diff --git "a/data/dm_maths/full_data_2/1718_11255.jsonl" "b/data/dm_maths/full_data_2/1718_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1718_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y be (-58)\/(7\/(-24 + 3)). Let m = y - 174. Solve -9 = -3*g, m*o - 4*g = o - 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + (0 - 8))*1\/(-1). Suppose -r = x, 2*b + 0*r + 2*r = 0. Solve 3*u + 2*t = -b, 2*u + 10 = -2*t - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-121)\/(-11))*(-1)\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 7:44 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**4\/4 + 4*p**3\/3 + p**2 - p - 345. Let c(m) = m**2 + 4*m - 7. Let n be c(-6). Give a(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24682 and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 14 (b) -69705 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 6*x + 3*x = 0, 4*n + 4 = 2*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.50050492 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 429*i. Let z(b) = b**2 - 3*b. Let t(j) = d(j) + 3*z(j). Factor t(k).\nAnswer: 4*k*(k + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + 118. Suppose 4*c + 3*a = d, 2*a + 1 = a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11.6, -2, 14?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4704764 and 5880955?\nAnswer: 23523820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 6*n + 3*n)*(2 - 1 + 1) - 15*n + 19*n + 2 - 9*n.\nAnswer: -9*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*s + 8035 = -777 - 362 - 4840 for s.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 185\/3852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444520 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.6 - 2.6. Let q = -4 - -4. Let g = 162 - 812\/5. What is the second smallest value in g, x, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1992, -35, -1, 5.\nAnswer: -1992, -35, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 - 3*b**2 + 9*b**2. Let h(l) = 4*l. Determine d(h(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + 5*f)*(1 + f**3 + 3*f**3 - 2).\nAnswer: 8*f**4 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4.4, -0.28, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/69 - ((-1824)\/46)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 20 = l, -3*d + 4*l = 710. Let w = d - -552. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82719.89 micrometers in meters?\nAnswer: 0.08271989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 915588101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8594 - 1655*d**4 - 1253395*d**3 + 1253395*d**3 wrt d?\nAnswer: -6620*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -23*o**4\/24 + o**3\/3 + 217*o**2. Suppose 0 = -2*v - 13 + 1. Does 10 divide a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) -3 (b) 3\/8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -17, -13, 13, 67?\n\"Answer: u**3 + 2*u**2 - 25*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/131811 and -93\/1484?\nAnswer: 3690708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = 4*l + 4*v, 0 = l - 3*v - 17. Which is the closest to -2? (a) -4 (b) 1\/8 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294 - 199. Calculate the remainder when n is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3413700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**1*n)*n*n)**(-26)*(n**(-4))**(-21) assuming n is positive.\nAnswer: n**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 9:15 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -232324 (base 5) to base 7\nAnswer: -33451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37b (base 13) to base 14.\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2478, -4436, -6394, -8352, -10310, -12268?\n\"Answer: -1958*m - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112.8 + 112.75. Let o = -5.9 - -0.9. Is s at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 31 = 5*u, 5*u = b - 0*b + 19. Let f(q) = 3*q - 2. Let p(l) = -4*l + 3. Let r(c) = 6*f(c) + 5*p(c). Let x(n) = -5*n + 7. Determine b*x(v) - 14*r(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 278, 277, 276, 275, 274?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74132733 divided by 177.\nAnswer: 418829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 7126?\nAnswer: 7115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6148243 nanograms to kilograms.\nAnswer: 0.0000000000006148243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 - 2*z**3 + 3*z**3 - 5 + 12 + 5*z**2 as p*z**3 + s + c*z**2 + q*z and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*l + 30422 = 214*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 79 - 78 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/22)\/((-5)\/10 + 0). Let x = -38.4 - -38. Which is the nearest to 0? (a) x (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*o + 36, 8*o = 10*t - 12*t + 2*o - 38 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*p + 3*p**3 - 2428 + 2426 + 5*p**2 - 4*p**3 to c + z*p + f*p**2 + j*p**3 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -79*t**3 - 3*t**2 - 2*t - 3. Let k = -318248 - -318287. What is the remainder when m(-2) is divided by k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15\/2)*l)**(1\/26)\/((l*(l*l**(5\/13)\/l)\/l*l*l)\/l**(-19)) assuming l is positive.\nAnswer: l**(-1125\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2594 minus -6836558068?\nAnswer: 6836555474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 223*w - 99*w - 109*w = -60, 3*s = 3*w - 13*w - 78 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153)*-1 - sqrt(153))*6 - sqrt(153))\/(sqrt(9) + -1*sqrt(900)).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 3 + 0 + 3. Let j(h) = -9*h**2 - 11. Let u(d) = -5*d**2 - 6. Let x(r) = 6*j(r) - 11*u(r). Give x(c(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4797231 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/2*1*4. Suppose -9*m - 25 = -g*m. Solve 15 = 5*t + 5*c, 1 = 4*t - m*c - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by -1403.\nAnswer: -147\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 4*t**2 - 3*t**2)*(t + 0*t - 3*t)*(1 - t - 1)*(-2 + 6 + 6).\nAnswer: -40*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v*((v**(-2\/3)*v)\/v)\/v*v))*v))**21)**(2\/35)\/((v**(1\/4)\/v)**40)**34 assuming v is positive.\nAnswer: v**(5098\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-3 - 1\/((-3)\/24)). Let h(d) = -d**2 + 2*d + 1. Let k be h(b). Differentiate -11 - 10*u - k - 8 wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15204*-0.06\nAnswer: -912.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*w - 77*w - 3 + 4 to the form f*w + i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8055 and 250605.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 23 != -157.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 g when three letters picked without replacement from {c: 11, g: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30016437?\nAnswer: 3, 11, 227, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.557 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-133 - -109) + (16 - 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from {a: 1, s: 2, v: 1, b: 1, x: 1, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1976*o + 29484. Calculate v(-15).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35654016 is divided by 262.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436611 is divided by 6926.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2. Let c = -134 - -137. Let z(i) = 477 - 239 - 242 - c*i. What is y(z(j))?\nAnswer: -36*j**2 - 96*j - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(2 - 2*j - 2) + (-450 + 450 + 69*j)*(-3 - 3 + 5).\nAnswer: -73*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 - c - 4. Let y(t) = 5*t**3 - 21*t**2 - 28*t - 17. Let x(g) = 6*i(g) - y(g). What is the remainder when 539 is divided by x(-13)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*w - 509*w - 71*w**2 - 41*w**2 + 1014*w.\nAnswer: -112*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 12*l**2 - 20. Determine t(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 7*u**2 - 6*u + 19. Let w be o(-8). Let g be 2 - ((-12)\/w - -1). Suppose 0*v + 4*v = 72. Solve 2*y - 3*x - 16 = -0*y, 0 = g*y - 2*x - v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79\/228 + 1\/76. Let m = -0.8 - -3.8. What is the closest to 0.1 in 4, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 37*g. Let d(y) = -29*y + 92*y - 29*y - 33*y. Calculate d(l(s)).\nAnswer: 37*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.58 - -0.05.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i + 21866. Let y(z) = -23*z**2. Determine f(y(q)).\nAnswer: 207*q**2 + 21866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332049 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 = -3*l - 5, -16 = -4*i + l. Suppose -2*k - 1 = 3. Let m be (-4)\/(-2) + (-2)\/k. Solve 5*b = -r - 3*r + 40, -m*r - 1 = -i*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 34. Let s(u) = u - 67. Let y(f) = 3*s(f) + 5*x(f). Let m be y(17). Round m to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 23*v - 63. Let i(d) = d**3 - 24*d**2 - 51*d - 7. Let z be i(26). Give a(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 387 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-seven fifths of a kilometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499801.\nAnswer: 499801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -18) + (7 - 1) + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -82, 0.06, 4, -0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384437235.\nAnswer: 3, 5, 7, 13, 17, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at most as big as 1\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21920238 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209237 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 594*p*x**3 - 183*p*x**2 + 12948*x**3 + 5974*x**2 wrt x?\nAnswer: 3564*p + 77688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/4 + 35\/12. Which is the biggest value? (a) j (b) -1\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 - 72. Suppose 0 = -11*v + 16*v - o. Calculate the remainder when 53 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487 - 815 = -39*s + 477 + 833 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8*1)\/2)\/((-4)\/(-40)*-25)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110963, -110968, -110975, -110984, -110995, -111008, -111023?\nAnswer: -111040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 3992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/27 + 4920\/27. Suppose i*m = 180*m - 35600. What is m rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5394498 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 + 253*u - 321. Let p be x(83). Calculate the highest common factor of p and 5269.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**3 - 35424*a**2 - 215901*a.\nAnswer: 24*a - 70848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 22*b - 2 + 13*b - 2 - 14*b. Let c be (4 - 4) + (-14)\/(-2). Is o(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30726*p**3 + 30779*p**3 - 61586*p**3.\nAnswer: -81*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, z: 3, m: 8, j: 1, l: 5}. Give prob of sequence ylm.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30826 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*n**3 - 2*n**3 + 10*n**3)*(3 + 1 - 5) + (3*n - 3*n + n)*(3*n - n**2 - 3*n).\nAnswer: -31*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1023349 to the nearest ten thousand.\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599245 is divided by 208.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11389.339222471 plus -5?\nAnswer: 11384.339222471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77500157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5\/2 + 15*a**4\/2 - 31*a**3 + 17*a**2 + 63*a\/2 - 49\/2 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1127 and 483.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i + 1. Let a(f) = -2*f - 1. Let t(w) = -5*a(w) - 2*h(w). Is 17 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 148*v**2 + 123*v - 19. Is r(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24375.25nm to micrometers.\nAnswer: 24.37525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9926 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 13*y**2 + 15*y - 1. What is a(11)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -106*z + 13. Let u(w) = 54*w - 7. Calculate 6*g(o) + 11*u(o).\nAnswer: -42*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebeeebebebeeeebeeb. What is prob of picking 1 b and 1 e?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, e: 2}. Give prob of picking 2 s and 1 e.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6346455935 + -4442074902589853\/699930. Let a = k - 2\/5555. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*k**2 + 2 + 22*k + 86*k + 28*k + 152*k**2 - 305*k**2 in the form p + m*k + z*k**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*k - 656*k = 1411*k + 30580 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 241, 0.1, -53?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 616040351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4)\/b)\/b**(2\/9))\/(b*b**(1\/4))**(42\/11)*(b**(-4\/5)*b**(2\/17))\/((b*b**(-4))\/(b*b**(-2)\/b)) assuming b is positive.\nAnswer: b**(-182683\/33660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.7, 5, 2, -350, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -213*u**2 - 48 with respect to u.\nAnswer: -426*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 - (-1 - 1\/(1\/1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -104 - 5*p**2 - 5*p - 89 + 209. Let h(o) = 6*o**2 + 5*o - 18. Let j(u) = 4*h(u) + 5*v(u). Suppose 3*s + 28 = -s. What is j(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -5 - -4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97)\/(-582)*(-3)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -61.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 740440 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -9.02. Let r = n - 0.142. What is r rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94263332*y + 143990919 with respect to y.\nAnswer: -94263332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let j(y) = y**3 + 3*y**2 + 4*y + 15. Let m be j(-3). Which is the nearest to 1\/4? (a) l (b) -15 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652932 less than or equal to 652933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8269 equal to 8269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 267 + -104. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 2*i**2 + i - 6. Let c be p(2). Suppose 322 = 3*s + c*s. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 127109 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(77\/(-4)) - (-4)\/(-7). Solve p = -u + 14 - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-10) - (-6)\/(-15). Let w(p) = 1 + 1 - 3589*p**2 + 3592*p**2. What is w(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.1 (c) -8.6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5 - 30*f**4 + 126*f**3 - 98*f**2.\nAnswer: 2*f**2*(f - 7)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(3156\/2367).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16959491 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/60 - q**4\/6 - 2*q**3\/3 - 3*q**2. Let a be c(-5). What is the common denominator of -83\/18 and (30\/a)\/(32\/(-90))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 + 2*n**2 - 2. Let f(m) = -436*m**3 - 2*m**2 + 2. What is -f(s) - k(s)?\nAnswer: 433*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (-2 - (7 + -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 3. Let x = a + 214. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/11 (b) -7853 (c) 3 (d) 4 (e) -2\/7 (f) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/144 and -35\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3388 and 1232?\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/221 in 4, -0.7, 2\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 850 = 5*a + 5*a. Let r be a\/(-34) + (-6)\/(-2). What is the closest to 1\/4 in r, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t**3 - t**2 + 2*t**2 + 7*t**3)*(-4*t + t + t)*(4 - 3 + 2).\nAnswer: 12*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -28.3233411\nAnswer: -28.4233411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2361*n - 2371*n = 23 + 137 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, 5*a + d = -3*d + 290. Let z be (-27)\/18*-1*26. Let t = a - z. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22 - (-2 - (2 - 2)). Suppose 0 = -x + 2, 4*x + 7 = -3*n + a. Let z(t) = 80949 - 4*t + 80953 - 161899. Determine z(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from ddtf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 1488, -0.2, 3, -0.259?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.08467 * 5\nAnswer: 0.42335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 87, 177, 267, 357, 447, 537?\n\"Answer: 90*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 d when three letters picked without replacement from {d: 7, o: 7, e: 4}?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agz when three letters picked without replacement from {a: 1, z: 1, r: 6, c: 9, g: 2}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60402.\nAnswer: 2, 3, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 6*o**2 + 6. Let n be w(-5). Let l = n - -23. What is the third derivative of 2*t**2 + 17 - 17 - 6*t**2 - 2*t**l wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + o**3 - o)*(0 + o - 2 + 0) + (-14*o + 10*o - 53*o**2 - 63*o**2)*(0*o**2 - 2*o**2 + o**2) as y*o**2 + l*o**4 + m + s*o**3 + k*o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**41*k**4)\/((k*k**1)\/((k\/k**(-2\/7))\/k))**(5\/7) assuming k is positive.\nAnswer: k**(2145\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -74172410, -74172412, -74172414?\n\"Answer: -2*x - 74172408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-104)\/6825 - (-4)\/(-50). Sort j, 3\/4, -5, -0.5 in decreasing order.\nAnswer: 3\/4, j, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212984 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -13434234440?\nAnswer: -13434234440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 151 = 2*i - 4*i, 154 = 2*i - 2*x. Suppose -i*y + 612 = -72*y. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -701*p - 65. What is the units digit of r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*c = -65, v - 3*c + 30 = 2*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -482 + 737. Suppose 4*h - 715 + s = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2*83\/3901).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*b + 3*b. Suppose 0 = 2*s + 2*l - 78, s + 2*l = -b*l + 51. Suppose p + 1 - s = 0. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35 and -2.6.\nAnswer: -37.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(36)\/sqrt(3)*-4) + ((sqrt(17)*2 + 1)*2)**2.\nAnswer: 63*sqrt(17)\/4 + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35.15 - -1.45. Let f = w + -37. Let d = 497\/3 - 20383\/123. Sort d, f, -1\/4 in decreasing order.\nAnswer: d, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**4 + 10 - 2*a - 12*a**4 + a**2 - 8 + a + a**3 to the form u*a**4 + v*a + r*a**2 + s*a**3 + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1954886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 2:50 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-1\/9)\/q)*q**(-1\/8)\/q*(q*q\/((q**(-3)\/q)\/q)*q*q*q)\/(q**1\/q) assuming q is positive.\nAnswer: q**(791\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 8 = 5*p, 27*p - 26*p - 20 = -5*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -33 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.5009 + 21.800898. Let m = 0.04 - -0.26. Let g = r - m. What is g rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6449\/5 - -1169. Is a at least -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166196 is divided by 110?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(16\/5)\/(((j**(2\/29)*j*j)\/j)\/j))\/(j*(j**(-4)\/j)\/j*j**(-3\/2)) assuming j is positive.\nAnswer: j**(2793\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/40 and -137\/1680?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 32*p = -530 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*u - 398, 5*u + k = 2*u + 394. Suppose 2*r + u = 6*r. Suppose 0*b + 4*b + r = 5*t, 3 = t + b. Solve -t*v - 15 = -0*v + x, 3*x - 11 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (728070\/(-5355) - -80) + 56.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.066, -1\/5, 0.94, -0.0326 in decreasing order.\nAnswer: 0.94, 0.066, -0.0326, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 302, 480, 766, 1196, 1806, 2632?\nAnswer: 3710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 860771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 11 - (304\/16 - 40).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 16*i - 12. Let b be f(17). Suppose 6 - 16 = -v. Let m = v - b. Solve -k + 14 = 5*q + 2*k, -3*q - m*k = -18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + b70?\nAnswer: b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322307 is divided by 6712.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4764, 9338, 13716, 17904, 21908, 25734, 29388, 32876?\nAnswer: 36204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2493, 4955, 7415, 9873, 12329, 14783, 17235?\nAnswer: 19685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(28\/6 - -2). Let m = f + 32. What is the units digit of (-14)\/m*-3*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (16 + -10) - 11) + 12 - (-1 + -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 661 - 99*i**3 - 661 + (-4*i**2 - 2*i**2 + 2*i**2)*(-i + 3*i - 2 - i) in the form b*i + l*i**3 + d*i**2 + a and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:35 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -50345011?\nAnswer: 50344555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22001490 by 294.\nAnswer: 74835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 2350 and 2342 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18531, 23160, 27791, 32424, 37059?\nAnswer: 41696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 35, 85, 145, 209, 271, 325?\n\"Answer: -t**3 + 14*t**2 - t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 17*v**3 + 104*v**2 - 4*v - 11. Let w(g) = 9*g**3 + 55*g**2 - 2*g - 6. Calculate -6*o(l) + 11*w(l).\nAnswer: -3*l**3 - 19*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3412457473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -261*u**4\/2 + 2*u**3\/3 + 775*u - 830. Differentiate h(q) with respect to q.\nAnswer: -1566*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, e: 7}. Give prob of picking 4 e.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 385\/14*36\/10. Let a = u + -87. Let s be ((-20)\/50)\/(2\/(-660)). What is the greatest common divisor of s and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*j - 98, 2*a - 10 = -4*j + 18. Let w = a + -6. What is the remainder when 152\/5 - (-2)\/(-5) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*f - 3*f - 5 = 0, 2*f = -4*o - 10. Let x(m) = 3*m - 2. Let b be x(-5). Let q = b + 21. Solve 0 = -o*v + q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 13 = 4. Let g(k) = 2*k**3 + 32*k**2 - 73*k - 16. Let u be g(-18). Solve -h*a = -2*y - 11, 5*a - u*a = -4*y - 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:38 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1129 divide 241500960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeiesiieoeieoiesin. What is prob of picking 1 o, 1 e, and 1 s?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*k**2 + 0 - 46*k**5 + 0 + 51*k**5 wrt k?\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 100 = 4*w, -2*r + w + 0*w + 75 = 0. Which is smaller: 39 or r?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4280761*q**2\/5 - 534075108*q\/5 + 16658032356\/5.\nAnswer: (2069*q - 129066)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 103\/1070221 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 - 372*r**2 + 2408*r = 0 for r.\nAnswer: 0, 7, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b5 + 1?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 - 142. Let v(q) = -1948*q**3 + 3*q**2 - 2. Is v(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**3*p**2 - 5407*m**3*p + 96*p**3 + p wrt p.\nAnswer: -8*m**3 + 576*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199471526 a multiple of 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-74)\/14 - 66\/231. Suppose 5*t + w = -10. Let a be 30\/(-7) - 2\/(-7). Let n(d) = 9*d**3 + 2. Let y(v) = -8*v**3 - 2. What is a*y(m) + t*n(m)?\nAnswer: 5*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 304182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Let p be 3 - (106\/4)\/((-51)\/(-6)). Let z = -1.6 + 1.5. Which is the nearest to z? (a) m (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -23\/4. Let x = 0.17 - 0.01. Let p = x - -0.84. Which is the nearest to p? (a) o (b) 0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 110010?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2991061 is divided by 4031?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 52. Let x = 67.2 + -67. Which is the closest to 4\/5? (a) z (b) 1\/6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**31\/g)\/g)**(-42)*(g**(-35\/6)*g)**(9\/8) assuming g is positive.\nAnswer: g**(-19575\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29006 + -18611. Let o = l + -7316. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19032)\/780)\/(-122)*-295*1\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 91 = 16*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 146600939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*g - g = -24, -4*b = -5*g + 17. Solve b*f - 5 - 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -710 (base 10) in base 15?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22935000 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - j**2 - j**2)*(j**3 + 0*j**3 - 7*j**3) + (0*j - j - j)*(4*j**4 - 6*j**4 + 3*j**4).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 9 + 5 + 185*m + 11.\nAnswer: 185*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 15, 21, 29, 39, 51?\n\"Answer: x**2 + x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 2. Let k(j) = 2 + 1 - 12*j + 14*j. Suppose -s - 2*s = -5*x + 29, 3*x = -5*s - 3. Give x*k(u) + 7*q(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 397\/3 - 131. Let d = -5.111 + 0.111. What is the third smallest value in y, -4, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.146? (a) -3 (b) -10 (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 + 6*u**3 + 42 + 49 - 2*u**2 in the form r*u**2 + f + k*u**3 + j*u and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-5)\/(-35)*728\/32?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 207 = 3*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a factor of 285276948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.021 (b) 3\/13 (c) -3\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2363 - 2) + (-4 - -3). Let l be 1\/3 - t\/(-12). Suppose 0 = -2*d - 69 + l. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-1 + 14 + 0). Let a be -3 + 5 + -3 + 0. Calculate the lowest common multiple of t\/(-4)*a\/(-1) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z + 19. Suppose -3 + z = 4*k. Which is the second biggest value? (a) 0.3 (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.201 and 0.0859.\nAnswer: 1.2869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020243339 rounded to four decimal places?\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -173097295 and -173097297 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 120.1, 5, 4\/3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4 + 10*i + 3*i**2 - 4*i**2 + 8 + 5. Let d be l(-3). Let o = -25 - d. Solve -o*g + 0*g + 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532422 (base 6) in base 13?\nAnswer: -16973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 959, 7941, 26933, 63935, 124947, 215969?\nAnswer: 343001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32\/5 of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6*z + 11582 = 0, -2*v = -7*v + 2*z + 58006. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 807876 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*c + 8840 = -469*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 47. Let c(n) be the second derivative of -7*n**3\/2 + 165*n**2 - 27*n. Let q(a) = -2*c(a) + 15*v(a). Is 6 a factor of q(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4683 divide 593109988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54624096122 plus 0.4?\nAnswer: 54624096122.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -2*q**3 + 47*q**2 + 32*q + 99. Solve v(x) = 0 for x.\nAnswer: -1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9516 - 9516.00001225. What is w rounded to 7 decimal places?\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + r**2 - r. Let k(x) = x**3 - x**2 + 1. Let h be ((-16)\/(-10))\/(22\/(-385)). Let c = h + 27. What is c*q(v) - k(v)?\nAnswer: v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -343319*r**3 + 908824*r**2?\nAnswer: -2059914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 12*l + 1. Let y be x(5). Suppose -4*h = -7 - 1, -5*h = s - y. Suppose -38 = -2*i + 46. What is the greatest common divisor of i and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1147 + -0.11469979. Round k to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + 111210011?\nAnswer: 111202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 56 = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*i**3 - 80\/17 - 1458\/17*i**4 + 1096\/17*i - 5076\/17*i**2 = 0.\nAnswer: 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2334*z**2 + 5 + 11*z**3 + 32*z**3 - 2334*z**2 + z**3.\nAnswer: 44*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.929299mg in tonnes?\nAnswer: 0.000000001929299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 - -320. List the prime factors of h.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h + 17. Let b(y) = -3*y + 6. Let r(k) = 17*b(k) - 6*u(k). Let x = -47 + 75. Let s(l) = 46*l**2 - x*l**2 - 22*l**2. Determine r(s(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2916 divided by 4?\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttbt when four letters picked without replacement from {b: 12, t: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-24) - (-1)\/4. Let p be (2\/(-4) - s)*10. Let u(x) = x**2 - x - 3. Let z be u(3). Put z, 5, p in decreasing order.\nAnswer: 5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -797 - -945. Solve -161*i - 65 = -q*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dccccccccddccc. Give prob of sequence ddc.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z - 3*z. Let i = 0.2 - 5.2. Let s = 12 - 8. Which is the second smallest value? (a) z (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5808 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23499574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1692571 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 89 - 4?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48713, -49184, -49655, -50126, -50597, -51068?\nAnswer: -51539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0256 or -73?\nAnswer: 0.0256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 235\/4. Let m(d) = 4*d + 4. Let u be m(2). Let l be 3 + 30\/(-8) - 3\/u. Which is greater: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 17*x - 5. Let a(p) = p + 2. Calculate -4*a(r) - c(r).\nAnswer: -21*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 402066217 to the nearest integer?\nAnswer: 20052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 30*n + 52. Calculate the remainder when x(-8) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 6*x**2 - 5*x + 2. Let c be g(-5). Suppose 4*a = -2*z + 40, z + c*a + a = 23. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -854 in descending order.\nAnswer: 1, -2, -854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 2*a**7\/105 - a**6\/10 - 16*a**5\/15 - 2*a**4 - 60*a**2 + 280*a. Let g(u) be the first derivative of b(u). Factor g(c).\nAnswer: 4*c*(c - 6)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 44*p**2 - p - 31. Let r be k(-22). Let s(q) = q**2 + 7*q - 17. What is s(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 6, -25, -70?\n\"Answer: -7*u**2 + 4*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/((-9)\/3) + 22419996\/(-2). What is z rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55257, -221039, -497343, -884169, -1381517, -1989387, -2707779?\nAnswer: -3536693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 3. Let l be w(2). Suppose -5*b - 2*s + 248 = 0, -3*b + 153 = 2*s - l*s. Calculate the highest common factor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 + 14. Let x(s) = -4*s**3. Let k(t) = -4 + 1 + 4 + 3*t**3. Let q(p) = -3*k(p) - 2*x(p). Let y = -24 + 10. What is y*q(h) - 3*l(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 6*n - 8*n + 0)*(0*n + 3*n - 2*n)*(-262*n + 20*n + 128*n - 242*n) to o*n**3 + c + f*n + a*n**2 and give a.\nAnswer: -2848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5010, -5229, -5448, -5667, -5886, -6105?\n\"Answer: -219*p - 4791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613*z - 68910 + 8889 = 83*z + 17*z. Suppose n + 7 - 28 = 0. What is the smallest common multiple of n and z?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*o - 167 = -62, 0 = -3*i - 3*o - 45. Let s be (2\/(-1))\/(8\/i). Suppose 3*p - 4 + 1 = 0, -s*p - 7 = -4*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4319*f + 2. Let k(q) = -5*q + 9. Let p be k(2). Let u be c(p). Let r = u - -6950. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/(sqrt(9)*1))\/(sqrt(4)\/(-3*sqrt(2))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**2 + 19*d - 1. Let l be m(4). Let h(w) = 2*w**3 + 6*w - 1. Let z(s) = 3*s**3 + 5*s - 1. Give l*h(x) + 6*z(x).\nAnswer: 8*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 + 9. Let c = k + 14. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i - 14. List the prime factors of i\/(21\/(-12)) - -16.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31554 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 13*l**2 + 4*l - 15. Let v(w) = -w**3 - 4*w**2 + 3*w + 3. Let c be 5\/(2 - (-1 - -4)). Let m be v(c). Is a(m) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -2 - -90 - -3. Let g = t + -60. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -633, -664, -713, -780, -865?\n\"Answer: -9*s**2 - 4*s - 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -20*o**4\/3 + 10892*o**3\/3 - 408920*o**2\/3 - 55104*o = 0?\nAnswer: -2\/5, 0, 41, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or 1?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27403 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -6)*12\/(-10). Let p be ((-21)\/(-6) - 3)*34. Let d(h) = -8*h - p + 14*h**2 + 8*h. Let k(v) = -5*v**2 + 6. Give a*d(c) + 17*k(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(1\/3)*v)\/v*v**6)**(-36))**(-1\/69))**10 assuming v is positive.\nAnswer: v**(760\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 3103 = -1637*v - 68105 - 32171 for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 2*z - 4*f - 264 = -344, 4*z - 65*f + 490 = 9*f for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14338393?\nAnswer: 43, 333451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 6*y + 20, y + 4*x = -0*x - 11. Put y, -27, 3 in descending order.\nAnswer: 3, y, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + 2*n**3 + 11*n**3 + (2*n + 3*n - 3*n)*(2*n**2 + 0 + 0) + n**2 - 2*n**3 - n**2 - 28*n**3 + 48*n**3 - 21*n**3 + 86*n.\nAnswer: 10*n**3 + 86*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/14661350 and 75\/1672?\nAnswer: 58645400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 770.6 - 771. What is the smallest value in -2\/7, -0.24, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(507\/39))\/((-6)\/(-20))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in years?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01822 - 16.98978. Let s = c + 0.008. Let g = s - -17.0000022. What is g rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 2\/(-4)*(-9 - 35)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.40688 + 0.3\nAnswer: 3.70688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/4 + 8*l**2 + 29*l + 28 = 0.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 21089 = -2*y, -x - 4*x = -2*y - 105457. Suppose -4*k = 4*f - 1108012, -5*k = 3*f - 809924 - x. What is f rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5 + 16*g**4 + 88*g**3 + 170*g**2 - 25*g - 250 = 0?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4080 - -11016. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**4 - 2*a**2 + 9*a**2 + 0*a**4)*(9*a + 34*a - 6*a).\nAnswer: 185*a**5 + 259*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4212 and 361530.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -472275 (base 9) in base 13?\nAnswer: -9c248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/372979 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464935099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84359963?\nAnswer: 37, 383, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1525*c - 65724. Determine x(43).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:18 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 8:35 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 take away -3?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-1 + sqrt(7))*-5 - sqrt(7))**2 + (-2 + sqrt(448))**2) + (sqrt(49)\/(sqrt(14)\/sqrt(2)) - 3*(sqrt(7)*2)**2)*2.\nAnswer: -4542 + 554*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790404?\nAnswer: 2, 7, 11, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9936.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*b*l*p**2 - 91*b*l + 1489*b*p**2 wrt l.\nAnswer: -7*b*p**2 - 91*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*63.\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10014 + 250?\nAnswer: -5324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 10:57 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b9c - 3?\nAnswer: 6b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.1053 rounded to the nearest integer?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghgbhggrghhhbgliglh. What is prob of sequence gr?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f + 23*f - 4578 + 1819 = 10*f for f.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t**2 - 2*t + 6. Suppose -940 = -7*d - 3*d. Let y = -94 + d. Let u be c(y). Sort 2, -2, u in decreasing order.\nAnswer: u, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.61 + 8.51. Let k = l + -9. Let h = -1 - k. Is 2 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*y + 55*y + 50*y)*(-8 - 2*y + 3*y + y).\nAnswer: 144*y**2 - 576*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 - 2*o**2 - 3*o - 4. Let w(k) = k**3 - k**2 - k - 2. Let m(t) = 2*c(t) - 5*w(t). Let s be m(0). Suppose s*d + 3*d = 0. Solve d = 3*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84896654.2 to the nearest ten thousand.\nAnswer: -84900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 4. Let s(z) = 1. Calculate f(a) + 2*s(a).\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/324 and 139\/3909060?\nAnswer: 3909060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*2\/3*21)\/2. Let t = l + 12. Suppose 638 = t*n - h, 4*n + n - 5*h = 650. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -113*y - 1038. What is m(-8)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen quarters of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 604 + 498916677.58.\nAnswer: 498917281.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2198)\/168 + 1\/12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19723320343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/5 - 13\/390*-54762 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2665532 and 5331063\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 12:20 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89.3 + -119. What is c rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 36 = -4*w. Let o = -16 + w. Let v(y) = y**3 - y**2 - 2. Let m be v(o). Solve 2*g + 3*n - 8 - 4 = 0, -2*n + 10 = m*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8941 is divided by 8931.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + j + j**2 - 11*j**3 + 0*j + 9*j**3 - 1 - 2*j**4 in the form c*j + t*j**2 + l*j**3 + z*j**4 + y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/11 - 24*a**4\/11 + 12*a**3\/11 + 416*a**2\/11 + 390*a\/11 - 72 = 0.\nAnswer: -11, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05527895995 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -58. Let y = -14 + p. Let k = y - 13. Calculate the greatest common divisor of 64 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-2\/25)*(l**(-3)\/l)\/l*(l\/((l\/(l*(l*l**1)\/l))\/l*l)*l)**(-10) assuming l is positive.\nAnswer: l**(-848\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -404\/13 - -33. Let h = -8375\/9 + 932. Calculate the common denominator of h and m.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigegbbggengejiggj. Give prob of sequence bij.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134974.\nAnswer: 2, 567487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4*z - 4)*(0 - z + 0) + 5*z**2 - 4*z**2 + z**2 + 21*z**2 + 12*z**2 - 19*z**2 as t + r*z + o*z**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666 = 48*c - 714 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 51*g**3 + 11*g**2 + 24. Let o(f) = 25*f**3 + 6*f**2 + 13. Determine 11*o(y) - 6*t(y).\nAnswer: -31*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9))**(-11) assuming p is positive.\nAnswer: p**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*v = 49*v - 120*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 15173170 + 15173170 + 13*n**2.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 13*r + 18. Let p be b(14). Suppose 3*w - 4 = 2*a - 8, p*a - 5*w = 6. Let z be (-16)\/4 + 7 + a. Is 20 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1029748303.6378 from -0.6.\nAnswer: 1029748303.0378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 7:34 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -4*x + 24, 9*a - 35 = 11*x + 10*x - 20*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1282, -1661, -2040, -2419, -2798?\n\"Answer: -379*o - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 1. Suppose 167 = 5*a + 4*q, -o*a + 3*a - 5*q + 95 = 0. Let g = 2051 + -1879. Calculate the remainder when g is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8*i**(2\/11)*i**(1\/3)\/i**(2\/19) assuming i is positive.\nAnswer: i**(5273\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a factor of 1393119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 43 = 5*s. Let l = -11 + s. Suppose -2*t - 12 + 52 = l. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33070805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 11*n**2 + 12. List the prime factors of d(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 28383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 20*s**7\/21 + s**6\/30 + 5*s**4\/12 - 5*s**2\/2 - s + 10. What is the third derivative of g(n) wrt n?\nAnswer: 2400*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 65. Suppose p*n - 320 = 7*n. Suppose 4*s = -68 + n. Solve -s = -2*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167319 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112.5832 minutes in hours?\nAnswer: 35.20972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1354*z**2 + 45*z + 257. Is s(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2258 is divided by 142?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -707*f**2*j - 1413*f**2 + 75832*f*j + 3096*f + 16 with respect to j.\nAnswer: -707*f**2 + 75832*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/2505 + -14311\/10531020. Is 0 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 8*v + 3. Determine u(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596 divided by -5.\nAnswer: -596\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-24))**(-8) assuming d is positive.\nAnswer: d**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -259421, -73, 1 in descending order.\nAnswer: 4, 1, -73, -259421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30829, -30798, -30763, -30724, -30681, -30634?\n\"Answer: 2*m**2 + 25*m - 30856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 373 + -249. Let k = f - 130.2. Let a = k + 6.199739. Round a to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 122111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3773609.563 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = -13*u + 19*u. Solve u = 2*c + 2*l - 16, 3 = -5*l + 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/((-12)\/(-90)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/143)\/((2\/(-44))\/(36\/(-324)))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3800*a**3 - 2*a**2 - 611 wrt a?\nAnswer: -22800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213040 + -2?\nAnswer: -213042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/6962617 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2*n**2 + 2*n + 4. Let s(p) = -p. Suppose 2*x - 22 = 4*z, -2*x - 3*z - 1 - 12 = 0. Calculate x*f(u) + 3*s(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -2\/7, 2\/5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3 + 29*o**2 - 1 + 4 - 22*o**2. Let n(c) = 2*c - 3*c + 0*c. What is i(n(f))?\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*2*(-78)\/104*5744\/(-50260)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12))\/((-12)\/(-16)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6591 and 4056?\nAnswer: 52728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -0.01, 28, -1.505, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from jggggggggjggg.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2924*n + 787?\nAnswer: -2924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k. Let h be j(7). Let s(z) = -z + 10. Let f be s(-4). What is the greatest common divisor of f and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2\/3 - 157*n\/3 + 62\/3 = 0. Calculate n.\nAnswer: 2\/5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3087.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - 14*q**3 - 23*q**3 + 20*q**3.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.3, 237, 0.1, 3 in increasing order.\nAnswer: -7, 0.1, 0.3, 3, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**7\/105 + 3*d**6\/40 + 4*d**3 - 2*d**2 + 11. What is the derivative of r(u) wrt u?\nAnswer: 8*u**3 + 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/27)\/(h*h**(-7\/4)) assuming h is positive.\nAnswer: h**(77\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmq when three letters picked without replacement from {q: 4, m: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/40)\/((-3)\/5 - -1). Let u = 648 + -642. Solve -j + h - 3 = u, 0 = -a*j - 5*h + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -x + 4*w, 5*x - 4*w + w - 245 = 0. Calculate the remainder when x is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60885\/(-23616)*(-2)\/(-5))\/((-2)\/((-8)\/(-3)))\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**6\/120 + 7*c**5\/60 + c**4\/3 + c**3 + 5*c**2. Let p be b(8). What is the units digit of 3\/p*(-1 - -45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x - 7. Let v(n) = 20*n - 16. Let p(q) = 1. Let f(k) = 18*k - 8. Let o(j) = -f(j) + 6*p(j). Let a(r) = 3*o(r) + 2*v(r). What is -5*a(c) - 8*h(c)?\nAnswer: -2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 5*v + 135 = 0, 4133*p + 3*v = 4129*p + 36 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -55. Let i = -2 + -60.5. Let y = 62 + i. Which is the second smallest value? (a) 5 (b) 0 (c) y (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1310350954 rounded to 6 decimal places?\nAnswer: -0.131035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6)\/(-48)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 16*b + 22. Let g be u(-17). Suppose 0 = -0*a - g*a - 2*d + 33809, 2*a + 3*d = 13528. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/7)\/l**(2\/5)*(l**(1\/3)\/l)**(-6\/25))**(8\/17))**40 assuming l is positive.\nAnswer: l**(-64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 34*n + 4*n as t + z*n and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-18)\/(-84)*(-10)\/15.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -42 + 32 - (-2 + 45).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*h**2 - 21*h**2 + 7 - 22*h**2.\nAnswer: -103*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1351.809 and -0.979.\nAnswer: 1350.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3*h + 15 = 7*g, -3*g - 20 = -4*h. Suppose g = j + 4*l - 3890, 0*l + l = 2*j - 7798. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + -16. Let r(y) = -y + 24. Does 3 divide r(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16050\/49 or -3.6?\nAnswer: 16050\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1538346376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y + 30. What are the prime factors of 2\/y - 9223\/(-115)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 54 - 13 + 136*j**2 - 11 - 11.\nAnswer: 136*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 238*c**2*f**3*w**3 - 1704*c**2*f**3*w + 2*c**2*f*w - 24*c*f**2 + 18*c*f*w**3 - 9*c*w + f**2*w wrt f.\nAnswer: 1428*c**2*w**3 - 10224*c**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 2249?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3\/2 + 12145*j**2 + 14491750*j - 630262500 = 0. What is j?\nAnswer: -2450, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 33, 0.\nAnswer: -4, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55524 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1050 and 450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**2 + a**3 + 6*a + 7 - 16 + 14. Determine g(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 9*z - 741. Suppose 43*t + 112 = z*t. Solve -2*y - t = 0, -d + 0*y = -2*y - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05365099 to 5 dps.\nAnswer: -0.05365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = z + 80, -4*x - 230 - 42 = 4*z. Let v = 93 + z. Suppose 15*w - v*w + 42 = 0. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -639 - -678. What is the greatest common factor of 24 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/60 + 5*r**4\/12 - r**3 + 2*r**2. Let f be x(-11). Solve f*l + 1 = -3*u, -u = 3*l - 4*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 12\/27*9. Let i = 10 + -4. Solve -h*q + i*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 13 - 23. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1\/g)\/g)**(-1\/18)*g\/(g**(-1\/4)\/g)*g*g**(-7) assuming g is positive.\nAnswer: g**(-133\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/8))\/o**3)**(-46)\/(o**(2\/9)*o**7*((o\/(o\/(o\/(o*o**(-1)))*o))\/o)\/o*o*o\/(o*o**6\/o)*o) assuming o is positive.\nAnswer: o**(3439\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/5, 0.0265, -0.5?\nAnswer: 0.0265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -64. Let s(t) = -t**3 + 4*t**2 + 1. Calculate the remainder when s(3) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3766665*t + 90. Let c(w) = -7533329*w - 183. Let p(d) = 4*c(d) + 7*h(d). Let r be p(18). What is r rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14401\/30566 + -1\/1798. Let z = v + -74\/85. Let k = -0.2 - 0.3. Which is the closest to z? (a) 2 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16200517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -289 + 291. What is the third derivative of -32*t**2 - 62*t**q + 2110*t**4 - 2269*t**4 wrt t?\nAnswer: -3816*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 30\/(-34))\/((-3430)\/(-13720))?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 5*i**8\/336 + 2*i**5\/15 + 10*i**2. Find the third derivative of n(z) wrt z.\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 17*t + 9. Let a be k(-13). Let f = a - 59. Find the second derivative of 88*u**2 - 88*u**f - 15*u - 8*u**3 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 349, 691, 1033, 1375?\n\"Answer: 342*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 21, -4, 2, 3\/11, -2\/9?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/278 and 45\/11.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 789400699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*i + i**2 + 7*i**2 - 22*i - 2*i**2 - 8*i**2 + 7*i**2.\nAnswer: 5*i**2 - 244*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1985, 1883, 1713, 1475, 1169?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 t when three letters picked without replacement from vtttvti?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/180 and -149\/42440040.\nAnswer: 42440040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h. Let o(g) = 21*g + 6. Let t(l) = -55 - 5*l - 75*l - 88*l - 22*l. Let a(x) = 55*o(x) + 6*t(x). What is i(a(d))?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heeehyaeeaeaaeehey. What is prob of picking 1 h and 1 a?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b229b (base 12) to base 14.\nAnswer: 1b6819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57843622 by -298163.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2626 + -2620. Solve -5*t + 30 = -5*h, -h + 3*t = 6*t - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-12))\/13*0\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + u + 1. Let j be r(-1). Let f be 3\/(-1) - (-5 - 0). Suppose -f + 4 = x. Solve -j*h + 16 = x*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f + 2. Let j be z(2). What is the common denominator of j + -2 - 1\/4 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988 and 17176?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-47)\/(-188))\/(2\/8). Let w(r) = -4*r**2 - 8*r - 3. Let s(a) = a**2 + a + 1. What is z*w(o) + 5*s(o)?\nAnswer: o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 43*v - 1848. Calculate the greatest common factor of 6886 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -50*j. Let y be (-8)\/(-20) + 154\/(-10). Let k(a) = -7*a. Let x(s) = y*k(s) + 2*h(s). Let r(p) = -2*p. What is r(x(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -155 and 38.\nAnswer: -5890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 3*z + 3*z + (-1 + 2*z + 1)*(-3 + 3 - 2) - 427*z - 557*z + 816*z - z + 3*z - z.\nAnswer: -168*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-58)\/(-20)*18\/63 - 4\/10. Let -15\/7*n + 18\/7 - v*n**2 = 0. What is n?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(5 + sqrt(68) + 0) + -5*(sqrt(2448) - (0 + 0 + sqrt(2448)))**2.\nAnswer: -10*sqrt(17) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*z - 35 - 14 = 0, 3*d - 63 = -3*z. Suppose 2 = -4*q + d. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 0, 22, 23?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v\/((v*v*v\/(v*(v*v**(-7)\/v)\/v))\/v)*v*v*v*v))*v**(-1\/22) assuming v is positive.\nAnswer: v**(-67\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -16, 1 in ascending order.\nAnswer: -16, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 63. Let u be 12*9\/(-360) + (4 - (-106)\/20). Let w be (-2)\/(-3 + i\/u). Put w, 0.2, 5\/4 in descending order.\nAnswer: w, 5\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-3 - -2) - -11. Suppose -24*o + 116 = -100. What is the remainder when (2 + x\/o)*15 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2 - 4*i**2 - i**2 - 4*i**2 + 2. Suppose -13*h - 6 = -10*h. Give n(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 99*s - 6346. What is z(64)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-292 + 513 - 440)*(-3*m - 2 + 2).\nAnswer: -657*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -598 or -587?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67641492 to the power of 1\/2, to the nearest integer?\nAnswer: 8224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.9 - -7. Let b = -0.5 + 0.5. What is the smallest value in r, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5*q = -z - 4, -5*z - 2*q - 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42438767 is divided by 381.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 95102*r + 4 + 8 - 95098*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by 37.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75108772 is divided by 1747.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-15) + 19\/(-3). Let p = -3 - h. Solve -3*q - p = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -680*u. Let x(b) = -23*b**2 + 2248*b + 42*b**2 - 2248*b - 26*b**2. What is x(o(y))?\nAnswer: -3236800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -135?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 597 + 100 = 0. Let p = x + 10. Calculate the greatest common divisor of p and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26834683, 26834686, 26834689?\nAnswer: 26834692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319 - -404. Suppose 3 - 1 = -4*k - 2*h, -3*k + 1 = 4*h. Calculate the remainder when u is divided by ((-66)\/15)\/(k\/5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 4. Let s(z) = 3*z + 16. Let m(a) = -a**3 + 18*a**2 + 39*a + 7. Let r be m(-2). Determine r*f(i) + 2*s(i).\nAnswer: -3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -54*i + 865. Give u(10).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 (base 8) in base 14?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtqqhqqgtjtqjqqqqqqq. Give prob of sequence jgt.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*s - 5*s**3 + 24*s**3 - 8*s**3 - 9*s**3 as v*s**2 + m + q*s**3 + n*s and give n.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8666230, -17332463, -25998696?\n\"Answer: -8666233*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3826021.\nAnswer: 89, 42989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t. Suppose -3*i - i + 16 = t. Solve -i*v + 0 = -20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, 4, -4 in descending order.\nAnswer: 4, -4, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2419 and -5118 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s**5 - 524*s**4 - 1756*s**3 - 1156*s**2 + 120*s = 0.\nAnswer: -6, -5, -1, 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - 3*s**3 + 7*s**4 + (2*s**2 - 4*s**2 + 4*s**2)*(15*s**2 + 18*s**2 - 8*s**2) + 32*s**4 + 38*s**4 - 90*s**4.\nAnswer: 37*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9 = -5*b + 115, -2*b = 5*a - 16. What is the smallest common multiple of 8 - (3 - (-55)\/(-5)) and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**5 - 5*f**4\/2 + 20*f**3\/3 + 20*f**2 - 76. Find z such that v(z) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*u + 620*u + 188*u + 697*u + 642*u as l*u + o and give l.\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -31 (c) 1 (d) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6 and -59\/309?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -45. Let s(u) be the third derivative of u**5\/60 - u**3\/6 + 4*u**2 + 6. Let i(h) = 8*h**2 - 12. Determine b*i(w) + 12*s(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) + (-8)\/240*-95.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -2) + (1 - 19) + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 3*f**2 - 1. Let j(y) = -6*y**3 + 7*y**2 - 1. What is -j(i) + u(i)?\nAnswer: 7*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**5\/4 - 7*n**4\/8 + 5*n**2 - 10*n. Let t(o) be the first derivative of i(o). Find the second derivative of t(c) wrt c.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 53. Let k = 16 - m. Solve w + 0*t + 9 = 2*t, -2*t = -k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 48 + -40 + (-2 - (3 - 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79977, -71849, -63721, -55593, -47465, -39337?\n\"Answer: 8128*f - 88105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/81, -4 in ascending order.\nAnswer: -4, -1\/81, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 5*f**2 + f - 1. Let y be z(5). Let p be (-2)\/(5 - 6) + (-4)\/(-2). Suppose -p*r = -y - 44. Calculate the highest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 184622 or 184621?\nAnswer: 184622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 2035*c**3 - 2035*c**3 - 1 + 4074*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/261696 and -11\/3248.\nAnswer: 1831872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49362692663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 9*y**2 + 17*y. What is the units digit of u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 3 (b) 2\/9 (c) -0.5 (d) -7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/9)\/(-36)*((-1)\/3)\/(22\/858)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:21 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -30, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1014625*q - 2029205*q + 1014583*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -118. What is the third biggest value in -4\/5, 2, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 2 - (89 - (-92 + 184)) - (-88 + 1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*k - 20, -9*t - 2*k - 8 = -11*t. Suppose -17*j + 13*j + 12 = t, -27520 = -5*a + 5*j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4611*d**4 - 1912*d**2.\nAnswer: -110664*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f - 3. Let r be z(5). Suppose 2*n + 4*d + 0*d = -4, -2*n = -2*d - 8. Let o be -5*(-2 + 12\/5). Put r, n, o in decreasing order.\nAnswer: n, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(99))**2 + -4)*4.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32022034233 - 3?\nAnswer: 32022034230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10961)\/(-47460) + (-117)\/(-42) + -3 and -31\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**2 + 41*s**2 - 136*s**2 + 38*s**2 + 37*s**2 - 39*s**2 + 33*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*1 - sqrt(10))*-4 - sqrt(10))\/sqrt(2) + -5.\nAnswer: -5 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.96348 kilograms to micrograms.\nAnswer: 30963480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12176?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3 - -3) + -28)*-4. What are the prime factors of -1 + j - 6\/6?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3853*t + 2663*t + 1117368 = -919*t - 5867*t for t.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.59 - 0.29. Which is the second biggest value? (a) u (b) 1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/648695 and -53\/10.\nAnswer: 1297390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 784899 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 2\/13 (c) -11 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + -1.4. Let t = -172 + 177. Which is the second smallest value? (a) 0.3 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 3555420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9022 + -8926. What is the remainder when 4894 is divided by z?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**3 - 4*w**2 - 11. Let t(b) = -3*b**3 + 2*b**2 + 6. What is 4*p(u) + 7*t(u)?\nAnswer: -u**3 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/(-296))\/(2\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, -5, -9\/2, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 22597*m + 6485343. Give t(-287).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -621493 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -19\/5 (b) -5 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 456, 800, 1292, 1938?\nAnswer: 2744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 7. Suppose -2*f + 5*f = -6. Let u be ((-48)\/(-15) + f)*-5. What are the prime factors of n(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.109871, -3\/16, -2?\nAnswer: 0.109871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 7. Let t be ((-3)\/(-2))\/((-9)\/(-12)). Suppose -t*x = x. List the prime factors of o(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p - p - 4*p)*(3 + 2 - 1) + (-p + 5*p - 2*p)*(-1 - 1 + 0))*(3*p**3 + 0*p**3 - p**3).\nAnswer: -40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*b = 10, 5*b = 7*d + 50 - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262 + 777 = -220*f - 2125 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 76. What is the greatest common divisor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 415*t**7\/42 - 3*t**5\/20 - 3350*t**3\/3 + 8960*t. What is the second derivative of u(h) wrt h?\nAnswer: 8300*h**3 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00734624 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-14)*-4*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + u)*(-3 + 0 + 7)*(-8*u + 6*u + 9*u)*(25 - 9 + 28).\nAnswer: 2464*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61\/3 in -3, -5\/7, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239396 = 6233*d + 315341 for d.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 63315 = 6*p - 5*h, 0 = -8*p - 2*h + 101346. Calculate the remainder when p is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 2*60\/24. What is the smallest value in -0.2, 24, 3, v, 1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11699, -11615, -11529, -11441, -11351, -11259, -11165?\n\"Answer: u**2 + 81*u - 11781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3 - 96*m**2 + 410*m - 312 = 0.\nAnswer: -52, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-14)*q*q*q**(-1\/3)*q*(q*q*q**(3\/7)*q)**(11\/6))**(-37) assuming q is positive.\nAnswer: q**(3145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 101121122212?\nAnswer: 101121122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/(-16) - (-1 - 2). Let r = -0.9 - -2. Let p = r + 3.9. Which is the nearest to -2\/5? (a) u (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.18 + 0.18. What is the smallest value in 4, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09364 - 11.09364. Let b = 2.6 - 2. Sort u, b, -2 in descending order.\nAnswer: b, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4\/5 - 14464*p**3\/5 - 17374016*p**2\/5 - 6929517056*p\/5 = 0. What is p?\nAnswer: -1276, -1064, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4 + 522*x**3 + 29518*x**2 + 28998*x = 0. What is x?\nAnswer: -179, -81, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*x - 7, 4*x - z = 1 + 22. Let k(c) = 10*c + 7. Is k(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 5*x + 914 + 27*x**2 - 914.\nAnswer: 27*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/5 or 376.7?\nAnswer: 376.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 39 - 221. Suppose 49*d - 285 - 595 = 39*d. Let x = d - u. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (477\/106*(-4)\/144*2)\/(12\/(-592))?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-48)\/(-20))*(-156)\/(-195)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/5 - 7974*m\/5 + 1127707\/5 = 0 for m.\nAnswer: -8113, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*a - 1 + 22, a - 5 = 0. Find the third derivative of 9 - 109*h**6 + 10*h**3 + 6 + 2*h**3 - 13*h**3 + h**d wrt h.\nAnswer: -13080*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 38. Put -0.4, g, -0.1, -3 in increasing order.\nAnswer: g, -3, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-5 - (-3 + 1)). What are the prime factors of 2\/(-3) - (-78)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2742.86 * 44.\nAnswer: -120685.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-29)*d\/(d\/d**(-1\/4)) assuming d is positive.\nAnswer: d**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 249 * -3.9719\nAnswer: -989.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -2\/3, -63\/4, 3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.492*7\nAnswer: 3.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 294 = 2*w + 5*c, w - 137 = 4*c. List the prime factors of w.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35757 - -35764. Let g(x) = -x**3 + x**2 + x + 1. Let i(d) = 3*d**3 + 2*d**2 + 4*d - 11. Let k(q) = -4*g(q) - i(q). What is k(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296853739 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-9 - (5 + -24)) - (-1 + 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0 - 2. Suppose t = k*g - 5*g + 39, 4*g = 3*t + 65. Calculate the least common multiple of 20 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499.0434 less than 53?\nAnswer: -446.0434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -131616.7.\nAnswer: -131616.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499, 2042, 4613, 8212, 12839, 18494?\nAnswer: 25177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 20 = 44. Is 21 a factor of 150 + t\/(-2) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4205 and 9.\nAnswer: 3.7845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/33 and 23\/92 + (-347)\/132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*b - 3 + 66, 0 = 5*b + 3*u - 84. Let m = 23 - b. What is the smallest common multiple of 12 and ((-6)\/3 + 3)*m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84725457 divided by -3.\nAnswer: -28241819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 41. Solve -2*q + b - 10 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 5*r**2 + 6*r - 5. Let l be w(4). Suppose 0 = c + l*c - 52. Suppose -3*q + 14 = 4*s - c, 5*q - 22 = s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.65519 in 4, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2)*g**11)\/(g**(-1\/4))**(-8\/13) assuming g is positive.\nAnswer: g**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 5.8. Suppose 4*c = 3*h + 40, 3*h - 5*c + 29 + 12 = 0. Let k be (-4)\/6 - 8\/h. Sort j, -1, k in descending order.\nAnswer: j, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/((-9)\/1485). Suppose l = 7*f - 8. Solve -f + 1 = 2*z, 0 = 2*v + 2*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + 140. Suppose -c = -3*u - 231, 13*u - 1174 = -h*c + 9*u. What is the remainder when c is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 + 6*c + 4 = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11122011210122 (base 3) to base 11\nAnswer: -1433167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88473981 + 1592941091\/18. Let u = j + -22738. Let a = 1\/2120 + -49823\/6360. Calculate the common denominator of a and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: How many minutes are there between 3:48 PM and 10:15 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -352 * 3482.6\nAnswer: -1225875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c = -60. What is the second derivative of -21*q - 10*q**5 + 18*q**5 - c*q**5 wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**3 - 4. Let s(g) be the third derivative of 0*g + 0 + 13\/120*g**6 + 0*g**4 + 0*g**5 + 3\/2*g**3 - g**2. Give -9*k(j) - 4*s(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 650584 and 19160?\nAnswer: 1558148680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:42 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*m - 4*c, 3*c + 0 - 90 = 5*m. Let k = m - -48. Suppose -k - 100 = -7*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 = 0, 2*r + u - 90 = -3*r. What is the least common multiple of r and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69778958 less than -1415.818?\nAnswer: -69780373.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170 divided by -390?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 14621179.\nAnswer: -14621155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 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: Let u(v) be the second derivative of -69 + 0*v**4 + 8*v**5 + 153\/2*v**2 + v + 0*v**3. Differentiate u(g) with respect to g.\nAnswer: 480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 170*j**2 + 14960*j + 4. Let u be m(-88). Suppose -10 - u*c - 2\/5*c**2 = 0. What is c?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5230408 - -2?\nAnswer: -5230406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from ijffietateif.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42\/11 or -6998?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6 + 0*y - 11*y - 3*y**2 - 3*y. Let z(g) = -g**2 - 5*g - 2. Let k(h) = h**3 + 139*h**2 + 137*h + 59090. Let t be k(-141). What is t*z(w) - 4*n(w)?\nAnswer: w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 9*x - 2. Let i be n(10). Let j = i + 17. Sort -5, 1, j in descending order.\nAnswer: j, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 5*u + 4*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23019*w**5 - 2*w**2 + 5*w - 2040 wrt w?\nAnswer: -1381140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 8*d - 8. Calculate p(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7315369 rounded to 1 decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2 = -6, -d - 9 = -4*f. What is the remainder when 22 is divided by 5\/f*(-48)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*x + 4*t, -2*x + 3*t = -0*x - 2. Let h(w) = -w**2 + 2*w + 6. Let j be h(4). Which is the third biggest value? (a) x (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 11 = 17. Suppose 4*u - 24 = -2*y, y + 0 - x = -u. Let i(h) = -h + 8. Determine i(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5700000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 2*b**2 + 9*b. Let o be l(4). Suppose -2335 = -o*y + 421. Calculate the highest common factor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562*w = -633*w + 426. Let k(c) be the third derivative of 0*c + 0*c**5 + 27*c**2 - 5\/24*c**4 + 0 + 1\/24*c**w + 0*c**3. Factor k(y).\nAnswer: 5*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*u**4 - 2*u**2 - 116 wrt u?\nAnswer: 100*u**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018 greater than 4018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Let w = 0 - -5. What is the biggest value in w, -2, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(51)*6 - sqrt(51))\/(sqrt(147)*1).\nAnswer: -13*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 7*g + 13. Let u(b) = b**2 - 7*b + 12. Let f(o) = 4*q(o) - 6*u(o). Let c be f(-9). Factor 2*s + 6*s**3 + c - 48*s + 20*s**2 + 4.\nAnswer: 2*(s - 1)*(s + 5)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u**3 - 9*u**2 + 6*u = 0 for u.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 29*a**2 + 10*a - 14. Let h(v) = -6*v**2 - v + 2. Let s(g) = 5*h(g) + t(g). Let o be 10\/(-60) - (-62)\/12. Give s(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 1028, 1530, 2028, 2522?\nAnswer: 3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5622.337 days?\nAnswer: 803.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((33\/(-2))\/((-930)\/(-620))).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -351?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164276, 164278, 164280, 164282, 164284?\nAnswer: 164286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 56, 1, 2, 4.\nAnswer: 1, 2, 4, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 804724 (base 13) to base 10\nAnswer: 2980345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 3591, -0.3, 0.5, 4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 35, -158, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 9*z)*(-z**2 + z**2 - 3*z**2) - 82 - 2*z**3 + 82 + 2*z**3 - 4*z + 4*z.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/4915?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + 2*n + 1 - 2 - 4*n + (-3 + 2 + 2)*(-n**2 - 3*n**4 + n**2).\nAnswer: -6*n**4 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -417 - -389. Which is greater: s or 22\/7?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*v - 108, 0 = 6*i - 2*i + 4*v + 432. Let t = 151 + i. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*x + 14*x + 384. Calculate the remainder when x is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 2. Suppose -9*h = -5*h - 16. Give u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 68814532.869 and -1.\nAnswer: 68814531.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*f**4 - 476*f**2 - 14*f - 1496?\nAnswer: 600*f**2 - 952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 10*a**2 + 95*a + 18. Let i be q(16). Solve 3*d - 14 = -3*f - 20, i*f = 3*d + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e87a2 - 1?\nAnswer: e87a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 3*k + 2, 3 = 3*u. Let o be (-4)\/(-14) + 10\/14. Which is the closest to -2? (a) 0.1 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of ((2 - 13) + 9)\/((-2)\/11616 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1656022.\nAnswer: 2, 828011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4573856 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 8*a = 69, 17 = -101*o + 100*o - 4*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/12 and -3\/842.\nAnswer: 5052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i = 0. Suppose i = 2*c + 2*c - u - 10, 0 = 2*c - 3*u - 10. Find the second derivative of -3*m**2 + m + 0*m**2 + 6*m**c wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-1)*4\/24?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1390 and 4488310.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 8*v**2 - 6*v - 7. Let k be a(7). Suppose k = 4*z + 3*w - 17 - 0, -5*z + 2*w = -27. Solve 2*c - z = h, -h = -0*h + 5*c - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5506 - 5508. What is the closest to 6 in -0.1, 0.1, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42 - 14*x**3 + 2*x**2 - 79 - 9*x + 43 wrt x.\nAnswer: -84*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 + 703*v**4 + 11847*v**3 + 25621*v**2 + 18538*v + 4056 = 0. Calculate v.\nAnswer: -13, -1, -2\/5, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1936, -4887, -9772, -16585, -25320, -35971?\n\"Answer: y**3 - 973*y**2 - 39*y - 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145\/102 - 10\/17. Let b(h) be the second derivative of 0*h**2 + 0*h**4 + 5*h - k*h**3 - 1\/20*h**5 + 0. What is the second derivative of b(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 450 = -0*y. Suppose y = -6*h + 504. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 74. Let a(r) = -16*r + 40. Let g be a(v). Suppose -x - 24 = 4*s - g, 4*x + 5*s = 810. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -644 - -1920?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 805 = w - 556. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**4 - 8*u**3\/3 - 2*u**2 + 212. Factor a(f).\nAnswer: -4*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141*r**2 + 5897*r**5 - 5850*r**5 + 32*r**2 wrt r.\nAnswer: 2820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 - 155 - -77 - -53?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 25287\nAnswer: -14\/25287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-five halves of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*q - 19. Solve -6*l + 3 = 4*p - l, p = 4*l - q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 5*x**2 + 4*x + 5. Let z(o) = o**2 - 3*o - 5. Let w be z(5). List the prime factors of m(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 62. Suppose l*w - 7 + 1 = 0. Suppose -3*b - 5*q - w = -0*q, -5*b - 3*q + 18 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 - -63. Suppose z*y + 18 + 7 = 0. Let n(t) = 2*t + 6. Give n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)*5)\/sqrt(2) + (5 + sqrt(52) - sqrt(1573)*1)**2.\nAnswer: -70*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 - 3*q + 2. Let g(p) = 4*p**2 + 3*p - 2. Let w(r) = r**2 + 3*r - 76. Let x be w(7). Calculate x*g(c) - 5*u(c).\nAnswer: c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*o + 0 + 1\/3*o**2.\nAnswer: o*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**2 + 32*n + 239. Determine l(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/41?\nAnswer: 7\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -15. Is 88\/(-110)*(r + -268)\/1 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1351953875 + -7626?\nAnswer: -1351961501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 148\/3, -0.1, -56, -12, -1 in decreasing order.\nAnswer: 148\/3, 15, -0.1, -1, -12, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + (1 - 2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-429)\/27 + 1\/(-9). Let x = k - -8. Let v(l) = -3*l**2 + 3*l - 5. Let o(s) = -9*s**2 + 8*s - 14. Calculate x*v(h) + 3*o(h).\nAnswer: -3*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/40)\/(6 - (-490)\/(-80)). Is -76 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/5 (c) 2\/149999 (d) 4 (e) 0 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Suppose -m = -3*u - l*m - 9, -5*u + 1 = m. Calculate the remainder when 0 + u - -2 - -57 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130124.\nAnswer: 2, 32531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (98\/(-28))\/(2\/(-4)). Let v(s) = 6*s**2 + 2*s + o*s - 8*s. Suppose 2*m + m = 18. Let z(k) = 5*k**2 + k. Give m*v(r) - 7*z(r).\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 17. Let q be h(3). Calculate the highest common divisor of q and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 11*d - 117. Suppose d*k + 13*k = 5304. Calculate the greatest common factor of k and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/43658 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 20, 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-672556\nAnswer: -201766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2994\/15 + 14\/35. What is the highest common factor of y and 10600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6. Let z be h\/7 + (-80496)\/84. Is (3 + -4)\/(2\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5 + 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)\/v*((v*v*v\/v**(1\/3)*v)\/v)\/v)\/(v**(2\/3)*v)**(-1\/11) assuming v is positive.\nAnswer: v**(38\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, n: 1, x: 1, y: 1, h: 2, p: 8}. What is prob of sequence yhf?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4302 is divided by 2025?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -0.3 (b) -3 (c) -0.08 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:03 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 23312312?\nAnswer: 23312320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*s - 347*s = -513. Solve -3*v - n + 15 = s, -2*n = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374859303.\nAnswer: 3, 7, 13, 19, 72269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4013.\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226755 is divided by 2119?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*w - 32, -45*w - 67 = -50*w + 4*l. Let b(c) = 2*c**3 + 2*c**2 - 1. Calculate the remainder when b(2) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 22*t**2 + 11*t + 40. Let v be g(-3). What is v rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/377 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -18*d - 15. Let i be -2 + (-10)\/(4 + -2). Is k(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-1036) - (-646)\/(-18088)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -37*w + 6. Let k(z) be the third derivative of -z**5\/20 - 315*z**2 + 2*z - 8. Determine k(m(h)).\nAnswer: -4107*h**2 + 1332*h - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3483 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.54 - 0.011728?\nAnswer: -118.551728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(-88)*(-2)\/(-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*f**2 + 37*f**2 + 40*f**4 - 91*f**4 wrt f.\nAnswer: -1224*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*y - 11462 = -37720 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/((-1)\/9). Let f(h) = -9 + p*h - 1 - 2*h + 3. Let w be f(12). Calculate the highest common factor of w and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/120 - f**5\/30 + 19*f**2. Give h(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 4*k - 2. Let p be b(-5). Let o(n) = 3 - 4*n - p. Let v(s) be the third derivative of s**4\/24 - 7*s**2. Determine o(v(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4122489728?\nAnswer: 2, 7, 4600993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v**2 - 15*v + 15*v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 395 in 5, 1, -1, 0.3, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/3 + 23216*i**4 - 162523*i**3 + 1114468*i**2\/3 - 278620*i = 0. What is i?\nAnswer: -69655, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 33 = 3*l, 0 = -4*l + 40162*t - 40151*t + 46 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in -5, -7, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.601 - -3.601. Let z = 0.74 - -0.06. Let x = 0.5 - z. What is the closest to 1 in -6, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 158*f + 1583. Determine k(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(15\/(-9)) + -5 + 17. Let j be 33*5\/x - 6. Solve j*h = -3 + 28 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 3813772963.\nAnswer: -3813772949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2053386\/(-105))\/(-6)*(-1 - -2). Let m = i - 3244. Let u = m + -76\/5. Put u, -3\/7, 1 in decreasing order.\nAnswer: 1, u, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -221, 2, -760 in descending order.\nAnswer: 2, 0, -4, -221, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzznzzhzztnnzz. Give prob of picking 1 n, 1 h, and 2 z.\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-4)\/2) + 4. Let s(j) = 2*j**2 - 3*j - 3. Let o be s(a). Suppose -q - o = -10. Calculate the least common multiple of q and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 6 - 9. Let q = 1 - -1. Suppose -q = 2*k - f - i, -f = 4*k - 17. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307, 1242, 2801, 4984, 7791, 11222?\nAnswer: 15277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 7*j**2 - 9*j - 8. Let v be f(-8). Suppose 4*i - 17 - 19 = v. Let h be 1 - (-3 + 33\/i). Which is smaller: -10 or h?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-1\/4))\/y)\/y**(-1\/4))\/(y\/y**(-1))**39)\/((y**1)**(-30))**37 assuming y is positive.\nAnswer: y**(2065\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*u, 3*u + 0*u + 3*l = 0. Let j = 12 + u. Calculate the lowest common multiple of 3 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/7)*v)\/v)**45)**34 assuming v is positive.\nAnswer: v**(-3060\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 9*t - 3. Let q be i(-8). Suppose 2*s - 14 = 2*h, q*h + 2*s = -s - 11. Let r be 1\/2 - 679\/582. What is the third smallest value in h, -3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20, 2\/147 in increasing order.\nAnswer: -20, 2\/147, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12*b - 504. Determine n(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**6 + 3179*m**5 - m**4 - m**2 - 2346*m + 1?\nAnswer: 480*m**3 + 190740*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28957 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 + 2*p**5\/5 - p**4\/12 - 25*p**3\/6 + 5049*p**2. Calculate v(24).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.9457 or 2?\nAnswer: -5.9457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 0 + 0 + (0*q + q + q)*(-3 + 1 + 4) + 8 - 8 + 2*q + (0 - 29 - 16)*(5*q - 2*q + 3 + 0*q).\nAnswer: -128*q - 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.989 + -10. Round a to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -526, -522, -516, -508, -498, -486?\n\"Answer: m**2 + m - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17699, -35398, -53097, -70796, -88495?\nAnswer: -106194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2423, -9565, -21389, -37895?\n\"Answer: -2341*q**2 - 119*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2600567?\nAnswer: 2600567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -0*w - 4*w - 4, 2*w + 5*g = -11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*u - 737*u - 29575 = 2098*u + 116759 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let o(c) = -2*c. Let u(g) = -9*f(g) - 4*o(g). Let n(s) be the first derivative of 0*s**3 + s**3 + 6 + 3*s**3 - 5*s**3. Calculate n(u(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 4, b: 4, r: 2, e: 3}. What is prob of sequence bfr?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872910 rounded to the nearest ten thousand?\nAnswer: 1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -608*b**2*r**4 - 5*b**2*r**2 - b**2*r + 48*b**2 + b*r + 2*r wrt r?\nAnswer: -7296*b**2*r**2 - 10*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.16362 (c) 13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 13*i**2 - 6*i - 18. What is z(6)?\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 9:24 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -933.141 + 0.178652?\nAnswer: -932.962348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368676 and 63?\nAnswer: 368676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32 and -567?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 35*k + 45. Let b = -66 - -173. Let q = 127 - b. Is z(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22602 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: Is 995 less than 154089\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 168358 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyyiyyiyiqyqqyqiyyy. What is prob of sequence yyy?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.2 (b) -0.4 (c) 0.1 (d) 26184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6)*1)*3.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-248)\/(-12) + 2\/(-3). Let i = x + -2. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 3) + (30 - -10) + -45?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**5\/20 + r**4\/2 - 5*r**3\/3 - 9*r**2\/2 - 1658*r. Give i(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12957 and 63?\nAnswer: 38871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 181 = 5*w, -2*l = -3*w - l + 102. Suppose 135 = 3*m - 4*d + 34, 0 = -3*d + 3. Calculate the highest common divisor of w and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10469.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p**2. Let d(r) = -88*r**2 + 97*r**2 + 13 - 11. What is h(d(m))?\nAnswer: 891*m**4 + 396*m**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 71122*j**2 - 10*j - 44. Let d(u) = -71125*u**2 + 12*u + 44. Let m(f) = -3*d(f) - 4*y(f). Let k be m(6). What is k rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 10) in base 15?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -311 + 231. What is the common denominator of 8\/33 and (4\/30)\/(9 + 714\/b)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 r when three letters picked without replacement from {t: 1, v: 2, f: 1, r: 3, n: 1, o: 5}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose -2*o - 310*b = -307*b - 14, -4*o - 5*b + 30 = 0. Solve -3*x + x + 19 = j*c, -x + 5*c = o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1305665 (base 10) to base 9\nAnswer: -2410028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.335 to zero dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 3*d + 7*d. Let h(f) = -f**3 - 6*f**2 - f + 2. Let m be h(d). Let u be m*(-2)\/(-4)*-1. What is u rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1307 - 2571 - 7327*p - 1225 + 7922*p wrt p.\nAnswer: 595","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + q**2. Let u(m) = -106*m**2 + 1042*m - 336. Let g(p) = 6*f(p) + u(p). Suppose g(o) = 0. Calculate o.\nAnswer: -24, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143230530.\nAnswer: 2, 3, 5, 4774351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -18\/23 (c) -11196.4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 56, 94, 170, 284?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11485*m**4 + 231*m**3 - 19022371*m**2 wrt m.\nAnswer: 275640*m + 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -289230 divided by 5?\nAnswer: -57846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 33495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 3*v. Let z be d(-3). Suppose -g + z = -6. Suppose 6*s = 2*s + 16. What is the least common multiple of s and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:41 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 3*v - 17. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41514 divided by -34.\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r + y, r + 0*r = -3*y + 4. Suppose 0 = 4*v + 2*o - 14, -5*o - r - 4 = 0. Suppose 2*s + 2 = -5*q + 5, -q - v = 5*s. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21940\/2973 - 46\/991. Find m such that -m**3 - z*m - 8\/3 - 17\/3*m**2 = 0.\nAnswer: -4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12231 + 1?\nAnswer: -12230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from klllkllkklzllkk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 530217114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 8*j**2 - 6*j + 6. Let z(u) = 18*u - 115. Let c be z(6). Give d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10948 by 4.\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -617, 4, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 619923446 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 w, and 1 k when four letters picked without replacement from {w: 1, k: 5, x: 3, r: 4, g: 1}?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/24*(-3)\/(-13))\/((-336)\/84)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 8*t**2 - 5*t + 2. Let h(r) = r**3 - 5*r**2 + 5*r + 3. Let m be h(4). Let c = m - 0. Let y be n(c). What is y rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8922800 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54311648 divided by 15571.\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:05 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3\/8 - 63*h**2\/8 + 285*h\/8 - 225\/8 = 0. What is h?\nAnswer: 1, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11425917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 12*j**5\/35 + 19*j**4\/7 - 136*j**3\/7 - 1368*j**2\/7 - 864*j\/7 - 177. Find f, given that p(f) = 0.\nAnswer: -6, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by -30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/15)\/(-58*(-61)\/(-212280)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bddx. Give prob of sequence ddx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 2*g**3 + 2*g**2 - 4\/3*g**6 - 29 + 1\/2*g**4 + 0*g**5 + 0*g. Find the third derivative of i(u) wrt u.\nAnswer: -480*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222121 - 10?\nAnswer: -11222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {m: 2, n: 2, p: 8}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1759 (base 10) to base 14\nAnswer: -8d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1809 + -1809. Let p(a) = -a**2 + 3*a + 7. Let y be p(6). Let g be (-6)\/(-9) + y\/18. Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(297)*1 - sqrt(297) - sqrt(297))\/sqrt(9))\/(sqrt(66)\/(-1*sqrt(6))) - (5*-6*sqrt(147)*4)**2.\nAnswer: -2116800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 = -46. Let a = b - -18. What is the second derivative of -3*t**4 - 2*t**4 + 5*t + t**4 + 3*t**a wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-22)\/14 + 3. Suppose -3*r - 3 = -6*r. Let x be (-5 - 126\/(-24))\/r. Which is the nearest to x? (a) f (b) -2\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0 + 73*a**2 + 0*a - 5\/6*a**3 - 13\/4*a**4. Differentiate j(x) wrt x.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -5, 27, 97, 217, 399, 655?\n\"Answer: 2*p**3 + p**2 - 11*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*m - 122, -3*g - 5 = m - 47. Suppose m*f = 45*f - 12. Solve 0*h = h + f, -x = 4*h + 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627 a factor of 169974781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*b + 191 - 36. Suppose a - 176500 = 3*m, -694177 = -3*a + b*m - 164677. Round a to the nearest 1000.\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 39 = 5*j + 3*w, w + 18 = 4*j. Calculate the remainder when 13 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 129419, 129329, 129239, 129149, 129059, 128969?\n\"Answer: -90*a + 129509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = k - 3*q - 796, 4*k + 3*q - 4238 = 0. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384483133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 12:45 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**8\/14 - n**6\/30 - 13*n**5\/20 - 5491*n**4\/12 - 2*n + 615. What is the third derivative of m(s) wrt s?\nAnswer: -480*s**3 - 24*s - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71768975 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56.27 - 32.27. What is the closest to -0.07 in -4, 0.1, o, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/3 - 8857*c**2\/3 - 49584804*c + 24793140 = 0. What is c?\nAnswer: -6690, 1\/2, 11118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.695*0.098.\nAnswer: 0.26411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 458*p**2. Let y(w) = -534*w**2 + 2*w. Determine y(z(h)).\nAnswer: -112013976*h**4 + 916*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 - 16404*r**2 - 98548*r - 82140 = 0. What is r?\nAnswer: -5, -1, 4107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, n: 2, l: 3, x: 2, p: 4}. What is prob of picking 1 n and 2 l?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*n + 6, -n = -3*j + 8 + 1. Let u = 7 - j. Solve u*d - 23 - 2 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmgmmgmfmtmggtdm. Give prob of sequence mmf.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttqbqttffmqvt. Give prob of picking 2 t and 1 m.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 17821*x**3 - x**2 + 2*x - 1. Let o be c(-6). Suppose -j = -o - 7475318. Round j to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/64*-2)\/((-749935)\/(-4572) + -164)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543487557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19433564 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2472 + 5594. Let k = 56219\/18 - t. Let s = k + -34\/9. Find the common denominator of s and 1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 49608?\nAnswer: 49608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 525318 to the power of 1\/2, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*g*q**2 + 30*g*q*r + q**2*r - 2*q**2 + 6*q with respect to r.\nAnswer: 30*g*q + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 324 + -10103001?\nAnswer: -10102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24351 + 48925. List the prime factors of q.\nAnswer: 2, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o - 47*o - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1156 - 96. Suppose -i - 9*i = w. Let j = -73 - i. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Let n(p) = p - 7. Let b(m) = -4*k(m) - n(m). Let w be 15*(-1)\/(-3)*-1. What is b(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -32 + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/21*268\/67.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)\/(u*u\/(u\/(u**2\/u))*u))\/(u*u**0)**(-6\/11)*((u*u*u**(2\/21)\/u)\/u**(-4))**23 assuming u is positive.\nAnswer: u**(53701\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2031, 4147, 6277, 8427, 10603, 12811?\nAnswer: 15057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m. Let o(b) = 209*b**2. What is s(o(y))?\nAnswer: 627*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20488 is divided by 660.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by 420.\nAnswer: 43\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/30 and 46\/985.\nAnswer: 5910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*d + 39519 = 39645, 0 = 5*t - 3*d + 152 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6124, 6122, 6120?\nAnswer: 6118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1727.\nAnswer: 6908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17126 + -3103?\nAnswer: -20229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.931 plus -1.7?\nAnswer: -2.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 490697 and 490697 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjl when three letters picked without replacement from {z: 1, p: 1, l: 9, j: 8}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 8*q - 7 = 5 - 1, -15*q = -3*q - 0*q + 36 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55535 = -4*j - 6195. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/30*(2 + -7). Suppose -j - 6 + 0 = -2*d, 5*j = -4*d + 26. What is the second derivative of -d*p + i*p - p + 4*p**5 wrt p?\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.0031015?\nAnswer: 0.0155075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33133 - 33158.939. Let c = 0.061 - b. Let a = -25.9987 + c. What is a rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 3*c**2 + 3*c + 3. Let t(q) = 2*q**3 + 7*q**2 + 7*q + 7. Let f be (-1)\/(1\/(-18)) + -61 + 57. Give f*p(m) - 6*t(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 108776639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 8*d**2)*(d + 3*d - 2*d) + 3*d**3 - d**3 + 2*d**2 + 3*d**3.\nAnswer: -11*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2087*u + 4401. What is the tens digit of x(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 15. Which is the closest to 0? (a) -3\/11 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3 - 78.7. Let d = x - -86.31. What is d rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i*j*m - 18*i*j - 16*i + 2*j*m + 2*j - 4*m + 9 wrt j?\nAnswer: -3*i*m - 18*i + 2*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6704 divided by 4?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 + -4 + (1 - -1). Let s = 9 - k. Let f be (-33 - (-1 - s))*-5. Calculate the greatest common factor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1651084, 1651072, 1651060, 1651048, 1651036?\nAnswer: 1651024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -a1a22a?\nAnswer: -a1a230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -11 - (16 - -4 - -8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3777 divided by -10589?\nAnswer: -3777\/10589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 294.99+0.4\nAnswer: 295.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 173*c**3 - 17 - 490*c**3.\nAnswer: -317*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -11 + -1 + -13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1087.3 + 1134. Let f = 47 - j. Let z = 24.5 + -25. What is the nearest to -2\/11 in z, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, -4750, 2, -49, 0.3, 0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 35*k + 40. Let c be a(-20). What is the greatest common factor of c and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)*u*u**(-3)\/u*u)**(8\/7)*((u*u*u**(-1\/3)*u)\/(u**5\/u))\/(u*u*u**(-1\/4)*u*u*u*u\/(u**6*u)) assuming u is positive.\nAnswer: u**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(432) + -1)**2 - sqrt(432))*-3 - -5*(1*(sqrt(432) + -2))**2) + 1.\nAnswer: -492*sqrt(3) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.5 (c) -1.7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lttppkkpklkuu. What is prob of picking 1 u, 1 p, and 2 k?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 17. Determine o(-44).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1821 by -607.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ycicaafeiffff.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/36722 and 139\/1032.\nAnswer: 440664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 - (-9 + 5 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -9*j**2 - 2*j - 4. Let c be h(-3). Let u = c - -118. Suppose 4*p - 875 = -u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 26\/(-4) + 2 + 3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38305353\/1150 + -33309. Calculate the common denominator of m and -1\/70.\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637*b**2 + 323*b**2 + 314*b**2 - 34*b**3 + 2*b**3.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gffofglfm. Give prob of sequence gm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 4 + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.044656 + -0.0153392. Let r = -0.06 - k. What is r rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 628?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 12. What is the remainder when (-1)\/(-2)*120\/3 is divided by h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggqg when four letters picked without replacement from vvvvvggggq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**4 - 56*z**3 + 432*z**2 + 6776*z + 6292 = 0.\nAnswer: -13, -11, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14798 not equal to -14798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/6)\/((-4)\/414). Suppose -12*s + 10*s = -g. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/2*-1*(-5)\/(-5). Let i(q) = -q**3 + 8*q**2 - 7*q + 6. Let y be i(7). Let h be (-3)\/y - (-1)\/(-2). Are h and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -128270, -128304, -128336, -128366, -128394?\n\"Answer: t**2 - 37*t - 128234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4502 + -241?\nAnswer: -5143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -449*n**2 - 754*n wrt n.\nAnswer: -898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1594, -3066, -7056, -14824, -27630, -46734, -73396, -108876?\n\"Answer: -210*h**3 + h**2 - 5*h - 1380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:41 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782080?\nAnswer: 2, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/1540*11)\/4. Let n(r) be the third derivative of 0*r + b*r**6 + 0*r**5 - 5*r**2 + 0*r**3 + 0*r**4 + 0. Factor n(j).\nAnswer: 3*j**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 + 156*l. Let t be o(-26). Suppose t*y - 4*y - 2*g = -1918, 3*y - 5*g - 1445 = 0. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5969, -3, -140 in decreasing order.\nAnswer: -3, -140, -5969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15713 - -15713. Which is smaller: 25\/743 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 16 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 5*f**2 + 4. Let b be (3 - -1)*-2*3\/(-12). Let i(m) = 11 - 23 - 3*m**b - m**3 + 14. Give 11*i(u) - 6*y(u).\nAnswer: u**3 - 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 56829194 from -2249.\nAnswer: -56831443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*l + 7 - 15)*(-3 + l + 3).\nAnswer: 2*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 12*v**2 + 8*v + 13. Let w be h(13). Let z = 91 + w. Suppose 2*u - z = -u. Solve 0 = 2*s + 3*q - 23, -s - s - q = -u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 988 = -4*l. Calculate the highest common divisor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674252346.\nAnswer: 2, 3, 112375391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from lgvgggkkqqglv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1120d + -2?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 349 - 351. Which is the closest to 0.2? (a) t (b) 2\/9 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068 take away -9613.4?\nAnswer: 9613.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7\/(j\/(j\/(j*j**(-2\/25)*j)*j)))\/(j*j**(-1))**(-44) assuming j is positive.\nAnswer: j**(152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/3 - 593*b**2\/3 - 196948*b\/3 + 197540\/3 = 0. Calculate b.\nAnswer: -238, 1, 830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-4)*(-49 - -5). Let z(k) = 48*k**2 - 2*k**2 + 72*k**2 + v*k**2. Let u(q) = -q**2. Determine z(u(p)).\nAnswer: 151*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 26*h + 2704. Let w(c) = 8. Let k(l) = 6*b(l) - 2028*w(l). Let u(f) = 6*f. Calculate u(k(p)).\nAnswer: 936*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 30*o - 32*o + 230 = 0, 0 = -3*o + 9. Calculate the highest common factor of f and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 6*a**2 + 9*a + 7. Let w be z(-4). Let p = w - -1. Suppose -2*g - 136 = -p*g. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/2 - 42\/(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 1. Let o(i) = -10*i - 183. Let q be o(-18). Let y(h) = 3*h**3 - 2*h + 2. Give q*y(d) + 6*f(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40490559 to the nearest integer?\nAnswer: 6363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - -53 - (-1 - 17) - (0 - 7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:33 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1134 or 1131?\nAnswer: 1134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 8*t - 5. Let r be (50\/40)\/((-1)\/12). Let b = r + 23. Let x be s(b). What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*h = 5*m + 6, 3*m + h + 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v - 3. Let c be s(-2). Suppose 11 = -c*j + 21. Solve -2*n + 2*x = 12, -j*x + 15 = -4*n - x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 17. Let t be 6\/(-15) + 0\/w. What is the nearest to -1 in -4\/3, t, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6 - (-1417)\/1308)\/(1050\/(-56))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = 3*n + 4*t, -2*n + 4 = -t. Put 4, -99, n in decreasing order.\nAnswer: 4, n, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 28*l - 38*l. Factor -6\/7*q - 2\/7*q**3 - 2\/7 - 6\/7*q**l.\nAnswer: -2*(q + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1990 + 1996. Solve w*p + 69 = 33 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idovgdogavogvvv. What is prob of sequence ggdi?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 25523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 98 = -4*a, 5*y + 106 - 48 = -2*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 7*f**2 + f + 21. List the prime factors of o(8).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 105 = 5*b, -86 = 63*t - 67*t - 2*b. Solve 0 = -t*o + 15*o + 13*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 15*l**2 + 17*l - 1. Let u be f(14). Let w = 60 - u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387931 or 3\/35?\nAnswer: -387931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560*c = 1545*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238\/68*(-10400)\/780*33\/14?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - -2*sqrt(150)*-2)\/((2*sqrt(21))\/sqrt(7)))\/(-2*(3*((sqrt(490) - -1*sqrt(490) - sqrt(490)) + sqrt(490) - sqrt(490)) - sqrt(490))).\nAnswer: 3*sqrt(5)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 339064351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:15 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -644 (b) -4 (c) -1014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 1 - sqrt(396) - (sqrt(176) + 4 - sqrt(11))) + 2)**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15340252, -30680506, -46020760, -61361014?\nAnswer: -76701268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4 - 130\/(-20). Suppose 3*q = u*q + 4. Is q\/8*(-3 - 121) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 910677842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22112112 (base 3) to base 14\nAnswer: 23a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2219404000 - -5.\nAnswer: -2219403995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6. Let i = -7.1 - -4.1. Let w = i - 1. What is the closest to -0.2 in w, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 7. Let i = h - -12.00000023. What is i rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**3\/6 - f**2\/2 - 3*f + 64. Let w = -3 - 3. Let v(s) = -7*s - 6. What is w*d(l) + v(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**3\/3 - 15*o**2\/2 + 2. Suppose -w - 15 = -0*z - z, z + 5*w = 27. What is the units digit of v(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -44. Let f(r) = 1 - 4*r + 4*r**2 + w - r**3 + 20*r + 7*r**2. Let c be f(12). What is the highest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 - 703. Let z = a + 532.321. Let h = z - 0.13. Round h to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 42. Let m = y + 68. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x + 29 - 140. Solve 59 - 22 = x*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 16*r**2 + 30*r + 31. Let z be x(-14). Suppose -2*w = 2*w - 12. What is the first derivative of -1 + z*n - 6*n + w - 1 wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -103 (c) 5 (d) -5 (e) -0.094\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**(2\/27)))*y*y**(-4))\/(y**(-3\/4))**(-21) assuming y is positive.\nAnswer: y**(-1925\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2 - 3*c + 2. Let j be q(2). Let w = 29 + j. What is the units digit of (-46)\/(-8) + w\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-2\/7)*(q**6\/q)\/((q**0*q)\/q)*((q\/(q**(2\/13)*q)*q)\/(q\/(q\/(q*q**(1\/2)))))\/(q**(-2\/5))**(4\/3) assuming q is positive.\nAnswer: q**(14101\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-8)\/(-1) - -2. Let v(c) be the third derivative of c**5\/20 - 5*c**4\/24 - 5*c**3\/6 + 3*c**2. Let m(k) = -2*k**2 + 4*k + 4. What is r*m(l) - 4*v(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -97. Which is the closest to 20\/11? (a) 1 (b) -2 (c) 0.2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 11 + 22 - 4*m)*(4*m + 0*m + 0*m) to q*m**2 + w*m + v and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 29*u - 33*u = -818992, 3*b - 2*u - 819004 = 0. Round b to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 411 - 243. Suppose 0 = 6*n - 0*n - b. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15*b*b\/(b\/(b**(2\/9)*b)))\/(b**3)**(-6\/13) assuming b is positive.\nAnswer: b**(2177\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 159*g - 105*g. Solve 13 = -4*q + g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1998 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5046248*f*w**2 - 4*w**2 - 574863*w wrt f?\nAnswer: 5046248*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -298, -774, -1572, -2770?\nAnswer: -4446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(1 - 5 + 2)*(151*h**3 - 52*h + 52*h).\nAnswer: -604*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 2\/(-6)*(9 + -5). Which is the closest to 2\/9? (a) 103 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-24)*63\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.7427286 rounded to three dps?\nAnswer: 40.743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -423334 * 1.9\nAnswer: -804334.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21712 and 717204?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, z: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r - 150. Let c be -1 - 10*-1 - 2. Let x(o) = 7*o**2 - 11*o + 4. Let k be x(c). Calculate the highest common factor of k and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.8233 and 0.1.\nAnswer: -2.98233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -112*h + 159488. Is h at most as big as 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -3a?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-35))\/((-6)\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let j be u(-3). Suppose j*b = b - 10. Are b and -6\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 - 485 = -3*j. Solve -2*n = -2*q + j, -3*q + 6 = n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 23512?\nAnswer: 23512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (-2*sqrt(243) + 2 + (sqrt(243) - -2*sqrt(243))*1)*-6))**2.\nAnswer: 62208*sqrt(3) + 324144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 286*o. Let i(g) = -6*g**2. Calculate n(i(a)).\nAnswer: -1716*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -23. Suppose 0 = 4*j + 4, -3*u + a*j + 3 = -5. Let -4\/3*x**4 + u*x**5 - 4\/3 + 2*x + 8\/3*x**2 - 4*x**3 = 0. What is x?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1094 + -852. Is 121 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 153 and -8.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 26*q**2. Let a(n) = -2*n - 279685. Give a(r(i)).\nAnswer: -52*i**2 - 279685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = p + 68. What is the second derivative of 4 + 12*z**2 + 2*z**5 - 3 - 4*z**2 + p*z + 10*z wrt z?\nAnswer: 40*z**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:18 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**6 - 228*b**5 - 2*b**3 + 5*b**2 - 28*b - 26.\nAnswer: -720*b**3 - 13680*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 5*t + 2*w, 2*t + 3*w - 29 = -82. Let y be (-17)\/t + (-69)\/(-2). Let j = 59 - y. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -326\/5 - -65. What is the closest to -0.1 in -51, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 142\/(48\/(-320)*(-2)\/(-6)). What is k rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 0.3, -2\/133, 22\/5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/l**10)\/((l\/l**(-3\/4)*l)\/l**(4\/5)) assuming l is positive.\nAnswer: l**(-119\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -278336*c - 36. Let s be j(-6). Suppose -k - 5*x + 1670020 = 0, -2*x = -k + 3*x + s. What is k rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123586, 123522, 123360, 123052, 122550, 121806?\nAnswer: 120772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r - 17. Let j(k) = k - 5. Let h(g) = -c(g) + 4*j(g). Let a(b) = 2*b + 3. What is 3*a(s) + 4*h(s)?\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - 0.26. Let y(m) = 2*m + 6. Let g be y(-6). Let b = -7 - g. Sort -0.4, x, b in ascending order.\nAnswer: b, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -186, -182, -168, -138, -86?\n\"Answer: t**3 - t**2 - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -199, -787, -1769, -3145?\n\"Answer: -197*p**2 + 3*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1083 - 1082.8052. Let f = w - 0.19. What is f rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*z - 3155*z**2 - 3168*z**2 - 1183*z + 595*z + 6313*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -189900077, -189900072, -189900067?\n\"Answer: 5*c - 189900082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/18 - (-22)\/(-99). Suppose -b*r - 110 = 42. Let h = r + 45. Solve -4*t + h = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 236 - -1?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(342\/12)*12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 8*f**2 + 276*f - 36. Give v(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7002 and 24282.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517779 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30524 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-21)*3948\/(-7144)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 12. Let q be 0\/(-2)*1\/(-2 + 0). Let t be j(q). Determine z so that -12 + 4*z**2 - 4 + 0*z**2 + t*z = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2, 1, 7\/2 in descending order.\nAnswer: 7\/2, 2, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 66906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 60*h**2 - 9*h + 1879. Let u(f) = -180*f**2 + 14*f - 5636. Let q(j) = 3*u(j) + 10*w(j). Find the first derivative of q(g) wrt g.\nAnswer: 120*g - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. Let o = -5 - u. Let h be (o\/(-6))\/((-2)\/(-39)). Calculate the greatest common factor of 91 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -680, -1231, -1742, -2213, -2644, -3035, -3386?\n\"Answer: 20*k**2 - 611*k - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -154, -234, -314, -394, -474?\n\"Answer: -80*t - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164005667.\nAnswer: 7, 1979, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 1:09 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.8 and -0.07.\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**6\/480 + 17*b**5\/120 + 289*b**4\/96 + 70*b**2. Factor c(j).\nAnswer: j*(j + 17)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -187, -184, -177, -166, -151?\n\"Answer: 2*w**2 - 3*w - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20893a (base 15) in base 2?\nAnswer: 101111001111000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by -2216574.\nAnswer: -9\/123143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/((-8)\/(-636)). Suppose 0 = -2*a - 3*g - h, 4*a + 3*g = -96 - 19. Let z = a - -132. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4883 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(57) + (sqrt(57) - sqrt(399)\/(sqrt(7) - sqrt(63))))\/(-2*sqrt(48)))**2.\nAnswer: -5*sqrt(19)\/4 + 1499\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + j + 12, -6 = -2*v + 2*j - j. Let h(l) = 2*l - 1. Let d be h(2). Suppose 24 = v*i - d*k, k + 2*k = -9. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 46 = -28946*v + 28941*v - 11, 21 = 3*v + 3*q for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 v when four letters picked without replacement from vtxxvtxvvxxvtvvt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, a: 3, p: 2, u: 1, j: 9}. Give prob of picking 1 j, 1 p, and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74, 85, 98, 113, 130, 149?\n\"Answer: l**2 + 8*l + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(558\/32))\/(12\/(-54))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 33*q - 5. Let x be u(5). Let h(c) = 7*c**2 - 7*c - 3. Let d be h(2). Let r = x - d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011010100 - 11?\nAnswer: -100011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3. Suppose -22 = -2*l + 5*h - 3, 0 = -3*l + h + 9. Let r = l + s. Is r greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10018155 + 5018155. What is y rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 208261508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Solve 3*y = 9, z*i + 5*y + 5 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x - 2*b + 8 = 0, x - 3*b = -12. Suppose -4*m - m + 10 = x. Suppose i = m*h - 2*i - 70, -4*h - 5*i + 140 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4476, 21, -3 in decreasing order.\nAnswer: 4476, 21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 5*c + 3. Let i be q(5). Suppose -2*v + 2*b = -b - 34, -51 = -i*v + b. Solve -4*z - 19 = g, 49 = -4*g - 5*z + v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 6 in decreasing order.\nAnswer: 6, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/16 - (21\/(-24))\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - z**2 + 1)*(6*z**3 - z**3 + 4*z**3) - 10*z**2 - 4*z**5 + 10*z**2.\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*o - 9*o + 156 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*t**3\/7 - 204*t**2\/7 + 144*t\/7.\nAnswer: 4*t*(t - 3)*(13*t - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 7. Let j = n - -8. What is the third derivative of z**2 + z**5 - 4*z**5 + z**j wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219752 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 22*p**2 - 7*p. Let v = -42 + 41. Let r be ((-2)\/6)\/(v\/(-21)). Let n(z) = 15*z**2 - 5*z. What is r*n(x) + 5*o(x)?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04109 from -24.\nAnswer: -24.04109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(300)*-1 + 3*sqrt(300) + -4 + sqrt(300) + ((-1*sqrt(30) + sqrt(30) - sqrt(30))*-6)\/(-2*sqrt(810))).\nAnswer: -4 + 59*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17658 - -17682. What is the highest common factor of 394 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -62. Let t = -7 - -12. Sort -0.4, t, m in increasing order.\nAnswer: m, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 466*b**2 - 59*b + 182. What is the thousands digit of m(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-31 - (13 - 41)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 3*s - 14, s = -3*p - s - 10. Suppose 4*k = -4*h + 8, -2*h + 2*k + 8 = 5*k. Let z be 2 - h - p\/(-2). What is the closest to 1 in 3\/4, 1\/2, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763 + 118 = 8*s - 68*s - 1965 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 4, q: 3, m: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1089 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i + 612607 - 994602 - 956935 = 0. Is i a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1 - -2))\/(-2 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3 - 18. Calculate the remainder when 1\/2 - (-159)\/6 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o + 3*p + 393, -2*o = -3*p + 759. Let a = o - -758. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -9) + 4 + -8 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11359386?\nAnswer: 2, 3, 210359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 114417198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32331 = 20*m + 31031. Solve m - 217 = 19*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 33, -172 in increasing order.\nAnswer: -172, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x + 4. Let b be u(5). Let k = -15 - -22. Let i be k + (-1)\/(0 - -1). Calculate the greatest common divisor of b and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 divided by 41?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f = -299 + 1055 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3\/3 - 1772*w**2\/3 + 16*w\/3 + 7088\/3 = 0 for w.\nAnswer: -443, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 23\/4 (b) -0.04 (c) -2\/377 (d) 2 (e) -1 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, -1\/7, -2552.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 159435, 159576, 159717?\n\"Answer: 141*y + 159294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/409 - -1650\/2863. Which is the closest to -1? (a) 0.09 (b) 5 (c) 1\/4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -65?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - d**4 + d**4 + 6*d**5 - 2*d**5 - 3*d**5 + (-d**2 - 5*d**2 + 3*d**2)*(3*d**3 - 8*d**3 + 3*d**3).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -194. Calculate the highest common factor of 36 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199 + -86. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t**2 + 13*t**2 - 6*t**2 - 2*t in the form c*t + u*t**2 + k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o + 17. Let q = 261 + -262. Let m be s(q). Solve 16*d - 13*d = -m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443313*-2.\nAnswer: -886626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-1\/3))**(-2\/19) assuming x is positive.\nAnswer: x**(-4\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 435997, 13, -5, -2 in decreasing order.\nAnswer: 435997, 13, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1126850 less than or equal to -1126724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 18*a - 13*a - 397 + 132 + 120.\nAnswer: -31*a - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 28*s + 8. What is the tens digit of p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/32 and 45\/992.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001589984 to six dps.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 494 - 3090. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -78*b**2 + 6*b - 2. Let a(n) = 110*n - 2. Determine a(c(q)).\nAnswer: -8580*q**2 + 660*q - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x**2 - 3. Let h be 8 + (2 - (2 + -2)). Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120600247 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0688363 + -9.63881.\nAnswer: -9.7076463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 408\/(-21) + 3\/7 - -3. What is the tens digit of (-4024)\/m + 4\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3019739448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -54*i**2. Let h(m) be the third derivative of 0*m + 0*m**3 - 28*m**2 + 0*m**4 + 1\/30*m**5 + 0. Give h(t(c)).\nAnswer: 5832*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -129133851 take away 12559?\nAnswer: -129146410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 91, -3, -5, -9, 2 in decreasing order.\nAnswer: 91, 2, -2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*207.\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:36 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 366.592ml?\nAnswer: 0.366592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 4*s**2 + s + 2. Let h be t(4). Let m(c) = -c**3 + 6*c**2 + 2*c - 1. What is m(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u + 6*u + 4*u. Let z(o) be the first derivative of -3*o**2\/2 + 682. What is k(z(v))?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/8, 15, -7, -6, 6.\nAnswer: -7, -6, -3, -1\/8, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5343853 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 118 + 47)*(-3*d**4 + 3*d**4 + d**5).\nAnswer: -72*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = o - 3*o - 334, 324 = 5*m + 3*o. Calculate the remainder when m is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 1026*i + 86796. What is s(93)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 8486099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 25*t**2 - 25*t + 22. Give h(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1797134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1454535 by -5.\nAnswer: -290907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -470a06 (base 11) to base 16\nAnswer: -b6983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -41*z**4\/12 - 59*z**2\/2 - 51*z. Find the first derivative of w(t) wrt t.\nAnswer: -82*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13404?\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 15*q + 21. Let p be a(6). Solve c + 2*m + 2 = -p*m, 3*c + 5*m + 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*y + 4*i - 62 = -80*y, -2*y + 9*i = 62 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 2*x**2 + x - 2. Let t be v(2). Let m be 1\/4 - (-62)\/t. Let d be 40 + -1 + -1 + 2. What is the highest common factor of m and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -108180, 0.1, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5729.9 times 5?\nAnswer: -28649.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 2 h when four letters picked without replacement from {b: 2, d: 8, h: 8}.\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -34*k + 277. Give z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 16*b + 28960. Let w = 10833 - b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, s: 4}. What is prob of picking 2 s?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9 (b) 0.5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 51*w**2 + w. List the prime factors of s(-3).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -558 - -589. Suppose 35*t - 68 = d*t. Solve 2*x - t = -25 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-25)*(-2475)\/297.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 - 580*i**4 - 2*i**3 + 2*i**2 + 2*i - 782 wrt i?\nAnswer: -60*i**2 - 13920*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 121678.4mm?\nAnswer: 121.6784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a - 19. Let g(t) = 4*t + 6. Let w(k) = 8*g(k) + 3*v(k). What is the units digit of w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -9*u**7\/14 + 3*u**6\/5 + 33*u**5\/20 - u**4 - 2*u**3 + 3*u + 27. Solve t(g) = 0 for g.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4573 + 5512 - 1003 = -478*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26441 is divided by 75?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012010 - -10?\nAnswer: -2012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18865027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = -9*m + 3528. Let -32*j + 16*j**4 + 34*j**2 + m*j**3 + 171*j**2 + 35*j**2 = 0. Calculate j.\nAnswer: -4, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(576)*-6)\/(sqrt(30)\/(sqrt(10)*2) - sqrt(15)\/(sqrt(20)\/sqrt(4)))*2 + -1.\nAnswer: -576*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 428644*k - 6464. Let u(a) = -398*a + 6. What is 3*l(y) + 3232*u(y)?\nAnswer: -404*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 8*n - 9. Let z be o(-6). Let w be (21 - 3)*1\/z. Let k(u) = 6*u - w*u + u + 2*u. Let h(r) = 3*r. Determine k(h(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*x = -y + 3, 0 = -4*y + 2*x + 6. Suppose 8 - y = 2*b. What is the second derivative of b*u - 3*u - 4*u + 5*u**3 + 3*u wrt u?\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449424 is divided by 1224650?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-6 - (-8 + 5)) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3095 rounded to one dp?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/(a*a*a*a*a\/a**(4\/5)))*a)\/(a*(a*a**(-8)\/a)\/a))**3)**(13\/7) assuming a is positive.\nAnswer: a**(2769\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 857.968 + -858. Round v to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102202211200 (base 3) in base 13?\nAnswer: 81606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from {l: 2, p: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -41 (b) 1\/7 (c) -5\/3 (d) 92\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080063816 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-5 + 3 + 6)*(-1 - c + 1).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11082 is divided by 382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 0*g**3 - 3*g**3)*(3 + 8 - 17) + 5*g**3 - 3*g**3 + g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 66396 = 28*j - 16*j. Calculate the remainder when j is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 337*i - 9 - 9 + 18 + 2 to the form a*i + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -1 + -1 - -4. Suppose k = -i*d + 2*k + 3, 0 = 2*k - 6. List the prime factors of 14 - d*4\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9132.13ml?\nAnswer: 9.13213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(-72)\/(-90)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16307 and 24106.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 2, z: 2, a: 7, k: 4}. What is prob of picking 1 z and 1 a?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1118, 5, -65, -20 in increasing order.\nAnswer: -65, -20, 5, 1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -43?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -874928*q + 403621 wrt q?\nAnswer: -874928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307\/420 + -2\/105. Sort 3, p, 19, 5 in ascending order.\nAnswer: p, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 8 + 4. Let y(r) = 2*r + r**b - 3*r - 2 + 5. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18.627894 minutes?\nAnswer: 0.3104649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 4*a - 126 + 105, -16*a + 45 = p - a - 44 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 761.192 + -766. Let f = -5 - t. Let x = 8.492 + f. What is x rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let l(g) = -2563*g + 3 + 849*g + 848*g + 850*g. Determine l(m(j)).\nAnswer: -16*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 293351936 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 278.906189 to one dp.\nAnswer: 278.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 5, 78, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 10 = 50 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {a: 3, j: 2, s: 2, d: 2, q: 6, b: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202 - 187. Sort 0, 2\/9, -0.4, v in ascending order.\nAnswer: -0.4, 0, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*o + 55, 5*z + 5*o = 2*z + 1. Let j = -6 - z. Solve -2*g + 4 = -j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 135760?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {o: 1, w: 2, t: 3, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*3\/6 + 91. Let w = -182 + j. Let l be 2\/(-7) + 518674\/w. Round l to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292)\/(-876) - (-26)\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 72. Which is greater: r or -1.77?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -5*r - 18 - 13, w = 5*r + 13. Put -4, 1, w, -25 in descending order.\nAnswer: 1, w, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3*3)\/(4\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359 divided by -251.\nAnswer: 359\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4 + 5*f**3*t + 77*f**3 - 5*f**2*t - 54 wrt f.\nAnswer: -48*f + 30*t + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*l**2 - 137*l**2 + 111*l**2 - 203*l**2 to the form w*l + g*l**2 + s and give g.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 - 922\/7. Is 1 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134*132\nAnswer: 17688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4)*(0*s**2 + 0*s**2 + 2*s**2) + 301*s**2 - 303*s**2 + 1363*s + 1222*s + 2030*s.\nAnswer: -10*s**2 + 4615*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 7. Let p(y) = -y**2 + 3. Let b be p(0). Let d be a(b). What is the biggest value in -1, d, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -433\/2002 - -2\/1001. Suppose -13*b = -0*b + 5*b. Are q and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 1 - (683 - 695) - (1 + 0 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1378 + -1374. What is the fourth smallest value in -3\/4, 1, -1\/3, 27, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 11.\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*l = -69*l + 5*j - 1930, -j = 3*l - 5734. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 less than -0.072?\nAnswer: 94.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 942116.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, r: 3, d: 6, k: 3, y: 2, v: 2}. What is prob of picking 1 d, 1 r, and 2 v?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17217 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 87 = 6. Let n be 6\/36*-4*u. Calculate the greatest common factor of n and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/120*(7 - 15).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6373653 and 33?\nAnswer: 6373653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k. Let n(m) = -3*m + 68. Calculate a(n(o)).\nAnswer: -21*o + 476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - (11 + -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 14*x + 3. Let y be w(13). Solve 7 = -3*l + 3*n - 5, -4*n + y = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49*(83\/(-73206)*-126)\/(2\/(-8))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7540 + 881. Suppose 16*v - k - 1963 = 0. What is the greatest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -2 (c) -12\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3327*g**4 + 1665*g**4 + g**3 + 4*g - 8*g**2 + 1664*g**4 to i*g + j*g**2 + o*g**3 + k*g**4 + s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4 - (-14 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 2 + 2*i - 2*i**2 + 2*i**4 + 102474*i**3 - 102473*i**3 in the form w*i**4 + m*i + y*i**3 + a*i**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 994\/525*80\/4640 and -81\/50?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-31)*x**34)\/(x**(-34)\/(x\/x**(2\/49))) assuming x is positive.\nAnswer: x**(1860\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2. Let v(c) = -c. Let z(i) = 5*i + 2. Let f(u) = -60*u - 25. Let b(d) = -2*f(d) - 25*z(d). Let m(w) = b(w) - 3*v(w). Give m(g(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502285887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12465968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:21 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u - 28*u - 18 = n, 0 = 3*u + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205*p*s**3 - 8*p*s**2 + 2*p*s - 10*p wrt s?\nAnswer: -1230*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -5 (c) -3\/7 (d) -54 (e) 12.73 (f) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102492 or 102494?\nAnswer: 102494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26051 (base 9) to base 14\nAnswer: -6570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 688c9 + 42?\nAnswer: 6891b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from {b: 6, w: 12}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)\/(-1)*(-2828)\/4. Let a = 725 - h. Solve 0 = 4*n + 5*t + 6, -4*n = -0*t - t + a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1216) + sqrt(1216)*1 + 4)*-2*-4)**2.\nAnswer: 73728*sqrt(19) + 2810880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2684 - -2715. Calculate the remainder when 525 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21022 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 6*r - 2. Let z be (-14)\/(-161) + 113\/23. Suppose -5*t + 10 = -0*t. Suppose -z*d = 2*h + 35, 0*d + 30 = -t*d - 4*h. Calculate c(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 592 = 4*a, -18*a + 938 = 3*t - 22*a. Is 102 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 30*o**2 - 174*o + 3. Let i(s) = s**3 + 61*s**2 - 350*s + 5. Let b(z) = -3*i(z) + 5*x(z). What is p in b(p) = 0?\nAnswer: -15, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163594526 is divided by 165.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1225604 (base 7) to base 14\nAnswer: -41874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(88)*5*5)\/(4*(sqrt(8) + (-3*sqrt(96))\/sqrt(12))))**2.\nAnswer: 61875\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276 - 118. Let t = d - -120. Suppose -w = t + 772. What is w rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 - 5*z + 1. Let p be c(-4). Let x be (-2)\/(5\/(p\/2)). Let l = 19\/3 + -79\/12. Which is greater: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -2, -3 in decreasing order.\nAnswer: 9, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 317344.\nAnswer: 952032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 2*c + 3*c - 5*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rra when three letters picked without replacement from arararaqrrraaarm.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzzzxzzxxxzx. What is prob of sequence zzx?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z = -8 + 250 + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 711113180 to the power of 1\/2, to the nearest integer?\nAnswer: 26667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, 2, -3\/4, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 + 1.500105. What is s rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 2. Calculate the least common multiple of 42 and p.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*y - 250*y + 74*y + 28*y + 63*y.\nAnswer: -51*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28122243892+0.1\nAnswer: -28122243891.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 7*z**4\/24 + 7*z**3\/6 + 3*z**2. Calculate the remainder when a(9) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 42*r**2 + 206*r - 380. Give c(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.61995 microseconds in milliseconds?\nAnswer: 0.08261995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*t = x + 10, 10 = -x - 5*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 23 = h, 2*i + 0*h - 2*h + 14 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 14*u - 66. Let d(w) = -31*w + 3. Give f(d(j)).\nAnswer: -434*j - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + (1*sqrt(450))\/sqrt(10) + sqrt(45) - sqrt(225)\/sqrt(20))*-1)\/((sqrt(432)*-6)\/(sqrt(24)\/sqrt(2))).\nAnswer: 5*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = y - 158 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f = -2*c + 653, 10*f - 23*f + 18*f - 154 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*c = 2*k - 9*k - 241, 3*c - 8*k + 252 = k for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i + 35 = -51*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(528)\/sqrt(3) - (3 + sqrt(176)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585437397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r - 3*q + 39 = 0, -2*r + 10 = -2*q. Calculate the remainder when 35 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 - -39. Let j(r) = r**3 - 8*r**2 - r + 9. Let q be j(8). Let f be (q\/(-2))\/((-17)\/204). What is the highest common divisor of f and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0917 * -1442\nAnswer: -132.2314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -294*v. Let r(u) = -25*u - 14. What is r(i(h))?\nAnswer: 7350*h - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1469*q - 1474*q = -12*r - 6, 4*r = -q - 2*q - 30 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291212 divided by -72803.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose 2*g - g = t. Solve -8*r + 3*r = g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39116258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1779, -1779, -1777, -1773, -1767, -1759, -1749?\nAnswer: -1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 21. Let n be j(-24). Suppose 5*u - 3*v + 5 = -0*v, 4*u + 26 = -2*v. Sort -2, u, n in decreasing order.\nAnswer: n, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3608230.44 to the nearest one hundred.\nAnswer: -3608200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -2132103?\nAnswer: -2132121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/k**(-1\/8) assuming k is positive.\nAnswer: k**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*l = 2*l, -3*l - 16 = -2*b. Suppose w - 2*m = 7, 5*m = -3*w + b + 5. Solve -2*h = 3*f + 2, w*f + 2*h = -0*h + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p + 0*p)*(6*p - 6*p - 25*p**2 + 161*p**2) in the form n*p + h + f*p**3 + t*p**2 and give f.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13875 is divided by 13014.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/60 + j**3\/2 + 3*j**2. Let u be x(0). Solve -g - 16 = u*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8309 - -7144. Calculate the remainder when l is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*z**4 + 4*z**3 - 133*z**2 - 1341720*z?\nAnswer: -192*z**2 + 24*z - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 23, 22, 9, -22, -77?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, -1, 58 in increasing order.\nAnswer: -1, 58, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 greater than or equal to 6547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (11 + -11 - 1). Find r, given that 2\/7*r**2 + 0 + 0*r - 12\/7*r**3 - 8\/7*r**5 + 18\/7*r**u = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 581471, 1162972, 1744473, 2325974?\nAnswer: 2907475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 28 = 4*h. Suppose 0 = -345*g + 347*g. Suppose g = 2*j - h*j + 285. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139060125877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1257 + -0.0757. Sort 4, y, 2, -5 in descending order.\nAnswer: 4, 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/15 - 1372*f\/3 - 6854\/5 = 0. What is f?\nAnswer: -3427, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 5*y)*(2*y + 195*y**3 - 7*y + 5*y) to the form j*y**3 + w + z*y**4 + n*y + m*y**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7674.368517518 + -7926.3685178. Let z = y + 252. What is z rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f*f*f)**(-11) assuming f is positive.\nAnswer: f**(-121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 20. Suppose u + 3 = 0, -2*u + o = s + 3. Suppose -32 = -g + s. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcovootvtobvvoo. What is prob of sequence oob?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + sqrt(68)*2 + 4)*2.\nAnswer: 8 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1 + 15 = -5*a, 0 = -4*z - 3*a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 - ((-294)\/12 + 8\/(-16)). Let z(s) = -s**3 + 11*s**2 + 45*s - 36. Give z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699, 711, 721, 729, 735, 739?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 24704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 1:02 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0 + 0)*((0*w**2 + w**2 + 7*w**2)*(-3*w + 0*w - 5*w) + (w**2 - 4 + 4)*(5*w - 2*w - 4*w) + 3*w**3 - 5*w**3 + 0*w**3 - 2*w**3 + 3 - 3).\nAnswer: 69*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -297*m**5\/5 - 2*m**3\/3 + m**2 + 535*m - 2704. What is the second derivative of h(f) wrt f?\nAnswer: -3564*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 354 + -134?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(432) + -4.\nAnswer: -2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**3 + 12*v**2 + 8*v - 6. Let q(a) = 5*a**3 + 13*a**2 + 9*a - 6. Let x(o) = 4*g(o) - 3*q(o). Let b = -6 - -1. Is x(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**4\/3 + 17*t**3 + 155*t**2 + 413*t\/3 = 0.\nAnswer: -7, -1, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -13*c**3 + 9*c**2 + 16*c - 10. Let q(f) = -f**2 - 14*f - 7. Let h be q(-14). Is s(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13760 in -0.5, -4, 3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, a: 13}. What is prob of sequence faa?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 d when three letters picked without replacement from dgggggqsqqgg.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 19*y + 24. Suppose -120 = 5*m - 4*j, 0 = m + m + 3*j + 25. Does 4 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*m - 35 + 2 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 742*a + 3292. Give r(-4).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125 - -47. Let t = x + 240. Let n = -5597 + 5615. Calculate the greatest common factor of t and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1324 - 1422141?\nAnswer: -1424020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 - 32*l - 99. What is the remainder when 168 is divided by f(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 575.7294819 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2200 and -57\/4400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 184440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13\/3 (b) 3\/8 (c) -58\/31 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 135 = 24*v. Let l(g) = -g + 74. What is the tens digit of l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8037498*w - 1. Let a(z) = 11*z. Give m(a(t)).\nAnswer: -88412478*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*q**2 - 2*c**2 - 92*c*q**2 + 2*c - 8*q**2 - 641*q + 1 wrt c?\nAnswer: 2*c*q**2 - 4*c - 92*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + (sqrt(272) + -1)**2)*1.\nAnswer: -14*sqrt(17) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m + 218 = 92 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:17 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 4*a**3 + 0*a**3 + 0*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.01, 2\/15, 0.7, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9*d + 33 + 12*d**2 - 11*d**2 - 4*d. Let o be r(15). Let q = o - -42. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 322 = -388. Let r = y + -82. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, -24, -99, -240, -465?\n\"Answer: -3*w**3 - 6*w**2 + 12*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and (8\/(-3))\/(3\/(-18))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 29\/4 (b) -15 (c) -2 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/66 + -6*20\/1760. What is the second smallest value in y, 3, -58?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*g**3 - 21*g**3 - 36*g**3 + 2*g**3 - 3*g**3 + 2*g**3 + (23*g - 37*g - 27*g)*(2*g**2 + 1 - 1).\nAnswer: -149*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -0.156499.\nAnswer: -2.156499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144159 - 3980. Suppose b = -3*m - 3881. Round m to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 7*f + 14. Let g be c(-4). Solve 5*d = -3*w - 2 + 1, -4*d = 3*w + g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(9\/(-273)))\/(-4)*(-6882)\/16058.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -355759\/56368 - 4\/3523. Let c = 1374449677\/705630 - 7\/117605. Let b = -1934 + c. What is the common denominator of u and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/1*105\/(-126). Solve 0 = 3*w - 5*z - 29, -4*z - i + 3 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200420 (base 5) to base 6\nAnswer: -45240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0*x**2 + 3*x**2 - 2*x**2 - x + 1. Let n be w(0). Let y be (-6)\/15*n*10. Which is bigger: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -250852*k*n**3*y - 438309*k*n**3 wrt y?\nAnswer: -250852*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**2 - 4\/5*d + 2\/5*d**5 + 3\/5*d**4 + 0 - 16\/5*d**3 = 0.\nAnswer: -4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60978686?\nAnswer: 2, 281, 108503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(17) + 4)**2 + -2*(sqrt(17) + -1) + (5*6*(sqrt(612) + sqrt(612)*-1))**2.\nAnswer: 14*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 128\/12*(-2 - 35\/(-10)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.119 + -65.561. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -275, -271, -277, -299, -343?\n\"Answer: -x**3 + x**2 + 8*x - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/(12\/30). Suppose 22 + 35 = 3*y. Suppose 0*v + n = a*v - 57, v - n = y. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.5938828 months?\nAnswer: 0.0002161569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x - 2. Let u(p) = 2553083*p**2. Give c(u(o)).\nAnswer: 17871581*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3280)\/(-40) + -78 + 53?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Let x(j) = 4*j**2 + j. Let h(r) = 3*r**2. Let f be 12\/(-10)*4365\/2619. Give f*x(w) + s*h(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 8*c + 12. Let x be d(9). Suppose x*w - 3 = 117. What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 158350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 + 8 = 15*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:56 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**2. Suppose 10*s - 175 = 5*s. Let k = s - 25. Let q(m) = -4 - m + k - 6. Give p(q(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 515\/143 - 962792\/266981. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*s**3 + 4 + 191*s**3 + 179*s**3.\nAnswer: -74*s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5151 greater than 5047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 1. Suppose 0 = 5*b - b - 12. What is g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14 - z + 2*z**3 + 44 - 18 + 2*z**2 - 11. Let a(h) = -h + 2. Let l be a(4). Let o be t(l). Let c(d) = d + 8. Determine c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10)\/(x\/(x**9*x)))**(-14\/15)\/((x**(2\/9))**(-5)*(x*x**(-4))\/(((x**(-5\/2)*x)\/x)\/x)) assuming x is positive.\nAnswer: x**(139\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28259\/5 + 5652. Which is the closest to y? (a) 5 (b) 3\/17 (c) -2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467037197?\nAnswer: 11, 42457927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - h = 8*f - 82, -3*h - 26 = -2*f. Suppose 2 = 3*d - y, y + f = 5*y. Suppose 0 = -3*c - 2*s - 22, -3*c = -3*s + s + d. Which is bigger: c or -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 28*o**3 - o**2 + 3*o + 4. Let w be h(3). Let u = -357 + w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/((p*p**19\/p)\/p))\/p))\/(p\/p**(-17)))**(-2\/7) assuming p is positive.\nAnswer: p**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14571*x**2 + 632*x + 15 wrt x.\nAnswer: 29142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(4\/4))\/(-7)*3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 24. Let z(a) be the first derivative of a**3 + 41. Determine g(z(l)).\nAnswer: 18*l**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -785, -1576, -2369, -3164, -3961, -4760, -5561?\n\"Answer: -g**2 - 788*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 900 - 900.4. Let t be (-2)\/11 - (-666)\/33. Let f = -39\/2 + t. Which is the nearest to -0.2? (a) f (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/8*-1*4. Let l(b) = -b**3 - 15*b**2 - 45*b - 11. Let g be l(-11). Does 20 divide r - (-44 - (g + -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90950 + 128427. What are the prime factors of h?\nAnswer: 11, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*d + 14, -2*u + 3*u - 2*d = -23. Let w(a) be the first derivative of -a**3\/3 - 15*a**2\/2 - 21*a + 2. What is the units digit of w(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 26 + 11*n)*(n**3 - 2*n**3 - n**3 + (0 + n + 0)*(5*n**2 - 2*n**2 - 5*n**2))*(-31 + 31 - 5*n).\nAnswer: 220*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99695.3l?\nAnswer: 99695300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2 - 4*b + 64. What is the hundreds digit of c(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51911 is divided by 220.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*q**3 - i*q**3 - 778751*i*q - 189*q**3 + 3035 with respect to i.\nAnswer: -3*i**2*q**3 - q**3 - 778751*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*a - 66*a + 32*a + 4. Sort a, -25, 4, 3.\nAnswer: -25, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 29 = z + 24, 0 = 3*p + 2*z + 41. Let c = 14 + p. Let m(s) = -2*s**3 + 1. Determine m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562776358?\nAnswer: 2, 179, 1097, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*k - 3*g, -3*k + g = -23 + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/24 and -23\/408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4990, -4958, -4912, -4846, -4754, -4630, -4468?\n\"Answer: j**3 + j**2 + 22*j - 5014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -24. Let a(v) be the second derivative of -4*v + 0 + q*v**2 - 1\/6*v**4 + 0*v**3. Let z(n) = 2*n**2. Give a(z(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 272 - 469. Let o = 177.4 + s. Round o to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + r**2 + 0 + (-2*r - r + 4*r)*(1 - 2*r - 1) + 2*r**2 - 2*r**2 - 3*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 + 155. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 540 = -26*j. Calculate the remainder when 73 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 2, 0.048, 5\/4, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f - 22 = -48*f - 3*h, 70 = -23*f + 3*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6569 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13792 divided by -947\nAnswer: -13792\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5163 divided by -1.\nAnswer: -5163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -573 by 3.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 174. Suppose -68*y + 784 + 2721 = -6287. Calculate the greatest common divisor of y and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*r + 13 + 3, -5*r = -2*a + 8. Let l be 2\/3*(-9)\/(-6). Let p be l\/2*4 - 1. Solve -s - a = -p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 3*s**2 - 2*s - 2. Let k be w(-3). Suppose 23 = -2*v - 3*c - 2*c, 0 = -k*v + c - 57. What is the remainder when 29 is divided by 216\/21 + 4\/v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 + 6*z + 6. Let n be u(-5). Factor -l + n + l - l**2.\nAnswer: -(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -24, -26, -28, -30, -32?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 1615*h**3 - 378 + 1143 - 379 - 386.\nAnswer: -1615*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3264.512 centimeters to meters.\nAnswer: 32.64512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/132)\/(3\/218) and -15\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*a + 391 + 39*a + 31*a - 107*a to the form z*a + b and give b.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-156)\/(-8)*1\/(-33) and ((-2160)\/102)\/(-18)*2\/16?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3262 (base 7) in base 5?\nAnswer: -14141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let x(g) = 4*g - 4. Let f(r) = -2*a(r) - x(r). Suppose 0 = y + 3*y + 5*o, 0 = 3*y - 4*o + 31. Is f(y) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-26)*36\/(-420). Is m smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 360180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**4\/6 - 7*c**3\/6 - 2*c**2 - 14. Let i(y) = -5 - 5*y - 4 + 1. Calculate -5*i(p) + 6*k(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3))**13)**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -158*t**2 - 5014*t + 133. Calculate c(-32).\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-173 - (-86 - -86)) + 133.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 2. Let i(d) be the first derivative of 1\/6*d**6 + 3\/5*d**x + 3\/4*d**4 + 1\/3*d**3 + 0*d + 0*d**2 + 5. Factor i(a).\nAnswer: a**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1093, -1089, -1085, -1081, -1077, -1073?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*1*(-10)\/(-5). Let h = -487.49 - -484. Let t = -0.49 - h. What is the third smallest value in t, 1, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 4*r, 0 = 3*o + 3*r - 3. Let p(i) = 2*i - 1 + 0 - 2*i**2 + 5*i**2. Let h(j) = -2*j**2 - 3*j + 1. Let x(t) = 2*h(t) + 3*p(t). Determine x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -2, -13\/7, 4 in decreasing order.\nAnswer: 4, 2, -13\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153) + (sqrt(153) + -3)*6 + sqrt(153)) + 3 - 3*1*(sqrt(153)*-1 + sqrt(153) + -2))**2.\nAnswer: -33696*sqrt(17) + 366201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -6*m**4 - 22551*m**3\/7 - 43203*m**2\/7 + 70611*m\/7 - 4815\/7 = 0.\nAnswer: -535, -3, 1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64333658413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**10\/37800 + r**6\/180 + 3*r**5\/20 + 2*r**2. Let t(w) be the third derivative of n(w). Differentiate t(i) wrt i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*f - 221 = -541 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.56, 10, -6\/11, 0.167?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(300)\/(sqrt(5) + sqrt(5) + -1*sqrt(5)))\/sqrt(6))\/(sqrt(50) + sqrt(50) + (sqrt(50) - sqrt(800)*2) + sqrt(50)))*6.\nAnswer: -12 - 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.03239 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 - 5*s - 7. Let u be (2 + (-4)\/12 + -2)*-9. Let d(h) = -14*h**2 + 14*h + 20. Determine u*d(g) + 8*j(g).\nAnswer: -2*g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21121222220 (base 3) to base 8\nAnswer: 445233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:14 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(140\/(-24)))\/(2\/(-7)). What is the third derivative of 104*u**5 - 6*u**3 + 2*u**2 + 18*u + 21*u**d + 3*u**2 - 15*u**3 wrt u?\nAnswer: 6240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(9*n + 73*n - 31*n).\nAnswer: 102*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4575 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) 1\/8 (c) -26 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**3 - 5*z**2 - 8*z - 2. Let k(h) = -h**3 - h**2 - h. Let p = -1917 + 1912. What is p*k(t) + v(t)?\nAnswer: 2*t**3 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4464597 - -1905403. Round a to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 2\/19 (c) -2 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by 372.\nAnswer: 9\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319 - -303. Is r at most -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1032*t + 7223. Let u be r(-7). Let j(f) = -21*f - 4. Determine j(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2583)\/588)\/41*-4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from {g: 2, i: 9, x: 6, k: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, 3, 1\/3, 0.02, -2659, -0.2, 6?\nAnswer: -2659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -257*a**2 + a + 2. Let y be j(-1). Let h be 5\/((-20)\/y) - 0. Let r = h + -34. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z + 8. Let x = -12 + z. Does 16 divide (-4 - 4\/(-3))*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 244?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 96*c - 1. Let q be b(0). Sort -14, 4\/3, q, -10 in increasing order.\nAnswer: -14, -10, q, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 245170*k**2. Let i(d) = -260*d. Calculate i(j(o)).\nAnswer: -63744200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10*a = 5*a - 20, -4*a = k + 25. Put 6\/5, 2, k in descending order.\nAnswer: 2, 6\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385, 3100, 10797, 25966, 51097, 88680, 141205?\nAnswer: 211162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 3023?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:20 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqxjqxxxqqx. What is prob of sequence qj?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = -79. Let j = 76 + b. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10991 at least -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1400 divided by 127992\nAnswer: 175\/15999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.2 + 87.2. Let z = t - 52. Let p = z + -24.99956. What is p rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(4\/(-6))\/1. Let v be (-1)\/2*(-5 - -7). Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117915522 divided by 2627.\nAnswer: 44886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, c: 1, t: 12}. What is prob of picking 1 u, 1 t, and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 16641744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -0.4, -1432, 1\/8, -51?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23509 = -48*w + 16*w + 23509 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((52\/(-5))\/4)\/(((-240)\/50)\/8).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5526\/4571 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1, -1, 2\/7, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, c: 1, n: 3, l: 1, m: 2, d: 1}. What is prob of picking 1 n, 1 y, 1 l, and 1 d?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Suppose -3*a + 8 = -f. Suppose -22*j - 5*j = -5*j - 132. Solve u - j = -u + a*x, -x = 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19635537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 28, -5*v = -110*b + 106*b - 39 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 48 - 27 = 0. Suppose t = 4*y + v, 5 - 24 = -3*y - v. Solve -1 = 5*n - y*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3202 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, y: 4, u: 4, l: 3}. Give prob of sequence lu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*z**4 - z**4 + 7*z**4 + (5 + z - 5)*(368*z + 104*z**3 - 368*z) to the form w*z**4 + r*z + o*z**2 + n*z**3 + f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.02, 1\/3, -42.\nAnswer: -42, -0.02, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 445390 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 306\/24*8\/3. What is the greatest common divisor of 102 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) -0.41 (d) 8\/5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - -13. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 (base 10) to base 2\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 7. Suppose 5*h - 451 = 3*v, 0 = 2*h - 3*v - 212 + 37. Let z = 94 - h. What is the greatest common divisor of z and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -30.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**6\/600 + h**5\/150 - 29*h**2. Suppose m(g) = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 8*n**2 + 18*n + 82. Let y be t(-9). Let d(k) = -10*k**2 + 6*k - 7. What is d(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821525 is divided by 727?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 - 3 + 3 + (0*a**3 + 3*a**3 - a**3)*(-2*a - 2 + 2) + 4*a**4 - 3*a**3 + 16*a**3 - 8*a**3 to d*a**4 + l*a + o + k*a**2 + g*a**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -1617010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -532.1761 at least -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9636 divided by -9754\nAnswer: -4818\/4877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z - 52. What is the remainder when u(-10) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 4. Let l be h(-8). Suppose 2*u = -5*o - 4, -3*u - o = -8*u - 64. Let p = l - u. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1668*d**2. Let k(m) = 4*m**2. Give k(a(q)).\nAnswer: 11128896*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/2721 - -661217\/19047. Let v = r - 36. Find the common denominator of ((-48)\/(-132) - 28003\/(-3608))\/(2\/4) and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**4\/12 + x**3\/2 + 3*x**2\/2 + 2*x + 26. Let i = 0 - -6. Calculate f(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96c5 + 241?\nAnswer: 9926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.3. Let w = 24.4 - 24. Is w greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718*a - 505*a - 110168 = 120*a - 171*a for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + r + 4*r = -19, r + 5 = 0. Let w be i\/(-2)*3*-3. Let n be 1\/(-1 + 12\/w). Solve -q + n*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2. Let w(p) = -256*p**2. What is w(s(z))?\nAnswer: -1024*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Suppose q = k + 3*k - 144. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 95 = 13*g + 25*d, 4*g - 51 + 11 = 4*d for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*u - 299884 + 307556 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1760182, 3520262, 5280342, 7040422, 8800502?\nAnswer: 10560582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**3 - 5*g. Suppose 32 = 10*u + 12. Let b(f) = -2*f**3 + f. Calculate u*y(d) + 11*b(d).\nAnswer: -2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 8*w - 5. Let z(k) = 3*k**2 - 12*k - 8. Let i(y) = 7*n(y) - 5*z(y). Calculate i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-12)\/1)*129\/645\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 6. Let i be d(-4). Let o be (-4)\/(-2 - i) + 3. Suppose b - 1 + 9 = -5*t, 2*t + 5*b + 17 = 0. Sort o, 3, t.\nAnswer: t, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5. Let n = 308 - 116. Let p = n - 188. What is the third biggest value in m, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j**2 - 4*j**2 - 12*j**2 - 5 wrt j?\nAnswer: -20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:57 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffdffffffffqf. Give prob of picking 2 f.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 19. Let d be q(12). Let k be 2\/(-8) + 138\/8. Is d less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 638118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 24057030*u + 28937034621045.\nAnswer: 5*(u + 2405703)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/32463?\nAnswer: -2\/32463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, 2\/5, 140, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14537416.\nAnswer: 2, 1817177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**4 + 168972*w**3 - 844814*w**2 + 337908*w + 1351696 = 0.\nAnswer: -1, 2, 4, 84481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 6*g - 5*g - 40, 5*g + 20 = 2*p. Let n = -7 - 25. Let k = n - -38. Solve p = -l + k*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 13*z - 24. Let i(p) = -5*p - 1. Let w be i(1). Calculate the lowest common multiple of 2 and d(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 33.53. Let x = -0.16 - t. Let z = x + 0.03. Which is the second biggest value? (a) -0.4 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/12 - 20\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -120*n + 476. Determine q(5).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**3 + s**2 - s + 1. Calculate d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1217, 1214, 1211, 1208?\n\"Answer: -3*h + 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - -22101?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58, -117, -176?\n\"Answer: -59*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3117 is divided by 261.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - w + 28. Suppose -a = 5*m - w, -14 = -4*m + 2. Let u = -3 - a. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -464 - -680. Does 16 divide (3 - l\/56)*7*-15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 - -1763\/7. Let s be 2 - 7296\/(-480)*(-1)\/8. Which is the closest to -1\/3? (a) f (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 12) + -541 + 555 - (-6 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77))*2)\/(-2*sqrt(7)*-3).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(3\/5)*u)**(11\/6))**(-5\/9))**(2\/9) assuming u is positive.\nAnswer: u**(-88\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/5 - 321031924*g\/5 - 25765374056785444\/5 = 0. Calculate g.\nAnswer: -160515962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(0 + 2 - 5 - 2*s)*(1 + 1 - 1).\nAnswer: 4*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*o**2 + 45*o**2 + 1620*o - 23*o**2 - 2724*o in the form p*o**2 + r*o + k and give r.\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 8:47 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f**2 + 246*f - 3203. Determine u(-37).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752 times 0.4?\nAnswer: 700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + s**2 + 0*s**2)*(0*s + s - 2*s)*((0 + 1 - 2)*(-2*s - 3 + 3) - 3*s - 2*s + 4*s).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((8\/6)\/(-2))\/(-19 - -21). What is the smallest value in 2\/5, m, -0.3, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1603250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(13) + 1)) + -1 - sqrt(13)) + -4)**2.\nAnswer: 12*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umusixxusmmlxxs. Give prob of picking 2 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010132130 (base 4) to base 14.\nAnswer: 74300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxvtso. What is prob of picking 1 s and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, -1, 7266, -3, 5 in decreasing order.\nAnswer: 7266, 21, 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-8)\/(-4))*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1852 - -1852. Solve -9*q + z = -9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*t**2 + 12*t + 34\/3.\nAnswer: 2*(t + 1)*(t + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41848*r + 41838*r - 83629*r.\nAnswer: 57*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let z(w) = 9*w + 15. Let s be 90*((-160)\/30)\/(-8). What is s*a(x) + 4*z(x)?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168614 divided by 2.\nAnswer: -84307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24220 + 12107 + 0*p - p + 12098.\nAnswer: -p - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**4\/6 - 47*p**2. Let y(k) = -9*k. What is c(y(b))?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/30 + 27*a**2. Let u(j) = 8*j**2. Determine u(x(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 364.22 + -306.2. Round f to 0 dps.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)*q*q*q\/((q**(1\/5)*q)\/q))\/(q*q\/(q**0*q*q))**(-16\/9)*(q*q*q*q\/((q**(-1\/2)*q*q*q)\/q*q))**(-44)\/(q*q\/(q*q**0*q))**49 assuming q is positive.\nAnswer: q**(-341\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34541 divided by 3?\nAnswer: -34541\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a + 3*c - 14, c = 1. Solve 2*f + 2*d + 20 = 0, -f + 3*d = 5*d + a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 12*r = 2*h - 13, 0 = 4*h - 5*r - 21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 338 = -34*v. Let a(w) = -64*w - 255. Is a(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s + 2*a, -5*a = -0*s - 2*s. Let f be (-4)\/s - (-18)\/5. Let y be (-3)\/12*(5 + -225)\/5. Solve -5 = -f*t + y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l - 60. Let c be k(7). Solve 2*a + 2*a - c*n = 0, -5*a - 4*n + 31 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**3 + 4*d**2 - 4*d + 3. Suppose 78 = -1311*k + 1313*k. What is the remainder when g(2) is divided by k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m - 27 = -49 - 257 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0568704702 to six dps.\nAnswer: 0.05687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -213 + -4214?\nAnswer: -4427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, 2\/3, -1\/3, 25.51, -443\/4, -0.2?\nAnswer: 25.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 - -85.2. What is the biggest value in w, -0.3, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p + 162. Let r be q(15). Put r, -236, 4, -2 in decreasing order.\nAnswer: 4, -2, r, -236","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 146.798. Let h = -0.048 - a. What is h rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942320 is divided by 94231?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1349122, 1349074, 1349026?\nAnswer: 1348978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 2. Let p be (-2)\/12*h\/4. Let k = -9.7 + 10.1. Put -3, k, p in ascending order.\nAnswer: -3, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*s**2)*((0 + 0 + s)*(-1 + 4 - 5) + 60 - 60 - 36*s).\nAnswer: -76*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81106822 to the nearest integer?\nAnswer: 9006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + (-38 - -74 - -1).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16\/6 - 3)*(-8 + 11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**4 + 10*v**4 + 3*v**4)*(0 + 0 + 1)*(-3 + 0 + 2).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/10 - 92\/(-20). Suppose -3*s = 4*r - 109 - 14, -2*r + 78 = -v*s. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 13*p + 183. Calculate the remainder when h(0) is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b - 70*b = -144 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23696368, -23696365, -23696362, -23696359, -23696356?\n\"Answer: 3*c - 23696371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 3*q + 2*q + (-1 + 6*q - 3*q - 4*q)*(2 - 2 + 1).\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 11*d**4\/4 + d**3\/3 + 3*d**2 + d + 84. What is the second derivative of v(k) wrt k?\nAnswer: 66*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*s - 3*s + 9 + 309*s**2 - 10 - 3 - s wrt s?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*k**4 + 7077051*k**3 + 7871100*k**2 + 793728*k = 0.\nAnswer: -1, -12\/107, 0, 22048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -13. Let v = -0.3 + 0.2. Which is the closest to 0.1? (a) -2 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26316015431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-21)*1*(-6)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 559993 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 19*i**2 + 10*i + 98. Determine s(18).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -b + 2*v, -v - 2 - 1 = -b. Let c be ((-8)\/10)\/(9\/10). Are b and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6354 divided by 6.\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 2:18 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (-30)\/9)*-9. Let q be 2\/4*(4 + b)*10. Suppose 0 = -c - q*k + 8, c + 2*k + 1 = -3. Which is smaller: c or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (2 + 0))*2. Let t be 6\/(5\/((-5)\/h)). Suppose -6*i**2 - t*i**4 + 5*i**3 - 1\/2 + 3*i = 0. What is i?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/7))**3*((t*t*((t**13*t)\/t)\/t*t)\/t)\/(t**(-29)\/t) assuming t is positive.\nAnswer: t**(326\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 663 = -1909. Suppose 0*q - q = 52. Let f = u + q. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 8) to base 2.\nAnswer: -1100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43964841 and 7221?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4790 or -4793?\nAnswer: -4790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) -160 (b) 5 (c) -178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 3.5. Let n = 18.74 - 13.74. What is the closest to 0 in d, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 10, k: 1, u: 3}. Give prob of sequence uky.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/21 + -52\/105. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -594432 + -192122. Let d = -188365 - o. Suppose 4*j + 113811 = -d. What is j rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (184\/60 - 3)*3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/12*-2*3. Let j = -12 - q. Suppose 37*r - 83 = 176. Solve -j - r = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6075.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67, 75, 87, 103?\n\"Answer: 2*z**2 + 2*z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-1617)\/14)*-138*406\/348?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/66*(-663)\/(-2). What is the hundreds digit of -1 - -2 - 17\/(m\/5980)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -277 + 305 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49707789 and 11835?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.1 + 0.1. Let f = 5.1 + n. Let p = -7 - -11. Which is the closest to -1? (a) p (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*r = -116*r + 2210. What is the remainder when 334 is divided by r?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165413, 332162, 498911?\nAnswer: 665660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 + 27 + 29)*(3*p**3 - 7*p**3 - 32*p**3) to the form l*p**3 + a*p + f*p**2 + z and give l.\nAnswer: -2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793656138 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1781980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(180)*4)\/(sqrt(10) + (2*sqrt(70))\/sqrt(7)) + -5 + -3 + -3 + sqrt(24)\/(-1*sqrt(12)) + -1.\nAnswer: -12 - 14*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence booo when four letters picked without replacement from {b: 2, o: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**4 - 8*j + 8*j + j**4 + 3*j**2 - 3*j**2 + (-2 + 4 - 4)*(0*j**4 + 0*j**4 + 2*j**4) to u*j**2 + x*j**4 + o*j**3 + k*j + b and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24111*o**2*v*z**3 + 1263*o*v*z**3 - o*z**3 - 2*v + 2*z**3 + 1 wrt o.\nAnswer: -48222*v*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -2\/19, 13, -1\/7, -3\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*l + 3*i + 4, -i = -5*l + 20. Let k(a) = -6 - l*a + 4 + 9. Is k(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-30)*-18*(-10)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = -3*q. Let y = -8 - q. Factor 2\/3*d**2 + 0 + y*d.\nAnswer: 2*d**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + x + 2 = 0, 4*x - 7 = 5*a - 1. Factor -1\/5*z + 3\/5*z**a - 2\/5.\nAnswer: (z - 1)*(3*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 4095.\nAnswer: -4094.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -3) + (-24 - (-43 - -25))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*u - 2*u - 52 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 32, 2, 5\/2, 3, -106, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1*s)\/s)\/s*s)**6\/((s*s*s**(3\/4)*s)\/(s*s**(-2\/5)*s*s)) assuming s is positive.\nAnswer: s**(97\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0*l - 52 - 2*l + 51. Let x(q) = -2*q**2 + 6*q. Let z(m) = -m**2 + 4*m. Let p(a) = 4*x(a) - 6*z(a). Calculate b(p(y)).\nAnswer: 4*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -46.94. Which is the closest to -0.1? (a) k (b) -1 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l**2 - 102*l. Let a(s) = -5*s**2 + 34*s. Give -8*a(b) - 3*p(b).\nAnswer: -2*b**2 + 34*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + 106 + -107 + -58?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 605*n**3 + 29865*n**2 + 10800*n + 980.\nAnswer: 5*(n + 49)*(11*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1, 56\/3, 0.4, -1, -110\/23?\nAnswer: -110\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 6. Let p be d(11). Suppose 0 = -p*f + 82 + 13. Calculate the remainder when 56 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 3, 254\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-108)\/(-10) - (-4)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/12 - w**3\/6 - w**2\/2 + 2*w. Let f be 0 - 0 - (-2)\/(-2). Let z be o(f). Put -5, z, -1 in decreasing order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t - 17 + 39 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.1. Let y = -259 + 263. Suppose -2*d + 2 = 8. Which is the second biggest value? (a) i (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*y + 2*y - 24 = 0, 2*n + 6 = -2*y. Let u be (-1)\/(-3)*3*-1. Sort u, 3, n.\nAnswer: u, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 78. Suppose o*v = k - 7 + 97, 5*v - 65 = -4*k. Suppose 0 = -w - 7 + v. Calculate the remainder when 57 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 + (5 - (3 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, o: 1, s: 2, q: 4, b: 1, z: 5}. Give prob of sequence occ.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-9)\/2 + 4). Suppose 0*r = -2*o + 2*r + 4, f = -5*r + 25. Let v(l) = l**2 - 7*l - 2. Determine v(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, o: 2, d: 4}. Give prob of picking 1 o and 3 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14213142 + -146?\nAnswer: -14213321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(104)\/(-2*sqrt(8)) + 3.\nAnswer: sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*j + 422 = 0, -6*j + 417 = 4*x - 3*j. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 10*h**2 - 6*h - 11. Let y(k) = -2*k**2 - k - 2. Let r = 23 + -26. Let v = 1 + r. Determine v*o(l) + 11*y(l).\nAnswer: -2*l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (6 - (-1 - -3)). Let h = 15\/2 - 8. Let w(j) = -j + 1. Let o be w(-1). Which is the nearest to 0? (a) v (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 6*i = -21*i + 1989. What is the smallest common multiple of i and 429?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198306531 - -198306447.999937. Let x = 109 - 192. Let q = f - x. What is q rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6*h*(h*h**5)\/h*h)\/(h**6\/h*h**(-7)) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -378\/103 greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-40))\/((-1)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-24)*(4 + 0). Suppose 19 = 3*o - x. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837.\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 54753, -1, -116 in decreasing order.\nAnswer: 54753, -1, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:05 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23399.79941 rounded to the nearest ten?\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 17*b**2 - 2. Let o(k) = -k**5 + 11*k**3 - 86*k**2 + 11. Let q(f) = 11*i(f) + 2*o(f). Find the third derivative of q(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -9 - -11 - 7 - 39.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 2\/19, -139, -9921?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(17)*-3 + 5)**2 + 4 - (-6*(sqrt(85)*-3 - sqrt(85)))\/sqrt(5)) + -1.\nAnswer: -54*sqrt(17) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84254*5.\nAnswer: -421270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -550114?\nAnswer: -550111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 263*q - 784 - 4210 = 0 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1243 and 22.\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 3, -8, -3, 5 in increasing order.\nAnswer: -8, -3, 3, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/6 or -623.8?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 4*v + 2. Let r be 2\/(-6) + (-29)\/3. Let c = r + 14. Suppose -5*k + 1 = -x - 3*k, -c*k - 1 = -x. Calculate f(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 952\/(-24) - (-1)\/(-3). Let t be (-2)\/11 + o\/22. Let u be ((-4)\/(-5))\/((-2)\/(-10)). Sort -4, t, u in descending order.\nAnswer: u, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 4, 0, 1287, -7.\nAnswer: -52, -7, 0, 4, 1287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -2\/3*t**3 + 4\/3*t**2 - 1\/15*t**6 + 1\/126*t**7 + 0 + 7*t + 11\/60*t**5 - 1\/18*t**4. Let u(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 19*x - 134 - 96. Solve -x*i - 5*y = -37, -3*i - 6*y + 27 = -3*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1781510170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**4 + 3*b**2 - 10*b**4 + 2*b**5 + b**4 + 0*b**5 - b - b**3.\nAnswer: b*(b - 1)**2*(b + 1)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 60 + 9*r - 104 - 7*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(70))\/sqrt(10) - ((sqrt(847) - -2*sqrt(847) - sqrt(847))*-3)**2.\nAnswer: -30492 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 83268.565 to the nearest ten.\nAnswer: 83270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**4 + 30*c**3 - 69*c**2 + 71*c - 27. Let s(n) = -2*n**4 + 3*n**3 - 1. Let l(x) = 2*k(x) - 6*s(x). Factor l(j).\nAnswer: 2*(j - 1)**3*(j + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1484 and 30492?\nAnswer: 1616076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:58 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10603, -10528, -10483, -10474, -10507, -10588, -10723?\nAnswer: -10918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -3, 246?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:42 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 742\/8533 + (-834)\/69?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 16*v**2 + 11*v + 20. What is r(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8033.684 grams?\nAnswer: 8033684000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -33. Suppose 0*x + p*s + 10 = x, 3*x + 4*s = 62. What is the highest common divisor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/440*5)\/((-33)\/(-44))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334148, -668297, -1002446, -1336595, -1670744, -2004893?\nAnswer: -2339042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from nnneeenennnen?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9)*(x\/(x*x*x\/(x\/(x*x\/x**(-2\/7)))*x*x))\/x)\/(x*(x*x**1*x)\/x)**(-1))\/(((x*x**0)\/x)**(-2\/85))**(-2\/11) assuming x is positive.\nAnswer: x**(-221\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -136 and 0.2.\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7144 + 7136 - 21416 + 15*n + 7136.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/4 + 164*v**3 - 52911*v**2\/4 + 74974*v + 1531360 = 0?\nAnswer: -8, 16, 85, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -667 + 1005. Let m = g + -348. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) 0.3 (c) -6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9062915, -18125805, -27188695, -36251585, -45314475?\n\"Answer: -9062890*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -77, -78, -81, -86, -93, -102?\n\"Answer: -v**2 + 2*v - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31889 is divided by 156.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1246*h*t**2*u + 355*h*t + 3*h*u + 3*t**2*u + 3*t**2 - t*u - 2*t wrt t.\nAnswer: -2492*h*u + 6*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**3 - 3*r - 4. Let y(f) = -9*f**3 + 5*f + 7. Let a = 49 + -52. Determine a*y(w) - 5*k(w).\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808157?\nAnswer: 7, 16493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-33)*x*x**(-7))\/(x**(-17\/2)\/(x**(2\/37)*x)) assuming x is positive.\nAnswer: x**(-2179\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2151 - -86043\/40. Let p(v) be the first derivative of h*v**5 + 0*v + 1\/8*v**3 - 3\/16*v**4 + 0*v**2 - 3. Factor p(j).\nAnswer: 3*j**2*(j - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8071 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uoxxxxxtouuxoxxxxxo. What is prob of sequence tuxu?\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -6464.\nAnswer: -9\/3232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -128?\nAnswer: -11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 21*l**2 - 92*l + 19. Let o be m(15). Let b = -78 - -114. Let a = b + o. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2. Let d(z) = 2*z**2 + 4*z**3 + z + 3*z**2 - 5*z**3. Suppose 4*h = -1 + 5. Calculate h*d(k) - 5*p(k).\nAnswer: -k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*(14 + -22 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**2\/2 - 3*v - 4. Let r(c) = 4*c - 4. What is 5*o(i) - 4*r(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*n - 6*c + 50, -n - 3*c + 20 = 0. Let b = n - 11. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 604842479 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 550 + 7?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-4)\/(a*(a\/a**(2\/9))\/a)**(1\/24) assuming a is positive.\nAnswer: a**(-871\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 816\/510*(-105)\/308 - (-632)\/(-11).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 1771056*p + 261386612928.\nAnswer: 3*(p + 295176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -62. Calculate the greatest common factor of d and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 1189.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249579697 to the power of 1\/2, to the nearest integer?\nAnswer: 15798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -151, -163, -47, 239?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - a**3 + 1)*((-2*a + 0*a + 3*a)*(3*a - 3*a + a) + 4*a + 3*a**2 - 4*a + 4*a**2 + 6*a**2 - 6*a**2 - 3*a**2 + 4*a**2 - 2*a**2).\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*p*p**3*p)\/p))\/p)\/p**(-5\/8))**(-4) assuming p is positive.\nAnswer: p**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -5 + 3 + 0 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5 - 14. Let i = 3.83594 + 0.16406. What is the third smallest value in -1, i, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-40)*-2)\/(2\/((-160)\/(-12))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20\/29 + -2\/87. Which is the second smallest value? (a) u (b) 0.04 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -37, -8, -4, -3 in descending order.\nAnswer: 2, -1, -3, -4, -8, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, 0.011079 in descending order.\nAnswer: 1, 0.011079, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 908, 1748, 2412, 2810, 2852, 2448, 1508?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*z**3\/3 - 143*z**2\/3 - 106*z\/3 + 8\/3.\nAnswer: -(z + 1)*(z + 4)*(29*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-450)*1*-6*-1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 14*l - 9*l - 8*l + 43*l - 7*l.\nAnswer: 5*l + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let i = g + 7. What is the common denominator of 2 + -3 + 70\/i and 25\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0 + 0 - r**2 - 5*r**3. Let k be q(-1). Suppose k = 4*p - 3*p. Solve 0 = y + p*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34 + (-19 + 18)\/((-3)\/(-24)). Solve -36 = 2*i - j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**3 + 587*u**2 + 18*u - 926. Let j(l) = -l**3 - 2*l**2 - 3*l. Let r(i) = 6*j(i) + k(i). What is the derivative of r(t) wrt t?\nAnswer: 9*t**2 + 1150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5*l**3 - 2983694*f**2*l - 5*f*l**3 + 56*f*l**2 - 22*l + 1 wrt f?\nAnswer: 20*f**3*l**3 - 5967388*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**3 + 3*a**2*w**2 - 1920*a*w**2 - 6*w**2 + 6*w - 1 wrt a?\nAnswer: -3*a**2 + 6*a*w**2 - 1920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 821747*r. Let z(a) = -a. Determine z(c(o)).\nAnswer: -821747*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14777154 is divided by 7524?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -221, -423, -599, -743, -849, -911?\n\"Answer: a**3 + 7*a**2 - 230*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 979 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*l + 7, 0 = p - l - 9 - 2. Suppose 0 = -7*i - p*i + 130. Let w(s) = s**2 + 2*s + 4. Let u be w(-3). Solve i = u*k - 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 19*m**4\/24 - m**2 + 23. Let o be l(0). Put -14, 2, o, 4 in descending order.\nAnswer: 4, 2, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -5, 2, 1\/5 in descending order.\nAnswer: 2, 1\/5, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 + 69*t - 138. Determine h(-18).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 70, -136, 2, -5, 3, 5 in decreasing order.\nAnswer: 70, 5, 3, 2, -2, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (13 + -11) - (2 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 992039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -35*j + 6. Solve -6 = -w + 2*l, 5*l = 2*w + j*l + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(832) - (4 + sqrt(832))) - (1 + 1*sqrt(832))).\nAnswer: -8*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2921378 millilitres to litres.\nAnswer: 0.0002921378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Let u(x) = -3*x - 2. Let c(q) = -6*m(q) + 3*u(q). Let z(h) = -4*h**2 + 2*h**2 + h**2. What is z(c(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:05 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 700 = -6*x. Find the first derivative of -2*r + x*r**2 - 178*r**2 - 173*r**2 - 24 wrt r.\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 327.2283 millennia to years.\nAnswer: 327228.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1101071 divided by -1\nAnswer: -1101071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10215, 81437, 274757, 651225, 1271891, 2197805, 3490017?\nAnswer: 5209577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 - 14*r**2 + 3*r**2 + 27*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -14, -2\/2655, -0.3, 1 in ascending order.\nAnswer: -14, -0.3, -2\/2655, 0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -2 - (-41 + 32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)*y)\/y**(1\/5) assuming y is positive.\nAnswer: y**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171 - -168. What is the smallest value in -0.1, -1\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -735786884 - 22747\nAnswer: -735809631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 12. Suppose 0 = -5*q + y. Let v = 4 - q. Solve v*n - 18 = -5*h, 9 = 2*n + n + 2*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -234797 (b) -0.1 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 8 - 9*h**4 + 2*h**2 + h**2 - 4*h**2 - 5*h as j*h**2 + i*h + u*h**3 + o + r*h**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -4*m + 595. Suppose -3*l + m = 850. Find the common denominator of -57\/10 and l\/(-32) - (1 + 2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 + 736 = -458*c - 2383 - 1130 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 17*m = 54. Let z be 20\/70 - m\/14. Which is the smallest value? (a) -0.04 (b) z (c) 2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 16.5. Let v = -322 + 323.4. Let i = v + y. What is i rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9 and -21?\nAnswer: 39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*a*t**2 - 2*a*t + 2*a + 6*t**4 - 29*t wrt t.\nAnswer: -36*a + 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.72 - -377.28. Let x = j + -382.43. Let t = x - 2.57000254. Round t to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f*(f*f**24)\/f)*f*(f*f\/(f*f\/((f*f\/(f\/(f\/f**25)))\/f)))\/f*(f**0)**(-1) assuming f is positive.\nAnswer: f**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a minute in seconds?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 727 - 720. Let u(a) = 5*a - 26. What is u(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b + 5. What are the prime factors of d(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.78, 1\/4, -3, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153449020 a multiple of 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -502226*p + 449196?\nAnswer: -502226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/5))**(-19)\/(h**7*h**(-15)))**(1\/47) assuming h is positive.\nAnswer: h**(-36\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3.864617 * 2\nAnswer: -7.729234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**2 + 743*w. Let k(q) = -q. What is d(k(o))?\nAnswer: -7*o**2 - 743*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -668.\nAnswer: -667.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 10, b: 7, p: 1}. What is prob of picking 2 x?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.96 at most -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39459465?\nAnswer: 3, 5, 17, 51581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = -3195. Suppose -q = 13*y - 16*y. List the prime factors of y.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 times 192\nAnswer: 35904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.3. Let k = -587\/4 - -147. Suppose -284 + 280 = 2*j. Which is the biggest value? (a) k (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1, 15, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 - 2*h + 4. Let q = -83 + 83. Suppose -5*a - 4*s = s + 15, -4*a - s - 12 = q. What is g(a)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 4 in ascending order.\nAnswer: -0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254309.8 seconds to milliseconds.\nAnswer: 254309800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2119*c*r**3*z + 1438*c*r**3 - 4343*c*r**2 - 24*c*r*z + 51*r*z wrt z.\nAnswer: -2119*c*r**3 - 24*c*r + 51*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -1 + -1)*4410\/10 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 10. Let v be t(-7). Suppose 0 = 2*g + v*g. What is the biggest value in -0.5, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (28 - 32) + -3 + 15.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.24*-3.67\nAnswer: 4.5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 5*w - 10. Let l be c(7). Suppose l*m = 6 + 2. Let o(k) = -k**2 + 6*k + 1. Let p be o(4). Solve n = 4*a - 3, -a = n + m*n + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1234*g - 1142 = 663*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.1, -107\/199, 2, 13, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {z: 1, a: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from snsnkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 37*f - 328*f**2 + 328*f**2 to c*f + m*f**3 + w*f**2 + b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 399\/12 - 1\/4. Suppose -4*r + r = -l. Let w = r + -4. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 26337?\nAnswer: 26344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 594179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 816094200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, b: 6}. What is prob of sequence tbt?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -0.3. Let m = -0.19 - -0.28. Let g = -0.41 - m. Which is the third smallest value? (a) g (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-7)\/(-21))\/(3724\/(-735)))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*q + 4449, 37*s = 41*s + 2*q - 5920. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (671 + 2*b**4 - 15*b**3 - 671)*(-b + 4*b - 2*b).\nAnswer: 2*b**5 - 15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47269733 is divided by 2363486?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/(2\/(-6)). Suppose y + x = 3. What is the derivative of 6 + 3*z**y + 0 - 4 wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30895000, 30894995, 30894978, 30894943, 30894884, 30894795, 30894670?\n\"Answer: -y**3 + 2*y + 30894999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*h + 33 = -60*h. Suppose 14*f - 8 - 6 = 0. Solve 4*u - 7 = w + f, 0 = 4*u - h*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = -51. Suppose -v*j = -25*j + 10. Suppose 0 = j*g + 2*b - 46, g + 2*b + 1 - 25 = 0. Solve 2*o + u = 11, -5*o + g = -2*u - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 2*n = 5*h + 20, -n = -3*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f - 16*f - 13*f to the form g*f + j and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 146116 take away 298?\nAnswer: 145818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.5 and 3225359?\nAnswer: -14514115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iioioooooioiii. What is prob of sequence io?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6277? (a) -2 (b) 2\/5 (c) -0.3 (d) -2\/7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqdqqdqqdqdd. Give prob of picking 1 d and 1 q.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueie when four letters picked without replacement from {e: 11, i: 1, u: 2}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 16. Suppose -2*v + 1 = -v - 5*g, -v + w*g = 0. Put v, 6, 2 in decreasing order.\nAnswer: 6, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6194194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-20)*(-2)\/5*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 43571136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a = -2*u - 206, -4*a - 2*a + 4 = 22022*u - 22027*u - 4*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16691\/5070 + -114\/169. Calculate the common denominator of u and (-11)\/(-2) - (-6720)\/(-288).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:04 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (8 + 3 + -3 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1001141.583 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14699509 divided by -2\nAnswer: 14699509\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 1604?\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3317*w**3 + 149*w + 5 wrt w.\nAnswer: 19902*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/24 and -3\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -15\/13, 0.1 in descending order.\nAnswer: 0.1, -15\/13, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = -3*z. Solve -u + z*u - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4993.975 + 5055. Let p = 0.025 - s. Let c = 61.00000039 + p. Round c to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 108646606, 108646608, 108646610?\n\"Answer: 2*c + 108646604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406 (base 10) in base 13?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/24 and 753\/(-630) - -6 - (-8)\/(-14)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234578596.\nAnswer: 2, 31, 9956279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/4 - -19\/12. Let v = 0.9 + -2.9. Put -1\/3, n, -5\/2, v in descending order.\nAnswer: n, -1\/3, v, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 315 = 2*p. Let y be ((-32)\/(-10))\/((-6)\/p). Suppose 2*k + z = y, -4*k + z + 57 = -43. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y = -15. Suppose -y*a - 3*v = -v + 1, -18 = -a + 3*v. Let n(q) = q + 1. Calculate n(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 9 - (-36 + 27) - (-27 - 1)) + -8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0*p**3 + 3*p**2 + 0*p - 1\/12*p**4 + 0. Let d(k) be the first derivative of 2*k**2 - 4. Calculate q(d(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 12*k - 21. What is the common denominator of (-45)\/2 + 6\/(k - 6) and ((-791)\/(-28) - 0)*2\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*d**3 - 52*d**3 + 21*d**3 - 14*d**2 + 5*d - 3*d to n + g*d**2 + z*d**3 + f*d and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:31 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + -1 + sqrt(13) + -2) - (sqrt(143)\/(-1*sqrt(11)))**2*3.\nAnswer: -33 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((1 - 0) + 1) - (20 + -26)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2269 + 2337. What is the remainder when 608 is divided by l?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/18764376 - -4060170003575\/206408136. Suppose -112721 + 34053 = -4*w. Let y = d - w. What is the common denominator of y and -23\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + (0 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8724*u. Let y(r) = 2*r**2. Give w(y(k)).\nAnswer: -17448*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79, 72, 51, 10, -57, -156?\n\"Answer: -f**3 - f**2 + 3*f + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(sqrt(500) + 1*sqrt(500) + 1 + -1*sqrt(500)*6 + sqrt(500))**2.\nAnswer: -120*sqrt(5) + 9002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9960473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*j + 17 = 0, 30 = -3*z - 5*j + 59. Suppose 3*l = z*w - 901 + 22, 2*l - 1472 = -5*w. Does 48 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 7:35 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(288) + 3)**2 + sqrt(288) - sqrt(20)\/(sqrt(10) - (sqrt(30)*-1)\/sqrt(3))).\nAnswer: -1490 - 835*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1227, -1140, -1053, -966?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 13743*l - 96152.\nAnswer: -(l + 7)*(l + 13736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5886007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/5 + 74*u**3\/5 + 182*u**2 + 3718*u\/5 = 0 for u.\nAnswer: -13, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 19 + -8 + 12 + -2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-1\/2))\/h)**(-34)\/(h\/(h*h**(2\/5))*h\/h**1) assuming h is positive.\nAnswer: h**(-253\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 6*b**2 + 2. Let j be t(6). Let u(l) = -3 + 2 + j - l. Let i(k) = k**2 + 2*k - 5. Suppose -5*r + 1 = c + 10, -3 = 3*r. Calculate c*u(p) - i(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12506088779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12*5\/(-80)*(-68)\/(-51))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*a**2 - 1310\/7*a + 429025\/7 = 0. What is a?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 12:20 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a*d - 7685440*a + 19700244*d - 20 with respect to d.\nAnswer: 6*a + 19700244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000056613 to seven decimal places.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 39904*k**3 - 3.\nAnswer: 39904*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjkz when four letters picked without replacement from jjkkzkjjjkk.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.6 or 368851?\nAnswer: 368851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 420114084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1507\/4 - -376. Suppose -8*v = -9*v. Let r = 1.01 - 1. What is the second smallest value in k, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*a - 13 + 38, 5*w = -5*a - 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46410 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14409733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -4*m**3\/15 - 30*m**2 - 296*m\/5 + 7181. Determine x, given that o(x) = 0.\nAnswer: -74, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 1, n: 1, h: 1, k: 3}. Give prob of picking 1 n and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, r: 2, x: 2, w: 1}. What is prob of sequence wj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + (-88 - 5) + 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*n, 3*n - 2*b - 19 = -2*n. Is 230\/n - (-3)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from yyoohoydyyoofhoyyyy?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30002212 (base 4) to base 12\nAnswer: 2465a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 467, 744, 1011, 1262, 1491?\nAnswer: 1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 25. Calculate the remainder when 13 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-561)\/374 + (-84)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997 is divided by 54.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1)\/(133\/(-19)). Suppose n = -94*c + 106*c - 564. Calculate the remainder when c is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 142 - 147 - (-1 + -1811). Let r(g) = 285*g**2 + 267*g**2 - o*g + 1807*g. Let w(x) = -2*x. Give r(w(c)).\nAnswer: 2208*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 0*c**2 - c**2 + 6*c - 9 to n*c + j*c**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjjmmmvmwmajajwmm. Give prob of sequence jmwa.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047096 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, 1\/2, -19 in decreasing order.\nAnswer: 1, 1\/2, 0.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258020541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 300 = 3*v. Find the common denominator of (-2 - v\/(-39))*-25 and 38\/22 - (-22)\/(88\/(-20)).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24601 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 10:16 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + 2*f**2 - 2*f - 4. Let j(l) = 52*l + 1615. Let t be j(-31). What is n(t)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760409 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6500*u - 3251*u - 108 = 4*h + 3245*u, 3*u = h + 27 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -266.131447 to the nearest integer.\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 1)*-1 + sqrt(8)*2)**2 + sqrt(10)\/(sqrt(450)\/sqrt(10)).\nAnswer: -17*sqrt(2)\/3 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/((-3)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1350)\/72*(-12600)\/2250.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 6, 8, -723, -1\/8, -5 in ascending order.\nAnswer: -723, -5, -1\/8, 6, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 4.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*i - 90*i - 63*i + 870 + 0*i**2 - 2*i**2 + 4*i**2.\nAnswer: 2*(i - 87)*(i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 - 9 + 6391*k**3 - 9 - 6389*k**3 - 6*k in the form u*k**4 + w*k**2 + b*k**3 + y + t*k and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*k - 19*k - 360 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.5 + 20. What is the closest to -0.1 in -0.13, w, 0.1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -70*l - 107. What is the remainder when q(-3) is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from {a: 1, x: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 89\/2 of a minute?\nAnswer: 2670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*140\/(-105). Let m = 0.6 + -0.7. Put 1, -0.3, a, m in increasing order.\nAnswer: a, -0.3, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*g**3*n**2 - g**2*n**3*q - 829*g**2*q + 470*g*n**2*q - g*n + 3*n**3*q - n**3 wrt g?\nAnswer: 84*g*n**2 - 2*n**3*q - 1658*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35371726 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-5)\/((-50)\/(-6))*-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/((s*(s*s*s*(s*s**(2\/5)\/s)\/s)\/s)\/s))\/s*s*((s*s**1)\/s)\/s*s)\/(s**2\/s)**(-2\/21) assuming s is positive.\nAnswer: s**(178\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19192 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*j - 5*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwzzwzzzwzzz. Give prob of picking 1 z and 2 w.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -42. Solve 0 = 3*b + 4*t + 11, -b + 6*b + 5*t + i = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 4690*y**3 + 14100*y**2 + 14110*y + 4705.\nAnswer: -5*(y - 941)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -1. Let u be (p\/5)\/(3\/(-30)). Let h(x) = -4*x**3 - 3*x**2 - 2*x - 3. Let t be h(-3). What is the greatest common factor of u and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*r**6 + 403669*r**4 - 2*r**2 + 9061578*r + 1 wrt r.\nAnswer: -1440*r**3 + 9688056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/297666 and -34\/19389.\nAnswer: 83644146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-4)*1 - 10\/(-8). Suppose c*s - v - 267 = 0, 0 = 5*v - 24 - 1. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1297 - -1303. Solve 2*y + 2*t = d*t + 26, 0 = -2*y + 5*t + 31 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + (-10 - 0) + -9 - (-17 - -11).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 53) + (2 - 39) + 10?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 5 - 0) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 118568482 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -1785?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -6, 5, 3 in descending order.\nAnswer: 5, 3, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f + 7*f + 1 - 4*f - 2. Let r(x) = -5*x + 1. Give 3*k(p) + 5*r(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:33 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/(-87) - 1\/(6\/3800). Let i = t - -3044. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -682, -1524, -2854, -4672, -6978, -9772?\nAnswer: -13054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*j + 132*j + 212*j in the form g*j + l and give g.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r + 4*r**2 - r**3 + 7 - r**2 - 10*r**2. Let a be y(-8). Let o(k) = 1213*k**2 + 3*k + 3. Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804298.\nAnswer: 2, 11, 36559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -638, 2 in ascending order.\nAnswer: -638, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**4\/7 - 4*r**3\/7 - 2*r**2\/7 + 4*r\/7 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -2. Let u(g) = g**3 + g + 1. Let c(v) = 3*v**3 - 10*v**2 - 2*v + 13. Let p(b) = q*u(b) - c(b). List the prime factors of p(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 845124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.277 and -880?\nAnswer: 887.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -35, -1, 3 in descending order.\nAnswer: 3, 0, -1, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 20, -15 in decreasing order.\nAnswer: 20, 7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -81*u**2 - 4*u + 6560. Calculate the remainder when l(0) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*o = -25, 3*m + 10 = 5*m - 3*o. Let r = -3 + m. Suppose -39 + 13 = -r*x. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 0*p**3 + 2*p**3)*(-2 + 0 + 0) + (-2*p + 2*p**2 + 2*p)*(2*p - 3 + 3).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(0 + (sqrt(605)*2 - sqrt(605))**2) - ((1*(sqrt(5) + 2))**2 + sqrt(1715)\/sqrt(7))) + -5)*5.\nAnswer: -18220 - 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g + 3*y - 36, -2 = 3*g - 5*y. Calculate the least common multiple of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13824 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -41. What is the nearest to v in 2, 5, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + y - 2. Let r be c(1). Suppose 5*f = -3*w + 38, -f + 1 = -4*w + 21. Let p = 291 - 286. Put w, r, p in descending order.\nAnswer: w, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -481 bigger than -41924\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 3*s - 237894, -5*s = -3*i + 142714. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**4\/6 + 5*t**3\/6 - 3*t**2\/2 + 64*t. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880451.9 years in millennia?\nAnswer: 880.4519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1636071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 1:42 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11101111101 (base 2) to base 14\nAnswer: 9ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4, -3*l + 40580 = 3*r - r. Suppose 5*z - 21202 = w + 80299, -z - 4*w = -r. What is z rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 885.7, -4, 2, -5?\nAnswer: 885.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-27)\/(-3))\/(6\/(-4)). Let a(n) = -8*n - 6. Let d(y) = 4*y + 8 + y + 2*y - 3. What is l*d(r) - 5*a(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*f**3 - 77*f**3 + 287*f**3.\nAnswer: 404*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + 131?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/7 + 26598*b**4\/7 + 1061904*b**3\/7 + 15706336*b**2\/7 + 101847552*b\/7 + 244389888\/7 = 0. What is b?\nAnswer: -13259, -12, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtvvvvvlelvvv. Give prob of picking 1 t and 1 l.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -5 + -27 + 18.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - -11. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 4*l + 3. Let d be 8\/(-12) - 52\/(-6). Let h be r(d). Suppose 53 + h = 4*j + 2*z, 5*z = -4*j + 94. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 3.73.\nAnswer: 1.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2. Let t(c) = c**3 + c**2 + 21*c. Calculate -t(a) - 3*x(a).\nAnswer: -a**3 + 2*a**2 - 21*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - 6*sqrt(28)\/sqrt(2))\/(sqrt(200)*-1).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85349613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2076 + -1992. What is the greatest common divisor of 476 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17784 and 354288402.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 3*y**2 + 16 + 6*y**2 + 3*y - 28*y**2 - 2*y in the form w + p*y**2 + v*y and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 8 - 2*n + 1\/2*n**2. What is g(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10010 and 32370.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -185, -533, -869, -1199, -1529, -1865, -2213, -2579?\n\"Answer: -c**3 + 12*c**2 - 377*c + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*q - 0*q + 4*w, -5*w - 25 = 0. Let n = q - 0. Suppose 4*s - 15 + n = 0. What is the remainder when 3 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Suppose -25 = -j - 4*j + 3*i, -j = -5*i - 5. Suppose 2*r + 6 = -0*d - 4*d, d - 15 = j*r. Let v(s) = d*s + 0*s + s. Calculate o(v(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-131)\/17816)\/(13\/(-104))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 192*j**2 + 2*j - 1. Let s be n(1). Suppose 5*k - v - s = 0, -2*v + v - 3 = 0. Factor 6*a**2 + 8*a**3 - 36*a**4 + 3 - 8*a - 11 + k*a**4.\nAnswer: 2*(a - 1)*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 3*u**4 + u**3 + 8*u**4)*(-5*u + 3*u - 3*u).\nAnswer: -45*u**5 - 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30718171 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 9*f**2 - 10*f + 1. Let n be l(-8). Suppose 2*s + 4*q = 3*q + 34, -s - 2*q + n = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*2592\/(-576). Let d be 0 + 0 - (0 - -2). Sort u, 17, d in decreasing order.\nAnswer: 17, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24168 and 2226?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/504)\/(-37)*77\/22\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3 - (9 + (-5048)\/416)) - 6\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2 (b) 4 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/21)\/((-3)\/21). Suppose -5*y = 32 - v. What is the units digit of y + (-5)\/(-5) + 207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*q - 18, 0*q - q - 1 = 2*g. Let l(s) = 2*s - 2*s**3 + 3*s**2 - 5 + s**3 + 3*s**g. Is l(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150 - 5*v - 150)*(v - 6*v + v) + (3*v - v - 18*v)*(-4*v - 4*v + 7*v).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4224*w - 238988 = -61580 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**5 - 23*f**4\/4 + f**3\/3 + 2926*f - 11610. What is the third derivative of n(c) wrt c?\nAnswer: 120*c - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f, -7*f + 6*f = -3*q - 50. Let c(o) = -18*o - 10. Let z be c(q). Let l = z - 158. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 6, j: 3, q: 2, a: 1, o: 2}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 1960.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 303957 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330125 (base 11) to base 7.\nAnswer: 25352666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*p - 27 = 0, -3*k - p + 6 = 4*p. Let v be 2 - (2 + 9\/k). What is the lowest common multiple of 1 + (3 - 0)\/v and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -896 - 60. Let v = g - -955.9. Which is the third smallest value? (a) 2\/13 (b) v (c) 12 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d - 989*d**3 + 4053*d**3 + 80*d.\nAnswer: 3064*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 63825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o*v**3 - 20*o*v**2 + 507*o*v wrt v?\nAnswer: 18*o*v - 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-933*n + 18498 - 18498)*(-34*n + 2 + 1 - 3).\nAnswer: 31722*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -2*q**2 + 206*q - 3935. Let m(a) = 2*a**2. Calculate d(m(r)).\nAnswer: -8*r**2 + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -3)\/2*-9. What is the third smallest value in 0, i, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-14 - (7 - 15) - 10)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 26. Suppose -m - 2*k = b + 1, -4*m - 4*k = 4. Let h(q) = -2*q**3 - 4*q**2 - q + 3. Let r(p) = 3*p**3 + 5*p**2 + 2*p - 4. Give m*h(y) + 3*r(y).\nAnswer: y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6960 is divided by 1307?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012698096509 + 7?\nAnswer: 7.012698096509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 113759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 6*y + 15. Does 11 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 93?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 666 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 17. Suppose 0*c = 2*c + n. Let g(v) = -v - 11. Give g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8774 = -y + 2*h, 4*y - 5*h - 24171 = 10934. Round y to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 - 15*t**2 + 43*t - 107. Give d(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 22 - 8 - (-15 - 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-2)\/(-9)*(-15)\/20). Let g(x) = -x - 4. Let k(b) = 2*b**2 + 3*b - 4. What is the lowest common multiple of g(y) and k(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*4*(sqrt(612) + 1*-1*sqrt(612))*-2 + 1)**2 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (0 - (-2 - -1)). Let i be (-98)\/z*(-114)\/27. Let m = i - 103. Which is the biggest value? (a) 4\/5 (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -384*h**2 + 7*h - 14. Let m(j) = j**2 + j - 2. Give 63*m(t) - 9*w(t).\nAnswer: 3519*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-208))\/(3\/12)*(-552)\/(8\/(-2)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2543243.1 rounded to the nearest ten thousand?\nAnswer: -2540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p - 17. Let k = 11 + -3. Let d be w(k). Solve d = -3*b, 5*u = -b - b - 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let f(b) = 1703*b**2. What is x(f(v))?\nAnswer: 1703*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 22339*d. Let a(z) = -568*z. What is a(x(h))?\nAnswer: -12688552*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*i - 0*k - 898, 12 = 4*k. Is i less than or equal to -173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 5\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*v + 3. Suppose 29 = 13*a - 23. Suppose -t + 5*j = j - 29, 104 = a*t - v*j. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5 + 420*r**4 + 52973*r**3 + 1853850*r**2 + 17812476*r - 19719720 = 0 for r.\nAnswer: -186, -30, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrcrcrrrrrrrrtrcr. What is prob of sequence ctrr?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*y + 13. Suppose 0 = 2*x + 2*j, 0*x + x + 5*j + 12 = y. Let z be 8 - (3 - 4 - -5). What is the second biggest value in x, -5, z, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**5\/20 - a**4\/3 - 7*a**3\/6 + 5*a**2 + 31*a. Factor q(f).\nAnswer: (f - 5)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58836674.\nAnswer: 2, 13, 109, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Let r = -4.9 + i. Which is the closest to -2? (a) r (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3364781788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1962175 + o**3 + 1962175.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 17 = 2*a - 48, -2*f = -10. Suppose -2550 = 3*w + a*w. Let d = -239 - w. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*g - 19, 4*g - 5*j + 8 = -9. Suppose x - 6 = g. Let l = 75 + -51. Calculate the greatest common factor of x and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 177 + -179. Put y, -0.3, 3 in descending order.\nAnswer: 3, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syye when four letters picked without replacement from ppspzlppypzyzzpzepss?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*p**3 - 12 + 23 - 15 wrt p?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.148 from -21761.\nAnswer: -21760.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 - 6804*y**3 - 127268*y**2 + 947748*y - 1513800 = 0. Calculate y.\nAnswer: -1682, -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - q - 244560 = 0, 0 = -c + 7*q - 9*q + 61131. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 13321031?\nAnswer: 13321024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 2. Let w be z(-4). Let l = -2 + w. Let a be (2 + l - 2)\/2. Solve -h + 2*h - 5 = a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/2 - 18879*u**4\/2 + 17470131*u**3 - 8243366667*u**2 + 2295370294935*u\/2 - 2278918482987\/2 = 0.\nAnswer: 1, 307, 2839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15)\/((-1)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 25 + 20. Suppose 0 = -x - 78 - f. Is 0 - (4 + -3)*x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17031, 17051, 17085, 17133?\n\"Answer: 7*w**2 - w + 17025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204 a factor of 2127582544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 2*k**6\/45 - 7*k**4\/8 + 8*k**3\/3 + 24*k. Let t(f) be the second derivative of d(f). Differentiate t(c) wrt c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10065)\/(-30012)*41*(48\/10)\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and 3834.2.\nAnswer: 3834.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (14 + -4 + -28 + 20 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6982 - 6982.000006646. What is c rounded to 7 dps?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1160?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302 - 297. Solve 3*k + 1 = -2*h - 2*h, -d*h = k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -571159 + 5301159. What is x rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/((-6)\/8). Let c = 37 + -45. Calculate the remainder when 17 is divided by h\/8 + (-46)\/c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(2736)*3 + sqrt(19))**2*1 + (sqrt(931) + -4)*-4.\nAnswer: -28*sqrt(19) + 27452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -27. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in -0.064, -9, -2\/3, 3\/4?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10908563 and 0.3.\nAnswer: -3272568.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 - (-3 + 4)) - 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6079101*t**4 + 14*t**3 - 27877*t**2 - 15240*t wrt t?\nAnswer: 145898424*t + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + y - 934, -3*y - 2*y + 934 = 2*p. Suppose 337 = -5*b + p. What is the remainder when 67 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-36)\/34 - -1). Let d be q\/(-136) - 82\/(-16). Solve -d*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxjxxjixxxxxij. Give prob of sequence ij.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.3 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q - 58. Let j be v(12). Let g(l) = 6*l - 7*l + l**2 - 2*l**j + l. Let b(n) = -50*n. What is b(g(t))?\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26.79 and 0.3?\nAnswer: 8.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -11) + (10 - 4 - 4) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3 - 2 - 4 + 0 - 2 + 0 + 4 + (4 - 4 - 2)*(-5 + 4 + 3))*(-4 + t + 4) in the form p*t + l and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -389 - -345. Sort s, 5\/4, 2\/13 in descending order.\nAnswer: 5\/4, 2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -38.315?\nAnswer: -38.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-11)*x**3\/x assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q - 10. Let y(m) = 2*m - 6*m - 11 - 2*m + 0*m. Let g(u) = -3*d(u) + 2*y(u). What is the derivative of g(o) wrt o?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2 + 112780*h - 8784672 = 0.\nAnswer: 78, 56312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 405 - 653 = -17*d, u = -53 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppeppppppppppppepp. What is prob of picking 2 e?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5891880 divided by -888.\nAnswer: -6635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.8278 days in minutes?\nAnswer: 613192.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9f (base 16) in base 5?\nAnswer: -1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 31355*q + 6*q**2 + 31355*q - q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - -4)*19\/((-475)\/(-5530)) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**3)**(-33))**(-14) assuming x is positive.\nAnswer: x**(-924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17280.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20127 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 92. Let v be 360\/(90\/(-10))*(3 + (-27)\/12). Calculate d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1392, -2808, -4238, -5682, -7140, -8612?\nAnswer: -10098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 10*j - 1098. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9344110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 518076, 519734, 521392, 523050?\n\"Answer: 1658*h + 516418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6448 - 0.1448. Which is the second biggest value? (a) 5\/2 (b) 1\/23 (c) g (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 12, 0.05 in ascending order.\nAnswer: -2\/15, 0.05, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 2064 (b) -24 (c) 2\/7 (d) -4 (e) -5 (f) 0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a + 3. Let f be c(2). Let q(m) = -22*m - 2*m**3 - 2 + 12*m + 4*m**2 + f*m. Give q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3 - 10*w + 2*w + w. What are the prime factors of j(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -41120*t + 2179345. What is r(53)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, 12, 4 in decreasing order.\nAnswer: 12, 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4056*t**3 - t**2 + 45*t - 68 wrt t.\nAnswer: -24336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:37 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krvfvr. Give prob of picking 1 v and 1 r.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-30) + (-1 - 0)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 30 + 10. Suppose -h*v - 1712 = -13*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (540\/40)\/(1*(-18)\/48)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 6*g + 6. Let q = -47 - -52. Let r be l(q). Calculate the highest common factor of 44 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -1, 2, 0, -4 in descending order.\nAnswer: 5, 2, 0, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u = 311*u - 482*u + 4698 for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 9285*h + 10672704.\nAnswer: (h - 7941)*(h - 1344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19152376 to the power of 1\/2, to the nearest integer?\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 233323?\nAnswer: 233332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(2\/39)*u**16 assuming u is positive.\nAnswer: u**(665\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1aa - 17aa6?\nAnswer: -178da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1900) + 0 + sqrt(1900) + -2 - (sqrt(95)\/sqrt(5) + 4 + sqrt(76) + -1)**2).\nAnswer: -182 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2461\/428)\/(7\/14)\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwgrfwwwfrrwgfeef. What is prob of picking 2 e and 2 r?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 1:22 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58079, 58030, 57979, 57926?\nAnswer: 57871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/1*(-27)\/((-1215)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -8 (c) 1\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12324 divide 2931583824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 2*h**5 + 3*h**4 + h**4 + (-3 - h + 3)*(-23*h**4 + 16*h**4 + 40*h**4).\nAnswer: -35*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (27\/2)\/(6921\/(-4614))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1348 by 337.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - a = 1182, 306 = c + 4*a + 78. Is c a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 87. What is the greatest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 21 = 2*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 2)*(62*x - 56*x - 29*x) to the form k + n*x and give n.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 47654355?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 5*x**2 + 7*x - 14. Determine r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-1 - (-87 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/5045 - 416\/31279. Put -5, j, -4 in descending order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -129.\nAnswer: 5\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (0 - -5 - -9) + 6 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5720 plus 15?\nAnswer: -5705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*j + 3*j + 39, -2*v + 22 = -2*j. Suppose -20 = 3*k - v*k. Let z(a) = a**3 - 8*a**2 + 10*a - 7. Let p be z(6). Sort k, p, -4.\nAnswer: p, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9969056897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -12\/29244917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {l: 7, u: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 18. Let n(z) = -z + 17. Calculate -4*n(i) + 5*t(i).\nAnswer: -i + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/(-3) - 4)\/(3\/9). Is 5\/d + -17 + 2225 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5532 + 12125. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -193, -479, -855, -1321, -1877, -2523?\n\"Answer: -45*p**2 - 151*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 875.7058um?\nAnswer: 0.0008757058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57394 is divided by 368?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9380, -8940, -8502, -8066, -7632, -7200, -6770?\n\"Answer: -m**2 + 443*m - 9822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1637 (base 8) to base 6\nAnswer: 4143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 3*c - 3. Let k be m(4). Let t be -19 - -66 - (-1 - (1 - 1)). Let v be (6\/t)\/(5\/(-4)). Is k > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/2, 614 in increasing order.\nAnswer: -6, -1\/2, 614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2*l**7\/315 - l**6\/45 + l**4\/9 - 2*l**3\/9 - 4*l**2 + 3. Let a(f) be the second derivative of t(f). Find c such that a(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 7. Let n be (-6)\/r + (9\/(-6))\/1. What is k in 1\/2 + 1\/2*k - 1\/2*k**3 - n*k**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 0*h**2 + 1 + 43*h**2 + 3*h**2 + 0. Let z be k(1). What is the highest common divisor of z and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 982 divide 4361264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 883*p. Let t(f) = 2*f. Give t(n(o)).\nAnswer: -2*o**2 - 1766*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -198, -196, -194, -192?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -537759, -537746, -537739, -537738?\n\"Answer: -3*c**2 + 22*c - 537778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**4\/16 + 1301*g**3\/6 - 1692601*g**2\/8 - 5798. Find h, given that q(h) = 0.\nAnswer: 0, 1301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -134653.5533 to the nearest 100.\nAnswer: -134700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1700) + -1)**2 + -3 + (2 + sqrt(34)\/sqrt(2) - (sqrt(17) + ((1 + sqrt(153))**2 - sqrt(153)) + sqrt(153))) + 0.\nAnswer: -26*sqrt(17) + 1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 6*q)*(2*q + 0*q + q)*(-9 + 9 + 6*q).\nAnswer: -54*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 350, -2\/5.\nAnswer: -2\/5, 5, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 69 - 21 - 17 - 10 - 36*w - 17 - 2*w**2. Suppose d - 72 = 5*d. Let s be q(d). Solve 0 = 3*c - 3*k - 15, s*c + 3*k = k + 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -237\/275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112020022121 (base 3) to base 16.\nAnswer: c6259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 43\/3) + 1. Let m = u - -14. What is the second biggest value in -2, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(sqrt(153)\/(-1*sqrt(225)) + 1 + ((1 + sqrt(153))*1 - sqrt(153)) + 2)**2.\nAnswer: -24*sqrt(17)\/5 + 1376\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 - -359?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 u, and 1 y when four letters picked without replacement from yqtuqyynyyyq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 17*n + 30. Suppose 2*m = y - 0 + 18, -3*m + 28 = -2*y. Let q be v(m). Let d = q + 483. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/(-10) + (-1)\/5. Let v be 220\/752 - (-1)\/b. Are 1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*m**4 - 350*m**3 + 13*m**2 - m - 845833 wrt m.\nAnswer: 360*m**2 - 2100*m + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 35*z + 192 = -644 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 1. What is the smallest common multiple of d and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274903 times -106\nAnswer: -29139718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3 - 2 - 2*t + 8. What is the least common multiple of n(4) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbqqqqb. Give prob of picking 3 b.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2530*t - 20. Let y be ((-64)\/112)\/(2\/(-14)). Let m be d(y). What is m rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 15*u - 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 905*u + 71*u + 1362*u - 1300*u as o + z*u and give z.\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*g + 27 = -138*g + 3*m, -3*g + 5*m - 47 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 21*r - 363. Let g be m(17). Let y(i) = 12*i + 6. Let a(t) be the first derivative of -11*t**2\/2 - 5*t - 4. What is g*a(q) - 5*y(q)?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 17*z + 3740 = 0. Let i be z\/(-1632)*2\/5. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46637 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2. Let m(v) = -v - 13. Let z be (-7 + 2)*10\/(-25). What is z*m(q) + 14*n(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 34 and 39465\/1162 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**7\/420 - k**5\/30 - k**4\/2 - 2*k. Let z(j) be the third derivative of y(j). Differentiate z(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*c + 321 = 34*c - 42. Let 0 + 24\/13*j**5 + 14\/13*j**4 + 8\/13*j - 62\/13*j**c + 16\/13*j**2 = 0. Calculate j.\nAnswer: -2, -1\/4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/37, 4, -1\/3, 1 in decreasing order.\nAnswer: 4, 1, 2\/37, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -8*g + 40. Solve s + 24 = 5*o, s = -g*o - 4*s + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 4*b**2 - 2*b - 2. Let a(w) = 25*w**3 - 25*w**2 - 13*w - 13. Give 6*a(x) - 39*z(x).\nAnswer: -6*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (-398)\/(-9) - 16\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 57*s**7\/7 + 5*s**3\/3 + s - 59. What is the third derivative of q(n) wrt n?\nAnswer: 6840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 7, d: 1}. Give prob of sequence ptp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g + 2*g)*(-1206 - 1064 - 503).\nAnswer: -2773*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82214913 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 1. Let w(r) = -1. Let i(x) = a(x) - 3*w(x). Let d be i(-5). Sort -2, d, 5 in descending order.\nAnswer: 5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -652 at least -684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 + 2*g**3 - 3*g**3)*(53*g - 1095*g + 424*g - 1269*g).\nAnswer: -3774*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*(5\/65)\/((-29)\/(-377)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15 + -1 + 1 + -3. Suppose -2*l = l + 4*v - 48, -4*v + f = 0. Which is bigger: l or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/684 and 1\/266.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821180192?\nAnswer: 2, 3, 13, 233, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26 - -17) + 6 - (2 + 6)) + 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14676604 to the nearest integer?\nAnswer: 3831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5201 is divided by 2565.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8404901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37606905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -14 + 11*s - 3\/2*s**3 - 29\/2*s**2. Let g(n) be the first derivative of a(n). Find the first derivative of g(w) wrt w.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30107117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**2 - 14*v + 14. Let m(b) = 3*b**2 - 5. Let t be m(-2). Is 15 a factor of z(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n + u = -12, n - u = 0. Let d = 0.3 - 0.6. Let b(o) = -o + 14. Let v be b(12). What is the nearest to v in 3, d, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30511 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1 (b) -0.23 (c) -12 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -4) + (-7 - -13) + -4 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (6 + -3 - (-21 - -19)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 6*o - 1650 = -7*o - 1626, 0 = 4*l - 5*o + 147 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12182799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1\/9, 2\/11, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 3, -72, -147, -222, -297?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18857, -37736, -56615?\n\"Answer: -18879*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111 - -100?\nAnswer: -11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154802242.\nAnswer: 2, 7, 251, 44053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1138122*a. Let b(r) = 1145*r. Give 5965*b(p) - 6*c(p).\nAnswer: 1193*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29769 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q**2 + 2. Let o(s) = -2*s. Determine o(h(j)).\nAnswer: 28*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80 + 1be45c?\nAnswer: 1be4dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)*6*-4*-1)\/(sqrt(72)\/(sqrt(12) - sqrt(24)\/(sqrt(2) + sqrt(4)\/sqrt(2)))*3).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j**3 - 28*j**3 + 83994*j**2 - 83994*j**2 - 3*j.\nAnswer: -3*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 8. Let p(n) = -3. Let u(o) = -8*p(o) - 3*r(o). Let g(s) = 4*s - 2*s - 78 - 85 + 5*s + 167. Determine g(u(q)).\nAnswer: 21*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 300896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 4. Give c(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -475167 (base 10) in base 6?\nAnswer: -14103503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:36 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l - 247*l**2 + 277758 - 277749 - 85*l**2 wrt l.\nAnswer: -664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011001 (base 2) to base 14.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**15)\/x)\/x**(-5\/3) assuming x is positive.\nAnswer: x**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 9) + (-1 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1606 and -53\/4362.\nAnswer: 3502686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 6*b + 82. Let u be z(6). Let r be u\/165*-45705003 - (-2)\/11. What is r rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 7:39 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 o when four letters picked without replacement from {o: 6, w: 3, k: 4}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**2 + 2*a**2)*(6*a - 2 + 2)*(-1 + 5 - 1).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5614 + -2733. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 0*w**2 + 11*w**2. Let m(o) = -195*o**2 + 169*o + 676. Let v(l) = 7*l**2 - 6*l - 24. Let h(x) = -6*m(x) - 169*v(x). Give r(h(y)).\nAnswer: 1690*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v**3 + 2*v + 1. Let k be g(-1). Let n = 5 + -2. Let s(u) = u + n*u + k - 5*u. Determine s(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5288 and 158640?\nAnswer: 158640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.33 - 0.14. Let i = v + -5.19. Let l = -8 - -7.6. What is the third biggest value in l, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 2 + 3 - 5.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12605775 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 4*v + 2. Let d be b(-2). Suppose 0*p = d*p - 164. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2804108, -5608229, -8412350?\n\"Answer: -2804121*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 3*w**2 + 0*w**2 - 3*w**2 + 6*w**2 + 2*w**2 + (-2 - 2 + 3)*(0*w**2 + 2*w**2 - w**2))*(w**2 + 5*w**2 - 4*w**2).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*x + 37 - 49 = 0, 0 = -2*x. Sort s, -1, -4, 2 in decreasing order.\nAnswer: s, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 155064*y + 3876608. Calculate m(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2130109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*j**5 - 7*j**3 + 35*j**4 - 40*j - 111*j**3 + 28*j**3 + 51*j**5 + 100*j**2.\nAnswer: -5*j*(j - 2)**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 4. Let q = j + -7. What is the remainder when 12 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, 0, -25.\nAnswer: -214, -25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 493, 492, 491, 490, 489?\n\"Answer: -z + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-10) + 2*-1. Suppose -i = -5*i + 56. Suppose 12 = -4*o - 4*a, 5*a - 3*a = 2*o + i. Sort 0, o, l.\nAnswer: o, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -152828.\nAnswer: -152830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, d: 1, a: 1}. What is prob of sequence ka?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 249 and 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 936 and 108?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 35776697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 5*x + 1. Let s be y(3). Let c = 0.157 - 4.157. What is the second smallest value in 0.4, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) + 1\/(92\/(-130)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-374179)\/22 + (-4)\/(-2). Let p = o - -17003. Find the common denominator of -29\/6 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25b292 (base 15) to base 8.\nAnswer: -6716263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -86.5 (b) 1\/41 (c) -4 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/3 + 28*j + 320\/3.\nAnswer: 4*(j + 5)*(j + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)*m**6*(m**1)**(3\/8)*(m*(m*m**2)\/m*m)\/(m*(m**2*m)\/m*m*m)*(m\/m**1)**(-49) assuming m is positive.\nAnswer: m**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m + 1. Let g = m - -2. Let i(o) = o + 12. Calculate the lowest common multiple of g and i(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -10154737\nAnswer: 12185684.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -26074254.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99415.6262 + 100347.14. Let c = u + -932. Round c to two dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2 - 1338*w - 149187 = 0.\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (94\/7 - 14)\/((-4)\/148876)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1176)\/(-448))\/((-61)\/488)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83\/27 + 1465\/459. Let z = -7 - -8. Let v(x) = -x**3 - x**2 - x + 1. Let r be v(z). Which is the nearest to 0.2? (a) r (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, 8, 29, 48, 59, 56, 33?\n\"Answer: -l**3 + 8*l**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*m = -21 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from bljdlddlblsbjrrsbj?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1628424 and 3456.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*p = -49, -p = c - 8 - 3. Let a be ((-2)\/(c\/(-6)))\/((-102)\/(-272)). Put -0.1, -0.5, a, -8 in descending order.\nAnswer: a, -0.1, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, -5, 3, -4 in increasing order.\nAnswer: -13, -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.51442 centuries in millennia?\nAnswer: 0.551442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2\/447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, 58, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/(-9)*((-78)\/12 + -7). What is the greatest common factor of r and 1408?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23313 + 3702 = 15*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*q - 26 = 0, 73*g - 3*q = 77*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -331 - -24?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -249901 divided by 171\nAnswer: -249901\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*m**2 + 17*m**2 - 72*m**2 - m**2 - 2*m**2 + 5*m**2 + 4*m + m**2 - 4*m + (-3*m + 6*m - 2*m)*(-m + 3*m + 0*m) - 2*m**2 - m**2 + 4*m**2.\nAnswer: -81*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, f: 2, v: 1, o: 1, m: 1}. What is prob of picking 1 f, 1 v, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/((-1)\/12). What is the third derivative of -3*s**4 + 11*s**v - 10*s**2 + 13*s**2 wrt s?\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4 - 7 + 21*d**2.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -33*s + 59. Let p be l(2). Is -7 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -25*j**3 + 53*j**2 + 237*j - 24. Let a(v) = -5*v**3 + 11*v**2 + 47*v - 5. Give 14*a(b) - 3*t(b).\nAnswer: 5*b**3 - 5*b**2 - 53*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12220 + 12?\nAnswer: -12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1216975 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -62ca74 (base 14) to base 8\nAnswer: -14571016","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Solve 814 - 779 = -7*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -135*z - 687. Let t(g) = 54*g + 274. Let o(k) = 5*s(k) + 12*t(k). Let d be o(-6). Solve -3*u = -2*m + 10, 0 = -3*m - 0*u - 2*u + d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68593233.\nAnswer: 3, 197, 277, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - 44\/12. Let s(o) = o**3 + 5*o**2 + 2*o. Let j be s(r). Suppose 0 = 4*m - 0*m - j. Solve -5*x = -c + 23, -4*c = -m*x + 5*x + 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) 35\/11 (b) 0 (c) 25.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1363\/7 - 195. Let t = -73 - -72. Which is the nearest to -2\/3? (a) 0.1 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:25 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 12*z + 14. Let x(v) = -12*v - 2. Let l be x(-1). Let u be a(l). Does 7 divide (-11)\/33 - 98\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9966, 10543, 11472, 12753, 14386, 16371?\n\"Answer: 176*k**2 + 49*k + 9741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94dfa6 - 17?\nAnswer: -94dfbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 1, c: 1, x: 3, b: 5}. What is prob of sequence caua?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268 is divided by 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535010 (base 6) to base 8.\nAnswer: -125516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 11, e: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 + 192 + (1 - (-1 - 17)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1563651*f**3 + 7*f**2 - 119*f - 7008 wrt f.\nAnswer: 9381906*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 20, -2*j + 6739 = 2*g + g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1917\/7 - -10501\/42. What is the common denominator of -91\/22 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 1\/6*k**3 + 0*k**2 - 1\/12*k**4 + 0 - 194*k. Let p(y) = -y**3 + 6*y**2 - 6*y + 7. Determine p(l) + 6*x(l).\nAnswer: -l**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 232170, 231801, 231194, 230355, 229290, 228005, 226506, 224799?\n\"Answer: j**3 - 125*j**2 - j + 232295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/21 - 147\/9. Let z be 4\/6*4\/r*-8. Let -z*m + m**3 + 0*m**2 + 0 + 1\/3*m**4 = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 1 + 1)*(8*q**2 + 140 + 149 - 279).\nAnswer: 16*q**3 + 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)*f**(2\/3))\/(f*f**4\/f*f\/(f**(-4)*f)))**47 assuming f is positive.\nAnswer: f**(-6956\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-220)*(-2064)\/(-86)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1105*g - 24*l + 27 = -1102*g, -4*g + 12 = 8*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(504)*-3 - 3*sqrt(896)))\/(-3*-3*sqrt(24)\/sqrt(3)*-2).\nAnswer: 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47575 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-28))\/((40\/(-28))\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -714 - -707. Let t be 8\/(-14) + y + (-948)\/(-42). Solve -70 = -u + t*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.027 + -6.027. Let j = h - -5.89. Let o = -19 + 20. Which is the nearest to j? (a) o (b) -2 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -2. Let h = 14 + -12. Let z = i + h. Solve t - 11 = -3*k, z = -t + 1 + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 0 - (21 - 21 - (0 - 4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:01 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38359.104288 - -38285.12. Let p = j - -66.98425. Let h = p - -7. What is h rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173 + 183. Suppose -d + 3*l + 647 = 0, -t*l = -4*d - 6*l + 2628. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 11*s - 12. Factor -4 - 4*p**3 + 4*p - p**2 - 3*p**s + 8.\nAnswer: -4*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from ccvjajacjjc.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 47 = 12. Let n(h) = -h**3 + 4*h**2 + 7*h - 2. Determine n(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*z**3 + 33*z**3 - 19*z**3)*(248*z - 16256 + 16256).\nAnswer: 7192*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/2414049 and -19\/330.\nAnswer: 24140490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(14)\/sqrt(7)*6) - (-3 + 2 + sqrt(45))**2.\nAnswer: -46 + 37*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*q + 380*q = 183*q + 16. Are 11\/157 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 2, h: 3, e: 4, k: 1}. Give prob of sequence kye.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*t - 63*t - 29. Which is smaller: t or -2\/449?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 1\/(3\/(-21)). Suppose -4*u - 1 + w = 0. Let h = u - -3. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*v - 3*p - 15, 5*v = 2*p + 21. Suppose -q = -v*q. Let n be ((-1)\/(-22))\/(2\/8). Which is the nearest to -2? (a) n (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-10)*(-420)\/30. What is the fourth biggest value in 0.4, 0.01, u, 0.11?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - s**2 + s. Let f(y) = -64*y**3 + 32*y**2 - 32*y. Give -f(o) - 32*m(o).\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 97*z - 12. Let d(t) = 97*t - 11. Let p(f) = 6*d(f) - 4*v(f). Let m be p(-12). Let y = m + 5105. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o - 2*o)*(1 + 2*o**2 - 1)*(-20 + 11 - 20).\nAnswer: 58*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-7 + 3 - (-2 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 + 15734*g**3 - 30968432*g**2 + 92763744*g = 0. Calculate g.\nAnswer: 0, 3, 3932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = 25*l + 4224. Let r = l + -429. Calculate the greatest common divisor of 55 and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.515 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1135719, 1134669, 1133617, 1132563, 1131507, 1130449?\nAnswer: 1129389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*g**2 + 67*g**2 - 177*g**2 + 29*g**2.\nAnswer: -236*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o - 100. Let n(f) = -f**3 + 7*f**2 - 8*f + 4. Calculate the smallest common multiple of b(10) and n(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3 + 283*k + 45 - 99*k + 36 + 62 wrt k.\nAnswer: -3*k**2 + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -57*(56\/(-12) - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1599374 and 8694?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -25, -40, -55?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -16, 2, 4.\nAnswer: -16, -10, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7))**37*(v**(-1))**8 assuming v is positive.\nAnswer: v**(-130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 + 5*j**4 + 8 + 0*j**4 + 0 with respect to j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -865 times -450?\nAnswer: 389250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 + 484*i**2 + 53976*i + 105984 = 0. Calculate i.\nAnswer: -69, -2, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428906 + 5199427 - 19981499 - 2*d**2 - 10995138.\nAnswer: -2*d**2 - 25348304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -16*u**5\/5 - u**2 + 3*u + 5. Find the second derivative of r(g) wrt g.\nAnswer: -192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77550784 a multiple of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -96. Suppose -r = -5*d - 3*r + w, -d + r = -15. Calculate the remainder when d is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001171892 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29559830, -59119688, -88679546, -118239404, -147799262, -177359120?\nAnswer: -206918978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 91.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74, -396, -1670, -4150, -8238, -14336, -22846?\n\"Answer: -67*p**3 - p + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*n**2 + 2*n**3 + 3*n**3 + 2*n**3 + 2*n**3.\nAnswer: 9*n**3 - 39*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/13 (b) -2 (c) 10 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11406484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = c, 0*c + 2*c - 15 = -3*a. Suppose -8*z = -7*z - 2. Factor -4 + c*k - 4*k + 10*k - 5*k**z.\nAnswer: -(k - 2)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39229 - -1726157\/44. Calculate the common denominator of n and -47\/2566.\nAnswer: 56452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.125 - 14.925. Let r = 9 + y. What is r rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8619 + -8619.3. What is the third smallest value in -2, 11, -0.2, -1\/6, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9398, -0.4, -1 in decreasing order.\nAnswer: 9398, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.1 (b) -27\/32 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.127, 3, -0.4, -307, -5, -2\/19?\nAnswer: 0.127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -988552.0284391 and -0.4.\nAnswer: -988552.4284391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -14. Let s = -8 - v. Let u = 13 + s. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 - 5*x + 7. Let a(g) = g**2. Let p(k) = 4*a(k) + d(k). Let b be p(5). Is 8 a factor of (18\/b)\/(1\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 - 433*h - 10963. Give r(-42).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165451 to the power of 1\/2, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Collect the terms in 24*i - 80 + 162 - 82.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -51058.549?\nAnswer: 10211.7098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 109*x + 34*x + 75*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = 5*b. Let k(w) be the second derivative of w**3\/6 - 2*w**2 - 3*w. Let a be k(b). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10023 - -1331012?\nAnswer: 2001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16\/(r\/r**(3\/16))*r**(-8\/3)*(r\/r**(-3\/2))\/r*r)**(-2\/87) assuming r is positive.\nAnswer: r**(-721\/2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 0*k**2 + 0*k**5 + 0*k + 5\/7*k**7 + 0*k**6 - 7 - 1\/3*k**3 + 0*k**4. Find the third derivative of i(s) wrt s.\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.2 - 27. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + q + 1. Let t(f) be the third derivative of -f**6\/120 + f**5\/30 + f**4\/12 + f**3\/3 - 23*f**2. Let i be t(3). Determine a(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225264 and 608?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 13 = -5*c. Let m be 10\/c*(-42)\/(-84). Solve m*r = 2*r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -396 - -395.99930092. Round y to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18188 = j, j + 6*m = 2*m + 18212. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + -36. Let y = 69 + d. Calculate the smallest common multiple of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 4\/3, -1.1, 3, -0.04?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -q - 9, -2*q + 34*f - 29*f = 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12132.3 times 4?\nAnswer: -48529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67497 times 0.09?\nAnswer: 0.0607473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 31992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*-5)\/sqrt(3))\/(sqrt(16)*-5*6).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4 + 2*p + 3 - 6*p + 3*p - 2*p**2. Let h(q) = q**3 + 5*q**2 + 3*q - 5. Let g be h(-4). Give s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 16*u = 0. Let f(s) = 8*s**3 + 2*s**2 - 9*s**3 - 3*s**2 - s + u + 14. Calculate f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6647079.2 rounded to the nearest ten thousand?\nAnswer: -6650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 - 39*q + 2 + 37*q - 1 - 4*q**3 + 2*q**4 to the form m*q**4 + a*q**2 + y*q**3 + i*q + s and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 + 162. Suppose x + x - m = u, -2*x + 2*m = 0. Put -4, 3, 2, x in ascending order.\nAnswer: -4, x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-770)\/165*8\/((-64)\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:57 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 10) to base 9\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let z = -3 + m. Let s = -1 - z. Let h(q) = -10*q**3 - q**2 - q - 1. Give h(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10327263 at most -10327263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0 - 1\/24*x**4 + 1\/10*x**5 + 17*x**2 + 0*x + 1\/120*x**6 + 0*x**3. Let a be v(-6). Solve -4*c - a = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 32*z**2 + 24*z + 142. What is u(31)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 180900 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241\/5 - 50. Is -3 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113 is divided by 1086.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -5, -50150?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -3. Let p = -5500 + 5503. What is the biggest value in k, -1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/(-43) - (-132)\/2838. Let p(h) = h**2 - 2*h - 5. Let q be p(4). Solve r = f - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32962 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.87 - 0.671.\nAnswer: 0.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891102598 is divided by 1020.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)*x**(-4))\/((x\/((x\/((x\/x**1)\/x*x))\/x))\/x**(3\/8))*(x**(-1))**(6\/13)*((x**(-1)*x)\/x)**8 assuming x is positive.\nAnswer: x**(-7221\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:58 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59645888 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1837.612g?\nAnswer: 1837612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.6 - 42.6. Let c = q - -37.000492. Round c to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1698105553?\nAnswer: 67, 79, 320821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.6 and -65.\nAnswer: -2119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 3*m**2 + m - 55*m**3 + m - 2*m**4 + 59*m**3 to r + c*m**3 + s*m + d*m**4 + j*m**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603765759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + w + 21 = -3*w, 5*t - 24 = w. Let u = -115 + 106. What is the remainder when 68 - 2 - (u + t) is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j + 2*j**2 - 7128*j**3 + 0*j**2 + 0*j**2 + 7127*j**3 + 12. Is u(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-9)*(-11)\/((-220)\/(-12)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/(2\/6). Let v(k) = -43*k**3 - 2*k**2 - k. Let y be v(g). Suppose -j - y = -3*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*s**3 - 17*s + 8*s**3 - 29*s**3 + (-1 + 1 - s)*(5*s**2 - 3*s**2 - s**2).\nAnswer: 15*s**3 - 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 16 - 18. Let q = -215 - -233. Calculate the least common multiple of q and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from ccrrrr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-64)\/(-20))\/(2\/(-5)))\/(-3 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/33)*l)\/l**(2\/5))\/(l**7*l)**(-15\/7) assuming l is positive.\nAnswer: l**(20423\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/6 + 427*v. Let h(w) = -358*w. Give q(h(z)).\nAnswer: -256328*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1156 + 2098. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11926 + 11929. What is the closest to a in 390, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 2*o - 47, -2*k + 30 = 37*o - 39*o for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 609475557961*k**2 + 3 + 609475557968*k**2.\nAnswer: 7*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 26*t**2 + 51*t - 58. Let z be f(24). Let b be 14*((-36)\/(-108))\/(z\/6). Solve -5*g + 18 = -c, -4*g + 15 = b*c - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138810?\nAnswer: 2, 5, 47, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/(-144)*9\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - w + 13, 0*x + 10 = 3*x - 2*w. Suppose 0*j - x*j + 116 = 0. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/132 - 5099\/132. Let m = n + 1331\/30. Let b = -155 + 3361\/22. What is the common denominator of m and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -819 + 806. Let g(t) be the second derivative of 4*t + 0 - 4*t**2 - 5\/6*t**3. Let x(q) = -11*q - 17. What is z*g(i) + 6*x(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 1:16 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 6*r**2 + 3*r + 6. Let c be m(-6). Let l = -20 - c. What is the units digit of 9\/(-6)*l\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 776817\/32 - 24278. What is the common denominator of t and 45\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 150, 619, 1404, 2505, 3922?\n\"Answer: 158*r**2 - 5*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**2 - r**2 + r**2)*(-3 - 3 + 5) - 17*r + 7*r - 2*r**2 + 12 - 10 to j*r**2 + n + v*r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u + 2. Let q be g(-5). Suppose 3*p = -3*h + 51, -h + 0*h = -p - q. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/3)\/(9 - (-353)\/(-39)). Let n be ((-59)\/3)\/((-5)\/15). Let l = n + p. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 1794 + 3566 = 0. Calculate the remainder when f is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.33 and 1.80514?\nAnswer: -0.5956962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 190 + 170 = 0. Is 10\/p + 2 - (-292)\/8 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(450))\/(sqrt(10) + (sqrt(10) - (sqrt(10) + 1*sqrt(10))*3)) + 2.\nAnswer: 2 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 - 106*c**2 - 5*c + 27521?\nAnswer: 6*c**2 - 212*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 972898 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -201115 (base 6) to base 8\nAnswer: -36707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 266, 4, 0, -5 in ascending order.\nAnswer: -5, 0, 4, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/(-45)*1*-2*1. Determine t, given that 1\/3*t**5 + 4\/3*t**4 + t**3 + 0 - 4\/3*t - m*t**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 7*y + 2. Let c be p(8). Calculate the remainder when c\/12*(-13 - -1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*48\/24*3\/12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 15) + 2 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j + 3. Let m be n(0). Suppose -q + 14 = 6. Solve -b - q = -m*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (334\/1336)\/(439\/20 + (-5)\/25)\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = 10, 3*z + 21 = 3*a. Suppose -5*o - 26 = 19. Let u = o + a. What is the third smallest value in 0.5, u, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 402 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66869.5507 - 67216.62. Let a = 347 + q. Round a to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(2 - 23\/(-2)). Let g = -271\/5 - o. Let w be 0 + 4\/18 + 0. Which is the second biggest value? (a) g (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81826691 by 9439.\nAnswer: -8669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-400227)\/1467499*((2\/18)\/((-2)\/2))\/(-1).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Suppose 4*k + 23 = b*f, 2*f + 6*k - 5*k - 17 = 0. Suppose -x - f = -2*g + 6*g, -2*g = -x + 5. Sort 1\/4, 3, g.\nAnswer: g, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88693350 by -150.\nAnswer: -591289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-15) + 1 - (-4)\/(-10). Which is greater: 2\/19 or d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400124 - 3?\nAnswer: -400132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5175*y**3 - 48*y**2 - 2667*y**3 - 2584*y**3 + 48*y**2.\nAnswer: -76*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*l, 4*l - 2*w = -l. Suppose -2*t - t = 12. Let u be 3*(-8)\/t - 1. Put -6, l, u in ascending order.\nAnswer: -6, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1726 and 0.3?\nAnswer: 517.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -2.13708.\nAnswer: -2.23708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 5, 109, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8371 - 8371.9054. Let t = 1.30532 + s. Let c = -0.4 + t. Round c to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*f*k**3*v**3 - 617*f*k**3 - 3*f*k**2 + 77*f*k*v - 37270*k**2*v**3 + 20*k*v**2 wrt v.\nAnswer: -696*f*k**3 - 223620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1054 divided by -31.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55075.\nAnswer: 5, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4, 14*y + 302 = 18*y - c. Let k(s) = 155*s**2 - y*s**2 - 77*s**2. Let u(t) = -72*t**2 - 2*t + 2*t. Calculate u(k(z)).\nAnswer: -288*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 4*h + 7. What is m(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/9 and (-168)\/132 - 0*(-1)\/(-3)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 61*m - 36*m + 2834 = 0 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2160\/(-180))\/((-6)\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.8 times -127824?\nAnswer: 4320451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/85 - 1*(-1 + 0)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 441 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*t = -19780740757 + 664900757. What is t rounded to the nearest one million?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/6 + 446*c**3\/3 - 5*c - 111. Suppose o(t) = 0. What is t?\nAnswer: -446, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207794*v - 3*v**2 - 25 + 156 - 207794*v to the form m + g*v**2 + n*v and give m.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362\/(-8) + 598\/(-1768)*17.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. What is the third derivative of 0*n**3 + 0*n**a + 3*n**2 - n**4 wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 110 - 456 - 2099 = 0. What is the greatest common divisor of 884 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66611.48 centuries to millennia.\nAnswer: 6661.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36286393 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 81. Let b = 10179 - 10155. What is the remainder when w is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3602188 - 217.3582388. Let k = g + 215. Round k to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/((-124)\/(-14))*(-1 + 12\/14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441955?\nAnswer: 5, 157, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 482219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*n**2 - 19*n**2 - 34*n**2)*(3*n**3 - n**3 - n**3 + (-3*n + 3*n + n)*(2*n - 2*n - 2*n**2)).\nAnswer: 13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3908, 13, 0.1, 1\/5?\nAnswer: -3908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9688 + 0.4688. What is the closest to 0.02 in -1\/7, -0.4, 2, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 8*t**2 - 11*t - 4. Calculate the remainder when 69 is divided by s(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) + 38\/5. Let t be (-92)\/z*-70 + -2. Suppose -510 = -2*c + 3*s, 0 = 3*c + 5*s - 0*s - t. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*f - 5*r - 21, -7*r + 10*r = 32*f - 183 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3592 = -5*f + 3*p + 17382, 0 = 4*p + 12. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2648646 to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 - 4*i**2 - 2*i + 1. Let k be r(-2). Let p = k + 1. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {a: 4, e: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 0. Let k = 7 + o. Let s(j) = -k*j + 5*j + 0*j. Let c(n) = n. Determine s(c(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*x = 320*x - 48 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -18. Let c = b - 24. Let y = 11.999912 + c. Round y to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.9 - -11. Let j = o - 0.6. Let z be (1*-1)\/((-14)\/(-4)). Which is the second smallest value? (a) 2 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 293716715 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -19*2*401\/(-2) - 6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464, 478, 496, 518, 544, 574, 608?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-21 - 4712\/31)\/(2 - 2 - 1) is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r. Let j(z) be the first derivative of 3*z**2\/2 - 17*z + 9435. Calculate j(f(a)).\nAnswer: -9*a - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 13*c + 49. Let f be (9 - 0)*(-30)\/(-45). Let v be m(f). Suppose v*o = 317 + 2861. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575237 is divided by 71771?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 1 - 44*t**2 + 41*t + 1 + 5*t**4 - 41*t in the form m + z*t**2 + a*t**4 + n*t + v*t**3 and give z.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 37. Determine n(-57).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f**3*v + 187*f**2*v**2 + 9*f*v**2 - 44*f*v - 2*f + 2*v wrt f?\nAnswer: -84*f*v + 374*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3094?\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -333 + 335. Let g(q) be the first derivative of 1\/12*q**3 + 4*q - q**p - 5. Determine i, given that g(i) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76111629119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 3:34 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 8*c - 7. Let n(t) = -3*t**2 + 7*t + 6. Let u(v) = -6*a(v) - 7*n(v). Find the second derivative of u(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2449?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 143*m**8\/21 - 631*m**5\/20 - 925*m**2. What is the third derivative of p(r) wrt r?\nAnswer: 137280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + i. Let f(n) = 0*n + 2*n + 0*n**2 - n**2. Let g(l) = -33*l**2 + 3*l + 3. Let p be g(2). Let q = -124 - p. Give q*f(h) + 2*o(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (223*s + 165*s - 7 - 318*s)*(2 - 3 + 2) to c + o*s and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 0 + 31*g + 0*g**3 - 1\/6*g**4 + 0*g**5 + 0*g**2 + 4\/3*g**6. Find the third derivative of p(y) wrt y.\nAnswer: 960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/181 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -6\/19, -4, 0.4, 5?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -19 - 7. Suppose -q*x = -4*t - 668, 4*x - 1640 = -x - 5*t. List the prime factors of x.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -47.79. Let m = -0.19 - f. Let r = -0.04 - 2.96. What is the third smallest value in m, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -60.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m*m\/(m\/(m*m*m\/(m**(-1\/5)\/m*m)))*m*m*m))\/m*(m\/(m\/((m\/m**(-6))\/m)))\/m*m*m**(1\/7)*m*m*m*m*m**(3\/5))**(-1\/33))**(-36) assuming m is positive.\nAnswer: m**(1908\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (344 + 56*z**2 - 56*z**2 + 1819*z**3 - 344)*(6*z - 4*z - 3*z).\nAnswer: -1819*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 greater than or equal to 157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/492 and 47\/104304.\nAnswer: 104304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/1036 - (-556)\/666. Suppose 1 = -5*u + 6. Which is bigger: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) + sqrt(130)*1)*-6)\/(sqrt(160)\/sqrt(4)) - ((1*sqrt(104)*1 + sqrt(104))\/(sqrt(40)\/(sqrt(10)\/sqrt(2))))**2.\nAnswer: -52 + 13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*(sqrt(66)*3 - sqrt(66)) - sqrt(66)))\/(sqrt(96)*-1*-5).\nAnswer: 9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6347810 smaller than -6347809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 6:00 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -718 times -5.981\nAnswer: 4294.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3424165483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/5, -3, -216 in ascending order.\nAnswer: -216, -3, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 25 = 5*y, 54 = -4*z + 4*y + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14*(-17 + 12\/3). Suppose 2*z - b = -0*z. Suppose 23 = -4*o + z. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2475 - 5199 - 4517)*(-3*o**4 + 0*o**4 + o**4).\nAnswer: 14482*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(sqrt(1584) - 6*(sqrt(1584) + 0))*4.\nAnswer: 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -9 - (28 + -9 - 15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 + 4*s - 2. Let c(r) = 13*r**3 - r**2 - 16*r + 9. Let h be 1*(10 - (8 + 0)). Calculate h*c(i) + 9*w(i).\nAnswer: -i**3 - 2*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -6 (b) -1\/22 (c) -0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 1421, 4762, 11269, 21998, 38005?\nAnswer: 60346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272*h**3 - 2396 + 2396)*(167 - 7*h - 167).\nAnswer: 1904*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -384 (b) 1 (c) 1\/2 (d) 0.06 (e) 7\/3 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - (-113 + 12)) + -15\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -130*t**4\/7 + 69172*t**3\/7 - 552904*t**2\/7 + 123984*t - 75456\/7 = 0.\nAnswer: 6\/65, 2, 6, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008098 to 5 decimal places.\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - z**4 - 2*z - 14*z**3 + 14*z**3 + 2*z**2 + 3*z to the form y + n*z**4 + t*z + a*z**2 + l*z**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -13. Let v = z - -5. Let t = v + -14.4. Sort 2\/9, -5, t in increasing order.\nAnswer: -5, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/60 + 209*r**5\/10 - 43681*r**4\/4 + 9129329*r**3\/3 - 1078*r**2. Factor q(j).\nAnswer: -2*(j - 209)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 22. Solve 0 = -l + 3*l - o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447598, 447596, 447594, 447592?\nAnswer: 447590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10886 = -22*r - 11436 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000210211012 + -21?\nAnswer: -1000210211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + 12\/(-14). Let o = 2877.08 - 2877. Which is the smallest value? (a) z (b) -2\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 25*b + 20*b - 36 = 0, -4*k - 2*b = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 17. Suppose 2*r = -x + 6. Find l such that 2\/5*l + 0 + 3\/5*l**r = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 1.4059\nAnswer: -8.4354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -901, -993, -1085, -1177, -1269?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.085 + 0.08441. What is x rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40511 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-16) + 6\/(-8). Let x = -171099 + 36444227\/213. Let k = x - -2\/213. Which is the closest to k? (a) 0.2 (b) -4\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 92709784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*m + 36, 3*m - c + 52 = 5*m. Let z = -21 + m. Let t be (-1)\/(2*1\/(-34)). Solve -2*i + 2 = -6*x + 4*x, t = -4*i - z*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 36. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3 + 2\/3*b**3 + 2*b + 2*b**2. Factor a(g).\nAnswer: 2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 12:05 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 51*n. Suppose 3*b + 3*q = 54, 23 = 2*b + q - 16. Let w(m) = 5*m - 1058 - 2801 + 3859. Determine b*w(t) - 2*x(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*(-4)\/(-2). Let x(m) = m**3 - 2*m**2 + 3*m - 6. Let u be x(3). What is the units digit of l*3*(-20)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -10921?\nAnswer: -10929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*j - 5*a, 0 = -2*j - 3*a - 8 - 9. What is the third biggest value in 0.3, j, 0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 23713 = -17792. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-25)\/a)\/(a**21*a*a))**(-43) assuming a is positive.\nAnswer: a**2107","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*i + 575. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 13*j + 7)*(-5 + 4*j**3 + 5) - 5 - j**4 + 5 as g*j**3 + t*j**4 + v*j + d + b*j**2 and give t.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 0 + 3 + (0 - -16 - 4).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 64500, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 43. Let t(g) = u + 0*g + 0*g + g. What is t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 11*u + 16612. Suppose -2*r = s - u, s - 3*r - 4156 = -4*r. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2585?\nAnswer: 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 - 20*q + 12. Let g be u(4). Let a be ((21\/g - 3) + 2)\/(-1). Factor a*y + 1\/4*y**2 - 1\/2.\nAnswer: (y - 1)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 471042177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17398 by -32.\nAnswer: -8699\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 129*g**2 - 18*g + 5388. Calculate y(65).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137826791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -4. Suppose 4*l - l = o. Suppose -3*z = 3*s - 6, -2*z + 3 = s + l. Solve 0 = s*f + 13 + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17517, -35034, -52551, -70068, -87585?\nAnswer: -105102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(20\/(-42))\/(-1). Let c = -2\/3 - s. Let n be ((0*(-3 - -2))\/2)\/(-2). Are c and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 459 - 2*s - 459 + 11*s**3 to i*s**2 + t*s**3 + l*s + b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 9 + 10 - 2 - 2*b**4 - 15*b**4 + 10*b + 4*b**4 as m + r*b + z*b**3 + t*b**2 + j*b**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8020 by 457.\nAnswer: -8020\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 9*m - 4. Let l(h) = -h**3 + 8*h**2 + 9*h - 8. Let f be l(9). Let x be o(f). Solve -x*b - 8 = -3*a - a, -b = 5*a + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*v - 16 = 0, 0*a + a - 4 = -5*v. Let b be 80\/(9 - a) + -3. Let x = 64 + b. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:23 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5129133 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 435 - 154 = -361 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4bb7 + 2?\nAnswer: -4bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-4) - (-5)\/(-20). Let v(a) = 6*a - o*a**2 + 2*a + 6 + 2*a**2. What is the remainder when 21 is divided by v(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 451 and 3756379.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p + 75. Determine y(-8).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*g = 1605, g + 401 = a + 2*g. Calculate the least common multiple of 5 and a.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + p**3 - 6*p**3 + (6*p + 4*p - 33*p)*(-2*p**2 - 4*p + 4*p) in the form k*p**3 + v + l*p + t*p**2 and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 383808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3066 and 966.\nAnswer: 70518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35260564 and 736.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**4 + 560*v**3 + 122365*v**2 + 4315800*v + 4194000 = 0.\nAnswer: -60, -1, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 7*i**5\/60 - 7*i**4\/24 + i**3\/6 + 8*i**2. Let p be v(-4). Let m = -97 + p. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 4*v**2 + 5*v + 4. Let m be t(-5). Suppose 48 = m*l - 5*l. Let i = l - -98. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -454959083725729\/13818 - -32925103737. Let u = -2\/2303 + s. What is the common denominator of 28\/5 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 - m + 8. Determine s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 600102, 600099, 600096, 600093, 600090?\nAnswer: 600087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 222.4 + -64.9\nAnswer: 157.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in -2\/7, -0.1, 36042?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.358436 rounded to 2 dps?\nAnswer: -29.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-6)*j*j\/(j**(-8)*j*j))**(1\/65) assuming j is positive.\nAnswer: j**(4\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-774*c**4 + 111 - 228 + 117)*(-1 - 2 + 2) - 4*c**4 + 8*c - 8*c.\nAnswer: 770*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-85))\/(153475\/(-74545))\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giggggigggggggggiigi. Give prob of picking 1 i and 2 g.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + 3 + -3 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b - 66. Give f(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-2 + sqrt(13) + 5))**2 - (sqrt(13) + 2 + sqrt(13) + -3).\nAnswer: -2*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 5*g**2 + 2*g - 2. Calculate the remainder when z(-3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 212 (b) -2\/11 (c) 77 (d) 4 (e) 1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4294?\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 1908 + 1920 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334 (base 6) to base 13.\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v + 784 = v. Let l be (3\/(-2) + 1)*v\/14. Factor 0 - 1\/2*r**2 - l*r**3 + 0*r.\nAnswer: -r**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 40*a - 18 = 214 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/2968*53)\/(7\/((-70)\/(-885)))?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -73*d - 2. Let w = 15957 - 15955. Let j(y) = y + 1. Calculate w*j(o) + b(o).\nAnswer: -71*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 166*j - 2147. Let g be o(13). Solve g*x - 2 - 31 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/382 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65 - 0) + -1197 + 1160.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26949578683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 66*l**2 - 10*l - 333. Determine k(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 29 - 1 = 0. Which is the third biggest value? (a) -1 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 1113 - 263 = 0. Let n = 47\/8 + -323\/8. Are j and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 57*u**2 + 66*u + 24. Let k(r) = 38*r**2 + 45*r + 15. Let m(z) = 5*c(z) - 7*k(z). Let y(j) = -5*j**2 - 4*j - 4. Give 6*m(h) + 22*y(h).\nAnswer: 4*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5562 and 43878?\nAnswer: 394902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -234411220?\nAnswer: -234411213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17614, -17251, -16888, -16525, -16162?\nAnswer: -15799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 948000 rounded to the nearest ten thousand?\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17603 + 5.87563. What is f rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-1 - (-3 + (10 - 4) + -7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5447*v**3 - 49347*v**3 + 6979*v**3.\nAnswer: -47815*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.27 - 22.27. Which is greater: g or 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61797 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/12)\/((-6)\/8). Let h = -134 - -133.7. Sort z, 3, h in decreasing order.\nAnswer: 3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 3*b + 4. Let t be c(-3). Let r(f) = -f**2 + 2*f + 11. Let x be r(t). Solve x*v = 7*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0122 + 0.0178. What is the third biggest value in 2\/9, 2, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0361 + -0.1639. Which is the nearest to l? (a) 1.19 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 85938, 85874, 85796, 85710, 85622, 85538?\n\"Answer: g**3 - 13*g**2 - 32*g + 85982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixye when four letters picked without replacement from xiybxxxe?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 25 = 6*x + 4*v, 0 = -3*x + 3*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002414018 to 5 dps.\nAnswer: 0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 4. Determine x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + 0)*(-555)\/(-333). Let a = -8 - -8. Suppose b + a = 10. Solve b*p + l = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 215*v - 13. Let x(h) = -1332*h. Determine z(x(b)).\nAnswer: -286380*b - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45256832.\nAnswer: 2, 131, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Add 141756027387 and 5.\nAnswer: 141756027392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 9*o - 7. Let y be h(9). Let x = y + 10. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 - (-117)\/189. Let z = -0.05726 + 8.05726. Which is the fourth smallest value? (a) v (b) z (c) 2\/11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 2)*(4*i - 6*i + 0*i) + 0*i - i - i)*(i - 4 + 4) - i**2 + 2*i**2 + 0*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51100008 - -35238874. Let d = -15861182.999995 - q. Let j = 49 + d. Round j to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 3. Let g be o(0). Suppose 0 = b - g*s - 0*s - 57, 0 = -4*s - 20. Suppose 0 = 3*c + 9 - b. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.7801 decades in millennia?\nAnswer: 0.887801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 824 - 178 = 0. Suppose -2*f + m = 2*u, -5*u + 8*u - f - 35 = 0. What is the greatest common factor of 117 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/7*8583\/(-16). Let t = 2124 + z. Calculate the common denominator of t and -3\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -49.\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-1)\/(165\/2010)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.560483 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1000010001011000101 (base 2) to base 3\nAnswer: -111202210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 6362*w - 6362*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-202*h**2 + 721*h**2 - 261*h**2)*(0 + 0 + 2*h)*(84 - 84 + 2*h).\nAnswer: 1032*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from pyyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) + 0)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.32 + -1.38. Let b = -1.69999913 - v. Round b to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, e: 3}. What is prob of picking 3 a and 1 e?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4002, 3995, 3990, 3987, 3986, 3987, 3990?\n\"Answer: w**2 - 10*w + 4011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 37*b**7\/210 + b**6\/60 + 577*b**5\/60 - b**2 + 22*b. What is the third derivative of h(z) wrt z?\nAnswer: 888*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 265543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 422d5?\nAnswer: -422df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*d + 12, -4*p + 2*p + 3*d + 4 = 0. Suppose 5*n + 33 = 2*s, -5*n + n - 32 = -3*s. Solve 4*c = -s - p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 179, 597, 1303, 2303, 3603, 5209, 7127, 9363?\n\"Answer: l**3 + 138*l**2 - 3*l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 4*f + 16 - 1 + 59 to the form g*f + m and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {j: 2, q: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 295 - 294.5. Which is the third smallest value? (a) 3\/2 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, -2\/202823?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0*i**2 + 19\/3*i**4 + 70*i - 1\/15*i**6 + 0 + 1\/14*i**8 + 0*i**7 + 0*i**5 + 0*i**3. Find the third derivative of p(h) wrt h.\nAnswer: 480*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66343353.\nAnswer: 3, 22114451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 < -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3768*f + 2*f**3 + 1729*f + 1879*f.\nAnswer: 2*f**3 - 160*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**6\/120 + i**5\/60 + i**3\/3 - 169*i**2. Let d(b) = 2*b**3 - 2*b**2 - 5. What is 4*d(x) + 9*f(x)?\nAnswer: -x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/25 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.04656.\nAnswer: 0.27936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 10*f**2 + 8*f + 16. What is n(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10872, -21728, -32570, -43398, -54212, -65012?\n\"Answer: 7*d**2 - 10877*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*f - 76 = 0, -5 = p - 3*f + 4. Which is bigger: p or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4399.03 rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = 12. Suppose 20 = 4*l + 5*w, -s*l = -5*w - 21 - 49. Let t = 43 + l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013233 rounded to 7 dps?\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 4*s**2 - 142. Let n(j) = -25*j. What is -3*n(x) - 10*q(x)?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*w + 5 = -3*c - 673*w, 5*c - 5*w + 35 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 79 = -4*y - 10*u, -5*y + 99 = -4*u. Solve y*a - 15*a = 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.076 + -634.72.\nAnswer: -654.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -416*p - 46*p + 28*p to h + w*p and give w.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 2\/15 (c) -0.3 (d) -5\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33224)\/(-26) - (-30)\/195. Suppose l - 1563 = -4*x - 288, -4*x + 2*l = -g. 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 units digit of 54586900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - (-6 - -8)) + (3 - 5). Solve f*k - 19 = -2*d, 0 = 3*d + 4*k + 11 - 38 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 4*a. Let p be t(-3). Let x(q) = -2 - 2 - q - 2 + 3 - 2. Let n(z) = -3. Calculate p*x(m) + 5*n(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47519423 and 1022.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 35) + -4 + 11 + -7 - (-8 + -3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(100)\/(sqrt(2) - (sqrt(2)*2 - sqrt(2))*-4).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:56 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 40. Let s be g(-20). Which is the smallest value? (a) -23 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 4\/(-2))*5. Suppose k*r - 1 = 4. Is 1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 29 (b) -3\/4 (c) 5 (d) 1\/4 (e) 0.1 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + p + 1. Let h(k) = 5*k - k**2 - k**2 + 4*k**2 - 4 - 4*k**3 - 7*k - 3*k**2. What is -h(i) - 2*u(i)?\nAnswer: 2*i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3 - 181. Suppose -3*n - 4*d = -25, -d - o = -0*n - 4*n. Suppose 0 = b - n + 1. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1241*k + 1241*k + 5*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92165462 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/5, -0.02, -1\/27, -4, 150?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kggggggggcggggkgg. Give prob of picking 2 k and 1 g.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 + -1.19. Let f = -9.4 - w. Let l = f + 8.1. What is the second smallest value in l, 1, -2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 4:34 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 4 + 44. Let n(w) = 4*w**2 + 3*w. Let h(r) = 11*r**2 + 8*r. Determine x*n(s) + 3*h(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-11)*12\/18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, -7631, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 82 = -4*w - 2*p, w - 5*p = 48. Calculate the remainder when (11 - (-113)\/1017)*(-9)\/(-2) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 745336\nAnswer: -3\/372668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132238 - -213165. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*v = 84, 19*m - 3*v = 23*m - 88. Let w(k) = -31*k - m*k + 26*k - 28*k - 11*k. Let n(p) = -3*p. Determine n(w(t)).\nAnswer: 207*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = 0, -2*d + 3 = h - 2. Let i(w) = w - 2*w**d - 4*w**2 + 3*w**2 - 5. Let c(t) = t**2 + 1. Suppose -78*y + 74*y + 20 = 0. What is y*c(u) + i(u)?\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6765, -13535, -20305?\n\"Answer: -6770*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1340*w. Let z(i) = 62*i. Calculate z(h(r)).\nAnswer: -83080*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2520868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -41. Suppose 0 = -j, 0*l - 4*j = a*l - 15. Suppose 4*r - 3*d - 35 = 0, -l*r - d + 26 = -3*d. Calculate the highest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4\/3, 8029?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by 2?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a hour in minutes?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 545180862 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f - j = -2907, -4*f - 3*j = -2905. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - h)*(5*h**2 - 3*h**2 - h**2) + (7*h + 5*h**2 - 7*h)*(2*h + 2*h - 2*h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 + 2261*o**3 - 381307*o**2 - 4062821*o + 4441866 = 0. Calculate o.\nAnswer: -2418, -11, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 461785591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -70.5. Let k = z + 37. Put k, -0.03, 1, -0.4 in increasing order.\nAnswer: k, -0.4, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -7. Let x be 0 + 3 + o + 0. Is x bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 200, 1\/11, 0.2 in ascending order.\nAnswer: 1\/11, 0.2, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 5 - -7) + -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/2301 - -10744\/6903. Which is greater: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/4)\/(156\/(-4134312)).\nAnswer: 3, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158150 plus 0.778?\nAnswer: 158150.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 277*a + 15034. Give w(-55).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.752155 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -994*d - 1. Let v(z) be the first derivative of -z**2\/2 - 551. Calculate m(v(h)).\nAnswer: 994*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 311508 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -26, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18559*k - j - 10 = 18563*k, 0 = -4*k + 9*j + 210 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 167 = -37*q - 61 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 6. Calculate the common denominator of -23\/8 and (p\/(-11))\/(5\/35).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4\/7, -238\/57, -770\/37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037037663?\nAnswer: 3, 109, 491, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 17173775?\nAnswer: -2\/17173775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 158, 254, 370, 512, 686?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 6*o**2 - 5*o - 10. Let v be y(7). Let g = 8 - v. Calculate the smallest common multiple of 10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -7)\/((-1)\/(-3)). Solve -3*d + 5 = 4*x - k, 4*d = x + 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1379.9 + 1379.900010707. Round g to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**8\/588 + h**6\/35 + 8*h**5\/105 + h**4\/14 + 11*h**2 + 36*h. Let f(o) be the first derivative of c(o). Factor f(p).\nAnswer: -4*p*(p - 3)*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b18 - 1?\nAnswer: -9b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -51. Let q be (14\/(-35))\/(n\/(-30)). What is the units digit of (53 - q) + -5 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -39710*j**2 - 14 + 193108*j**2 - j + 118031*j**2 + 2*j. Let s be i(-7). Round s to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859757.\nAnswer: 3, 23, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 22. Let a = 7.9 + -15.6. Let j = b - a. What is the third smallest value in -5, 1\/5, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.4 (c) -0.8 (d) -0.5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 16 (c) -2\/61 (d) -2 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-297)\/(-72) - (-3)\/(-24). Suppose 2*p - 4 = -t*q - 0*q, 5*q = 0. Solve 3*g = g - p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-90))\/(1\/5*1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65.033 + 65. Let g = d - 0.177. Let y = 0.2064 + g. What is y rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -31*l**2 + 39*l + 143. What is f(-4)?\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0 + u**3 - u**2 - 1\/12*u**4 + 158*u. Suppose -2*z - 29 + 3 = 0. Let g(m) = -2*m**2 + 13*m - 4. Give z*a(o) + 6*g(o).\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 8*g**2 + 32*g - 7. What is a(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 333427913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 9\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-3)\/12*2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 2*p**2 + 10*p - 77. Give a(0).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189620017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((117\/13)\/9)\/(9*-1)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -0.0246\nAnswer: -6.9754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -3*x. Solve 5*s + 20 = b, -5*s + 3*b = -b + x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.07, 2, -323849, -4.\nAnswer: -323849, -4, -0.07, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5125059618 and -4.\nAnswer: -5125059622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*h - 5 = 0, -b - 2 = 2*h + h. Suppose b + 1 = m. Suppose -z - 3*p = -0*p - 21, -4*z + m*p = -42. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 6:30 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5))**2\/(a**(-6\/5)\/a**(2\/13)))\/((a**(2\/9))**(-13))**(7\/11) assuming a is positive.\nAnswer: a**(5138\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*h + 26, -60*h + j = -58*h - 8. Solve o = 5*w + 18, -h*o = -2*w - 0 - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*g + 82 = -5*g - 6*m, 2*g = m + 25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 34?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c - 82. Give a(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a hour?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 39 = 7*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 28 + -7 + (15 - 15) + 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*v - 148 + 199, 4*v - 3*x = 68 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1991*j = -2552*j - 491*j + 1495*j + 134482 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116079182207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * -34.\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -636 - -3186\/5. Suppose 28 = c + 5*f, 0*f - 7 = -4*c + f. Factor 0 + b*p - 11\/5*p**2 + 3\/5*p**c.\nAnswer: p*(p - 3)*(3*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5929) - sqrt(5929) - sqrt(5929) - (1*sqrt(147))\/sqrt(3))\/(sqrt(1008)*-4 + sqrt(1008)).\nAnswer: 14*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-382)\/(-9168) + 527\/24. Solve 0 = -w*u + 209 - 55 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35927 = -50*u + 509373. List the prime factors of u.\nAnswer: 2, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -697, -2\/3, -6 in decreasing order.\nAnswer: 0.2, -2\/3, -6, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**3\/7 + 27*i**2\/2 + 192*i\/7 + 166. Factor x(w).\nAnswer: -3*(w - 64)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82795.\nAnswer: 5, 29, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12))\/(-2*12\/672)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 80*f**2 + 58*f - 49. What is the tens digit of w(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*u**3 - 602*u**3 + 4*u**3 - 310*u**3 - 618*u**3 - 1901 wrt u.\nAnswer: -4455*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -5*t + 2*f + 326, -3*f = 4*t - 468. Let k = 43 + -30. Calculate the highest common factor of t and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203100 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -825 - -1843. Suppose -x = 18*p - 7696. What are the prime factors of p?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 2 - (9 + -85) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/14 - 1\/7. Suppose m - 4*m + 69 = u. Suppose 0 = 3*x + 5*z - 39, -3*z - 8 + 21 = x. What is the remainder when m is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/730?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01094 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1062 and 997506.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 4, -6, 2963, 8.\nAnswer: -6, 1, 3, 4, 8, 2963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.041727 to 4 decimal places.\nAnswer: -0.0417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -6 + (1 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 28*r - 11 + 36 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/48 and 35\/4660962.\nAnswer: 37287696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 37*w - 156. What is y(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/(-2))\/3*(-1)\/(-2))\/(34425\/128520)?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -21 - -23 - (-1 - 1). Let c(u) = -3*u - 5 + 5*u + u. Determine c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104247 is divided by 25781?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -100743200 divided by -5\nAnswer: 20148640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(182)\/(-3*sqrt(63))*1)\/((sqrt(168)\/sqrt(7))\/sqrt(12) - (sqrt(2) - (sqrt(2) - (sqrt(162)*3 - sqrt(162))))))**2.\nAnswer: 13\/23409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4589 is divided by 123.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**2 + 0 - 1\/120*m**5 + 0*m**4 + 1\/6*m**3 + 0*m. Let g(c) be the first derivative of n(c). Let z(p) = p. What is g(z(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-445)\/(-10) - 6)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1105 (b) 3 (c) 0.4 (d) 24\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4331048931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(98) + 1 + -2.\nAnswer: 3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 26) + 0 + 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -8\/11?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/(-1)*0. Suppose w = -2*l + l. Let c be (-3)\/(-1) + (4 - 3). Solve 0 = c*t + 4*d, -t + d = 2 - l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -37. Let r = -5 + z. Which is bigger: -6\/17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/20 - l**4\/3 - l**3\/3 - l**2\/2 - 15*l. Give o(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -696 (b) 0.1 (c) 1\/9 (d) -2 (e) 0.14 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 13) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 2\/13, 33?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 52*s**2 + 458*s + 188. What is m(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 32*v - 1384. Is 36 a factor of q(59)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 476 + 0.94.\nAnswer: 476.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, t: 15}. Give prob of sequence btt.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 14*h**2 + 25*h + 11. Give d(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10252 - 11313251?\nAnswer: -11323543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3) - 0) + 26\/(-3). Let u(b) = 2*b**2 - 8*b + 2. Let g be u(o). Suppose -g = 5*f - 3391. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*c + 8 = 0, -2*c - 3*c + 20 = 0. Suppose -p + 6 = 5*i - 22, -5*p = 5*i - 40. Suppose u*l - i = -l. Solve y - l + 0 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -930401\/82 + 11347. Calculate the common denominator of 65\/4 and f.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -947 - -942.03. Let o = -5 - q. Let m = -79.6 + 80. Put -2, m, o in descending order.\nAnswer: m, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2983 - -8260. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 95228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18709*h = 18992*h + 6226 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21836)\/4421790)\/((-1)\/(-18)).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 2:58 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 - 49*k + 17. Suppose 6*x - 4*x - z = 13, 2*z = 5*x - 31. Give h(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/280 + (-15)\/420 - 286\/(-20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1020)\/35*35\/(-10). Let w = -409\/4 + b. What is the third smallest value in -1\/5, 0.2, -0.8, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.326 - 0.726. What is the third biggest value in 59, r, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l. Let j(n) = n - 3. Let c(z) = 1. Suppose -5*r + 4 - 34 = 0. Let s(d) = r*c(d) - 2*j(d). Give h(s(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1171983994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -21\/230?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(6 - 1) - 93. Let p = -656\/7 - q. What is the closest to 1\/2 in p, 2\/9, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28 + (0 - 4) - 2. Let w be ((-33)\/j)\/(6\/40). What is the second smallest value in w, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + v + 6 + (-2 + 2 + 1)*(3*v - 2*v + v))*(-1025 - 2577 - 1278 - 2190).\nAnswer: -21210*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -86159\nAnswer: -5\/86159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1340645 + 4?\nAnswer: 1340652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.05211681.\nAnswer: 0.10423362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 363057\/904 < 402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22704 and 18?\nAnswer: 68112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 25?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*x, 8*n - 3*n + 4*x - 3 = 0. Let z(h) be the third derivative of 0*h + 5\/24*h**4 - 11*h**2 + 0 - 3\/2*h**n. What is the derivative of z(b) wrt b?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7689.106ml to litres.\nAnswer: 7.689106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + q**2 + 5. Give w(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 = -a, -3*a - 3*h = -h + 11. Let b(u) = -u**3 + 11*u**2 - 11*u + 14. Let p be b(10). Put -4, a, p in descending order.\nAnswer: p, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and -1629.\nAnswer: -1628.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 4536.6?\nAnswer: 4538.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282101 is divided by 40190.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2994964 is divided by 2302.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2 - 14. Let o(v) = -v**3 + 11*v**2 - 17*v - 7. Let q be o(9). Let a = 23 + -23. Solve i*j + 2*h + 14 = a, -5*j - 6 = -q*h - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 3561*z**2 + 3038*z**2 - 10 to q + l*z**2 + u*z and give l.\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:21 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202195 and 530.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let p(k) = 3*k**2 - 195*k + 383. Let u be p(63). Solve 0 = 3*a - 12, u*n - 13 + 0 = -t*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118300*b**2 + 118300*b**2 - 11*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 1. Let d(f) = 3*f**2 + 4*f + 3. Give -d(j) + 3*g(j).\nAnswer: -3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 - -89. Let p(l) = 4*l**3 + 7*l**2 - 13*l - 9. What is the hundreds digit of p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26272*h**3 - 4 + h**2 - 12033*h**3 + 4 - 1 - 5*h.\nAnswer: -38305*h**3 + h**2 - 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c + 37*c - 18*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.229972 + 0.23. Round k to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -l. Let v = -2 + 0.1. Let z = v + 1.5. What is the biggest value in l, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20934251?\nAnswer: 13, 433, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + ((-12)\/(-10))\/((-3)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761928.\nAnswer: 2, 3, 53, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 26210991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 20*k - 83. Let o(n) = n**3 - n**2 - n + 24. What is o(k)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855481 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.035 and 0.172309.\nAnswer: -0.006030815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 66859.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 5. Suppose 0*r - 4*q = 3*r - l, 4*r + q = 9. Solve -3*o - 11 = -r*h, 5*h - 2*o - 25 = 3*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5980?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 17*q**2 + 48*q + 11. Give s(-6).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/90)\/((-966)\/(-207)*(-5)\/30)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173.8908 + 174. Let j = -0.0621 + y. What is j rounded to 3 decimal places?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 179*s + 2868. Determine u(-17).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136*-13.\nAnswer: -14768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/30 - w**4\/2 + 85*w**2 + 24*w. Let z(l) be the first derivative of k(l). Factor z(m).\nAnswer: 2*m*(m - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/14*(1394\/(-1) + 4). Let s = 99 - g. What is the closest to s in -3\/2, -2\/11, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2862 - 215*s**2 + 291*s**2 - 78*s**2.\nAnswer: -2*s**2 - 2862","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thut when four letters picked without replacement from uutuuthuuuuuutututuu.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.2 + 66.65. Round h to 0 dps.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.407 and 1.\nAnswer: 0.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*(-27)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.4 (b) 1\/263 (c) 5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.9.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -52.14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 104 - 655. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:42 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**4\/72 - 23*o**3\/18 + 8*o**2 - 1140*o. Factor j(d).\nAnswer: -(d - 2)*(d + 48)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1805\/225 - (-272)\/(-34). Let c = -0.05 - 2.95. Let g = 3 + c. Is g at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let k = z + 2. Suppose k*d - 2 = -4. Which is the third biggest value? (a) 1\/5 (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 1 + -3 + 5 + 8 + -29?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 7*t = 50. Let u = 18 + t. Is (-9*u)\/(-4) + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102184.\nAnswer: 2, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 633*g**2. Let m(r) = 99156*r. Give p(m(c)).\nAnswer: 6223600508688*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 158036529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*z + 102 = -10, -2*y + 36 = -3*z. Let p be y\/(-4)*3\/(-6). Suppose -p*d - d + r = -8, -r = 3*d - 13. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/1224*(-8)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 45, 0.4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 10*g - 9. Let c be z(-9). Suppose -s + 52 - 20 = c. Let w = 18 + s. What is the greatest common factor of w and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-45))\/((-4)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 22*b**2 - 26*b + 54. Let k be q(21). List the prime factors of 34\/k*3606\/(-4)*1.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5083968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 4*t = -11 - 33, 2*k + 5*t - 55 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11043 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 1500?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3969725499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 - 114. Let j(z) = -3*z**2 + 23*z - 13. Let l be j(k). Solve m = 5*u + 14, 2*m = u - 0 + l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 458538, 916502, 1374466, 1832430, 2290394, 2748358?\n\"Answer: 457964*l + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -105. Let k be (-2)\/6 - 11\/i. Solve k = -3*l - 0*v - 4*v + 4, l + 4 = 4*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -3 (c) -687994\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 188, 383, 634, 929?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*(n*n*n**(-4)*n)\/n)*n**(1\/4)*(n\/(n*n**(1\/3)))\/n**(-3) assuming n is positive.\nAnswer: n**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-6 - 13) + -3 + 9 - -7)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 267*i + 136*i - 9 + 136*i.\nAnswer: 5*i - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - 84. Let k = 39 - q. Put -0.4, -1, k in descending order.\nAnswer: k, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*u = -6*d + 4, 0 = -4*d + 5*u + 13. What is the derivative of -3 + v**2 + 0 + d*v**2 - v**2 wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1472, 1556, 1640?\n\"Answer: 84*y + 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11\/152, 0.59, -5 in descending order.\nAnswer: 4, 0.59, -11\/152, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 4. Let b be c(-3). Let x(q) = -338*q + 147*q - 3 + 199*q. Let v(p) = 9*p - 4. Determine b*v(n) + 6*x(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -1245627 and 3.\nAnswer: -1245624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/315 and 157\/10710?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 5*m**2 - 840 + 840 - 9*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*q - 4*m, -3*q + 1 = -2*m - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 3*q - 226*q**2 + 474*q**2 - 1 - 235*q**2 + 0*q as k*q**2 + d + o*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - -2*sqrt(243))\/sqrt(9)*-5.\nAnswer: -45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 149*z**2 - 205*z + 941. What are the prime factors of v(-150)?\nAnswer: 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-56)\/(-24) + -2 + 2045\/210)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -7*u**6\/20 + 6*u**5\/5 - 11*u**4\/8 + u**3\/2 + 3*u + 3. Let q(k) be the first derivative of v(k). Solve q(t) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -36\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 55 = -f + 2*f, -192 = -4*f - 2*w. Let s = 34013 - 33875. Let i = s - f. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421314 = 86*y - 155*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4475, 17842, 40119, 71306?\nAnswer: 111403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 53*v**2 - v - 2. Calculate the lowest common multiple of 14 and o(-1).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 181344590 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*x**3 + 1579956*x**2 + 1579965*x + 394992.\nAnswer: -3*(x - 131664)*(2*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) 12.5 (c) -3 (d) -2 (e) -306 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = -65399*m + 65094*m. Let -36\/7*z + 60\/7 + 3\/7*z**m = 0. Calculate z.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 10*i**2 - 14*i + 13. Determine h(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22944 - -37989. 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 distance between 0.4 and 353.4?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 - 7*v**2 - v - 1. Let m be 4*(-1)\/16 - 11\/4. Let p be x(m). Let i = p + 238. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*a**4 + 22*a**4 + 8*a**5 + (3*a**4 - 2*a**4 + 0*a**4)*(-3*a - a + 5*a) + (a - 2*a - a)*(3*a**4 + a**4 - 6*a**4).\nAnswer: 13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/25)*o*o)\/o)\/o**(1\/16))\/(o**(2\/17)*o**(-6\/7)\/o) assuming o is positive.\nAnswer: o**(123617\/47600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5 + 1956*i**4 + 30940*i**3 + 150360*i**2 + 277218*i + 155844 = 0.\nAnswer: -962, -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 259.9389137 to the nearest integer.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000050584806 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1722*i**3*x**3 - 1818*i**3 + i**2 + x**3 + 2*x + 2 wrt x.\nAnswer: 5166*i**3*x**2 + 3*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t - 11*t + 40*t = 8*i + 24, -t + 18 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 5*h**2 + 6*h + 2. Let i be j(6). Let o(k) = 17*k**i + 17*k - 40*k**3 + 9 + 41*k**3 + 19. Let z be o(-16). Solve s = -3*s - z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 94 - 24 = 2*p, 3*m + 326 = -5*p. Let j = p + 259\/4. Which is the second biggest value? (a) j (b) 5 (c) -5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19000 and 93875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*r + r + 59 = 0, 3*k + 2*r - 177 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*l - 2*l. Solve 0*b + 10 = l*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -26. Let f be 6\/4*(-2)\/3. What is the smallest value in v, -0.3, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018683 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 7*c**5\/4 + 7*c**2 + 9*c - 1. Find the first derivative of l(p) wrt p.\nAnswer: 105*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - ((45 + -24 - -83) + -17).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478099153 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6578177.94336172 - 5.\nAnswer: -6578182.94336172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/4 - 7*i**3 - 13*i**2 - 5*i - 6325. Calculate r(22).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 6768?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17243 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkip when four letters picked without replacement from ipiiykp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 + 3 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b. Let m be s(5). Suppose 2*y - m + 24 = 0. What is the units digit of (6\/4)\/(y\/(-126))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 9*l + 16. Calculate the remainder when 31 is divided by u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435 and 32335.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 292 and 27?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -4, 1\/3, -0.5, -4\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*w + 978 = -952 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0*w**10\/w*w)\/((w\/w**(-1\/5))\/w**11))**14 assuming w is positive.\nAnswer: w**(1456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*x + 9 = -19, 0 = -4*g - x + 38. Let l(w) = w**3 - 9*w**2 + 8*w - 12. What is the tens digit of l(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 190 + -112?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 50695519?\nAnswer: -2\/50695519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/4 - 7*g**3\/3 + 13*g**2\/2 + 8*g + 25. What is the smallest common multiple of 10 and o(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-3)\/6*4). Let d = -1 - g. What is the third derivative of 2*j**4 + d*j**4 + 2*j**2 - j**4 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 26)*(3*y**4 - 2*y**2 + 2*y**2) as j*y**4 + r + b*y**3 + w*y + g*y**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 12847560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25159 - -35319. What is p rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**5 + 3*w**5 - 2*w**5 + 2*w**2 + w**5 - 2*w**2 + (-2*w**4 + 2*w**4 + w**4)*(-2 + w + 2) + (-w**2 + 2 - 2)*(-25*w + 1881*w**3 - 18*w - 13*w + 56*w).\nAnswer: -1873*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-5))\/((-5)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - -24. Calculate the remainder when (15 - 8 - 9)*171\/(-2) is divided by g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 188?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*r**2 - 28*r**2 - 33*r**2.\nAnswer: -153*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.007081 and 0.005.\nAnswer: 0.012081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, e: 5, a: 4}. Give prob of sequence ee.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**3 + 5*p**2 + 7*p + 7. Let y(g) = 5*g**3 + 5*g**2 + 6*g + 6. Let m(j) = -2*i(j) + 3*y(j). Determine m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474340819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-1))\/((2183\/59)\/(-74))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.052 - -0.676. Let f = 0.196 - d. What is f rounded to 2 decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 4. Let o = 4 - l. Let q = o + -3. Solve -4*j = -4*y + 12, 0 = y - 5*y + q*j + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59\/102 - -3\/34. What is the closest to 0 in y, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/4)\/(d**0\/d)*(d**(2\/3))**(-45))\/((d\/(d*d*d**(3\/4)\/d))\/d*d*d**(-6)\/d)**(-11\/2) assuming d is positive.\nAnswer: d**(-567\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(96)\/sqrt(8))**2.\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*((3*sqrt(16)\/(sqrt(8) + sqrt(8)*-2*-5))**2 - ((sqrt(2)*-2 + -5)**2 - sqrt(40)\/sqrt(5))).\nAnswer: 90*sqrt(2) + 19875\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/((-10)\/(-200)*-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/3 + 20*o + 888. Let q(k) = -6*k**2. What is q(a(m))?\nAnswer: -6*m**4 - 240*m**2 - 2400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001475 rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5782410*q**2. Let y(f) = -15*f**2. What is b(y(g))?\nAnswer: -1301042250*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 355*x + 3762598 - 3737038 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2162, 4346, 6528, 8708?\n\"Answer: -l**2 + 2187*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00143 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 1 = 2*w, 9*u + 15 = -4*w - 4*u + 8*u - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64, -109, -282, -455?\n\"Answer: -173*r + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200388037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*f - 452. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 436\/(-545)*2\/(-4). What is the nearest to p in 0.5, 29.4, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -20*a**2 + a - 1. Let l(u) = -u**3 - 104*u**2 + 104*u - 104. Let c be l(-105). Give m(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 730729025 - 730729014 + 3*u.\nAnswer: 2*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 6. Let d(s) = s. Let j be d(5). Calculate o(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 - 2361*q**2\/2 + 59433*q\/2 - 57075\/2.\nAnswer: 3*(q - 761)*(q - 25)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 13911*q + 83123. Calculate m(-6).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2, -5\/28, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n - 4*n)*(5 + 25 + 27).\nAnswer: -114*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 154?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Suppose -10 - 6*q**5 + 16*q**w - 6*q**5 - 8*q**4 + 10 + 8*q**2 - 4*q = 0. What is q?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 266 = -2*i. Suppose 37 = -3*g - 494. Let k = g - i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -13\/3*g**3 + 3\/5*g**5 - 2\/3*g**4 - 6*g**2 + 2\/15*g**6 + 108*g + 0 - 1\/21*g**7. Find v, given that w(v) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 + 2*h**2 + 2*h + 2. What is d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14589 divided by -436\nAnswer: -14589\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39191 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285184.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4941 and 6893.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(1120\/18))\/((90\/8)\/(-15))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**6\/90 + w**5\/30 - w**4\/3 - 47*w**3\/6 - 10*w + 2. Let l(u) be the second derivative of j(u). Factor l(y).\nAnswer: 4*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - g + 8, 5*g = -4*l - 17. Let i be ((-3)\/(-2))\/l*-2 + 1. Solve i*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 7, 17, 33?\n\"Answer: 3*l**2 - 5*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -241*k + 138*k + 4 + 165*k. Let x(s) = 3*s. What is j(x(g))?\nAnswer: 186*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**3 - 18*f**2 - 31*f + 59. Let t(u) = -7*u**3 - 17*u**2 - 33*u + 58. Let s(x) = -4*k(x) + 3*t(x). Give s(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000000268 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 65832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801962 is divided by 320?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {p: 2, g: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l + 12. What is the remainder when p(-23) is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 15\/(-30) + 70\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m**(4\/7)\/m))\/m*m)\/m*m)\/m)**(-1\/2)*((m**(1\/6)*m)\/m)\/(m*m\/m**(1\/12)*m) assuming m is positive.\nAnswer: m**(-83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137 + 142. Suppose 4*r + 1470 = 2*v, 0 = v - 4*v - o*r + 2260. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/134? (a) 5 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*s**3 - 1798*s**2 - 1391*s + 398.\nAnswer: -(s + 1)*(s + 199)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71427 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/8*8)\/((-69)\/69)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7. Let s = -0.075 - -0.075. Let j = 10.6 + -6.6. What is the second biggest value in j, -1, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Suppose -5*v + 12 = -10*v + 3*j, -j + 4 = t. Suppose v*z = z - 33. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/41 in -93, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513901607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*17\/(-1309)*(-363)\/(-99)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**3 + 6*v**2 + 2*v - 6. Let a(k) = -13*k**3 - 18*k**2 - 7*k + 17. Let z(p) = 2*a(p) + 7*y(p). Factor z(f).\nAnswer: 2*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -w, 0 = 28*j - 33*j + 5*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 - 390 - 716 = 80*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(27) + sqrt(27) + 2)*-5 - (6*-1*sqrt(432) - sqrt(432))**2)*-2.\nAnswer: -127068 - 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqj when three letters picked without replacement from {q: 11, j: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1881500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 577269198 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242\/63 + 32\/9. Let o = 0.7 - 0.3. Let n = o - 0.3. Which is the nearest to n? (a) p (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 126. Let o be g(36). Solve -o*b + 8*b + 50 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 0.13739041779216.\nAnswer: -0.16260958220784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -738\/391? (a) -13 (b) -1 (c) -0.4 (d) 5 (e) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f - -2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 248822227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5420?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3)\/((-1180)\/(490\/49))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - -1636. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 + 95 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.1 - 0.9. Let v = i - -15.3. Let m = 251\/186 - 1\/62. What is the closest to 1\/3 in v, m, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:24 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*x = 16*x - 49*x - 3828 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 24. Let f be 4\/(-6)*a\/(-1). Solve f*n + 17 = -3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 229*t**2 + 2*t - 2. Let q(f) = 41448*f**2 + 363*f - 363. Determine 1089*b(z) - 6*q(z).\nAnswer: 693*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -14*y - 4. Calculate the lowest common multiple of 18 and l(-13).\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*t - 329*t + 112*t.\nAnswer: -318*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/1)\/((17\/34)\/(7\/(-28))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1422620751 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58696 - -59657.34. Round c to the nearest ten.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-3)\/(-30)*4*-5. Let 15*x**4 + 6*x**3 - 4*x - 10*x**4 - 2*x - 2*x**w - 3*x**4 = 0. What is x?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 36*f**2 + 68*f + 9. Determine l(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2030 - -201?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 4770*i + 38032.\nAnswer: 2*(i + 8)*(i + 2377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328 - 332 - 338 + 1336 - y - 338.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 1.6. Let i = 4.4 + l. Which is the second smallest value? (a) i (b) -1 (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2) + 0 + 2. Suppose o - 8 = f*o. Let t(n) = n**3 + 5*n**2 + 6*n + 5. Let j be t(o). Which is the second biggest value? (a) 0 (b) -1\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:23 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10011000111001?\nAnswer: -10011000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-23 - -67 - 29)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -268*b - 1083. Let c(o) = -o + 98. What is -22*c(m) - 2*u(m)?\nAnswer: 558*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -357887789598 take away 8.3?\nAnswer: -357887789606.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6064 - 3731. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000139128 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 4*h)*(84*h**3 - 1283*h**2 + 1283*h**2) + (-h**4 - 2*h**4 + 2*h**4)*(-6 - 5 + 4).\nAnswer: 91*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158829600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -31, -68, -137, -250?\n\"Answer: -2*z**3 + 2*z**2 - 9*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 3*q**2 + 2*q - 2*q - 2*q**2 + (3 - 3 - q)*(0*q + 3*q + 0*q) + (-q - 2*q + 5*q)*(1 - 1 - 5*q) as c + y*q**2 + t*q and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 11*l + 21*l - 66*l + 21*l + 12*l.\nAnswer: 12*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -241.6 + 330. Let w = s - 88. Which is the nearest to 0? (a) w (b) -3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**2 + 4*i + 7. Let f = -11 - -15. Let b(d) = f*d**2 - 10*d**2 - 5*d - 6 + 2*d. Calculate -5*b(g) - 4*v(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g**2 + 6*g - 6. Let i be y(4). Let x be i\/4*(0 - 0). Suppose x = q - 40 + 16. Solve 8*z = 4*l + 3*z - q, 2*l - 2*z - 10 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532 = -148*t + 922 - 418 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-11))\/(1131128\/(-150513))*((-7)\/(-9) + -1)?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b + b)*(2 - 2 + b**2)*(44 - 340 - 63).\nAnswer: -718*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -26. Let a = 23 - y. Is 5 a factor of (a + 2)*(-3)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*1\/3 + 1641. Let y = h - 15161. Let j = -189153\/14 - y. Calculate the common denominator of -57\/4 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/2 - 25110*i - 50215\/2.\nAnswer: -5*(i + 1)*(i + 10043)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(16\/3)*(v*v**7)\/v*v)\/(v**(-2\/11)\/v**23) assuming v is positive.\nAnswer: v**(886\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 580320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-45)*-66)\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 27933*l + 5 - 3 + 27925*l + 9 - 55859*l. Suppose -3*v + 11 + 13 = 0. What is t(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1213053?\nAnswer: -5\/1213053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1908\/13 or 146?\nAnswer: 1908\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -555384 + 4123532. Let z = 6360262 - 4428410. Let o = n + z. What is o rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = 3*y - 17*j + 7*j, 0 = y - 6*j + 7*j + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6840)\/608)\/((-23)\/(-184))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5991 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = -l + 10, r - 3*l = 6. Let j(z) = 10*z**2 - 5*z**2 + 2*z**2 - 5*z**2 - 7 + 6*z. Calculate the remainder when j(r) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/61, -1\/4, -236, 197 in descending order.\nAnswer: 197, 31\/61, -1\/4, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 343\/10 bigger than 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1074\/11 or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32474779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/41426880 and 29\/1424049?\nAnswer: 455695680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -14*r**3 - 4*r - 3. Let s be p(-2). Let b(o) = 4*o**2 + 2*o + 1. Let h be b(-2). Calculate the highest common factor of s and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -46. Let m(r) = -r**3 + 4*r**2 + 2*r + 12. Let w be m(y). Let g(s) = -s**3 - 4*s**2 - s + 1. What is g(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-32)\/(-2))*-18*-6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -6679 and 199734.\nAnswer: 193055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = -8. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101331173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5, 0 = -q - 2*q + 2*y + 1. Let x be (2 + -1)*(2 - q). Is 13 a factor of 2\/(x\/90*4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.1297545.\nAnswer: -0.1297545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 36 = 4*g. Suppose -4*j + 3*v = -27 - 6, -4*j + g*v = -36. Suppose -j*m + 130 = -14. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 30 + 20 - 107 - 69*f + 23 + 15. Let k(p) = p. Give u(k(g)).\nAnswer: -69*g - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/60 - 5*r**4\/24 - 3*r**3 + r**2. Let v = 5686 + -5678. What is j(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7232239 is divided by 384?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 0*c + 2*c - 6*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318776 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrzrqqqmmrqrrrz. Give prob of picking 2 m and 1 r.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 2*g + 3*g. Calculate the remainder when g is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200 + 202. Let j = 17 - 22. Sort j, w, -2.\nAnswer: j, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {t: 2, o: 7, s: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (2 - 3))*49. Suppose -2697 = -5*u - x, -21*x - 4 = -23*x. What is the greatest common divisor of i and u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 14*p. Let l be b(-1). Let j = l + 29. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*f - 26*f - 1436914 + 3585034. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 + h - 1 + 3*h + 5*h**2. Suppose 0 = 3*q - r - 8, -3*q - r = 3*r - 28. What is the remainder when d(-6) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-14) + -3 + (-1459)\/(-7). Suppose -2*z + 5 = 3*z, -z = 3*x - b. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1780 = -5*a, 9*a = 13*a - 4*n - 1432. List the prime factors of a.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**2 + 2*y - 13. Let u(c) = -8*c + 9. Let s(j) = 9*j**2. Let z be s(-1). Determine z*h(f) - 2*u(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -10. What is the remainder when f is divided by 10 - 1 - (1 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-143)\/(-29) - 80\/(-1160). List the prime factors of 180306\/265*d\/2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 + 119010311403626\nAnswer: 119010311403625.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127 is divided by 227?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 359, -5998 in decreasing order.\nAnswer: 359, 6, -5998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 3. Suppose 3*i - p + 2 = 4*i, 7 = -i - 4*p. Let g(n) = -n + 1. Let d be g(i). Let l(x) = -5*x + 8. Give d*l(q) + 11*h(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73422 or 146843\/2?\nAnswer: 73422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884430\/65 + 120\/(-520)?\nAnswer: 53, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -2\/5 (c) -4\/7 (d) -4.7 (e) 2\/23 (f) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 37. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 - 80331*a**2 + 0 + 40159*a**2 + 40161*a**2 + 79*a to q*a + b + c*a**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000698788 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, w: 3, n: 2, f: 11}. Give prob of sequence wnf.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.0337 (b) -0.99 (c) 5\/6 (d) 0.3 (e) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -0.4 (b) -5 (c) -325 (d) 0.55 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.051, 3\/29, 72, 2\/3, -0.1?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 11302?\nAnswer: 11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 10 - (21 + -8 + -4) - -17\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 14 = 4*q, -4*q + 3593*o + 54 = 3595*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - f + 0*f - 3*f - 4. Let z(o) = -2*o - 5. What is 4*i(u) - 3*z(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 + h**2 - 17*h - 7. Determine y(-6).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 1 - (47 - 17) - (0 - (2 - -70))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767063184.\nAnswer: 2, 3, 269, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-180)\/15)\/12)\/(23*1\/(-2))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96090?\nAnswer: 2, 3, 5, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3 (c) -0.6 (d) -1\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 13*u - 6. Let x = -103 - -106. Does 10 divide f(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3896030, 7792012, 11687994, 15583976, 19479958?\n\"Answer: 3895982*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207060 and 138040?\nAnswer: 414120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 2*b + 0 + 92*b**2 - b**3 - 94*b**2 + 1. Let j be t(-1). Solve 4*o + 4*g + 24 = -0*o, j = o + 4*g + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7*q + 1528. Is (-6)\/24 - 134*q\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*d + 13, -2*d = -3*p + 10 + 12. Solve -5*i = -4*s - 17, -2*s + i = p - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 2*p = 14*l - 1399, -5*l - 4*p - 1417 = 0. Let h = 301 + l. Solve -2*i + 6*i = -h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - g + g + g**3 - 9*g**2 + 9*g**2 + (7*g + 5*g**2 - 7*g)*(0*g - 2*g + g) + 0*g**3 + 4 - 7 + g**3.\nAnswer: -2*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 8. Let h = w + 2. Which is the closest to 0.1? (a) h (b) 5\/3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/14 + 408\/(-28). Let l be (-4)\/(-20) + (-42)\/k. Is 49 - (-2)\/(l - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/151364 or 0?\nAnswer: 1\/151364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4368902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3 = -0*m - 5*m, 0 = 2*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -66702792?\nAnswer: 1\/33351396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1467 = -8*u - 459. Let q = u + -1132\/9. Which is the third smallest value? (a) -11 (b) q (c) 3 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 2*p - 10*p)*(-p + 0*p - 2*p) - 73*p**2 + 28*p**2 + 35*p**2 to k*p + o + s*p**2 and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -1, -14, -47, -106, -197?\n\"Answer: -r**3 - r**2 + 11*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, b: 3}. Give prob of sequence nb.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from xcfcpcffcfc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6230 + -6229. Is d bigger than -170\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14808171 - -4.\nAnswer: -14808167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098 less than 585.4?\nAnswer: 585.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -23*i**3 - i + i + 22*i**3. Calculate t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -121, -315, -535, -781, -1053, -1351, -1675?\n\"Answer: -13*n**2 - 155*n + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(2\/3)*h**(-4)*(h*((h\/h**5)\/h)\/h*h)\/(h\/(h\/h**6)) assuming h is positive.\nAnswer: h**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16 + (-1)\/((-3)\/(-9)). Let i = u - -25. Let s be (i - 1)\/(5\/10). What is the highest common factor of 40 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.039? (a) 5 (b) -2 (c) 3 (d) -15778 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, m: 8}. What is prob of sequence mymm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29645 and 101339315.\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -2, 1 in descending order.\nAnswer: 1, -2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6dd37 (base 16) in base 8?\nAnswer: -1556467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7610 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2700) - (-1 + sqrt(2700) - sqrt(2700))) + sqrt(2700))**2 - sqrt(2700))*-5.\nAnswer: -54005 - 450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 73639203.9 to the nearest one hundred thousand.\nAnswer: 73600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 10. Suppose 4*l - 3 - d = 2*q, 2*q = 10. Suppose -4*v + 6*a - a = -115, v - l*a - 40 = 0. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 - q - 1. Let f be b(0). Sort f, -4, 0 in descending order.\nAnswer: 0, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15*s - 1. Let o be p(-1). Let k = 101\/6 + o. What is the common denominator of ((-3)\/(-45))\/((-4)\/(-10)) and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1709 = -3*h + 4*p, 6*h - 1101 = 4*h - 5*p. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c*c\/(((c*c**(-9))\/c)\/c*c))\/c))\/c)\/((c\/c**(4\/3))\/c))\/((c**(-5)*c)\/c**(1\/5)))**10 assuming c is positive.\nAnswer: c**(-134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = b, 0 = -5*r - 4*b + 1127. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336015?\nAnswer: 5, 267203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -138, -275, -412?\n\"Answer: -137*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320221231 (base 4) in base 14?\nAnswer: 607c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 41 = -7. Let p be 1 + (v\/(-12) - (-2)\/(-6)). Solve p = -r + 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/3))\/((s\/(s**(-1)\/s))\/s))**(1\/14))**(2\/13) assuming s is positive.\nAnswer: s**(-1\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (288\/(-48))\/(2\/6*-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -553803 - -19?\nAnswer: -553795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 4 - 17*h**2 + 0*h + 4*h + 16*h**2 as g*h + u + w*h**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -16. Find the third derivative of 5*c**v - 55*c + 55*c + 5*c**3 wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281466 is divided by 2960?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*v + 37 = 0, -3*i - i - 63 = 5*v. Let h = -9 - i. Calculate the least common multiple of 10 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 5. Let s = 14 - 10. Let r(w) = w - 5. Let a(h) = s*r(h) - 3*m(h). Is a(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -198883*r + 198769*r + 1254 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + o = -18, 5*o - 6 = k + 4*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 130?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 - 429 - 358 - 92*r**3 + 91*r**3 + r + 67 as b*r + x + s*r**2 + f*r**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21.3074 + -1580720483\nAnswer: -1580720504.3074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**3 + 3*x**2 + x**3 - 2*x**2. What is the units digit of m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 11. Give c(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -848*k - 3640. Give p(-5).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/36 and 9\/24219*-2731 - (20\/(-5) + 3)?\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.9599996105 + 11.96. What is b rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 447*s - 3637. Let q be l(-8). Sort -1\/2, q, -0.06, 5, -0.02 in descending order.\nAnswer: 5, q, -0.02, -0.06, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-9)\/(-13)*((-3626)\/(-333))\/(-49).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 10:55 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -649.28776 to one decimal place.\nAnswer: -649.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**3*u - 736*s*u - 48*u - 7 wrt s.\nAnswer: 3*s**2*u - 736*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a**3 - 7*a**3 - 108 + 89*a**3 - 34*a**3 + 237.\nAnswer: 25*a**3 + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b**2*u**3 - 661*b**2*u - 77*b*u**3 + 9*b*u**2 + 2*b*u + 2 wrt b?\nAnswer: -26*u**3 - 1322*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8259899 rounded to one dp?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 215 divided by 6\nAnswer: 215\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/84)\/((-32)\/((-3360)\/(-135)))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2 + 13612*i - 5552224 = 0.\nAnswer: -7192, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64.64 + 12.6. Let l = 0.04 + c. Let r = -52.000425 - l. Round r to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**2 + 7*u - 1. Let b(m) = 6*m**2 - 1. Let h(l) = 12*l**2 + l - 2. Let p(y) = -11*b(y) + 6*h(y). Calculate 5*n(g) - 6*p(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.17, 1, -1\/3, -5, -0.02, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a + 5. Let k be (-20)\/50 - 56\/10. Let f(n) = -10*n + 6. Let d(z) = k*m(z) + 5*f(z). Let q(t) = 3*t**2. What is q(d(r))?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200 + -30?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -366, 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 5*f + 30, 2*l = l + 3*f + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12055547 divided by 1?\nAnswer: -12055547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(6\/((-7 - -3) + 6) + (-51)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1190*-28 + 2\/(-15)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from tcvvvtvtctvvicvvvv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -543810, -1087629, -1631448?\n\"Answer: -543819*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 17*o - 48. Let g be d(20). Let l = 69 + g. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -2 (b) -53 (c) 3838 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 47.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2865 by 5.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32201121100 - -1120?\nAnswer: 32201122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w + 32*w + 18*w = -126 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 10, 3 in ascending order.\nAnswer: -5, -3, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30166184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2882 and 1465223210?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + 9 + -4 + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 3322.\nAnswer: 13288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 161 + 119 = 0. Which is the closest to -3? (a) 21 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -144, -95, 6, 177, 436?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.4, 1129, -9, -1.3 in descending order.\nAnswer: 1129, 0.4, -2\/5, -1.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -r - 0*r - 12, -5*w = r - 20. Suppose r = -c - 4, 4*h + 3*c - 84 = 7*c. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2728 + 0 - (0 - 2). Suppose -5*h + 177 = 5*a - 2523, 0 = -5*a + h + s. Suppose 0*c + a = 5*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 22*z**2 - 27*z + 2. Let l be p(4). Let r = l - 243. Let q = -0.4 - -0.3. Which is the closest to q? (a) 4 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q**3 + 10*q**2 - 167*q - 59. Is g(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26706000 rounded to the nearest one hundred thousand?\nAnswer: 26700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 726111568 to the power of 1\/2, to the nearest integer?\nAnswer: 26946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Suppose 0 = -m*r - 10, -g + r = -4*r - 12. Suppose -3*k = -7*k - h + 17, 2*k + 4*h = -g. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137096 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 - 4*q**2 + 8 + 5*q**2 + 2*q**2. Let y be c(-4). Let x = -4 - y. What is the third smallest value in x, 3, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 46*i + 22 = 0. What is i?\nAnswer: 1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1263*j**2 + j + 6. Let p(h) = 1264*h**2 - h - 4. What is 4*n(z) + 6*p(z)?\nAnswer: 2532*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -22, -16?\n\"Answer: 6*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096642 minus 0.19?\nAnswer: -0.286642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -17. Suppose -5*g + 2*g + 96 = u. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*m + 73 = 55, 0 = 2*f + m + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + v + 336 = 18*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101 + 111101111001?\nAnswer: 111111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8874.36 millennia to centuries.\nAnswer: 88743.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(2\/2))\/((-1)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26680711.\nAnswer: 26680711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -1\/2, 13\/34, 30153 in ascending order.\nAnswer: -1\/2, -2\/21, 13\/34, 30153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.16385063 to 1 dp.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2383 - 2353. Let w = 16 - 10. Calculate the remainder when 4\/w + (-50)\/(-6) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -7) + -11 - (-5 + -1 - (-4 + 6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1366 - -1311 - (68 + 3)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.98 + -12.32. Let k = -13 - s. Is 2\/23 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12221001 and 7839?\nAnswer: 12221001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 not equal to 181\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*p - 170*p + 169*p + 262*p + 114*p.\nAnswer: 590*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*a = -25464 + 25459, 5*r + 15 = 5*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**16\/o*(o\/(o**(-15)\/o))\/o assuming o is positive.\nAnswer: o**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3816826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 40. Let y be (-3)\/((-126)\/a + 3). Does 2 divide (-1)\/(-3)*(y + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: bb50 (base 13) to base 6\nAnswer: 320443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 25322*g**2 + 264*g - 88. Let s(t) = 1447*t**2 + 15*t - 5. Calculate -5*k(q) + 88*s(q).\nAnswer: 726*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 3*l + 12. Suppose 5*g + 53 - 4 = 4*d, -5*d + 68 = -4*g. What is the remainder when m(6) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-879 - 226 + 75 + 124)*(-2*m**3 + m**3 + 2*m**3).\nAnswer: -906*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*t**5*y**2 + 732149*t**5 - 14*t**2*y**2 + 4*t**2*y + 20*t**2 - t*y + 29*y wrt t?\nAnswer: -660*t**2*y**2 + 43928940*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 13*y - 16, -p - 5*y + 36 = 0. Find the common denominator of (-19)\/((-1)\/(12\/p)) and -157\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55.049 + 55. Let t = -4.049 - k. Which is the third smallest value? (a) t (b) 0.1 (c) -0.04 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 746.9198 microseconds?\nAnswer: 0.0007469198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 3*o - 2*o)*(-o - o + o) + 13*o**2 - 8*o**2 - 3*o**2 - 35*o.\nAnswer: o**2 - 35*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 + 17.86. Let g = 16 - a. Sort -5, -3\/7, g in increasing order.\nAnswer: -5, g, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Suppose 0 = 6*k - 52*k. Solve -4*j + k*j - 23 = 3*u, -4*u - 24 = d*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1570832, -1570851, -1570870, -1570889?\n\"Answer: -19*l - 1570813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7040 and 588544.\nAnswer: 2942720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 495*t - 766. What is the thousands digit of z(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 3771.90196422457.\nAnswer: 3767.90196422457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -116.371 and -2.461?\nAnswer: 286.389031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3902.05 - -3902. Which is the closest to 1? (a) 0.1 (b) -3\/8 (c) o (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24754162 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (769 - 776) + 17 + -1 + -11 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17632677?\nAnswer: 3, 5877559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.44 - 0.5. Let r = x + 4.06. Let m = 837 + -834. Which is the third smallest value? (a) 3\/4 (b) m (c) 2\/5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 20, 2, -44, -124, -244, -410, -628?\n\"Answer: -n**3 - 5*n**2 + 26*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujujjjju. Give prob of sequence ju.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5\/4, -0.4, 378, -0.3, -0.1, -0.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28764 and 576?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 53 = 2*v, -4*v + 49 = -2*l + 179. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42932.\nAnswer: 2, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.930674 to one decimal place.\nAnswer: -83.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - -1)\/((-55)\/(-22)). Solve -4*b + 20 = 3*w, -b - b + 10 = -i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w**3 + 5*w**2 - w - 4. Let t(q) = -50*q**3 - 19*q**2 + 3*q + 16. Let j(b) = 9*o(b) + 2*t(b). Suppose -4*r + 21 = -3. Determine j(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (372\/(-2480))\/((18\/10)\/(-1))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:28 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 3, f: 3, r: 1, g: 6}. Give prob of picking 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 1?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 267 + -37?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**3 - 4*u**3 - u**3)*(399*u - 444*u - 61 + 89) to the form r + n*u**2 + s*u**3 + t*u + l*u**4 and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4620\/(-1320))\/(-1*(-2)\/12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.016? (a) -1 (b) -3 (c) -0.1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 2*c. Suppose 19 = c*p - 20. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 86 = 2*h, 2*h - 229 = -3*x - 2*x. Suppose x = -2*q + 117. What are the prime factors of (-3295)\/(-45) + (-8)\/q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-51)\/(-2)*10\/15. Suppose 0 = -3*x + 7 + s. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 11*c + 36. What is the greatest common factor of 21 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l - 7. Let j(i) = 4*i - 8. Suppose -66 = -10*m - m. What is m*q(g) - 5*j(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6767 + 6788. Solve k = -4*d - 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - -1c67dd?\nAnswer: 1c67ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2053 (base 6) to base 13\nAnswer: -29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/1330*-1 - 752\/8260?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (3 + -9)) + ((-3 - 43) + 9 - -15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828142 is divided by 20193?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -768\/743 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - -2.95. Let t = -454512\/5 - -90903. What is the biggest value in t, w, 1\/4, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18 + -195*(-13)\/234?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-210 + 210 - 17*r - 2*r + r + 3*r + 2*r - 4*r + 3*r + (-3 - 2 + 3)*(3*r + 3*r - 4*r))*(2 - 2 + 1) to the form s*r + i and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -96*f. Let s = 327 - 331. Let p(c) = c**2 - c + 1. Let v(i) = -3*i**2 + 2*i - 2. Let h(r) = s*p(r) - 2*v(r). Give h(g(d)).\nAnswer: 18432*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Suppose h = -c - 5*w + 14, 0*c - 5 = -c - 2*w. Let q be 30\/(-4)*(c - 1). Calculate the highest common divisor of q and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 652 = 644 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(56\/6)\/(-7)*30\/(-120).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - j**2 - 639119065*j + 18*j**2 + 639119065*j.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, a: 2, r: 1}. Give prob of sequence aa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 2. Let r(y) = 14*y - 5. Let t(b) = 5*c(b) - 2*r(b). Let j(q) be the second derivative of 2*q**3\/3 + q**2\/2 - 14*q. Give t(j(w)).\nAnswer: 8*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5*3\/(9\/(-30)). Suppose 30 = 3*r - 18. What is the highest common divisor of r and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/5 (b) -5 (c) -69 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/13 - 1331532*l**2\/13 + 223754162*l\/13 + 17314284 = 0. What is l?\nAnswer: -665934, -1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407289627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**5\/60 - p**4\/24 + p**3\/3 - 2*p. Let i(n) be the second derivative of a(n). Suppose 18 = -5*r - r. Determine i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*b + 65, 3*k + 3*b - 47 = -b. Let f(y) be the first derivative of -y**3\/3 + 5*y**2 - 8*y - 3. What is the units digit of f(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*j**2 + 179396*j + 17940.\nAnswer: -4*(j - 4485)*(10*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b**2. Suppose 252 - 72 = 6*r. Let n(o) = -65 + o**2 + r + 35. Determine n(v(i)).\nAnswer: 484*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 468003734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 323*t**3 - t**2 + 14*t - 13. Let k be y(1). Calculate the highest common divisor of k and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8704 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 9*v - 4*v in the form t*v + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/74514, -2, -623?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -41.7 (b) 3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -120*9\/78*(-585)\/(-270)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 - 135. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) + 73909\/44. Suppose z = 16*l - 592. Let y(s) = 2*s**2 + s. What is the remainder when l is divided by y(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - k = 190228, 749*k = 747*k + 14. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15060 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 529 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-15) + 5\/(-3). Let q = -1.294 - -0.894. What is the nearest to r in -4, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*q = 10, -3*q + 2*q - 7 = -m. Let u(o) = 3*o**2 - 8*o - 5. Is u(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*f - 111*f - 42 = 2*n, -f - 5 = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12661996*p**6 - 3*p**5 + 459*p**2 - p - 24564 wrt p.\nAnswer: -1519439520*p**3 - 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46472820, 46472819, 46472818, 46472817, 46472816, 46472815?\nAnswer: 46472814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*i - 261, 7*i - 3*i = -3*x + 313. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/20 + s**4 - 7*s**3\/6 + 6*s**2 + 9*s. What is the tens digit of m(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1303, -1468, -1955, -2926, -4543, -6968, -10363, -14890?\nAnswer: -20711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + sqrt(7) + 2 - (sqrt(175)*2)**2.\nAnswer: -696 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from {x: 2, u: 10, v: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27666260.\nAnswer: 2, 5, 31, 44623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -23. Let c(f) be the third derivative of 0 + x*f + 0*f**3 + 0*f**5 + 2*f**2 + 1\/24*f**4 - 1\/60*f**6. What is the second derivative of c(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-4))\/(1\/(-60)). Suppose -d = -b + 6*b. Let a = -19 - b. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -51. Which is the nearest to q? (a) -0.4 (b) 5\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-7*1\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3\/(1617\/217 - 7))\/((-1)\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - i**2 - i. Let f(o) = -o**3 + 2*o**2 - 25*o. Let u(k) = f(k) + 2*x(k). Factor u(g).\nAnswer: 3*g*(g - 3)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*c, 5*c = -7*x + 4*x + 2. Let k be (3 - 13)*3\/x. Suppose 5*a = 2*a + k. What is the smallest common multiple of a and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/59)*i)\/(i**(1\/6)*i))\/(i**(2\/49))**(15\/7) assuming i is positive.\nAnswer: i**(86449\/121422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 5*i + 8. Let f be s(-6). Let r(z) = 4*z - 3. Let v be r(2). Let y(u) = -u**f + v*u**3 - 6*u**3 - 1 - 5 + 2. What is y(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 7994.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*l**3 + 156*l**3 - 29*l**3 - 5*l to z*l + y*l**2 + q + w*l**3 and give w.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/297*927 - (-10)\/6. List the prime factors of 1442\/4 - 18\/p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/12 - g**3\/6 + 25*g**2\/2 - 3*g. Let s be o(0). Suppose s = 5*t + 5*n, 2*n + 3*n = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:37 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 22*d - 220. Suppose 5*h = 66 - 16. Let w be a(h). What is w rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 0)\/(-3)*1. Suppose -41 = -3*o + 4*m, -m = 4 + b. Let z(n) = -n + 7. Determine z(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -21656*z + 1667493. Calculate w(77).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -29165192\/25 < -1166608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 2288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*(-20)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11578849 is divided by 1835?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 160, 708, 1726, 3298, 5508, 8440, 12178, 16806?\n\"Answer: 14*t**3 + 151*t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277228 is divided by 46204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -616 (base 7) to base 9\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1639020.9562 - 0.5\nAnswer: -1639021.4562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*(-1215)\/(-1782)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 18*z - 112. Let p be c(-5). Suppose 5*s - 939 = -3*f, -2*s + 3*f = -p*s + 195. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 200, 715, -115 in ascending order.\nAnswer: -115, 200, 715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (4*-1*sqrt(1584))**2 + ((-2 + 1 + sqrt(1584))*1)**2).\nAnswer: -24*sqrt(11) + 26933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-14 + 14 + 12 + -21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 16, 2*m = z - 4*z + 12. Suppose -11*u + u + 510 = m. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 11 - 3. Suppose -n + 1 = 0, 6*m - v*m = -5*n - 7. Put -1, 0, m in descending order.\nAnswer: 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 19239249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7736 + 7739. Solve z*w = k - w + 2, 2*w - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 3*k - 2, -370*k - 24 = 5*g - 372*k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 13)*(0*l**3 + 5*l**3 - 3*l**3) in the form w*l**2 + x*l**3 + g + i*l and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152\/3 - 52. Find the common denominator of o and -41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 10*a**2 - 21*a - 36. Let z be l(12). What is the nearest to 23 in z, 4\/5, -3\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9690 by -1.\nAnswer: 9690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q**3 - 57*q**3 - 156*q**2 + 44*q**3 = 0. What is q?\nAnswer: 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6270 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 774 + -783. What is the fourth smallest value in 2, j, -2\/5, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 48. Let j = 0.2 + -2.2. Let x = s + j. Is -2\/3 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n + 39. Let y be b(-3). Suppose 2*i - 5*r = 0, 4*i = -0*i + y*r. Solve 2*c + 9 + 1 = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 - 231 = -4*w. What is the greatest common factor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -4, 0, -1, 1, -2 in descending order.\nAnswer: 1, 0, -1, -2, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r\/r**3)\/(r*r**7\/r*(r*r*r**(-1\/4))\/r) assuming r is positive.\nAnswer: r**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19513, -19516, -19519, -19522?\nAnswer: -19525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2635555*s**2 - 116*s + 716. Let v be r(6). What is v rounded to the nearest one million?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 3:07 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = -2*p + p, 49 = 4*y - 5*p. What is the tens digit of ((-80)\/y)\/((-1)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*i**3 + 2*i*q**2 - 11*q**2 wrt i.\nAnswer: 192*i**2 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1088364490 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1937*s**2 + 86826 - 86826 to the form y*s**2 + k*s + i and give y.\nAnswer: 1937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 3*w + 1. Let f be (-5 - 42\/(-7)) + 1 + 2. Let b(m) = 2*m**2 - 2*m + 2. Give f*g(z) - 5*b(z).\nAnswer: -2*z**2 - 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 3. Let q = w + 0. What is the nearest to 1 in q, -2\/5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1598 - 1598. Solve 0 = -10*q + 9*q + 5*j - 24, u = 5*q + 3*j - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3477.3 + -3475. What is the closest to z in 0.3, -4, 3\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((19\/(-38))\/(-3 - -2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 459, 787, 1115, 1443, 1771, 2099?\n\"Answer: 328*x + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1353 or 2151?\nAnswer: 1353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41.3 and 0.2?\nAnswer: -8.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/1)\/((-26)\/3 + 9). Which is greater: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -38 - (5 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 439 - 418. Calculate the highest common divisor of s and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-2)\/(-6)) + -14 + 11. What is the nearest to -2\/7 in -0.4, 4\/5, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 108523*p**2 + 0*p + 108522*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2779262*h**2*x**2 - 16019*h**2*x - 27*x**2 + 1594*x wrt x?\nAnswer: -5558524*h**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -41 (c) -0.6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/17, 31, 222, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/4 (b) -0.02 (c) -0.031 (d) 0.4 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -136, -343, -714, -1303, -2164?\n\"Answer: -9*l**3 - l**2 - 31*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*s**4 + 194*k**3*s**2 - k**3 - 131*k + 4*s**2 + 6 wrt s.\nAnswer: 8*k**3*s**3 + 388*k**3*s + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4139 = 27*h - 4517 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 36806.47 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9034)\/(-4700))\/(-1) + 2. Let s = t - -1\/470. What is the nearest to 2\/5 in 3, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**2 + 365*q + 370 = 0.\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46877.11528 rounded to the nearest ten?\nAnswer: 46880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 3:46 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*f - 176*f = -3144. Calculate the remainder when f is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140870498 to the power of 1\/2, to the nearest integer?\nAnswer: 11869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2 + 4*v + 2. Let z be t(-4). Suppose z = 3*l - 11. Let q be ((-2)\/3)\/(-2)*l. Solve 2*f = -q + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 4:51 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + -3 + (1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/s**(2\/25)*s**(-1\/3) assuming s is positive.\nAnswer: s**(194\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o + 68*o + 5*o to the form r + i*o and give i.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w*w\/(w\/w**(-5\/3)))**16 assuming w is positive.\nAnswer: w**(-464\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 = 2*f - 2*m, -2*f = -2*m - 2. Suppose 3*y - f - 7 = -5*o, 2*o = -2*y + 6. Solve -3*j - y = 3*z - 2*z, -4*j = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 - 1188*h + 13681. What is j(285)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4272*z + 4269*z - 4*c = -63, 2*z = -5*c + 77 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z - 13 = 66*z + 3*a, -14*z + 7*z + 2*a = 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*i - 5 = 0, -5 = -3*r + 5*i + 5. Let o be (3\/4)\/(r\/(-120)). What is the highest common divisor of 162 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 - n. Let x(l) = 4*l**3 - l**2 + 2*l. Calculate 3*o(s) + 2*x(s).\nAnswer: -4*s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 5, -3, 0, -10\/11251, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5852.11*0.489.\nAnswer: 2861.68179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d**2 + 2*d + (-4*d - d + 3*d)*(4*d - d - d) + (16 - 16 + d)*(-d + d + 4*d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -24565, 2\/33, -0.4, 2\/13 in descending order.\nAnswer: 2\/13, 2\/33, -0.4, -24565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o*o\/(o**10*o)))\/o*o**8*(o*o*((o\/(((o*o*o\/(o*(o**(-2)\/o)\/o))\/o)\/o))\/o)\/o)**(-1\/8) assuming o is positive.\nAnswer: o**(139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + 8. Suppose 0*q - m = -2*q. What is the greatest common factor of 21 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + f - 10. Let c be 4 + (36\/28 - 5). Factor 0 - c*k**5 + 0*k**3 - 4\/7*k**4 + 4\/7*k**f + 2\/7*k.\nAnswer: -2*k*(k - 1)*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from bbqbbbbbbbbbqbbbbb?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(640)*4)\/(sqrt(8)*1*3*-5).\nAnswer: -32*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -138, -131, -120, -105, -86, -63, -36?\n\"Answer: 2*m**2 + m - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/20)\/(13455\/1196)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94992381?\nAnswer: 3, 11, 19, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(84) - sqrt(84) - sqrt(84))\/sqrt(12) + (sqrt(175) + -1 + (sqrt(7) - (-1 + sqrt(7) + -2)))**2)*-5.\nAnswer: -900 - 95*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-3)\/((-9)\/6). Let y be (-15)\/4 - l\/(-4). Sort 1, y, 4 in increasing order.\nAnswer: y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/5)\/j)**8*(j\/(((j\/(j\/((j\/((j\/j**(-1\/8))\/j))\/j)*j))\/j)\/j))\/j*j**(-11))**1)**(-9\/13) assuming j is positive.\nAnswer: j**(7443\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/18 and -19\/10454076?\nAnswer: 10454076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*2\/4*-6. Let f be 2\/5 + c\/60. Suppose 4*s - 8*s + 92 = f. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-16)\/o**(2\/15))\/(o*o**(-8\/5)*o**(3\/2)\/o))**(-2\/39) assuming o is positive.\nAnswer: o**(37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 9. Suppose -h*k + l + 95 = 0, 143 - 378 = -5*k + 5*l. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 - ((72 - 230) + 96).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let z(i) be the first derivative of -43*i**4\/4 + 13*i**2 + 52. Let v(f) be the second derivative of z(f). Determine b(v(s)).\nAnswer: -258*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2092897443?\nAnswer: 3, 7, 13, 19, 23, 53, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1369 + 1369 + 32*c - 31*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/40 and -76\/20925.\nAnswer: 167400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 3. Let t be l(4). Let u(s) = -33*s**2 + 9*s + 11. Let w(f) = -14*f**2 + 5*f + 5. Let a(h) = 2*u(h) - 5*w(h). What is the tens digit of a(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, 0.1, -2, -9.07 in increasing order.\nAnswer: -9.07, -2, 0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 7049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 556495\/170*(-3*2)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 + 2*a**5 - 4*a**5 + 0*a**3 + 0*a**3 - 2*a**5 + (2*a**3 - a + a)*(0*a - a**2 + 0*a) + (2*a - 3 + 3)*(-1 - 7*a**4 + 1).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/9 + 254*d**2\/9 - 19778*d\/9 + 311170\/9 = 0.\nAnswer: -185, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17632176, -17632177, -17632178, -17632179, -17632180?\n\"Answer: -b - 17632175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5438\/17 - -322. Let x = h - 2. Suppose -2*v + 7 = -g, 3*v = -4*g + 2*g - 7. Is x >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 25*t**2 + 406*t + 10. Calculate the remainder when 502 is divided by x(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4504.4*-182\nAnswer: -819800.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/45*48)\/(3\/(-45)). What is the highest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtmajdca. What is prob of picking 1 j, 2 d, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 213, 586, 1289, 2430, 4117?\n\"Answer: 18*y**3 + 3*y**2 + 16*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/50*(-10)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23390 divided by 10\nAnswer: 2339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = 18*x. Factor -3\/4*d**4 + 0*d - 1\/2*d**3 + x*d**2 + 0 + 5\/4*d**5.\nAnswer: d**3*(d - 1)*(5*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = 4*z - 2*y, -4*y - 12 = 0. Let o = -465 - -465. What is the nearest to 0 in -5, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-149)\/(27118\/(-2576)) + 6\/(-39)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(u - u - u)*(49 + 154 + 93 + (4 - 1 - 4)*(-3 + 2 + 3) - 1 + 1 + 2) - u - 1 + 1.\nAnswer: -593*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 720658.8 millilitres in litres?\nAnswer: 720.6588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/3)\/2 - 9620\/(-156). Suppose -56*i - 3935000 = -d*i. Round i to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -176\/3. Let t be 1925\/(-2772) - 2\/(-8). What is the closest to 1 in t, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 39\/5, -0.1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -721, -734, -747?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -4*m**2 - 10\/3*m**3 + 19*m + 0. List the prime factors of q(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let k be ((-4)\/6)\/(2\/(-9)). Let h be (-22)\/(-8) + k\/(-4). Let q(g) = -3*g**h + g**2 - 3*g**2. Determine q(r(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16\/139 (b) -2\/7 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 6 - 3)*(-38104)\/(-22). Calculate the highest common divisor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - -31 - 10 - -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 42690378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449485 <= 1449442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 4*z - 3*z)*(1 - 4 + 5) + z - 3 + 3 + (2 - 4 + 0)*(2*z - 3*z + 2*z) + (2 - 1 + 1)*(0*z - z - z) + 0*z - z + 0*z - 4*z + z + 4*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 - 0.8. Let t = i - -0.9. Let v = 0.9 - t. What is the third smallest value in v, 4\/3, 1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**35*c)**(24\/11)\/((c\/c**(-32)*c)\/c**(4\/25)) assuming c is positive.\nAnswer: c**(12894\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - (-78 + 155) - -5) + (2 + -1 - 7)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/5*(1400\/(-42))\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2965\/42 - 500\/7. Sort -3, l, -79 in ascending order.\nAnswer: -79, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232797 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -4*g**3\/3 - 80*g**2 + 11*g - 64. Let m be r(-40). Solve -6*i = -m*i + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 + 1 + 25*g as o + q*g and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2. Give c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**9\/52920 - 11*k**8\/23520 + k**7\/252 - 5*k**6\/504 + k**4 + 19*k. Let n(i) be the third derivative of u(i). Factor n(c).\nAnswer: 2*c*(c - 5)**2*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 35 = -3*w, 13 = 5*t + 38. Let q = -0.25 + -0.05. What is the closest to 1\/3 in 0, w, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, q: 1, n: 11, d: 2, z: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 382, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b5 - -42449?\nAnswer: 42154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-140))\/((-6)\/150*5)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -39. Suppose -2*z + 4*q + 58 = 0, -i*z + 7*z - 2*q = 67. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m + 15 - 5*m + 19*m)*(-5*m**2 - 7*m + 7*m + (0*m - m - m)*(3*m + m - 3*m) - 1 - m**2 + 1 - 5 - m**2 + 5)*(3 - 5 + 3).\nAnswer: -18*m**3 - 135*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -23. What is the second biggest value in 2, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1741*d - 6964. Let o be m(4). Solve 8*k - 324 + 372 = o for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5, u + 0*z = -2*z + 507. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 598*t**2 - 14912*t - 950. Calculate h(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 610 = 6*z + 44*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1 (b) -3\/5 (c) 1\/2 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3054788929 from 0.5887.\nAnswer: -3054788928.4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 67?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 u when four letters picked without replacement from {w: 1, m: 4, s: 2, b: 2, u: 3}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100120000 (base 3) to base 9\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/14)\/((-1)\/83). Let j = t - 35\/2. Let u = -6.3 - -6. Which is the second smallest value? (a) u (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452017390 a multiple of 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 28*l - 12*l)*(0 - 1 + 0 + (-4 - 3 + 5)*(-12 + 5 - 5)).\nAnswer: 230*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 9. Let p be n(6). Suppose -c - 1 = -p. Let l be -20*3\/(-12)*2. Let i(g) = g**2 - g - 1. Let j(k) = -4*k**2 + 6*k + 6. What is c*j(r) + l*i(r)?\nAnswer: 2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.549 and 156.\nAnswer: -85.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 7*z + l - 11, 2*z + 2 = -2*l. Let q(w) = w**2 - 6*w + 5. Let g be q(4). What is the units digit of (-35 - z)\/g*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4*10\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 83. Suppose r + 9 = 3*k, -27 = -2*r - 4*k + k. Let x be 1\/(1\/(-1)) - -2. Solve b = -q + r - x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (122 + 0)*(-1)\/18 and -17\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 2*q**3\/3 - 5*q**2 + 121*q. Let i(o) = -o + 3. Let v(t) = 6*d(t) + 20*i(t). Let m(h) = -4*h**2. Calculate v(m(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 46*h. Let b(k) = 47*k + 5740. Give -b(p) + c(p).\nAnswer: -p - 5740","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*b + 6*b - 31*b - 15 - 11*b - 8*b.\nAnswer: b - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*5962.\nAnswer: 1192.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31221 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - (124\/(-4) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 4. Let h be (1 + -1)\/(-1) + -8. Let y(u) = -u**3 - 9*u**2 - 8*u - 3. Let m be y(h). What is d(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*p = -2*j - 3, 3*p = -3*j + 24. Let m = 0.35 - 0.35. Which is the nearest to -1\/4? (a) m (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1657, 1658, 1659, 1660?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, y: 1, m: 2, n: 2, l: 2, k: 1}. What is prob of sequence ymm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5\/7)*h*(h\/(h*h\/h**(-23\/5)))\/h*h assuming h is positive.\nAnswer: h**(-186\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154760\/7 - 22195. Let h = 177\/2 + o. Let n = 397597\/34 + -11697. What is the common denominator of h and n?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 12) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1077 - 0.1923. Which is the fourth smallest value? (a) 0 (b) j (c) -3 (d) -1.361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.11 - -20.85. Let d = y - 28. Which is greater: -0.06 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -182847 (b) 5 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 421952371 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613 + -2594 + (0 - 2 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 85*a + 56. Let t(g) = 42*g + 26. Determine 7*t(s) - 3*x(s).\nAnswer: 39*s + 14","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5761458 is divided by 640160.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4172.1 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1155 and -37\/1680.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -6*w + 0*w**2 - 5\/6*w**4 - 2\/3*w**3 + 0. Let x(u) = 0. Calculate u.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -185406*h + 95166?\nAnswer: -185406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - 3*(6 + 49\/(-7)). Suppose 0 = -4*o + 20 - 4, 0 = 5*r - 3*o - 3. Put g, r, -193 in increasing order.\nAnswer: -193, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -4*g + b - 3*b, -2*g + 3*b + 119 = 3*g for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -3. Let u(z) = 110*z**3 + 2*z + 3. Let x be u(-1). Let a = x - -111. Solve -d = 3, -a*d - s = -4*q + 2*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.4 (c) -0.72 (d) 2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 2}. Give prob of sequence zz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/223944 and -97\/8237940.\nAnswer: 115331160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791995384 to the power of 1\/2, to the nearest integer?\nAnswer: 42332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29225 - -96038. List the prime factors of n.\nAnswer: 3, 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, -71, -154, -237?\n\"Answer: -83*u + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80825774.\nAnswer: 2, 40412887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqdddqaqqvoqvqvndv. Give prob of picking 1 q and 1 v.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eer when three letters picked without replacement from rrereeyryre?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -2\/11, 30\/11, -1\/7 in descending order.\nAnswer: 9, 30\/11, -1\/7, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3 - 9591*g**2 + 0*g - 2*g + 7504*g**2 + 1487*g**6 + 2*g wrt g?\nAnswer: 178440*g**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(684)*3 + 4).\nAnswer: 4 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.517, 8, 2\/7?\nAnswer: -7.517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10. Let n(q) = -q + 17. Let i(z) = 5*g(z) - 4*n(z). What is i(-5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1171 + 2\/6*-3. Suppose 0*d + 223 = i - 3*d, -5*i + 4*d = -k. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14106 + 14434. Calculate the remainder when 502 is divided by u.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 + -171\/2. Let t = 2\/9 + -1\/18. Which is the biggest value? (a) 0 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 260?\nAnswer: -3\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 60384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6) + 330\/20. Suppose 4*i + 5 = h. Solve -i*a + 3*b = -6, -4*b + 13 = 5*a - 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhj when three letters picked without replacement from pjvpjpjppchh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/8 + 2*s**2 + 29*s\/8 - 51\/2 = 0.\nAnswer: -4, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 3 = -2*l - 4*g, 0 = 5*l - 2*g - 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 4*x, -6*x + 2*x + 6 = -2*v. Solve -3*w + 3*u - 3 = 0, 4*w - u + 4*u + 11 = x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*p + 21, -8 = -4*l - 5*p - 3. Solve 4*f + l = c - 14, 0 = 5*c - 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - -0.32. Let h = -0.8 - 0.2. Let i = 6.38 + -6.28. Which is the nearest to h? (a) r (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12263, -24682, -37091, -49484, -61855, -74198, -86507?\n\"Answer: h**3 - h**2 - 12423*h + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2557174 and 2074?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 9*i**2 - 6*i - 10. Let h be g(5). What is the greatest common factor of h and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -12) + (-7 - -2) - 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263 + 3613. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-27)\/(-6))*(-18)\/(-15). Let n(w) be the third derivative of -w**2 + 0 + 0*w + 1\/60*w**5 + 1\/6*w**p + 5\/24*w**4. Determine n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 9 = 91. Suppose 4*m + d - 79 = 0, 7*m = 3*m - 2*d + j. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - i - 1 - 15, -3*i + 32 = -5*x. Suppose -612*r + 605*r + 14 = 0. Is (x\/(-8))\/(r\/11516) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.69 + -1.69. Sort 1\/3, 0.02, c, 1 in descending order.\nAnswer: 1, 1\/3, 0.02, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (110\/3)\/(7\/42). Suppose p = 4*d - 0*d. Suppose 0*b - 66 = -3*b. Calculate the highest common factor of d and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90787501.\nAnswer: 7, 3533, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*(287\/(-82))\/((-231)\/60)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4184512 and 87\/5230640.\nAnswer: 20922560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 78285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by (-62)\/(14\/(-154) + 54\/(-132))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*r = 156, 138 - 45 = 3*k + 3*r. Which is smaller: k or 33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -98, 19, -1.36?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818.1604 milligrams to micrograms.\nAnswer: 818160.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 0 + (-1 + 16 - (103 + (105 - 182)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187ba6 (base 14) to base 7.\nAnswer: 10236466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + 5*q)*(2*q**2 - 3*q**2 - q**2) - 3*q**2 + 3*q**2 + q**3 + (-3 + 3 - 2)*(1 - 1 + 2*q**3) + 2 - 3*q**3 - 2.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**3 + 712230*u**2 + 712215*u - 1424450 = 0.\nAnswer: -142445, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - 5*h - 5. Let a(s) be the first derivative of -s**3 - 2*s**2 - 4*s - 9. Determine -6*a(d) + 5*y(d).\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:42 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6 = -3*n, 5*h = 4*n + 25 + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/12*(0 - 5214\/(-4)). Let r = z - -1795\/2. Which is greater: 28 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 10 + 5. Let p = -32 + 65. What is the greatest common divisor of x and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:05 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 39*n**2 - 41*n + 40. Let c be m(40). Solve c*t - t + 5*y + 16 = 0, 5*y = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8744 to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233282890 + -0.012?\nAnswer: 2233282889.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.1, 16\/7, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 5164*i**2 + 3333362*i.\nAnswer: 2*i*(i + 1291)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98, 107, 116, 125?\n\"Answer: 9*l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.6 + -11.587. Round j to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)*l)**(9\/2)\/(l**(-1\/8)\/(l**(2\/3)\/l)) assuming l is positive.\nAnswer: l**(299\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -21. Suppose 4*f - 28 = k. Suppose -5*d = -n - f, 0*d + 5*n = -2*d + 26. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -26. Let m be 15 + 5\/(d\/(-6)). What is the highest common divisor of 108 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 + 2*t**2 - 5*t + 10. Let r be q(-7). Let g = r + -1030. Suppose -4*x = x - g. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14366 is divided by 2773?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*v - 6 - 2025*v - 942*v - 1069*v + 88*v.\nAnswer: -3392*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 520 + -516. Solve -71*o = -70*o + d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -222599*c**2 - 416*c + 624. Let q(o) = -10600*o**2 - 20*o + 30. Give 5*n(s) - 104*q(s).\nAnswer: -10595*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436.0526 millimeters to micrometers.\nAnswer: 436052.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*2*sqrt(1539)*1 + 0 + (4*(sqrt(1539) + 3) - sqrt(1539)))*-5.\nAnswer: -315*sqrt(19) - 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1424 and 989680.\nAnswer: 989680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 = 5*r, 6*r + 4 = 11*r - b. Let u(m) = -m + 1. Let n(h) = -3*h. Let s(c) = -c**2 + 16*c + 35. Let a be s(18). Give a*n(k) + r*u(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:00 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557093701.\nAnswer: 79, 263, 26813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - u + 1. Suppose m = 56*m - 605. Let i(b) be the second derivative of -m*b + 3\/2*b**2 - 1\/2*b**3 + 0. Determine -3*f(x) + i(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 4*g - 16. Let h be 3 + (-1 + 5)\/g. Suppose 0 = h*j - 43 - 161. Does 30 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1171, 1182, 1205, 1246, 1311, 1406?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.98 - -6. Let n = 0.9 - -0.1. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtm when three letters picked without replacement from uctmdumtmdicdm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-6)*(-21)\/140*-2. Which is the closest to x? (a) 8 (b) -1\/3 (c) -3\/8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 - -292?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = 5*q - 50, -2*q + 5*y + 8 = 0. Find the third derivative of h**4 + 0*h**4 - q*h**4 + 11*h**2 wrt h.\nAnswer: -192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k + 5. Let p be b(-2). What are the prime factors of (p - -9) + (612 - 6)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/7 - ((-128)\/(-28))\/16. What is the nearest to 27 in -2\/11, -1.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v**3 + v**2 - 7*v + 6. Let u(j) = j**3 + j - 1. Suppose -2*g - s = 6, -9 = g + 2*s - 0*s. Calculate g*k(i) - 6*u(i).\nAnswer: 2*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vziivzzvzz. Give prob of picking 3 v.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 10*s - 11. Let k be w(8). Let g(z) = -2*z + 3. Let u be g(k). Let i = u + 44. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 1 f when three letters picked without replacement from sjjsssslslfllscccf?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5005 and 29480.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1100) + -2)**2 + sqrt(1100) + 3*(sqrt(1100) + 2) + 0.\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + 26. Suppose 4*i + 2*i = 66. Let u be c(i). Let d = u - -102. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032 - -12132011022?\nAnswer: 12132013120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 14, 2.\nAnswer: 0, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0757 or -279414?\nAnswer: -0.0757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31110131 + -1?\nAnswer: 31110130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 69 - 23 = -100*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k + 8. Determine l(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let p = 5 + g. Let q be (-2)\/(-3)*p*-1. Sort 4, 2, q in ascending order.\nAnswer: q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(-18*k**2 + 10*k**3 + 18*k**2) as s*k + a*k**2 + f*k**3 + w and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 9*f**2 + 6*f. Let s be x(-10). Suppose s = -5*a + 5*b, a + 17 = -4*b - 11. What is the remainder when 15 is divided by a*(-2)\/(-8)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 1:33 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -3*x**5\/5 + x**2. Let l(o) be the third derivative of -7*o**5\/60 + 185014*o**2. What is -4*c(u) + 21*l(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 290, 0, 52, 1 in descending order.\nAnswer: 290, 52, 1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 - 2*x**5 + 8*x**5 + (-4 + 4 - x)*(-2*x**4 + 2*x**4 + 2*x**4) - 8*x**5 - 8 + 8.\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 2. Let a(j) = -j**3 - j**2 - 1. Let t(q) = -6*q + 11. Let l(y) = y**2 - 11*y + 32. Let g be l(6). Let d be t(g). What is d*p(s) + 2*a(s)?\nAnswer: -s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(150\/(-27))*(-70)\/(-84)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/40)\/(2\/(-12)*-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (2222559\/(-702))\/(-69).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34143 and 2565.\nAnswer: 1536435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74627 and 120317?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.763324 millennia in centuries?\nAnswer: 7.63324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.84\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.78 - 17. Let t = g + 0.02. Let w = 1.98 + 0.02. Which is the third smallest value? (a) 0.1 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 15*l**2 - 3*l - 3. Let r(g) = g**3 + 16*g**2 + 2*g + 2. Let p(w) = -2*o(w) - 3*r(w). What is the third derivative of p(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5920 by -4.\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2 + -6270a?\nAnswer: -62628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y**2 - 3*y - 3. Let d be a(3). What is the derivative of 125 + d - 146*k - 12 wrt k?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.2 - -17. Round m to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from llmmmmlmlmm.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 17*y**2 - y - 21. Let z(u) = 26*u + 9. Let m be z(-1). Let x be o(m). Is (4\/x)\/((-3)\/9033) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12168*g**2 - 87*g + 14. Is p(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1140062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 66 = 4*f. Suppose h + 4*h - 21450 = 2*y, f*y = 5*h - 21450. What is h rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 4*g + 180. Suppose n + 207 = 4*q, 3*q - 649 = 10*n - 466. What is the least common multiple of q and g?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = r - 2*r. Suppose 0*v + 18 = -v. Is (-230)\/v - (-6)\/r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 3*o**3 + 580*o**2 - 580*o**2 + 2 to the form v*o**2 + i*o**3 + u + m*o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1235 + 2169 - 196 + (0 - 2 + 4)*(-6 + 3 + 1))*(3*o + 2*o**2 - 3*o).\nAnswer: 6408*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 5*a**2 + 1 - 2*a + (-4*a - 3*a + 6*a)*(4*a - a - a) as i + y*a + u*a**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + -1. Let j = -86799\/4 - -21700. Which is the fourth smallest value? (a) l (b) j (c) -5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -14*a**3 + 5*a**2 + 11*a - 3. Let u be f(-2). Suppose -4*x + 249 + u = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6569784.6 to the nearest 10000.\nAnswer: -6570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.4737 and 0.4.\nAnswer: -3.38948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82834151 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 9 = -2*p. Suppose -30 = p*s - 156. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + -1. Let b be z\/9*3\/(-2). Let i(w) = w - 2. Let r be i(7). Sort b, -2, r in decreasing order.\nAnswer: r, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 67 + 47. What is the biggest value in k, -1, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d - 251 = -18*d + 85 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12151.\nAnswer: 29, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 9 + 40*p - 4 + 7 - 2 + 24*p. Let r be t(-21). Let z(l) = 4*l + 13. Give z(r).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13957, 55594, 124913, 221914, 346597?\nAnswer: 498962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2289100 and 11\/12.\nAnswer: 6867300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9305 - -1.7305. Put 2, -1, 6, a, 2\/7 in descending order.\nAnswer: 6, 2, a, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -0.2. Let t be 0\/(2\/((-4)\/(-2))). Sort c, 1, t in descending order.\nAnswer: 1, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1548*f + 1815*f - 68894277 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 4:36 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 14*l + 20. Let f(c) = 0 - 5*c - 3 - 5 + 1. Let k(h) = -17*f(h) - 6*u(h). Give k(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2) + sqrt(17) + -2 + 1)**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 11152)*(4 + -7)\/9.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 81, 66, 25, -54, -183, -374, -639?\n\"Answer: -2*m**3 - m**2 + 2*m + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3757, -3774, -3791, -3808, -3825?\n\"Answer: -17*p - 3740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*b**2 - 43*b**2 + 7*b - 54*b**2 + 3*b + 66*b**2.\nAnswer: -5*b*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = -60*v + 299. Solve -v - 7 = 10*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153641342 + 3?\nAnswer: -153641336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5966343*h - 29831717. What is r(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20856 + 20856.5. Which is the third smallest value? (a) -8 (b) 10 (c) 2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/60 + 3*o**5\/20 - o**4\/12 - o**3\/6 + 49*o**2. Let b be f(4). Solve -11*h + b = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 12:08 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 7 = v, -4*v + 7*v + 15 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3950 - 168*m**2 - 3950.\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 15*j**2 + 738*j - 4320.\nAnswer: -3*(j - 15)*(j - 6)*(j + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from kkklkkkepkkelpppl.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804853 smaller than 1804852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + (-3 - -12)) - 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1010011101011100000001?\nAnswer: 1010011101011011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, h: 1, z: 1, x: 7, i: 3}. Give prob of sequence hi.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s**2 + 8377*s - 8376*s - 1237 + 21*s**2.\nAnswer: 35*s**2 + s - 1237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -21*a**2 - 47 + 37 - a + a. Let t(j) = 63*j**2 + 30. Let i(z) = -8*h(z) - 3*t(z). Differentiate i(w) with respect to w.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -9. Suppose 0 = -5*q + 4*o + 331, 2*o = -5*q - l + 315. Suppose -q = -j - 2*j - 4*u, 5*j + 2*u - 119 = 0. Solve 0 = -3*i + 8*i - j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1244*s**2 + 87*s + 75*s - 162*s)*(s**2 - s - 5*s**2 - s**2) as m*s**3 + u*s + t + j*s**2 + n*s**4 and give n.\nAnswer: 6220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/224, 2\/21, 2\/7, 3\/7.\nAnswer: -3, -1\/224, 2\/21, 2\/7, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 2e?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 16*c**2 + 123*c + 1329. What is j(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 - (-16)\/(-30). Let f = -74 + 73.42. Let p = 0.58 + f. Which is the closest to 2? (a) p (b) z (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305161 is divided by 695.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 9*y + 5. Let m be l(9). Suppose -4*i + c = -21, 6*i - 3*i + m*c + 13 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -1\/24*l**4 - 1\/10*l**5 - 1\/120*l**6 + 2*l**2 + 0*l + 0 - 4\/3*l**3. Let v be (9 + 11)\/(-5) + -2. What is d(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18801 - 18221. Which is bigger: y or 579?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.69 in -14\/13, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 l when four letters picked without replacement from llllwllwllllwwlwlw?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 8) + -313 + 316?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + -17d8d?\nAnswer: -17da0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5968 is divided by 12\/120*(-8 - -10) - 7449\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15\/34 + 1\/17. What is the third biggest value in -1, 0.1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = 4*h - 86. Let p be h\/(-12) - 4\/6. Suppose 5*x - 13 + 3 = p*z, -x - 1 = -2*z. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 2\/11, -13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*g - 31*g + 568 = 861 + 4951 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 20*c - 1617. Give s(44).\nAnswer: 1199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 18 = 7*n. Let s = n + 3. What is the remainder when 34 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66418 and 408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -930, -7497, -25324, -60039, -117270, -202645, -321792?\n\"Answer: -938*v**3 - 2*v**2 + 5*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Suppose -3*r + 253 = -4*y, -3*r + 257 = -5*y + 3*y. Let z = r + -84. What is the smallest common multiple of h and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 + -84)*2*(-4)\/16. Sort 5, -5, a in ascending order.\nAnswer: -5, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r*r**(-8\/3)*r*r))\/r*r*r)\/(r**29\/r*r*r*r))\/(r\/(r**(-3\/13)\/r)*(r*r*r**(2\/35)*r)\/r) assuming r is positive.\nAnswer: r**(-48623\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-126*n - 108*n - 982*n - 58*n).\nAnswer: -2548*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2306*d**3 - 34*d**2 - 16*d?\nAnswer: 13836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16367\/66 + 127\/(-762) + (-4)\/(-22). Calculate the greatest common factor of 6324 and c.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -2, -0.1, -111.7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/177)*((-1)\/21)\/((-89)\/1246)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*k - 4 = 221, v = 4*k + 60. What is the remainder when v is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 16. Let h(k) = -k**2 + 6*k - 6. Let t be h(z). Sort t, -2, -3 in decreasing order.\nAnswer: -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -7.397058.\nAnswer: 3.698529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1415 and -101\/5660?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 211*f*q**3*z - 18*f*q**3 - f*z**2 - 64*q**3 - 7917*q*z**2 wrt f?\nAnswer: 211*q**3*z - 18*q**3 - z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 8:22 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.61066 times 4\nAnswer: 14.44264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = -b, -3*b - 4*z + 90 = 2*b. What is the remainder when 142 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8146 divided by 21.\nAnswer: 8146\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249755*f**3 - 249061*f**3 + 485875*f**3.\nAnswer: -12941*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396658515.\nAnswer: 5, 7, 281, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-7\/5))\/x)**25*x**(-2\/15)*x**(-1)*x assuming x is positive.\nAnswer: x**(-527\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/35 - 3\/15. Suppose 7*f + 8 = 5*f, 5*v + f - 26 = x. Solve -7*o - 34 = -v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3044522, -3044521, -3044520, -3044519, -3044518, -3044517?\nAnswer: -3044516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -15, 87 = 5*b + 3*u + 3. Solve 0 = 6*l - 3 + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 58649434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 3 + 1 + 0 + 4. Let k be r(6). Let z(a) = 6 + k*a - 6. Let m(h) = h**2. What is m(z(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*g - 30 = -0*o, 10 = o + 2*g. What is the highest common divisor of 44 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74294972 rounded to the nearest one hundred thousand?\nAnswer: -74300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 + 13.\nAnswer: 13.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/((-3)\/28). Let o(f) = h*f + 2 + 7 - 7*f**3 + 12*f**2 + 6*f**3 + 0*f**2. Let a be o(13). Solve 4*z - 2*z - 5*j = -a, 8 = 2*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = -q + 32, -3*f = q - 32. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3030, 2999, 2970, 2943?\n\"Answer: u**2 - 34*u + 3063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 2*c + 95 = 0. Solve c*d + 3*f = 0, 6*f = 4*d + f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7939717 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27607 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13222 - -2202013?\nAnswer: 2221301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 462\/49*8*56\/96. Does q = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 2*l - 800. Round l to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515957 divided by -13?\nAnswer: -39689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 337294*p**2 + 12*p - 3. Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 7, 2, 374, -1 in descending order.\nAnswer: 374, 7, 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 12.9 (c) -0.2 (d) -1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 1026*q + 4. Let o be x(0). Suppose 0*m + 2\/5*m**o - 12*m**2 + 0 - 2\/5*m**3 = 0. What is m?\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/11 + -1*(-5)\/22*13416\/11180?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/45)\/((3212\/365)\/22)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-5*f - 9*f + 9*f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o**3 - 55*o**2 - 41*o + 24. Let f(y) = 10*y**3 - 55*y**2 - 40*y + 25. Let z(x) = 6*f(x) - 5*v(x). Factor z(i).\nAnswer: 5*(i - 6)*(i + 1)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71682 + 71647.949. Let v = -34 - f. Let q = 0.05131 - v. Round q to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129258290 a multiple of 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + sqrt(1872) + 1 + sqrt(1872) - sqrt(1872))*2)**2 - (5 + (1*sqrt(1872))**2).\nAnswer: 192*sqrt(13) + 28079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*c + 1 - 1.\nAnswer: 92*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6995687?\nAnswer: 17, 79, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 18*n + 12. Suppose 30 = 6*w - 18. Let i be y(w). Calculate the greatest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5) - (1 + -1 + sqrt(5) - sqrt(5)))*-6 + sqrt(55)\/((-1*sqrt(22))\/sqrt(2) - sqrt(11)))**2.\nAnswer: -52*sqrt(5) + 909\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70560 and 2940.\nAnswer: 70560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k - 8. Suppose -4*q - 2*s - 2*s - 48 = 0, 2*q - 5*s - 4 = 0. Let v = 8 + q. What is i(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + -0.03. Let w = o - -0.0213. Round w to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74.38*0.0815.\nAnswer: -6.06197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.5 - -11.5. Put -0.3, 23, 2, s in increasing order.\nAnswer: -0.3, 2, s, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-1)\/32)\/(6\/252*9).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/12 (b) -991 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011442 to 6 dps.\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43372, -90077, -136782, -183487, -230192?\nAnswer: -276897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 82 = -76. What is the nearest to -7 in -5, z, 2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171127969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b + 0*b + 4*b + 0 - 2*b + 0 + (-1 - 2*b + 1)*(2 - 5 + 1) - 19*b - 40 + 40)*(-b + 2*b + b) as h*b + k + v*b**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-53802)\/(-189) + 5\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*o - 2*t + 40, 5*o = 5*t. Let j(v) = -v**2 + 13*v - 4. Let w be j(o). Calculate the greatest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -1\/60*f**5 - 41*f**2 - 2 + 0*f + 5\/6*f**3 + 5\/24*f**6 - 1\/12*f**4. Find the second derivative of s(b) wrt b.\nAnswer: 150*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 16104 - 32193 + 16164. What is u(32)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -0.1. Let h be 2\/(-9) + 114\/270. Which is the third smallest value? (a) w (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6628 - -3346. Let d = -52563\/16 - i. Let n = -16113\/10 - -1610. What is the common denominator of n and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 9 - 2 - 8 - 119*t + 7*t.\nAnswer: -105*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, -2\/7, -20.4, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*a**2 + 7*a**3 + 374*a**2 + 59*a**3.\nAnswer: 66*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b**3 - 15*b**3 - 58*b + 75*b + 55*b.\nAnswer: b**3 + 72*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10016682420 less than 0.154?\nAnswer: -10016682419.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*o + 11*o + 5*o**4 - 6*o**2 + 3*o**3 - 6*o to k*o**3 + v + b*o**2 + a*o**4 + l*o and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -v + 120, 2*v + 5*g = v + 80. What are the prime factors of v?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/(-12))\/(8\/276). Let a = y - 3. Suppose 14 = -3*q + a. Solve -5*i = -0*i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspss. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)\/(v\/v**(-4\/7)))\/(v*v**(-1\/2))**(2\/35) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 243790.6596 to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659315?\nAnswer: 5, 29, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5)*q)**(-5)*((q**(1\/5)\/q*q)\/q*q)\/q**(-1\/8))\/((q*q\/(q**(-4)*q)*q*(q**6*q)\/q)\/((q\/(q**(-3)\/q))\/(q**(-3)*q))) assuming q is positive.\nAnswer: q**(-307\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*c + 80. What is the remainder when 28 is divided by 40\/c*-3*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 50 = 10. Suppose -19*x + p = -15*x. Solve -12 = -f - x*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3 + 5. Let p = -93 - -99. Suppose -s + 210 = 5*b, -g*b + s - 169 = -p*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 10589.\nAnswer: 14\/10589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1)*1.\nAnswer: 1 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 329 - 6*p**3 - 329 + (p**2 + p - p)*(-5*p + 2*p + 0*p) as h*p**3 + w*p + j + t*p**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1967*u**4 - 3*u**2 + 44*u + 27 wrt u?\nAnswer: -23604*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 11*x**2 + 12*x - 10. Let d be g(10). Solve -4*q + 4*v - d - 2 = 0, -4*q - v = 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -2*g**7\/63 + 2*g**6\/45 + 59*g**5\/60 + 47*g**4\/18 + 53*g**3\/18 + 5*g**2\/3 - 216*g - 2. Find l, given that a(l) = 0.\nAnswer: -2, -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 4:55 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10906541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 22*z**2 - 7*z + 4. Suppose 5*b - 3*j + 0 = -90, -3*j - 15 = 0. Let h be (-3 - 51\/b)\/((-10)\/35). What is the tens digit of v(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-126)\/4 - 4)\/(-2)*12.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 0 - 1)*1\/(-2). Let v be 100*b*(1 + (-28)\/48). Suppose -g + p = -64, -g + 3*g - 5*p = v. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0 (b) -0.1 (c) -6\/9637 (d) -1\/3 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 52015 = -2*w, -3*c - w - 63921 = -219966. Suppose -a + 4*h - 25990 = 2*h, -2*a - c = 3*h. Round a to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28128, 56227, 84326, 112425, 140524, 168623?\n\"Answer: 28099*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4531083 - -8?\nAnswer: 4531091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 20 = i, -2*i + i = -v. Let c(k) = 7*k + 5. Let z(j) = -6*j - 7 + 2 + 1. Let w be (-48)\/10 - 1\/5. Calculate v*c(r) + w*z(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 3*y + 2 - 19, 5*j - 3*y - 13 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/118 and 61\/236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 26. Calculate the common denominator of -1\/46 and (-49)\/l - -2 - 3.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(0 + -4 + 3). Let v be ((0\/2)\/5)\/q. Let i be v + 3\/((-9)\/4740000). What is i rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - 2*f)*(-14 + 3 + 5) + (3*f + 0*f - 5*f + (-f + 2*f + 0*f)*(-2 + 5 - 4))*(35 - 48 + 78).\nAnswer: -201*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.294351ng?\nAnswer: 0.000000001294351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -0.7058494?\nAnswer: -6.3526446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.37? (a) -2 (b) 90 (c) 1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 18*h + 15 + 18*h**3 + 6 - 29 + 52*h**2 - 4*h**4 - 4*h**4 = 0.\nAnswer: -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/((-3)\/(-9)). Let u be 12\/(-9)*3\/h. Suppose 3*v + 5*i - i = -8, 0 = -3*v - 2*i + u. Solve -15 = b + v*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 395220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 18*n**4 + 22*n**2 + 138*n - 1412. Let k(s) = s**4 + s**2 + 2*s + 1. Let y(a) = 22*k(a) - o(a). What is the derivative of y(x) wrt x?\nAnswer: 16*x**3 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110097 or -110098?\nAnswer: -110097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from eeccccceelc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - 4*w + 2*w)*(0*w**3 + 3*w**3 - w**3) + 5*w**4 - 3*w**4 - 7*w**4)*(6 + 1 - 4)*(-1 + 4 - 2).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**5 - 2523*k**4 + 4005*k**3 + 9551*k**2 + 3018*k = 0. Calculate k.\nAnswer: -1, -2\/5, 0, 3, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t, -4*t - 94 = -4*q - 3*t. Let o = q - 21. Find the second derivative of -3*k + 3*k**3 + k - 3*k - 10*k**o wrt k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18376567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.5. Let o = -1.5 - p. Which is the third smallest value? (a) 3\/5 (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*r - g - 0, -g - 1 = 2*r. Let s be (r\/(-3))\/(-2*1). Let y = -0.3 - -0.5. Which is the nearest to s? (a) -5 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4539633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 54953.\nAnswer: -29\/54953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2113*m - 82013 = -984*m + 4703 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2251 is divided by 81?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 752\/1703359?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 62*g**2 + 58*g - 52. Let r be h(-30). Calculate the greatest common factor of 84 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26145)\/2700 + 10 + 4\/(-10).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132236340 (base 7) in base 16?\nAnswer: -81e8f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 499\/306 - -5\/34. Let t = -2\/6237 - 24938\/31185. Which is the second smallest value? (a) t (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -12 (b) 0.4 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 10*s + 13. Let l be u(-11). Suppose -p - 3*k - 1 = l, 4 = -4*k. Solve p*z - 2*o + 14 = -4*z, 5*z = -o - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18015*n**3 + 24*n - 268 wrt n.\nAnswer: 108090*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + (sqrt(4032) - 3*sqrt(4032)) + -5 + 3 + 0)**2.\nAnswer: 96*sqrt(7) + 16127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/7 + (-2)\/14. Suppose 1 = u*o - o. Is -13*2*-2 + o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8775 + 2061*w + 668*w + 1955*w - 1082 wrt w?\nAnswer: 4684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 156*m**2 - 44*m - 44. Calculate z(-1).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(1152) + ((sqrt(1152) + 2 + sqrt(1152) + sqrt(1152))**2 - sqrt(1152)) + 2)*5*-1*3.\nAnswer: -155640 - 2520*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**4\/3 + 13*l**2 - 16. Let v(x) be the second derivative of j(x). Let d(z) = z. What is v(d(a))?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.2 * 0.3.\nAnswer: 7.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**3 + 2*z**2 - 2*z + 3. Calculate o(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 13*f + 1195. What is s(45)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Suppose 2*o - 76 = -h*n, 0 = n + 2*o - 0*o - 28. Let m be ((-10)\/8)\/((-2)\/n). What is the highest common divisor of m and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**5\/q)*q)\/q**(6\/5))\/(q**(-5)\/(q*q**4)) assuming q is positive.\nAnswer: q**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.45496 and -7.\nAnswer: -3.18472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 7}. Give prob of picking 2 h.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 410 = -135. Suppose 33 = -5*x - 12. Let l be (x\/(-2) + -2)*2. Calculate the highest common divisor of b and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**3\/6 + 3*k**2 - 15*k - 2. What is r(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26370986, 52741977, 79112968?\n\"Answer: 26370991*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 0.2, 29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:44 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -3*j**5\/20 + 19*j**4\/4 - 37*j**3 + 84*j**2 + 670*j. Factor m(g).\nAnswer: -3*(g - 14)*(g - 4)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6737589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1348*x**5 + 74*x**4 + 67*x**3 + 151675151*x**2?\nAnswer: 80880*x**2 + 1776*x + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 3*p**2 + 2*p - 2. What is the remainder when 14 is divided by w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -897 + 1326. Let w = a - 284. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a0 + -2?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 147, 217, 285, 351?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 11 - -3 - -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -995 - -997. Let x = 0.2 + -2.2. Which is the nearest to -2\/5? (a) x (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1756.789 nanoseconds to microseconds.\nAnswer: 1.756789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 659624 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 7:06 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-51812)\/(-30))\/(20\/(-25)). Let u = -2148 - y. What is the common denominator of -53\/2 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324\/3620257 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 - -284. Solve -r*m = 9*m + 144 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 31\/74 (b) 1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 20*h + h**2 - 21*h + 10)*(-47*h + 226*h + 125*h) as d*h**2 + b*h**3 + s + v*h and give d.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n**2 + 5*n + 11. Let w(c) = -19*c**2 - 10*c - 21. Let t(v) = -11*q(v) - 6*w(v). Let r(k) = k**2 + k + 1. Calculate -15*r(y) + 3*t(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 132 - ((-38)\/12 + (-14)\/(-84)). What is the highest common divisor of n and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n + 6. Suppose 2*r + 4*k - 29 = 3*r, -3*r + k = 131. Let y = r + 49. Determine t(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 652\/9, 41, -15\/94 in decreasing order.\nAnswer: 652\/9, 41, -15\/94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*(31 + -30)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 1, -3, -5 in ascending order.\nAnswer: -23, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -632820, -2531271, -5695358, -10125081, -15820440?\n\"Answer: -632818*n**2 + 3*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 + 50*y - 82 + (y - y - 4*y)*(2 + 0 - 1) + 2 - y - 2 + (0*y + 2*y + 0*y)*(2 - 1 - 2) - 5*y + 3*y - 3*y to the form n + a*y and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/68 and -67\/30.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, -1.507, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3609 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4384*b*i*t**2 - b*i*t - 2*b*i - 23*i*t**2 - t + 309 wrt t.\nAnswer: 8768*b*i - 46*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -341, 4, 55 in increasing order.\nAnswer: -341, -1, 3, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 101691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-21)\/18*(-5445)\/30492?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.367 - 0.467. Which is the nearest to 2\/9? (a) -3\/7 (b) -3 (c) -1\/3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6224 - -8664. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x - 55*x = 62*x. Solve -2*d - 12 = -2*y + y, 2*y + 4*d + 8 = x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121000 + -11?\nAnswer: -1121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2592219068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 53823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*x - 33*x + 35*x**2.\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 343737265*t + 683574844 wrt t.\nAnswer: 343737265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3 - -4))\/((-4)\/6). Suppose 5*i + 35 = -2*c - y*c, -23 = 3*i + 4*c. Let h be 18\/56 - 2\/8. What is the second biggest value in h, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 7*h - 7. Let z be c(-7). Let u = z - 31. What is the common denominator of -4\/3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.95 + -5.95. Let v(b) = -b**2 - 8*b - 12. Let u be v(-5). Let t be -3 - -3*u\/3. What is the closest to y in t, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, 2, 0.2, -2.1, 3 in ascending order.\nAnswer: -140, -2.1, 0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3575*a + 4238*a + 6641*a.\nAnswer: 14454*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/47 + 292\/235. Let g = -13 + 14. Suppose -3 = -2*f + g. Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5\/3 + 10*s**4\/3 + 10*s**3\/3 - 10*s**2\/3 - 4*s = 0?\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utkhktttkkktkqhfh. What is prob of picking 1 q and 2 h?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*c - 8 = 171*c. Suppose -c*q - 20 = 0, 5*w - 16*q = -19*q + 510. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -177266172 < -177266173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**3 - 5*b**2 + b - 2. Let u(f) = 5*f**3 + 6*f**2 - f + 3. Suppose 23 = 7*r - 698. Suppose -r = 44*q - 367. Determine q*m(k) + 5*u(k).\nAnswer: k**3 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 398 or 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*m - 53*m + 106*m in the form y + p*m and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30313589281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1906 greater than -1847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 137375 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17087?\nAnswer: 7, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z = -19*z + 209. Let i be (0 - 400) + (-95)\/z. What is i rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*q - 30, -2*y - 22 = -3*q + 6*q. Let t be y + 3 - (1 - 6). Suppose z = t*z - 8*z. Solve 4*h + g = -0*h + 15, h + 5*g - 18 = z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 7*x**2 + 7*x. Let j be n(-8). Suppose 2*s - j = 2. What is the second derivative of 0*p**s - p**5 + p - 3*p wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + r - 155 + 157 + (-1 + 3 + 0)*(-4*r + 5*r + 0*r) - 3 + 3 - r + 8*r + 0*r - r + r + 1 - 1 + 2*r + 1 - 1.\nAnswer: 12*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.198191*-0.3\nAnswer: 1.2594573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4555392491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 9:52 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1) + (-8)\/(-18). Let u = -37 - -37.6. Let k = 0.1 - u. Sort k, v, 1\/5 in ascending order.\nAnswer: k, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24760481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:44 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33046 + -33049.1887. Let k = 1.787 + -1.7057. Let j = u - k. What is j rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5419507 millilitres?\nAnswer: 0.0005419507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q**5 + 1\/3*q**6 - 1\/2*q**2 + 0*q**4 + 0*q**3 + 0*q + 1. What is the second derivative of g(c) wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 115, -0.2, 21\/8?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, f: 2}. Give prob of picking 2 x and 1 f.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/280 and -113\/14980.\nAnswer: 29960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341400 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 + 0*j + 0 + 0*j**3 - 1\/7*j**4.\nAnswer: -j**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*8\/12 - -9. Let k be (3 - q) + (68 - -2). Let j = k - 23. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3.99. Which is the smallest value? (a) d (b) 2\/17 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 4*j + 11, 81 - 35 = -2*f + 11*j + 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 32\/(-6)) + 17\/(-6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = 3*w, -5*t + t = -5*w + 16. Let q(s) = -5*s + 2. Let b be (-12)\/30 + (-12)\/(-5). Let c(y) = -4*y - b + 10*y + 0. What is t*q(p) - 3*c(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + q, -3 = -2*m + q - 0. Let a(b) be the first derivative of b**3\/3 - 2*b - 1. What is the lowest common multiple of a(m) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110371*-24.\nAnswer: -2648904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b690 (base 14) to base 12.\nAnswer: -70aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11023608831 and 24.1?\nAnswer: 11023608855.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(9 - 7) + -8. Suppose 2*g = 2*a - 2, a - 4*g - 7 = -0*a. Put u, 0, a, -2 in descending order.\nAnswer: 0, a, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -46, -107, -202, -337, -518, -751, -1042?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 527.\nAnswer: 5\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2. Let z(b) = 106234528*b**2. What is z(x(u))?\nAnswer: 424938112*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148502?\nAnswer: 2, 41, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 14 - (-8 + 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1259, 2365, 3471, 4577, 5683?\nAnswer: 6789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70482 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500092 is divided by 163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 12. Let c be l(16). Find the second derivative of -10*q + q + 5*q**4 + 4*q**c wrt q.\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 323\/(-38)*2 - -19. Let l(f) = -f**3 + 6*f**2 - 2*f - 12. Let r be l(5). Solve -2*j + 4 = u*j, r = 2*m + j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*z + 7, -2*z = 124*w - 121*w - 64. Let f(m) = -m**2 + 20*m - 42. Determine f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89767 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**5\/9 + 730*k**4\/3 - 252508*k**3\/9 - 683758*k**2\/3 + 3883652*k\/9 + 269216 = 0.\nAnswer: -9, -1\/2, 2, 179, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 17*u + 220. Determine t(-18).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4\/15))\/l**(-6\/23) assuming l is positive.\nAnswer: l**(527\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.12 (b) -0.3 (c) 26 (d) 18 (e) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 9. Give n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 475 + -471. Let i(g) be the third derivative of 5\/24*g**c - 10*g**2 + 0 + 3\/2*g**3 + 0*g. What is the first derivative of i(o) wrt o?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/p**(3\/2))\/p)))\/p**6*(p\/(p**3\/p))\/(p**(-2)*p*p) assuming p is positive.\nAnswer: p**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osfs when four letters picked without replacement from olsollostttsssssfft?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 + 526 = v + w, -3*w = -2*v + 1366. Let s(m) = 680 - 3*m - v. Let p(x) = x**2. Determine p(s(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 176\/6*(190\/20 - 8). Suppose k + j = 75, 4*k - 229 - d = 5*j. Is 43 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 6 = 3*j + 5*b, -b = -2*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8104574123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/7))**(-15)\/(r**(2\/31)*r)**(-12) assuming r is positive.\nAnswer: r**(447\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12277235, -12277254, -12277287, -12277340, -12277419, -12277530, -12277679?\nAnswer: -12277872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + 2*(sqrt(75) - 4*sqrt(75)) + sqrt(75) + sqrt(75))*2 + 3 + -2)**2*1.\nAnswer: -12000*sqrt(3) + 173425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o**3 - 294*o**2 - 106*o - 799628 wrt o.\nAnswer: 12*o**2 - 588*o - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1363 + -1338. What is the remainder when 339 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -452446?\nAnswer: -452450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077676 is divided by 4748.\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 378 + 2214 = 0. Let j = -543\/5 - g. Which is the closest to -3\/4? (a) 4 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 122527592?\nAnswer: 24505518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -359, -339, -305, -251, -171, -59, 91?\n\"Answer: n**3 + n**2 + 10*n - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11809 is divided by 5902.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -0.27395?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f*q**3 - 642*f*q**2 + 215*f*q + 30*f - q**3 + 10*q**2 - 4*q - 21 wrt q.\nAnswer: 90*f*q - 1284*f - 6*q + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72124 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: Let y(k) = k - 8. Let l(r) = -r + 8. Let t(o) = -o**3 - 4*o**2 - 51*o + 210. Let m be t(3). Determine m*y(c) - 5*l(c).\nAnswer: -c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-14 - (9 - 13)) - (0 - 25)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4318880177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c**4 + 94*c**2 + c + 8 - 534*c**4 + 517*c**4 in the form h*c**3 + f + b*c**2 + g*c + z*c**4 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368 - -127. Let l = v - 491. Let g = 1.99 - -0.01. Which is the third smallest value? (a) -2\/15 (b) -0.06 (c) g (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3098.\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71222 is divided by 193.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -493, -1930, -4315, -7648, -11929, -17158?\n\"Answer: -474*a**2 - 15*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (-21416)\/14016*-2 + (-245)\/2940?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 621.\nAnswer: -1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 2, f: 1}. What is prob of sequence df?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let t(x) = x**2 + 2*x - 2. Let h(d) = d - 2. Let f(p) = -1. Let u(i) = f(i) - h(i). Let w(o) = t(o) + 2*u(o). Give m(w(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = -17. Suppose -8*x - r = -9*x. Solve 0 = j - 4, -3*k + 5*j = x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 12. Let r(d) = d**2 + d - 2. Let g(t) = 4*t**2 + 2*t - 4. Let k(u) = -g(u) + 2*r(u). Give k(q(n)).\nAnswer: -2*n**4 + 48*n**2 - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 12*b**2 + 802*b**3 + 41*b**2.\nAnswer: 802*b**3 + 34*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.077082 weeks?\nAnswer: 3070619193.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 41. What is c(10)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 e when four letters picked without replacement from {a: 3, r: 2, e: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y = -64 - 44 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 11291022*o + 10623931483707.\nAnswer: 3*(o - 1881837)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*g**3 + 8876*b**3*g**2 - b**3*g + 2*b**3 - 732*b*g - 5*b wrt g?\nAnswer: -12*b**3*g + 17752*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w*w**2*w*w)*w*w**(4\/5))**(-9\/2) assuming w is positive.\nAnswer: w**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (27 - 11)) + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, c: 3}. Give prob of picking 3 x and 1 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 2*r**4\/3 - 3133*r**3\/2 - 23*r**2. Let h(j) = -11*j + 6266. Let n(k) = -7*h(k) - 5*i(k). Is n(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1239, 2474, 3711, 4950?\n\"Answer: o**2 + 1232*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 384765 and 33.\nAnswer: 12697245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4714812 by 5.\nAnswer: 4714812\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1 - (8 + -3)) + -10 + -12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 + 2*u**2 - 1. Let y be n(-2). Let i = y - -133. Suppose -i = 4*f - 312. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(((-20)\/24)\/5). Suppose -i*m = -2*y + 2*m + 20, y - 2*m = 9. Find the third derivative of -40*z + 40*z - 19*z**y + 19*z**2 wrt z.\nAnswer: -1140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*n - 2*n. Suppose 0 = n*y - 18*y + 6. Factor -9 + 5 + 4*m**4 - 52*m**3 + 60*m**y - 8*m.\nAnswer: 4*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzrozzf. Give prob of picking 1 z and 2 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3593 - -3606. Solve -4*a + 5*h = -18, -2 = -9*a + w*a + 5*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 1\/4, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + t**2 - 1. Let i be f(1). Suppose 17 + 16 = 3*z - 3*l, 68 = 4*z + i*l. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2208261, -2208251, -2208229, -2208189, -2208125?\nAnswer: -2208031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -1\/5 (c) 865 (d) 5 (e) 2\/7 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33642*r**6 + 390172*r**2?\nAnswer: -4037040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -59. Suppose -j + s = -2. Suppose -5*c + 17 = -a, 5*a - j = -4*c - 1. Put a, 0, -4 in ascending order.\nAnswer: -4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6, 2*i = -i + 2*d - 31. Let t(j) = -2*j - 8. What are the prime factors of t(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 24)\/((-1)\/(-98)). Let l = 18 + -15. Let d = q + l. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27447, 27440, 27437, 27444, 27467, 27512, 27585?\nAnswer: 27692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:57 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, v: 4, i: 5, u: 4, n: 1}. What is prob of picking 1 v, 1 u, and 2 i?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 54*m**2 - 288*m + 665. Is f(61) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 4. Let g be (-4)\/(-10) + (-4)\/5 - (51 + -52). Sort -4\/5, r, 0.3, g.\nAnswer: -4\/5, 0.3, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 1059*v\/2.\nAnswer: v*(v + 1059)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**(-9)*w\/w**(3\/17)*w*w assuming w is positive.\nAnswer: w**(235\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/((-20)\/(-15)) + (-62)\/(-22). Let r = 3 + -5. Which is bigger: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2095*s + 2 - 1 - 27 - 1054*s - 1045*s as y*s + i and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -29*y**3 + 7*y**2 - 12*y + 52. Let b be z(3). What is the third smallest value in b, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 4*b - 506, -254 = -2*b + c. Is 38 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 10*h + 3. Suppose -f + 4 = -w - 9, -5*w = -2*f + 56. Let c be k(w). Let y = 5 - c. Put 4, -5, y in ascending order.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 92*j**2 + 95*j - 156. Determine i(93).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339731.\nAnswer: 7, 48533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220488928 to the nearest integer?\nAnswer: 14849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/4 (b) -4 (c) -0.03 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.83 and 7.\nAnswer: 5.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 1\/4, 2.215, 1\/6 in ascending order.\nAnswer: -0.9, 1\/6, 1\/4, 2.215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 2*h + 5. Does 4 divide x(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.39613 grams to kilograms.\nAnswer: 0.03739613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*m - 5*i, -5*m + 5 = 3*i - 8. Solve 4 + 6 = 5*x + m*r, 2*x - 5*r = -10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 258.28 - 258.78. What is the nearest to -1 in -0.3, m, 137, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghhh when four letters picked without replacement from hiihiihgiissggi?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 539773813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2491 + 57.6309. Let y = u - -1.12. Let p = y - 58.9943. What is p rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 23. Let i be d(11). Let c be (-7)\/28 - i\/20. Let -c*k**3 + 2\/5*k**4 + 0*k**2 - 2\/5 + 4\/5*k = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 + 19*p**2 - 47*p + 25. Let r(u) = 14*u**3 + 77*u**2 - 190*u + 103. Let w(q) = -2*r(q) + 9*z(q). Give w(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, -0.04, 1\/93, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 316*f**3 - 241853 - 50*f**3 + 241858 + (3*f + f**2 - 3*f)*(f + 2*f - 2*f).\nAnswer: 267*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*m**3 - 321*m**3 - 145*m**3 + 773*m**3 - 147*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3503, 3563, 3623, 3683, 3743, 3803?\n\"Answer: 60*r + 3443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.2331 to one decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 + 3*c**2 - 2*c - 1. Let l be y(-3). Let h = -15 - l. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278629?\nAnswer: 13, 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-4)\/(-11 - -3). Suppose 0*s + 1 = s. Put -5, n, s in decreasing order.\nAnswer: s, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 1, -82, 7, -4 in descending order.\nAnswer: 7, 4, 1, -4, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 5 + 7)*(625*t + 802*t - 403*t) in the form w*t + x and give w.\nAnswer: 8192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 619, 1385, 2455?\nAnswer: 3829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 117112, 232731, 348350?\n\"Answer: 115619*d + 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 172 and 430.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 - 6*l**2 - 13*l + 5. Let o be j(-11). Let w(v) = -5*v + 1. Let a(d) = 21*d - 4. What is o*a(k) - 9*w(k)?\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*72\/(-16). Put -12, a, 5 in decreasing order.\nAnswer: 5, a, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11)**(-3\/7) assuming z is positive.\nAnswer: z**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 585621.1 hours in seconds?\nAnswer: 2108235960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 + 141. Suppose 3*h - 4*u = v, -2*h = 3*h - 5*u - 40. Suppose h*m + 9*m = 4185. What are the prime factors of m?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tytwwxwywccc. Give prob of sequence yxt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 42288\nAnswer: 29\/42288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 3922*h + 45501300.\nAnswer: -2*(h - 3889)*(h + 5850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54.62 + -54. Let n = f - -1.38. What is the second smallest value in 4, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Let b = o - -4. Suppose -2*p - b*p + 48 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*o + 2882 - 971 = 0. Let y(s) = 9*s - 15. Let x(k) = 5*k - 8. What is o*x(f) - 4*y(f)?\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**3 + 40236*y**2 - y - 250887 wrt y.\nAnswer: -6*y**2 + 80472*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(20\/480*9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1372869*f**4 - 1443*f + 332*f**3 - 105*f**3 - 2738*f - 1372872*f**4 wrt f.\nAnswer: -36*f**2 + 1362*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0*(-1)\/(-2))\/(-1). Suppose 6*k - 36 - 108 = g. Solve 5*n - 4*w + k = 3*n, -4*n = -4*w + 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*s)*(s + s - s + (-1 + 3 + 0)*(-2*s + 4*s - 4*s))*(113 + 4*s**3 - 113).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/3*3\/54. Let f = -145\/351 - m. Do f and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7859006 by 58.\nAnswer: -3929503\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u = 0. Suppose u = -2*s + 27 + 65. Let b = s + -39. What is the greatest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.09, 2\/9, -5, 0, -2\/17?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 4*w - 1920. Calculate the greatest common divisor of w and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -36. Let o be (0\/1)\/2*i\/18. Solve 3*q + 2*b = -q - 20, -b = o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182913*m**6 + 6*m**4 - 2247776*m**2.\nAnswer: 21949560*m**3 + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + -146?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + 2*b**4)*(3*b - 203 + 203).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 + 1.3. Suppose 2*b + 19 - 21 = 0. What is the second smallest value in b, q, -4\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (316*h**2 + 2*h - 5*h - 315*h**2)*((-3 + 0 + 4)*(-6*h + 3*h + 4*h) - 3 + 2*h + 3) in the form z*h + s + w*h**2 + n*h**3 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b + 13*u - 12*u + 11 = 22*b, 26 = -2*b + 5*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42913805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g + 2. Let h = -14 - -17. Suppose 9 = l - 5*x - h, -2*x + 26 = 4*l. Is p(l) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2)*(2 + 3 - 3) + 2 - 1 - 3 - 2 + 7 - 3)*(-8*k**2 + 12*k**4 + 8*k**2).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -336*g + 4943. Does 11 divide c(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 80?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 843447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:49 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1833*s + 5512. Calculate j(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8947515553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/6752 and -3\/176.\nAnswer: 74272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 8:00 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u = 4*u - 97233 - 3504. What is the highest common divisor of 663 and u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, q: 1}. Give prob of sequence ee.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -499 - -4?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/10 and -97\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o*(o\/((o*o*o**(-1\/8))\/o*o))\/o*o*o*o)\/o)\/o*o))**(-3\/28)*((o**45*o*o)\/o*o)**(-20))**(-35) assuming o is positive.\nAnswer: o**(1052785\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*q + 1065 + 807 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340271 divided by 17909.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1193 - -1944. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 1681, -2849.\nAnswer: -2849, 1, 2, 1681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1275506 + 390306779\/306. Let q = d - 39\/17. Calculate the common denominator of -95\/24 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + -0.1. Let z(n) = -n**3 - n**2 + n + 5. Let j be z(0). Which is the second biggest value? (a) -1\/3 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -1768 - 553. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 3*f + 1130. Find the second derivative of f*y + 5*y**2 - 15*y**3 + 7*y**3 - 4*y**2 - 4*y**3 wrt y.\nAnswer: -72*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 5, -87, -269, -571?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2783685389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 77 = 11*l. Suppose -f - 164 = -0*c - 3*c, 36 = c - 5*f. Suppose -15*o + c = -l*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3194733692 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289450 divided by -3485?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 748 + 64?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 7:40 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91 + -447950?\nAnswer: -447859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 - 2.25. Which is the nearest to 0? (a) -4 (b) -5 (c) -1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -60*v**3 - 35*v - 35. Let n(b) = -5*b**3 - 3*b - 3. Suppose -19 = -32*o + 77. Give o*q(i) - 35*n(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -412, -3258, -10966, -25966, -50688, -87562?\nAnswer: -139018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -48*p**2 - 1\/180*p**6 - 2*p - 2\/3*p**3 + 0 + 1\/60*p**5 + 23\/72*p**4. Suppose w(m) = 0. What is m?\nAnswer: -3, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**4 - 6*m**3 - 29. Let k(s) = -58 + 16*s**4 + 38*s**3 - 51*s**3 - 2*s**4. Let b(l) = 6*k(l) - 13*z(l). What is the first derivative of b(f) wrt f?\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20355 - -22820. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/11)*j*j*j**(1\/11)\/j)\/(j**(-1\/43)*(j*j\/(j\/(j*j**(2\/3))))\/j) assuming j is positive.\nAnswer: j**(-268\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 3)*((-1 + 1 - 5*j**3)*(20 - 28*j - 25*j + 56*j) + j**4 - 3 + 3) in the form a*j + p*j**2 + k*j**3 + w + g*j**4 and give k.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5392.000009081 - 5392. Round k to 7 dps.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 20 = 5*b. Suppose 18 + b = 2*i. What is the lowest common multiple of 12 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 45*q - 42*q + 1, 11*n = 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 9*p - 256 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 2553*v + 10211\/4.\nAnswer: (v + 1)*(v + 10211)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 768 divided by 12\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -9, 3\/2, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/7 <= 157438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -782 = 2*u - 1104. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67659\/5 at least -13533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -434928 - 0.003.\nAnswer: -434928.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-1 + 2 - 0). Suppose -10*f = -p*f - 50. Solve q = 6*q - f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttt. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 10, -7, 4 in descending order.\nAnswer: 10, 4, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flj when three letters picked without replacement from efmmljed.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k - 3*k + 92 - 30. What is the remainder when z(8) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-567)*342*(-4 + 13).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-391)\/(-68)) + 71\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + 89*j**2 + 131*j - 52. What are the prime factors of c(-36)?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2911, 11520, 25819, 45808, 71487, 102856, 139915?\n\"Answer: 2845*s**2 + 74*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21532179?\nAnswer: 3, 7177393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 11:35 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = -18*a - 246. Calculate the remainder when a is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 - -2.23. Let g = d - 5. What is the third smallest value in -3\/8, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + 3*m**3 + 3*m**3)*(3 - 6 + 1 + (4 - 2 - 4)*(2 + 2 + 4) - 8 + 3 + 0)*(4*m - 4*m + m).\nAnswer: -46*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (574\/1435)\/((1\/5)\/(((-243)\/(-6))\/3))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150493862 divided by 2?\nAnswer: 75246931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 9891?\nAnswer: 138474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21578 * 20931.\nAnswer: -451649118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1878066453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f - 358 = 10 - 53 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5681480 to the nearest 10000.\nAnswer: -5680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7077132308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 60868, -3, 0.1, -3\/7, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by 13\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - u)*(8 + 9*u - 2*u - 4*u).\nAnswer: 3*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -163*s**4\/6 + 807*s**2 + 2. Let a(u) = -3*u. Determine a(z(w)).\nAnswer: 1956*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-2*3\/(-6). What is the units digit of (15\/q - -1)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4398, -7257, -11564, -17313, -24498, -33113, -43152, -54609?\nAnswer: -67478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10022\/123 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 383 - 383 + 8*t to the form m*t + h and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 - 51*w + w**3 + 50*w as c*w + q*w**2 + k*w**3 + v and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 399058, 798142, 1197226, 1596310, 1995394?\n\"Answer: 399084*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 12*v**2 - 22*v + 32. What is the hundreds digit of x(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-three quarters of a microsecond?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18054869741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u**2 - 2*u. Let w be c(-4). Suppose 0 = 3*r - 7*r + w. Let n = -8 + r. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -1369*g**2 - 17612*g - 56644 = 0.\nAnswer: -238\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/60 - 5\/20?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m - 9 + 17 + 7*m - 4 - 6.\nAnswer: -11*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 - -3. Let s = 6.3 - 6. Sort s, k, 5 in decreasing order.\nAnswer: 5, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -553*-0.1.\nAnswer: 55.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 5) + 2 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2658 + -348. Suppose -4*r + 5*g = 543 - q, 5*r = -3*g + 2218. List the prime factors of r.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000677 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25200 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-2\/11)*g)\/((g\/g**(4\/3)*g)\/g) assuming g is positive.\nAnswer: g**(137\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 17*m + 15. What is the units digit of n(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 46*h - 21*h = 114*h - 2340 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6.4048, 1, -1\/3 in increasing order.\nAnswer: -1\/3, 1, 3, 6.4048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - ((-12)\/(-4) + 0). Let h(g) be the second derivative of g**5\/20 + g**4\/12 + g**3\/6 - g**2 + 18*g. What is the remainder when 27 is divided by h(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(55\/(-11)*2\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**2\/7 + 14134*y\/7 - 150944\/7.\nAnswer: 2*(y + 1424)*(5*y - 53)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -6*w + w - d, 0 = -4*d + 16. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15867 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l - l + (-2*l + 5*l - 5*l)*(-1 - 2 + 4) - 2*l - 2 + 2 - 23*l + 2*l - 3*l)*(2*l - 4*l + l).\nAnswer: 31*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -27*r**3 - 7*r**2 + 13*r + 1. Let q(d) = 10*d**3 + 2*d**2 - 5*d. Let f(l) = 3*k(l) + 8*q(l). Calculate f(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -2.7, 0.1, -3, 9, 0.28 in descending order.\nAnswer: 9, 0.28, 2\/19, 0.1, -2.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 2600726 = -3*t - 16*h, 3*h = 4*t - 3467639. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of -1 + 6134 + (6 - 20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/4 + 2\/8 + 10\/6. What is the closest to 2 in p, -334, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15548136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1932.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 16*n - 108. Let b(r) = -r**2 + 8*r - 54. Let s(y) = -5*b(y) + 2*i(y). What are the prime factors of s(14)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89\/238 + 3\/34. Let q be (-20 - -19)\/(2\/6). What is the third smallest value in 1, q, l, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2510934 is divided by 4011?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/13)\/(i*i**(-2)))**(-2\/15)\/((i**(-2\/13)*i*i**(2\/3))\/((i**5*i)\/i*i*i*i*i**(3\/7))) assuming i is positive.\nAnswer: i**(9286\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Suppose 0 = k + 4*k - 40. Suppose 0*q + 4*q = k. Let i(y) = -2 + 2 - q*y. Give u(i(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 23*k**2 + 37*k - 61. Let a be i(-21). Suppose -a*j + 364 = -18*j. Calculate the remainder when 431 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2\/13 - 32\/13*i - 128\/13*i**2 = 0.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 455708.02, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/(o\/o**5))**(-1)*o**(-3)\/o**(-2)*o**(-6\/7)*o\/(o\/(o*o\/(o\/(o\/o**(2\/21))))*o)*o assuming o is positive.\nAnswer: o**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11583 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 22. What are the prime factors of (11 - -32) + u + 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k - 83*k = -8*k. Let f(u) be the first derivative of 0*u**3 - 11\/2*u**2 + 13\/4*u**4 + k*u + 1. What is the second derivative of f(a) wrt a?\nAnswer: 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.305 and 97221.446.\nAnswer: 97221.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*t + 140, -t + 4*t - 5*m = 94. Suppose i - 26 = -i. What is the remainder when t is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*u + 9739*c**2*u**3 + 290*c*u**3 + 2*u**2 + 8*u wrt c.\nAnswer: -6*c*u + 19478*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, r: 1, x: 1, v: 1, a: 1, d: 1}. What is prob of sequence sasr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -77. Let z(p) = 34*p - 4. Let t(n) = -45*n + 3. Let q(r) = 3*t(r) + 4*z(r). Calculate q(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49*-117.2033\nAnswer: -5742.9617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 961608 or 961607?\nAnswer: 961607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -66, 0.04, -0.3, -37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/6 - (-4 - 2). Let u = -13 + s. Let k be ((-12)\/(-30))\/(11\/u). What is the nearest to -2\/5 in k, -4, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 179 - -7635?\nAnswer: 77ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, m: 1}. What is prob of sequence mn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13812662 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((3*(4 + sqrt(192) + 1 + sqrt(192)))**2*-6 - (0 + -5 + -1 + sqrt(192) + 1)**2) + 1).\nAnswer: -215190 - 42800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*f = -212, 4*a + 2*f - 182 = 4*f. Suppose 12*c - 8*c = a. Let d be 5\/4 - (27\/c + -2). Put -2\/19, 0.5, d in decreasing order.\nAnswer: d, 0.5, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and -574.4709.\nAnswer: -16085.1852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3467 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {u: 1, t: 4, r: 2, d: 3, x: 3, q: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pttjppjtjdi. Give prob of picking 3 t and 1 d.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by (-9)\/(-12)*(209 + -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x - 10. Let w(k) = 4*k + 7. Suppose -3*t + 25 = -6*l + l, l + 12 = 2*t. What is t*b(o) + 7*w(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, b: 2, l: 3, y: 2, e: 6}. Give prob of picking 1 e and 2 b.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*k + 36, -k - 1 + 5 = 0. Let s be (a\/8)\/(3\/(-16)*1). Let w = 5 - 1. What is the biggest value in w, s, 1, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -734?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 174? (a) 4 (b) -1 (c) 404118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -41.\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, -3, -4, 20, -10, 5.\nAnswer: -10, -4, -3, -1, 5, 20, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -772.5*0.12\nAnswer: -92.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -2. Suppose -2*n - 45 = -x*n. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, q: 14}. Give prob of sequence kqkq.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**8\/10080 + q**7\/1260 + q**5\/30 - 12*q**2. Let w(c) be the third derivative of i(c). Let w(u) = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 8*g + 6. Determine c(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10539289 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-105))\/(2\/10). What is the closest to 2 in -3, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*w - 75*w + 3*p - 43530 = 0, p + 14498 = w. Is w a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 + -2.76. What is the closest to -0.1 in y, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:47 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5456\/2046)\/((-5)\/(-3))*1\/((-4)\/21).\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.159006936 to four dps.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7710 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25301, -48530, -71741, -94940, -118133, -141326, -164525?\nAnswer: -187736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = -3*n + 3*y, -5*n + 5*y + 20 = 0. Let g = -0.71 - -1.71. What is the nearest to g in 2\/3, 4, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*h - 39962 = 1064*h + 297*h for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:11 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15353869129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1422434*h*y**2*z + 3*h*y + 3*h - 2*y**2 + 8*y*z + 97*y + 1217 wrt z?\nAnswer: -1422434*h*y**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 6*c**2 + 4*c + 6. Suppose 0 = r + 5 - 0. Calculate the smallest common multiple of 10 and k(r).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 792197 - -478654. Let v = 276919 + k. Suppose -652230 = -2*p + v. Round p to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52023.04g to tonnes.\nAnswer: 0.05202304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - 15*z + 3*z**3 - 2*z**2 - 6*z**3 - 14*z**2 + 5*z**3 + 15. Determine f(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/18822 and -133\/7890?\nAnswer: 24750930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (256\/16)\/((-32)\/(-16))*(-2)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (-12 + (-19 - -21) + -1 + 0 - -21)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 7*h + 39. What is t(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44522825 and 1150?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (10 + -3) - (0 + -12 + 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -q + 15. What is the lowest common multiple of 18 and q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -469 - -440. Let a(s) = -297*s + 169. Is a(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4) + 8 + -15 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -182.9, 1\/4 in increasing order.\nAnswer: -182.9, -5, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = -8. Let t = b - 4. Solve 2*l = -t, 2*r - 5*l = 4 + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 13*f - 6 + 5 to m + s*f and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 + 5*z. Let d(c) = -4*c - 1343 + 669 + 674 + 6*c**2. Calculate 3*d(v) + 2*s(v).\nAnswer: 4*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -21. Let b = d - 5. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 - 2*b**2 - 2 + 7*b**2 - 3*b**3 - 4*b**2 to d*b**4 + y*b + t + h*b**2 + i*b**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x - 3. Let o(d) = -3*d + 1. Let k(c) = 5*o(c) + 2*r(c). Let p(z) = 4*z + 1. Determine -3*k(v) - p(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0721 + -0.4669. Let b = w - 0.05. Let f = 0.54 + b. What is f rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.08 (b) 2 (c) 0.11 (d) -1\/5 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((2 - 3) + 0). Solve q = m - 4*c + 15, 2*c = m + 7*c - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 3*w - 7. Suppose -5*k = 3*r - 324, 5*k = -5*r + 47 + 283. Calculate the remainder when k is divided by a(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.554 + -614.994. Round w to the nearest ten.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4956*l**2 - 4 - 4951*l**2 - 4946*l**2 + 14850*l**2 + 4.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -208\/9 or 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = 34*n - 28*n - 220 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 904*o = -899*o + 22, 2*l - 3*o = 16. Let 68*g**l - 206\/9*g**3 + 14\/9*g**4 + 1088\/9*g + 256\/9 = 0. What is g?\nAnswer: -1, -2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -28. Suppose 0 = 3*l + 3*h - 345, b = -h + 2*h + 3. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f - 4. Let v be a(-2). Suppose -v*r + 410 + 1754 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 640452.\nAnswer: 18573108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16459*r**4 + 15519?\nAnswer: 65836*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 + 2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.536 + 6.536. Put 1\/3, -2540, l in descending order.\nAnswer: 1\/3, l, -2540","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 2*s**2 - 1. Let i be g(-2). Suppose 202 = -8*c + 226. Solve -i = -c*f - 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-42)\/((-3360)\/(-50)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y - 7*y + y. Let j(s) = -s. What is n(j(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-7) + -2)*21\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -47.8. Let a(h) = h + 1. Let w be a(-2). Let v = 73\/4 + -18. What is the closest to w in v, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(4 + (4*(sqrt(98)*-1*4 - sqrt(98)) - (1 + (sqrt(98) - 2*sqrt(98)))*3)))**2.\nAnswer: -1019628 + 8568*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.24221 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434 and 170128?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 6:07 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11763.\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000335224814 to six dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111001200200 + -10?\nAnswer: -1111001200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-312)\/(-32))\/((-24)\/352). Calculate the lowest common multiple of 200 and (-46)\/(-8) - (-3 - i\/52).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7894832 divided by -3947416?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:05 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 2. Let x be i(-1). Suppose 1 + x = 2*l. What is the second derivative of -108*v**2 + 33*v**2 + 58*v**l + 16*v wrt v?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + k + 0*k + 1 = 0, 11 = -3*c - 2*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29833, 119342, 268523, 477376, 745901?\nAnswer: 1074098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**7\/399 - r**6\/570 - 6*r**2 - 8*r. Let f(i) be the first derivative of y(i). Suppose f(m) = 0. What is m?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Suppose -z + w = q, -z + 3*q = 2*q - 2. Suppose 5*s - 98 = z*s. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*s + 20 = 0, s = -3*a + 3 - 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from aufkfkf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*x**2 - 12*x**2 + 2*x - 17*x**2 - x - 8*x**4 - 14*x**2 - 2 to f*x + t*x**4 + k + a*x**2 + l*x**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618 - 521 = 99*j - 5447 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -655 + 672. What is the nearest to b in 0.3, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 50155*r + 1003008. Determine q(-20).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 903152706 to the power of 1\/2, to the nearest integer?\nAnswer: 30052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -18. What is the nearest to -1 in -0.5, 1\/2, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655*h + 26341 = -958 - 24446 for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5078353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1824 divided by 6.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5*u - 15, r - 2*u = -3*r + 6. Suppose 7*x - 2*x - 90 = r. Factor -x*z - 2*z**3 + 3*z**5 - 2*z**5 + 19*z.\nAnswer: z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.57, 40, -2?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31602, 51206, 70812, 90420, 110030, 129642, 149256?\n\"Answer: t**2 + 19601*t + 12000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4)*a)\/a*a)**(2\/95)*(a\/((a\/a**6)\/a))\/a**(-2\/7) assuming a is positive.\nAnswer: a**(1945\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*p + 93*p - 70 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 - 3 + 2*n**2 to o*n + f + y*n**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h + 1)*(-3 + 0 + 0) - h + 8*h - 2*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/75095098 and 101\/51988914?\nAnswer: 675855882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*2 - sqrt(24) - (sqrt(384) - 3*sqrt(384)))\/(sqrt(8) + sqrt(32)\/(sqrt(20)\/sqrt(5)) - sqrt(200)*-4).\nAnswer: 19*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t - 6. Let x(s) = s**3 - s**2 - 6. Let r(l) = 5*k(l) - 4*x(l). Let w be r(-5). What is the units digit of 3\/w - (-5)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10022122120 (base 3) to base 13\nAnswer: -23994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -6, 4 in descending order.\nAnswer: 4, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15923 - -16076. Is h bigger than 1080\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -6.540492.\nAnswer: -58.864428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2799 + -6171. Let n = y - -7271. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 46237?\nAnswer: -46241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1093*g**2 + 104956*g + 2685. Determine s(-96).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19*v**2 - 2. Let o(b) = b**2 + 6*b - 2. Let k(s) = 27*s**2 + 153*s - 51. Let i(l) = 6*k(l) - 153*o(l). Calculate q(i(z)).\nAnswer: -1539*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.5 - -10. Let y = -4.08 - -0.08. Let m = 9 + y. What is the closest to 1 in 2\/21, m, z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 6*u**2 - 2*u + 1. Suppose 4*n - 15 = -n - 5*x, -27 = -5*n - 2*x. Suppose 0*r = -n*r - 35. Determine j(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 6. Suppose 0 = 2*f - n - 14 + s, -33 = -5*f + 4*n. Sort f, -3, -1 in descending order.\nAnswer: f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - 2)\/(6\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/11, 34, 2, -0.4.\nAnswer: -1, -0.4, -2\/11, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/159603584 and -37\/3.\nAnswer: 478810752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a + 49. Let i be d(6). Let h(n) = n**3 - 6*n**2 - 8*n - 9. Give h(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**3 + 2*m**3 - 3*m**3)*(-5*m - 6*m + 3*m) - 200*m**4 - 200*m**4 + 413*m**4 to the form j + c*m**3 + t*m**4 + n*m + h*m**2 and give t.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-186)\/186 + 3\/(3 + -2). Solve 2*y**l - 22\/7*y - 2\/7*y**3 + 10\/7 = 0 for y.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 145*g**3\/3 + g**2\/2 - 29*g + 218. What is the second derivative of c(s) wrt s?\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4493 + 1521 + 1509 + 1449 + 3*a.\nAnswer: 3*a - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3992 - -4003. Let i(s) be the second derivative of g*s - 2*s**2 + 0 - 1\/6*s**3. Calculate i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114919.\nAnswer: 7, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 1. Let t = 27 + -28. Give a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/11)\/((672\/(-32))\/(-21))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:59 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 123, 85, -23, -207, -473, -827, -1275?\nAnswer: -1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 2*m**2 + m + 1. Let w = 6 + -3. Let b be x(w). Let j be (-4 - b)*(3 + 0). Solve 0 = -j*n - t - 3 - 1, -16 = -5*n + 4*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z + 4. Let g(w) = -w + 1. What is d(n) - 6*g(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5392 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6725.17863 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) + 4334681\/507. Round r to the nearest one hundred.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (-72)\/(-4))*-1 + -3. Let u = -14 - w. Let h be (-488)\/(-7) + (-26)\/(-91). What is the greatest common divisor of u and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 41. Let k be f(-20). List the prime factors of (k\/(-2))\/(10590\/1764 - 6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 1. Let h(t) = 6*t - 6. Let i(d) = 2*h(d) + 15*s(d). Let f be -3 - 1\/(1 + 0). Is 13 a factor of i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 9 + 22 + -3 + 44.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210097067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 156250*f**2 + f - 4. Let m be o(4). Suppose m = -4*i - i. What is i rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {a: 3, m: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -262*c - 18374. Calculate z(-70).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*n = 328326, 328310 = -3*r - 18*n + 13*n. Round r to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4.9, 2\/9, -36, 2\/23, -4\/9, -0.3, 7?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1636 + 3327. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/c**(-5\/7))\/(((c*c**(-10)\/c)\/c)\/(c*c*c\/(c*c**(1\/7))*c)) assuming c is positive.\nAnswer: c**(292\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 850\/119 + (0 - 8).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -32*v**3 - 5*v**2 + v - 3. Let a(s) = 15*s**3 + 2*s**2 + 1. Give 5*a(f) + 2*c(f).\nAnswer: 11*f**3 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14393 divided by -6\nAnswer: -14393\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3786 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17318 (b) 0.5 (c) 1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*h**3\/13 - 6384*h**2\/13 + 589014*h + 5117113156\/13 = 0. Calculate h.\nAnswer: -761, 4418\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkskkkkkkkssk. What is prob of picking 1 k and 3 s?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) - (sqrt(125) + 3*(sqrt(125) + 1))**2.\nAnswer: -2009 - 115*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1380294 or -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1931*f**3*h**3 - 3*f**3*h**2 + 1265*f**2*h**3 + 1482297*f*h**2 wrt h.\nAnswer: -11586*f**3 + 7590*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0*-2*(-6)\/36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2.8, 34, -0.2, -3\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 8:15 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 - 31*o + 6. What is q(-11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.69 - -26. Let d = 0.01 - h. What is the third biggest value in d, -0.4, 1\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/767762 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 2983940*d - 5967896.\nAnswer: 4*(d - 745987)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 263648 and 51740920.\nAnswer: 206963680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 621*t**3 + 37 - 138.\nAnswer: -621*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2176?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*f**2 + 0*f**3 + 0 + 4\/7*f**4 - 2\/7*f + 2\/7*f**5.\nAnswer: 2*f*(f - 1)*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -65. Let m(b) be the third derivative of 0*b**3 + 0*b**k - 1\/20*b**6 + 3*b**2 + 0 + 1\/21*b**7 + 0*b - 1\/15*b**5. Factor m(i).\nAnswer: 2*i**2*(i - 1)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -20, -31?\n\"Answer: -11*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12160, 12166, 12172, 12178?\n\"Answer: 6*l + 12154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1438121715 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 22*u + 7. Give c(7).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-2 + 1))\/2. Suppose 5*a = -0*n - n + 23, g = 2*n + 3*a - 18. Suppose -16 = y + n*y, 4*c - 2*y = 48. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmmh when four letters picked without replacement from hmhkkkhkppgbmh.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l**3\/5 - 292*l**2\/5 + 232*l\/5 + 76\/5 = 0.\nAnswer: -19, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 63 = 10*x. Let d be 136\/(-14) - 2\/x. Sort 4, -4, d in increasing order.\nAnswer: d, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*g - 9*g. Let t be 4\/5 + g\/(-30). What is the closest to 1 in -0.4, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/12 - (-41)\/3. Suppose f = -4*f + 75. Let c be 3\/f - k\/(-5). Solve -4*s - 7 = c*h + 1, 2*s + 2*h + 2 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - 4*m**2 - 5*m**4 + m**2 + 183*m - 185*m to the form o*m + d + s*m**2 + u*m**4 + r*m**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16171?\nAnswer: 103, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5135 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 32*t**3 - 11*t**2 - 5*t. Let v(j) = 16*j**3 - 6*j**2 - 3*j. Suppose 43*u + 5*u + 90 = 18*u. Give u*r(w) + 5*v(w).\nAnswer: -16*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 130.\nAnswer: -4, 3, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 - 1 + 1 + 3*o**2 - 17*o**2 - 37*o**2 + 0*o**2 - 4*o**2 + 5*o**2 + (6*o - 2*o - 2*o)*(2*o + 1 - 1) + 0*o - 2*o**2 + 0*o.\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7030204 by -118.\nAnswer: -59578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1382 = 2*w - 6*w, -3*r + w = 2068. Let f = -194 - r. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 2*v = -560. Let j(x) = 59 + 2*x - v - 34. What is j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11630 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/(-8)*(-266)\/(-8379). Let y = 22 + -12. Let x be (-2)\/(-5) - 14\/y. What is the smallest value in l, x, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(5 + (-1*sqrt(224))\/(sqrt(252) - (-1*sqrt(252) - sqrt(252)))).\nAnswer: -20*sqrt(2)\/9 + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:16 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 8*y**2 - 20*y + 246. Let r be v(8). Solve 32 = -18*f + r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57121*w**2\/5 + 4541956*w\/5 - 90288004\/5.\nAnswer: -(239*w - 9502)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(5208\/(-126) - -41).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5244*s - 5231*s - 5315*s + 15898*s.\nAnswer: 108*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453, 455, 457, 459?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {c: 3, t: 4, y: 7, i: 5}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 8. Let x = q + -6. What is the closest to -4 in 1, x, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -0.1, 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five thirds of a year?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-2 + 4 + -1 + -9 + 9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r + 27. Let k(n) = 2*n**2. Give k(f(w)).\nAnswer: 32*w**2 - 432*w + 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -12. Let y = 0.1 + 3.9. Which is the closest to -0.1? (a) -2\/11 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + -1. Let t(k) = -4*k**2 - 5*k + 2. Let h(a) = 3*a**2 + 5*a - 1. Let n(p) = 3*h(p) + 2*t(p). What is the units digit of n(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -186, -196, -208, -222?\n\"Answer: -x**2 - 7*x - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2. Let u(o) = 2*o**2 - 2. Suppose 0 = -a + 2 + 3. Let r(t) = -a + 4*t**2 - 16*t + 16*t. Let j(f) = -2*r(f) + 5*u(f). Calculate d(j(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 3*m = 5*x - 4420, -2*m - 8 = 0. Let n = x - -4505. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*t**3 - 18*t**3 - 248230*t**2 + 248269*t**2 - 29*t**3 in the form p*t + f + a*t**3 + r*t**2 and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*3\/(-12)*-2. Suppose 3*f + c - 13 = x, -3*f + 2*c = -5*f + 10. Let y = f - 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (-1 - -2))*(-6)\/12. Let o(s) = s**2 + s + 1. Let g(k) = 3*k**2 - 3*k + 4. Let b(d) = j*g(d) - 2*o(d). What is b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37633317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 3, 2, 161, 55 in increasing order.\nAnswer: -1, 2, 3, 8, 55, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408 is divided by 87.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 260672057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 13*q**2 + 107*q - 180 - 27*q**2 + 0*q**2 + 16*q**2 - 53*q = 0?\nAnswer: -30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -2305911.\nAnswer: -7\/2305911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89 (base 11) to base 3.\nAnswer: 10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 3341 + 3334 + 3*t**2 - 3*t**3 + 13*t. What is z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 374129.\nAnswer: 2\/374129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 20*f**2 - 19*f - 27. Calculate b(-19).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53025 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/42*8)\/(6\/9). Is m < -22\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 403 = 3*f, 0 = f + y + 180 - 44. Let q = -104 - f. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*t - 55, -2*n - 3*t = -6943. Calculate the greatest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-9)*(-72)\/15. Suppose 4*q = -y, 3*u - u + q = -24. Let f(s) = -7100*s**3 + s**2 + 11*s + 10. Let k be f(u). Round k to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 2062 - 2246. List the prime factors of c.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -9 + (19\/(-133) + 47\/(-14))*14.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, -0.4, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 8*p + 2. Let q be r(-7). Let y be 6\/27 + q\/18. Let m be (0 + 2)\/(-3 - y). Put 0, m, -5 in descending order.\nAnswer: 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 544, 643, 742, 841?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9093 + 9117 + (0 + 1 + -1 - 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13522127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4076981984 to the power of 1\/2, to the nearest integer?\nAnswer: 63851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10c8 (base 13) in base 11?\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 4 = 9*w. Suppose u + 74 = w*u. Let j = u + 137. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1.5. Suppose 0 = 11*s - 8*s + 9. Put s, 0, h in ascending order.\nAnswer: s, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (-41 - -45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - s**2 + s**2 + (-8*s**3 + 45*s**3 + 53*s**3)*(0*s - 4*s + 0*s).\nAnswer: -358*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, -66675, -1.1 in descending order.\nAnswer: 3, 2, -1.1, -3, -66675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3 + 391*m**2 + 11176*m + 45980 = 0.\nAnswer: -22, -5, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(5 - (-55)\/(-15)) + -3*1. Put -3, 23, j, 0 in decreasing order.\nAnswer: 23, j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**4\/2 + 3*d**3 - 4*d + 185. Let v be w(-4). Solve 2*t + t = -3*s + v, 5*s - 18 = -4*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221*o**3*y**4 + 2*o**3 + 9*y**2 wrt y.\nAnswer: 5304*o**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3282 - -22929\/7. Let v = 46\/7 + p. Let j = 4 + -3. Which is the closest to j? (a) v (b) -3\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u + 6. What is p(5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -19. Suppose 0 = 31*g - 30*g. Suppose -94*j + 92*j + 6 = g. Calculate the highest common factor of t and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 0.06080812.\nAnswer: -0.23919188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125 + 300010?\nAnswer: 255441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 3*q - 1. Let g(r) = 37*r**2 + 12*r + 12. What is -g(d) + 4*v(d)?\nAnswer: -33*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26.147399 (b) -0.2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 207\/45)*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.8 - 1.8. Let g = 0.017 - 9.017. Let q = v + g. What is the third smallest value in q, -0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.261 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -248952.8 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -234\/25 + 219\/25. Put 2\/13, l, 6.3, 1 in increasing order.\nAnswer: l, 2\/13, 1, 6.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1776*t**3 + 1906*t**3 - 1 - 21*t**2 + 1 + 19*t**2.\nAnswer: 130*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.92 take away 26.5048?\nAnswer: -10.5848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 13. Let g = -0.55 - -0.94. Let o = g - -0.01. Which is the nearest to m? (a) o (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 - 5?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -31. Let r be 6 + 0 - (d - -7). Find o such that 4*o - r*o + o**2 + 3 - o = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -51 + 57 + (0 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -15. Factor s*h**2 + h**2 - h - 8*h.\nAnswer: 3*h*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0 - 2. Let r be (-4)\/o - (-20)\/5. Suppose -f - f = -r. Let d(w) = -8*w. Calculate d(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**41\/n**(1\/44) assuming n is positive.\nAnswer: n**(1803\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 7, c: 2, j: 1, d: 5, t: 1}. Give prob of sequence cjc.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7097, -14001, -20969, -28031, -35217, -42557, -50081?\nAnswer: -57819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*z - 4*b, 8 = z + 4*b + 3. Suppose 0 = -2*d + 11 - z. Solve -d*o = 8 - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + (sqrt(320) - (-2*sqrt(320))**2) + 5 + 2 + sqrt(320) + -1 + sqrt(320) + 0 + -5 + (2 + sqrt(320) + 1 - sqrt(320)).\nAnswer: -1276 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s - 6*s**2 - 36*s + 3*s**3 + 6 + 41*s.\nAnswer: 3*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 10:58 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 1. Let i(j) = 12*j**2 + 67*j + 67. Let n(a) = -4*a**2 - 22*a - 22. Let p(u) = -2*i(u) - 7*n(u). Give 20*h(r) - p(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -2, 9, 40, 97, 186, 313, 484?\n\"Answer: j**3 + j**2 - 13*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4863225 and 18117?\nAnswer: 481459275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 5. Calculate the common denominator of -1 - -79*(-1)\/r and 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05349 - -0.053493219. What is p rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -46 + -10 - (-30 - 0 - -4)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158144408 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*f - 149, 5*z + 8*f = 4*f + 227. Let a = z + -60. Which is greater: -27\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -10 - 10, 3*p + 84 = -4*l. Let u be 51\/l + -1 + 10\/12. What is the units digit of 109\/(-2)*(-5 - u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 136*t**3 + 5*t**2 + 20*t - 96. Is f(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.006*3.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 353725048+0.52\nAnswer: 353725048.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19967, -39975, -59983, -79991?\n\"Answer: -20008*d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -4174479 and -4174462 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, x: 6}. What is prob of sequence ggxg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 184 = -2*a. Suppose -2422 + 369326 = a*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(93\/(-36)) + 6 + -24.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*v - v = 2106, 0 = -p + 2*v - 706. Calculate the common denominator of 15\/(-16)*p\/(-63) and 89\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2703 and 3264?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {g: 3, y: 1, i: 1, z: 1, x: 2, h: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 9)*(0 - 134 + 8)*(-3*m + 3*m + 2*m**2) to the form b + y*m + s*m**2 and give s.\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 7*p = 242. Let z be 1\/(-9)*-6*-30. Calculate the remainder when (-15)\/z + (-690)\/(-8) is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - -6.7765.\nAnswer: 18.7765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + ((-1*sqrt(704) + sqrt(704) - sqrt(704) - sqrt(704)) + 1 - sqrt(704)) + sqrt(704) - sqrt(704)) + 1 + -1*sqrt(704)*-1*4)**2.\nAnswer: 64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 2. Suppose -15 = 3*g - 0*g. Let r(b) = -b**2 - 3*b + 15. Let x be r(g). Determine l(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/8 + 597*k**2\/16 - 765*k\/2 + 5711. Factor x(v).\nAnswer: 3*(v - 5)*(v + 204)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8967 is divided by 1345?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*k + 70, -73*k - 98 = -78*k - 4*h. Let z be (-4)\/4*35*-1. Calculate the highest common factor of z and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -775*i**4\/4 - 394*i**2 - 286. What is the second derivative of x(k) wrt k?\nAnswer: -4650*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (8 - 7 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -363*u + 361. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -174*m + 26. Let c(f) = 123 + 499 - 6613*f + 461 - 97. Let j(z) = -4*c(z) + 153*i(z). What is the derivative of j(t) wrt t?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j**3 + 8*j**2 - 5*j - 2. Let f(y) = y**4 + 45*y**3 - 39*y**2 + 26*y + 11. Let i(r) = 6*f(r) + 33*q(r). Factor i(n).\nAnswer: 3*n*(n - 3)*(n - 1)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/1 + (1 - 1). Let z = -28 + 29. Sort -2, j, z.\nAnswer: j, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 2*z**3 - z**3 + (4*z**2 + 4*z**2 - 4*z**2)*(-z + 0*z + 2*z))*(0 + 4 - 2)*(-z + 0*z + 2*z).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-68) - -3 - (-78)\/204.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.483661358 from 1560.2.\nAnswer: 1560.683661358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 divided by -18?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-105)\/4)\/5)\/(66\/792).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1065300 and 36859380.\nAnswer: 184296900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 equal to 1233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 - 5. Let b(p) = 4*p**2 + 6. Let i(q) = 5*b(q) + 6*y(q). Let o(j) = -j. Let n(d) = 12*d. Let w(c) = n(c) + 10*o(c). Determine w(i(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5*s + 13*s + 3 + 4.\nAnswer: 18*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 65. Does 2\/171 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -k. Does 8 divide (k + 4)*(-16)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -531 - 1963. Let o = -44879\/18 - f. Calculate the common denominator of o and 23\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1215 and 330?\nAnswer: 26730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -5*h**8\/168 - h**4\/24 - h**2. Find the second derivative of c(t) wrt t.\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 21 = 63. Let r = -41 + 45. Suppose r*w + 5*m - 476 = -109, 4*m = -20. What is the highest common divisor of b and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -0.44. Let g = 1\/58 + 55\/174. What is the nearest to -0.1 in 2\/9, g, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011001 + 10011001?\nAnswer: 110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3667867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) 2 (c) -166 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 5*l - 2*l)*(-16662*l + 36340*l - 17897*l).\nAnswer: -14248*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k, 5*y + 5*k - 26 = 29. Let l = 8438 + -8374. What is the highest common factor of y and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (5 - 2 - -27566). Suppose -u = w + 12467. Is w\/(-15) - (-12)\/(-90) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - w**3 + 3*w**3)*(8 - 8 - 17*w - w + 5*w + w + (w - 2 + 2)*(3 + 2 - 3)).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 - 77. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a tonne in kilograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22514.\nAnswer: 2, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 0*d - 2*d**2 + 2*d - d**3 + d + 2. Suppose 0 = -2*l - 3*a + 22, 4*l - l - 22 = a. Suppose 2*q + 10 = -2*x, 0 = q - 3*q + 4*x + l. Determine w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35049 or 2?\nAnswer: -35049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z**2 + z**3 + 5*z**2)*(4 + 0 - 6) - 3*z**3 + 3*z**3 + 6*z**3)*(2*z - 2*z - 2*z**2) + 14264*z**4 - 14264*z**4 - 1588*z**5 - 4*z**5 + 3*z**5 - z**5.\nAnswer: -1598*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 2*j**2 - j + 7. Let d be c(-3). Let o(p) = 2*p**2 - 8*p - 9 + d - p**2. Is o(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -29.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3077.\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**2 + 29*j. Let v be h(7). Let q = v - -33. Let z(b) = -b - 7. Give z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171) - (sqrt(171) + sqrt(171)*2)))\/sqrt(9).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/7 - 338*b**3\/7 + 7156*b**2\/7 + 708800*b\/7 - 4440000\/7 = 0. What is b?\nAnswer: -37, 6, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211579 (base 10) to base 9.\nAnswer: 352207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + 3*n**4 + n**4 - 934 + 231*n**4 + 934 + (n**4 - 4*n**4 + n**4)*(1 + 0 + 0) + 1 - 1 - n**4 - 4*n + 4*n + n**4.\nAnswer: 230*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 6*m**2 + m - 4. Let t(x) = -75*x**3 + x**2 + x - 1. Let g be t(-1). Let i = -54 + g. What is the lowest common multiple of a(6) and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 5*v**2 + 3*v - 4. Let c be n(-6). Suppose -4*q + c = -98. Suppose -4*z + q - 4 = 0. 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: Suppose 0 = -j + 1 + 1. Let s(q) = j*q - 5 + 5. Let r(v) = v**2. Calculate s(r(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 9, 2, -10.\nAnswer: -10, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 42. Suppose -8*f + 3*f + 24 = -w*k, -2*f - 5*k - 2 = 0. Factor 2*l**2 - 3*l**4 - 5*l**2 + 7*l**4 - l**f.\nAnswer: 3*l**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2. Let o = -2206 + 3839. Let j(w) = -o*w**2 + w + 564*w**2 + 538*w**2 + 590*w**2. Determine b(j(t)).\nAnswer: 6962*t**4 + 236*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.901547 - 34.9. Round v to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4759, -9640, -14521?\nAnswer: -19402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.403 from -417987994.\nAnswer: -417987994.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) - (0 + (sqrt(700)*-1)**2).\nAnswer: -700 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l + 68*l = 6928. What are the prime factors of l?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.1 and -1.85.\nAnswer: -20.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 653300 and 148452?\nAnswer: 174431100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22074 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/166258 and 143\/10284.\nAnswer: 997548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -72 + 22 + 19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11951300?\nAnswer: 2, 5, 119513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/112 and 11\/60904.\nAnswer: 852656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 + 2*a**3)*(2*a - 2*a - 2*a) - 46*a**4 + 32*a**4 + 90*a**4 + (-a**3 - 2*a**3 + a**3)*(0*a - 5*a + 3*a).\nAnswer: 82*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4 - 6. Let z = 7 + -5. Let 4 - 12*f**z - 2*f**2 - 12*f - 2*f**d = 0. Calculate f.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16370*k + 16377*k + 29*k**3 - 106*k**3 + 88*k**3 - 32747*k.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**2 + z**4 - z**4 - 5*z**6 + 2*z**2 wrt z.\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -4, 2, 65 in descending order.\nAnswer: 65, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - m**3 - 2*m**3 + (m - 3*m + m)*(12*m**2 - 18*m**2 - 16*m**2).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - 4*d**2 + 5*d - 5. Let y(l) = 4*l**3 - 6*l**2 + 7*l - 7. Let c(m) = 7*x(m) - 5*y(m). Give c(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 17*k**6\/10 - 5*k**3\/6 - k**2\/2 - 17*k. Find the second derivative of x(d) wrt d.\nAnswer: 612*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/42)\/((-18)\/(-63)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 816\/(-510)*(-13)\/26?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -10 - (-1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -17 + 2. Suppose -x - 5 + 0 = -3*l, j*x - 13 = -4*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 0*i + 2*i)*(5 - 1 - 3) + (i + 10*i - 6*i)*(-26 - 13 + 6) + (-2 + 5 - 1)*(-2*i + 2*i - 2*i) as a*i + u and give a.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 57*j**3 + j + 1. Let z(w) = -8*w - 16. Let a be z(3). Let k = 43 + a. Is i(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0223 and 0.1.\nAnswer: 0.1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 95 + 2296 = -714*m - 70*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 + 37 + -106 - (49 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Let u = -2.1 - -1.6. Let v be (-2)\/6 - (-56)\/(-12). Which is the biggest value? (a) v (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1839112*o**2 + 2312986.\nAnswer: 3678224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27959?\nAnswer: 73, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1911 * -2346.\nAnswer: -4483206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y**(2\/13)*y*y)\/y)\/y*y*y**(-2\/11))**46\/(y*y**(-5)*y\/y**(-3\/10))**(-44) assuming y is positive.\nAnswer: y**(-20082\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 16 = -2*n, 5*n = -4*q + q + 44. Let l(o) = 0*o - 3*o**2 + 11*o - q + 0*o - 1074*o**3. Let z be l(8). Round z to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - 72\/(-16). Sort m, 3, -5 in descending order.\nAnswer: m, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 20 = -14*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113780266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21492 (base 14) in base 9?\nAnswer: -132361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2903 is divided by 484?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 4:15 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1108.51952 to the nearest 10.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1096\/(-16)*(-1 - -3). Which is smaller: r or -136?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133723, 267403, 400975, 534385, 667579?\nAnswer: 800503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**(-1\/3))**21*(h*h**4)\/(h\/(h**(-9)\/h)*h*h*h)*h\/(h\/(h*h**5*h))*h*h\/(h*h**(-4)) assuming h is positive.\nAnswer: 1\/sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5998.\nAnswer: 2, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1534 = -5*r, -80 + 594 = l + r. What is the derivative of -44 - l*u - 2*u**4 - 541*u + 1143*u + 7 wrt u?\nAnswer: -8*u**3 + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3\/5 + 5736*t**2\/5 + 708177*t\/5 + 4239858 = 0. Calculate t.\nAnswer: -59, 2030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/3 - 317*y**4\/3 + 10790*y**3\/3 - 43326*y**2 + 224937*y - 424035 = 0. Calculate y.\nAnswer: -349, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/77)\/(o\/(o*o**(21\/4)))*o\/(o*o**(-12))*o\/(o\/((o*o**7)\/o))*o*o assuming o is positive.\nAnswer: o**(8093\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 11112131113101?\nAnswer: 11112131113102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -2a117?\nAnswer: -2a11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -31*h + 99. Let i(b) = -b**2 + b - 10. Let x be i(3). What is the tens digit of w(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a + 0*a)*(4*a**4 - 8*a**3 + 8*a**3 + (a**4 + a**4 - 3*a**4)*(-5 + 3 + 1) + 465*a**2 - 465*a**2 - 50*a**4).\nAnswer: -45*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -2) + 1 - -3. Let m be r - (3 + 2\/2). Solve -2*b + 5*b - 9 = m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 6. Let q = 55 - n. Suppose 64*y - 851 = -83. What is the greatest common factor of y and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198.853 + -0.147. Which is the biggest value? (a) 2\/11 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 j, and 2 l when four letters picked without replacement from jlvluluuulllllul?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 315.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (18 - 16)*(-226)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + h. Let w be l(-1). Suppose 0 = 2*d - 4 + w. Which is the second smallest value? (a) 2\/15 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/3 - 8*o**4\/3 + 275*o**3\/3 - 806*o**2\/3 - 1660*o\/3 + 2200\/3 = 0.\nAnswer: -22, -2, 1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-12)\/(-10) + 18\/(-45). Solve -4*t = -3*i + n*i + 6, 0 = -2*i + 3*t + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 11*y - 4. Suppose -3*g + 7*g = 28. Let m(j) = 4*j**2 + j + 2 + 0*j**2 - 3*j**2 - g*j. Determine -11*m(c) - 6*p(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 255138726 to the power of 1\/2, to the nearest integer?\nAnswer: 15973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2888 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**2 + 5*u - 3. Let n(a) = 17*a**2 - 11*a + 7. Determine -5*g(s) - 2*n(s).\nAnswer: 6*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 321 + -320.8. What is the smallest value in 1\/3, u, 10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15566953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -8) + (-3 + 3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (81 + -20 - 19)*2\/14*12. What is the highest common divisor of 228 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 10:49 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {k: 7, f: 3, c: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 81 = 4*s - 5*s, -88 = -4*g + 5*s. Let w = 22 - 28. Let c be ((-68)\/(-10))\/(w\/(-15)). Calculate the highest common divisor of c and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 i when three letters picked without replacement from {o: 9, i: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7867887 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*b + 8*b = 1517460. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203 - -203010?\nAnswer: 202403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005322608068 rounded to seven dps?\nAnswer: -0.0000532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2115 and 291315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/8)\/((-3)\/8 + (-675)\/(-600)). What is the nearest to -2\/7 in -19, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6748*u = 6770*u - 66. Let i(o) be the second derivative of 0*o**u - 45\/2*o**2 + 0*o**4 + 1 - 43*o + 9\/10*o**5. Differentiate i(y) wrt y.\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3943343 - 3943343 + 51*x.\nAnswer: 51*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15394 times 0.4?\nAnswer: -6157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 22*l**2 - 24*l + 36. Let p be z(23). Let m(s) = -s - p*s + 15*s - 1. Let g be (-2)\/3 - 112\/21. Calculate m(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4984 = 132. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 divided by -34?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24302*d**3 - 624366.\nAnswer: 72906*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192536445 and 381.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 17*f**3 - 6. Let l(j) = -35*j**3 + 11. Give 6*l(k) + 11*z(k).\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 1 in increasing order.\nAnswer: -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-15)*m))**20)**(-10))**(1\/25) assuming m is positive.\nAnswer: m**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 14430310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -134817.9254 + 134843. Let v = o - 25.1. What is v rounded to 3 dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*f - 4*m, f - 5 = 4*m - 3*m. Suppose 3*j = -n - f, 3*n = -0*n + j + 34. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5254*q**3 + 3*q + 5250*q**3 - 3*q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.994 + -16.994015453. Round l to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0*q**3 + 1\/30*q**5 + 0 + 0*q + 0*q**4 + 3*q**2. Let t(l) = -l. Let a(i) = -5*i. Let b(p) = -a(p) + 6*t(p). What is b(j(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**3 + 2*s**2 - s. Let t be j(1). Suppose -5 = -5*b + t. Let g be (34\/(-5))\/(b\/(-45)). What is the greatest common divisor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 17\nAnswer: 41\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25128 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 16 - 21)*(4 - 4 - 2*h**2) - h**2 - 22*h**2 - 5*h**2.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 + 357. Suppose -m - g = -5*m - r, 0 = -5*m + 2*r + 215. Suppose 3*n + 2*a = 58, -n + a - 17 = -m. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*z + 399, 119 = 2*r - 2*z - 133. Let b(f) = -r*f**2 + 133*f**2 + 2 - 2. Let c(v) be the third derivative of v**5\/30 - 5*v**2. What is b(c(k))?\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 107*q + 52. What are the prime factors of a(6)?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2487170*j - 5215957.\nAnswer: 2487170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3448 - 772.3677.\nAnswer: 2675.6323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33204 rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4291 - 0?\nAnswer: 4291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 75*c**3 - 55*c**3 - 2 - 20*c**3 - 667*c**4 + 3 in the form n*c + w*c**3 + o*c**2 + a*c**4 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26924 + 26928. Solve 24*l + 140 = -n*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -5*r**4\/24 - 4*r**3\/3 - 55*r**2. Let d be s(7). Put 0.1, d, 2 in decreasing order.\nAnswer: 2, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 67*l - 36*l + 120 - 47*l. Calculate the remainder when 77 is divided by g(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = 10*x - 3*m + 19, -8*x + 10 = 3*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-1\/2)))**(-2\/41) assuming r is positive.\nAnswer: r**(-1\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 + 7 = 0. Suppose i - 4*f = -5, s*i - 7*f + 4*f = 0. Suppose -j = -4*x - 5683, -i*j - x = 1389 - 18438. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 325432*d**2 - 325432*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 6:02 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x - 4. Let r = 871 - 885. Let l be 3\/2 - (r\/4 + -2). Let a(i) = -4*i - 3. Give l*a(c) - 6*s(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9149.\nAnswer: 7, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + n - 2*n**4)*(36*n - 142*n + 4*n) + 3*n**5 - 4*n**5 + 3*n**5 + (3*n + 0*n + n)*(-4*n**2 + 2*n**4 + 4*n**2).\nAnswer: 214*n**5 + 102*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.12 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(405)*1)**2.\nAnswer: 90*sqrt(5) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -173, -172, -171?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 7*q + 24. Let r(m) = -m**2 + 3*m + 12. Let l(g) = -3*p(g) + 5*r(g). Let t be l(12). Suppose -219 = -3*w - t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 160?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 6*k**2 + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 2, h: 1, j: 1, z: 2}. What is prob of picking 1 b and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2669253, -5338542, -8007831, -10677120, -13346409?\nAnswer: -16015698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000118869331 to 6 dps.\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 49 = b, -b - r + 123 = 2*b. What are the prime factors of 3692\/10 + (-8)\/b?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 0 + -8 + 3\/((-12)\/25)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 2*z + 25)*(-2*z**2 + z**2 + 3*z**2)*(-2*z + 2*z + 2*z**2).\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 + 1\/(-2 + 7))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1720 divided by -2.\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z*z**33*z))**3)**24)**(-6\/11) assuming z is positive.\nAnswer: z**(15120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + y + 1. Let f(s) = 11*s**2 - 2*s - 11. Give f(z) - 6*n(z).\nAnswer: -z**2 - 8*z - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4212) + sqrt(52) + sqrt(312)\/sqrt(24))\/((sqrt(28)\/(sqrt(7)*-2) - sqrt(4)) + sqrt(44)\/(sqrt(11) + -2*sqrt(11)))*-4*3*-4)**2.\nAnswer: 13208832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1221059943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401275?\nAnswer: 5, 23, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.25 and -2?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 8*a**2 + 2*a**2 + a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 100*x**4 - 304*x**3 - 3184*x**2 - 5888*x - 3072 = 0.\nAnswer: -2, -24\/25, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(3\/3 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 + 21024?\nAnswer: 21114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8d21b (base 14) to base 8\nAnswer: 1236571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 852078 divided by 7221\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62652.\nAnswer: 2, 3, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + x - 24 = 0, -3*j + 2*x + 3*x + 42 = 0. Let v(g) = -g**3 + 10*g**2 - 13*g + 8. Let a be v(j). Let l = a + 24. Put 17, 0, -2, l in decreasing order.\nAnswer: 17, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003180305 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-100)*-3*(-4)\/9. Put -0.2, o, -3 in ascending order.\nAnswer: -3, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/((-720)\/712 + 1) is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 51*p + 9448. Is 15 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-1))\/((-1)\/(-4)). Let w(t) = -t**3 + 3*t**2 - t + 1. Let m be w(2). Put d, m, -1 in descending order.\nAnswer: m, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**4\/4 + 10*j**3 - 10*j**2 - 95*j - 115. What is the units digit of h(29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 11*f - 44 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4\/7, -4\/143, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15 + 21)*(-2 - 88\/(-42)). Which is the second smallest value? (a) h (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*b + 20*b + 6*b + 562)*(4 + 3 - 5 - 1 + 3 + 0 + (2 + 1 - 4)*(-3 + 5 - 1) + 0 + 2 + 0) as m + o*b and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 5944509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23691 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013554831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8184 or 8186?\nAnswer: 8184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29484 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263\/2 - -131. Are c and -5\/411 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.7, -1, -4, -1.531?\nAnswer: -1.531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**3\/3 - 2. Let m(v) = 5*v**2 + 2*v + 2. Let r(z) = m(z) - 6*y(z). Give r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u**(2\/3)*u)\/u)\/u)**(1\/28)\/(u**(3\/2)*u*u**(-3\/11))*(u**(-6)*u**(2\/13))\/((u\/((u*u**(2\/9))\/u)*u*u)\/(u\/u**2)) assuming u is positive.\nAnswer: u**(-106553\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-679)\/(-77) - 6) + 2\/11. Suppose h*o - 3*j = -o + 486, 5*j = -2*o + 230. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.7614 * -0.3.\nAnswer: -4.72842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4374 - -1.4006. What is h rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/37)*a)**47 assuming a is positive.\nAnswer: a**(1833\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -109 (base 13) to base 2\nAnswer: -10110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6432111 (base 8) to base 15.\nAnswer: 23dc81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7 + 6 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2477 + 1133 = -95*c for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 223653164 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 (base 12) in base 3?\nAnswer: -11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 d when four letters picked without replacement from {m: 9, d: 11}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 2089337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 246*i**3 - i**2 + i - 889*i**3 + 404*i**3 to the form g*i**2 + d + w*i + q*i**3 and give q.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1518 and -87\/22.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*m + 27 = 0, -5*p - 3*m = -0*p - 30. Suppose 0 = -5*n + 199 - 224. Put p, 1, n in ascending order.\nAnswer: n, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.5 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/4 - 915\/3660. Let r = -9896\/15 + 659. Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 3*a - 3. Let g(h) = -h**2 - 10*h - 10. Let m(n) = 11*n + 11. Let l(q) = -3*g(q) - 2*m(q). Suppose 12 + 12 = -3*o. Calculate o*k(j) - 3*l(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) + ((-450)\/12)\/(-15). Let v(a) = -415*a**g + 39*a**2 + 153*a**2. Let q(j) = -j**2. Calculate v(q(z)).\nAnswer: -223*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 59 = 3. Suppose 0 = -3*w - w - t. Which is smaller: -5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {l: 15, h: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3 - a**2 - 1476*a + 56125.\nAnswer: -6*a**2 - 2*a - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27037 + 27034. Put 0.2, v, -8, -65 in increasing order.\nAnswer: -65, -8, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/7)\/((-1)\/7). Let n = -2 + j. Solve 0*l + 0 - 7\/5*l**3 - 3\/5*l**5 - 2\/5*l**2 - 8\/5*l**n = 0 for l.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 0*g - 7*g + 9*g. Let c(o) = 325*o + 52. Let t(l) = -31*l - 5. Let d(s) = -5*c(s) - 52*t(s). Determine d(y(n)).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*i**4 - 4*i**3 - 241*i**2.\nAnswer: -240*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-5)*n**2*n**(-1\/17)\/n*n*n**11 assuming n is positive.\nAnswer: n**(322\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 - 44*m + 6. What is the remainder when 261 is divided by v(10)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4544410*k**3 + 1719305.\nAnswer: -13633230*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*k = -5*k + 16, -3*z + 3*k = -66. Let y = -21 + z. Suppose y = -15*o + 1791 + 3354. Does 55 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 - -7 - 1. Let x(d) = 7*d - 17. Let b(v) = -4*v + 9. Let w(n) = -5*b(n) - 3*x(n). What is the units digit of w(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -76?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 14*h - 90. Let v be z(19). Solve 0 = -v*r + 10 - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45514950 and 267735?\nAnswer: 45514950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 0*j - 45 + 40 + 3*j. List the prime factors of c(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16839141 is divided by 4644?\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 267\/3)\/(-1). What are the prime factors of m\/(-20)*5*-1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suwusswucuwuixu. What is prob of sequence wwi?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 734*u**2 - 2265*u**2 + 3*u + 766*u**2 + 774*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = 0. Let n be 1 + -4 + 3\/2*8. Let q(p) = p**3 - 7*p**2 - 20*p + 5. Let i be q(n). Put 5, t, i in ascending order.\nAnswer: i, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 133\/9 + 14\/(-18) + 1. Let y be (148\/(-5))\/(54\/d + -4). Suppose -2*b + y = -38. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262494619.\nAnswer: 262494619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 58, 0.1, 1\/8, -4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 21 + 110*f - 116*f + 13 + 12 + 9.\nAnswer: -6*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 38, 5, -3, -5, 32 in ascending order.\nAnswer: -5, -3, 3, 5, 32, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -957 = -56*o + 63*o - 36*o. What is the remainder when 5509 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -42. Suppose -12 = h + 3*a, 28*h - 25*h - 5*a = 76. Solve 4*v - z = -u, 0*v - v + 3*z - h = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82609830 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 13) + 2 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 5*h**4 + h**4)*(6 + 1 - 2).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88149, 88146, 88143, 88140?\nAnswer: 88137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {b: 2, x: 3, v: 1, y: 1, q: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33395 + 8?\nAnswer: 333a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 3*c - 5. Let a be i(-5). Let k(r) = 3 - r - 4 + 4 - a. Calculate k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 949 + 5453 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1208 or 1203?\nAnswer: 1208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29775 from 259.\nAnswer: -29516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -23*b**4\/4 + 3*b**2\/2 + 726*b - 347. What is the first derivative of d(o) wrt o?\nAnswer: -69*o**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -69*f**3 - 5*f + 5. Let h(n) = -208*n**3 - 16*n + 16. Suppose 2*z = 5*j - 86, 3*z - 7 = -j - 0*z. Calculate j*i(w) - 5*h(w).\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.14 - -53.14. Let c = r - 29. Let h = 22.973 - c. What is h rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/12)\/(5\/(-2)). Let m(x) = -x**2 + 2*x + 1. Let n be m(2). Let s = -334473 - -3679201\/11. Which is the second smallest value? (a) t (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - ((sqrt(1900) - (sqrt(1900) + sqrt(1900)*-1)) + 3)) + (sqrt(171)*-1*-5)**2.\nAnswer: 4272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*p + 6, -x = -4*p + 2 + 8. Suppose 1 = 2*c - 5. Solve 5*y - 2*b - 16 = p*b, b = c*y - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (1 + 23) - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.9 + -6.2. Let g = 2\/197 + 185\/1182. What is the second smallest value in c, -4\/3, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106.6 less than 416?\nAnswer: -690.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16588.\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 52. Is 2\/439 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.085, 2.1, 4, -3 in descending order.\nAnswer: 4, 2.1, 0.085, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6*a*a\/(a\/((a\/(a*a**(-16\/5)\/a*a*a))\/a)))**(2\/19) assuming a is positive.\nAnswer: a**(82\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 7:58 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 96, 110, 140, 192?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0945782 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 7*n - 56. Put n, 2\/5, -1, -0.5 in increasing order.\nAnswer: -1, -0.5, 2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.44 - -0.04. What is the smallest value in k, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/6, -3\/13, 2, 0.9?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 12970214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(2 - -2) + 79012. Suppose 5*m + 20 = 0, n + 0*n - 2*m = u. Round n to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 1, j: 1, x: 1, c: 1, r: 2}. Give prob of picking 1 x, 2 r, and 1 c.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/((d**(-6\/7)\/d*d)\/d)))\/d)\/d*d\/(d\/(d\/d**2)))\/((d*d**(3\/8))\/d*d**(-2)))\/(d*d\/d**(3\/2)*(d**6*d)\/d*d)**32 assuming d is positive.\nAnswer: d**(-13621\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 55*v - 330. Calculate the remainder when 399 is divided by a(48).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7 = 1. Solve -h = -0*h - p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*l + 109*l + 1490 = 21*l. Which is the nearest to 0.7? (a) l (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1824 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 813.999998694 - 814. What is o rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 8, 0, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10*3)\/(3\/(-6)*2). What is the greatest common factor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 1. Let x be i(-1). Let h be (-2)\/36*16\/x. Let v = 34.07 - 29.07. Which is the nearest to -1? (a) h (b) 1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.0055 weeks in microseconds?\nAnswer: 171766526400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.02412 or 415.29?\nAnswer: 415.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1995 is divided by 150.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 2*y. Let o be l(6). Let n = -34 - o. Let g = n - 36. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3393*n**3 + 3393*n**3 - 457*n**2 - 239*n**5 wrt n?\nAnswer: -14340*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5771163 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -108 + -21?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwewkwweewkeek. What is prob of sequence kw?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11214*a*u**6 - 3466*a*u**2 - a - 3 wrt u?\nAnswer: -1345680*a*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 4*r - 11. Let g be f(-5). Let v = g + -22. Let k = 1.6 - 0.6. What is the closest to k in 0.2, v, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5767.\nAnswer: 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 43 - (5 + (-2 - -6) + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4) - 12\/(-14)*931\/(-532). Put 3, b, 5, -582 in increasing order.\nAnswer: -582, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2845067 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ehheheyhhyhe.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -19.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/60 + z**4\/24 - 15*z**3\/2 + 8*z**2 - 42. Calculate v(0).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 4, -0.06, 5.7, 7\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (22 - (-12)\/(-4)). Which is the nearest to 1? (a) v (b) -2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + (-18)\/(-8). Suppose 0*t - l*t = -8. Find the second derivative of -2*f + 26*f**2 - t*f - 29*f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 4. Let b be g(-4). Let z be (-33)\/(3960\/112) + (-12)\/(-9). Solve 0 + 2\/5*t**b + 0*t + 0*t**2 - z*t**3 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 + 3*j - 1. Let q be w(-3). Let x = -13 - q. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111420 (base 5) to base 3.\nAnswer: -222220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203.505 - 7.945. Let i = z + 208. What is i rounded to one dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 15*k - 5. Suppose -k*i + 45 = -65. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (((sqrt(630) + (sqrt(630) - (sqrt(630)*2 + sqrt(630))) + sqrt(630))*-1)\/(sqrt(10) + (-2*sqrt(40)\/sqrt(4) - sqrt(10)))*6)**2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 6*s - 7. Let v(q) = -q + 5. Suppose -10 = -2*y, 3*n - 3*y + 11 = -4. Let f be v(n). What is k(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 14*a**2 - 25*a + 2. Let m be p(-12). Suppose -m*b - 172 = -2104. What is the remainder when b is divided by 141\/6*-2*-1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -468 - 1a7?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3, j: 1, o: 2, p: 3, k: 1, v: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 + 2*b + 2. Let u be i(-2). Let c(l) = 2*l**2 + 3*l - 3. Let d(t) = 10*t**2 + 14*t - 14. Suppose -5*a + 3 = -4*a. Give a*d(k) + u*c(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 713, 1434, 2155, 2876, 3597?\n\"Answer: 721*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309956529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.15. Let t = -0.35 - v. Which is the nearest to 0? (a) t (b) -0.1 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(2*6\/18*-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.01 + 5. Suppose -11*l + 32 = -3*l. Do l and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cff when three letters picked without replacement from {f: 4, c: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g + 15*g**2 - g**3 - 1 + 5 - 11*g + 4. Let n be b(14). Suppose -360 = -4*v - v. Calculate the highest common divisor of v and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37768435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3 - 59. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 36*p**2 - 210*p + 43. Is 19 a factor of k(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100050 + -67340. Round b to the nearest 100.\nAnswer: 32700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24455067?\nAnswer: 3, 7, 13, 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 - 1\/168*y**8 + 0*y**6 + 3*y**2 + 0*y**4 + 0*y**3 + 1\/60*y**5 + 0*y + 0*y**7. Find the third derivative of w(o) wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36209 + -429?\nAnswer: -36635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 64. Let i be z(21). Let u(q) = q - 13. Let f be u(17). Let c be (f + 168\/(-45))\/(12\/(-70)). Does i = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/13 - 22*r**4\/13 - 58*r**3\/13 + 62*r**2\/13 + 200*r\/13 + 8 = 0. What is r?\nAnswer: -2, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4816328410 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22120230103 + 2?\nAnswer: 22120230111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 - 57*t**2 - 12*t + 745. Determine j(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 90328719 and 0.9.\nAnswer: 90328719.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2)*(-28)\/42*-9)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21\/3*(-18)\/(63\/7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3\/5 - 20724*h**2\/5 - 41464*h\/5 = 0.\nAnswer: -2, 0, 5183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759606, 759602, 759598, 759594?\nAnswer: 759590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-107)\/(-2))\/(9\/162). Suppose -a = 14*g - 17*g. Factor -g + 16*k - 2*k**2 - 15*k**3 - 2*k**2 - k**3 + 325.\nAnswer: -4*(k - 1)*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-3))\/w*w)\/(w\/w**(-2\/3)))\/(w\/w**4)**43)**(3\/37) assuming w is positive.\nAnswer: w**(394\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2 - 30848*l + 118949888 = 0.\nAnswer: 7712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/15)\/u)**(-4\/21) assuming u is positive.\nAnswer: u**(64\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 82*t**2 - 8*t - 207*t**2.\nAnswer: -289*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Suppose c + c = u. Solve 2*l + 5*o - 1 = c, 0 = -0*l + 5*l - 2*o - 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 5 - 6 + 1.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 6*j**2 - j - 11. Let q(m) = -2*m**3 - 13*m**2 + 2*m + 22. Let y(d) = -5*a(d) - 3*q(d). Let o = 76 + -85. What is y(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 - 52*z**4 + 489*z**2 wrt z.\nAnswer: 60*z**2 - 1248*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*g - 18 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((-1)\/(-2) - (-54)\/60). Put g, 3, 4 in ascending order.\nAnswer: g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22048 is divided by 882.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 25)\/(2\/(-2)). Let i = m + -19. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 306 (b) 4 (c) -0.5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((1\/(-1))\/1)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 614.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2642677382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13443 from -0.091.\nAnswer: 13442.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 17*g + 21. What is p(6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16064175.96ns to weeks.\nAnswer: 0.0000000265611375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 102210331?\nAnswer: 102210321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 325*f**6 + 158*f**2 wrt f.\nAnswer: 39000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9 - 14\/3. Calculate the smallest common multiple of 4 and 63\/15 + 1\/i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/34 - 8*s**3\/17 + 36*s**2\/17 + 8. Suppose b(q) = 0. What is q?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -84, -28, 64, 192?\n\"Answer: 18*w**2 + 2*w - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4892481 is divided by 17227?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 10*p**4 - 3*p**2 + (2*p - 3*p**2 - 2*p)*(3*p**2 - 3*p**2 - p**2) - 3*p**4 - 2525*p**3 + 5 + 2525*p**3.\nAnswer: 10*p**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3518461 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 - 10516*x**2 - 30*x + 262 wrt x.\nAnswer: 40*x**3 - 21032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53297 or 53291?\nAnswer: 53291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640561?\nAnswer: 3, 7, 11, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uiiiiiiiiiiiiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/((sqrt(1600) + sqrt(16))\/sqrt(8)) - (sqrt(5) + (sqrt(160)\/sqrt(4) + sqrt(40))\/sqrt(8))*-4)**2.\nAnswer: 88445\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.66991 to two decimal places.\nAnswer: 8.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25223845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250118511 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1)\/((-1)\/38*-2). Let l = 35 + r. What is the units digit of 142 - (7 + -4)*(-1)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57, 123, 199, 279, 357, 427, 483?\n\"Answer: -z**3 + 11*z**2 + 40*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.168419 and 389376246?\nAnswer: 389376245.831581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 23*f**2 + 11*f + 15. Is m(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7920 and 4400.\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.67 + -0.97. Let m = 1537\/22 - 774\/11. What is the nearest to 0 in -1, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.538015 to 2 dps.\nAnswer: -4.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -44724 + 11304. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l + 30*l - 15*l**2 + 16*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**10*s**(5\/6) assuming s is positive.\nAnswer: s**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*-2*-5)\/sqrt(7))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose 11*q = 7*q + 12. Let s(t) = -q*t + 13 + 2*t - 13. Calculate s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*p**2 + 86*p**2 + 85*p**2 + 78*p**2 + 44*p**2 + 79*p**2 + 5*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q**3 - 2. Let i(l) = 441*l**3 + 81. What is -2*i(u) - 81*m(u)?\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 115178197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*t + 330, -4*f + 3*t + t + 660 = 0. Suppose -2*y + 2 = -6. Suppose -y*k + 1175 = -f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.114 + -13.114. Let d = b + 12.9999806. Round d to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 41 = z + 2*g, 5*z = -2*g + 136. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433140674 to the nearest integer?\nAnswer: 20812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.1. Let y = -28.2 - -26. Let z = y - t. What is the second smallest value in 2, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3550350260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-8) - (-1225)\/20 is divided by 24*-6*4\/(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + y - 13878 = 0. Round y to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 187*w**2 - w + 23. Is y(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -65*j**2 + 2470*j + 50. What is u(39)?\nAnswer: -2485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495495 + 217721 = 28*n. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 41\/3. Let h be (-16)\/6*9\/6. Let x = -11\/21 - -5\/14. Which is the third smallest value? (a) f (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -26, -55, -106, -185, -298, -451, -650?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899073005?\nAnswer: 5, 31, 127, 45673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10990 - 10307. What is the remainder when j is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-20)*(46 + -1). Let a be (0*3\/9)\/((-10)\/10). Sort -1, a, u in increasing order.\nAnswer: -1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/2899 + 11610\/20293. What is the closest to q in -1\/3, -2, 5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54\/207007 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4458174294 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2015 - -3533. Let t(n) = -1519*n + x*n + 9 + 19. Let b be t(12). What is the greatest common factor of 48 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -112, -351, -718, -1219, -1860?\nAnswer: -2647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 40 = -20 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 8:03 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477241 to the power of 1\/2, to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*w - 240000. Suppose 6*b + w = b. Round b to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {t: 4, q: 7, o: 6}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66749060.\nAnswer: 2, 5, 7, 59, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 2*c**2)*(6 - 1 - 4) + (-1 - 1 + 1)*(-1 + 1 - 5*c**2)*(2 - 1 + 0).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -239, -469, -713, -977, -1267, -1589?\n\"Answer: -c**3 - c**2 - 220*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143\/(-11) - ((-323)\/119 - (-2)\/(-7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**3 - a**2 - a. Let x be v(1). Calculate the remainder when 61 is divided by x\/(-18) - (-382)\/18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 + 3*n**2 + 44*n + 197. Give l(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1192 divided by -1192\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7198470281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**4\/12 + 5*o**3\/3 + 21*o**2\/2 + 2*o + 29. Calculate c(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 + 9\/(-54)*14. Calculate the remainder when ((-75)\/2)\/(u\/4) is divided by 2*-2 + (-210)\/(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4403 divided by 17.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 60*w - 66. Determine p(31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -3\/4, -2, -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -21*y**2 - 10*y - 1. Let n(k) = -k**2 + 2*k - 1. What is -f(m) - 5*n(m)?\nAnswer: 26*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-4)\/(-2) - -5. Suppose o + 4*f = 11 + 4, 0 = -5*o - 5*f + 30. Suppose -o*x = -3*u - 3, 5*x + 1 = 3*x + s*u. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129331824 divided by 4\nAnswer: -32332956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 12}. Give prob of sequence ppg.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**5\/30 + 23*f**4\/24 - 10*f**3\/3 - f**2\/3 + 40*f\/3 + 705. Determine a so that r(a) = 0.\nAnswer: -1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-16)*q**18)\/(q*q**(-19)*q*q**(-2\/19)) assuming q is positive.\nAnswer: q**(363\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*f + 413*f + 304 = 0 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w - 9880 = 131*w - 55*w for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**8\/1176 + 2*i**7\/735 - i**5\/105 + i**4\/84 + 3*i**2 + 6. Determine j so that b(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 48, -0.3?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44, -5, 32, 67, 100, 131?\n\"Answer: -u**2 + 42*u - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 + 7*j - 3. Let q(z) = z**2 + 7*z - 2. Let y(u) = 2*u**2 + 7*u - 2. Let v(n) = -3*q(n) + 4*y(n). Let d(f) = 4*k(f) - 5*v(f). What is d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 953*j + 105. Let g be x(5). Suppose 4*z - 294 = g. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060839 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -16, 78, -20 in increasing order.\nAnswer: -20, -16, 0, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -2*m. Let l(c) = 14*c**2 + 6. Let t be l(m). Round t to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y + 25*y - 16*y to p + j*y and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44418 is divided by 116.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4 + 7467*q**3 - 37428*q**2 - 44892*q = 0 for q.\nAnswer: -2494, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*t - 4*t = -22, 0 = -3*s - 5*t + 31. Solve 0 = -s*z - 2*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -39263, 4, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 24. Let x be (-224)\/l + (-30)\/50. Let q = x + 26. Solve -q*z + 3 - 6 = 2*s, 5*s + z + 14 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 - 47*q - 16. Let r be s(-11). Let j(h) = 6 - r + 10 - 2*h + 7 - 2. Give j(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-9)\/(-12) + (-27)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611 (base 11) in base 2?\nAnswer: -1011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233850 and 1875.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 - 4*a**2 + 10*a**3 + 5*a**2 - 26*a + 4 - 3 - 8*a**3 + a**2 in the form y + l*a**4 + h*a**3 + v*a + c*a**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2387 in -3, 2\/11, 0.3, -1\/3, 30, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857.8394 micrograms to kilograms.\nAnswer: 0.0000008578394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8485, 18864, 29203, 39484, 49689, 59800?\nAnswer: 69799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -48*t + 14732. List the prime factors of n(61).\nAnswer: 2, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.743 times 2\nAnswer: -13.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from krkrubcbbookkbbokr?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13215*s + 820 - 820 + 3561*s)*(0*s**2 - s**2 - 2*s**2).\nAnswer: 28962*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(147) + (1 + sqrt(147) + sqrt(147) + sqrt(147))*6 - 2*-2*sqrt(147)) + -5*(sqrt(147) + 1 + sqrt(147) + 3))**2.\nAnswer: -2548*sqrt(3) + 25036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let w(v) be the second derivative of v**3\/3 + v**2\/2 + 80*v. Let r(k) = 23*k + 2. Let a(z) = r(z) - 2*w(z). Calculate d(a(i)).\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 c when four letters picked without replacement from {c: 4, g: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = 3*a. Let b(s) = -a*s + s**2 + 0*s - 3*s. Is b(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9067 + 9067 - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899*g - 2808*g + 933*g + 980*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 5*b + 34. Suppose 0 = 4*k + 2*q + 474, 378 = -3*k + 53*q - 50*q. Let a be (-1)\/(-55) - b\/k. What is the second smallest value in a, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 2 - (-2)\/(-4). Let b = -0.31 - 18.69. Let v = b + 15. What is the nearest to -0.1 in -0.3, v, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:55 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/108 and 19\/1395.\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 78910\/11?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -18. Let n(k) = 5*k + 1. Let j be n(-5). What is the units digit of (g\/14)\/((-2)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927763 is divided by 3787.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 + t. Let f(v) = v + 5. Let o be f(-4). Let a = o - 0. Is y(a) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253225789.\nAnswer: 467, 2683567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -71879641741732 + 4?\nAnswer: -71879641741728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 2205, 5148, 9305, 14682, 21285?\nAnswer: 29120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 5*k**2 - k + 7. Suppose -6*z - 36 = -10*z. Let j(i) = 0 + 2*i - 4*i - z. Let u be j(-2). Determine q(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.1 or -0.39?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 - -112. Suppose -17*h = -20*h + j. Let t(n) = 5 + 3 - 4*n - 3 + n**2 + 0*n. Give t(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63442343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/7, -0.5, -1\/4, -39, 9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5247\/(-6)*48\/(-72))\/((-5)\/(-5)) is divided by 115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21258 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 4*o + 5 = 0, -o - 4 = 3*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2320 from 8.22480266.\nAnswer: -2311.77519734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 51 - d - 51)*(d - 2*d + 0*d).\nAnswer: 3*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/4 - (-1)\/4. What is the tens digit of 1\/f - (-225)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.012 + -19.012. What is the closest to 0 in -5, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*u + q, 8*u = 5*u + q - 1. Suppose 2*n + 2*n - 8 = 0. Solve u = -s + n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/2? (a) 1\/3 (b) 25 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmzznzgczztnm. Give prob of picking 1 g, 1 z, and 2 n.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -131, -116, -95, -74, -59, -56, -71, -110?\n\"Answer: -i**3 + 9*i**2 - 5*i - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/237604 and -52\/178203.\nAnswer: 712812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7548, 7552, 7558, 7566, 7576?\nAnswer: 7588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 10*l**2 - 10*l - 1. Let b be m(9). Let p be (-2)\/b*5\/6. Let g be (12\/9)\/((-14)\/6). What is the nearest to 0.1 in p, 0, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g - 15*g - 11*g + 209.\nAnswer: -g + 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p**2 + 10*p**2 - 47*p**2)*(-5 + 0 + 3)*(-1 - 4 + 0).\nAnswer: -250*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1179*w - 1183*w + 1108*w**2 + 3551*w - 208*w**2 - 1189*w.\nAnswer: 900*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2620 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-4))\/1*60\/30*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70995 + 70995 + 2*i**4 - i + 67*i**2 - 4*i**3 to the form u*i**2 + t*i + l*i**4 + r + w*i**3 and give u.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11581007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v = -794*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 3:48 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**8\/2016 - b**6\/240 + b**5\/180 + 86*b**2 - 13*b + 1. Let r(h) be the first derivative of i(h). Let r(g) = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/(-54)*3\/(-2). Let y be 18\/84*m - 43889997\/(-7). What is y rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25484*t + 8490*t + 8497*t + 8496*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1557, -1567, -1591, -1635, -1705, -1807, -1947, -2131?\n\"Answer: -x**3 - x**2 - 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*w**5\/3 + 400*w**4\/3 - 7886*w**3\/3 - 29740*w**2\/3 - 27688*w\/3 + 560\/3 = 0. Calculate w.\nAnswer: -5, -2, 2\/101, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*a - 14 = 5*s, -3*s = 4*a - 52. Calculate the remainder when 33 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + b + 1246*b**3 - 135*b**3 - 2*b**4 - 153*b**3 to f*b**3 + y*b**2 + r*b + l*b**4 + o and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159272 is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -6, -27, -68, -135, -234, -371, -552?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {a: 1, x: 1, o: 2, e: 1, f: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131172156 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 3*c - 2 - 3*c**2 + 3*c**3 + 2*c. Let o be r(3). Suppose 0 = m - 4, -2*x - 3*m - 4 = 2*x. Are x and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10365724546 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - -2*sqrt(1377) - ((5*sqrt(85) - sqrt(85))\/sqrt(5))**2.\nAnswer: -272 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 747, -58, 197 in ascending order.\nAnswer: -58, -5, -2, 197, 747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3966 and 17\/12?\nAnswer: 7932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + 968663118\nAnswer: 968663117.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/4 - o**3 - 3*o**2\/2 - 4. Let t be j(-2). Let f(r) = -3*r. Give f(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 12*q**2 - 10*q - 2. What is n(-12)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (0 + -3 + -4 + -4 + -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4904936055 to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -950309, -1900665, -2851021, -3801377, -4751733, -5702089?\n\"Answer: -950356*a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {r: 8, s: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 265\/(8 + -3 + -4). Suppose 7*k - 6*k = z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6774290 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -1 + 99 + -122?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7509.851mm?\nAnswer: 750.9851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 55\/3 of a week?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**3 + 3*o**2 + 3*o - 3. Let k(v) = 7*v**3 + 2*v**2 + 2*v - 2. Give -2*g(u) + 3*k(u).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwmmwxwzxmmzmmxz. Give prob of picking 1 m and 2 x.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czclhlclccdblldz. What is prob of sequence lclz?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.01956497 + 0.049655?\nAnswer: -45.96990997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0006 - -0.2006. Which is the third biggest value? (a) -3\/4 (b) 0.28 (c) 2\/3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1.2, -21\/2, 0.4, 0 in decreasing order.\nAnswer: 0.4, 0, -1.2, -2, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8284*p**3*u**3 - 327215736*p**3*u - 1681*p*u**4 wrt u.\nAnswer: 49704*p**3*u - 20172*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -100. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -481 + 492. Solve 4 + 51 = -s*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1 + -4*153\/(-6). Let f be 32\/(-112) - (-44)\/u. Solve -16\/15 + 8\/5*j - 4\/5*j**2 + f*j**3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, h: 2}. Give prob of picking 1 e and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-12)\/252)\/((-2)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12756895, 51027595, 114812095, 204110395, 318922495, 459248395, 625088095?\n\"Answer: 12756900*w**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*m - 125 = -46*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 * -7.32\nAnswer: -9.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 130536\/12728*(-56)\/(-18)\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -22, -525?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 5*h**2 + 4. Let u be f(4). Let i = 23 - u. Let x be 3*(-4)\/3 + -1. Sort -1, i, x in ascending order.\nAnswer: x, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*((((z*z**(1\/3)*z)\/z)\/z)\/z)\/z*z)\/z)\/z)**(10\/3)*z**(-1\/4)\/(z**(-6)*z))**1)**(-29) assuming z is positive.\nAnswer: z**(841\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3629 is divided by 181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12) + (-4)\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.21 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11790 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -560, -1113, -1666, -2219?\nAnswer: -2772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3 - 15*h - 13*h + 58*h - 6*h - 9*h. Determine b(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y - 3*y**5 - y + 5*y**5 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 570 (base 9) to base 5\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 16*d - 6. Let g be i(-16). What are the prime factors of (-104)\/g - 2\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = -4*r, 0 = 3*p + 2*r - 8. Suppose 0*l - 4*l = -p. Let o = 2.6 - 3. Do o and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 2, i: 3, b: 5, j: 1, m: 3}. Give prob of picking 1 k, 1 e, and 2 i.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6 - 3. Suppose y + k = 2*y. Let v = 7 + -12. What is the nearest to 0 in 0.2, v, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 60 - 5*v + v. Let n(x) = -426*x - 15. Let a(c) = -227*c - 8. Let f(t) = -15*a(t) + 8*n(t). Calculate f(b(p)).\nAnswer: 6*p - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 - 12*o + 8. Let h = 326 + -322. Let z(a) = 8*a**2 + 34*a - 22. Let g(q) = h*z(q) + 11*r(q). Calculate g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26281 + -11762. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 23*r - 518. Let z be p(37). Solve -5*l + 335 - 330 = z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35340?\nAnswer: 2, 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.1 - -1.1. Let f = -8 - r. Let w be -1*(-1)\/(-2)*4. Sort w, f, -2\/11 in ascending order.\nAnswer: f, w, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -603*v**2 + 302*v**2 - 168*v + 287*v**2 wrt v.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 10\/2) + -12. Let o = -13 - l. Differentiate -4*y + o - 2 - 1 + 5*y with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4c9bc (base 16) to base 9\nAnswer: 527383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z + 7. Let c(q) = -7*q + 6. Let a(b) = 6*c(b) - 5*t(b). Let p be a(-6). Solve 0 = 5*s - 33 + p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44215\/8 or 5527?\nAnswer: 5527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -15. Solve -4 + s = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -218 in increasing order.\nAnswer: -218, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77300 + 649380 = 16*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (143\/110)\/((-4)\/(-10)). Let i = -3 - -2.9. Let t = -2.08 + 0.08. Sort i, v, t.\nAnswer: t, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3338 and 598848883.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v**2 - 3*v**2 + 2*v**3 - 6*v**2 + (0 - 4 + 3)*(v - v + v**3) + 55 - 55 + 2*v**2 + 57*v**3 to f*v**2 + h + m*v + l*v**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/56 - (-103)\/7.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-80)\/45 + (-2)\/9. Let b = 2 - p. Suppose 3*s - 5 - 1 = 0. What is the remainder when b is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3407*u + 57252 = 213*u - 1577*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 7:59 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -2 (c) 0.5 (d) 145988\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0639147 - -2483.08\nAnswer: 2483.1439147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -379 - -253. Let x = b + 248. Suppose -176*u = -174*u - x. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0 = o - 13, m + 19 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13223 (base 4) in base 8?\nAnswer: -753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, 10, 37, 74?\n\"Answer: 5*q**2 + 2*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*-3 + 10\/((-10)\/(-3)). Let b(l) = 21*l**2 - 10*l - 96. Does 15 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = 12. Let r(q) be the third derivative of q**5\/60 + q**4\/12 - 7*q**3\/6 - 5*q**2. What are the prime factors of r(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from mmmmmmmmmmmmmmmmmim.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 3 (c) 436\/7 (d) 222 (e) 0.35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 4*n - 72*v + 137*v = 63*v + 94, 3*n - 3*v = -33 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 6*s - 6. Let m be r(4). Suppose -2*w + 0*v - m*v + 56 = 0, 4*w = 3*v + 98. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113 or -222?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/20880 and -5\/192357.\nAnswer: 15388560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5)*(-240)\/8. Suppose v + v = g. Let x(c) be the second derivative of -c**4\/12 + c**3 - 5*c**2\/2 - c. Give x(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 211?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/99)\/((220\/18810)\/((-39)\/(-247))).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = a + 8. Let k = 20 - a. Suppose -2*t = w - 26, -2*w = -k*t - 12 + 56. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/(-86))\/(6\/80*(-16)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 72*b - 83. Let h be m(-31). Is (234\/(-9))\/(h\/229 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v + 10. Let s be h(12). Suppose g + s = 6*g. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.766642l in millilitres?\nAnswer: 2766.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 14 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4 + 2 - 6 - 4 + 1 - 5 + 3 + (-2 - 2 + 2)*(2 + 2 - 2))*(3*k**4 + k**4 - 6*k**4).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 9*d**2 - 12*d + 20. Let g be l(10). Suppose -f + 187 = 3*x + 30, 0 = 2*f - x - 342. Let j = 164 - f. Sort g, 5, 7, j in descending order.\nAnswer: 7, 5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = -62*o - 54*o. Put o, 138, 3 in decreasing order.\nAnswer: 138, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2222 and 7474.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6512 + 26049\/4. Sort f, -15, -2 in decreasing order.\nAnswer: f, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, -1, 0 in increasing order.\nAnswer: -15, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -42181 at most -42182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -78 + (61 - 41 - -3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/(-6) + 1)*10*12. Let s be 12\/(4\/26 + o\/(-312)). Suppose -304 = s*i - 1216. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224 - (436 - 182) - (-1 - 5)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 26 - 6 - 41\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4822*d + 427214 - 80030 = 0 for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0 + 65*w - 63*w in the form c*w + u and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + 2*d)*(-3*d + 3*d + 2*d**2 + (-d - d + d)*(-5*d + d + 2*d) + 3 - 3 + d**2 - 12*d**2 - 4*d**2 + 3*d**2).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, 0.3, -10\/9, -1, -5\/77?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11091.4 and 2598.\nAnswer: -28815457.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 14*k**2 + 17*k - 26. Let i be l(15). Solve 11*t - i = 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23941, 22128, 20313, 18496, 16677?\nAnswer: 14856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13293*g - 13201*g = -10304 for g.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyryrryryyry. Give prob of sequence ry.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 4*w - 2*w)*(18*w**2 - 3*w**2 - 9*w**2) + w**2 - 80 - 2*w**3 + 3*w + 80.\nAnswer: -8*w**3 + w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*c + 361860 + 165180 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -253200 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 14, 0.04?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 23346.6 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -9. Let p(s) = s**2 + 6*s - 6. Let x be p(z). What is the common denominator of -48\/7 and (x\/10)\/((-3)\/3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10105148.\nAnswer: 2, 157, 16091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**3\/2 - 9*x**2 + 54*x - 24. Suppose n(w) = 0. What is w?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 0*i**2 + 12*i**2)*(-i**3 + 17*i**3 + 0*i**3)*(35 + 0 + 13).\nAnswer: 6912*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*n = -10 - 8, u + 4*n = 9. Let h be (13 - u) + 0\/2. Let x(f) = 0*f + 0*f + f - h. What is x(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26975049*n**2 + 1 + 26975019*n**2 - 53950068*n**2 + 16*n**3.\nAnswer: 16*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)*(-1)\/(-33). Let p = 7\/11 + x. Let q = -0.7 + 0.7. What is the nearest to q in p, 4\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 10. Let z be h(6). Solve 3*y = -u - 5, z*y + 10 = -u - u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) 0.03 (c) -76 (d) -204 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720*l**2 - 2 - 102*l**3 + 3 + 1254*l**2 - 220*l**3 - 524*l**2.\nAnswer: -322*l**3 + 10*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9457485?\nAnswer: 3, 5, 23, 79, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14793\/628 - 48\/157. Let z be (18\/(-7110))\/((-10)\/(-4)). Let o = 25639\/35550 - z. Calculate the common denominator of m and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/2)\/(7 + (-380)\/56) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlpvdfpdrvlp. Give prob of picking 1 p and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 7861*a**4\/24 + 845*a**3 + 407*a**2. What is the first derivative of d(f) wrt f?\nAnswer: 7861","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 4, 8\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 944228574 divided by -52457143\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39534075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 5*z + 89, 490*l + z + 12 = 485*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - (-4)\/(-4)*5. Calculate the common denominator of q\/(-6)*(-858)\/44 and -55\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-35100)*-39*(-6)\/(-10)*5\/(-2)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/(-30))\/((-5643)\/(-169290)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 + 132. What is the nearest to 7\/5 in -5\/4, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y. Let j(f) = 13*f**2 - 2*f. Determine j(a(g)).\nAnswer: 3328*g**2 + 32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 15. Suppose 5*g + 5*q = -x, -g + 2*q + 16 = 2*g. Solve -g*r + 12 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 9. Let v = 6 + -4. Let x = v + 4. Let l be j(x). Solve 2*k - 7*k + 30 = -5*f, -l*f + 12 = 3*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -110100100?\nAnswer: 110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12 + 7*d - 19 - 5. Let x(l) = l - 1. Let u(j) = i(j) - 4*x(j). What is the derivative of u(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20930435\/77 - 271829. Let j = r + 60\/11. Factor 0 - 1\/7*t - j*t**5 - 5\/7*t**2 - t**4 - 9\/7*t**3.\nAnswer: -t*(t + 1)**3*(2*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 49*k + 149. Determine x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + -11 + 10 - (7 + -14 - (0 - 2))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100011101100 (base 2) to base 12.\nAnswer: 8524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112100220012 - 2?\nAnswer: -112100220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50028496 by 155368.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 91.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/20 - 3*l**4\/4 + 17*l**3\/6 - 26*l**2 - 3282*l - 2. What is n(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -275 equal to -274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - i + 16 - 2, h = -3*i + 9. Let s be h\/((-201)\/51 - -4). Let f = s - 48. Solve -2*x = -5*o - 20, x + f*o + 1 = -0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*k - 1436 + 1436 as y*k + w and give y.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31511 - 31510.81611. What is x rounded to three decimal places?\nAnswer: 0.184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12347*u**2 + u + 8683306 wrt u?\nAnswer: 24694*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 + w - 1. Let z(h) = 6*h**3 - 7*h**2 + h + 1. Let a(k) = 5*u(k) - z(k). Calculate a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169*0.1\nAnswer: 16.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 46614.9?\nAnswer: 55937.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n*n**(-23)*n)\/n*n*n*n*n**24 assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/6766 + 115127\/236810. What is the common denominator of ((-14)\/25)\/((-4)\/7) and i?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 less than or equal to 9407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s**2 + 2 - 2*s + 21*s**2 + s in the form h*s + d + t*s**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1) + -794 + -21 + 32. Which is greater: n or -782?\nAnswer: -782","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -23*t + 157. Let s be y(6). Let g(h) = -h**3 + 21*h**2 - 37*h - 14. Calculate g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.036234 - 6.1361.\nAnswer: -6.172334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-90)*3\/(-1). What is the nearest to -2\/13 in -0.5, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*w - 1 - 2*w + (4 + 1 - 6)*(-5*w + 3*w + 3*w) - 2*w - w + w.\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1597*z + 565*z - 2169*z - 4106*z**2 in the form r*z**2 + l*z + x and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63833352637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2766, -5584, -8450, -11364?\nAnswer: -14326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 14 = c. Suppose c = t + 4, 3*t = 2*w - 0*w - 18. Solve -2*n - w*f + 7 = 14, f = 3*n - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9004, 18016, 27042, 36088, 45160, 54264, 63406?\nAnswer: 72592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 8 = 6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 774, 782, 814, 882, 998, 1174, 1422, 1754?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*a - 30, -2*y - 14 + 19 = -3*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -458, -0.4, -5, -3, -1\/8?\nAnswer: -458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 1086 - 1100 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -259, -1, 11 in ascending order.\nAnswer: -259, -1, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 68, 101, 134, 167, 200?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/23 or 2?\nAnswer: 42\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 - 438*j - 131. Calculate n(63).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 - w - 2. Let p(j) = 6*j - 3. Let o be p(0). What are the prime factors of a(o)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0380711 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/12*24\/(-32)*56\/105?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 95\/9281439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/93 - 2143\/186. Are g and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let y(o) = -23061*o - 6. Determine n(y(z)).\nAnswer: 46122*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 4986 = -6054. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 11*v**2 - 11*v - 9. Let k = -5 - -17. Suppose -k = -4*a + 12. Calculate the least common multiple of z(-10) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {a: 4, c: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -554 (c) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5215693\/180 + -28976. Let t = s + 3\/20. Let k be 2\/6 - (-4)\/6. Which is bigger: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 36, -4 in increasing order.\nAnswer: -4, 3, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i + 137. Let s be o(-16). Let w(p) = -14*p. Let z(n) = -7*n. Let m(t) = s*z(t) + 4*w(t). Let d(f) = -27*f. Determine m(d(q)).\nAnswer: 189*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.795 + 7.995. What is the third smallest value in -6, 5\/19, y?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162292 by 1867.\nAnswer: -162292\/1867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 20*a**2 - 7*a + 81. Let l be f(-20). Calculate the highest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19065*p**6 - p**2 + 2*p - 768?\nAnswer: 2287800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4170 and 2130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6602726 is divided by 747.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, -0.47, 3, 16, 4?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + sqrt(13) + sqrt(13))**2 + -1*sqrt(39)\/sqrt(3).\nAnswer: -sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Let j = -38364.1 + 38364.6. Let r = 0 - 2. Put j, n, r, 3\/7 in ascending order.\nAnswer: r, 3\/7, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 0.04, -13, -3, 0.1, -1\/4 in decreasing order.\nAnswer: 5\/2, 0.1, 0.04, -1\/4, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 56?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2820*b + 7*k + 51 = 2822*b, 2*k = 3*b - 34 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46297361 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -64, -66, -58, -34, 12?\n\"Answer: k**3 - 4*k**2 - k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*324\/(-288).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.41 - -0.36. Let h = 16918682.0499903 + -16918681. Let x = h + g. Round x to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 981532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -282719*k**4 - 2*k**3 - 97887*k**2 + 11 wrt k?\nAnswer: -6785256*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((-420)\/45)*10*18\/(-1485).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -3*w**4\/16 + 3*w**2\/8 - 14. Factor q(a).\nAnswer: -3*a*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:48 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3860*q - 35. Determine o(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22882\/9 or 2543?\nAnswer: 22882\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 3*n = -140. Let m(b) = 26*b + 20. Let v be m(n). Suppose -3*a + v = a. Is a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*u - 4 = 0, 51*u = -5*v + 55*u + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 578*n = -580*n - 268847986, 3*y = -4*n - 268847972. What is y rounded to the nearest one hundred thousand?\nAnswer: -89600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g**2 + 41*g - 5. Let v be b(5). Suppose v*f + 3*z - 15 = -4*f, -f = -3*z + 15. Solve f = 5*h - 2 + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4409*b**2 - 496*b**3 - 1469*b**2 + 476*b**3 - 1465*b**2 - 1475*b**2.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70439, -281729, -633879, -1126889, -1760759, -2535489?\nAnswer: -3451079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -9, 299.\nAnswer: -9, -2, -1, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23382357, 0.04, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 113608368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137939 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/((-25)\/(-30)))\/(0 - 2). Let g(n) = n**3 + 4*n**2 + 2*n + 1. Give g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -836 divided by 209\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374, -737, -1116, -1517, -1946, -2409?\nAnswer: -2912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169215 is divided by 42295.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 44 - 9. Solve 0 = -c - d + 2*d - 8, -19 = j*c + 2*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/(2\/40). Solve 3*o = -1 - w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (-4 - -10) + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 2685*q**3 + 2681*q**3 - 6*q + 53*q**4 - q**2 to g*q**4 + a*q**2 + w + j*q**3 + b*q and give g.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from mmj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -119 + (7 - 11 - -11). Are -113 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - l. Let y be m(2). Factor 0 + 2\/13*g**y + 0*g - 2\/13*g**3.\nAnswer: -2*g**2*(g - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 55. Suppose 2*s - z*h = 4*s - 39, -39 = -3*s - h. Suppose -s = -2*k - 3*j, 0 = 2*k + j - 11 + 3. Solve k*y + 3*d + 8 = -1, -4*d - 24 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/15)\/(61\/(31110\/(-204)))?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3\/4, 3\/2, -1\/5, -2\/9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*y - 76*y + 4 - 4 + 110*y - 80*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23, -28, -45, -80, -139, -228?\n\"Answer: -g**3 + 2*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -1 + (-13)\/(-52)*-28. Let z be 1\/((-18)\/(-10 - u)). What is the third biggest value in -3, 16, -0.6, z?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*u**5 + 222978*u**3 + 1121285*u**2 wrt u.\nAnswer: -300*u**2 + 1337868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**5\/60 - q**4\/4 + 4*q**3\/3 + 11*q**2. Let n be m(-7). Put n, 3, -4 in descending order.\nAnswer: 3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/37 in -0.01, 1\/6, 5, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 2)\/(-1)*-131. Let q = w - -1439\/11. Let k = 0.2 + -0.5. Sort -0.5, k, q.\nAnswer: -0.5, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 16*h**2 - 3*h - 22. Let i be s(-8). Solve m = i - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391464174 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-6))\/(4\/(-6)). Let s be (-4)\/(-6) - i\/3. Suppose 3*x - 7*x + 40 = s. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, 713, 2775, 6795, 13427, 23325?\nAnswer: 37143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 0*y - 4*y - 5 - 36. Let w be p(-11). Solve 3*b = 2*b + w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113609, 120392, 127177, 133964, 140753, 147544, 154337?\nAnswer: 161132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12716 and 12716?\nAnswer: 12716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18332*t**2 + 9098*t**2 + 9097*t**2.\nAnswer: -137*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 399376, 399359, 399340, 399319, 399296, 399271, 399244?\n\"Answer: -l**2 - 14*l + 399391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Suppose 12 = -4*k - i*f, -f = -k - 5*f - 12. Suppose k = 9*p - 7*p - 152. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5 - 70*w**4 - 365*w**3 - 860*w**2 - 880*w - 320 = 0. Calculate w.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from auuaaaaaaaaaaua.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/120 and 42.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-7 - (6 + -12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62078\/8351 - -6\/1193. Calculate the common denominator of (-3)\/(-2)*(-1026)\/(-243) and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, g: 6, d: 3, m: 1, s: 2}. What is prob of sequence ssdm?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40632 by 13544.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -38*n**2 - 7*n - 7. Let f(m) = 19*m**2 + 3*m + 3. What is 7*f(q) + 3*p(q)?\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/114 and -83\/38586?\nAnswer: 733134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3687869 or -3687864?\nAnswer: -3687864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-1)\/(-6))\/(2\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 - 5.5. Let q = 679 + -685.94. Let y = q + -0.06. Sort y, 0.3, j.\nAnswer: y, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232c (base 15) to base 5.\nAnswer: -214332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)**38*z*z**0*z\/z**(2\/13))**(-18) assuming z is positive.\nAnswer: z**(8460\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2865 = 4*k - 3285. Solve 7 = 28*b - k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97423518 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -0.2, -8, 0.9, 13, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2252.521 - -2267.5. Let j = 15.34 - 0.34. Let d = j - u. Round d to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/8)*w*((w\/(w**(-4)*w))\/w)\/w)**(10\/7)*((w**2\/w)\/(w\/w**(-5)))\/(w**(2\/7)*w**(1\/3)) assuming w is positive.\nAnswer: w**(-127\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/12 + -1 - ((2 - 5) + -4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -920.3281321 rounded to the nearest integer?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21213 (base 4) to base 16.\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -71*v + 707. Determine z(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -l - 0 - 3, -2*l = -m + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -157*k**2 - 751*k - 519. Determine f(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*q - 14. Suppose -2*t + 38 = -2*r - r, -q*r = -4*t + 92. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1782 and 26001?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 12*v - 90 = -2*r, r - 15 = -v. Put -2, 4, -5, v in decreasing order.\nAnswer: v, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -213*(-2)\/6 + -2. Does 15 divide 6\/12*(1 + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 39, -264, -23 in decreasing order.\nAnswer: 39, -23, -53, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2761*m - 115514 = 11492 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -842, -8, -16, -23, -3 in decreasing order.\nAnswer: -3, -8, -16, -23, -842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0 + 3*u + 0*u**2 - 1\/6*u**3 + 1\/6*u**4. What is s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4816564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + (2 - (-17 - -3 - -4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/5257?\nAnswer: 1\/5257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 4:32 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-1 + 91\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -18 in descending order.\nAnswer: 5, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.233 - 0.133. What is the closest to 1 in p, 4\/7, 0.49?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38\/35 - 79\/105. Sort 26, s, 11 in decreasing order.\nAnswer: 26, 11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1, -2\/11, 25082, -1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0 (c) 0.058 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1.6\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 19*x**2 - 4*x + 76. Let n be h(19). Suppose -2*w - w - 3*p + 9 = n, -2*w + 4*p = 12. Solve 2*t + 16 = -2*c, 2*c + 0*t - t + 7 = w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 74 - 26106?\nAnswer: -26012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 - 3*l**4 + 5*l**4 + (l**2 - l**2 - 2*l**3)*(-48*l + 17*l + 14*l) in the form x*l**3 + v + c*l + i*l**2 + d*l**4 and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509842 is divided by 31864.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 + 12*q - 18. Does 10 divide c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0181653 to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*h - 62*h + 4*h - 56*h + 52*h to the form g*h + j and give g.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from ijatiiaddd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1853799, 0 in decreasing order.\nAnswer: 1853799, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 11*a**2 + 4*a - 62. Determine q(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 255212429 to the nearest one hundred thousand.\nAnswer: 255200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z**3 + 196*z - 99*z - 98*z. Let p be ((-18)\/15)\/(9\/(-30)). Suppose -p*s = -2*s. What is r(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**3 - 15*h**2 - 14*h. Let j be v(10). Let b = j - -128. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*z + 25*z - 14*z)*(z**2 - 4*z**2 + z**2).\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*l - 4. Let m(y) = -y**2 - 5*y + 4. Let h be m(-5). Suppose 2*v + 4 = 0, -u - v - h = -3. Is l less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 1. Let y be s(3). Suppose -y*h + 1060000 = -4*h. What is h rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 21*v**2 + 2*v. Let f be w(2). Suppose 4 = 4*s, 53 - 10 = 2*i - s. Calculate the greatest common divisor of i and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1 + sqrt(204))*3 + -6*2*sqrt(204))\/((sqrt(768) - (sqrt(768) - 1*sqrt(768)))*-6 - sqrt(768)).\nAnswer: 3*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f - 5. Let s(u) = 9*u - 14 + 6*u + 2*u - 6*u. What is -17*j(z) + 6*s(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000103786241 to six dps.\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 63270912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = -2. Suppose -2*x + 9 + g = 0. Which is the biggest value? (a) -0.4 (b) x (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 106207*n + 93419 wrt n?\nAnswer: 106207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 + 4504*k - 224502 = 0. What is k?\nAnswer: 51, 2201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r + 8. Let k(a) = -a**3 + a + 9. Let g(j) = 5*k(j) - 6*m(j). What are the prime factors of g(5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let k(v) = 34*v - 3. Calculate k(n(t)).\nAnswer: -68*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189923 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 9*f**2 - 9*f + 1. Let x be n(-8). Suppose 0 = -122*i + 118*i. Solve i = -4*q - x - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfnil. What is prob of picking 1 f and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5826151 and 6249.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, w: 1, m: 7, h: 6}. What is prob of sequence hwa?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*v**2 + 26513*v - 292309?\nAnswer: 12*v + 26513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s + 29*s - 52*s + 11001*s**2.\nAnswer: 11001*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62 - 226*v - 222*v + 445*v)*(2 - 3 + 0) + (15 - 7 + 19)*(-v + 0*v - v) to the form k*v + b and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10*c = 13*c + 27, 15 = 5*z + c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 108034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.16 - 0.16. Let w = u + 2. Let h be (2\/8)\/((-20)\/(-16)). What is the closest to -1 in 3\/4, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -105*o - 685. Determine w(-7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**4\/4 + 2*k**3 - k**2 + 3*k - 5. Let a = 9 + -15. Is h(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 + 8*c**2 + 3*c - 12*c**2 + 6*c - 9*c**3 as u*c + h*c**2 + b + q*c**3 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/9)*b*b*b)**(-50)\/(b\/((b\/b**(-1\/5)*b)\/b)*b*b**(-4\/9))*(b**(2\/3))**(-39)*((b*b**(-5)\/b*b)\/b)\/(b\/b**0) assuming b is positive.\nAnswer: b**(-9956\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqqqqklllvlqklxkl. Give prob of sequence xqx.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 217026323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7941*v**4*y + 1089*v**3*y**2 - 4*v**2*y**2 + 57*v**2*y - 419*v*y**2 wrt v?\nAnswer: -190584*v*y + 6534*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260552 is divided by 12407.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183467360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 - 15*q**2 + 13*q + 112. Is l(-12) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v + 4*t = 22, -5*v = t - 110. Suppose 650 + 43 = 21*m. Suppose 11*y - m - 33 = 0. Calculate the remainder when v is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/196)\/((-69)\/644)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(1 + sqrt(931) + -2) - ((sqrt(931) - 6*1*sqrt(931)) + sqrt(931) + (sqrt(931) - (2 + -3 + sqrt(931)))))**2.\nAnswer: -504*sqrt(19) + 33552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16826 and 1790?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9896345, -39585322, -89066951, -158341232, -247408165?\nAnswer: -356267750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((74\/296)\/((-5)\/(-16)))\/(-6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324446 + 17*l - 22*l - l**3 + 324446.\nAnswer: -l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45108, 180461, 406048, 721869, 1127924?\n\"Answer: 45117*h**2 + 2*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 394*r. Let j(h) = 3131*h. Determine a(j(m)).\nAnswer: 1233614*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115350664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiii when four letters picked without replacement from iiiiiieiee?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -97*l + 5. Is w(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 10. Let n be w(0). Suppose -j = 2*g - 15, -g + 3*j = g - 11. Let o = -213 - -215. Solve o*i - n = g*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 261. Let o = 245 + x. What is the least common multiple of 4 and o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 1, i: 11}. What is prob of picking 3 i?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**4 - 3716*v**3 - 141908*v**2 + 294980*v - 149352 = 0.\nAnswer: -889, -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -33. What is the closest to m in -2\/9, 1\/8, 2\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.10903 - 6.10903. Which is the fifth biggest value? (a) -3 (b) 3\/7 (c) i (d) -48 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6149112?\nAnswer: 2, 3, 173, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 388*r**2. Let o be l(5). Round o to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 11*t**2 - 8*t + 14. Let f be p(-10). Let r be 13\/5 + f\/(-15). Solve -5*a**2 + r - 3 + 3*a**2 + 2*a**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869028.\nAnswer: 2, 3, 139, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnccnnnnnccncnnnnnn. Give prob of picking 1 c and 3 n.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 9*x + 5. Suppose 0 = 13*c - 14*c + 9. What is a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 1134 = 5*p, -5 = 5*p. What is h rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321976.9l in millilitres?\nAnswer: 321976900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -25*4\/(-10)*-1. What is the units digit of 14*(f\/(-4) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563*x - 594*x - 5*b = 92, -2*x = -2*b - 80 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493731 and 2142?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 207.00199 - 207. What is x rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 1. Let u be c(1). Let a(i) = -i**2 + 5. Let p be a(u). Suppose -5*z = 2*w + 4, 0 = -p*w + 4*z + 29 - 6. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59147.25 centuries to months.\nAnswer: 70976700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9406160 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/2 + 80*m**3 + 3539*m**2\/2 - 91574*m - 93264 = 0. Calculate m.\nAnswer: -116, -67, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**2 + 23574*s + 9428.\nAnswer: 2*(s + 2357)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**5\/60 - 103*l**4\/24 + 6*l**3 - 7*l. Let r(k) be the second derivative of d(k). Let x(f) = f**2. Give x(r(m)).\nAnswer: 4*m**2 + 412*m + 10609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {w: 1, l: 3, f: 1, g: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8 - -13) + -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 6, 329, -0.3, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - ((-40872)\/6 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 e when three letters picked without replacement from ffeeefrieif.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 21. Let r(h) = -8*h. What is t(r(a))?\nAnswer: -16*a + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6206 and 163038.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 259 = -243. List the prime factors of r.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*m - 821*m + 388*m = 1638 for m.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -q - 3, 5*z + 12 + 3 = -q. Let n be (2 + 36\/(-15))*q. Suppose -5*y - 2*m + 7 = -17, 0 = -n*y - 2*m + 12. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7600*z**3 - 317023 + 2087*z**3 - 9*z + 316959 wrt z?\nAnswer: -33078*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -79*k**5\/5 + k**4\/4 - 2*k**3 - 4475*k**2\/2 + 3175. Find the second derivative of d(v) wrt v.\nAnswer: -948*v**2 + 6*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 8 = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 641*i**3 - 640*i**3 - 9*i + 109*i + (1 - 1 - i)*(3*i**2 + 1 - 1) - 4*i**3 + 5*i**3 + 6*i**3.\nAnswer: 5*i**3 + 100*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -57651*u - 4266168. Determine b(-74).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5275182 is divided by 16033.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4774222559 from 244.\nAnswer: -4774222315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1860*q. Let z(w) = -32*w**2. Calculate z(u(f)).\nAnswer: -110707200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z - 32*z + 16*z.\nAnswer: -47*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (206\/4017)\/(45\/((-135)\/4)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (4548\/42 + 2\/(-7)). Suppose 4*m + 0*m + 440 = 0. Let g = t - m. Let d(h) = -h + 8. Determine d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 2*a - 9. Suppose 0 = 102*z - 99*z - 75. Suppose -z*c - 92 = 33. What is n(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 s, and 1 q when four letters picked without replacement from {t: 6, q: 2, c: 4, s: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**3 + 7*a. Let g be f(-5). Let d = g - -39. Is 2\/(-7) - d\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 407*w - 1110*w - 164*w - 345*w**2 + 349*w.\nAnswer: -3*w*(w + 4)*(w + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*v = -7*f + 58, -2*v + 4 = 0. Suppose 0 = -3*q, -4*g + 68 = -87*q + 89*q. Calculate the highest common divisor of f and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -1b9?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Let b(c) = -3*c + 3*c - u*c. Let l(k) = -k - 1. Let r(g) = g**2 + 6*g + 4. Let y be r(-5). Give y*l(v) + b(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -78.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 1\/3*u**4 + u**3 + 0*u - 1\/30*u**6 + 7\/60*u**5 + 3*u**2 + 0. Let x(j) = j**3 - j**2 - j - 1. Determine -p(a) - 6*x(a).\nAnswer: -2*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 25, 71, 157, 295, 497?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 6:55 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, 60 in decreasing order.\nAnswer: 60, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r + 113 = 0. What is the remainder when r is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 + t**2 - 6*t**2 + 9*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153542758.\nAnswer: 2, 1223, 62773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/13)*x**(-13))**(-2\/101)*(x*(x\/((x*x**(-4\/9))\/x))\/x*x*x**(3\/4))\/((x\/(x\/(x*x*x*x\/(x\/x**(3\/2)))))\/(x\/x**2)) assuming x is positive.\nAnswer: x**(-97675\/47268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*o - 626, -o + 6*o = 4*f + 893. Let z = -133 - f. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177661240?\nAnswer: 2, 5, 4441531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 10*p**2 + 8*p**2 + 2*p + 19*p**2)*(-4*p + 2*p + 0*p).\nAnswer: -34*p**3 - 4*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 2, -8 in decreasing order.\nAnswer: 2, -2\/13, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -138\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 171b3?\nAnswer: -171ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-482)\/(-12) - (-1)\/(-6). Let j be 1670\/y + 1\/4. Suppose 14*d + j = 16*d. Solve 5*n + d = 3*l, 5*l = 3*n + 8 + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -560.715?\nAnswer: -555.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-4)*-3*(-16)\/(-72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3ab + -220?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30773 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -5, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) -0.1 (c) 1 (d) 0.5 (e) -5 (f) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -148?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 3:12 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3736104345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 32*t + 64. Calculate o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*h + 16 = 0, -8*y + 3*h + 18 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 1:13 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*23\/(-46))\/(4\/20).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + b)*(2*b - 3*b + 3*b) - 29*b**2 + 141*b**2 - 49*b**2 + (5*b - 4*b - 3*b)*(5*b + 6 - 6) - b**2 + b**2 + b**2.\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + 7*x)*(2*x + 4*x - 4*x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13727 is divided by 1371.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*o + 16 = 577*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**3\/3 - 2399*a**2\/2 - 4789. Factor u(j).\nAnswer: -j*(j + 2399)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 690982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57897658 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -59?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2064, -4132, -6200, -8268?\nAnswer: -10336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -2, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2. Let b(u) = -5148268*u. What is d(b(s))?\nAnswer: -106018653599296*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 6*u + 1. What is z(-5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 3*o + 1. Let u be (-54)\/(-13) + (-32)\/208. Give p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2. Let h be (-60)\/(-27) - (-4)\/(-18). Suppose h*a = -3*v + 5, 3*a + 0*a - 13 = v. Let l(y) = -a + 4 + 2*y. What is w(l(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 113749801665000?\nAnswer: 113749801664999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5486 + -0.0486. Which is the third smallest value? (a) 4 (b) -5 (c) w (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(210)\/sqrt(7))*4 - (sqrt(30) - sqrt(300)\/(sqrt(360) + sqrt(10))))\/(-2*-2*sqrt(216) + (1*sqrt(216) - sqrt(216))*-4).\nAnswer: 25*sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/120 + 7*i**5\/60 + i**4\/6 - 7*i**3\/6 - 5*i**2. Let l(j) = -3*j - 6. Let k be l(-4). Does 11 divide h(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6645 and 0.27.\nAnswer: 6645.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-222)\/(-7) - 16\/(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 9. Let o(x) = 1. Let q(l) = -4. Let k(y) = -2*o(y) - q(y). What is 9*k(r) + 2*t(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34 - (-18468)\/418) + (-9)\/(-11) + -1. Calculate the greatest common divisor of 16 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41702536?\nAnswer: 2, 47, 197, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-192))\/(15\/(-20)). Which is the closest to u? (a) -4 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, 1, 0.1, -5, 0.\nAnswer: -227, -5, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 41991\/6 + 1\/(-2)*-3. What is v rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 107543, 107565, 107603, 107657, 107727, 107813?\n\"Answer: 8*w**2 - 2*w + 107537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(567)*-3*4.\nAnswer: -540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.104 + 0.504. Which is the third smallest value? (a) 3\/2 (b) v (c) -2 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2185 is divided by 121.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 2193022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-6)\/(-6165))\/((-2758)\/13790)?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-1 - -2)) + 0. Let q be (-2)\/((-4)\/(-2 - x)). Which is the third smallest value? (a) q (b) -6\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 - 171 = -33*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 9*f = 1023. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2100\/150)\/((42\/9)\/(-7)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (153544 - -2) - 0. Suppose s = 4*i + 3*a, 2*a + 2*a + 38377 = i. Suppose -i = -3*y + 84615. Round y to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = -2*i, 0*i = 2*i + 4*z + 20. Suppose f + 4*b + 8 = i, -f + 24 = f - 2*b. What is the remainder when 29 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699*h + 276*h + 233*h + 241*h.\nAnswer: 51*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 18 = -6*y + y, 3*u = 3*y - 18. Let q(s) = -6 - y + 3 - 1 - 25*s. Is q(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-168)\/(-135)*4\/7. Let s = 10\/9 - m. Suppose 0*y + s - 2\/5*y**2 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a\/((a*a**(-2\/31)*a)\/a)*a*a)\/a)\/(a\/(((a**(4\/5)*a)\/a)\/a)*a*a*a))\/(((a*a*a*a**7)\/a*a)\/a)**(-5\/4) assuming a is positive.\nAnswer: a**(6271\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18698960 and 5600.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10988899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j**4 + 7*j - j + j**2 - 10*j**4 - 3*j**3 to the form c*j**4 + s*j + a*j**2 + o + x*j**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {g: 7, k: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvnn when four letters picked without replacement from cnnccnvn.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) 5 (c) 3\/10 (d) 104\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - -3. Suppose -5*t + x + 2 = 0. Let l(j) = 3*j - 8. Let z be l(6). What is the greatest common factor of z and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -66. Let d be 2\/((-24)\/(-3)) + (-22)\/q. Which is the third biggest value? (a) d (b) -3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 + 8*z. Let b(m) be the second derivative of -m**4\/6 + m**3\/2 + 6*m. Give 8*b(d) - 3*h(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9187354 and 25418.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/5 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 d, and 1 s when four letters picked without replacement from sddsddadssssaddszdds.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6740 is divided by 1634.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(36\/336) - 9\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**2 - 2143 + 714 + 716 + 713 - i**3 - 5*i.\nAnswer: -i*(i - 5)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -23\/13, 36\/1535?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 6*b - 5. Let r be o(5). Suppose -4*c + 4072 = -4*n, 3*c - 5*c - n + 2024 = r. Let y = -607 + c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69.02 or 7?\nAnswer: -69.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 + 45*i**2 + 8*i**2 + 57*i**2 + i + i**2 as t + x*i**2 + w*i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -86*z**4 + 2*z**3 - 2*z**2 + 69*z. Let q(o) = -o**3 + o**2. Let m(y) = -f(y) - 2*q(y). What is the second derivative of m(a) wrt a?\nAnswer: 1032*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/182 - 2508\/312\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 825187*j. Let v(k) = 2*k**2. Determine o(v(m)).\nAnswer: 1650374*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.920227 to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 - -188. Solve -7*c = -l*c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by 458?\nAnswer: -170\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r = -58*r - 65*r + 4482. Let o = 5 + -10. Let t be 18\/o*(0 - 5). Calculate the highest common divisor of t and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:39 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b + 0*b - 42 + 4*b**2 - 7*b**2 + 7*b to v*b + z + l*b**2 and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17498428, -34996857, -52495286?\nAnswer: -69993715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (23 - 22) + (-1 - 68 - (0 - 2))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5310 (base 8) to base 2.\nAnswer: -101011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.038 and -116.\nAnswer: 4.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3020b (base 12) in base 5?\nAnswer: -4000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0128124291 rounded to five decimal places?\nAnswer: 0.01281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(2\/9)*x))**(-16) assuming x is positive.\nAnswer: x**(320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(400)*1 - sqrt(400) - sqrt(400)) + 1)**2.\nAnswer: -sqrt(7)\/5 + 107\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1117 - -10051\/9. Are f and -17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54392483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 16*a + 6 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 1. Let t be y(-5). Suppose 3*l + 4 - t = 0. Sort l, 5, 0 in decreasing order.\nAnswer: 5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c - 4. Let b = 7 - c. Solve 3 = b*m + 2*k - 16, k - 27 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1 + sqrt(931))**2 - (-3 + 2 + sqrt(19))**2 - ((sqrt(190) - 1*(-1*sqrt(190) - sqrt(190) - sqrt(190)))\/(-4*sqrt(10)*1))**2).\nAnswer: 16*sqrt(19) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21338 - -17817232\/835. Is 0 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = -4*i, 0 = -3*k + i + 1468. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10043 - -104106?\nAnswer: 114152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuvvffvuuufvvfvfv. Give prob of sequence uuvu.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 147*y + 1486. Give h(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-7)*-1 + (-2)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + -1 - (12 + 0 - (18 + -35 + 18))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 + 1 + 1)*(1796 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/144 and -131\/126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**9)\/((i*i\/i**7*i*i)\/i))**(-1\/37) assuming i is positive.\nAnswer: i**(4\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2263 - 2070. Is q >= 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 428963?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 91, 8\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -792668, 5, -5 in decreasing order.\nAnswer: 5, -5, -792668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 20*x**5\/9 + 46*x**4\/3 + 34*x**3\/3 - 40*x**2\/9 - 8*x\/3 = 0.\nAnswer: -6, -1, -2\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3*u**2*w - 4*n**3*u*w**2 - n**2*w**3 - 60*n*u**2*w**3 + 48*n*u*w**2 wrt u.\nAnswer: 8*n**3*w - 120*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 21*c - 23*c + 22, -2*c + 94 = 3*l. What is the smallest common multiple of l and 438?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -34 + 39 + (-2 - 1). Solve 181 - 183 = -c*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 20 - 9)*(2*p - 355 + 144 + 169 + (6 - 1 - 3)*(2*p - 3*p - p)) in the form v + x*p and give x.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74130555*u + 50664046 wrt u?\nAnswer: -74130555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akpu when four letters picked without replacement from puupapapkmappp.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 184\/1703 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 987066778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) + (sqrt(170) + -2*-1*sqrt(170) - sqrt(170)) - sqrt(170)) - sqrt(170))\/(sqrt(10) - sqrt(800)\/sqrt(5)))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 13 - 1. What are the prime factors of 8\/28 + 33\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-21384)\/54)\/(1\/(-11)) - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 31 + 29 + 29 - 114 + a + 28. Suppose 4 = -m - 2*x, 0*m - 2*m - 3*x = 6. Calculate h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-60) - 4\/(-6). Suppose s - 26 = -4*t, 0*s - 10 = -2*t + s. Let o be 5\/(-2) + t\/3. Which is the third biggest value? (a) h (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6985.8 - 6985. Let y = -2 - -3. Which is the nearest to 0? (a) m (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 + 19*s**2 + 2*s + 9. Calculate c(5).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 8. Let z = b - 0.5. Let g = 0.07 - -2.93. Put 4, g, z in descending order.\nAnswer: 4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 2, -83, -314, -739?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/147)\/((-42)\/(-36)). Is h < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 1288.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from zmzzm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j - 1. Let n be r(7). Suppose 8 = -4*s + n. What is the lowest common multiple of s and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o + 10 = 0. Suppose -g + 140 = -3*u - 157, o*g = 0. Let m be (-1)\/(3 + 298\/u). What is the highest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, 67, 239, 573, 1123, 1943?\n\"Answer: 9*s**3 + s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -400 (base 6) to base 8\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22 and -0.106944.\nAnswer: -22.106944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/5 + (-264)\/(-440).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 9:06 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 267 + 45 + 56 + 63 + 47 + 56.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 17, 3, 0 in decreasing order.\nAnswer: 17, 3, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 4*l + 5. Let n(u) = -u**2 - u. Let d(w) = -g(w) + n(w). Let q = -56 - -50. What are the prime factors of d(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Suppose -2*d + d + 733 = -o, 0 = -4*d + f*o + 2931. Suppose -6*g + d = -444. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 28*c**2 + 72*c + 108. Calculate j(25).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 + 3 + 69*q + q**2 - 69*q)*((-1 - 2 + 0)*(-2 + 2 + 4*q) + (4 - 4 - q)*(-1 + 3 + 3)).\nAnswer: -51*q**4 - 17*q**3 - 51*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 826483 and 24549.\nAnswer: 2479449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*x = -23, 8*g - 11*g - 5*x + 19 = 0. What is the first derivative of 11 + 20*k**3 + 10 + 17*k**3 - 8*k**g wrt k?\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414 (base 5) to base 3.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**3 - 20*u**3 + 2044*u**2 + 76*u**6 - 3*u**5 + 18*u**3 + 146*u**6 wrt u.\nAnswer: 26640*u**3 - 180*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 17*h - 26 = 0. Suppose 19*p - h*p - 936 = 0. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (941950*f - 1 - 2 + 3 - 944287*f)*(0*f**4 + 0*f**4 - f**4).\nAnswer: 2337*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.014 times 31953\nAnswer: 447.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - q - 2, 5*o + 64 = 2*q + 67 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = 5*w, -3*p = -6*p - 3*w - 6. Suppose 0 = 4*b + 5*u - 1, b + 2 = 3*b + 2*u. Put 5, p, b in ascending order.\nAnswer: p, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*c = w - 48, 5*w = 4*c + 76. Suppose 3*g - g - l - 36 = 0, -w = -3*l. Calculate the smallest common multiple of g and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39432)\/(-27931))\/(70\/34 + -2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 512 - 193*f**2 + 144 + 194*f**2 in the form g*f**2 + q*f + v and give v.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 4*y**2 + 5*y. Suppose 3 = b - 2. Let h be v(b). Solve -2*n - 3*x + 3 - 2 = h, -4*n + 11 = -3*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1446, -1448, -1452, -1458?\nAnswer: -1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 78. What is n(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -284229 divided by -99?\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 39 = 3*s, 2*c - 62 = 9*s - 14*s. Solve -2*o - s = -5*m + 3, -2*o = 4*m - 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 + 4*l - 7. Let i(x) = x**2 + x - 1. Let r(g) = -f(g) + 5*i(g). Let q(y) be the first derivative of r(y). What is q(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -304*n**2 + 15*n + 30. Let l(q) = 104*q**2 - 5*q - 10. Let z(t) = -6*h(t) - 17*l(t). Find the second derivative of z(g) wrt g.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 7. Let v be n(5). Suppose 4*o = 5*g + 1, 4*o + v*g - 31 = -3*g. Find the first derivative of o - 3 - j + 0 wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + n)*((-5 + 5 - 2)*(0*n + 0*n - n) + n - 3 + 3 + 2082*n - 2090*n - 37 - 2).\nAnswer: 5*n**2 + 39*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**4 - 12*y**5 + 9*y**4 - 2*y**4 + (5 - 2*y - 6 - 1)*(3*y**4 + 3*y**4 - 3*y**4).\nAnswer: -18*y**5 - 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*k*q*t + 12*f*k*t - 498394*f*q*t - 5*k*q*t - 415*k*q - 115*k*t - 2*q - 3 with respect to f.\nAnswer: k*q*t + 12*k*t - 498394*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -60\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*c + 186*c - 379244 + 758479 - 379235.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/620 and -35\/2108.\nAnswer: 10540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 21*x - 1. Is 17 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 242, 12, 5, -4 in descending order.\nAnswer: 242, 12, 5, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5687 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 + 11?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-3\/34)*j**(5\/3)\/j**(-1))**(-1\/36) assuming j is positive.\nAnswer: j**(-281\/3672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1836 + -1828. Which is the closest to d? (a) -1 (b) 0.2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 579720 and 30386990.\nAnswer: 364643880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*q**2 - 173*q**2 + 287*q**2 - 2*q + 2*q**3 - 4 in the form n*q**3 + m*q**2 + a*q + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (76\/(-10))\/((100\/(-10))\/8100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 4*f + 8 = -2*b, 5*f + 5*b = 30. Solve 0 = c - 2 + f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 5*x**2 - 70*x + 8. What is t(11)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1 - (9 + -5 + 7)) + 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 32*p + 4248 = 0. Let b = p + 510. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 943158869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 47*g - 20*g. Let v be (-1 - 2\/(-4))*2. Let k = 5 + v. Solve -3*r = g - k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 71?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmymmymm. Give prob of sequence yy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -725 < -269160\/371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 - 40. Let o = a + -27. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48865173?\nAnswer: 3, 7, 2326913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-9)\/(-2)*(-440)\/990)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*q**4 + 72*q**3 + 2*q + 27994 wrt q.\nAnswer: 220*q**3 + 216*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1110, -2344, -3562, -4758, -5926, -7060, -8154, -9202?\n\"Answer: o**3 + 2*o**2 - 1247*o + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/19 + 87\/133. Let k = 0 + -0.2. Which is the third smallest value? (a) v (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 780327 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 (base 5) in base 3?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from esffse?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*i - 26*i - 44. Let w = -222\/5 + i. Which is the second smallest value? (a) -2\/21 (b) 0.1 (c) w (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*6 + (46 - -13) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 480\/7 - 2579\/42. Calculate the common denominator of 5\/141 and i.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*c = -3*z - 3, -5*z - 13 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/20*(-85)\/(-34)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 88 + 4. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3 + 7. Is 4\/(-5)*8*k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3337 rounded to 1 dp?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 3*g**5\/40 + 19*g**3\/6 - 3*g**2 + 16*g - 6. Let k(s) be the second derivative of t(s). Let a(u) = 25*u. Calculate k(a(z)).\nAnswer: 225*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 145, 194, 243?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4052 (base 7) to base 4.\nAnswer: -112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*b - 0*m + m, 0 = 4*b - 4*m - 40. Suppose 603 + 573 = b*p. Let q = 499\/3 - p. Is 0 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 39*s**2 - 1. Does 25 divide u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*n + m + 12*m - 71, 2*m + 20 = 6*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 2*b + 2, 3*b = l - 3. Let u(a) be the second derivative of 1\/3*a**4 - 16*a + l + 0*a**2 + 3\/2*a**3. Find the second derivative of u(h) wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -405 + 289*k - 408 - 396 + 1164 in the form n + c*k and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.5 + 10. Let d = 63 - q. Suppose -1641 = -6*s - 1653. What is the closest to -0.2 in d, 3, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 23. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -982 = 2*u - 4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*o**4 + 4*o**4 - 4*o**4)*(0*o - 3*o + 4*o) - 3*o**5 + 0*o**2 - 3*o**2 + 2*o**2)*(2 + 1 - 1).\nAnswer: 8*o**5 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77)*-3 - sqrt(77))*3)\/sqrt(7) - (-2*sqrt(2695) + sqrt(2695))\/sqrt(5))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4749 by -270.\nAnswer: 1583\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.275 + -0.275. Sort -10, 1\/5, g in decreasing order.\nAnswer: g, 1\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - 0.1. Let s = -6 + 11. Suppose -s*y + 10*y - 12 = v, -4*v + 2 = 5*y. Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -6. Suppose -z*u - 20 = -0*u. Let d be -2 + (-1 - -1) + 0. Sort 2, u, d in descending order.\nAnswer: 2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 1. Let s be x(1). Suppose 2*w - 160 = -2*w. Suppose -s*l + w = 2*l. Calculate the highest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 17.5. Let u = 17.5 + -26. Let i = j - u. What is the fourth smallest value in i, -0.4, 1\/4, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 17. Let c = -65 + 82. Let d be a(c). Let k = d - -60. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384617 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = 3*o - 321, -5*h + 10 = 0. Suppose -2*x = x - 12. Suppose 17 - o = -x*b. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*l**2 - 3*l + 16*l - 5*l + 7*l.\nAnswer: -115*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 718146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7809 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -154.79709 - -2101\nAnswer: 1946.20291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3360.781 years to decades.\nAnswer: 336.0781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 68*d - 508. Determine c(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1005*j**4 - 6828*j**3 - 9*j**2 - j + 103517 wrt j?\nAnswer: -24120*j - 40968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3211 - -6637\/2. Are 109 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7390400 to the power of 1\/2, to the nearest integer?\nAnswer: 2719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26244241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 183. Let o be (-104)\/u - -3*6\/63. Solve o*q - q = 5*k + 12, 20 = 5*q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 3*c**2 + 0*c**2 + (c - c + c)*(-c - 3 + 3) + 0*c**2 - 4*c**2 + 2*c**2 + 248 + 21*c**2 - 248.\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.93875 from -0.04.\nAnswer: -0.97875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248172 and 3378?\nAnswer: 139720836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16824080 by -4622.\nAnswer: -3640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 595559*o**4 + 3*o**2 - 2*o - 1113376?\nAnswer: 7146708*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*r - 36, -22*c + 5*r + 47 = 9. Let p be ((-4)\/10)\/(1\/5). Let y be ((1 - p) + -2)*5. Solve 4*g - 5 = y*n, g = 4*n + 6*g + c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -16, -22, -30?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1403 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*v + 46260 + 14937 = 3777 for v.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/9 + 68627158*q\/9 = 0?\nAnswer: -34313579, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 8) in base 2?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.826 - -2.826. Sort -5, 9, j, 2\/7, -1 in decreasing order.\nAnswer: 9, 2\/7, -1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbwwwbwwwbwb. What is prob of sequence wbb?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*n**2 - 1 + 2*n**3 - 25*n**2 + 2*n + 6*n - n**3 - 2*n**3 to s + z*n**3 + f*n + x*n**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*v**4 - 16\/9*v**3 - 92\/3*v + 0 + 194\/9*v**2 = 0. Calculate v.\nAnswer: -23\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 19, 20, 9, -20, -73?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 + 33965*y\/2 - 33963.\nAnswer: -(y - 33963)*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 85760.94 millilitres in litres?\nAnswer: 85.76094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-24)*-3)\/((-1)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 78464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 5 in ascending order.\nAnswer: -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-27))\/(-3*1\/18). What is the nearest to r in -1\/4, -4, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -248 - -6932?\nAnswer: 6684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*m - 146*m + 242 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1847.0002597 - -1847. Round w to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 3. Let i be w(-2). Let z = i - -1. Suppose -z*j = -0*j - 20. Solve c - j = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -4*j + s, j + 50 = -0*s + s. Let o = -32 - j. What is the remainder when 36 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 6 (b) -0.032 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 16 + 125. What is the highest common factor of r and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5292127 to the nearest integer?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 637 - -2*4\/(-8). Suppose q = 2*l + 4*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 28 + 7. Find the second derivative of 3*k**4 + 0*k**4 + 8*k**4 + o*k + k**4 wrt k.\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(52)\/sqrt(4)*6)**2*-4 + 2.\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 5586705142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -26*j + 2. Let i be v(0). Solve 2*k - 4*k - 5*r - 22 = 0, r + i = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -29. Suppose -11 = -7*y + a. Suppose 3*n + n + 3*u = 457, 0 = -y*n + 2*u + 218. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1123158195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 639293351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -320252 divided by 75?\nAnswer: -320252\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/583, -2.2 in ascending order.\nAnswer: -2.2, 2\/583, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21469.0219 plus -7?\nAnswer: 21462.0219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 - -187. Suppose -5*k - 2*t + i = -6*t, -2*t - 58 = -5*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52954 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (105\/49 + -5)*-7. Suppose 5*a - m = 5*z, -2*z = z + 15. Which is bigger: 1\/13 or a?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 446 (b) 8 (c) 2 (d) 19.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -47*d**8\/28 + d**4\/12 - 213*d**2 + 140*d. What is the third derivative of s(v) wrt v?\nAnswer: -11280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -34*r + 5. Is j(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 489000 to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Let g be (-6)\/4*(7 - 67). Let u be 52\/g + 2\/9. Put u, m, 2\/17 in decreasing order.\nAnswer: m, u, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/20)\/(7\/2). Let t = 6.2 - 1.2. What is the third biggest value in b, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120.01368 - 0.00632. Let t = 123 + k. Let j = 0.02 + t. Put -1, j, 1 in ascending order.\nAnswer: -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (160\/6)\/(6\/18). Suppose 2*i + 4*d = 8, -5*i = 2*d - 4*d - b. Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1*1\/5). Let y(s) be the second derivative of -5*s**3\/6 - 2*s**2 - 14*s. What is the tens digit of y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzztzllzztlzl. Give prob of picking 3 l and 1 z.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 3, -19, -35815?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2000321 (base 4) to base 15\nAnswer: -269e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80007065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2492*b**3 - 5*b + 4979*b**3 - 2499*b**3 + 2*b**2 - 2 + 7*b. Let i(t) = -t**3 - t**2 - t. Calculate -2*i(d) - v(d).\nAnswer: 14*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1006 + 161\/(-46)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/5250 and 43\/1250?\nAnswer: 26250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d = 2727 - 2237 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g. Let k(x) be the first derivative of 3*x**2 + 2. Determine z(k(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, c: 2, a: 2, m: 2, z: 2, g: 4}. Give prob of picking 1 z, 2 v, and 1 c.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*u**4 + 77*u**5 + 190*u + 159*u**5 + 45*u**4 wrt u?\nAnswer: 4720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 224\/36 - (-2)\/(-9). Is 15 a factor of (-119)\/(-3) - 4\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 241*s - 5 - 218*s - 4. Let y(g) = 47*g - 19. Let l(a) = -11*w(a) + 6*y(a). What are the prime factors of l(4)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = u. Let l = u + 8. Put l, 2, -1 in decreasing order.\nAnswer: 2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11509 - 7979. List the prime factors of g.\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 0*m**2 + 12*m**2 + 13*m**2 - 10*m**2 to the form t*m + o + q*m**2 and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6681288*n**3 + 2081*n**2 - 35.\nAnswer: 40087728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/((-2)\/4 - (-35)\/14). Let z be (-5)\/15 - (-16)\/3. Sort q, z, 4.\nAnswer: q, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 3. Let m(w) = 13*w - 11. Let n(f) = -9*h(f) + 2*m(f). Let r = -10870 + 10874. Calculate n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*c - 30. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = -2*r - 54, 18 = v - 5*r. Suppose 3*g - 6 - v = 0. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = 5*k + 17*r - 9, -3*r + 15 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 76?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*y - z + 3, -4*y - 4*z + 20 = 0. Let t(l) = l - 1. Let d(g) = -11*g + 3. Let i(u) = y*t(u) + d(u). Calculate i(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-five quarters of a kilometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 44*i**3 + 62*i**2 + 10*i**4 + 36*i + 12 - 76*i + 4*i**2.\nAnswer: 2*(i - 2)*(i - 1)**2*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*r - 4 = 0, -3*o - 3*r = -8*r + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/64 or 0?\nAnswer: 27\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1666245581?\nAnswer: 7, 11, 13, 101, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28155012 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.600722 days?\nAnswer: 13825.03968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75650?\nAnswer: 2, 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t**3 - 5*t**2. Let w(x) = -17*x**3 + 4*x**2. Suppose 15*i + 22 = -85 + 32. What is i*w(z) - 4*j(z)?\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 117\/(-26)*4\/(-3). Solve 4 = -l*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(34)\/sqrt(2) + sqrt(17) - 3*(sqrt(68)\/sqrt(4) - sqrt(17)))*2)**2.\nAnswer: -48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88, -186, -284?\n\"Answer: -98*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 390 + 936. Is x a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 38*k. Let t(o) = 27*o**2 + 10*o. Give n(t(x)).\nAnswer: 1026*x**2 + 380*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1401403\/14 + -194263\/2. Let o = -2977 + x. What is the common denominator of o and 26\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -767 - -766 - (-6 + 1 - (11 - -45)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1907*m. Let v(r) = 51*r. What is z(v(u))?\nAnswer: 97257*u","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 5:11 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z + 105*z = 25146. Calculate the remainder when 626 is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 16*g**3\/3 + 3*g**2 - 15*g + 24. Does 35 divide b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 10*v - 212 = 0, -28*d + 202 = -24*d - 5*v. Calculate the highest common divisor of d and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-30)\/480*36\/2*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*h**3 - 7654167*h**2 - 765417*h.\nAnswer: 3*h*(h - 255139)*(10*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(4\/5)*r**11 assuming r is positive.\nAnswer: r**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(5\/(10\/8) - -22).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1479*d**2 - 74*d**3 + 131*d**2 + 169*d**3 + 135*d**3 + 32*d**3 wrt d.\nAnswer: 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -17*r**7\/210 - 19*r**4\/24 - 6*r**2. Find the second derivative of p(c) wrt c.\nAnswer: -204*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -61?\nAnswer: 29\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 98, 128, 180, 254, 350?\n\"Answer: 11*o**2 - 3*o + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baabababbb. Give prob of picking 2 a and 2 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**2 - 223276*h + 446536 = 0.\nAnswer: 2, 55817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 - -2 - (4 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -3*q + 10*q. Suppose 0 = 10*p - 6*p - q. Let a(i) = 2*i**2 - 6*i + 2. What is the remainder when a(4) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-4 - (3 - 10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 29*p - 3. Let v be s(-5). Let n(x) = -5*x**3 - 2*x**2 + x. Let o be n(1). Is v\/(-16) - o\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77)*-1*-6 - sqrt(77)))\/(-3*sqrt(112)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 + -138. Let z = 125 - 377\/3. Let y(w) = w**2 - 4*w + 1. Let k be y(2). Which is the closest to z? (a) k (b) 0.06 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 54*g + 180. Calculate the remainder when m(-22) is divided by 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Suppose 0 = -4*s - 3*f + 24, -5*s + 0*f - 4*f + 31 = 0. Solve r = m - s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-349747)\/(-5) - (-29)\/((-1015)\/14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + p = -4, p + 4 = -5*q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5589, -5590, -5591, -5592, -5593, -5594?\n\"Answer: -w - 5588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79866540 a multiple of 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 566, 2298, 5184, 9224?\n\"Answer: 577*h**2 + h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3014\/(-33) - (-2)\/(-3). Let p = -42 - l. Let q = p - -1. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 177 + 173 = 0, 0 = 2*j - 3*p - 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*x - 4*v + 35 = 124*x + 241, 20*v - 139*v - 6069 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3426072 and -35\/44.\nAnswer: 37686792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 4*p + 6*p)*(1 + 1 + 0) + 77 - 36 - 29*p - 38 + (-5 + 1 + 2)*(2 - 2 - 2*p) - p - 3*p + 5*p - p + 4*p - p in the form g + z*p and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121052537 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 962 and 2705625?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 2. Let d be n(3). Let y = 295 + -1765\/6. Let o = -11\/18 + y. Which is the second smallest value? (a) -1\/5 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13005250 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -93. Solve f*s = 3*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -6*k**3\/13 + 6014*k**2\/13 - 2000*k\/13 - 4008\/13 = 0.\nAnswer: -2\/3, 1, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-39))\/(2\/63). Let u = a - 22. Let f be (-1)\/u*10\/175. Is f at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 3970498.\nAnswer: 3970498.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 2335 + 6855 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - g**2 + 20*g + 81. Let j be k(12). What is the highest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 157, 366, 659, 1036, 1497?\nAnswer: 2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.96 + -172644?\nAnswer: -172641.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*t + 31*t - 445809. List the prime factors of t.\nAnswer: 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 3. Suppose -2 = 5*h - 17, -5*a + 3*h + i = 0. Calculate the remainder when 2*(a\/2 - 2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*c + 12, -2*s - 5*c - 176 = -149 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/1)\/(-1))\/(11\/11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-375)\/250)\/(66\/2)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 355.1 - 355. What is the biggest value in x, -2\/23, -0.6, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f0b3 + 0?\nAnswer: -f0b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -141\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.337 + 0.067. Let z = 0.41 + j. Let p = z - 0.14. Which is the closest to 2\/3? (a) -0.1 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1*1082\/19476.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2394733, 4789469, 7184207, 9578947, 11973689, 14368433?\n\"Answer: q**2 + 2394733*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 8, d: 4, y: 5}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -12*r**2. Suppose 0 = -944*d + 946*d - 4. Let v(h) be the second derivative of 10*h + 0 - 1\/3*h**3 + 0*h**d. Give s(v(a)).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) - 308\/(-16). Find the second derivative of t - 11 + 11 - i*t**2 wrt t.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 41. Let p = 19 - o. Which is the smallest value? (a) 3 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3934 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, 37, 47, 57, 67?\n\"Answer: 10*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.33 + 0.67. Put n, 0.2, -2\/5 in decreasing order.\nAnswer: n, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + a - 5555 = 0, -6319 = -m + 5*a - 782. Calculate the highest common divisor of m and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8230540.\nAnswer: 2, 5, 411527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from pppppqqppppp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - r. Suppose r*j - 3*j = -23. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2206 and 0.02.\nAnswer: 2206.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, e: 3, c: 8}. What is prob of sequence cce?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 20. Let a = 31.27 - n. What is a rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3153 + 3219. Let s = -2.1 + 2. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 36 = 3*m, 0 = 52*m - 53*m + 3*q + 12. Let w(y) = 2*y - 21. What is w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 i, and 1 v when four letters picked without replacement from {g: 4, c: 1, v: 1, i: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 64 - 14. Let j = v - 21. What is the remainder when 13 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 + 16.3. Let x = 15 - b. What is the closest to x in 0, -3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600*f - 596*f - 2640 = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/7, -0.017, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-247)\/26)\/19*(-16)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1146 and 15753.\nAnswer: 6017646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(3\/6). Let c(y) = 1 - f + 3 - y - 4. Calculate c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, r: 5}. Give prob of picking 2 u.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -4, -3, 14 in ascending order.\nAnswer: -4, -3, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**2 + 146*b - 207. What are the prime factors of m(17)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 119?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - r - 25 = 3*h, -3*r - 23 = -2*h. Factor 2*p**3 + 1122*p + 3*p**3 + 5*p**h - 15*p**2 + 10 - 1127*p.\nAnswer: 5*(p - 1)**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -115\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -555, -562, -575, -594, -619, -650?\n\"Answer: -3*z**2 + 2*z - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -629 - -629. Let h be 2\/(498\/125 + -4). Let i be (252\/h)\/(-1) + -2. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242) + sqrt(242)*-2)) + 2.\nAnswer: 2 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f. Let l(x) = -101*x**2. Give l(k(c)).\nAnswer: -404*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 13*o - 3. Suppose 0 = 5*v - 5*a - 50, -4*v = -0*a - a - 40. Let g be t(v). Is g*(-2)\/4*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291999.\nAnswer: 1291999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c. Let m(y) = -y**3 - 6*y**2 - y - 8. Let r be m(-6). Let b be (-6)\/(-4) - 5\/r. Put b, -2, c in increasing order.\nAnswer: -2, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*l - 5. Let u = 0.04 + -0.44. What is the nearest to l in -0.5, u, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-128))\/(6 - (-516)\/(-88))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q. Let l(b) be the second derivative of b**6\/360 - b**3\/2 - 3*b. Let w(g) be the second derivative of l(g). Give w(y(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 2:51 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22936 + 22936 + 44*j + (j - 1 + 1)*(10 + 1 - 5) - 4*j + 3*j + 3*j.\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*b = -464*b - 397*b + 2162 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from mnmmmmmmnnm?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 173*q + 7367. Determine p(-71).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000097037833 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-18)*-3 - -3. Suppose 69 = l*f - 11. What is the highest common factor of f and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 32328?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9774 = 448*q - 9938. What is the highest common factor of 5643 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/10*(16 - (-4)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25900 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) 3 (c) -3 (d) 0.2 (e) 114 (f) 2\/9 (g) -6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - k)*(-2 + 0 + 4)*(-1 - 5 + 4)*(5 - 5*k**2 - 5) + 2845*k**2 - 192*k**3 - 2845*k**2 to the form j*k**3 + h + c*k**2 + w*k and give j.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3710, -14341, -31892, -56363?\n\"Answer: -3460*f**2 - 251*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91897 less than 0.2?\nAnswer: 1.11897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 54*s - 32. What is the remainder when 128 is divided by u(-17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/6)\/((-27)\/(-81)))\/(38\/4)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 11*b**5\/30 + 3*b**2. Let a(j) be the second derivative of 7*j**3\/3 + 5593*j. Calculate t(a(m)).\nAnswer: 4312*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 5*s**2 - 41*s - 16. Is n(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/120)\/((-153)\/(-135))*(1 - 0)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2699 or 283?\nAnswer: -2699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 25*i**2 + 45*i - 13 + 26 + 13*i - 35*i**2. Let n be t(6). Let z(s) = -s**2 + 2*s. Calculate z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21361*i - 413*i**2 + 21361*i.\nAnswer: -413*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1885410 divided by 90?\nAnswer: -20949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -24018648.\nAnswer: 1\/12009324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and 617636.\nAnswer: 20999624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 28. Let y = 3.5 + -0.5. Let s = w - y. Which is the third biggest value? (a) 1 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746737?\nAnswer: 746737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - (-5)\/3. Suppose 2*x - 6 = a*r - 6*r, 5*r + 3*x - 5 = 0. What is the first derivative of 2 + j**3 - 5*j**3 - 3 - r wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 3:08 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 3092969*z + 3092958*z.\nAnswer: -11*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92353 + -3509429\/38. Suppose 0*n - n + 1 = 0. Is h != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 6\/5 (c) 3\/2 (d) 0.11 (e) 2\/189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 401577857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/11))**38*q**(-7)*q**(-19)\/q)**(3\/7) assuming q is positive.\nAnswer: q**(477\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, 0.9, -1\/6, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 198.969 - -0.031. Let n = r - 196. Which is the second biggest value? (a) 0.2 (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/3)\/m**23 assuming m is positive.\nAnswer: m**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, b: 2}. What is prob of picking 2 w?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8838 times 1.25\nAnswer: -11047.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28293358 is divided by 1114.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 603 - 324. Suppose p = -6*h + 33. Do -41 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -709376272 by -44336017.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1592*i + 15922. Calculate the smallest common multiple of p(-10) and 1864.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*u + 3*j - 11 = -292*u, -5*u - 15 = -5*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, -337, -5?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 b when four letters picked without replacement from {j: 2, b: 10}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/78 - (5 + -4) - 8\/52. Let w = -23 + 67\/3. What is the closest to -2 in w, 9, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 41, -18, -133, -322, -603, -994, -1513?\n\"Answer: -3*x**3 - x**2 + 3*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 + 94.5. Let j = 32 + w. Let n = j - -3.5. Which is the biggest value? (a) -1\/3 (b) 2\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/483? (a) 2\/23 (b) -2 (c) 1\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000502 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(sqrt(42)\/(sqrt(6) + (sqrt(18)\/sqrt(3) + sqrt(6))*4))**2*5.\nAnswer: -35\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {a: 1, w: 19}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 685\/157308 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26058*z + 1234454 = -798070 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10*15*(-2)\/(-24). Let x = 2.1 + -2. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5007 = 5*y + 798. What is the tens digit of (-2 + 1)\/(7 - (-8130)\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452708*y - 4 + 2 + 2 - 452707*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2092.3627 and -0.6161?\nAnswer: 2092.9788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168727, -168731, -168737, -168745, -168755?\nAnswer: -168767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14813*b**4*l - 2*b**2*l - 20306*l wrt b?\nAnswer: -59252*b**3*l - 4*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22) + sqrt(22)*1)\/sqrt(2) - (sqrt(11) + -3 + sqrt(22)\/sqrt(2)))*5)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155858 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 9. Suppose m*n + 48 = 2*n. What is the units digit of -3*(-8)\/n - -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*w + 50 - 30 = 0, 9*w = 27 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 545 - 42. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933001209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v. Let l be u(1). Let y = 3855 + -3684. Suppose 153 = n - 2*m, l*n - m - y - 567 = 0. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * -6233.\nAnswer: -143359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 - 48*b**3 - 276*b**2 - 400*b - 174 = 0.\nAnswer: -3, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -395 + 372. Is 38 a factor of (-19)\/(-4)*(95 + s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152624 (base 7) to base 4\nAnswer: 13101302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1254913388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18 - 4)\/(-2) - (-1 - 5). What is the second smallest value in -1\/2, p, 3, 8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22306 + -22301. Solve 7*x + 4*d = 6*d + 34, -p*x + 3*d = -29 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j - 10 = 0. Let s be (-2 - -5 - -1)\/j. Which is the smallest value? (a) -0.08 (b) 1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2616*-1389\nAnswer: -363.3624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) -0.9 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807331447 - 807331447 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*k + k + q, -4*k + 4*q + 36 = 0. Let y(b) = 3*b**2 - k*b**2 + 0 + 1 - 7*b + 4*b**3 - 5*b**3. Determine y(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45090357 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 3:30 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26260?\nAnswer: 2, 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48867 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4028202 a multiple of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -779 = 5*d - 2*c - 2069, 5*c = 4*d - 1049. What is the highest common factor of 12 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -10. Suppose -3*l + 4*o + 8 = -7*l, 0 = 5*l - 5*o - w. Let g be (l*80)\/(15\/(-1125000)). Round g to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 695*t - 440. Let g be y(9). Let v = g + 988. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-47079)\/(-39) - ((-1104)\/(-78) + -14) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5\/2 - 3*n**4\/2 - 9*n**3\/2 + 7*n**2\/2.\nAnswer: n**2*(n - 1)**2*(5*n + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.1. Let y be (-15)\/20 - 4\/(-2). Which is greater: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -976 = -4*m - 2*v + 1314, 3*m - 2*v = 1721. Suppose 0 = c + 2*c - m. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 1. Suppose -i - 4*i - 10 = 0. Suppose -21 = 5*d - 4*f - 8, -4*d - 26 = 2*f. Let t(l) = l**2. What is d*t(a) + i*y(a)?\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 357*q + 187. Let h(t) = 17*t + 9. Let n(u) = 85*h(u) - 4*v(u). Let w be n(-1). Solve w = 2*r - r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/125916 and -3\/965356.\nAnswer: 2896068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 97*j**2. Let n(k) = -k + 2. Let i(q) = 6*q - 13. Let a(x) = -6*i(x) - 39*n(x). Determine a(v(p)).\nAnswer: 291*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 21.94. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 l, and 1 p when four letters picked without replacement from {p: 5, y: 5, l: 3, z: 1, x: 5}?\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018698285 to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -130, -121, -108, -91?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*w**3 - 1236*w**3 - 5881*w**3.\nAnswer: -7331*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -45. Let m be 17 + -12 + i + -1. Solve -4*j + m*j = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(9\/((-252)\/8)). Let c = 108 - w. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 4. Calculate the remainder when g(4) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222 + -6883\/31. What is the third biggest value in -2\/7, 4, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-7 - (5 + -9) - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 38 (c) -403 (d) -5\/2 (e) -2\/5 (f) 2 (g) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48372 = -185*v + 1853*v for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3378 + -3362. What is the least common multiple of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -257, -552, -845, -1136, -1425, -1712?\n\"Answer: f**2 - 298*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.981 - -1.019. Is -0.4 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/(0 - 33\/(-572)). Suppose -t + 58 - y = 0. Solve 0 = -t*m + 30*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8468.1 + 8468. Let i be 4\/((0 - -14)\/2). Which is the nearest to u? (a) 2 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/30 + (-1 - 17\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318972 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from {p: 1, e: 2, g: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10623000)\/(-51) - -2*19\/(-323) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b = -20 - 32. What is the nearest to -0.2 in -0.5, 2\/11, b, 6\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -508 - 507 - 507 + 1033*b + 1522 to the form a*b + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 45. Let p = -45 + b. What is the second smallest value in p, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110010010102 (base 3) to base 14\nAnswer: -457863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -82?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2075.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = 3*m. Suppose -30 = -4*i - 42. What is the fourth biggest value in 0, m, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -3*g - 10. Suppose q = -7*q + 8. Solve i + g = q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*w**2 + 170*w**2 - 46*w**2 - 78*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 218*a + 26*a. Solve -1981*i + 1979*i + 4 = a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6))**(-8\/13) assuming i is positive.\nAnswer: i**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40961\/64 + -640. Suppose -6*i + 98 = i. Suppose 6*x + i*x = 20. Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + -2 + (-142 - -137).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-7))\/(((-1230)\/(-20))\/41).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -582 + 313. Let j = 261 + u. Which is the closest to j? (a) -1 (b) -0.8 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 29273?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13683 + -6043. Suppose 32*l = 40*l - y. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-140)\/50*(-175)\/(-10). Let y = 48 + o. Which is bigger: y or -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*p + 528 = 0, 3*q - 6*p - 1551 = -4*p. What are the prime factors of q?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - q + q - 8 - q - 2*q**2 in the form d*q**3 + l*q**2 + f + w*q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v - 53*v + 6 = -2*g, -5*v = 2*g - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = c - 4*f, 162*c = 166*c + 2*f - 312. Calculate the remainder when 3000 is divided by c.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3836 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {e: 1, z: 2, i: 2, h: 4, n: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034903 rounded to 7 decimal places?\nAnswer: -0.0000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 6*s**2 - 4. Suppose 3*g = -5*q + 30, 3*g - g = -5*q + 30. Give n(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 210\/80*4 - 9. Factor -3\/2*x**2 + 3\/2 + u*x**3 - 3\/2*x.\nAnswer: 3*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 12 - 0. Solve 0 - 17 = -5*r + y, g*y = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/3)\/o**(-3\/7)*(o\/o**(3\/7))\/((o**(-1\/2)\/o)\/o)*(o*o**(-1))**(-10\/11)*(o\/(o*(o**(2\/5)\/o)\/o*o*o))**(-23) assuming o is positive.\nAnswer: o**(391\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-327)\/(-4) + (-3)\/4. Suppose -2*j - 6 = 0, 6*o - m = 5*o - 5*j. Calculate the greatest common divisor of 32 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75110166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*d + 30, -3*n + n + 6 = 0. Let v = -5 - -9. Suppose l + 0 = -4*u + d, -4*l + v*u = -104. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2\/9 (c) 47 (d) 0 (e) 6754\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 7. Let y(w) = 2*w + 128. Calculate y(c(m)).\nAnswer: 2*m + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1488092 and -117\/10.\nAnswer: 7440460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(0 + 4) + 11 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n**2 - 14*n - 6. Let d be o(-1). Let l be (-21 + -1)\/((-2)\/10). Let k be (-164)\/l + (-4)\/(-10). Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/196?\nAnswer: -3\/196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -1\/120*r**6 + 0 + 5*r**2 + 0*r**3 - 2\/3*r**4 - 3*r + 2\/15*r**5. Let b(d) be the first derivative of x(d). Factor b(v).\nAnswer: -v*(v - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 29401*q - 29398*q - 39, 0 = -q + 3*u + 24 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + x - 89 = 0, 4*x - 62 = -i - i. Calculate the highest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 347683441 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 153, 239, 343, 471, 629, 823?\n\"Answer: o**3 + 67*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 4:55 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -57, -81, -107, -135, -165?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 954274*h**5 - h**2 + 71*h + 5523.\nAnswer: 57256440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1743.14 tonnes?\nAnswer: 1743140000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40853332 minus 26.03?\nAnswer: -25.62146668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 483843 + -483817. Factor x*y - 5*y**2 - 20\/3 - 275\/6*y**3.\nAnswer: -(5*y - 2)**2*(11*y + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5041?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w + 9. Let a be s(-2). What is the second derivative of 134*h - 4*h**3 + 4*h**a - 38*h - 95*h**5 wrt h?\nAnswer: -1900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 17*l**2 - 3*l + 3. Let q(g) = -34*g**2 + 5*g - 6. Suppose 3*s = -15*i + 57, -20 = -4*i - 5*s + 3*s. Determine i*q(t) + 5*f(t).\nAnswer: -17*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.3 - 15. Let d = -2 - -7. Put r, d, -1\/6 in increasing order.\nAnswer: -1\/6, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*y + 90*y - 41*y.\nAnswer: 181*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317.359 meters in nanometers?\nAnswer: 1317359000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12649, 24943, 37237?\n\"Answer: 12294*x + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2478 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157267706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*m - 40*m - 216. Factor 5*v**5 + 125*v**3 + 39*v - 135*v**2 - 81*v**4 + m*v**4 + 11*v.\nAnswer: 5*v*(v - 5)*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -8. What are the prime factors of ((-1)\/(-2))\/(o\/(-132))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x**3 + x - 1. Let u be (3\/(-9))\/((4\/(-6))\/2). What is q(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 30*t + 1. Let z(r) = r. Give d(z(i)).\nAnswer: 30*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(66 - (3 - 1)). Let q be ((-6)\/(-4))\/((-15)\/b). Suppose 3*c - c = q. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -9*p + 149. Let g be (1\/(-3))\/((-6)\/p). Solve 0 = n + g*q - 15, -3*n = 3*q - 6*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19) + (sqrt(76) - (sqrt(76) + 4*sqrt(76)) - sqrt(76))\/sqrt(4).\nAnswer: -4*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*i = -542, -m = -5*m - 3*i - 2092. Let z = m + 1317. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 936 and 19872?\nAnswer: 258336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4246 - 4246.010135. What is n rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101120 - 2?\nAnswer: -101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-20)\/((-720)\/228)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9 + 23 + 4 - 4 - 2*u. Let h be x(14). Solve -7 = -d - h*q, 6 = q + q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41668*u**2 + 62456*u.\nAnswer: 83336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -p + 51, -x = -2*x - 3. Let r be 6\/21 - 19\/p. Let y = -11\/36 - -5\/9. Which is the nearest to y? (a) 2 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.8006151 rounded to 1 dp?\nAnswer: 104.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 27 in decreasing order.\nAnswer: 27, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -74. Let z be a\/10 + (-63)\/(-35). Solve l - 4*l + 12 = 2*o, 2*l + z = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1934639 and 13023.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (400\/(-900))\/(8\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 681244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1341333546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -x, -13*x + 4*w + 2 = -8*x. Solve -3\/5*b + 4\/5*b**x - 1\/5 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22174, -19994, -17812, -15628, -13442?\nAnswer: -11254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1556\/(-16))\/(9 - 1730\/192)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3))**(-30))**(-35) assuming o is positive.\nAnswer: o**(-350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*s - 200*s - 285 = 0. Suppose -z - 5 = 4*z. Suppose 12*f - 15*f = -51. Sort z, s, 4, f.\nAnswer: z, 4, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(1*sqrt(11)) + sqrt(272)*-1)*4.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 7*b + 9. Is l(-7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - -0.4. Let h = z - 1. Let l = h - 0.5. Sort -5, l, -0.4 in decreasing order.\nAnswer: l, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6) + (-7)\/2. Let x(a) = -2*a**3 - 4*a**2 - 5*a - 2. Let k be x(o). Suppose -r + 2 = 0, -k = -2*w - w - 2*r. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 - 126. Suppose 9*h = 4*i + 12*h - 3, -4*i - 5 = -5*h. Put g, i, 3 in descending order.\nAnswer: g, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-2)\/48). Suppose -4*s = c - 10, -j = -s + 3*c - 8*c. Suppose 2*o + 620 = -s*x, 5*x - 416 - 514 = 3*o. What is o rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 3, -207, 6, -260 in increasing order.\nAnswer: -260, -207, -5, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -3 + 16 - (-6 + 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 253, 355, 435, 481, 481, 423, 295?\n\"Answer: -2*h**3 + h**2 + 113*h + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 1\/2*r**5 + 0*r**2 - 10\/9*r**3 + 0*r**4 + 0*r + 19 + 5\/36*r**6. Find i, given that k(i) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/20701656 and 65\/1200096.\nAnswer: 82806624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 654991\nAnswer: 1\/654991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9 + 1)*(2*y**4 + 1 - 1) + 0 + 0 - 2*y**4.\nAnswer: -22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176*n**4 - 87*n**2 + 1?\nAnswer: -4224*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 - 162456*o**2 - 4870980*o - 36525600 = 0.\nAnswer: -40584, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.7. Let t = -0.25 - 2.75. Which is the closest to j? (a) 0.2 (b) t (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10095363 = 33595365. Suppose 8596561 = -3*q - 5*o - 5503434, b = -5*q + 2*o. Round q to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 7 = 6*b. Suppose -b*d = -8*d + 8. Sort -0.4, d, -3 in ascending order.\nAnswer: -3, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.5 (c) 0.4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 798*m\/5 - 796\/5.\nAnswer: -2*(m + 1)*(m + 398)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09032 + -0.0908977. What is w rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x - 33. Let g be m(8). Find the first derivative of 9 - 2*u**3 - g + 5*u**3 + 2*u**3 wrt u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 22\/3. Let h be 1 + (5 + 426\/(-84))*8*7. Which is the fourth smallest value? (a) h (b) y (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/(1\/(-2)). Let c be 4 - k*(-1)\/3. Let z be (20\/c)\/((-2)\/(-21)). What is the highest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63872 divided by -4\nAnswer: -15968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*f - z - 189, -5*f - 2025*z + 2020*z = 245 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7202323 plus -28?\nAnswer: 7202295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 16.3. Let l = u - 11.7. What is the smallest value in -5, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 3)*(1 - 1 + 2)*(1 + 0 + 0)*(-2*p + p**4 + 2*p).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22022 + -111201010?\nAnswer: -111101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:25 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56438?\nAnswer: 2, 28219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299430\/43 - -6963. Let k = -355\/903 - n. Is k > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q - 2. Let l be o(-3). Let x be (-2)\/1 - (-2 - -4). Let v be (-112)\/(-630) + x\/10. Which is the nearest to 0? (a) l (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 9*d**2 + 131*d - 128*d. Let z(h) = -h**3 - 12*h**2 + 2*h. Let m(l) = -2*j(l) + 3*z(l). Find the third derivative of m(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.5 (b) -1\/3 (c) 0.429 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7247.883cm to micrometers.\nAnswer: 72478830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-19)\/j)))\/j)\/(j*(j\/(j*j**8*j))\/j)*j*j**(-3\/5)*j**(2\/7) assuming j is positive.\nAnswer: j**(-396\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(48) + sqrt(240)\/sqrt(45)).\nAnswer: -1 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n = -320. Suppose 4*r - n = 3*i, 3*i + 2*i = -4*r + 96. Suppose -p = -2*p + r. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 p when three letters picked without replacement from {k: 1, h: 3, l: 1, p: 7}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3667 + -3651. Suppose -5*i - 2 = 18, -5*s = 3*i - 463. Calculate the remainder when s is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/12 - (-50)\/3. Let x = 3 - 2. Let r be ((-2)\/2)\/(x\/(-17)). Calculate the highest common divisor of y and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 93758975 and -5.\nAnswer: -468794875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(-1 + (0 + sqrt(2736) - sqrt(2736) - sqrt(2736)) + (sqrt(2736) - -6*sqrt(2736)*-2))**2 + -1)*4 + 3.\nAnswer: 5760*sqrt(19) + 7879700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -697 = -2*o - 11. Suppose -13*w = -o - 307. Calculate the greatest common factor of 350 and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = -3. Suppose f*a = 2*i - 6, -a - 2*i - 3 = -i. Which is bigger: -8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g**4 + 19*g - 19*g + (3 - 2 - 3)*(4*g**3 - g**4 - 4*g**3) + (16 + 6 + 7)*(g**4 + 4*g**4 - 3*g**4).\nAnswer: 70*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2172\nAnswer: 5\/2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 384 (base 14) to base 7\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.145858 and 0.03?\nAnswer: 0.00437574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 21*w + 381. What is the hundreds digit of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tgtrrttsprrpttstrg?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2. Let o(b) = 453*b - 72*b**2 - 600*b**2 - 453*b. Give r(o(u)).\nAnswer: -2257920*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(200) + sqrt(200) + sqrt(200) + 3*sqrt(200)*2 + sqrt(200) + 4 - (sqrt(4)\/sqrt(2)*-2 + 3)*2)**2 + 4.\nAnswer: -416*sqrt(2) + 21640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + sqrt(15)\/sqrt(3) - (1 + sqrt(320))).\nAnswer: -7*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 577 * -1.\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q**2 + 168*q + 16. Let u be k(13). Solve u*d - 13 = -z, -2 = -4*z - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9784\/15 - 652. Are -3\/2 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:37 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 9. Let y be n(3). Suppose -2*i + 12 + 2 = y. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/49785 and -85\/534.\nAnswer: 8861730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3591)\/(-378) - (-10)\/(-1))*36.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 839497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 - 100. Which is the fourth biggest value? (a) -0.5 (b) u (c) -5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) -4\/9 (b) -0.2 (c) 392 (d) 9\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 0*l + 0*l - 3*l - l**4 + 7*l**4 - 8*l**4 to j*l + c*l**4 + t*l**2 + f*l**3 + v and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/6, -0.2, -2\/27, -5, -40, -0.15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-558)\/(-416) + (-632)\/52 + 12 and -49\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 788, 1146, 1504, 1862, 2220, 2578?\n\"Answer: 358*y + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 241920 and 2880.\nAnswer: 241920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + 9 + 20 - -143?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*487 + (-3)\/(-6)*-6?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43.2, 25, 3, -5 in descending order.\nAnswer: 25, 3, -5, -43.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*q = -32, -8 + 3 = 5*q. Calculate the remainder when f is divided by 54\/(-21)*28\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5600074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25003600 rounded to the nearest one hundred thousand?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.66 - -0.6. Let w = -1.94 + c. Suppose 5*r - 4*a - 29 = -0*a, 3 = r + 2*a. What is the third biggest value in w, r, -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 27*o + 1. Suppose 37*x + 72*x - 109 = 0. What is l(x)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 3. Let l(y) = -1. Let q be ((-4)\/(-6))\/(19\/(-57)). Calculate q*v(h) - 6*l(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258071*h - 616 = -257983*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 57 = 9. Let z = 3696.8 + -3697. Which is the biggest value? (a) z (b) -0.02 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.175 times -4.2\nAnswer: 0.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1853 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1*(0 - -1). Suppose -u = -1 - a. Let s be (-69)\/(-46) - (-6)\/(-4)*-1. Solve -3*r - 7*v + 3*v = -17, -u*r = v - s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*t + 874*t = -63 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9039, 8917, 8713, 8427, 8059?\n\"Answer: -41*a**2 + a + 9079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -8. Calculate the remainder when 17 is divided by 5\/2*72\/g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(2\/7)\/z)*z**0)\/(z**(-3)*z**0) assuming z is positive.\nAnswer: z**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (4 + -7))\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4052125 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: What is 4\/4*5\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 956157848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:01 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/4))**(-40))**7)**(-5\/12) assuming m is positive.\nAnswer: m**(875\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjj. What is prob of sequence mjm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1986976 - 0.3.\nAnswer: -1986976.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -936 (base 10) to base 15\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 11*i**2 + 31*i + 12. Suppose p = -b + 35, -2*b + 135 = 2*b - p. Calculate the remainder when b is divided by r(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.8, -0.3, 0.3, -2\/3, 740?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*s**3 - 38*s**3 - 74*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306827 - 306443 = -64*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-6) - 31\/(-6). Find the third derivative of 10*j**d - 9*j**5 - 3*j**2 + 3*j**5 - j**6 + 10*j wrt j.\nAnswer: -120*j**3 + 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003986499 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzdwyzev. What is prob of picking 1 z and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 7:17 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 5)*(2*b + 141 - 148 - b) to o*b + f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -94969 times 0.64?\nAnswer: -60780.16","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/9840 and 101\/40.\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 32700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + l**3 + 3*l**4 + (3*l**3 - 4*l**3 + 0*l**3)*(3*l + l - 5*l) + 3 - 3 + l**4 + 10*l**4 - 35*l**2 + 35*l**2.\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331032 is divided by 141?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15\/14, -1\/3, -1, 20.6, -0.2.\nAnswer: -1, -1\/3, -0.2, 15\/14, 4, 20.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/11233 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 852, 1704, 2554, 3402, 4248?\nAnswer: 5092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - d - 3, y + 5*d = 2*y + 1. Suppose p = -y*t + 33, p + 48 = 5*t - 0*p. Let j = 11\/15 + -29\/10. What is the common denominator of j and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 8:22 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*v - 94 = 0, -3*z + 164 - 23 = 3*v. Let n = z - 45. What is the first derivative of -16 - 13 + 41 - 44*s**n - 36 wrt s?\nAnswer: -88*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.432 * 1.3096.\nAnswer: -4.4945472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 345 = 291 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-6) + 4)\/(2\/(-48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173 (base 9) to base 12.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324507413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Suppose y*o = f + 2*o - 10, -4*f + 40 = 5*o. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = 2. Suppose 2*y - 4*n = -j*y - 25, 5*y - 5 = -2*n. What is the third smallest value in y, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*-2*sqrt(200) + 6*-2*sqrt(200)*-5)**2.\nAnswer: 2240*sqrt(2) + 627204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*b + 18, -b + 0 = -4*q + 6. Let v be q*(-1 + 0)*2. Let k be ((-3)\/12)\/(5 + v). What is the third smallest value in 4, -5, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 1. Let j be (-7 - -6)*64\/(-2). Let p(d) = j*d + 1 + 7*d**3 - 6 - 34*d. Calculate -6*g(o) + p(o).\nAnswer: o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 11.1. What is the closest to 0 in 5, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -176 - 55. Suppose -k = -2*n - 0*n + 43, 4*k + q = 3*n. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {t: 6, h: 2, k: 2, s: 1, o: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**2\/5 - 3378888*j\/5 + 20273184\/5 = 0.\nAnswer: 6, 844716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 20*t**2 + 0*t - 6*t to the form v + n*t**2 + q*t and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*c + 5*x + 1, 4*c - 5*x = 2. Suppose c*v = -3*k + 18, 0 = -3*v - 2*k + 6*k + 18. Suppose t = v*t - 210. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3019680 and 104850.\nAnswer: 15098400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z - 9. Let q = 6 - z. Calculate the remainder when 7 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - (sqrt(133) - sqrt(133)*-1)*-1) + sqrt(133) + (sqrt(133) - sqrt(133)*1*6) + sqrt(133))*-3)\/(6*(sqrt(5040)*1)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -112*b - 4. Let n be v(7). Let r = n + 1136. What is r rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*g - 11157 + 21074 + 23510 = 4499 for g.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3787, -7291, -10809, -14347, -17911, -21507?\nAnswer: -25141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-75)\/125 - (4\/(-15) - -1). What is the third smallest value in 2\/11, 5, x, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-7) + (-1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*a - 150 = -7, -2*a = 4*m - 186. Let d = 94 - 32. Let r = -50 + d. What is the remainder when m is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12513 and 5529.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.033 and -2.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 1, -20 in descending order.\nAnswer: 8, 1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 + 5*b + 9. Let m(g) = 11*g + 126. Let k be m(-12). Determine p(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)**(5\/7)*(f\/(f*f**(-4)))\/(f**13\/f) assuming f is positive.\nAnswer: f**(-61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4, 0, -3, 5, 10.97, 4?\nAnswer: 10.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 75*i - 215. What is w(-37)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 18*g + 18. Let a be b(15). Suppose a = 7*l + 2*l. Calculate the remainder when 48 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1, -0.15, 1\/6 in increasing order.\nAnswer: -1, -0.15, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6352276 - -0.6361. What is n rounded to five decimal places?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**(2\/43))**45*(n**(-13)\/(n*n**(-2\/49)))**(2\/13) assuming n is positive.\nAnswer: n**(-81756\/27391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 3 - 3)*(37 + 87 - 19)*(2 + 1 + 1) + (-11*g**2 + 4*g**2 - 3*g**2)*(1 - 3 - 1).\nAnswer: -810*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1427 (base 8) to base 3\nAnswer: 1002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 126771.1us?\nAnswer: 126.7711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k\/k**(-1\/3))\/k)\/k*k)\/k)**0\/((k\/(k*k*k*k*(k**(-5\/4)*k)\/k*k*k*k))\/(k**(-1\/4)\/k*k)) assuming k is positive.\nAnswer: k**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 55 = -7*a. Suppose r = -3*r + 2*p + a, -4*r = -p - 11. Suppose -5*m + 672 + 48 = -u, 0 = -r*m + 3*u + 587. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1\/12)*q)\/(q*q**(-1\/3)) assuming q is positive.\nAnswer: q**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 700 + -690. What is the lowest common multiple of m and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-1 + 0*(-3)\/9. Let r be (p\/(36\/2))\/((-11)\/22). Which is the closest to -0.1? (a) r (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*x**4 - 111*x**2?\nAnswer: 672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m**5*v + 8*m**4*v**2 + 7*m**2*v - 2*v**2 wrt m.\nAnswer: -300*m**2*v + 192*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12202999997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*((sqrt(57) + sqrt(1425) + sqrt(57))\/sqrt(3) + 0)*5.\nAnswer: -420*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4, -3708, -2.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jck when three letters picked without replacement from ffjhclkllhfj.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17553?\nAnswer: 3, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*-6)\/((sqrt(120) + (sqrt(120) + (sqrt(120) - (sqrt(120) - 1*sqrt(120))) - sqrt(120) - sqrt(120)))\/sqrt(12)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1206*i**3 - 4873*i**3 + 1212*i**3 + 1219*i**3 + 1193*i**3.\nAnswer: -43*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {g: 1, h: 1, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82.3? (a) -0.4 (b) -317 (c) -5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.04, 3, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**3 - 5*o**3 - 6*o**4 - 5*o**4 - 12*o**4 - 37*o**3 + 33*o**3 + 0*o + 0*o + o**4 + (-2*o + o + 0*o)*(-1 + 1 + 2*o**3).\nAnswer: -24*o**4 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(56)\/sqrt(128))*-1)**2.\nAnswer: sqrt(7)\/2 + 23\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - ((-94)\/(-8))\/(5\/(-100))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481813 a multiple of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/7, 3.269, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -22, -37, -56?\n\"Answer: -2*u**2 - 5*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11)\/(-44) + 9\/(-4) + 121?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 35080*u**2 + 175295*u - 140220.\nAnswer: 5*(u - 7011)*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 12. Let b be 1*(3 + -2) - -16. Suppose 5*o - b = 3. Solve 2*y + r*z = -7, -4*y + 2*z + o = 6*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 419 (b) 6.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 97 + 133. Suppose 0 = -5*f + 3*m + 39, 2*f - b*f + 4*m = -28. Is 9 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -330*c**2 + 1220*c**2 - 283*c**2 - 5 - 7 - 202*c**2 to t + k*c + d*c**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 8 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 18708.1445 and 100.466.\nAnswer: 18808.6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22111594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -56283551 at most -56283551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1312\/(-32) - (-72)\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-96)\/(-432) - (-563)\/(-63)) + 9. Which is the closest to 75? (a) s (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x + 5. Let g be w(-2). Let b(a) = a**2 + 16*a - 3. Let i be b(g). Let s = -14 - i. What is the least common multiple of s and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**5 - x**5 - x**5 + (-80630*x + 422*x**4 + 80630*x)*(6*x + 7 - 7).\nAnswer: 2534*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1597 + -381. Calculate the highest common factor of 76 and q.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 - -16.7. Let r = v - 11.7. Let j = 3 - r. What is the biggest value in -1\/4, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7315860691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24894335 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -7) + (9 - 2) + (37 - 43)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48721411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2859, 0, 2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -43, -7, -1 in decreasing order.\nAnswer: 0, -1, -7, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2456.75791 - -2456.1. Round i to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*v - 3*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b + 50. Let j be d(-12). Suppose -67 + 195 = x + 4*z, -j*z - 128 = -x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 + -37. What is the lowest common multiple of 135 and i?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 879 = -x, -286 = x + 5*y - 1135. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*a + 76. Suppose 5*b + 5*p - 20 = 0, 5*b - 26 = 3*p - 2*p. Suppose a = b*q + 4*d, 0 = -2*q + q - 4*d + 28. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 1. Let v be k(1). Let u(o) = 26*o + 1. Is u(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 21*y**2 - 78*y - 4. Is m(25) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 + 31*s + 11. Calculate the remainder when 188 is divided by j(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -223\/6 and -36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2429 + -226. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*k = -76*k - 259607 - 1030921. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1396501 not equal to -1396482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 35, 59900 in increasing order.\nAnswer: -2, 35, 59900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4*-10\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12072 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(20\/50 - (-114)\/(-10)). Let c be (-134)\/(-6) - v\/(-66). What is the highest common factor of c and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/65)\/((-15)\/175)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**4 - 274*d**3 - 1608*d**2 - 1496*d + 1184 = 0.\nAnswer: -4, -2, 1\/2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(60\/(-64)) + 3\/(-15). Suppose 3*j + x*r + 15 = 0, -8*j + 5*r - 38 = -4*j. What are the prime factors of (-613)\/(-3) - j\/(-21)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 4*i - 14. Calculate j(-7).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 185 + 193 = 2*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21 - 1) + (-13)\/((-99)\/(-18) + -12). Solve 0 = p + c*p + 115 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 471841238 and 0.13.\nAnswer: 471841238.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2001 - -1997. What is the closest to h in -0.4, 10, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446208 divided by -166.\nAnswer: -2688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -2\/27 (c) 3 (d) 5\/16 (e) 2 (f) -247\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385) + (sqrt(385) - 2*sqrt(385)))\/sqrt(7) + 2*sqrt(2695))*-2)\/((2*(-2*sqrt(110) - sqrt(110)))\/(sqrt(110)\/(1*sqrt(11)))).\nAnswer: 14*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 6*w - 3. Let g be p(5). What is the second derivative of 17 + o**4 + g*o - 17 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961592571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 24*m**2 + m - 8. Let t be s(12). Let k(d) = -d + 6*d - t*d. Let g(b) = 4*b. What is g(k(u))?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -o + 2*j, 0*o = o - j - 41. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 53b498?\nAnswer: 53b49c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 595, 616, 641, 670, 703?\n\"Answer: 2*o**2 + 15*o + 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17483 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, -1154, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 4021412?\nAnswer: 8042824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*i = 3*b - 4, -b - 4*i - 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.92 - -4.92. Let g = -52 - -362\/7. Which is the closest to -1\/3? (a) 0.4 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*u - 24 = 0, 4*c - 5*c - 12 = -4*u. Let l = c - -17. Suppose l*f - 102 = 2*f. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/4 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -242503 equal to -242511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let m(x) = 12885*x**2. Give m(v(f)).\nAnswer: 51540*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.37254 (b) 3\/5 (c) 23 (d) 2\/9 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 3\/2*p**2 + 5*p + 2. Suppose 0*x + 16 = -x. Let m(s) = 10*s + 16. Give x*a(d) + 5*m(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.057.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14) - (45\/(-21))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 19}. What is prob of sequence ttk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5500)\/3250)\/(8\/(-52)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3970469 times -310\nAnswer: -1230845390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3245 - -14?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -12. Let o(z) = 4*z - 3. Let l(w) = -7*w + 6. Let q(m) = -3*l(m) - 5*o(m). Let x be q(j). Solve -5 = p - x*p + 2*b, -2*b + 7 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/92114 and -57\/77.\nAnswer: 644798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229424 is divided by 4590.\nAnswer: 4514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32008 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a minute in seconds?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1194, -2385, -3550, -4677, -5754, -6769, -7710?\n\"Answer: 2*h**3 + h**2 - 1208*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.96 and 123713.\nAnswer: 1108468.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = 2*f, 3*f - 5 - 3 = 5*p. What is the remainder when 26*(6\/4)\/f is divided by 1\/(-3)*(-6 + -24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 35164487600*f**3 + 1512558080*f**2 - 3848889*f + 4761\/2 = 0?\nAnswer: -1\/22, 69\/56540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-12))\/(2\/3) - 6. Let w(m) be the second derivative of -m**5\/20 - m**4\/3 + m**3\/6 - 3*m**2\/2 + m. Calculate w(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85905026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 6. Let u be ((-1)\/(-3))\/((-5)\/15). Let x(y) = 1. Give u*c(o) + 4*x(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k - 46 = -403. Let t(d) = d**2 - 32*d + 191. Let u be t(k). Solve 14*y - u = 26 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4 - a**2\/2 - 12*a. Differentiate s(w) with respect to w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.74 - -0.36. Let x = 5303 - 5300.9128. Let q = x - f. Round q to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 8. Calculate j(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.4. Suppose -5*v + v = 2*c + 6, -4*c = -5*v - 1. What is the nearest to a in 13, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 33*v - 35*v + 31, 0 = 6*v + z - 51 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.6, -16.11 in descending order.\nAnswer: 0.6, -0.2, -16.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 11*y + 19. Let a be 21\/2 - 18\/12. Let t(x) = -x**2 + 12*x - 13. Let v be t(a). What is the units digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66d5 (base 14) to base 16.\nAnswer: -45a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/14*(-70)\/15. Let d be 0 + 2\/(8\/r). Solve 7 + d = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -16*p**5\/3 + 106*p**4\/3 + 938*p**3\/3 - 592*p**2 - 264*p = 0.\nAnswer: -6, -3\/8, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -82, 1, 0.27 in decreasing order.\nAnswer: 31, 1, 0.27, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00095802 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:35 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-1))\/(2\/18). Suppose i = -5*d - 1, -4*q + 12 = 4*d. Calculate the lowest common multiple of 16 and q*8\/60 - 104\/(-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (258\/301)\/((-15)\/(-175)) + -8*1\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (sqrt(5) - -3*sqrt(5))).\nAnswer: 15 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -19*a**2 + 11 + a**3 - 1230*a - 2*a**3 + 1243*a + 17*a**2. Determine m(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6*(-47904)\/2. Suppose -17*d = -9*d - m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108 + 55 + -47 + 58?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 1a26?\nAnswer: -1a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61141 is divided by 20321?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5\/3 - 88*i**4 - 1420*i**3 + 2560*i**2\/3 + 33488*i - 32832 = 0. Calculate i.\nAnswer: -38, -27, -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-16 - (31 - 25)) + (0 - 6))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 minus 2.664?\nAnswer: -2.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 53 + 60 - 4651*p**2.\nAnswer: -4651*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 - -0.34. Let u = -3.84 + 0.86. Let f = u + d. What is the third smallest value in -2, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 2 - 2)*(788 - 1213 + 698) + 5 - 3 - 1)*(-2 + w + 2)*(-1 - 3 + 5)*(-4 + 1 + 2) to the form m + h*w and give h.\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 42*q + 290. What is m(-3)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (14\/(-12) + 1). Suppose 45 = 5*r - 5*g, 799*r + g = 803*r - 18. What is the second biggest value in c, -0.4, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -550 or 1490?\nAnswer: 1490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + 3*sqrt(1331) + 4 + -4)**2 + 4.\nAnswer: -132*sqrt(11) + 11989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19526, -39054, -58582, -78110, -97638?\nAnswer: -117166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from faggg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 425 and 3266864075?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 456 = -o. Let h be o\/(-27) - (-4)\/(-18). Solve -2*j + h*n + 18 = 0, -4*j = -j + 4*n + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0 + 6*p**2 - 7\/6*p**3 + 0*p + 1\/24*p**4. What is the derivative of i(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 6*g**2 - 7*g + 5. Let s be b(4). Differentiate s - 5 + 0 + 8*v - 8 with respect to v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5, 11 = 3*x + 3*n - 4. Which is the nearest to -2\/5? (a) x (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 17539282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 2509 - 2509.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1017*h**2 + 25 + h**4 - 1015*h**2 - 205 to g*h**3 + k*h**2 + y + u*h**4 + a*h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002101012210 (base 3) to base 7.\nAnswer: -4625604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 <= -0.0166422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)\/h**0*(h**(-1\/4))**(17\/3))\/(((h*h**2*h)\/h**5)\/(h\/(h\/(h**(-1)\/h)*h))**(5\/4)) assuming h is positive.\nAnswer: h**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488121.\nAnswer: 3, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1084.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 14*v - 27. Let l be f(11). Let g(h) = -7*h - l*h + 13*h + h**2. Let j(c) = 20*c**2. Determine g(j(u)).\nAnswer: 400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)*a\/a**1)**(-1)\/(((a**(-3)\/a)\/a)\/a**(2\/21)*a**(1\/5)\/a**(-2)) assuming a is positive.\nAnswer: a**(274\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v - 12, -b = -4*v - 22. Let q(k) = -4*k - 38. Let w be q(-11). Calculate the highest common factor of b and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*j**4*v**2 + 10*j**4 + 3*j**3*v + 2*j**2*v**2 - 199*j**2*v - j**2 wrt j.\nAnswer: 480*j*v**2 + 240*j + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 11 = 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 16. Let w(p) = -p**3 - p**2 + 2*p - 3. Give w(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439830.8 kilograms in milligrams?\nAnswer: 439830800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 - -117. Let y = -226.1 + q. What is the second smallest value in 0.4, y, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 191 or 189?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**4 + 119*a**3 + 2*a**2 - 4553*a.\nAnswer: -12*a**2 + 714*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 71.26. Let c = l - -19.5. What is c rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-26*y + 27*y - 24*y)*(0 - y**2 + 0) + 383*y**3 - 2*y + 2*y - 206*y**3 + 262*y**3 in the form u*y**3 + a*y**2 + f + g*y and give u.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + v = -9, -7*a = -3*a - 3*v - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18502, -18773, -19512, -20953, -23330, -26877, -31828, -38417?\n\"Answer: -39*n**3 + 2*n - 18465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/3 - 15680910*m + 184418203821075 = 0 for m.\nAnswer: 23521365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 462897792 a multiple of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + g - 2*g)*((g + g - g)*(-3 + 4 - 3) - 4*g + g + 0*g + 2 - 2 + g) to the form s*g + i + d*g**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-1404)\/(-120))*-13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(-9 + 9 + 3*m) - 77*m - 5*m + 8*m in the form q + c*m and give c.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 350*f - 8830. What is x(22)?\nAnswer: -1130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let a(w) = w**3 - 4*w**2 - 6*w. Let y be a(5). Let h(n) = 6*n**2 - 5. Let x(q) = q**2 - 1. Calculate i*h(s) + y*x(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 834299753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8*o**(1\/54)*(o\/((o*o**(4\/15)\/o*o)\/o))\/o**(-7\/4))**9 assuming o is positive.\nAnswer: o**(5671\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 15*y + 28, 0 = 3*x - 5*y - 713 + 342 + 358 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10624403411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2629, 2795, 3083, 3499, 4049?\n\"Answer: j**3 + 55*j**2 - 6*j + 2579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2052*t - 4098*t + 2046*t - 30*t**2. Let n = -20 + 11. Let c be z(n). What is c rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h. Let t(j) = 8*j. Let u(w) = 6*m(w) - 5*t(w). Let g(n) = -n. What is u(g(a))?\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 13 + 30 + 17*s - 10*s.\nAnswer: -2*s + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/3 + 70*g\/3 + 1133 = 0. Calculate g.\nAnswer: -33, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/70 + 186\/5. What is the highest common factor of j and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 take away 4.41?\nAnswer: -6.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10*a + 18 = 0. Solve 5*z - 2*k = a*k + 35, -2*k - 8 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1465068 divided by -6.\nAnswer: -244178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.9. Let u be 5*(4 - 272\/70). What is the nearest to b in u, -0.5, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -94 and 46.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1093*a**3 + 7650 - 7650 + 218*a**3.\nAnswer: -875*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -208, -313, -418?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330260948 a multiple of 2980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 533 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -4 + -137 + 54?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5697610056 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 109987018 to the power of 1\/2, to the nearest integer?\nAnswer: 10487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*i**4 - 21*i**4 + 54*i**4 - 4*i + 4*i + 27*i**3 - 2 in the form b*i**2 + j*i + n*i**4 + m + s*i**3 and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -9, -22, -39, -60?\n\"Answer: -2*b**2 - 3*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054837542 to six dps.\nAnswer: 0.000548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + 4*b - 10*b)*(3*b - 26 + 26) - 3*b**2 + 3*b**2 + b**2 to f*b + y + u*b**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and 35264.88.\nAnswer: 1974833.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w. Let a = 2 + 0. Let r(g) = 10*g**2 - 13*g**2 + 2*g**a. Determine y(r(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/14)\/((-29984)\/(-448) - 67)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14279690 is divided by 257?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 6:43 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 262, 527, 1238, 2617, 4886?\n\"Answer: 37*q**3 + q**2 + 3*q + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/6 + 11\/(-36). Let k = z - 4\/9. Find t such that 1\/4 - 1\/2*t**3 + 2*t**2 + 3\/2*t - t**5 - k*t**4 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 271 - 270. Let v be 11\/(-9) + (-14)\/(-63). Let h be 1155\/63 - f*v. Which is bigger: 20 or h?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z. Let t(c) = 5*c**2 - 21*c + 2. Let y(g) = 5*i(g) - t(g). Let k(u) = -4*u**2 + u - 1. Calculate -3*k(n) + 2*y(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -172*d + 159*d - 112*d in the form i + v*d and give v.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/(1\/3). Let z = i - 3. Suppose 5*c + 29 = 9. Put 3, c, z in descending order.\nAnswer: 3, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 13*h - 10. Let x be f(-14). Suppose 0 = -3*n - 3*z, 10*z = x*n + 5*z. Is n not equal to -3\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65634*i - 65634*i - i**2 - 42 as h*i**2 + w + n*i and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 180 = 2*l. Let z = l + 33. Let p = -8 + 8.07. Sort p, 1\/3, z in descending order.\nAnswer: 1\/3, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*l - 458, 0 = -5*l + 7*h - 3*h + 1109. Let w = l + 52. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(sqrt(132)*-1*-2)\/sqrt(12))**2.\nAnswer: -12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9000260 divided by 7270\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14512 - -733?\nAnswer: 15445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 125.48, -3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/4))**(2\/7) assuming w is positive.\nAnswer: w**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 147, -58, -401, -882, -1501?\n\"Answer: -69*m**2 + 2*m + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411 + 1127 = 102*b - 3460 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 134 = 218. Calculate the least common multiple of 168 and h.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9))\/(6 - 154\/33).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -510\/7, 0.1, 439, 1, 2\/5.\nAnswer: -510\/7, 0.1, 2\/5, 1, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 12 + 29)*(-5 - 7*z + 5).\nAnswer: -168*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 3*r**2\/2 - r + 292. Let f(l) = -3*l + 1. Give 5*d(j) + 4*f(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/12 + 2404*u**3\/9 + 480799*u**2\/2 - 964806*u - 3836. Factor t(w).\nAnswer: (w - 2)*(w + 1203)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25922295 divided by 4?\nAnswer: -25922295\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11003 (base 4) to base 9.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1131*j = 1132*j. Factor 1\/2*y**5 + 0 - 1\/3*y**2 + 7\/6*y**3 - 4\/3*y**4 + j*y.\nAnswer: y**2*(y - 1)**2*(3*y - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5926022 to the nearest integer?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/89236 and -10\/749.\nAnswer: 9548252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 754 - 616. What is the highest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12347, -24695, -37005, -49277, -61511, -73707?\n\"Answer: 19*s**2 - 12405*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1047, -2110, -3189, -4290, -5419, -6582?\nAnswer: -7785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t. Let o be (-23)\/5 - 4\/10. Let j be x(o). What is the highest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 29 = 4*m, 3*v + 9 = 4*m + 6*v. Suppose 0*a + 6 = 2*a. Solve 0 = -7*g + m*g + a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 938?\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1439748*y - 5758986. What is b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlajlaaelglaajzal. What is prob of sequence lejz?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 7\/12120, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-4*i + 2*i + 4*i) + (0*i + i - 3*i)*(-1 - 3 + 3) + 3567 - 3567 - 185*i.\nAnswer: -187*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 497*m + 498*m - 32, -35*m + 69 = 9*s - 32*m for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9443 - 12376 = -21*r. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1796 and 4?\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7383, 7122, 6861?\n\"Answer: -261*w + 7644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i - 8*i + 40. Solve i*m + 11 = 5*z + m, -2*m = z - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 18 + 477 = 0. Solve 2*z + 2 = -3*g, 0*z + 3*g + k = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1250.5 - -1250.59659. Let d = p - 0.095. What is d rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -901*c - 916*c + 182*c + 65*c to a*c + u and give a.\nAnswer: -1570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7233 - 7236. Let u be (16\/24)\/(28\/18). Which is the smallest value? (a) -1 (b) u (c) -2\/55 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*m + 147*m = 15*w - 235, 3*m + w - 30 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3304 + -3?\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-4)\/(-850)*5*9\/(-27)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5)*3 + (sqrt(11) + 1)*6)**2 - ((sqrt(1100) + 3)*-3)**2.\nAnswer: -9054 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -16*o + 2. Calculate i(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*s + 10 = -14, -2*o = -5*s + 27. Let x be (o - 1)*(-2 - -1). Find the second derivative of -3*d + 0 + 2 - x*d**5 - 2 wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33966057 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*s - 24 = -7*k, -5*k - 6 = 4*s. Which is the nearest to k? (a) 1 (b) -0.02 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**5\/11 + 32298*x**4\/11 - 41582736*x**3\/11 - 5119919712*x**2\/11 = 0. Calculate x.\nAnswer: -113, 0, 2748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (77\/(-1232))\/((-3)\/(-12))*(-20)\/(-7)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -4*v. Let z be (-22)\/(-11) - (1 + v). Let d = -3 - -5. Solve w + 2*f = -z + 5, 0 = d*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0 - 5\/3*o**3 + 3\/2*o**2 + 2*o - 1\/24*o**4. Let m(f) be the first derivative of l(f). What is m(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f - 3. Let s be k(4). Calculate the highest common factor of s and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**4 - 11*i**3 - i**2 - 11*i - 11. Let c(j) = -j**3 - j - 1. Let s(w) = 22*c(w) - 2*m(w). What is the third derivative of s(p) wrt p?\nAnswer: 336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127917 is divided by 127711.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1804826687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2068394 = -3*l + 2068251, 2*l + 4*k - 138 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -0.3?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9606.046 millennia to years.\nAnswer: 9606046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2250 - 2243. Let j be ((-4)\/(-5))\/(2\/(-20)). What is the units digit of ((j - -1)*g)\/((-2)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 21*q + 103. Let i be p(-7). Suppose i*r - 4*z = -18, -3*r - z = -8*r - 12. What is the nearest to 1 in -3, -36, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16209?\nAnswer: 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*m - 8, -4*m - m = 3*r - 12. Let k(i) = 3*i**2 + m*i**2 - 4*i**2 + 4 + i**3. Suppose 2*d = d. Calculate k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 996 and 664.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67906 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(-4*p**2 + 3*p**2 - p**2) - 24*p**2 + p**2 - p**2 + 5 + p**2 - 5 + (2*p - 2*p - 2*p)*(-p - 1 + 1) to r*p**2 + v*p + o and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 925*p - 750. Let y(d) = -6*d + 5. Let z(i) = -c(i) - 150*y(i). Suppose -3*l = 2*l - 5, 2*a + 4*l + 2 = 0. What are the prime factors of z(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -25. Solve 2*l - 5*n = -12, -2*l + 4*n - 7 - 1 = q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - b - 26 = 0, 2*b = -r + 4 - 1. Let z = -13.09 - -0.09. Let m = z + 8. What is the second smallest value in m, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**3*s)\/s)\/s)**(-6\/17))**(-21))**(9\/14) assuming s is positive.\nAnswer: s**(162\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.856309 nanograms in milligrams?\nAnswer: 0.000000856309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000050385 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1760 and 1696.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/(2\/528). Let f = -143 - -55. Is f <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 656805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42 - 31 - (3 - (-6 - -5)). Let a(k) = -3*k - 7. Let r(t) = -4*t - 7. Let i(g) = 5*a(g) - 4*r(g). Calculate i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 557108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - -5. Let q = 22 - x. Solve d = -4*w + q, d + 7 = 2*w - 4*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*h - 4*h - 2*h)*(-2*h - 2*h**2 + 4*h - h).\nAnswer: -120*h**3 + 60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 + -162. What is the common denominator of (395\/(-120))\/(o\/4) and 47\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -14*v**3\/9 + 1361*v**2\/9 - 289*v\/9 - 194\/9 = 0?\nAnswer: -2\/7, 1\/2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5284\/(-29062)*22\/166.\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716.648ml in litres?\nAnswer: 3.716648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -59 + (95\/10)\/19. Is -58 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 13*w - 11. Calculate n(-18).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (sqrt(704) + -2*sqrt(704) + sqrt(704))**2 + 0)*-5 + 2.\nAnswer: -40*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 3, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 13. Calculate m(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 95792*n - 2202733. Give b(23).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 111, -5, 1320\/19.\nAnswer: -8, -5, 1320\/19, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*h - 18 = -0*l + 2*l, -127271*l + 127269*l - 108 = 6*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/606595 - -35182504\/1819785. Let 8 + a*g**3 + 18*g**2 - 80\/3*g + 22\/3*g**5 - 26*g**4 = 0. Calculate g.\nAnswer: -1, 6\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/111155 + 12672888\/22564465. Let m = g - 8\/29. Let n = -340472 - -1021418\/3. Which is the fourth biggest value? (a) 1\/4 (b) -3 (c) m (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 19*a - 13. Let f(w) = w. Let k(b) = -6*f(b) + y(b). Let d(p) = -7*p + 7. Let v be (-2)\/6 + 34\/(-6). What is v*k(c) - 11*d(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104353 is divided by 273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 156 and 302971989.\nAnswer: 302972145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/(2\/(-12)). Let t(n) = -n + 10. Let y be t(j). Suppose -3*o + 0*o = 3*f - 18, 4*f = 5*o + y. Solve -2 = -o*c + c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*4 + ((sqrt(119) - (-4*sqrt(119) + sqrt(119))) + sqrt(119))*-2)\/(-5*(2*sqrt(112) + sqrt(7) - (sqrt(567) + (sqrt(567) - -2*sqrt(567))))).\nAnswer: -2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0 (base 13) in base 12?\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/1045? (a) -4 (b) -1 (c) -2 (d) 13\/4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -47. Suppose p - m = -2*t, -3*p + 0*p = -5*t - 29. Let a be 4\/p + (-86)\/(-18). Is a != 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128\/7 - -131\/7. Factor 0 + 0*k**2 + 0*k - z*k**4 - 9\/7*k**3.\nAnswer: -3*k**3*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**5 + 10919*z**4 - 15528*z**3 + 645934*z**2 + 119*z + 2?\nAnswer: -120*z**2 + 262056*z - 93168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s**2 - 70*s**2 - 54*s**2 to m*s + p + d*s**2 and give d.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1683 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*s - 9. Suppose -h - s*h + 21 = 3*a, -5*h = -5*a. Let k = -10908 + 10941. Calculate the highest common divisor of h and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/105)\/((-2)\/(-2)*2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -427 or -1707\/4?\nAnswer: -1707\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.71 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 20. What is the smallest value in 4, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5) - 56\/(-5). Solve -6*v = -r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 11:47 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(56)\/(sqrt(32)\/sqrt(4) + sqrt(8)) + sqrt(21)\/sqrt(3)*1)**2.\nAnswer: -6*sqrt(7) + 79\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (63\/(-5) - -3)\/(6\/20) and 36\/41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**3 - 4*c**2 + 26*c - 228. Is 18 a factor of b(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2792 + -5305. Let j = 1758 + d. Let x = j + 3792\/5. Is x at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 11}. Give prob of sequence aqa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131602 or -131603?\nAnswer: -131602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + t + 10. What is the remainder when 17 is divided by d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.22 - 4.72. What is the nearest to 4 in b, -5, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 26 = 4*w, -5*s - 5*w = -4*s - 6. Let u(n) = n**3 - 7*n**2 + 6*n + 4. Let p = -9 + 15. What is the remainder when s is divided by u(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532 divided by -4105?\nAnswer: -1532\/4105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 28 - 0. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/5)\/((-11)\/(-275)*20). Let x = -0.8 + -0.2. Which is the nearest to m? (a) 1\/2 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 47*k - 130. Let t be 83\/2 + (8 - (-44)\/(-8)). Let v be y(t). Let p = -10 - -14. Solve 5*u = 2*x - p, -u + v*u + 3*x + 11 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/12 and -149\/220836.\nAnswer: 220836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4677*a**2*l**3*p**3 - 69*a**2*l**3*p + a**2*l**2*p - 6581*a**2*p**2 - 2*l*p**3 wrt l?\nAnswer: -28062*a**2*p**3 - 414*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bdobuzoomzbuzzzbmzo.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -307 divided by 425\nAnswer: -307\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.33 + -0.42. Which is the third biggest value? (a) -0.2 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5))**(-3\/14)*(i**(5\/6)\/i)\/(i*i**(3\/5)) assuming i is positive.\nAnswer: i**(-38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105665697*r**2 + 115395597*r wrt r?\nAnswer: -211331394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(40\/4)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 7 = y, 3*q + 10 + 6 = -4*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(5\/2)*f\/f**(-2\/11)*f*(f**(-3)*f*f*f*f)\/f*f**(-4) assuming f is positive.\nAnswer: f**(-73\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 3)\/(-7) + 8\/6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64130879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5 + 20*w**4 - 66*w**3 - 788*w**2 + 64*w + 768 = 0. What is w?\nAnswer: -8, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6043115*x**3 - 5937319*x**2 wrt x.\nAnswer: 36258690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + 4*a. Let x(o) = 5*o**2 + 7*o. Let y(q) = -7*r(q) + 4*x(q). Let s(p) = -1874*p + 25*p**2 + 1874*p. Calculate s(y(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 5, z: 3}. Give prob of sequence zs.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.239 (b) 6 (c) -2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 21055*t**2 + 316036*t + 294980.\nAnswer: -(t - 21070)*(t + 1)*(t + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*a - h, -3*a = -h - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(1\/8))*h*h\/(h\/(h*h*h*h*h**(-7)*h*h)))**(-1\/18))**19)**(-2\/31) assuming h is positive.\nAnswer: h**(-19\/2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-0.2731.\nAnswer: 0.040965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.29 + 0.61. Let q = -6.89999943 + i. What is q rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 767105.8 millilitres?\nAnswer: 767.1058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:12 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 11 = -3*y, -4*y + 11*r = 10*r - 17. Let x be 3 + (26\/(-39) - 1\/y). Factor -2\/11*n**3 + 0*n + 0 - 4\/11*n**x.\nAnswer: -2*n**2*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 9, 2\/23, 1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zikhczc. Give prob of sequence hz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1018.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -19, -2\/3, 28, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*b**2 + 2*b - 42*b**2 + 0*b + 94*b**2 + 26*b**2.\nAnswer: 160*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23, 158498 in descending order.\nAnswer: 158498, 5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -264.6109*30\nAnswer: -7938.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4981167238999 - -2?\nAnswer: -4981167238997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -84378*k**5 - 253694*k**4 - 1672*k**3 + 24*k**2 = 0?\nAnswer: -3, -2\/147, 0, 2\/287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {b: 1, c: 6, e: 9, o: 1, j: 2}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*r + 24 = 0, 2*r - 64 = -5*v + 5*r. Let l = -10 + v. Suppose 2*s - 5*j - 61 = 0, 2*j + 44 = 3*s + l*j. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227758 is divided by 22769?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(1*sqrt(833) + sqrt(833)))**2*-5 + 3.\nAnswer: -16657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*k + 29*k - 14531 + 14540.\nAnswer: 66*k + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 5*d**2 - d + 8. Let t be z(-6). Let k = t - -4. Suppose -5*a - 4*i + k = 0, -3*a + 11 = 5*i - 11. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 358254\nAnswer: -1\/13779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*o - 10, 4 = 2*o - 2*q - 0. Let p(m) be the first derivative of m + o + 1\/3*m**3 - 5\/2*m**2. Give p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1152 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 1, -3*m + 82 = m - 2*z. Calculate the greatest common factor of m and 1281.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 + -3 - 47) + -11\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (0 - 1) - -2. Let h be ((-6)\/(-5))\/(6\/(-24)) + 912\/152. What is the closest to c in 5, -0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 57. Let l(d) = -16. Let t(b) = 18*l(b) + 5*s(b). Let j(g) = -g + 3. Determine 2*j(y) + 3*t(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 300 = 9*l. Let d = l - -63. Solve -d*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19640794697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.232311511 rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -95 - (30 + -87).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.8 - -10.83. Sort 0.4, n, -5.\nAnswer: -5, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11057 + 12212 = 3*j. Calculate the remainder when j is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-772)\/(-204) - (-3)\/9) + -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1. Suppose 0*c = -2*n - 4*c - 18, 3*n - 4*c = -37. Let l = n + 12. Let y(v) = -v**3 + v**2 - 4*v + 6. Give l*y(z) + 4*q(z).\nAnswer: -z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 6*j**2 - 7*j + 10. Suppose 0 = -8*v - 12 - 44. What is p(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*d + 284*d = 7200 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + i - 68 = -78, -3*i = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 20. Let p = 4 + d. Let g = p + 13. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1865 + -1852. Solve -84 + 45 = -o*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -582.10753314055?\nAnswer: -581.80753314055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 7) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w**2 - w - 1. Let g(o) = 33*o**3 + 3*o**2 - 3*o - 3. What is 3*b(p) - g(p)?\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94.81593965478 from -3.\nAnswer: -97.81593965478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*y - 1402 = -114*y + 2930. What is the highest common divisor of y and 43073?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63434171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 10*q**2 - q + 1. Let a be 6\/3 + -5 - (1 + -4). Suppose 0 = 5*o - 3*f - 32 - 18, a = -2*f. Let z be v(o). Let u(r) = r + 16. Determine u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (1 - (4 + -6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*n + 54, 4*n + 108 = -3*w - 0*w. What is n rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 317238624 by -79309656.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**5\/20 - 5*j**4\/4 - 5*j**3\/2 - 3*j**2 + j. Let h be k(-14). Let o(f) = 5*f**2 - 22*f + 17. Is o(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25388108 by 875452.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/22011 and -103\/24?\nAnswer: 176088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6. Let d(q) = q**2 + 6. Let x(n) = n**2 - 6*n + 3. Let u be x(4). Let z(y) = u*d(y) - 4*a(y). Differentiate z(i) wrt i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.159 (b) -0.4 (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14321, 28554, 42787, 57020?\n\"Answer: 14233*z + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 465, 580, 759, 1002, 1309?\n\"Answer: 32*n**2 + 19*n + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116811811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 53701 + 8418 = 3*k, -3*p = -5*k - 186301. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10623765 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + (-3)\/84. Let n = 10441.4 + -10440. What is the closest to 1 in n, c, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Let z be ((-3)\/(-3) + -1)\/(-2). Suppose j*v - 42255 - 128745 = z. Round v to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((4*sqrt(374) - sqrt(374) - sqrt(374)) + sqrt(374))\/sqrt(11))\/sqrt(2) + 5 + (sqrt(833) + -3)**2).\nAnswer: -5082 + 234*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 31. Let i(f) = -85*f**3 - 5*f**2 - 12*f + 2. Let h be i(j). Let m = h + 4610. What is m rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*x + 33, 2*x + 27 = 2*f - x. Suppose 6*t = 2*t + 16, -w - 3 = -2*t. Suppose w*g - 101 = 9. Calculate the smallest common multiple of g and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 820.2 - 984. Round v to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-8) - 560\/5760.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 24 = -3*b + 2*b, h + 1 = -4*b. Let v be 16\/6*b\/(-2). Sort -3, v, -0.5 in descending order.\nAnswer: -0.5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 35, -5, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 12. Let r be m(10). Suppose -52 = -2*a - j, -4*a + 2*j + 104 = -r*j. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.477 and 1.\nAnswer: -0.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -549107*-1\nAnswer: 549107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (474\/(-948))\/(1\/34).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -16*r**2. Let a(x) = 19*x**2. What is a(l(z))?\nAnswer: 4864*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from fsfrffqfrr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4121406 or -16485625\/4?\nAnswer: -16485625\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -124*y + 2. Let b be g(-4). Suppose -6 = -4*a + b. Let d = 289 - a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/(-44)*(-60)\/315*6*(-15)\/(-530).\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-30))\/(288\/(-64))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6 - (120\/(-18) - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j + 14 = 4*c, -c = -4*j + 7. Suppose 3 = t - j. What is the remainder when t is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3 - 8*h**3 - 14*h - 12*h wrt h.\nAnswer: -66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3147.114mg to tonnes.\nAnswer: 0.000003147114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*t**3 + 1935*t**2 - 1281*t + 213.\nAnswer: -3*(t - 71)*(3*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**4 - 5*p**4 - 5*p**3 + 1759*p - 1696*p - p**2 in the form g + x*p**4 + v*p**3 + s*p + n*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.029 minus 0.2?\nAnswer: -5.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 477050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1\/2 (c) -0.39 (d) 1\/37 (e) -0.4 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*q**3 - 4*q**3 + 4*q**3 + 5*q**3 + (-2*q**3 - 2*q**3 + 9*q**3)*(2 + 3 - 7).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8071*j**3*x**3 + 406*j**3*x + 5*j*x**3 + 17*j*x**2 - j + x**2 - 103740*x wrt j.\nAnswer: -48426*j*x**3 + 2436*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85 + 56 - 82)*(4 - 3 + 1)*(4*x**4 - x**4 - 5*x**4) to the form f*x**2 + s*x**4 + q*x**3 + d + z*x and give s.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2206.176853 to 1 dp.\nAnswer: -2206.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 4*k**2 - 2*k + 3. Give a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1167, -4683, -10549, -18771, -29355, -42307?\n\"Answer: -n**3 - 1169*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9\/2 + 85\/18. Let c = 45 + -50. What is the third smallest value in -1\/2, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 3757, -4, 5, 2 in descending order.\nAnswer: 3757, 5, 2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -265621?\nAnswer: 265626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -3*g - 26, -279*g + 291*g - 2*m + 14 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 0, -101 in increasing order.\nAnswer: -101, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/3 + -7\/3. Let z = -2 + -11. Let n = z + 9. Put n, q, 5 in decreasing order.\nAnswer: 5, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-3 - -5)) + (0 - (-2 + 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 1565 = -8*i. What are the prime factors of i?\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36554\/25 at least -1463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3215219.291 to the nearest 100.\nAnswer: -3215200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-20)\/g*g*g)\/g)*g*g**(-5\/4)*((g\/(g*g**19\/g))\/g)**(1\/32))**(-2) assuming g is positive.\nAnswer: g**(-645\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {a: 7, v: 4, m: 3, n: 1, i: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tatataattatt. Give prob of sequence ta.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*3*sqrt(1573) + -2*sqrt(1573)*2)*5*-4.\nAnswer: 1 + 220*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 24*f - 10. Let j be v(11). Let l = j + -8. Solve -3*p + 4 = -l*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 + 145.05. Let f = 0.05 - i. Let l = f - 2.9. What is the smallest value in l, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13*z + 1. Determine v(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 26. Solve 0 = -4*v + 4*i + 11 + z, i + 2 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11038 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 838104?\nAnswer: 838104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1061, -2035, -2993, -3941, -4885, -5831, -6785, -7753?\n\"Answer: -h**3 + 14*h**2 - 1009*h - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -2759.9096643\nAnswer: -2783.9096643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = f. Suppose -4*l + 3*c = 7, -c - 9 + 4 = -f*l. Suppose -l*z + 4 + 4 = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -332\/55, 0, 2, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29996\/(-3)*(-16866)\/12. Let s = c + -21653126. What is s rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5308*f**3*m**2*x**2 + 2*f**3*m*x**2 + 2*f**3*x**3 - 5*f**2*m**2*x**3 - 2*f**2*m**2*x**2 - 69*m*x**3 wrt x.\nAnswer: 12*f**3 - 30*f**2*m**2 - 414*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 17, -2, 8298, -1 in ascending order.\nAnswer: -2, -1, 5, 9, 17, 8298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 0. Suppose 4*i - 22 = d*i. Let j = -28 + 72. Calculate the highest common divisor of i and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 1. Let k be h(-1). Let g be (-19)\/(-114)*(1 + k). Let r be (-2)\/(-3)*12\/8. Put r, 4, g in decreasing order.\nAnswer: 4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18a56 - 1?\nAnswer: -18a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 326*c + 499. Is z(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771511987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 1\/150*a**6 - 4\/5*a**2 + 2\/15*a**3 + 1\/10*a**4 - 1\/20*a**5 + 17*a + 0. Suppose s(n) = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18593.41 - 18776. Let b = j + 184. What is b rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 6*p**2 + 18*p + 1. Let l be f(-2). Suppose -1434*z**5 + 14*z**3 + 1430*z**l - 11*z**2 - 13*z**2 + 6*z**3 + 8*z**4 = 0. Calculate z.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6474\/83)\/2808*-8.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1379582, 5518274, 12416096, 22073048, 34489130?\nAnswer: 49664342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1489676 and 7.\nAnswer: 10427732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**2\/2 + 2*z - 9. What is c(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**4 + 49*w**3 + 92*w**2 - 36*w = 0.\nAnswer: -2, 0, 1\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362291.5 rounded to the nearest ten thousand?\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, y: 1, j: 1, m: 3, c: 4, a: 1}. Give prob of sequence cem.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5489631 and 2370?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 187*n - 147. What are the prime factors of q(-80)?\nAnswer: 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1911746607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/6*16\/(-10). Let r be (40\/150)\/(u\/10). Let m = 3 - 2.7. Sort 0, r, m in decreasing order.\nAnswer: r, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02181142571 rounded to 5 dps?\nAnswer: -0.02181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*k = 333*k - 328. Let u = -248 + 453. What is the highest common divisor of u and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -16*y + 6. What is i(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyrtttrt. Give prob of picking 2 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1179572, 2359077, 3538578, 4718075, 5897568, 7077057?\nAnswer: 8256542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10164 and 3828?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 4*p**2 + 2*p + 3. Let k = 167 - 164. Let j be s(k). Factor 0 + 0*u**2 + 1\/3*u**3 + j*u + 1\/3*u**4.\nAnswer: u**3*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (-4)\/(-8))*132\/(-165). Solve 3*z - z + t*b = 16, 35 = 4*z + 5*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(57)\/sqrt(3) + sqrt(19) + 5)*5)**2*5.\nAnswer: 180000*sqrt(19) + 1480500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22371 (base 12) to base 14.\nAnswer: -127c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -1 - -1) + -22 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j - 12 = 0. Let a(k) = -2 - 1629*k + 1631*k + 0. Let h be a(j). Solve h*g = 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 2*a + 6 = 0, -5*w = -a - 9. Suppose 5*r = -2*x + 120, 5*x = 2*r - 21 + w. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1674012 = -5*o - 3*w, -3*o - 5*w = -2511020. What is o rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/5 + 18*n**4\/5 - 724*n**3\/5 - 4718*n**2\/5 - 7197*n\/5 - 644 = 0 for n.\nAnswer: -35, -4, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*w**2 + 264*w**2 + 268*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -2\/5 (c) 5 (d) 95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -54.\nAnswer: 7\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-28)*7 + 6. Solve -s*g = 5*v + 10, -g + 12 = -2*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.023 and -5361.846.\nAnswer: -5361.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 + 138 + -61 + (-1 - -38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 != -307\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33434 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37254, -74520, -111800, -149100, -186426?\n\"Answer: -w**3 - w**2 - 37256*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*q**3 + 6*q**2 - 23*q**3 - 6*q**2.\nAnswer: -188*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 11*k + 1806. Let r = 129 - k. What is the nearest to r in -4, -2\/17, 3\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90594548 is divided by 44562.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89829 times -486.6?\nAnswer: -43710791.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5106 - 5100. What is the least common multiple of 118 and o?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -114, -145, 10, 435, 1214, 2431, 4170?\n\"Answer: 14*l**3 + 9*l**2 - 156*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 630619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 11664 = 3*x + 459, -3*f = 0. Is x a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 28 (c) -0.4 (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*m + 2, 0 = 3*w + 3*m - m - 2. Solve 42*j - 40*j = w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*n**3*q*u + c**3*n**3 - 4*c**3*q**2 + 2*c**2*n**3*q**2*u + 4*c**2*n*q**2 - 2*c**2 + 4*n**3*q wrt c?\nAnswer: 12*n**3*q*u + 6*n**3 - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 259, 956, 2321, 4576, 7943, 12644, 18901?\n\"Answer: 37*x**3 + x**2 - 11*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/19)*f**(10\/3)*f)\/(f\/(f**(-2\/11)\/f))**3 assuming f is positive.\nAnswer: f**(-1321\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 25*u**4\/24 + 23*u**3\/3 - 89*u**2 - 2*u. What is the remainder when d(6) is divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -7, 5, 1\/10 in descending order.\nAnswer: 45, 5, 1\/10, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 14\/3, -1, 16 in decreasing order.\nAnswer: 16, 14\/3, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 100 = 4*l. Suppose -15 = -5*o - 5*b, 0 = 4*o - o + 5*b - 3. Let a = 15 - o. What is the remainder when l is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81632 is divided by 343.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.812, -3, 5, -1099, 3 in increasing order.\nAnswer: -1099, -3, 1.812, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -22281826881?\nAnswer: 22281826879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483, -3234, -7811, -14208, -22419, -32438, -44259?\nAnswer: -57876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 88 - 140)*(-2*d - 3*d + 6*d) - d + 3*d + 0*d.\nAnswer: -232*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(12\/63) - 1. Let y = 81\/4 - f. Let q = 12.43 - 12.13. Put y, -1, -4, q in descending order.\nAnswer: q, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -84 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 1165?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:08 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d + 33. Let a = 58 + d. Calculate the remainder when a is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1739 (b) 1 (c) 2\/5 (d) 0.5 (e) -2\/3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5728 + -5724. Let o be 2\/(-3 + (-6)\/(-1)). What is the closest to o in 1, x, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 - -1001111?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 21.009. Round b to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3.6. Let f = 93 - 93. Let n = 173\/255 + -1\/85. Which is the nearest to f? (a) -5 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 9*q**2 + 6*q + 3. Let g be k(-5). Let f be 1*(2 + 72) + g. Let s = f - 50. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4*n**3 + 2*d**4 - 3630*d**3*n**3 + 519*d**2 + d + 5*n**3 wrt d?\nAnswer: -24*d*n**3 + 48*d - 21780*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-6) - 1\/3. Let y be (-2)\/h - 4\/(-10). Suppose a + a + 10 = y. What is the second biggest value in 2, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13*r - 2. Let z(h) = 2 - 14 + 11 - 2*h - 5*h. Calculate -3*q(c) + 5*z(c).\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c**2 - c - 17. Let h(g) = -3. What is 6*h(m) - p(m)?\nAnswer: -10*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2525.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - ((-4 - -1) + 6)) + (-9 - -18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 254)*(-11094)\/(-15). Let a = 7 + -4. Suppose 1948610 = -4*v - a*r + m, -5*r - 20 = 0. Round v to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 12:22 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 508190008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 - 292. Let b(k) = -k + 11. Determine b(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) -2 (c) 14 (d) 0.6 (e) -0.07 (f) -3 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 4*p**2 + p - 10. Let s be o(7). Let r = -158 + s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5 + 99687*p**4\/2 + 48751595*p**3 - 563191185*p**2\/2 + 367898202*p + 110335824 = 0?\nAnswer: -948, -1\/4, 3, 25864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257.4208478 + -36450.9483222. Let z = v - -36708. Let r = z - -0.37. What is r rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/11 + (-6)\/(-33). Suppose -43*a + 50*a - 7245 = b. Calculate the greatest common divisor of 45 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3697594 is divided by 869?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wokrkdwroojo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhbbhhbkhvhkbpbhb. Give prob of sequence hh.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c - 2. Is 7 a factor of k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 132\/24 - (-1)\/(-2). Let s(k) = k**2 - 5*k - 2. Let o be s(i). Let u(q) be the second derivative of -2*q**3\/3 - q**2\/2 - 2*q + 3. Give u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316*440\/3168 - 2\/90*5.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -51. Let q(s) = 11*s**2 + 1. Calculate q(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 762602692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**8*i*i**(1\/13)*i**2*i**(-1\/4)\/i)\/((i*i**(1\/3))**(2\/7)*i**(-1\/3)*i**3) assuming i is positive.\nAnswer: i**(9587\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 36*f**2 + 17*f - 67. What are the prime factors of p(30)?\nAnswer: 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5971846\/57 + -104772. Let m = -7\/114 + t. What is the common denominator of m and (3\/(-3))\/((-6)\/(-137))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606.4038l to millilitres.\nAnswer: 606403.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbybywbrbbwbbwyyy. What is prob of picking 1 r and 3 y?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + s + 0*s + 1 + s**3 - s as a*s**3 + u*s + k + t*s**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/12 - 7*q**3\/6 + 4*q**2 + 2*q. Let w be y(6). What is the third derivative of 3*z**2 + z**4 - 6*z**2 + 5*z**w wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14495687 or 14495689?\nAnswer: 14495689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 15 = 2*x - g, 55 = 3*x - 5*g. Suppose 2*y + x = 4*y. Let c(w) = w**2 - 3*w - 7. Does 3 divide c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - (-3 + 6 - 5)) + 5. Solve -5*p = 3*a + m, -a - 3 = -2*p - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.093 - 3.25. Let u = 0.143 - g. Which is the nearest to -1? (a) -2\/3 (b) 0.9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35556741 and 2855?\nAnswer: 177783705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rere when four letters picked without replacement from {r: 3, e: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:25 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l**2. Let f(a) = -2*a - 5. Let p(z) = 4. Let g(d) = -9. Let n(o) = 3*g(o) + 7*p(o). Let u(b) = -f(b) - 5*n(b). Calculate r(u(v)).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 31 = -3*f + 259, 4*f + 4*w - 392 = 0. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1008) + 0)**2 - (-1*sqrt(7) + -1)*-4.\nAnswer: -4*sqrt(7) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 288, 564, 828, 1074, 1296, 1488, 1644?\n\"Answer: -j**3 + 283*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102535420 by -260.\nAnswer: -394367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from xjjxxj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033506 to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**(-3\/2)\/(g**(-1\/8)\/((g\/g**5)\/g)) assuming g is positive.\nAnswer: g**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1546452 and -65\/7992.\nAnswer: 3092904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146.5 - 146. Let h be 0 - (-18)\/(-22) - -1. What is the nearest to 0 in i, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/(((-51)\/(-17) - -1)\/(-1))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 17.0432. Let t = 0.0431538 + d. Round t to six decimal places.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 111963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 53*k + 79. Determine i(-51).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*a**2 + a**2 + 0*a**2 + (7*a - a**2 - 8*a + 8*a**2)*((-45 - 19 - 10)*(-4 + 1 + 4) + (-3 + 5 - 4)*(-1 - 3 + 2) - 1 + 3 - 3).\nAnswer: -484*a**2 + 71*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/2 + 36*h. Let m(g) = 2*g**2. Give m(k(z)).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19275 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffvfvfvf. What is prob of sequence ff?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*f - 2326*f = 259*f - 10798 - 135392 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 108 = -5*g. Suppose 9*f - 4*f - 168 = z, g = f + z. Let r(v) = -2*v + 47. Let c be r(6). Which is bigger: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1214 + -512. Does 39 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + n + 55 = -4, -5*d = -5*n - 115. Suppose d*w + 1852 = 10762. Suppose -5*c = -4040 - w. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-4 + (-39045)\/(-9760))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*g, -13*d + 12*d - 2*g = 6. What is m in 1\/3*m - 1\/6*m**4 + 0 + 0*m**3 + 1\/2*m**d = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 179 = 4*g, -4*g = -2*a - 76 - 98. What is the remainder when g is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1027.17 and 114.3?\nAnswer: -117405.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 22*p = 462. What is the highest common factor of p and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -18*t**2 - 6465*t + 46072. Calculate j(7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {h: 9, y: 2, z: 4, v: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (17 + 2) - -6) + (-46 - -86)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (1 - (0 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v - 23. Give r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949085 is divided by 159?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*i + 20 = -6*i, -5*i = 0. Let b = 67 + 73. Let x = -62 + b. What is the remainder when x is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -4, 61, 8\/9, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10011210222 (base 3) to base 5\nAnswer: 4000213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 * 0.2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.257453245 minus 4?\nAnswer: -7.257453245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/848*7417526\/(-188). Let w = h + 42\/2491. Let j = -174 + w. What is the common denominator of -57\/10 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310070145 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 17807 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 72\/42*(-337127)\/(-25497)\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/30 + 2817\/135. Let d = 298 - 263. What is the greatest common divisor of i and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 16*t + 15. Let z(o) = o + 1. Let m(h) = 2*l(h) - 26*z(h). Calculate m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + 33. Is r a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/12)\/(2\/10). Let f = 1 + -18. Let u = -12 - f. What is the nearest to -0.1 in -0.2, y, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*a - 34, -5*v = -2*a - 1 - 4. Suppose a*h = 4*h + 3. Let i(l) = 0*l**2 - l**2 + 0 + 1 + l. What is i(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 - 2*y**2 - 8*y - 5. Let l(a) = 13*a**3 + 6*a**2 + 25*a + 18. Calculate 7*i(v) + 2*l(v).\nAnswer: -2*v**3 - 2*v**2 - 6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 11*l**2\/2 + 4659*l\/2 + 123287 = 0.\nAnswer: -3977\/11, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = -59 + 420. Suppose 125 = -c*i + 125. Solve i = -2*k - 8, -k - k - 24 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**3 - 11*h**3 + 17*h**3 + (4*h**3 - 2*h**3 - h**3)*(1 - 5 - 4) - 10*h + 10*h - 8*h**3.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 487 + -510 + -14 + 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 14*a**5 + 12*a**4 - a + 185. Let h(z) = 29*z**5 + 26*z**4 - 2*z + 371. Let i(w) = -3*h(w) + 7*l(w). Find the second derivative of i(j) wrt j.\nAnswer: 220*j**3 + 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569155.49ms in weeks?\nAnswer: 0.002594503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*y - 134 = 0, 4*b + 9*y - 119 = 6*y. Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.448 - 2186383531.\nAnswer: -2186383525.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -3\/2, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147 - 144 - (-9 + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = -3. Suppose 4*b = -7*b + 1276. Calculate the remainder when b is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*s**2 - 3*s**5 + 1071 - 1071 wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195 + -275. What is the lowest common multiple of (z\/(-15) - 5)*6 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:16 AM?\nAnswer: 79","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2 - 1. Let s(z) be the second derivative of -z + 1\/6*z**m - z**2 + 0. Determine s(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5728405 is divided by 572813.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -772b9?\nAnswer: -77302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63.873 - 0.127. Let f = -5583 + 5643. Let g = f + l. Which is the second smallest value? (a) g (b) 9 (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 2, i: 2, z: 6, j: 4, r: 1}. Give prob of sequence kzz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 2*a + 617 - 614, -4*i = 4*a + 28 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(50) - sqrt(150)\/sqrt(3))*4)\/((sqrt(30)\/(sqrt(15)\/sqrt(5)) - sqrt(10) - sqrt(10))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -5*w - 50. Let d = 29 + w. What is the greatest common divisor of 2 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1809 - 1824.588. Let c = t + 0.088. Round c to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x + 5. Let w(v) = -191*v + 1910. What is 382*o(d) - w(d)?\nAnswer: 2101*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41455 or -2?\nAnswer: -41455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -38*j + 3088. Let k be a(81). Solve 42 = k*i + 62 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4 + 40962517*j**3 - 11*j**2 + j - 548392?\nAnswer: -24*j + 245775102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/11 or -2?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100010000101011111101 + 1?\nAnswer: 110100010000101011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426996 is divided by 475649.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwswnnsw. Give prob of sequence sww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 6:34 PM?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 2*r**2 - 10*r + 8. Determine q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5774 divided by -2887\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1205 = -o + a, -1208 = -o + 10*a - 6*a. What are the prime factors of o?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 18. Let t be h(-14). Suppose -123 = -3*i - 3*m, 4*m + 51 = i + t. Let j = i + -27. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*k = -5 + 97, 0 = -4*m + 3*k + 73. Calculate the remainder when 50 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36468\/1044 + -40 + 10\/2.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Let t = 10 + -15. Put m, t, 0 in descending order.\nAnswer: m, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49619324 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12753\/12099 - (156\/(-18) + 9)*(-1 - -4).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let g be t(-1). Let d be (11\/(-10) - -1)*-2. Let f = -2.9 + -1.1. What is the nearest to g in 0.5, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58660 is divided by 278.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*x = -2, 8*t - 4*x = 3*t - 1. Let v be (t - -4)*3\/3. Suppose -f - 16 = -v*f. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 7*b - 5. Suppose 3*h = -2*y - 6, 0 = 3*h - 4*y + 21 + 3. Calculate n(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 11*l + 16. Let a be k(12). Let c = -5 + 9. What is the highest common factor of c and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 702 - 492. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216*v**3 - 209*v**3 - 102*v**5 - 3*v + 631*v**3 - 210*v**3 - 331*v**2 + v wrt v?\nAnswer: -6120*v**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 - 10120*p**2 + 3676*p**2 as w*p**2 + u + c*p and give w.\nAnswer: -6444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 + 5*u**2 + 169*u**3 + 7*u**2 - 1556*u + 1556*u - 17*u**2.\nAnswer: 169*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (548\/7809)\/((-104)\/(-76)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 450 + -446. What is the biggest value in l, 0, 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 22 = -n, 61*n - 6*m = 64*n + 24. Solve 5*j + 4*s = 2*j + 6, 0 = 2*j + n*s - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 26*l**2 + 26*l + 29. Let s be d(-25). Let w(g) be the second derivative of -1\/3*g**2 + 1\/18*g**3 - s*g + 0 + 1\/36*g**4. What is c in w(c) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -11 - ((11 - (-39 - 10)) + -8) - 3.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -139606.598 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(6\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 593.535 years?\nAnswer: 59.3535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*x**2\/5 + 12*x\/5 - 112\/5.\nAnswer: 2*(x + 2)*(17*x - 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 14*t + 810. What is the hundreds digit of y(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 9 = -0*h, -5*r + 107 = -4*h. Let z = r + -10. What is the highest common divisor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*q - 6*r - 5, -3*r + 35 = 2*q. Let x(o) = 2*o - 10. What is the least common multiple of x(q) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43423645, 43423644, 43423643, 43423642?\n\"Answer: -k + 43423646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 217.9*-14\nAnswer: -3050.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 216*i + 81*i - 6.\nAnswer: -135*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a*o**3*w**2 - 5749*a*o**2*w**4 - 2*a*o*w - 1137*a + 155*o**3*w**4 + 2*o**3*w**2 wrt w?\nAnswer: -137976*a*o**2*w + 3720*o**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26\/323 - -635\/3876. Is y bigger than -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12247076 + -5?\nAnswer: -12247103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b - 4678?\nAnswer: -463a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 + 2*w**2 - 24*w - 2. Let r(q) = -5*q**3 - 4*q**2 + 27*q + 4. Give 2*r(h) + 3*y(h).\nAnswer: 2*h**3 - 2*h**2 - 18*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -597? (a) 5 (b) 2\/21 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3805 + 8861. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154393620 by 51464540.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 400 - 6*q + 51*q + (2*q - 4*q + 4*q)*(-2 + 3 - 2))*(4*q - 4*q - q**2).\nAnswer: -43*q**3 + 441*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m**2 - 3435*m + 40073. What is i(252)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 2*p + 0*p)*(-45 + 295*p - 68*p + 39 + 242*p) to the form d*p + q + n*p**2 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783731?\nAnswer: 13, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 + 0.35. What is the nearest to 0 in -4, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/16608 and -7\/40.\nAnswer: 83040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5578\/15 + -372. Which is the third biggest value? (a) -3 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Let s = 0 + d. Let q = 13 + -53\/4. What is the closest to s in 4\/7, q, -0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -488 + 538. Is z a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 8268?\nAnswer: 826c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -63. Let f(d) = -3*d - 1. Let c(o) = 7*o + 3. Calculate p*c(q) + 5*f(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - n + 3*s - 15, 5*n - 35 = -5*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*o - 78*o + 3312 = 0 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 2193, 4156?\nAnswer: 6119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/550)\/((-2)\/5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 + -a?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/10850 and 79\/3968.\nAnswer: 694400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*o = 381*o - 588. What is the remainder when 166 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1286*o**2*v**2 + 3*o**2 + o + 259*v**3 + 43408 wrt v?\nAnswer: 2572*o**2*v + 777*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276035819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -2564.9 and 27803.55.\nAnswer: 25238.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 628877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -44895 from 8.\nAnswer: 44903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27515 is divided by 1718.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 41, -267, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/11088*(-24)\/15.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227433, -454866, -682299, -909732, -1137165, -1364598?\nAnswer: -1592031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 19*u**2 + 141*u + 34. Calculate y(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2945 and 13796185.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 - 181*m - 182 = 0 for m.\nAnswer: -1, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/274988 and 127\/7084.\nAnswer: 3024868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 99583.4 millimeters?\nAnswer: 99.5834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y*y*y**(-3\/13))*y))\/(y\/(y*y**(5\/9)*y*y)))\/(y**(-1\/13))**(-2\/81) assuming y is positive.\nAnswer: y**(4552\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 7*x + 5. Let r be d(-7). Suppose -r*o - h = -5, -4*o - 5*h - 17 = -0*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 1598?\nAnswer: 15a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -19*f + 285. Let c be -8 + (12 - (-21)\/7). What are the prime factors of t(c)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 7*m**2 - 10*m + 5. Let r be s(-8). Suppose p - 18 = r. Suppose 3*a - 15 = 4*i, p = 4*a + a - 2*i. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7254724539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 9*h**2 + 12. Let d = 11 - 2. What is the least common multiple of -1 - 2*(-57)\/6 and l(d)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.4 to zero decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 62*y + 18. Let h(s) = -11*s - 3. Let w(n) = -11*h(n) - 2*o(n). Determine w(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.031 + 0.431. Which is the second biggest value? (a) -0.1 (b) -3 (c) w (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17877285791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2712 is divided by 692?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, -1, -2\/17, 0.3493, -0.1, 0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 5, 87?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/33957 - 33947\/169785. Suppose -2 = -2*w - 164. What is the second smallest value in w, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.6. Let i = 3\/161 - 498\/805. What is the second smallest value in i, 3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n**4 - 664*n**3 - 4848*n**2 - 10656*n + 3456 = 0. What is n?\nAnswer: -12, -6, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, f: 1, j: 1, e: 2, s: 1}. Give prob of picking 1 s and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13077 - 13053. Calculate the greatest common divisor of w and 45048.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 95 = 5*q - 95, -q + 55 = 3*j. Let a = -38 + q. Calculate the greatest common factor of a and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2933.4638 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -6712883522.\nAnswer: -6712883522.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13338 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-26)\/(-130))\/(486\/(-135)))\/((-5)\/2).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppsp when four letters picked without replacement from pnpppwwpppppps.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s. Let v be (-24)\/32 + (-25)\/(-44). Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12067 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*v + 8 + 300*v + 297*v + 287*v - 1164*v.\nAnswer: 8*v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5098509331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o + 2*o**5 + (-o**2 + 2*o**2 + o**2)*(-2*o**3 + 2 - 2) + 2*o**3 + o**5 - 2*o**3 + (0*o - 4*o + 5*o)*(-9*o**4 + 759*o**2 - 759*o**2 - 2*o**3 + o).\nAnswer: -10*o**5 - 2*o**4 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360567?\nAnswer: 13, 104659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 26*o - 15 = 0. Suppose o*s - 45 = 2*i, -8*s + 2*i = -4*s - 58. Suppose -3*p = 5*a - 0*p + 35, -s = -3*a + 5*p. Which is smaller: a or 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 5, a: 5, g: 2, x: 2, i: 2}. What is prob of sequence ag?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/1180675 and -4\/11.\nAnswer: 12987425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/28)\/((300\/(-35))\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 23*i**2 + 21*i + 24. Let w be h(22). Let b(v) = 3*v**2 - 5*v - 3 - 2*v**w + 6. What is b(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -61. Is r at least as big as 2\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6065 + 6070.519. Let m = y - 6.9944. Let b = m - -1.49. Round b to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 289, 319, 349?\n\"Answer: 30*j + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 60*x**3 + 7*x**2 - 115*x + 35. What are the prime factors of a(6)?\nAnswer: 29, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -408 - -407. Let a be 3\/4 + (-90)\/(-40). Let g be (a\/(-192))\/(-1) - 0. Is w greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.58 times -36\nAnswer: -632.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 - 44*k. Let f(o) = 2*o**2 - 24*o. Let h(z) = 11*f(z) - 6*u(z). Let b(q) be the first derivative of q**2 - 4*q - 1. Give b(h(t)).\nAnswer: -4*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 81930228*h**2. Let g(i) = -2*i. Give g(m(z)).\nAnswer: -163860456*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 5*i + 112. What is y(0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from dpdppadpaypzcppp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b4528 + 0?\nAnswer: -1b4528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413830, 413813, 413782, 413731, 413654?\nAnswer: 413545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10773*v + 32226. Determine b(3).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.66 and -119906.\nAnswer: -79137.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (243\/45 - -1)\/((-4 - 183\/(-45))*-1)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 4*n = -2336, -y - n = -594. Suppose -5*w + y = -d, 4*w - 456 = -2*d - d. Suppose 4*c + 4*s + 111 = 479, -c + 4*s + w = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = -4*v, -2*v + 6*v + 12 = 0. Let i(z) be the first derivative of -z**2\/2 - z + 4. List the prime factors of i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.876388 months to centuries.\nAnswer: 0.00489699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6 - (-21)\/9)*3. Suppose s*w - 13 = -3*m, 4*w + 7*m - 4 = 3*m. What is the smallest common multiple of w and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16639518463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 2, 43, 18, -3, -4 in decreasing order.\nAnswer: 43, 18, 13, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**30*p*p*p\/p**(-2\/49) assuming p is positive.\nAnswer: p**(1619\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 158.\nAnswer: 17.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**5\/20 - 5*v**4\/12 + 5*v**3\/6 - 3*v**2 + 5*v. Determine f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262 + 378. Let u = 116.000396 - l. What is u rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 4*q - q)*(-3 + 5 + 0) - 2*q - q + 5*q - q - 3 + 3 + 0 + q + 0 - 14*q + 55 - 55.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17618327509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h*h**(-8\/7))\/h*h)\/(h\/h**(-32)))**(-3\/28) assuming h is positive.\nAnswer: h**(327\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*u - 44 = -405*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6694 and -193.20926491.\nAnswer: -193.87866491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1190.904395 - -1194.335. Let y = d - 3.43. What is y rounded to 5 dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-90)*10\/(-50)*45?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2950 and 22873.\nAnswer: -67475350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)\/(p*p**(-1)\/p*p))\/(p**(-5\/3)*(p**4\/p)\/p))**(-2\/71) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7186.7633 to the nearest 10.\nAnswer: 7190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 3, c: 1, s: 1, d: 1}. What is prob of sequence adjc?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-135)\/(-30) - 10\/(-20). Solve -3*n - h*z = 7, 39*z = -5*n + 35*z - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 47613?\nAnswer: -47613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*m + 20, s + s - 10 = m. Suppose -4*g + 11312 = -5*k, 3*k + s = -7. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**3\/3 - 2*t**2 - 1. Let v = 16 - 10. Let p = v + -11. What is c(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 76*o**2 + 1366*o + 121. Let z be i(-19). Solve 0 = 1612*l - z*l - 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 36. Let l be 0\/(4 + -6 + 4). Solve z + 5*b - 6 = l, 5*z + 2*b + 0*b = -y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-26)\/(-30). Let w be (1\/(-34))\/(7\/(-28)). Which is the third smallest value? (a) 1 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1321 by 15.\nAnswer: 1321\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2835*i**2*w**2 - 6*i*w**2 - 929*w**2 wrt i?\nAnswer: 5670*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 3. Let m be 1\/(3\/(-2) - -2). Let u be (-1)\/m - 5\/10. Which is the second biggest value? (a) -3 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301224364?\nAnswer: 2, 7, 193, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3))**37)**(-28\/3)*(((o**(-2\/5)\/o)\/o)**(-7\/3))**22 assuming o is positive.\nAnswer: o**(-4816\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + 1 + 1293 + -1351.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000416837495 to 7 dps.\nAnswer: 0.0000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2687 + -1572. Suppose -5*o + c = -0*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4439 - 4439.1. Which is the nearest to h? (a) 0.4 (b) 0.3 (c) -2180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18122 and 13498.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 246*x**2 - 15981*x - 582. Let r be u(65). Let 0 + 15\/4*n - 27\/8*n**2 - 3\/8*n**r = 0. What is n?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 297.6 - 298. Which is the second smallest value? (a) -0.3 (b) f (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -16*x - 4. Calculate the remainder when u(-4) is divided by (-112)\/(-5) + (-26)\/(390\/(-9)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 6. Let m be i(-6). Suppose m = -3*r + b + 16, -b - 4 = -3. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/360 - o**4\/48 - 5*o**3\/18 + 36*o**2. Factor a(h).\nAnswer: (h - 5)*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 162. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 87*f + 101*f + 17 + f**2 + 17*f**2 as r + m*f**2 + x*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/23)*w*w)\/w)**(23\/3) assuming w is positive.\nAnswer: w**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/20 - -1\/20. Let o = 48 + -47.5. Let s = 5.5 + o. What is the closest to i in -2\/5, 4, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1614 + -1611. Let y(m) = 5*m**2 + 1. Let d be y(-1). Sort -4, l, d in descending order.\nAnswer: d, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6)*(-9)\/(-1)*1. Does 6 divide (24\/7)\/(b - (-515)\/(-175))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(sqrt(180)\/sqrt(225) + sqrt(320)*2)\/((sqrt(640) + sqrt(640) + (sqrt(640)*-3 - sqrt(640) - sqrt(640)))*-6).\nAnswer: -41*sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.0512 milliseconds to microseconds.\nAnswer: 49051.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 5*p**2 - 4*p + 5. Let t be j(-4). Suppose -20*n + 135 - 55 = 0. Solve t*b = -2*f + 3, 2*f - 6 = -n*b + 4*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8*y = -15, 5*a - 14070 = -5*y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-392)\/(-12)*(-3)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75044112 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4\/4 + 11*z**3\/3 + 3*z**2 - 4*z - 8. Let l be -8*(4 + 27\/(-6)) - -6. Does 26 divide b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrffrf. Give prob of picking 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1314.0276 - -1314. What is m rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 6621323970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) -4 (c) 121 (d) 319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -2*s - 1144. Let o be 40\/22 + -2 + 52\/s. Solve -4*u + o*c + 4*c = 0, 4*c - 5 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 28 + 28*c)*(0*c - 3*c + 2*c) + (-2*c**2 - c + c)*(-4 + 0 + 3) in the form s*c + p*c**2 + m and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 12 + 0*t**2 + 1\/4*t**4 + 1\/120*t**5 + 0*t + 10\/3*t**3. Let k(p) be the third derivative of s(p). Give k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 - 5*c**4 + 3*c**4 + 6*c**2 + (14*c**3 + 13*c**3 - 8*c**3)*(-c - c + 3*c).\nAnswer: 17*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 7*q + 2*q = -47, -r + 23 = 5*q. Let n be (-65)\/(-26)*r\/10. Calculate the greatest common divisor of n and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyujytycyjcjttttccut. Give prob of picking 1 y, 1 j, and 2 u.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + u - 11 = 0, -4*t + 3*t + 19 = -3*u. What is the remainder when 100 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -181999, -363957, -545915, -727873, -909831?\n\"Answer: -181958*b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -608 in 2\/13, 2, 9, 3\/7, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.2, 2, -53, 71, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -841\/715 - 24\/65. What is the common denominator of 8\/28 - 1\/(28\/442) and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -33. Suppose 0 = 4*c + 4*j - j + 15, 0 = -4*c - 2*j - x. Let a(m) = m**2 + 10*m + 7. Let z be a(-9). Put c, -1, z in descending order.\nAnswer: -1, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqjq when four letters picked without replacement from yesjqqqljyjys?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 1, n: 2, o: 1, f: 2}. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.17155 to 2 dps.\nAnswer: -4.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 87638*c - 1927957. Give g(22).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -23. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxxyyyyxx. Give prob of sequence xyxy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*n + 2*f, 5*f = -n - 3*n + 76. Suppose 0 = -6*i - 163 + 199. What is the remainder when (0 - -2)\/(i - (-6116)\/(-1023)) is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*j - 15*j - 108. What is the lowest common multiple of 6 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*i + 18 = 430*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = 17 + 28 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*-1 + sqrt(5)*2 + -4.\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-26)\/6)\/((-3)\/18) is divided by 26*3\/6 + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Let u be (c - -4)*(-2)\/(-6). Solve 2*v + 4 = u*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 2*h**2 - 701*h. Let t be s(0). Let w(o) be the first derivative of t*o + 2\/25*o**5 + 0*o**4 - 8\/15*o**3 - 39 + 0*o**2. Factor w(b).\nAnswer: 2*b**2*(b - 2)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 44. Let x(n) = -2*n - n - 3 - 8*n**3 + n + i*n. Let y(b) = -7*b**3 + 5*b - 3. What is -5*x(w) + 6*y(w)?\nAnswer: -2*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 121, 430, 1269, 2902, 5593, 9606?\n\"Answer: 44*z**3 + z**2 - 2*z + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + x + 2. Let k(n) = 7*n**2 + 48*n + 74. Let j(w) = k(w) - 3*o(w). Differentiate j(b) with respect to b.\nAnswer: 2*b + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98.6 + -89. Let b = c + -10. What is the smallest value in 4, 1\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g + 18 - 22 + 32 - 19. Let a(w) = w + 4 - 5 + 2. Let s(d) = 18*a(d) - 2*i(d). What is s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4604 divide 363167367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1318)\/(-6) + 9\/27 - -2. Let o = g - 46. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 + 8*g + 2. Suppose -4*x + 30 = -4*h + 78, -4*x - 6 = 2*h. Let r(z) = -2*z**2 - 4*z - 1. Let k(s) = h*r(s) + 3*j(s). Give k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809793001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21713 and -0.3681.\nAnswer: -0.079925553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 7*r + 6*r + 10 - 7*r. Let p be a(7). Solve -p*u + u = -2*o + 8, 3*o + 4*u + 16 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 1\/3*w**3 + 0*w**4 - 67*w - 1\/2*w**2 - 4\/21*w**7 + 0*w**5 + 0 + 0*w**6. Find the second derivative of y(m) wrt m.\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -l, -3*l = -5*o + 2*l. Suppose r = n - 83, o = -3*n - 5*r + 188 + 93. What are the prime factors of n?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12147.685 to the nearest one hundred.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 2*h - 8*h + 0*h + 2*h - h + (-2*h - 1 + 1)*(0 - 3 + 2) + 4*h + 0*h - 5*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -611 + 625. Suppose r + 31 - 19 = -5*k, 2*r + z = -5*k. Put 3\/7, -0.048, -0.2, r in ascending order.\nAnswer: r, -0.2, -0.048, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4249 - 4235. Solve -25 = 11*i - r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3086736 and 27606.\nAnswer: 132729648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*z - 14*z + 4*z**5 + (329*z - 329*z - 80*z**4)*(4*z + z - 4*z + (-11 - 18 + 3)*(3*z - 2*z + z)).\nAnswer: 4084*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -55\/3 in increasing order.\nAnswer: -55\/3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -75*c**2 - 126*c - 45. What is the derivative of m(v) wrt v?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrbb.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35116 or -35106?\nAnswer: -35106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 192\/3 - (0 + -2 - 0). What is the highest common divisor of v and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvkl when four letters picked without replacement from {i: 5, v: 2, n: 2, l: 2, k: 2}?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -2 + 6 - 1*6. Let x = 1 + 3. Put x, a, -7 in increasing order.\nAnswer: -7, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1372, -10, 1, 0 in decreasing order.\nAnswer: 1372, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172964 or 172969?\nAnswer: 172964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2*o**3 + 3613. Let x(m) = 4*m**2. Let p = -1 + 3. Let h be (-37)\/(-7) - p\/7. Calculate h*a(j) - 8*x(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/(-7) + 6\/21. Suppose -l*z + 390 - 63 = 0. Suppose 13 = -6*k + z. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 14*n - 29. Suppose 2*y - 15 + 5 = 0. Let v(u) = -15*u + 30. Let m(z) = y*v(z) + 6*r(z). What is the derivative of m(f) wrt f?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x)**(2\/31)\/(x**0)**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -364*(-192)\/3192 + -22\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -28. Suppose -v = w + z*w - 101, -w = 2*v - 42. Solve 3*b + b + 4*q = w, 3*b = 5*q - 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -53903692?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198.4569g to kilograms.\nAnswer: 0.1984569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 t when three letters picked without replacement from edssrsbrrtbbd?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10*a + 8. Let o(z) = -z - 1. Let p(x) = -18*o(x) - 2*r(x). Let m = 3 - 0. Give p(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(3*v - 3*v + 2*v)*(3*v - 2*v + 3 - 1).\nAnswer: 4*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + -2 - ((18 - -1) + -15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/2)))**(32\/3)*(b**(-2\/3))**10 assuming b is positive.\nAnswer: b**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/85*(-265)\/53*4\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 3*c + 2*d, 5*c + 3692 = -d + 3599 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-33) - (-5280002)\/(-11). Round y to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 310*d - 35649. Give z(115).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.09.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0*v**5 - 1\/30*v**6 + 0*v**4 + 0 + 0*v**2 - 5*v + 1\/6*v**3. Find the second derivative of n(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 339 = 351 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 12:26 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 16*p**2 - 334*p + 2. Let a(j) = -38*j**2 + 669*j - 5. Determine -2*a(k) - 5*q(k).\nAnswer: -4*k**2 + 332*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -162, -160?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000025717479 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151251 is divided by 430?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a + 2. Suppose a*m = -g + 12, 5*g = 3*m + 2*g - 24. Is (-1 + m)*(-19)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 - 102. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 201 - -1708. Suppose 5*z + p = -j + 2*j, 1909 = j + z. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -41. Solve 2*b - a*r - 15 = 0, b - 2*r - 8 = 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1463192 to the nearest 1000.\nAnswer: 1463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*k - 8, 4*k + 5*w - 9 = 2. Let g be (-1)\/(k - 12\/(-15)). Suppose g*f + 18 = 73. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11101?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.272 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - (-5 - (-23)\/2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 857932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/2)*a**(-3\/8)*(a**(2\/9))**(2\/89)*(a\/a**1)**(-14)\/(a**(2\/9)\/(a*a**(3\/5)\/a*a)) assuming a is positive.\nAnswer: a**(16103\/10680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35568.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 + -150. Let d = -35 - -29. Let f be (1\/(6\/4))\/(-2)*d. Solve -1 - a = -f*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70628.04 - 56559833?\nAnswer: -56630461.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/12 - w**3 - w**2\/2 + w. Let k be q(6). Let u = -7 + 11. Put 3, k, u in increasing order.\nAnswer: k, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11625, 23255, 34885, 46515?\n\"Answer: 11630*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 16. Let j = -34822 + 34826. Solve -j*n = n + t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20833115.5 from 24.\nAnswer: -20833091.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2670 = -9916. What is the highest common factor of 58 and c?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 4:12 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1422464.\nAnswer: 2, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17899 + -16437.1. Round a to the nearest 10.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584722 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 + -1) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1920 and 2.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 189, 472, 881, 1422?\n\"Answer: v**3 + 54*v**2 - 6*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010301 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 0.009402?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 693670.78 to the nearest 1000.\nAnswer: 694000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 5077401*l + 35541954 = 0. What is l?\nAnswer: -1692474, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/4)\/(3010\/(-89440)))\/(4\/2)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 269*d**3\/6 - 371*d**2 + 577*d. Differentiate f(l) with respect to l.\nAnswer: 269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 31388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 997426644 a multiple of 3643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5.3. Let i(f) = f**3 + 11*f**2 - 3*f + 6. Let y be i(-4). Let d = y + -131. What is the second biggest value in -1\/7, r, d, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 + 2*n - 7. What is the remainder when 32 is divided by d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (100 + 4)*332\/8 - 6\/1. Calculate the greatest common divisor of 30 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4777914 minus -0.4?\nAnswer: -0.0777914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1073860699*x**2 - 338133104*x wrt x.\nAnswer: 2147721398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkvkzivvbvvkkk. Give prob of picking 2 v, 1 i, and 1 b.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/55)\/((-830)\/249*(-12)\/(-50)*-42).\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 34 - c + 34.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120*y - 199*y - 111*y)*(-45 + 17 + 21).\nAnswer: 1330*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62187135?\nAnswer: 3, 5, 4145809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 2108*z\/9.\nAnswer: 2*z*(z + 1054)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101001000 (base 2) to base 13.\nAnswer: 2329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28\/285 - -2\/57. What is the smallest value in 4, -7\/3, 2\/5, x?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-16))\/((-90)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = -t - 4, 3*x - 6 = t. Let o = 34 - 20. Let u = 10 - o. Sort 4, u, t.\nAnswer: u, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352084115?\nAnswer: 3, 5, 269, 335089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22032141 (base 7) to base 15.\nAnswer: 275186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 306.9928 + -306. Let d = 0 + 1. Let g = c - d. Round g to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 17)\/1*1. Let d = 334405 - 334406. Let b be (-23)\/22 + (-1)\/(-2). What is the closest to d in b, 1\/9, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(6\/27)*3. Let h be b\/12 - (-2)\/(-8). Solve 3 = r, 2*r = 4*i - h*r + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 1309, 4824, 11615, 22768, 39369, 62504, 93259?\nAnswer: 132720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-484)\/8470 + (6433461\/35)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -12 + (10 - 16)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2 - 3) + -12 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -87*w**2 + 32*w**2 + 0 + 0 + 60*w**2. Let k(h) = -654*h**2. What is c(k(x))?\nAnswer: 2138580*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21))\/(4\/(-7)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 450 + -448. Find c such that -32*c + 10*c + 67*c**a - 68*c**2 = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 12 = 0, 5*c + 7*b + 0*b - 153 = -7*b + 11*b for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:50 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24404254 + 2?\nAnswer: -24404252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -1 + 3 + -4 + -1*sqrt(99) - (-1 + sqrt(99) + sqrt(99)*-1 + 3))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10349, 40970, 91997, 163430, 255269, 367514?\n\"Answer: 10203*o**2 + 12*o + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 68 + 39 + -62.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 456\/(-95) + (-2)\/10. What is the tens digit of (154\/(-5))\/((14\/y)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*u - 7*u - 8*u - 2*u**2 - 4 to the form i*u + v*u**2 + n and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -0.2, 1755, -3\/7, -3 in increasing order.\nAnswer: -3, -3\/7, -0.2, 23, 1755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n - 21. Let i be l(-4). What is the closest to -1 in i, -4, 17, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13419 = 340*n - 127*n for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0 + 0)*(-3*o**4 - 3*o**4 + 5*o**4) + (2*o**3 + 3*o**3 - 2*o**3)*(39*o - 39*o - 4*o**2).\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g + 25*g - 18*g + 24*g - 75*g + 21*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.6 - 30.6. What is the nearest to 1 in -4, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65138 is divided by 2832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 260\/10 - (-4 + 1 + 18\/6)\/9\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2945.094m?\nAnswer: 2.945094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -72*d**3 + 6*d**2 - 14*d - 2. Let v(r) = 24*r**3 - 2*r**2 + 5*r + 1. Let n(o) = -6*j(o) - 17*v(o). Let b be n(5). Is b\/50 - 8\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 3 = -i + 2*k, -2*i = -3*k + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 275236.32 months?\nAnswer: 229.3636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.4, 0.2, -2\/35?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkk when three letters picked without replacement from {d: 8, w: 5, m: 2, k: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 86 + 46*t**2 + 86.\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921508 + 460756 + 427*t**2 + 460752.\nAnswer: 427*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 7*i - 858. Let u = -95 + i. Which is the smallest value? (a) u (b) 5 (c) 2\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 92\/(-3)*18\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1890)\/(-405)*27*8\/168?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 9*r + 4 = 0. Suppose 3*h + 29 = r*k, -h - 2*h + 35 = 2*k. Solve -k*m = -14*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140285 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175842 is divided by 2095.\nAnswer: 1957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/45*1\/(-3)*-1. What is the nearest to h in 0.4, 0.3, 4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*p + 0*p**4 + 239*p - 18*p**3 - 2*p**4 + 3 - 2*p**2 - 475*p to the form h*p**2 + y*p**4 + f + w*p**3 + g*p and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m**2 + 715*m + 10*m**3 + 0 + 1 - 721*m to t*m + f*m**2 + l + z*m**3 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 104*d + d + 114*d - 3*d + 2*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**4\/7 + 3133*t**3\/7 + 434178*t**2\/7 - 2607660*t - 11107800\/7 = 0.\nAnswer: -330, -3\/5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 5. Let z be a(-5). Let l = 4 + z. Suppose l*i - 5*c - 99 = i, -4*c - 165 = -5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005806 rounded to four decimal places?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (9 + 1 + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010369508447 rounded to six decimal places?\nAnswer: 0.001037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (29 - -1) + (-650 - -685) + -2 + -8\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8844757 and 974686.\nAnswer: 10369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3076\/29 + -106. Let g = 1.5 - -5.5. Let p = g + -12. Which is the biggest value? (a) p (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**3 + 6636*r**2 + 235053*r + 1981854 = 0 for r.\nAnswer: -21, -14, 2247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by -30\nAnswer: -119\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 4:17 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2560 and 0.\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/82 and -89\/17994.\nAnswer: 737754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2462352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 41*q**2 - 35*q + 39. Is 107 a factor of d(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13014 - (3 - 4)*-2. Suppose -4*f + 4*q = f - r, -4*f - 4*q + 10388 = 0. Round f to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 1. Let u = -22 - -15. Let v = u - -7. Suppose v*b - 5*b = 0. Give f(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1 + c + 487*c**2 - 487*c**2 - c**3 - 2*c. Let b(p) = -p**3 - 10*p**2 - 16*p + 7. Let r(a) = -b(a) + 2*x(a). Is r(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 103 - 1 - (6 + -3). Let j(w) = 3*w**2 - 32*w + 10. Let h be j(13). Suppose h*d = r*d + 796. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and 1.645744.\nAnswer: -25.354256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 - 6*l**3 - 90*l + 393*l - 126*l - 91*l + 7 - 89*l as t + v*l**2 + n*l**3 + k*l and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -12.39?\nAnswer: -61.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**2 - 3*k + 36. Let q be t(-28). What are the prime factors of q\/(-27) - (-34)\/153?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 3*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*v + 72 = 4*v, -p + 30 = -4*v. What is the highest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8304*g + 456207. Calculate l(-55).\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:27 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88676 + -0.1.\nAnswer: -88676.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -25\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*h = -10*h - 1848 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581052.\nAnswer: 2, 3, 41, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(23\/483) - 2*3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 = 2. Let m be 0 + -1 + 2 + 2. Suppose -4*f = -m*r + 32 + 25, 0 = w*r - 4*f - 103. Calculate the remainder when r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 449*k = 450*k - 92, 2*p - 40 = -2*k. Solve -232*q + p = -236*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 761414265 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17444 - -3?\nAnswer: 17447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*n**3 - 2*i*n**2 - 27604193*i*n - 335182*n**3 - 6*n**2 wrt n.\nAnswer: 6*i*n - 4*i - 2011092*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - -68) + 2 + 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - -141 - (-6 - -19). Let d = -125 - -209. Let b = z - d. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1605 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132069 by -32.\nAnswer: 132069\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -2 - -16)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -341, -560, -835, -1184, -1625, -2176?\nAnswer: -2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 2130.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = -32, -2*s - 42025*t = -42024*t + 22 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwh when three letters picked without replacement from {w: 3, h: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 + 6*j + 9. Let s be y(3). Let p(u) be the first derivative of s*u**2 - 5\/3*u**3 + 0*u - 5\/2*u**4 + 1 - u**5. Factor p(l).\nAnswer: -5*l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 246192?\nAnswer: 2215728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6, -t = -3*h - 53 - 43. Let j be 6\/h + (-24)\/(-11). Let s(m) = 10*m - 3. What are the prime factors of s(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4793868 and -89\/2396934.\nAnswer: 4793868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 21*o**2 - 19*o + 27. Determine p(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 20*j**3 - 20*j**2 + 11. Let o(y) be the second derivative of 7*y**5\/20 - 7*y**4\/12 + 2*y**2 + 18*y. What is 17*o(v) - 6*r(v)?\nAnswer: -v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -651 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6, 22\/7, 3\/5, 21?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30 + 4\/(-2) - 3. Let z = -36 + 41. Let f = 2 + -2. Solve f*g + z*g + u = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*((sqrt(272) - (-3 + sqrt(272))) + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2236157, -4472314, -6708471, -8944628?\n\"Answer: -2236157*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*a = -530, -3*r + 2*a + 328 = 11. What is the greatest common divisor of 6 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43133.573 - 9988322\nAnswer: -9945188.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178\/63 + 28\/9. What is the second biggest value in -3, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -30. Is 103\/2*(1 + h) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab9 (base 13) to base 5.\nAnswer: 24332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00093800169 to six decimal places.\nAnswer: -0.000938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 20 = 5*k. Suppose 0 = k*r - 4 - 16. Suppose 5*c - 2424 = -r*j, j + c = -0*c + 607. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 8. Let j = x + 4.99904. What is j rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/256 and -31\/4896?\nAnswer: 39168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27389765*d**5 + 2265546*d**2 + d wrt d?\nAnswer: -1643385900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - v + 1. Let o(f) = -f**3 - 6*f**2 - 7*f + 6. Suppose -4 = -s + 2. Determine s*b(g) - o(g).\nAnswer: g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + 9*q + 56. Calculate x(-6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*q + 9029, -5016 = -4*f - 4*q + 2200. Calculate the greatest common factor of 139 and f.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 276 = -5*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15266349 and 497.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6930.7 + -6931. Which is the fourth biggest value? (a) -1\/5 (b) h (c) 2\/91 (d) 1 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 129*c**5 + 62*c**5 - 16*c**5 + (-6*c + 0*c + 2*c)*(-1 - 2 + 1)*(c**2 + 0 + 0)*(-2*c**2 + c - c).\nAnswer: 159*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 1, d: 1, w: 1, i: 1, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(1\/18*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -351 + 351. Solve l = -2*f - 0*o - 5*o - 9, 0 = -4*o - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 823436332 and 13098?\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0*l**3 - 2*l + 0*l - 1 - 2*l**2 - l**3. Let q be j(-2). Suppose 3*k + 63 = n + 5*k, q*n + 5*k = 190. Calculate the highest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.2, 5, 1\/7, -0.4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 5*l + 2. Let a be v(-3). Let x = 5 - -1. Let h(c) = c**3 - 5*c**2 - 7*c + 8. Let n be h(x). Solve 2*j = -f + 1, 5*f + a + n = 5*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Suppose 4*l - 48 = -3*w, -w - 2*w + 60 = 5*l. Suppose -l = -7*o + r*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 95*h**3 + 9*h**2 + 9. Let d(f) = -f**2 - 1. What is 18*d(t) + 2*y(t)?\nAnswer: 190*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 9 - 2 = -3*b, 3*b - 5 = 4*w. Solve a - 3 = w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92435069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391 - 740 = -65*h - 22*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v - 3*v - 5*v - 7*v + 3*v. Let w(b) be the second derivative of 0*b**2 + 0*b**3 - b + 0 - 13\/12*b**4. What is d(w(a))?\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 102*k - 23. What is f(23)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-3)\/2)*0. Suppose 3*r = -h*r + 60. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.3 - -51. Suppose 5*d + 8 = 9*d. What is the nearest to d in 0.3, 4, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 27*w**2 - 60*w + 74. Let o be l(16). Solve o*v - 402*v - 56 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -15*p**3 + 44*p**2 + 94*p - 292. Determine w(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*w + 8, 2*z + 2*z - 5*w = 19. Does 4 divide (-32)\/z*(1 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(448) + sqrt(448)*1 + -1)**2*6 + (4*sqrt(112)*1 + sqrt(112)*1 + sqrt(7) + (sqrt(343) - (sqrt(343) + 1 - sqrt(343))))**2.\nAnswer: -5269 + 136*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, 6, -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3542, 26131, 87480, 206969, 403978, 697887, 1108076?\nAnswer: 1653925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Suppose -3*y - y - k*n = 2, 0 = -y - 2*n - 3. Let i(o) = 320*o - 321*o + 0*o**2 - o**3 + 2*o**2. What is i(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1331) - (1*sqrt(1331)*-2)**2) + 1 + (0 + sqrt(1331) - sqrt(1331))**2 + 4.\nAnswer: -10643 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 19. Let o = 36 - i. Let p = -45.9974 + o. Round p to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20033496?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*v**3 + 938046*v**2 + 5*v + 437890428 wrt v.\nAnswer: -18*v**2 + 1876092*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27652 and 20006668?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59, -55, -51, -47, -43?\n\"Answer: 4*o - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 195, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-6))\/((-1)\/(-2)) - -3070 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**27\/p)**(-34\/3) assuming p is positive.\nAnswer: p**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 20, 120?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -18.6. Which is the second biggest value? (a) 0 (b) t (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74184, -147979, -221382, -294387, -366988, -439179, -510954?\n\"Answer: w**3 + 190*w**2 - 74372*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdxexxxxxxxedxx. What is prob of picking 2 d and 2 e?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f. Let t(n) = 3652*n**2. What is t(q(h))?\nAnswer: 233728*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 93834? (a) -4 (b) -1\/6 (c) -2 (d) -1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*j**2 - 90*d + 67*j**2 + j wrt j?\nAnswer: 2*d + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 530*p**3 + 1091*p**3 - 563*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 e, and 1 t when four letters picked without replacement from {x: 6, e: 4, l: 2, v: 1, a: 1, t: 4}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**12*x)\/x**(2\/17) assuming x is positive.\nAnswer: x**(253\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 4*b - 5. Let h be u(-5). Suppose 0 = -4*w + 3*q - h + 2, 4*q + 8 = 0. Suppose -2*r = 2 + 4. Sort r, w, 2 in descending order.\nAnswer: 2, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 1, -5, -4, 4, 42 in descending order.\nAnswer: 42, 4, 1, -4, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(340))\/sqrt(10))\/(sqrt(2) - sqrt(20)\/sqrt(40)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let t = -2.1 + 2.3. Put t, -2\/7, x in ascending order.\nAnswer: -2\/7, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532477 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: Is 7856 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*o**4 - 2*o**4 + 68*o**4)*(-2 + 4 + 0).\nAnswer: 422*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 122. Calculate the highest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1500352, 3000704, 4501054, 6001402?\n\"Answer: -y**2 + 1500355*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 801 = -390*q - 351 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 37*n**3 - n. Let v be u(1). Let h = -57 + v. List the prime factors of h\/3 + 4 - -15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126\/315*(10\/(-12))\/(-1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 338*k + 109. Is r(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 14. Solve -3*q + f*q + 20 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*t = -0*g + 44, 3*g + 3*t - 114 = 0. Let u = -25 + g. Does 17 divide 5\/((-13)\/u - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 46 = 7*j - 5*j, 43 = -5*j + 4*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 10:37 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 39*h**2 + 38*h - 293. Is b(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15 = h, 2*o - 44227 = 3*h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/6*(-90)\/(-30). What are the prime factors of 9 - (-25)\/p - -1*439?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 94*u + 60. What is d(22)?\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/273315 and 6\/24275.\nAnswer: 1326944325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 18000 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 34, 10, 3, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 475 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 + 13*s - 7. Let q(v) = 0*v - 2*v + 4*v**2 - 7*v + 5. Suppose -3*d = -4*d + m + 4, -m + 21 = 4*d. Let z(p) = d*w(p) + 7*q(p). Factor z(o).\nAnswer: -2*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014894506 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/(-22)*(-10)\/(-15)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 677, 1\/2, -2, -0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 2*m = 6*t + 370, 3*m = -4*t + 373. What is the greatest common factor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/8 + 3*u**2. Let j(g) = 2*g**2. What is j(w(p))?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -22, -3, -5 in decreasing order.\nAnswer: 4, 0, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42229 is divided by 2514.\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4931 rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + (60 - 65) - -4 - -10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**4 - 7. Let m(l) = 2*l**4 - 3. Let d(n) = -4*n**2 + 3*n - 2. Let b be d(1). Let r(f) = b*g(f) + 7*m(f). Factor r(z).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 26. Let o = 40 + -30. What is the smallest common multiple of 12 and k(o)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 222063360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 40. Let t be 7778\/8 + (3\/p)\/(-1). Suppose r = -8*r + t. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 56. Suppose 7 + j = -3*t. Let v = t + 37. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1741195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 4. Let d be t(8). Suppose -4*s - 5*o + d = s, -5*o = -5*s. What is the third derivative of 0*y**2 - y**2 + s*y**5 + 0*y**5 - 3*y**2 wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 378 + -234. Let d = 56 + p. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89? (a) 3 (b) 1\/20 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.1, 36.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Let u = 0.4 + 0.2. Let t = u - 0.1. Sort 0.2, t, d in increasing order.\nAnswer: 0.2, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15684 is divided by 15348.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g + 8. Suppose 16 = g*d - 68. Suppose -2*m - d = -4*m - 2*w, -38 = -2*m - w. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1502*j**2 - 4668*j**2 + 1495*j**2 + 1668*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + y + 2*y - y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 11.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2316, 2314, 2312?\n\"Answer: -2*x + 2318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86067*k**3*v**2 - k**3*v - 5*k**2 + 76*k*v wrt v?\nAnswer: -172134*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*i - 251, 5*f - 207 = -3*i + 2*f. What is the highest common divisor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from ccccccccctccc?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 920 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - w - 1. Let l be g(-3). Suppose -49 = -5*v + l. Calculate the greatest common factor of v and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 - -4337389421.\nAnswer: 4337389811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 563311164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7.81 times 0.5\nAnswer: 3.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000943690846 rounded to seven decimal places?\nAnswer: -0.0000944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 - (-108 - (-64 + -13))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1352 and 169?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*v + 2 = 8, -3 = 3*u + 3*v. What is the highest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -6)*(-329)\/4. Suppose -3*h = -6*h - 4*k + 149, -2*k = 4*h - 192. What is the highest common factor of h and j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 52.275258\nAnswer: -10.4550516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 take away 20070841?\nAnswer: -20070769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104\/7 + 5\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/30 and 69\/880.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 15 = -9*z, -l + 5*z - 36 = 0. Which is the biggest value? (a) -0.14 (b) 1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 711310.6nm?\nAnswer: 0.07113106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4, 25*q + 4*c = 26*q - 28. Let v be (-70)\/3*(-13 - -1). Calculate the greatest common factor of q and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 6*k - 2. Let b be w(-4). Suppose -5*g + 16 = 4*h, 2*g = -h + 4*h - 12. Suppose -n - b = -h*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**3\/3 + 13*c**2\/2 + c + 1404. Calculate o(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 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 greatest common divisor of 73548 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2. Let q(n) = 4428477*n**2 + 2. Determine q(p(j)).\nAnswer: 159425172*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37666.6 + -37666.9. Suppose 4*u + 10 = 2*z - z, 0 = u. Which is the second biggest value? (a) z (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -13446, 4, 2, -4 in increasing order.\nAnswer: -13446, -6, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000201841 rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 + 139*l - 573. Determine f(4).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 16*k - 2. What is d(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 7, c: 1, z: 1, j: 1, q: 2}. Give prob of sequence oj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2274191 is divided by 152?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*l**3 - 58*d**3 - 80900*d**2 - 3*d - 5594058*l**3 wrt l.\nAnswer: 3*d**3*l**2 - 16782174*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*p, 4*y - 2*p - 7 = -3*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24289547?\nAnswer: 24289547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -53, 4, -223, -15 in ascending order.\nAnswer: -223, -53, -15, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.743282km to millimeters.\nAnswer: 743282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324836747*b**2*c**2 + 5*b**2 - 5537*b*c - 238*b - c**2 wrt c.\nAnswer: -649673494*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + 183 + 3\/6*-10. Suppose -3*b = -2*o + 59, -123 = -4*o + 5*b - 0*b. Calculate the greatest common factor of a and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3419 or 0?\nAnswer: -2\/3419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 8*n + 11. Let x = -6 - 0. Let t be a(x). Is (t\/(2\/22))\/(-1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + sqrt(612))*-2.\nAnswer: -12*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 28 - 2*m + 130 to the form t + u*m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/8 + -5 + -570. What are the prime factors of 716 + 4\/(-5) + d\/(-100)?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n - 988. Let m = 463 + n. Let d(a) = -7*a - 8. Let p be d(-5). What is the greatest common factor of p and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24479 - 90*b**2 - 104*b**2 + 24481 - 203*b**2 in the form w*b**2 + s + y*b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 295 - -12\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 9. Let v be y(-5). Let s be (v\/5)\/(6\/45). What is the first derivative of -7 + 13 + s - 13*l + 0 wrt l?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1287 and 990.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 580271, 565660, 551061, 536480, 521923, 507396?\n\"Answer: p**3 - 14618*p + 594888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 521 - -5.\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95, -237, -435, -689, -999, -1365?\n\"Answer: -28*p**2 - 58*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**4 + 8*u**4 + 6*u**4 - u**4 + 2*u**3 - 2*u**3 + (-1 + 1 - 2*u**2)*(-3*u**2 + 4*u**2 + 0*u**2).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*l + 3*n + 18, -n = l - 31. Let p = 267 + -263. Let c(j) = 6*j**2 + 7*j - 44. Calculate the remainder when c(p) is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20034395 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -4. Let f = 7 - 7.01. Let r = f - 3.99. Which is the nearest to 1\/3? (a) 5 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262 and 182587.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18\/54 - 458\/((-2)\/(16\/6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:46 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27408, -109640, -246694, -438570, -685268?\nAnswer: -986788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:04 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u - 39. Suppose 3*v = 5*y + 20 - 49, -4*y = 5*v - 1. Let k(t) = t. Calculate y*k(m) + w(m).\nAnswer: m - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/33 in 0.3, -2\/3, 23, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69709116 divided by -17427279.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -0.2 (c) -1 (d) 1\/494 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 53 + 42 + 13*p + 13 - 5 + 2.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3. Suppose -3*f - 5*y + 1 = 12, 11 = f - 2*y. Let j(i) = i**2 + 3. Let o(r) = f*c(r) - 2*j(r). Differentiate o(a) wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Let r be o + -3 + (0 - -2). What is the units digit of (-2 - -4) + 1 + r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4980 is divided by 747.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25*29\/(-232))\/5?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = -0*i. Let v = -267.5 - -267. Which is the third smallest value? (a) v (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*u + 26, 0*a + 2*a + 16 = -2*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0112, -2, 5 in increasing order.\nAnswer: -2, 0.0112, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3273.89 - 3274. What is the third smallest value in v, -52, -3, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96383684 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4\/7 + 2019*j**3\/7 - 508842*j**2\/7 + 56923236*j\/7 - 2385107208\/7.\nAnswer: -3*(j - 187)*(j - 162)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**4 - 267270*w**3 - 2137899*w**2 + 6146748*w + 8017380 = 0.\nAnswer: -89082, -10, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**3 + 563*f**2 - 136*f - 310. What is the hundreds digit of u(80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -724*0.3.\nAnswer: -217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-18)*(-48)\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2013403*q*w + 457361*w - 4 wrt q.\nAnswer: 2013403*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4944728, -9889452, -14834176, -19778900?\nAnswer: -24723624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**6\/120 - p**5\/12 + p**4\/24 + 7*p**3\/6 - 13*p**2. Calculate the remainder when 29 is divided by u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 7 - 2*a - 14 - 7 - 62 + 84.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-2)\/(-5))\/(-5)*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 6 + 0 + 12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 9 = -3*q, t - 6*t - 7 = 4*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-0.062.\nAnswer: 0.00124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122131 + -12041?\nAnswer: -134222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(-5 + (sqrt(171) - (sqrt(171) + (5*sqrt(171) - sqrt(171)) + sqrt(171))))*-1)**2.\nAnswer: 150*sqrt(19) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Let b = k + -1. Suppose b = -w - 4*j + 15, -3*w + 4*w - j - 10 = 0. Calculate the least common multiple of 4 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*k - 290, 945 = 2*o - 4*k + 355. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(33)\/(sqrt(22)\/sqrt(2)*3)*-3 - -5*(sqrt(36)\/(sqrt(36)\/sqrt(3)) + 3)**2).\nAnswer: 29*sqrt(3) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 560 - 355. Suppose -5*k + o = 5*x, k = -0 + 2. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 5. Suppose -3*c = 3, -c + 4*c = -l. Suppose -5*m = l*b + 32, -m - 2 = -2*b - 6. Let z be p(m). Solve 0*a = a - z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803.953 micrograms to tonnes.\nAnswer: 0.000000000803953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 5*h. Let a be g(-4). Let p = a + -3. Solve 5 = d - 3*n, -1 - p = -4*d + 2*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510657 by 170219.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11 - 70 - 5 + 0*a**2 + 88*a + 2*a**2. Determine i(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 6:52 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 7*m - 48. Calculate the remainder when 9 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 52825 = 10*x. Let j = x + 14982. Suppose -10*z + j = -3*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 69, 2\/19, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6918.788kg?\nAnswer: 6918788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -9. Let h = 5 + j. Let u = -6 + h. Which is the biggest value? (a) 2\/11 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57, -64, -69, -72, -73, -72?\n\"Answer: w**2 - 10*w - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 6. Let n(b) = -8*b**2 + 3*b**2 + 3*b**z - 2*b - 2 + 2*b**3 + 4. Let h be n(2). Solve 20 = v - h*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 686016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l + 2*l - 3*l - 3 + 23. What is the tens digit of r(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264*d**2 - 110*d**2 + 36*d**2 + (5 + 2*d - 5)*(d + 2*d - 5*d) + 0*d**2 + 2*d**2 - 4*d**2 - 2 + 2 + 3*d**2 to p + s*d + r*d**2 and give r.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(3*j**2 - 3*j**2 - j**3) + 4*j**3 - 4*j**3 + 4*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -65?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 22 - 23 = 0. Calculate the remainder when 2\/(-3)*-3 + 14 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19274 at least 19271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 231640537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-4)\/(-8)*-8. Let w(o) = 3*o. Let y be w(q). Is (49*y\/6)\/(1\/2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 88 = -3*c. Round c to zero dps.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -680675, -680636, -680559, -680438, -680267, -680040?\n\"Answer: k**3 + 13*k**2 - 7*k - 680682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 0*l - 7 - 38\/3*l**3 - 2*l**4 + 0*l**2. What is the third derivative of u(x) wrt x?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*n - 11843 = -37*n - 10072 + 30613 for n.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Let q = -7 - -11. Let y = 4\/11 - 9\/55. Which is the biggest value? (a) y (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356174.8 nanograms in micrograms?\nAnswer: 356.1748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - b?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 96.0297 minutes?\nAnswer: 5761.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34406 (base 7) to base 2.\nAnswer: 10001001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 50*s - 528. Determine g(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - 51211054?\nAnswer: -51211014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + ((0 + sqrt(288))*4*4)**2*6).\nAnswer: -1327101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 306627, 613282, 919937?\n\"Answer: 306655*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61197, -61205, -61217, -61233?\n\"Answer: -2*d**2 - 2*d - 61193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 4*g**2 - 7*g - 8. Suppose 4*d = 2*d - 10. Let l be o(d). Let r be ((-10)\/(-5))\/(l\/4). What is the second smallest value in r, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 15, e: 5}. Give prob of sequence ezee.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0 - 1\/2*j**3 + 1\/12*j**4 + j**2 + 15*j. Determine q(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*y + 3*y - 416, -421 = -3*y + 2*u. Suppose -y = -3*h - 17. Calculate the remainder when h is divided by (-2)\/(-8) + 330\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1272 + 2292 = 9*b. What is the remainder when 1592 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n - 4. Let z(t) = t + 1. Let q(m) = -p(m) - 2*z(m). Let w be q(0). Sort -2, w, -4 in descending order.\nAnswer: w, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-150))\/(-2 - (-517)\/(-792)*-3)\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57873 and 3.69114.\nAnswer: -57869.30886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 3) to base 4.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f - 3 - 2*f - 4 + 3 as l + k*f and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5215 = -31*g + 38*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3 = 3*v, -8*v + 8 = -2*j - 12*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*r = -3704, 0*g + 5*g + r = 4642. Let v(b) = -95*b + 203. Let k be v(-17). Let h = k - g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 4*f - 2*f + 6*f - 2*f - 2*f + 3*f + f - 3*f + (-4 + 2 + 3)*(f - f - f) + 0*f - 4*f + 3*f + 10 - 7*f - 10 to the form v + h*f and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83385703 - -0.700898.\nAnswer: -83385702.299102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/20*(-2)\/4)\/1. Put n, 0.3, 243 in descending order.\nAnswer: 243, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**24\/(a\/a**(2\/11))**33 assuming a is positive.\nAnswer: a**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5756979? (a) -5 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.5353.\nAnswer: 0.21412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20112101 (base 3) to base 7.\nAnswer: -16612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3173, -0.09, -0.3, -3, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 1 - 1)*(j + 2*j**4 - j).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163533 + 103435. Let o = 60213.927 + h. Let i = o - 116. What is i rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 2*w**2 + 297985*w**3 - 148997*w**3 - 148990*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 90*t**2 - 73*t - 635. What is o(4)?\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1458 + 28480. Let y = p + -13833. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) + (sqrt(88) + sqrt(88)*-2 + sqrt(88) + sqrt(88) + sqrt(88) - sqrt(88)) - sqrt(88)))\/(sqrt(288)*-1 - sqrt(288)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3632 - -3631. Do -36\/299 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6aa - -ec6?\nAnswer: 81c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1661 + 66*h - 4*h**2 - 32*h - 34*h - 13845.\nAnswer: -4*h**2 - 12184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13812 - 13779. Suppose 7*w - 440 = 2*w. Calculate the greatest common divisor of w and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*c + 1131444 = -146*c + 304*c. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5900)\/(-8))\/((-11)\/(-1584)). Round u to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1682 - 1681. Let t = -523\/4 - -133. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.089 (b) -24 (c) 0.2 (d) 2 (e) -3 (f) -0.5 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**4\/7 + 3756*l**3\/7 - 1088624*l**2\/7 + 4309296*l\/7 - 4294208\/7 = 0.\nAnswer: -1172, 2, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 96, 113, 136?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -36\/11 (c) 24 (d) 4 (e) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - 24 - -4) + 30\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.8012 - -7.55. Let o = -1 + 1.25. Let n = h + o. Round n to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1749650 and 624875?\nAnswer: 8748250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - c + 3*c)*(3 - 3 + 1 + (-2 - 3 + 4)*(-3 - 2 + 4))*(592*c - 575 + 575) as f*c + j + r*c**2 and give r.\nAnswer: 4736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7 and -28\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 2*(sqrt(1008) - (sqrt(1008) - (sqrt(1008) + 0 + sqrt(1008)))) + -4 + -2)**2 + (-1 + (-1*(sqrt(1008) + 1) - sqrt(1008)) + 0)**2.\nAnswer: -624*sqrt(7) + 29272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1081*j**3 + 2*j**2 - 11*j - 109200 wrt j?\nAnswer: -3243*j**2 + 4*j - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 147860, 147990, 148120, 148250, 148380, 148510?\n\"Answer: 130*d + 147730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.4. Let r = 3 - -2. Suppose 0 = -r*h + 1 + 4. Which is the biggest value? (a) u (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8575 - -8599. Calculate the remainder when 757 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*h*s**5 + 9*h*s**4 - 1260*h*s**2 wrt s?\nAnswer: 2580*h*s**2 + 216*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917579?\nAnswer: 7, 416797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206342 is divided by 103132.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 860, 1274, 1684, 2090?\nAnswer: 2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302853 is divided by 95?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*v**3 - 7*v - 48*v**3 + 7*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2 - 119*j - 234 = 0.\nAnswer: -117, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(4\/5)*w*w**(-11) assuming w is positive.\nAnswer: w**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 8*x**2 - 9*x - 7. Let c be m(6). Find the second derivative of -c*k**2 + 62*k - 6*k - 4*k + 68*k**3 - 67*k**3 wrt k.\nAnswer: 6*k - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**3 + 2*y**3 + 7*y**3 + y**2 - 3*y**3 - 15*y + 3*y**4 as v*y**4 + u*y**3 + i*y**2 + b + h*y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062678?\nAnswer: 2, 17, 19, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*d - 33, 4*d - 56 = 5*w - 17. Suppose 3 = 3*q - d. Find the second derivative of 3*h - q*h**3 + 5*h**3 - 3*h + 5*h wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27279 and 14679?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 1871 = 5*g - 4773, -2*g + 2653 = -n. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/547127 and 19\/45402.\nAnswer: 75503526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3755\/2*m + 1753\/2*m**2 - 525 - 117\/2*m**3 - 35\/2*m**4 + 2*m**5 = 0. What is m?\nAnswer: -7, -1\/4, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/4 - 5*l**3\/3 - 2*l**2 + 12. Give i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85\/528 + -1\/176. What is the nearest to x in -3\/2, -3\/4, -5, 9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2914 or -2919?\nAnswer: -2914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 453\/(-302)*((-22)\/12 + 2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 621*u + 18954.\nAnswer: -3*(u - 234)*(u + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -46\/2163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let x(l) be the first derivative of 2*l**3 + 3*l + 31. Calculate x(y(w)).\nAnswer: 24*w**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 1:30 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 20 = -0*k, 27 + 6 = 4*m - 2*k - 41 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 183*n - 8200. What is v(33)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -10, -8, 2, -213 in descending order.\nAnswer: 2, -2, -5, -8, -10, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/160 and -17\/60.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 232.5873468\nAnswer: -206.5873468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 660*h**3 + h**2 - h. Let z be k(1). Let m = z + -416. Let a = 407 - m. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -6*(sqrt(153) + (sqrt(153) - (1 + sqrt(153))) + 1 + sqrt(153) - (sqrt(153) - 6*(sqrt(153) - (0 + sqrt(153)))))*-6)**2*-6.\nAnswer: 6480*sqrt(17) + 5948670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*p**2*u**3 + 5*p**2*u**2 - 27*p**2*u - 220*p**2 + 3*p*u**3 - 27759*p*u**2 - 9*p wrt p?\nAnswer: 90*u**3 + 10*u**2 - 54*u - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = 0. Suppose -c - 1 + 0 = s. Let n be 145\/(-25) + c\/5. Let x(o) = 8*o - 4. Let p(k) = -7*k + 3. What is n*p(b) - 5*x(b)?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2365*j**2 + 2327*j**2 + 3816334*j - 3816334*j.\nAnswer: -38*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*t + 14 = t, -j + 5 = -2*t. Let w be 4\/6 + 16\/j. Suppose 5*f - 124 = 1. Solve 0 = z - w*z - f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from kkxxxk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjpsujeuxpj. What is prob of picking 2 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198659913?\nAnswer: 3, 66219971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -7*m**3\/3 - 5*m**2\/2 + 28*m + 19. Let y(j) be the first derivative of b(j). Differentiate y(f) with respect to f.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186 - b - 186 - 23*b**2 to the form z*b**2 + o + j*b and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62250 + 62980*i + 62250.\nAnswer: 62980*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**3 - 4*w**2 + 6*w - 7. Let h be n(2). What is the highest common factor of 203 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1\/7, 0, 3, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 14. Let w = f + -1. Solve -1 = w*g - 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away -4.27924987757?\nAnswer: 13.27924987757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -7, -1, -13 in increasing order.\nAnswer: -13, -7, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*d + 395 = 0, -d + 80 = s - 0*s. Suppose -3*m + 235 = b - 3*b, -m + s = -4*b. Let i = m - 397\/5. What is the smallest value in -1\/25, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m - 2. Let t be l(3). Suppose 0 = c + 3*s - t, -2*c + 4 + 2 = -2*s. Solve c*y = 4*p, -5*y = -y + 5*p - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 2372088?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from -1194.\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36 - -10 - -6 - -12\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 9 = 2*q - 3*q, 6 = -2*l. Let o = 7 - q. Let u(c) = -5*c - 33. Let s be u(-7). Sort o, -4, s in decreasing order.\nAnswer: s, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 24 (c) -0.5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.8 - 3. Let j = 9.2 + t. Let y = j - 12.5. Which is the third biggest value? (a) -0.5 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/8)\/((-5)\/(-10)). Is 199*-2*h + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 11*q + 12. Let a be t(12). Suppose 0 = -o - a*o - 2. Is (-5)\/(-4)*(2 - o) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -38. Let m(k) = 20*k + 1101*k**r - 47 + 37 - k. Let h be m(15). What is h rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -48. Suppose -c + 3*c - 480 = -h*a, -c = 0. Calculate the highest common factor of 160 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6636 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-10) - (-16764)\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/3, -619, -80, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (588\/63)\/14*(7 + 535\/(-40)).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l**2 - 2*l + 21. Determine a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c + 2. Suppose y - 8*u - 7 = -7*u, 5*u = -y - 17. Suppose 4*t - 6*t = 46. Let k = 24 + t. Let b(v) = v - 1. Give k*z(i) + y*b(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8510 + 3090. What is i rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44661 smaller than 44662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28d20b6 + -17?\nAnswer: -28d20cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49734, -199454, -449158, -798846, -1248518?\n\"Answer: -49992*r**2 + 256*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13490*i = -13133*i + 34629 for i.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 15*w + 208 = -18*w. What is the greatest common divisor of 19201 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 908. Let d = 31\/39 - 3221\/78. What is the common denominator of 1\/(-4) + s\/(-28) and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*l - 8, 3*l - 40*w + 26 = -36*w for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*d**2 + 684*d.\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:37 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(1 + -2) - -1. Let r be (-3)\/15 - 84\/(-20). Suppose -r*i - 4*q = -8, 0 = -2*i - 3*q + 4*q + 10. Solve -z + i*z = v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 3*o**2\/2 + 5*o + 34. Suppose -4*y = 61*v - 62*v - 17, -6 = -2*v. Calculate p(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -3*w**2\/2 + 5*w - 30. Calculate x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5 - 2*j + 4*j + 5*j + 5*j**2 - 3*j**3 + 2*j**3. Let u be f(6). Let p(m) = -14*m - 1. What is p(u)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029789 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2410, 0, 9282 in ascending order.\nAnswer: -2410, 0, 9282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 961*j**8\/8 - 1165*j**4\/6 - 1106*j. What is the third derivative of z(m) wrt m?\nAnswer: 807240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 7:23 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 313344 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: Let d(u) = -u**2 - 1. Let x(s) = -233*s**2 + 5*s - 200. Let v(b) = -350*b**2 + 8*b - 301. Let g(n) = -5*v(n) + 8*x(n). Calculate 95*d(o) - g(o).\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 81980849, 163961697, 245942547, 327923399?\n\"Answer: f**2 + 81980845*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7 = 2*z - 2*c, 0 = -4*z + 4*c + 44. Let j(l) = l - 3. What is the units digit of j(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74396*p - 5*a - 20 = 74391*p, -4*p + a + 18 = -4*a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51023341321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1548126 to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 63228600 to the nearest 1000000.\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 - -69b8?\nAnswer: 6a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3018483 bigger than 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0) + (36 - 15) + (-6 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121730 and 42?\nAnswer: 365190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 7*a**3 - 8 - 4 - 18.\nAnswer: 7*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -18. Suppose w - 2*j = -x, -j - 1 = -5*w + 5. Let k = -53 + 53. Solve k*c = -w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 401e?\nAnswer: 401a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/132 + 616\/(-32).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.435618 milliseconds in hours?\nAnswer: 0.000005121005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0045344 to five dps.\nAnswer: -0.00453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 4, i: 3, e: 5, y: 1, v: 1}. Give prob of sequence evy.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -36) + -26 + 4 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*c**2*m**5 + 5*c**2*m + 2*c*m - c - 379*m**5 + 5*m - 11 wrt m.\nAnswer: -960*c**2*m**3 - 7580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/30)\/((-130)\/325). What is the fourth biggest value in 3\/2, -0.1, c, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.29, 1\/2, -2 in ascending order.\nAnswer: -2, -0.29, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v**2 + 52*v - 611. Let c(b) = -8*b**2 + 51*b - 585. Let z(o) = 8*c(o) - 7*d(o). Find i such that z(i) = 0.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-65))\/((-7)\/35)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 129\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15916621.\nAnswer: 7, 23, 29, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 3243. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*m - 3*m = 37, 3*u - 41 = 5*m. Calculate the smallest common multiple of u and 286.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/(33\/66)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/180 - 2*d**3\/3 + 3*d**2. Let l(y) be the first derivative of q(y). Let v(p) = -4 + p + 4. Give l(v(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n**3*v + n**3 - 162*n**2*v - 165*n*v - 218*n + v + 259 wrt v.\nAnswer: 3*n**3 - 162*n**2 - 165*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + 3*q - 6. Let c(b) be the second derivative of -b**4\/12 + b**3\/3 - b**2\/2 + 50*b. Let z(x) = -4*c(x) - 2*u(x). Let z(o) = 0. What is o?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 6*i**2 + 15*i - 10. Let h be g(-8). Calculate the remainder when h\/(-6) + 4240\/24 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j + 4*y - 14, 4*j + 2*y = 14. Suppose -8 = 2*o - j*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.908*-0.3\nAnswer: 3.8724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 490, 491, 492, 493, 494, 495?\n\"Answer: b + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3640 and 368?\nAnswer: 167440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3453.8666 + 3454. Round j to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2. Let v(n) = n**2 + n + 11. Give -14*q(s) - 2*v(s).\nAnswer: -2*s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326270, -652537, -978804, -1305071, -1631338?\nAnswer: -1957605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lul when three letters picked without replacement from lluuuuuuuuluuuluul.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a. Let d(f) = 308*f - 70. Let h(u) = 3*u - 2. Let z(o) = d(o) - 35*h(o). Calculate q(z(c)).\nAnswer: -203*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + -1 + 3 + (21 - -1161)?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1527688*j - 12221508. What is t(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**4\/12 - 19*j**3\/6 - 1420*j**2. Determine x(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-10 + 5) - ((41 - -92) + -11)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 232*q + 5136. What is i(-33)?\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 5. Let f = -53 + 53. Calculate q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403073126 a multiple of 5915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 0 - (20 + -20 + -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 32*p**2 + 101*p + 8. Determine d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.38161t in grams?\nAnswer: 7381610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 13. Let g(z) = 2*z + 14. Let t(u) = 5*c(u) - 6*g(u). Let w = -339 + 350. Does 3 divide t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:10 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 1\/5 (b) -0.4 (c) 2\/11 (d) 100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1734*v = -1706*v + 280 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119*m**3 + 6*m**2 - 4*m + 1094 wrt m.\nAnswer: 357*m**2 + 12*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/56)\/((-6)\/(-16)*1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574 - 289 - 285 + 7*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 + -303 + 4 + 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**14\/u**(1\/10) assuming u is positive.\nAnswer: u**(139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 28 (b) 1 (c) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 1\/(-2))*2. Let z(i) = i**2 - 1. Let a be z(h). Let c = -2 + a. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*i - 161*i - 504. Is -63 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 165 = -87. Let y be (-3)\/t*(14 + -8). Let c(o) be the third derivative of o**6\/15 - o**5\/60 - o**2. Give c(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((3 - 7)\/4). Solve f = -f + x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x - 34*x + 10547 = -1218. Solve x*w - 180*w = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -4 (c) -2 (d) -14 (e) 0 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4440476 bigger than -4440476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyy. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/36)\/((-2)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 + 29527*b**3 + 1211813*b**2 + 14043717*b + 32022144 = 0. What is b?\nAnswer: -19, -3, 29568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950941 - -3?\nAnswer: 2950944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116853 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = 32*k - 38 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**3 + 7*s**2 - 15*s + 7. Let g(m) = -6*m**3 - 4*m**2 + 8*m - 4. Calculate 7*g(u) + 4*k(u).\nAnswer: 2*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (621220\/(-1800))\/(-89) + 2\/36 - 3?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 169.0064ml?\nAnswer: 0.1690064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 81. Suppose -5*h + 10*h - 17 = n*k, 5*k + 5*h - 45 = 0. Suppose k*g - 8*g - 2540000 = 0. Round g to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-21))\/(12\/(-210)*-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*k**4 + 72*k**2 + 56*k**3 - 35*k**4 - 34*k**4 + 101*k**4 wrt k.\nAnswer: 48*k + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6910494*i**2*t**2*x**6 + 3*i**2*t**2*x**2 - 110585*i**2*t*x**2 + 3*t**2 wrt x.\nAnswer: 829259280*i**2*t**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 259, 548, 931, 1396, 1931, 2524?\nAnswer: 3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4824586 - 0.2.\nAnswer: 4824585.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q. Let w be 0\/3 - (1 + 0). Let c(p) = -p - 1. Let u(l) = -2*l**2 + 8*l + 8. Let d(h) = w*u(h) - 8*c(h). Calculate d(a(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8863168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 189622 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(-2\/3)*f)\/f))**(-8\/7)\/(f\/(f*f**(2\/3))*f**(1\/2)) assuming f is positive.\nAnswer: f**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cc52 - -a7?\nAnswer: cd09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, and 1 g when three letters picked without replacement from fygjffgyfmjm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -836, -2 in decreasing order.\nAnswer: -2, -5, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(304)*-1 + 2)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*i = -45, 14*i = -3*v + 11*i. Solve 4*q - 2*w - 22 = 0, -3*w + v - 14 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15c5dc (base 15) to base 14\nAnswer: 1d6336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-36) - (-3 - 225\/(-81)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 362*x - 22196. Calculate p(61).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18479 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.6 + -26.988. Let l = -0.312 + a. What is the smallest value in -0.2, l, -0.4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x + 0*x + 0*x)*(-2 - 3 + 2 + (-2 + 0 + 3)*(-2 + 3 - 2) + 0 - 3 + 4)*(-18867 + 9932 + 9391) to the form z + o*x and give o.\nAnswer: -8208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 + -11)\/(-14 + 12). Solve k = -6*b - 5*b - 13*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8798753.\nAnswer: 283, 31091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -4446?\nAnswer: -4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 - 7*v**2 - 5*v + 12. Let y be (0 - (0 + 2))*(-1 - -5). Let i be c(y). Let s = i - 1473. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(15)\/sqrt(3))*4 + 5 - (3*sqrt(180) + (sqrt(180) + 0)**2).\nAnswer: -183 - 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 1029 = -3*g. Suppose n = 4*z + 161, -82 = 2*z - 3*n - 9. Let o = z - g. What is the smallest common multiple of o and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1384 and 202583.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 3*h + 37, 3*o + 31 = 252*h - 256*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1530 (b) 852 (c) -3 (d) 1\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 89. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37619081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/192 and -73\/144?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4*l**3*r - 376233*f**2*l**2*r - 6*f*l**3*r - 115*f*l**3 + 2*f*l*r - 2*f*r - 57*l*r - 2 wrt f?\nAnswer: 12*f**2*l**3*r - 752466*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 23*x**3 - 144*x**2 + 252*x.\nAnswer: -x*(x - 14)*(x - 6)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -67 (b) 1\/111 (c) -0.147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 0*n + 4*n)*(-24 + 50 + 53) to r + o*n and give o.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**4 + 4 - 2*r**3 - 4*r**2 + 13*r**4 - 4*r**4 - 3*r**2 in the form t + g*r**2 + p*r + u*r**3 + q*r**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 10, 0.3, 0, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414, -1557, -3456, -6105, -9498, -13629?\nAnswer: -18492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 128100800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*l + 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 a when four letters picked without replacement from tpataaattaapatt.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5116878 and 12987.\nAnswer: 5116878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 + 25*j**3 + 99962*j**2 + 65356827*j.\nAnswer: -12*j**2 + 150*j + 199924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + 96*h - 3591. Give l(-54).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 20 + 455\/7. Solve 74 - 326 = -j*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-8)\/(-48))*(-4)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -8*z**2 + 0 - 1\/6*z**3 + 0*z - 1\/60*z**5 + 0*z**4. Let k(b) = -2*b**2 - 2. Give -3*k(u) + 8*w(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 127 - 38 - (-45 + 16).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -5*v**2\/2 - 12*v - 11. Let a be x(-5). Let n = 2 - -24. Calculate the highest common divisor of n and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42101088 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:37 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 6:38 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -573061 + -430?\nAnswer: -573501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 0, -13 = 3*c + 5*l - 44. Let m(x) = 8 - 8 + 0 + c*x**2. Let w(d) = 4*d**2. Calculate m(w(q)).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40868 + -17654843\/432. What is the common denominator of -25\/6 and l?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013595334 rounded to five decimal places?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 35 + v**2 - 35 as q*v**2 + j*v + f and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(0 + -1) + 3. Suppose -2 = y, -4*u + 2*y + 1 + 27 = x. Find the first derivative of 35*n**2 + 2*n - 40*n**2 + u - 2*n wrt n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78505 divided by -99\nAnswer: -78505\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 585481 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/5 - 2*g**4\/5 - 9*g**3\/5 + 22*g**2\/5 + 4*g\/5 - 24\/5.\nAnswer: (g - 2)**3*(g + 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10) + 2 + (-43355)\/(-25). Let v(x) = -1736*x + l*x - 5*x**2. Let b(f) be the first derivative of 3*f**2\/2 - 1. What is v(b(w))?\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1) - (28 - 0). Let y = 31 + t. Is 519 + (y + -4)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421300 divided by -355325?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 3. Suppose 0 = u - 182 + f. Suppose -3*z + k = -u, -z = z - 3*k - 121. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/360 - 49*x**5\/90 + 305*x**4\/8 - 900*x**3 - x**2 + 2453. Determine g so that v(g) = 0.\nAnswer: 8, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87221 + -43760. What are the prime factors of w?\nAnswer: 3, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 44. Suppose 4*n - 12 = 4*s, 2*s + i = -5*n + 33. Solve n = -2*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 242040, -3.\nAnswer: -5, -3, 242040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3082080\/17 or -181299?\nAnswer: -181299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299591229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/12 + t**3\/3 - 8*t. Suppose 2*o - 4*j - 5 = 3, 0 = 5*o + 3*j + 19. What is l(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92535 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 668*i + 21840.\nAnswer: -2*(i - 364)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d - d + d)*(-6 + 2 + 2) - 10*d - 13*d + 7*d)*(0 + 0 - 1).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/37 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = c + 3*y, -4*c + 53 = -3*c + y. Let s = -86 + c. Which is smaller: -32 or s?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6228 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -807438, -807437, -807438, -807441?\nAnswer: -807446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*a + o + 1, 3*a = -o - 33. Let m = a - -9. Let b be -1*(-2 + 13)\/m. Calculate the greatest common factor of 44 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -26.38 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 70. Determine q(8).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -1)\/(3*(-1)\/2633) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y. Suppose s + y*s = 8. What is the least common multiple of 10 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6380 + -6380.025306. What is t rounded to 3 dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-2) - (-28)\/(-140)*-40. What is the greatest common factor of 114 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*y**5 - 11 + 5)*(885 + 606 + 1673).\nAnswer: -6328*y**5 - 3164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, b: 4}. Give prob of sequence tbbt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k + 52*k = -6. Suppose -4*u + k*m + 26 + 828 = 0, u + 4*m = 236. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37247*v + 9343*v + 9238*v + 9333*v + 9332*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46 + -0.06. Let t = 0.9 - 1.15. Let o = t + 0.55. Which is the third biggest value? (a) -0.1 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -163 (b) -61 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 - 606*v**2 + 1211*v - 1816\/3.\nAnswer: (v - 1816)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*r + 151*r + 2*r**3 + 284*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 6*o**2 + 5*o**2 + o.\nAnswer: -o**2 + 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106.785 rounded to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*h - 24, -h + 28 = 5*k + h. Suppose 0 = m + k*n - 21, -49 + 7 = -5*m + n. What is the lowest common multiple of m and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*j - 5*s, 688*j - 5*s + 30 = 683*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(63\/138))\/((-8)\/(-12)). Is -3 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u*x**5 - 629*u*x**3 - 22*u*x - 46*u wrt x.\nAnswer: -40*u*x**3 - 3774*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73625 is divided by 4598.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*u - 248*u - 4*a - 12 = 0, -3*u + 4*a = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3317 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 8. Let d = u + 3. Let t(b) = 2*b**d - 31*b + 3*b**3 - 4*b**2 + 1 + 31*b. Calculate t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 189 + 2?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 67. Suppose 20 = -2*v + 4*z - 38, 10 = -5*z. Let m = 47 + v. Is m at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26546116, -26546113, -26546110, -26546107, -26546104, -26546101?\n\"Answer: 3*p - 26546119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.017 + 6. Let d = 215.183051 + -215.2. Let p = l - d. What is p rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158969 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16379714 from -4.\nAnswer: -16379718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3998 divided by -17?\nAnswer: -3998\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 = -k + 4*k, k - 8 = -5*f. Let w be 1\/3 - k\/24. Find the second derivative of 8*a + 2*a**2 + w*a - a wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**2 - 3*y - 2. Give n(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from styjb. Give prob of sequence yjt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 25*u + 74871. Suppose -7*o = -u - 2342. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1429 = -218*t + 1623 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -11*z**4\/4 + 2*z**3\/3 - z + 7. Determine y(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247462802 - -0.0696?\nAnswer: -247462801.9304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = 2*l - 34. What is the biggest value in 1, l, 2\/5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3841 - 2032. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1492 or -0.8?\nAnswer: -1492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmtk when four letters picked without replacement from {d: 1, g: 2, k: 1, x: 1, t: 2, m: 7}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6)*(0 - -376). Suppose -5*s + s = -3*o + c, 0 = o + 3*s - 54. Suppose -5*m + 2*m + o = 0. Solve -4*y = -2*p - 18, p + m = -4*p + 5*y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132606943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2.1 (b) -3 (c) 0.3 (d) -5 (e) -1576 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-1 + -2) + -10. List the prime factors of 3\/(1\/((-20)\/c)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*u - 56*u - 6 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 - -101. Suppose s + 3 = 0, -k*v + 4*s + 64 = s. Solve 4*t + 3*c = 1, 0*t - 4*t - v = -c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283709.\nAnswer: 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 69574131 divided by 675477\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (70223 + 24*w - 70223)*(-w + w + 2*w**2)*(-2 + 1 - 1 + 1 + 2 - 1 + (-3 + 3 + 1)*(-4 + 2 + 4) - 1 + 2 - 2) as g*w**3 + v*w + l + m*w**2 and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**4\/6 + 7*i**3\/3 - 467*i. Let g(k) = 0. What is k?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a kilometer in meters?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(9\/(-6)) - (-24)\/9. What is the hundreds digit of (-1)\/x - (-682)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 30 = -0*n - 4*n, n - 4 = 2*i. What is the remainder when 15 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f + 587. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11041*f + 11226. Determine v(1).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2. Let n(s) = 4*s + 1910312. Give n(y(r)).\nAnswer: -4*r**2 + 1910312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.05, -1, -0.5, -47, -11, -8, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, r: 1}. Give prob of sequence rff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m - 66. Let d be s(13). Let t be d*(0\/3 - 3). Solve -15 = 3*k - r + 3*r, -2*k + t = -3*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 28 = 5*v - q, -2*v + 12 = q. Let d be -180*(v\/6)\/2. What is d rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15353471?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:56 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.50126 + -0.50125973453. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1108 - -5737. What are the prime factors of t?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 486967 divided by -2.\nAnswer: -486967\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10631480 (base 9) in base 6?\nAnswer: 302315543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x - 12. Let z(u) = -3*u - 6. Let w(f) = -6*o(f) + 13*z(f). Let d = -11 - -7. Let b be w(d). Solve 0 = -b*n + 2*n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 54. Let x = -0.6 - -1. Let r(s) = -6*s**2 - 2*s - 1. Let k be r(-1). Which is the closest to -0.2? (a) k (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79045?\nAnswer: 5, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 + (-3)\/6. Let u be (-4)\/(-3) - (-3)\/(-2). Which is greater: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4\/3, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 + y**3 - y. Let l(f) be the third derivative of f**5\/30 + 13*f**4\/24 - 6*f**2. Determine -6*l(w) + 13*s(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12123 + -220202?\nAnswer: -202013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.1 and 138249.\nAnswer: -290322.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14490 and 2415?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - k + 46 - 179, -5*k = z - 11. What is the remainder when ((-34)\/(-8))\/((-3)\/(-72)) is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3. Let g(y) = y - 8. Calculate -3*g(z) + 8*i(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*a + 26 - 86 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 4164073.\nAnswer: -29\/4164073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.707?\nAnswer: 0.3535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) - 95\/(-35). Suppose 0 = -4*z - 12, -10 = -m + 3*z + h. Put 1, 2, m in decreasing order.\nAnswer: m, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4046094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*k + k + 2*k)*(-1 + 1 + k) - 3*k**2 + 5*k**2 - k**2)*(9*k**2 + 5 - 6 + 0*k**2) to the form w*k**3 + f*k**2 + y + q*k + t*k**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:23 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1101 + -9911\/9. What is the closest to -1\/3 in q, 0.01, -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -12. Let h be 2\/q - 10\/(-4). Find the common denominator of (2 - 1)*73\/h and 51\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i, -y = -2*y - 5*i + 1. Let l = y + -13. Suppose l = k - t - 2, -5*k + 2*t = -10. Solve -4*u = -4 - k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 + 399*n**3 + 2313*n**2 + 3429*n = 0. Calculate n.\nAnswer: -127, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4337*x + 1448*x + 2897*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/2 - 3*q**2\/2 + 48*q + 90.\nAnswer: -3*(q - 6)*(q + 2)*(q + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209 - 2715\/13. Which is the third biggest value? (a) x (b) 0 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 141. What is the highest common factor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(2 + 0 + 0) + 3 - 2 - 3)*(0 - o + 0).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1012*r - 11. What are the prime factors of n(-1)?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 184, 185, 186, 187, 188?\n\"Answer: f + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 666012732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 66?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*sqrt(693)*-1)\/sqrt(11))**2 + (4*sqrt(847)*2 - 4*(sqrt(847) + 2)).\nAnswer: 44*sqrt(7) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 219\/12 - 1\/4. Let z = b - 12. What is the units digit of -2*(135\/z)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcpbjpbpppbppjpppop. Give prob of sequence pj.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 4*s - 11. Let l be x(-4). Let v = 33 + l. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 9. Let n(i) = i**2 + 7*i. Let w be n(a). Let o = -68 + 73. Solve -o*s = -w + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -99, -129, -147, -147, -123, -69, 21, 153?\n\"Answer: c**3 - 37*c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) - (-5)\/4. Let x = 3 + -4. Let k = -0.5 + 0.3. What is the nearest to x in d, 1\/6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4 = -4, -10*k + 44 = 3*a + 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15105 divided by -3021\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - 4. Suppose 0*d = -a*d + 18. Suppose -2*i = 3*f + d - 35, -2*f + i + 15 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 288901 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -3 (c) 34 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*z = 39, 2*d - 2*z = 3*d - 2. Let h = 11 - d. What is the third derivative of -2*l**3 - 2*l + 2*l - l**2 - l**h wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)\/m*m)**(2\/11))**(-3\/28) assuming m is positive.\nAnswer: m**(-3\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l + 4 - 15*l + 39*l - 4. Let t(y) = -62*y**2. What is t(b(v))?\nAnswer: -10478*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 3\/2440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 915906*m\/11 - 96148080\/11.\nAnswer: -2*(m - 457848)*(m - 105)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -60331 (base 10) to base 6\nAnswer: -1143151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 17*l**2 - 15*l - 17. Let w(g) = 6*g**2 - 5*g - 6. Let f(y) = -2*y**3 + 83*y**2 + 223*y - 136. Let j be f(44). Calculate j*b(m) + 11*w(m).\nAnswer: -2*m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214.97 + -2.03. What is the third biggest value in 1\/2, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x**3 - 32*x**2 + 24*x - 92. Calculate p(5).\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.86079 + -0.86. Round o to 5 decimal places.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x = -14*x + 342 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1093 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 131*a + 198. What is g(-2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/117*(-4)\/6.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 7*i - 9*i)*(-2*i**2 - 3*i + 3*i)*(-1 - 2*i + 1).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(180) + sqrt(45)) - sqrt(45) - 5*sqrt(180))\/(sqrt(441)*-2*-3 - ((-2*sqrt(441)*1 - sqrt(441) - sqrt(441)) + sqrt(441))))**2.\nAnswer: 320\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2839772 and 70120524.\nAnswer: 911566812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2? (a) 1 (b) 10\/3 (c) 4710 (d) -2 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**3 - 21*x**3 + x**3)*(134*x - 26*x + 92*x) - 3*x**4 + 2*x**4 + 0*x**4 as s*x**2 + n*x**3 + r*x + a + t*x**4 and give t.\nAnswer: -4201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 6*p. Let d be m(6). Let h(v) = v + 1. Let r be h(d). Which is the nearest to r? (a) 0.2 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1226, -2193, -3160, -4127, -5094?\n\"Answer: -967*v - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5344\/(-6)*(-22)\/(88\/(-6))*-30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:42 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 214163 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 398*h - 397*h.\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*w - 940*w + 468*w = -12*o + o + 35, 5*w - o = -30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(3*u + 0*u + 2*u)*(8*u + 31 - 31)*(2 - 2 + 1)*(-2 + 3 - 2) + (u + u - 3*u)*(5*u - 3*u - 3*u) + 0*u**2 - u**2 + 2*u**2.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4\/4 + h**3\/3 - h**2\/2 + h + 10. Let x(q) = -11*q**3 + 5*q**2 - 5*q + 5. Give x(l) - 5*z(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -221.9, 7\/192, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and -0.0460867588681.\nAnswer: 9.9539132411319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*v + 13*v - 22 + 473 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 4. Let s be d(-2). Let u = 34 - 32. Suppose 0 = -5*p - z + 79, 44 = 3*p + u*z + s*z. What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1511 - -0.2.\nAnswer: -0.9511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/33 (b) -3 (c) -0.5 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((1 - -6) + -2 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 9. What is the least common multiple of x(-6) and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(55)\/(sqrt(5) + -5*sqrt(5)) - sqrt(11)) + sqrt(11) - sqrt(22)\/(sqrt(2)*-2))*-6)**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 78. Let v(m) = -m**3 + 0*m**2 + 5 + 2*m**3 + 3*m**2 - 4 - m. Calculate v(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + 100010?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c20a (base 13) to base 4.\nAnswer: 1011101301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**5 + 315*d**4 + 5310*d**3 - 27880*d**2 - 1447680*d - 9676800 = 0. What is d?\nAnswer: -28, -18, -16, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 + 156. Which is the nearest to -0.1? (a) k (b) -3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225 + -805. Let s = -123 - w. Let q = s - 5043\/11. Calculate the common denominator of q and 101\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/306 and -13\/18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.259254 rounded to 2 dps?\nAnswer: 10.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -60*p + 20. Let g(x) = -40*x + 13. Determine 8*g(j) - 5*k(j).\nAnswer: -20*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {v: 2, s: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 32*q**2 + q. Let r(k) = 5*k**2 - 3. Let p(n) = 4*n**2 - 2. Let x(g) = 3*p(g) - 2*r(g). Determine y(x(b)).\nAnswer: 128*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v + 12 = 0. What is the units digit of v\/18 + (-94)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*o**4 + 4*o**4 - 6*o**4 - 3*o**4 - o + 2*o**3 to b + d*o**4 + s*o**3 + y*o + q*o**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401094639?\nAnswer: 3, 11, 1350487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 + 0*x - x + 2*x**4 + 0*x + (-1 - 10*x**2 + 1)*(0*x**3 + 2*x**3 - 4*x**3) - 90*x - 21*x**5 + 90*x.\nAnswer: x**5 + 2*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227791 - -399524. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4387, 4373, 4359, 4345?\nAnswer: 4331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347894.\nAnswer: 2, 47, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -399403892*w**3 + 517056531*w**2.\nAnswer: -2396423352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4796410.084 - 4804493. Let s = f - -8061. Let a = s - -22. What is a rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.5 and 0.131?\nAnswer: -2.0305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29 + 61*t - 4*t**4 - 50 + 21 - 6*t**5 wrt t.\nAnswer: -120*t**3 - 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60123 and 294?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 - 129 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5390 is divided by 684?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 158. Calculate the common denominator of -1 + 8 + 616\/w and 73\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44131*k**4 - 69541 wrt k.\nAnswer: 176524*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811748264 to the power of 1\/2, to the nearest integer?\nAnswer: 42565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 1 + 1 + 32*b**2.\nAnswer: 32*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5566, -11126, -16686, -22246?\nAnswer: -27806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76020 divided by 5.\nAnswer: 15204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:35 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/(-63)*1\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/7 + 4*w**4\/7 + 2*w**3\/7.\nAnswer: 2*w**3*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + (sqrt(171) - (1 + sqrt(171) + sqrt(171))))*6)**2.\nAnswer: -5832*sqrt(19) + 58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -216142.5 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7353622 grams in micrograms?\nAnswer: 735362.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c9 + -6?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 1 = 11*o - 23. What is the nearest to -3 in -7, o, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1095.76\nAnswer: -1095.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8460 and 10309920?\nAnswer: 30929760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3868*q**2 - 4149*q**2 + 792*q**2.\nAnswer: -7225*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 15 + 3 + 8. Suppose 3*o + x + 4*x + 3 = 0, -4*o = x - 13. Let i be g(o). Do -6 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 13*b - 12 = 0. Suppose 0 = m - 4*m + 69. What is the remainder when m is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(147) + 3 + -4)**2 - sqrt(147))*6*-4.\nAnswer: -7104 + 1008*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*i - 735 = 270 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161536003.\nAnswer: 29, 5570207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 10) to base 9\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + p = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/13 and -12948 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5\/3 - 247*p**4 + 7266*p**3 - 126790*p**2\/3 - 40121*p + 9657 = 0 for p.\nAnswer: -1, 1\/5, 9, 29, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -3, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 12*c**2 + 3*c + 15. Calculate q(-10).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/13043 + 13015\/91301. Suppose 0 - f*q**3 + 1\/7*q - 1\/7*q**2 + 1\/7*q**4 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577617829 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h + 263*h**3 - 263*h**3 - 6*h**4 wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.3. Let o = -1 + 5. Which is the second smallest value? (a) 0.2 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 - 24.7012\nAnswer: -27.1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 60)*4\/52. Solve q*j - 16 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 1 (c) -1\/2 (d) -3 (e) 4\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.00940501\nAnswer: -0.004702505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -147.\nAnswer: 23.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let p(k) be the second derivative of k**7\/840 - 7*k**4\/12 - 4*k. Let h(m) be the third derivative of p(m). Determine x(h(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245 + 114. Let k = 228 + g. Suppose -2*h - h - 5*n = -k, -4*h - 2*n = -148. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i**2 + 4*i - 8. Calculate q(3).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271.685 rounded to the nearest ten?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.57 + -0.3. What is w rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5328 and 115560?\nAnswer: 8551440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166301\/37 + 4495. Is 0 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1016.953 - -1018. Let f = r + 218.353. What is f rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 35*o)*(1 + 1 - 3)*(-6*o - 4*o + 3*o).\nAnswer: 245*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -8919\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, b: 1, w: 6, u: 6, p: 2}. What is prob of picking 2 w and 2 e?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4295, 4285, 4271, 4253, 4231?\nAnswer: 4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 284 = 10. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423816 divided by -70636.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 1. Let r(s) = -3*s**3 - 9*s - 5. Determine 5*h(w) + r(w).\nAnswer: 2*w**3 - 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -934, -4206, -9652, -17278, -27090, -39094, -53296, -69702?\nAnswer: -88318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-12)*0\/(3\/(-1)). Solve 3*q + 9 - 3 = n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17516, 24103, 30690?\n\"Answer: 6587*d + 10929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/2*153\/119.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140 or -7211\/52?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 4 = -62*k + 38 + 13. Let a = 15 - 11. What is the closest to k in a, 17, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 124. What is the remainder when 249 is divided by z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 2*w)*(2*w + 1 - 1) - 18*w**2 + 36*w**2 - 7*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -3 (c) -2\/13 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 - 44*b**2\/5 - 208*b\/5 - 256\/5.\nAnswer: -2*(b + 2)*(b + 4)*(b + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, c: 1, u: 2, m: 2, l: 1}. What is prob of sequence yuu?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*x - 4*p, -3*x + 4*p + 17 = -0*x. Solve -2*i + x*i = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l + 110. Let n(j) = j**3 - 4*j**2 - 7*j - 2. Let o be n(5). Let y = o + l. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, -8, -87, -238, -485, -852, -1363, -2042?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22, -55 in increasing order.\nAnswer: -55, -22, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23275, -43726, -64179, -84634, -105091, -125550, -146011?\n\"Answer: -o**2 - 20448*o - 2826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5077.26 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012126 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 8*u + 5*b - 12 = 0, 2*u + 2*b - 8 = 0. Solve 2*q - 4 = u*m + 4, -2*m = 2*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v + 8602 = 6*v. Are v and -505 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 + (-33)\/(-6) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52519.65 + 52478.650016. Let q = -96 + 137. Let h = n + q. What is h rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 29. Let p = 5 - z. Calculate the lowest common multiple of p and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/52 and 69\/124?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 2*w**4 - 2*w**2 + (5*w**4 - 6*w**3 + 6*w**3)*(-16 + 34 + 15)*(1 - 5 - 2)*(0 - 3 + 5) as c*w**2 + z*w**3 + v*w + a*w**4 + j and give a.\nAnswer: -1982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 14 = 15*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1308*n + 406 = -1279*n. Calculate the least common multiple of 2188 and n.\nAnswer: 15316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376.19 minus 122148.19?\nAnswer: -121772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 44 = i. Solve -5*n - 2*h = -i, -4*n + 1 = 3*h - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3 + 6*c**2 - 14*c + 33. Let o be b(-10). Find the second derivative of -40*j + 7*j + o*j**3 - 195*j**3 wrt j.\nAnswer: -174*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 13*l - 7. Let t be -1*1 - 64\/8. Let k be g(t). Suppose s = 124 - k. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 6*j**2 - 43*j - 7. Let q be b(-9). Are q and 138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let q(d) = 21*d + 1. Let g(x) = -x + 1. Let s be 2\/((-42)\/28*8\/6). Let u(c) = s*q(c) + 3*g(c). Determine p(u(y)).\nAnswer: -1152*y**2 + 192*y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 1, i: 2, g: 6, w: 4, e: 1}. What is prob of sequence eig?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:10 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7169 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*k + q - 3955 + 3069, q - 106 = -4*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (135\/2100)\/(9\/(-24)). Which is the smallest value? (a) 4 (b) y (c) 5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - (-2)\/(-1)) + (5068 - 4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + z = 4, 0 = 4*z - 6*z - 8. Suppose -3*q - y = -41, -5*q + m*y + 0*y + 61 = 0. Let i = -5 + q. Calculate the lowest common multiple of i and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41.26 - -42. Let r = u - 0.9. Let z = -0.29 - r. Round z to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 79*i = -77*i + 5, 3*t - 3*i = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4 = 4*l - 4*o, -2*l - 16 = 5*o. Let v be (-1)\/(l\/9 - 0). Factor 0 + 2\/7*p - 6\/7*p**2 - 2\/7*p**4 + 6\/7*p**v.\nAnswer: -2*p*(p - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/26 - 4\/(-26). Let a be o - -13 - (-1 + 1). Calculate the highest common divisor of a and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 - 5*l**2 + 10*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184648 = 23*l - 73504. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 265, 2, -5 in ascending order.\nAnswer: -17, -5, 2, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 2. Let v be m(0). Let w(n) = -6*n**3 - 2*n**2 - 2*n + 1. Calculate the remainder when w(v) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40503 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.44*-2356.5\nAnswer: -1036.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 8)*(-7)\/3. Let q = 7 - c. Sort q, -5, 2 in increasing order.\nAnswer: -5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680053?\nAnswer: 11, 211, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2808, 5, -29, -13 in decreasing order.\nAnswer: 2808, 5, -13, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649381 is divided by 4029?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 2*y = -4*d + 12, 4*y = -253*d + 255*d + y - 31 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1819 in 3\/4, 3, 4, 5\/3, 2\/5, -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109446551 or -109446552?\nAnswer: -109446552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrraarrrrrrar. What is prob of picking 1 a and 1 r?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (219 + -70 - 115) + 69?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72 in -7.7, 3\/4, -0.14, 3?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 51 = 4*r. Which is the closest to 12? (a) r (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavcgmgmw. Give prob of sequence wg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/4269702 and 1\/36.\nAnswer: 25618212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552515369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-12)\/n*n)\/(n\/(n\/(n*n**13*n*n))))**5\/(n**(-2\/7)*n**(1\/5)\/n*n*n*n**7*n\/(n\/n**(-2\/9))) assuming n is positive.\nAnswer: n**(-46523\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, j: 7, h: 1}. What is prob of picking 2 g and 2 j?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140.101 + 140.301. Let f = 2 - 5. Put p, 3, f, 6 in ascending order.\nAnswer: f, p, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 42, 77, 136, 225?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14417109 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1655, -1653, -1651, -1649?\n\"Answer: 2*n - 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5146 divided by 27631.\nAnswer: -5146\/27631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 414*r**4\/7 - 754*r**3\/7 - 14642*r**2\/7 - 2582*r\/7 + 20 = 0.\nAnswer: -5, -2\/9, 1\/23, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13100 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - -53416444?\nAnswer: 53416502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -397, -338, -165, 182, 763?\n\"Answer: 10*n**3 - 3*n**2 - 2*n - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/20 and 21\/192*1 - 0.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*c + 14*c - 55*c + (2*c + 0*c - 4*c)*(-2 + 2 - 1).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 14*q - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -282838\/9 - -31426. What is the nearest to -22 in 3, m, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1886 and 1148.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -37767.723*7\nAnswer: -264374.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 9*u\/4 - 34.\nAnswer: (u - 17)*(u + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -33 + (2 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -8. Solve 3*x = w - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-186)\/217*35)\/(6\/(-8))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 0.5, 4\/5, -6, -1\/9, 4 in decreasing order.\nAnswer: 4, 4\/5, 0.5, -1\/9, -6, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193.5 + -193. What is the second smallest value in 2, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/24 - 2*v**3\/3 - v**2\/2 + v. Let u(j) be the first derivative of q(j). List the prime factors of u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m**3 + 2*m**2 + 3*m**3 - 10*m**3 to u*m**2 + z*m + i + q*m**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = -238500000. What is s rounded to the nearest 1000000?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8409618 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) 2\/19 (c) -2\/19 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 34028.7 to the nearest 100.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138962267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-9 - -1 - (-11 - 1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1388\/9 or -153?\nAnswer: -1388\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 1 x when three letters picked without replacement from vvuvuuuxss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.72 + 2.22. Sort 44, -2, 1, s.\nAnswer: -2, s, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -t - 12, 12 = v - 3*v + 4*t. Let l(h) = 6*h + 1. Let n be l(v). Let o = n + 52. Calculate the smallest common multiple of 5 and o.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(sqrt(9)*3)*1)**2 + -4)*-1.\nAnswer: 23\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/163689 or -0.005?\nAnswer: 8\/163689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m**2 - 452*m - 1970. Give w(-25).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 0 + 112*z**2 - 1\/4*z**4 + 0*z - 1\/60*z**5 - 1\/6*z**3. Let a be 56\/(-10) - 4\/10. Give y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f + 1. Let v(n) = -709*n. Give t(v(p)).\nAnswer: -3545*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2299) + 2 + sqrt(2299) - sqrt(2299)) + 2)**2 + ((sqrt(19) - (-2*sqrt(19)*-1 + sqrt(19)) - sqrt(19)) + sqrt(1539) + 0)**2.\nAnswer: 88*sqrt(19) + 2996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2540, 2389, 2228, 2057, 1876?\n\"Answer: -5*a**2 - 136*a + 2681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-9)\/(-120)) + -1. Let i = r - 16. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40.9 + -41.166. Let n = 0.2425 + g. What is n rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318 by -6.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 2*i**2 - i + 1. Let l be u(2). Let x be (40\/2)\/(l*1). Let n = 28 + x. What is the remainder when 22 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7840.7 - 0.4.\nAnswer: -7841.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2387 = -3*d + 955. Suppose 0 = 3*i - 3*q - d - 197, -q = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20098728 and 5319?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28 and -71.\nAnswer: -19.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824035?\nAnswer: 5, 29, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(180)\/sqrt(3))\/(sqrt(3) + sqrt(1323)\/sqrt(9)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 9:57 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1)\/4*0)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110924921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -205 at most as big as -205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -4 (c) 3\/634\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.71 + -0.29. Let b = -23 - -393\/17. What is the nearest to b in 0, k, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -141*c - 38. Let s(b) = -2*b**2. Give s(j(t)).\nAnswer: -39762*t**2 - 21432*t - 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5*w*w**2*w)\/((w**(-3\/4)*w)\/(w*(w\/w**(-3\/4))\/w)))**(1\/6) assuming w is positive.\nAnswer: w**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*r - 190*r = 3*n + 10, 5*n = 2*r - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 = -4*t + 4, 2*g = 4*t + 36. Calculate the least common multiple of g\/(-20) - 21\/(-2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 12, -12, -56, -126, -228?\n\"Answer: -h**3 - h**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 4:18 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(15) - (sqrt(15) + sqrt(135)))\/sqrt(3)*2.\nAnswer: -6*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -334133 (base 6) to base 9\nAnswer: -42533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 148 (b) -1.3 (c) -50\/3 (d) -13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/8, 4, 23, 0.01 in ascending order.\nAnswer: -2, 0.01, 1\/8, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2e (base 15) to base 14\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2. Let b(i) = 7 + 2180*i**2 - 2160*i**2 - 7. What is b(o(h))?\nAnswer: 180*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/5))\/(a*(a**22*a)\/a*a*a) assuming a is positive.\nAnswer: a**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38703 is divided by 70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1832)\/2061 + 26\/9. Suppose -5*v = 17 - 7. Sort v, c, 57 in descending order.\nAnswer: 57, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 76\nAnswer: -5\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 3\/4 (b) -0.22 (c) -0.459 (d) -0.2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 259 = r, 5*j + 5 - 981 = 4*r. Let o = 240 + r. Solve 5*m - 16 = -o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + 0 + sqrt(2) + 1 - ((sqrt(200) - sqrt(200)*-1) + 4)**2.\nAnswer: -815 - 152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513, -1674, -2861, -4068, -5289, -6518, -7749?\nAnswer: -8976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116563*o**2*q**3 - 2254*o**2*q**2 - o*q**3 + 25*o*q + q**2 wrt q?\nAnswer: 699378*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -645487 + 5783192\/9. Let c = s + 2906. Calculate the common denominator of 43\/36 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 80. Let j be y(-26). Let s(x) = 11*x - 7. Is 3 a factor of s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 16*d**2 - 54*d - 16. Let j be p(11). What is the nearest to 2\/5 in -12, j, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*n + 183*n + 580*n + 500*n in the form t + r*n and give r.\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/276184 and 19\/184.\nAnswer: 276184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**3 - 3*x + 2. Let v(r) = -r - 3 + 6 + 3*r**3 - r - r. Let i(d) = -3*s(d) + 2*v(d). Factor i(p).\nAnswer: -3*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 4\/227?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 110. What is the remainder when 234 is divided by o(10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -52*v**2 - 16*v. Let k(b) = 10*b**2 + 3*b. Let q(h) = 14*k(h) + 3*m(h). What is the second derivative of q(w) wrt w?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 144*o**3 - 1114*o**2 - 1260*o.\nAnswer: -2*o*(o - 63)*(o - 10)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1*(-1 - -2). Let v(l) = l**3 + 4*l**2 - 3*l - 4. Let y be v(-4). Suppose -y = -2*m + 3*m - s*b, 2*m - 2*b = 8. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:23 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24856.5999965 + -24856.5. Let f = h + -0.1. Round f to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-4)\/(-32))\/((-4)\/(-8))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17154 + 46734?\nAnswer: 28570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 15. Let r be b(0). Suppose 120 = 5*z - r. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1341 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 3 = -i. Suppose -i - 15 = -h - z, -h - 4*z = -28. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) -0.6 (c) -2 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24217 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28509 + 157266 = 25*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 273 or 5\/4?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 173338.2 grams in tonnes?\nAnswer: 0.1733382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9316 by 81.\nAnswer: -9316\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 4*y = -3*z - 48, -3*z = 3*y - 30. Suppose 12*f = z*f - 98. Let n = f - -249. What are the prime factors of n?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/906 + -227\/453. Which is the closest to j? (a) -4 (b) -1\/5 (c) 0.7 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -336*z**2 + 13*z - 48330 wrt z?\nAnswer: -672*z + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 96\/43, 163?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(102) - sqrt(102)*-1)*4)\/(sqrt(378)\/sqrt(7) - sqrt(216)\/sqrt(9)).\nAnswer: 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((4*sqrt(33))\/sqrt(3)) - sqrt(832)*2*-6.\nAnswer: 385*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 53, 83, 115?\n\"Answer: j**2 + 25*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 5) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1094973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + (28 - 54)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 1167?\nAnswer: 98028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 102323?\nAnswer: -102324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**2\/2 + 6085*r\/4 + 169\/2.\nAnswer: (r + 338)*(18*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8610*v - 17100 = -8541*v - 8681*v + 26003*v for v.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*z - 121 = 29*h - 87*z, 4*h = -3*z - 19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -30*t - 2551. Let j(o) = -38*o**2. What is g(j(f))?\nAnswer: 1140*f**2 - 2551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(102) + 1*sqrt(102) + sqrt(102)))\/(sqrt(150)*1 - sqrt(6)))**2 - ((sqrt(17) + 1)**2 + -2 - (2 + (sqrt(68)\/sqrt(4))**2)).\nAnswer: -2*sqrt(17) + 165\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*5 - (0 + sqrt(300)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/((-9)\/45). Suppose -v + 523 = b*v - 2*g, 2*v = -2*g + 212. Calculate the highest common divisor of v and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 4196*z + 59063. Give g(-14).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567942, -1135878, -1703814, -2271750?\nAnswer: -2839686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-524)*7*16\/(-224)*-1?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/7)\/o*o*o*o**(-7\/2)\/o*o)\/(o**(-1\/3))**(1\/19) assuming o is positive.\nAnswer: o**(-2095\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 0. Suppose -y + 2*y = t. Let v be 100\/(-6)*(3 - y). Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -385, 220 in ascending order.\nAnswer: -385, -7, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -11. Suppose u = g*u - 2. Is (-1*u)\/(2\/(-32)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231502866559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 39211.5 to the nearest 100.\nAnswer: 39200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrrrpq. What is prob of sequence jrj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0 + 4. Suppose 330 = 2*z - 0*z + w*l, -z + 161 = 2*l. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2324*a + 16 = -2323*a - 4*q, -4*q - 16 = 5*a. Solve a = -3*c - 14 + 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 4722141.\nAnswer: 14166423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2. Let i(s) be the first derivative of 212*s**2 + 392. Determine k(i(h)).\nAnswer: -359552*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -953 + 6787. Suppose 4*h = -3*c + x - 1741, -h = -1. Is (7 - 6 - c\/2)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h - 1. Let c(d) = -5*d + 1. Let g(l) = 3*c(l) + 4*o(l). Let a = 34 + -33. What is g(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754138 divided by 649?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/6 + 2*q**2 + 170*q. Determine i(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95380, -95397, -95414, -95431, -95448?\nAnswer: -95465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128223727?\nAnswer: 3001, 42727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3424 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 4*t + 5. Let h be v(5). Let b be -1 + (-5)\/(h\/35). Suppose -k - 1 = -5. Is k >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 16*d = -152. Let p be 21 + (-8)\/4 + 1. Let q = d - p. Are -0.2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14323 at most as big as -14324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -786, -1540, -2282, -3006, -3706?\nAnswer: -4376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1399137 and 66531?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11208?\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -253?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i**2 - 133*i - 546. Give t(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 384663361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {i: 2, g: 1, b: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/5, -3, -277 in decreasing order.\nAnswer: 2\/5, -3, -4, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + 1*sqrt(228)*3 + sqrt(228))\/(sqrt(192)*-1).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -21.4. Let n = -1272.2 - -1272. Which is the biggest value? (a) -4 (b) -2 (c) n (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 583 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-3 + 0)**2*-4 - (1 + sqrt(1008) + -1 - (0 + sqrt(1008) + 4))**2.\nAnswer: -36304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744*x = -727*x - 170. Solve -x*b = -0*b + 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let j = 11 - 40. Let f = j + 39. Is u greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163\/5 - -509\/15. Solve i - 2\/9*b - 2\/9*b**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20*s**3 - 40*s**2 - 32*s + 28. Suppose -15 + 3 = -p. Let b(q) = -8*q**3 + 16*q**2 + 13*q - 11. Let n(y) = p*b(y) + 5*l(y). Factor n(g).\nAnswer: 4*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 - 107.94. Which is the fourth smallest value? (a) 0 (b) -2\/3 (c) -2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.2. Let f = 4.65 - -0.35. Put f, -2, o in increasing order.\nAnswer: -2, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1835\/546 + 3\/26. Let h = -26\/67 + -1475\/1206. Find the common denominator of o and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0.2, 3\/2, 38?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-21))\/((-147)\/294)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1001133022 (base 4) to base 10\nAnswer: 268234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 3. Let x(b) = b - 2. Let s(j) = -m(j) + 2*x(j). Let g(w) = -6*w - 5. Calculate 2*g(y) - 10*s(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24093786.\nAnswer: 2, 3, 19, 211349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22929000 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 6*i + 4. Let r(v) = -v**3 + 2*v**2 - 7*v - 5. Suppose w = -2*n + 87 - 103, 0 = w - 3*n - 9. Determine w*r(l) - 7*p(l).\nAnswer: 6*l**3 + 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49845 + (6\/27 - (-7040)\/(-576))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = p - 10. Calculate the greatest common divisor of 27 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33157 greater than or equal to 762636\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 2*w - w + (4 + 0 - 2)*(19 - 23 + 64)*(-6*w + 3*w + 4*w - w - 3*w + 5*w + (2 - 1 - 3)*(-3*w + 2*w + 0*w) + 4 - 4 + w).\nAnswer: 598*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1907 (c) 17117\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.78 - 7. Let g = r - -0.02. What is the second biggest value in -2, 3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzinnqnddnffinnnin. What is prob of picking 1 z, 1 i, and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/(-12)*-18 + (-100)\/(-25). Solve 0 = y*l + 33 + 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -340 - 15*p - 224 + 443. Let l be g(-8). Suppose c = 6*c + 15. Sort c, -5, l in ascending order.\nAnswer: -5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3175573 is divided by 176417.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 4*l + 4. Let t be s(-3). Let c(j) = -j**3 + j + 1. Let h(b) = -16*b**3 + 10*b + 14. Let w = 2072 + -2084. Give t*h(z) + w*c(z).\nAnswer: -4*z**3 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1239 = 128*f + 54*f - 217 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z - 2. Suppose 1 + 23 = 6*j. Let a be u(j). What is the highest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 10*u + 14. Let b be i(11). What is the highest common divisor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 7:28 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.115 - -0.315. Let f = -1 + 4. What is the nearest to m in 1, -3, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*i - 4942 + 814 = -101*i for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 5*h - 4. Let q be d(-6). Suppose q*b - 27 = 23. Let z = -124 + 222. Calculate the remainder when z is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**2\/8 - 27439*k\/4 + 752898721\/8 = 0.\nAnswer: 27439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(270\/24) - ((-80)\/12 + 7). Let d(i) = 13*i - 13. Determine d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 23 = -29. Let v = -8 + a. Let b be 49 + 16640\/(-384) - (8\/(-6) + -1). Solve v*s - 5*p = -5, -4*s + 2 = -2*p + b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = 26*z - 25 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64716*0.2\nAnswer: -12943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30 times 57\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14468*l - 14612*l + 9360 = 0 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 937, 3127, 7441, 14587, 25273?\nAnswer: 40207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l - 5. Let t(r) = 7*r + 2. Determine -3*j(s) - 7*t(s).\nAnswer: -7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427357*z + 142453*z + 142453*z + 142446*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14248 and 660751?\nAnswer: 5286008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 2*w + 6 - 3)*(-6*w**2 + 20*w**2 - 31*w**2).\nAnswer: -34*w**3 - 51*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccbbncbdcnn. Give prob of picking 1 d and 2 b.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 126. Let v = d - 63. Suppose -9*s - s + 220 = v. Calculate the highest common divisor of 22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 194*p + 90. Does 27 divide y(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 7*x - 28*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*x - 61*x - 36*x to the form o*x + g and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2849.\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -127. Suppose -5*l + p + r = 4*p, 3*p = 3*l - 42. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 65*u - 1. Let s(o) = -14*o + 30. Give 3*d(c) + s(c).\nAnswer: 181*c + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011001110110100010010001100 - 10?\nAnswer: 100011001110110100010010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4237820 * 3.\nAnswer: -12713460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.016 - -26.016. Let h = -26.00186 + c. What is h rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**5 + 5*w**4 - 2*w**2 - w. Let y(j) = -3*j - 43*j**2 + 9*j**5 + 39*j**2 + 11*j**4 + j. Let i(x) = 7*m(x) - 3*y(x). What is b in i(b) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.601744056 rounded to two dps?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 3*g**2 - 605 + 555 + 22*g. What is the tens digit of u(-29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 20. Let m be b(-11). What are the prime factors of 142\/m - (-8)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 3*a = 15, -1412*a + 5 = -5*n - 1407*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4774 and 83934081.\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1785487 + 10013 = 15*n. What is n rounded to the nearest one thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 9*o - 4. Let p be g(4). Suppose -f + p - 1 = 3*j, 5 = -f + 2*j. Let n = 4 + 2. Solve -7 = n*t - 4*t + h, -f*h = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let q(y) = -339490*y**2 - y + 9. What is q(c(h))?\nAnswer: -339490*h**2 - h + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y**2 - 2*y + 4. Let m(t) = -4*t**2 - t + 2. Let n(p) = 3*j(p) - 7*m(p). Calculate n(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 - -101100000?\nAnswer: 110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140076 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + h = -1, 2*h - 8 + 2 = 0. Let q = 7 + d. Suppose 4*r - 9 = q. Calculate the remainder when 8 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(-3\/5)*b)\/b*b\/b**5*b*b*b*b)\/(b*b*b*b\/b**(-1)*b*(b*b*b\/((b*b**(4\/7)\/b)\/b)*b)\/b) assuming b is positive.\nAnswer: b**(-281\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.41 + 52.41. Let k = -47 + y. Put 2\/11, k, -2\/5 in decreasing order.\nAnswer: k, 2\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1859.\nAnswer: -1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -1\/4*a**4 - 1\/6*a**3 + 0 - 2*a - 1\/20*a**5 - 1\/2*a**2. Determine i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3 + 2694*r**2 + 107*r + 125*r - 412*r + 3 + 124*r + 91*r wrt r?\nAnswer: -6*r + 5388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {x: 3, m: 4, y: 2, t: 1, h: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 + 6)*(-2)\/4. Let j be 4\/((-8)\/v)*-2. Let m(f) = f - 1. Give m(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o - 22 + 3*o**2 + 22*o + 22 in the form a*o + i + k*o**2 and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {k: 1, y: 4, s: 3, g: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v**(-3))**(-30)\/((v**(-1))**(-31)*v**0*(v*v**(-6))\/v*v) assuming v is positive.\nAnswer: v**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 + -0.31. Let l = -0.25 - f. Sort l, 0, 0.3, 5.\nAnswer: 0, 0.3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/2 + 58*p**4 - 2629*p**3\/2 - 70492*p**2 - 69120*p = 0. What is p?\nAnswer: -128, -27, -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 242082*n - 3235. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113.9 + -1017.\nAnswer: -1130.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4\/8 - 212\/8)\/((-22)\/77) and 962?\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 35*b**2 + 21*b - 483. List the prime factors of q(36).\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - j = 900, 1126 = 5*z + j + 10. What is the remainder when z is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 3\/2*a**2 - 1\/2*a**6 - 1 + 2*a**3 + 0*a**4 + 0*a - 6\/5*a**5. Factor n(m).\nAnswer: -3*m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14024660.43 rounded to the nearest 100000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68227 or -180?\nAnswer: -68227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46895 = -906*b - 25585 for b.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 311*i + 5. Let g(l) = -l**2 - 312*l + 7. Calculate -2*g(h) + 3*x(h).\nAnswer: -h**2 - 309*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -49)*(-12)\/15. Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/10, -0.17, -1\/6, -0.3, -167060?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*l + 2 - 21 - 18 wrt l.\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -23*h - 5. Let g be u(1). Calculate the remainder when (-7)\/(g\/492) - (1 + -2) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 2:37 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-42)\/(-9) + -4)*(252\/(-14) - -15). Let l be -2*3\/((-12)\/(-8)). Put b, l, 5 in descending order.\nAnswer: 5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-394)\/3743)\/((-1)\/(-399))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*k - 100, -19*k - 2 = -l - 24*k. Calculate the least common multiple of 6 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 97*r**2 + 198*r - 766. What is i(95)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -180036675 divided by -63505\nAnswer: 2835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360884225.\nAnswer: 5, 13, 1110413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 - -26. Let r be 2\/(p\/42 - 3). What is the greatest common factor of r and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 20015*w**2 - 705900*w - 3028500.\nAnswer: 5*(w - 4038)*(w + 5)*(w + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/14)*o**(2\/43)*o assuming o is positive.\nAnswer: o**(587\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.713784 less than 0.2?\nAnswer: 90.913784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 103. Give y(101).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1187*u + 895*u**2 - 1187*u to b + x*u + h*u**2 and give h.\nAnswer: 895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((sqrt(3) + 1)**2 + sqrt(3))*-3)*6*2.\nAnswer: 144 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*3\/(-6))\/((-168)\/(-42))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 6*d - 28 - 2*d - 14*d**2 + 19*d**2 + 12. Let t be c(5). Suppose -w + 2*w = -2*q + 102, t*w - 4*q - 360 = 0. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 12 = -4*k, 2*k - v = -5*v + 6. Suppose -s = -5*s + 5*c + 6, -2*s - k*c + 14 = 0. Let x = -5 - -10. Put s, x, -1 in descending order.\nAnswer: x, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(1 - 5 + 2) + (0 + 1 - 2)*(3 + 3 - 5))*(14112*i - 14112*i - 1393*i**3).\nAnswer: -4179*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.6 and 52711.\nAnswer: -1349401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - v - 4*v)*(2 - 5 + 2)*(109 - 108 - 153) to the form j + h*v and give h.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p**2 + 9*p + 31. Let s(l) = -5*l**2 - 4*l - 15. Determine 6*n(b) + 13*s(b).\nAnswer: b**2 + 2*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1\/7 (c) 6\/5 (d) -2 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 374 - 228. What is the remainder when 10069 is divided by m?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*-173*15\/2 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -318*l*t**2*z**2 + 16*l*t**2 - 27*l*z - 241*t**2*z**2 - t**2 + 7*z wrt z.\nAnswer: -636*l*t**2 - 482*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -3402?\nAnswer: 3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = 20. Suppose -3*r + 36 = -4*c, 3*c - 3*r - r = -34. What are the prime factors of (-1 + j)*(-20)\/c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63700 and 2950675.\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60185228?\nAnswer: 2, 15046307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1417*h + 85785 - 16352 = 0 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37639 (b) -5 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - 4*s)*(-3*s**3 + 11*s**3 - 2*s**3) - 1 + 1 + 2 - 2*s**4.\nAnswer: -14*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11876*y - 3848*y + 4181*y.\nAnswer: 12209*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*2\/4*(-12)\/(-63). Sort 0.5, f, -3 in ascending order.\nAnswer: -3, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2260*t**3 - 340. Let h(d) = 20*d**3 + 3. Suppose -290 = -s + 4*f - 260, -5*s + 3*f = -48. Give s*o(a) + 680*h(a).\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - -0.23. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -356\/3 (b) -9 (c) -1\/7 (d) 0.2 (e) -0.2 (f) -10\/9 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 <= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1216 and -95\/119072?\nAnswer: 4524736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 0. Suppose -34*b + 40*b - 36 = p. Let w(d) = -d + 3. Calculate w(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1956 - 1944. Solve y = 3*k + i, -3*y + k - 12 = -8*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2455419.96.\nAnswer: -12277099.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98756?\nAnswer: 2, 7, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2982, -3, -2, -0.1, -1.3, -1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 582398109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, w: 1, c: 2, n: 12, d: 1}. What is prob of picking 2 n and 2 r?\nAnswer: 11\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350998824 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-10 + 2)) + -4 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lblilhbbgllbllggblll. Give prob of sequence bbh.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12002100002121 (base 3) to base 7.\nAnswer: -31656025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 865441299 to the power of 1\/3, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p - 34. Calculate a(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1284827597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 24\/(3 + -7). Suppose -8793 - 2007 = y*t. Let h be 90\/(4\/t*1). Round h to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/70 - (-4)\/14. Let r = 0.5 + -0.8. Put i, r, 1 in increasing order.\nAnswer: r, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441 a factor of 142258418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 2311b2?\nAnswer: 2311b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2791, -11123, -25009, -44449, -69443, -99991, -136093?\nAnswer: -177749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 6668455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1320 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29612 - -1510141\/51. What is the common denominator of -16\/3 and q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2004 divided by -261136.\nAnswer: -501\/65284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*s + 3*j, 2*s - j + 4 = -3*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*3150\/(-126)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1030936 and -0.06.\nAnswer: 61856.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -27019, 0.4, 1419?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003087050359 rounded to 7 decimal places?\nAnswer: 0.0030871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.969 and 1230432391685.\nAnswer: 1230432391684.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100103 (base 4) to base 15.\nAnswer: -498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(304))**2 + 3)*-6 + 3)*-4.\nAnswer: 7360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 0.5 (b) -2\/13425 (c) 0.09 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 31 = -5*i, s + 2*i - 4 - 6 = 0. Suppose -3*d = -2*j - 22800009, 11400009 = -j - d + s*d. Round j to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1\/58 (c) -0.3 (d) 3\/92 (e) -2\/33 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -3)*25\/3. Suppose 9*w - 20 = q. Let l(u) = u**2 - 8*u + 6. Let t be l(8). Is t > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33957233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042502054.\nAnswer: 2, 11, 47386457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35799, -35814, -35829?\n\"Answer: -15*d - 35784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -104.46555 and 1.\nAnswer: -103.46555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 21. Calculate t(-20).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51.5? (a) 2\/7 (b) 47 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 31 - 67 + 36 - 6*c**2 + 7*c**2. Let r(f) be the second derivative of -71*f**4\/12 - f. Determine r(z(j)).\nAnswer: -71*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 5\/4 (c) 14 (d) 55 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76\/11 or 8?\nAnswer: 76\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6490, -10765, -15040, -19315, -23590, -27865?\n\"Answer: -4275*l - 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 18073431?\nAnswer: 18073435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/(k*k*k*k\/(k\/k**(2\/9))*k))\/k)\/(k*k**(-5)))\/(k**(-1\/6)\/k**(-2)))**(-37))**38 assuming k is positive.\nAnswer: k**(26011\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*t**3 + 3*t + 104 wrt t.\nAnswer: 462*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6058605 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 92858 divided by 46429\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**3 - 3*a**3 + 0*a**3)*(2 - 2 - 2*a) - 2*a**4 - 7*a**4 + 10*a**4 + 32*a to the form n*a**4 + r*a**2 + d + f*a + i*a**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6250*f - 106334. Calculate b(17).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15027 - 15023 - 15023 - 2*w**2 - w**3 - 15100 + 60173.\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and 123272.\nAnswer: 123287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4 - 3*v + 207*v**2 + 3 - 1 - 3. What is the units digit of p(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3151*s + 3168*s - 26 = 4*d, -3*s + 2 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 12?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*h - 10 - 19, 4*y + 28 = -h. Let f = 98 - 137. Let z = h - f. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 4. Let r(g) = -5*g**3 + g**2 - 1. Let y be r(-1). Suppose 3*j = -5*f - y - 5, -j - 15 = 4*f. What is the remainder when w is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 2 = -2*t + 5*a, 8 = 4*a. Suppose -c - 3*q = -7*q + 30, 4*c + 57 = -5*q. Is t less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 602, 609, 630, 671, 738, 837, 974, 1155?\n\"Answer: u**3 + u**2 - 3*u + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303455*w - 303400*w = -1705 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c + l + 50, l = 4*c - 66. Let n = c - 12. Let j(k) = 8*k**2 - n*k**2 - 3*k**2. Let o(d) = -5*d. Calculate j(o(q)).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 25 = 3*h. What is the smallest common multiple of h and 1\/(-4)*(2 - -4)*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4345226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 5*t**2 + 3*t**2)*(-2 + 2 + 3) + 56*t**2 + 292 - 292 + (-1 - 2*t + 1)*(4*t + 4*t - 7*t).\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -438\/11 + 40. Let o = 2 - 2.3. Which is the smallest value? (a) -0.5 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n*n\/(n*n**(-24))*n)\/n)*n)\/(n*n**22))\/(n**25\/((n*n**(-25))\/n)) assuming n is positive.\nAnswer: n**(-97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402482 - 111487 + 346632 + 23*b.\nAnswer: 23*b + 637627","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*8\/(-132)*(0 + 1). Which is the closest to -2\/7? (a) 2 (b) d (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*5*(6*sqrt(288)*-1 + (sqrt(288) + 6*(sqrt(288) - (sqrt(288) + 0 + sqrt(288))) - sqrt(288) - sqrt(288))**2) + 1 + -1.\nAnswer: -720*sqrt(2) + 141120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/34911864 and 37\/397856.\nAnswer: 139647456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 11:50 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 52.71 and 0.54376920132.\nAnswer: 53.25376920132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36657739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 20 = 5*y, 4*y + 5*g = -0*y + 16. Let q = y - -1. Let j = 59 - 62. Which is the third smallest value? (a) j (b) q (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -0.08 (c) 1388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**2. Let w(g) be the first derivative of -2*g**3\/3 + 1. Determine w(j(n)).\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/16 and 142\/24 - (-4 - 64\/(-12)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1279.8564 + 0.9564. Let t = s + 1000. What is t rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**3 + 6*x**2 + 3*x + 4. What is w(-4)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 8*a - 1568. Let j = a + 1569\/4. Factor 1\/4 + j*k**2 + 1\/2*k.\nAnswer: (k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -171, -166, -149, -114, -55, 34, 159?\n\"Answer: n**3 - 2*n - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 14. Let m be l(18). Solve 0 = 4*z + o - m*o - 35, -5*o = -5*z + 50 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 20. Suppose 2*c - 7*c + 40 = 0. What is the units digit of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117 + 424 + 951 = -623*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*r - 5 - 85 = 0, -43 = -2*i + 3*r. What is the highest common factor of i and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*o = -84. Let n = -6 + o. What is the least common multiple of 4 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*p - 14. Suppose -n + p = -3, 234 = 4*g + 2*n. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -529*t**2 + 148 + 1681*t**2 - 4*t - 164*t**2 + 3380*t**2 wrt t?\nAnswer: 8736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*8)\/((-41880)\/47115).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -269*z + 8886. Give q(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14057783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 854 + -852. Solve 2\/5*z**u + 0 - 4\/5*z = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 4 = -d + 3*b, 3*d = 3*b - 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 109*x - 20*x + 13*x.\nAnswer: 104*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/7 + 342*d\/7 + 680\/7 = 0. What is d?\nAnswer: -340, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11765 - 82357\/7. What is the biggest value in y, 6\/13, -2\/17?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.4926362 rounded to 1 dp?\nAnswer: -26.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56124, -112210, -168256, -224262, -280228, -336154, -392040?\nAnswer: -447886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 662*n**4 + 629*n - 1.\nAnswer: 7944*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1. Let q = -17 + 19. Let d(t) = 2*t**2 - 7. Let k(j) = q*d(j) - 14*h(j). Let b(x) = -8*x**2. Calculate k(b(z)).\nAnswer: 256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5154*o = 5158*o - 17340. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 - -2) - (-3 + 15 + -21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/990 + (19 - 11 - (-3 + 168\/15))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**19*y)\/((y**(-11\/4)\/y)\/y*y*y))\/(y*y**(-13)*y**(1\/2)) assuming y is positive.\nAnswer: y**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1548*f**2*p**2*u**3 + f**2*p**2*u**2 + 16*f*p**2*u**2 - 4*f*p + 2*f*u**3 - u**3 wrt f?\nAnswer: 3096*p**2*u**3 + 2*p**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 521280809 divided by -18263?\nAnswer: -28543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tygqgtjtttttttqgyqg. Give prob of sequence ttgq.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 11:53 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/10 + 5*u**4\/6 + 5*u**3\/3 + 11*u**2\/2 - 2*u. Suppose -3*b - 21 = 4*z, 5 = -z + 2*b - 3. Is k(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -700 + 702. Solve -3*d + r = -10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l - 2. Give z(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 78040*y + 78045.\nAnswer: -5*(y - 15609)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3740284 hours to minutes.\nAnswer: 22.441704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 5*j + 10*j)*(2*j**2 - 2 + 2) + 2*j**3 + 6*j**3 + 0*j**3.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 110*c**2 - 484*c + 4311. Calculate i(-105).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 254*h**2 - 5248*h. What is v(18)?\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 555, 595, 647, 717, 811, 935, 1095, 1297?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/12 - 7*s**3\/3 - 6*s**2 - 6*s - 16. Determine x(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -90. Suppose -2*r = 8 - 14, -5*r = q*x - 170. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i + 32*i - 3524572 + 3524572 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 16*u - 5. Let d(r) = -r**2 - 8*r - 2. What is -4*c(a) + 10*d(a)?\nAnswer: -2*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 896\/(-12) + 4\/6. Suppose 2*v - 5*t - 30 = -3*v, 0 = 2*t. Calculate the least common multiple of m\/(-10) - (-6)\/10 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -903.90937 + 2.11937. Let k = -897 - t. Round k to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.9. Let z = -6.9 + 37.9. Let y = 30.6 - z. Put -3, y, i in decreasing order.\nAnswer: i, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6*(-3)\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.084 + -264.1.\nAnswer: -264.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((2*sqrt(225))\/(-5*sqrt(25)\/sqrt(5))*-6 + 4)*4)**2.\nAnswer: 4608*sqrt(5)\/5 + 22021\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -2.4321268?\nAnswer: -11.4321268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 20*t. Let w be (4\/10)\/(27\/20790). Let a = -307 + w. What is h(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4 = 4*z, -2*d - 17*z + 14 = -16*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 28*s - 1, 2*k - 2 = 372*s - 370*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {w: 2, c: 3, o: 7, p: 3, q: 5}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -385*v + 22 - 384*v + v**2 + 1149*v - 384*v in the form a*v**2 + s + l*v and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -127*j**5\/30 + 9*j**4\/8 + 2*j**2 + 122*j. Find the second derivative of o(m) wrt m.\nAnswer: -508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6445249061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 149448882 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)**(-4)\/((w**(2\/5)\/w)\/w**(-5\/6))*((w**(4\/3)\/w)\/(w\/(w**(1\/2)\/w)*w*w*w))**(-14\/13) assuming w is positive.\nAnswer: w**(553\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w + 1. Let p be s(2). Let d be p + -5 - 6\/(-2). Let b be (-141)\/(-27) + 2\/(-9). Solve -y + 6 = -r, -2*r = 4*y + d + b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - a + 5*a - 8, 87 - 75 = 4*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 4\/(-2) - (1321 + -1402)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(((-325)\/(-30))\/(-65))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4494 and 4248328.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/30 + 2\/6. Suppose -3*o + f + 6 = 0. Let b(a) = 0 + 1 - 1 - 1 + 3*a**2. Give b(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*d**2 + 2 - 2 + 2*d**2 - 3*d**2 + 0*d**2 + d**2 + 2*d**2 - 4*d**2 + 0 + 0 - d**2 + (d - d - d)*(-2*d - d + 5*d) + 3*d**2 - 4*d**2 + 3*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1071382?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(0*t**2 + 0*t**2 - 2*t**2) - 61*t + 3 + 7*t**2 + t**2 + 60*t as z*t + h + m*t**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 2889*k + 25785. What is h(-9)?\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((300\/9040)\/((-12)\/8))\/(95\/(-304)*-8)?\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.005 - 4.995. Sort 4, m, 0.6 in ascending order.\nAnswer: m, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (9 + 10) - -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -16. Find the common denominator of -62\/9 and ((-15)\/(-20) + x)\/((-14)\/12).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 1:51 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**5 + 83212*h**4 = 0.\nAnswer: -20803, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -9014 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 919, 897, 831, 697, 471, 129?\n\"Answer: -4*t**3 + 2*t**2 + 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 31 = 5*z, 59 = -2*a + 5*a - 5*z. Let i be (-4)\/(-14)*a\/12. Which is greater: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 9. Let a be s(4). Suppose 3*o = -4*d + 1854, 424 = 3*d + 4*o - 970. Suppose 2*l + d = a*l. Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 4368*b - 127513.\nAnswer: (b - 4397)*(b + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 19. What is the tens digit of 20\/s*9*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -111, -242, -425, -660, -947?\nAnswer: -1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -52, -110, -170?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**2 + g**2 - 2*g**2 + (2*g + 0 + 0)*(2*g + 4*g - 4*g) - g**2 - 4*g**2 + 4*g**2)*(0*g - g + 0*g) to d + a*g + k*g**3 + l*g**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4807.996793 + -4808. What is s rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 196\/3. Let k be (-11 - (-3 + -4))*(-4)\/(-5 + -147). Which is the nearest to u? (a) k (b) 2\/19 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -877.5 - -877.0763. Let h = s - -0.407. Round h to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let g(d) = d - 6. Let a be g(7). Suppose -5*f - a = -26, -3*f + 12 = 3*q. Give u(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wttb when four letters picked without replacement from twwwpowwbwabwbtpwwto?\nAnswer: 9\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4673915?\nAnswer: 5, 47, 19889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 6 - -6 - (-3)\/(-51)*-49\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 6000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5739*w - 5939*w + 2*w**3 - 4*w**3 - 4524 + 6*w**3 wrt w.\nAnswer: 12*w**2 - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.39297452 to 3 dps.\nAnswer: 3.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = j - 3*j. Suppose 3*l + 5 + j = 3*o, l + 21 = 3*o. What is the smallest common multiple of o and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 30. Let l be z(15). Let g = 938\/3 - 312. What is the closest to g in l, 0.029, -1?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*b - 41*b - 30. Suppose 0 = -l + 4 - 7, 0 = 3*a + 2*l + b. Let h = -107\/396 + 8\/33. Is a bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2020 - 936535*k**2 - 2020.\nAnswer: -936535*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16363 is divided by 1202.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.92 + -0.08. Let l = 0.3 + -0.3. Let b = 3.1 + -3. What is the nearest to r in b, 1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.19, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-72) - 4\/32.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - 1077?\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 1\/15*q**5 + 1\/6*q**4 + 0*q - 3\/2*q**3 + 3*q**2 + 0. Let r(v) = -v**2 - v + 2. Calculate -2*l(m) - 9*r(m).\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 6. Let c be (-85)\/(-15) - 1\/g. Does 14 divide c*2\/8*22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 26\/9, 0.5, -2\/939, -0.08, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/243)\/(((-5)\/1)\/(-135))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (21\/(-54))\/(6\/9) and (-120)\/9 + (-1)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*c**3 + 64*c**3 + 26*c**2 + 28*c**2.\nAnswer: c**3 + 54*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2184 and 2058.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4795 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + b?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1145 - 4?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 53668?\nAnswer: 53668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 70 = 82 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - g. Let d(x) = -2*x**3 - 4*x**2 + x + 4. Let p(r) = d(r) + 2*o(r). Find the second derivative of p(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 169, 1\/3, 0.05?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. Suppose 4*m - 427 = -1243. Let g be ((-102)\/40)\/(-3) - (-51)\/m. Sort i, g, -1 in descending order.\nAnswer: g, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, p: 3, y: 3, w: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**6 + 1828793*d**3 + 2*d**2 + 5*d + 14698?\nAnswer: 360*d**3 + 10972758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.06 + 7. Let u = -0.263251 + 0.2032529. Let y = u - v. Round y to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0863? (a) 0.8 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*t**2 - 24*t + 24*t + (1 - 4 + 2)*(t**2 + 0*t**2 - 3*t**2) to a*t + l*t**2 + q and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*b**2*w - 136*b**2 - b*w + 113126*w wrt b.\nAnswer: -46*b*w - 272*b - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -82*o - 1216 - 42 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/4 + c**3 + c**2 - c + 2. Let z be n(3). What are the prime factors of (-16)\/(-3)*(11 - z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/164 and -1\/123.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 9:03 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2101\/(-44)*208\/(-4).\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (29 - (-2 + 11)) + -8. Solve 2*w + b = 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3503*d**2*t**2 - 45*d**2*t + 12*t wrt t?\nAnswer: -7006*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 10 = -c. Suppose 4*s = -5*r + 43 + 30, r + 4*s - c = 0. Solve w = 3*w + 3*l - r, 0 = -w + 4*l - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -122*t + 11. Is r(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6441463, -6441477, -6441497, -6441523?\nAnswer: -6441555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 14 = -11915*k + 11918*k, 5*u - 25*k = 35 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -158*s**3 + 217 with respect to s.\nAnswer: -474*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 27260?\nAnswer: 490680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-165) - (-3)\/(-11)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 18*p - 75. Give u(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, r: 1, c: 3, k: 2, m: 1}. What is prob of picking 1 p and 1 c?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(0*s + 2*s + 0*s) + (5 - 3 + 0)*(2*s + 3*s - 2*s))*(4*s**3 - 3*s**3 + 5*s**3).\nAnswer: 60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.27 times -0.129\nAnswer: -0.16383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2065 and 121\/74060?\nAnswer: 4369540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1854*x**2 - 4516 - 4576 + 9092.\nAnswer: -1854*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -110100 (base 2) to base 15\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*a - 24 = 0, -5*x + 3*a - 339 = -321. Put 0.2, -4, x, -20.9 in descending order.\nAnswer: 0.2, x, -4, -20.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10932.44208 minus 0.17?\nAnswer: -10932.61208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -23. Let i = 17.6 + s. Let y = 2.9 - i. Put -5, y, -4 in decreasing order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:53 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46847 and 57275?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*n**2 + 2*n - 5 + 0*n + 3*n**2 + 1 - 1 + (-n - 2*n + n)*(2*n + 2 - 2).\nAnswer: -4*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 697710670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**7\/3780 + n**6\/360 - n**5\/90 + n**4\/12 + 8*n. Let t(z) be the third derivative of x(z). Factor t(i).\nAnswer: -2*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -338*l**3\/3 + 274742*l**2\/3 + 42274*l\/3 + 542 = 0. What is l?\nAnswer: -1\/13, 813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffl when four letters picked without replacement from {l: 1, c: 1, f: 5, j: 9}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240 - -498. Let a = q + -261. Let c be (10\/8)\/(1\/4). What is the third smallest value in c, -3\/4, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3375 divided by 1125.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 13\/43, 18482, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8739 + 8738.9. Which is the closest to -1\/21? (a) h (b) 0.09 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6839257, 13678514, 20517771, 27357028, 34196285?\nAnswer: 41035542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1332)\/(-270) + (-88)\/(-132).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-10)\/(-28))\/(-5))\/(3\/(-144)). Solve -4\/7*w + 10\/7*w**4 - u*w**3 + 18\/7*w**2 + 0 = 0 for w.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-9))\/((-5)\/3))\/((-19881)\/2115).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2478 * -36394.\nAnswer: -90184332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 55270 divided by -11054\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947678756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -352734 times 0.014?\nAnswer: -4938.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 1, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 10 - 96 = -22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -65?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:46 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 951176941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3750.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*s + 24*s - 270*s.\nAnswer: -309*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a4 + 1?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24049*q**3 + 3*q**2 + 37598*q**3 + 4*q - q**2.\nAnswer: 13549*q**3 + 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 191042996 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8959 is divided by 559.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7484, -7858, -8236, -8618?\n\"Answer: -2*c**2 - 368*c - 7114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*a - 3194, -a - 54*n + 52*n + 1600 = 0. What is the smallest common multiple of a and 2?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 146, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, -363, 4 in descending order.\nAnswer: 8, 4, 1, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10929, -11000, -11061, -11106, -11129?\nAnswer: -11124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 85*m**2 + 32*m**2 - 2*m - 23*m**2 to u + z*m + d*m**2 and give d.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.192776 kilometers to meters.\nAnswer: 9192.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27 (b) 12 (c) 14 (d) 5 (e) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -17*t**2 + t + 3. Determine y(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/80 and -167\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56632\/935517 - 2\/28349. Let q = 2\/95339 + 11345197\/6864408. What is the common denominator of w and q?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from bbbbnrbkbbybbbbbn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19\/((-399)\/14) - 50\/6. Let q be ((-3)\/5)\/((36\/40)\/g). Solve q = 2*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77\/5 + -16. Sort p, 0.5, -4.\nAnswer: -4, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -253*x. Let r(z) be the third derivative of -z**5\/20 - 416*z**2 + 2. Give r(b(k)).\nAnswer: -192027*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88731.02ml to litres.\nAnswer: 88.73102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -59 + 87*k - 41 - 40 - 56 + 288. Let t be y(2). What is the highest common factor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3375 and 486?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22047738?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26463836 and 1006.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 1, v: 1, t: 2}. What is prob of sequence fh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t + 1. Let v(g) = 5*g + 2. Let b(f) = 2*m(f) - v(f). Let s(i) = 92*i**2. Give s(b(c)).\nAnswer: 92*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 2. Let h = -1.71 + -0.39. Let t = h - w. Which is the closest to -0.1? (a) t (b) -2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sruooesouehse. What is prob of sequence oeuh?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + (-3 - (-2 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1970904096 and -0.2499.\nAnswer: -1970904096.2499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t - 26. Let d(b) = -3*b + 9. Let k(p) = 7*p - 19. Let m = 79284 - 79278. What is m*k(v) + t*d(v)?\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 19 - 2*i to the form g + p*i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-8 - 1 - -10) + 23 + 14?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/120 - z**5\/30 - z**4\/24 - z**3\/2 - z**2. Suppose 5 + 4 = 3*l. Is 3 a factor of b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a + 4. Let b = 216 - 215. Let s be i(b). Solve s*j - 10*j = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 3*q - 4, -t = -5*q + 16. Let p be 59 + -14 - -3*1\/(-3). What is the highest common factor of t and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/20))**(-40) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -1\/4*a**4 + 0*a + 0 + 1\/6*a**3 - 1\/60*a**5 + 4*a**2. Calculate l(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4\/5 + 36192*h**3\/5 - 470883*h**2\/5 + 289848*h = 0. What is h?\nAnswer: -12077, 0, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6699 and 1218.\nAnswer: 13398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2. Let f(v) be the second derivative of -v**3\/6 + 3*v**2\/2 + 112*v - 2. Let q be 1\/4 - (-9)\/(-4). Calculate q*f(a) - 3*x(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 - 112. Let o be (-4 - (2 + -10))*c\/6. Solve 5*l + 26 = 4*u, -o*u = 4*l - 5*u + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8092*a**4 - 2302956*a**3 - 7232248*a**2 - 7531344*a - 2610144 = 0. What is a?\nAnswer: -18\/17, -1, 2014\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*t - 44, -6*v = -4*v + 3*t - 19. Suppose 4*n - 25 = -r, -5*r - v*n + 4*n + 45 = 0. Solve -r*i + 3*i = -10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3811253*o**2 - 39060182 wrt o.\nAnswer: 7622506*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 74*l - 548 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 2114. Let j be r(105). Calculate the greatest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 6*d**5\/85 + 2*d**4\/17 - 4*d**3\/51 - 4*d**2\/17 - 2*d\/17 + 9. What is a in v(a) = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2 - (-4 - -7) - -48. Let x = y + -40. Suppose -7*z + 2*m + 699994 = -2*z, x*z = -m + 700003. Round z to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.6 and 0.727924671.\nAnswer: -4.872075329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = f - 44, 5*f - 289 = -7*s + 10*s. Suppose -4*r - 3*l + 277 = 0, r - 6*l - 69 = -7*l. Calculate the highest common factor of r and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -635 (c) 48\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 305067 or 305057?\nAnswer: 305057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25260 (base 7) in base 10?\nAnswer: -6657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p = -6*p - 1954436. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 142542*u**2 + 5048626401*u + 2207688985008.\nAnswer: (u - 71487)**2*(u + 432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 575 = -4*i, 3*i + 573 = 3*n. Let y = 74 - 74. Let b be 28 + y + -4 + 3. What is the highest common factor of n and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytyl when four letters picked without replacement from {j: 1, l: 1, y: 2, t: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*n**3 - 2211*n**3 - 852*n**3 + 675*n**3.\nAnswer: -3168*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(1768\/521560)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**4 - j**3 - j**2 + j + 1. Let x(a) = 7*a**4 - 23*a**3 - 33*a**2 + a + 1. Let d(m) = q(m) - x(m). What is the third derivative of d(y) wrt y?\nAnswer: -120*y + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/30 + 73552589\/6597525 + -12. Let z = l + -1\/36350. Find the common denominator of -79\/88 and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 2*w + 3*w. Let z(v) = 12*v**2. What is z(j(x))?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155286, -155293, -155312, -155349, -155410, -155501, -155628?\nAnswer: -155797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*b - 133.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184903.\nAnswer: 184903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6877, -25662, -56359, -98968, -153489, -219922, -298267?\n\"Answer: -5956*m**2 - 917*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 + 5*x**2 + 2*x**2)*(-6*x + 49 - 53 - 9*x)*(-x**2 + 2 - 2).\nAnswer: 30*x**5 + 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.26 plus -15635645?\nAnswer: -15635624.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 266\/5. Let b = -64.966 + 65. Let r = b + -11.034. What is the nearest to -1\/2 in -4, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5146855 to the power of 1\/2, to the nearest integer?\nAnswer: 2269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1943 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 3*j + 4*j + (0 - 6 - 7)*(4*j + 0*j - 3*j))*(29 + 14*j**3 - 26 + 23*j**3) to g*j**2 + i*j**3 + x*j**4 + y*j + z and give x.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 3182868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 4, b: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 480760 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 6:17 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 43*f - 14*f - 3.\nAnswer: 29*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 830 + -788. Sort 2\/5, v, 4 in decreasing order.\nAnswer: v, 4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -4, -1, -19\/177, 2\/9, -2\/7?\nAnswer: -19\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-25.103\nAnswer: -2.5103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 151*b**2 - 583*b - 83. What is g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2996 - -2997. Which is the third smallest value? (a) 1\/3 (b) -2.48 (c) o (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 40?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-4)*(-4)\/(-32))\/((-17)\/(1088\/(-8)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2059)\/(-348) + -6)\/((-88)\/96)*(1 + 1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = 0, 1524*v + 372 = 2*o + 1520*v. Calculate the remainder when o is divided by ((-90)\/8)\/((-1)\/4).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m - 34 = -3*p, 13 = p + 2*m. Suppose 0 = p*c + 4*c - 21. List the prime factors of (20\/(-15) - (-1)\/c) + 106.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.6 rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -21*s**3 + 9*s**2 - s - 7. Let a be h(9). Let q = a + 175271\/12. Find the common denominator of q and 2\/4 + (-306)\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqk when three letters picked without replacement from {o: 1, i: 1, r: 1, k: 1, q: 1, t: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -12, -29, -52, -81, -116, -157?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1. Let o(m) be the second derivative of m**3\/6 - 5*m**2\/2 + 143*m. What is 4*d(l) + o(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175740 divided by 5.\nAnswer: -35148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 4*t**2 + 6*t - 6. Let g(q) = -4*q + 12. Let z(d) = -9*d + 23. Let k(y) = -7*g(y) + 3*z(y). Let x be k(10). Determine o(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175014311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 21\/127 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from hcjbjpcs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 - 302. Suppose -p*t = -360 - 546. Calculate the remainder when t is divided by 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1645 minus 0.46?\nAnswer: 10.7045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -20693?\nAnswer: -20689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10\/d**0)**3 assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*f - 104*f + 34*f.\nAnswer: -444*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127449747.\nAnswer: 3, 4720361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 2) + -7 + (0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 - -170. Solve -5*g = -w*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 41. Let o be d(-29). Solve -o*p + 15*p = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3.2. Let a = -22 - -22.9. Let q = 0.5 - a. Put p, q, 4 in ascending order.\nAnswer: q, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -175015620 to the nearest 100000.\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(177\/(-59))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 7. Let p be f(-5). Suppose -p*g - 27 = -71. Suppose 3*t = 19 + 17. Calculate the remainder when g is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 48 = 18*c. Let d = 26 + c. Suppose -d*h + 270 = 4*o, 0 = -2*h - 3*o + 7*o + 246. List the prime factors of h.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 3*n = 715. Let j be (-12)\/10*n\/39. Suppose -j*t + 121 = 5*k, 0*k = 2*t - 5*k - 131. What is the highest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (11 - 7) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 281*i**3*y + 190*i**3 wrt y.\nAnswer: 281*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3 (c) -0.2 (d) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8282497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54080206?\nAnswer: 2, 131, 206413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -42. Suppose -k + d = -0*k. Calculate the highest common divisor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 + 52251921*z**4 - 90349*z - 80 wrt z?\nAnswer: 20*z**3 + 627023052*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/252355?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 24 = 3*o + 3*c, -4*c = -3*o + 71966 - 71962 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*d + 191 + 33 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-2 - (0 - -6)) - 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n - 45. Let i = -6 - n. Suppose -4*s = -4*u - 48 + 4, 35 = 5*s + 5*u. Calculate the least common multiple of s and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 19*j**2 + j - 12. Let g be z(19). Suppose 6*b = -7 + 31. Let r be g\/(-14) + 2\/b. Solve -2*u + 5*x + 12 - 3 = r, -18 = 5*u + x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/h**(-1\/3))\/(h**(-2\/3))**40)\/(((h\/(h*h\/((h*h**(2\/13)*h)\/h)*h))\/h)\/h**(-2\/13))**(-2\/25) assuming h is positive.\nAnswer: h**(10031\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 + 5)\/(-4*1) + (-5760589)\/(-116).\nAnswer: 53, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 - 4*z**2 + 4*z**2 + 2*z**2.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = j + 1, 4*a = 5*a - 3*j - 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 187 - 6?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 639 (b) 0.3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 0*l**4 - 3*l**4 + 6*l**4 - 2*l**4 - 3*l**4 + (0*l**2 + 5*l**2 - 3*l**2)*(-3803 + 89*l**2 + 3803) + 0*l + 0*l - 2*l**4.\nAnswer: 176*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40945, -40946, -40947, -40948?\nAnswer: -40949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3917, -8722, -13527, -18332, -23137, -27942?\nAnswer: -32747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-6))\/((-40)\/18). Let j = -0.52 + 0.77. Let p = j - -0.25. Put p, x, -3 in decreasing order.\nAnswer: x, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 32*q**2 + 668*q + 25. Determine j(12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439966 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172751574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(78))\/(2*sqrt(216) + sqrt(216)).\nAnswer: -sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:44 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2249037 or -2248985?\nAnswer: -2248985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(144)\/(sqrt(12) - -1*sqrt(1452) - sqrt(12)))*5.\nAnswer: -25 + 10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27572*f**3 + 147*f**2 - 55747553 wrt f.\nAnswer: 82716*f**2 + 294*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c81 + -6?\nAnswer: 8c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25870, -26148, -26612, -27262?\n\"Answer: -93*b**2 + b - 25778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d**3 + 12*d**2 - 6*d + 17. Let w(u) = 5*u**3 + u**2 - u + 1. Determine h(y) - 6*w(y).\nAnswer: -6*y**3 + 6*y**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2898676, -2898665, -2898632, -2898565, -2898452, -2898281, -2898040, -2897717?\n\"Answer: 2*d**3 - d**2 - 2898677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1) + 264\/126 + -2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-10) - (6\/(-2) + 224\/80). What is the smallest value in 0.03, -1\/11, 4, 1, v?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1800, 3663, 5528, 7395, 9264, 11135, 13008?\n\"Answer: i**2 + 1860*i - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -119120.076 rounded to the nearest ten?\nAnswer: -119120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 + h**4 + h**4 - 28*h**4 - 239*h**4 - 115*h**4 + (-h**3 - 4 + 4)*(2 - 2 + h) + 2*h**4 - 4*h**4 - h**4.\nAnswer: -388*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*-1*1\/3. Suppose -t = -3*s + 1, -5*t + 75 = -0*t + s. Suppose t = -0*a + f*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(143) + 2*sqrt(143)*6 + sqrt(143))\/((sqrt(132) + 1*sqrt(132) + sqrt(132))\/sqrt(12)) + -2*(5 + -5 + sqrt(208)) + 2.\nAnswer: -10*sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 + 10 = 0, -3*r + 5*c = -30. Suppose 2*v + 7*t - 12*t - 436 = 0, -r*v - t + 1144 = 0. What is the highest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -124752, -248724, -372696, -496668?\n\"Answer: -123972*i - 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -39, -303\/211 in increasing order.\nAnswer: -39, -4, -303\/211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 + 2*t**2 + 3*t - 5. Calculate j(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74981084 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/40 + 13*u**5\/60 - u**4\/6 + u**3 + 2062*u**2. Let t(s) = 2*s**3 - 12*s**2 + 3*s - 5. What is -4*f(c) - 5*t(c)?\nAnswer: 2*c**3 + 8*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -0.39696.\nAnswer: 1.60304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(864) + sqrt(6)))\/(sqrt(24)\/((sqrt(112)\/sqrt(2))\/sqrt(7))).\nAnswer: 78*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = 0. Let v(m) = -1 + 2*m**2 - 2*m + r*m + 0. What are the prime factors of v(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -8*g**5\/5 + g**4\/12 + 55*g**2\/2 - g + 8. Find the first derivative of t(h) wrt h.\nAnswer: -96*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117711 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 27. Let y be t(14). Suppose -3*u + 8*u = y. What is the first derivative of 2*g**3 + u + 10*g**3 - 2*g**3 + 4*g**3 wrt g?\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 11*o + 5. Determine d(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -15. Suppose m*w - 16*w = 10. Let r(q) = 3*q**2 + 2*q + 2. Let t be r(3). What is the highest common factor of w and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 3. Let y be (-2)\/(-9) - 8\/(-45). Let p = -26.1 + 26. What is the nearest to -1 in x, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*c*k**3*o**2 + 7*c*k**2*o**2 - k**3*o**2 - 15*k**3 with respect to c.\nAnswer: 29*k**3*o**2 + 7*k**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39622096 * 4.\nAnswer: 158488384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.2, 2, -2\/11, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 65 - 31 + 3*g - 10 - 24. Let y(j) = 23*j - 22*j + 63*j. Determine o(y(c)).\nAnswer: 192*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -160837917 to the nearest 100000.\nAnswer: -160800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d - 20 = 0. Suppose 5*k + 4*a - 40 = 0, 9*a = -k + d*a - 13. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 2*m - 5. Let z(v) = 4*v**2 + v - 6. Let f(d) = 3*w(d) - 2*z(d). Let p be f(1). Solve 5*q - p*y = -28, -4 = -4*q - 5*y - 0*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(180) - (sqrt(180)*-2 + 5)) + sqrt(180)*-4*6)*1.\nAnswer: -126*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwiil. What is prob of sequence iwil?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5772 and 40.\nAnswer: 57720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by 266.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*o + 0*o = 0. Suppose o = -15*b + 10 + 680. Let k be -5*(-5 + b\/10). Solve -3*v - 9 = -2*v + 3*g, 2*v + k = 2*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240000 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*o - 2*o**2 + 4*o - 10367*o**3 - 2*o**4 + 5189*o**3 + 5215*o**3 to r + q*o**4 + a*o**2 + y*o**3 + v*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 t when four letters picked without replacement from kttkttkktkttkktttkkk.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2038361 and 4?\nAnswer: 8153444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16686527*l**6 - 2*l**2 + 17034*l - 1109.\nAnswer: -2002383240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6\/5*u**3 + 0*u + 3\/5*u**4 + 3\/5*u**2.\nAnswer: 3*u**2*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1916272, 3832272, 5748272, 7664272, 9580272, 11496272?\nAnswer: 13412272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 3\/5*j**5 - j**3 - 3\/2*j**2 + 3\/4*j**4 + 4 + 0*j. Factor t(r).\nAnswer: 3*r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j**3 - j**2 - 2*j - 1. Let c = 21 + -20. Let u(p) = -p**3. Let n(g) = c*s(g) + 4*u(g). Suppose w - 1 = -i, 3*w = 43*i - 44*i - 1. What is n(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vflmlllilmmmvi. Give prob of picking 2 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67569889*z - 303639415 with respect to z.\nAnswer: -67569889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/65144 and 45\/16?\nAnswer: 130288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence depp when four letters picked without replacement from tfpepptpfpzfdfpetzff.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12948 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4)*6 + -6*-1*sqrt(7) - ((sqrt(7) + 3)*-2 + sqrt(7) - 2*sqrt(343)))**2.\nAnswer: 324*sqrt(7) + 5139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/12 and 43\/41100?\nAnswer: 41100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 543802612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 + 0.15998. What is x rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 3 = 19*b - 4*y, 3*b - 3*y = 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130010 + -3?\nAnswer: -130013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 2\/279537, -9, 0.1 in increasing order.\nAnswer: -9, 2\/279537, 0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 2:53 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-2*sqrt(336)*-6)\/(1*sqrt(112)) + -4))**2.\nAnswer: -384*sqrt(3) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17820 and 152280.\nAnswer: 1675080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 53 = -o + 2*p, -5*o - 4*p = 246. Let q = 57 + o. Suppose 6*f = q*f - 33. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*i**2 + 2*c*i - 114*i**2 - 1 wrt c?\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)\/x)\/(x\/(x*x**(3\/13))) assuming x is positive.\nAnswer: x**(-24\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r - 3*r)*(3*r + 2 - 2 + r - 3*r + 4*r + (r - r + r)*(-2 - 1 + 5) + r + 2*r - 2*r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000104779 to seven decimal places.\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 213.84344*0.3\nAnswer: 64.153032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 10*i - 9 = 15*i, -x + 2*i + 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.2 to 0 dps.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2469 + -10358. Let u = r + 157741\/20. Let p = 57\/4 - 13. Find the common denominator of p and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 332509\nAnswer: -1662545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 10 = 2*j, 44*j + 2*q - 46 = -146 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 0*z**3 + 0*z**3)*(4*z - 4*z - 2*z) - 9*z**2 + 8*z**2 + 24*z**3 + 8*z**4 - 6*z**4.\nAnswer: -4*z**4 + 24*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390021 is divided by 669?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -23*d**4 + 5*d**3 + 5*d - 10. Let p(m) = -m**3 - m. Let o(s) = g(s) + 5*p(s). What is the first derivative of o(w) wrt w?\nAnswer: -92*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36478955.\nAnswer: 5, 19, 29, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323750*z + 580196*z + 149409*z.\nAnswer: 1053355*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 3*a**2 + 12*a + 10. Let n be w(-5). Let x be (n + 6)*(-14)\/(-7). Solve 0 = 5*p + 4*g - x, -2*p = -7*p - 5*g + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 2, 165, 3.2, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 596, 699, 358, -427?\n\"Answer: -222*n**2 + 769*n + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 54\/24 - (-30)\/72?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 3978.\nAnswer: 35802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2243\/6, -3, 16\/129 in decreasing order.\nAnswer: 16\/129, -3, -2243\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 30*p + 1 = 4, -p + 9 = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 5*h + 9. Is t(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31957471800 rounded to the nearest 1000000?\nAnswer: 31957000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2980 and 255820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**5\/5 - 31*q**4\/5 + 41*q**3\/5 + 18*q**2\/5 - 52*q\/5 + 8\/5 = 0. What is q?\nAnswer: -1, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**5\/60 + p**4\/12 - p**3\/18 - p**2\/2 - 6*p + 12. Let b(s) be the first derivative of f(s). Find g such that b(g) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159.61 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 - 4 + 3*j + 7*j**2 - 4*j**3 - 2*j. Let g be q(7). Solve 0 = g*c + c - 20, -28 = 3*i - 5*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22647.093 + 22638. Round y to 1 dp.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 607 - 3*v - 609 + 0*v)*(0 + 0 - 3*v).\nAnswer: -3*v**3 + 9*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 2 (c) 0.2 (d) -3.63 (e) 1 (f) -15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/3*3)\/2*-20. Suppose b*p - 5*p = 4265. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -1, 1\/4, -64?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j**3 - 746*j**3 + 92*j**2 - 42*j**2 - 44*j**2.\nAnswer: -705*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + (sqrt(2) + sqrt(2) + (sqrt(2) + 0 - sqrt(2)))**2*4 + (sqrt(18)\/(sqrt(45)\/sqrt(5)))**2)*-3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3927946 hours to days.\nAnswer: 0.099699775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 0, -7380*u = -7383*u + b - 63 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(298\/(-8) + -4). Let u = l + 85. Let s = u + 196. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8562922 is divided by 137.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 1056196 + 943804. What is o rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r**3 + 10*r**2 - 3*r - 5*r - 4 - r**3 - 2. Let y be p(9). What is the second smallest value in 7, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 12)\/(108\/(-72)*-7)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:08 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 50, 506, -3, -0.91?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 20 = 0, -6*r + 68*j = 63*j - 72919. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980*f - 199 = -1013*f + 4*a, 3*f = 4*a + 109 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 6:13 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40751937.\nAnswer: 3, 1509331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, i: 2}. Give prob of sequence iitt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 6 = -5*v, -12 = 2*v - 3*v + 3*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 67.911. Let a = 8.349 + m. What is a rounded to one dp?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:46 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12000 divided by -2000?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(18\/5)\/(w\/(w*w*w*w**(-3\/14))) assuming w is positive.\nAnswer: w**(377\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = c - 6*c. Sort -5, c, 1 in decreasing order.\nAnswer: c, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 1096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 162?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107.28449456 + 22.\nAnswer: -85.28449456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3112107 divided by 3\nAnswer: 1037369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/((-287)\/(-1476)) + 1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*h - s, 59 = -3*h - 4*s + 37. Which is the closest to 0.34? (a) h (b) 0.5 (c) -1 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*t)**(14\/9) assuming t is positive.\nAnswer: t**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 667 * 0.1\nAnswer: 66.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 151725 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.254 - -1.116. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -2*t**6\/15 - t**4\/6 - 4*t + 2. Let v(y) be the first derivative of f(y). Find the third derivative of v(i) wrt i.\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13562302 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: Let k be 2*9\/3*1. Suppose -k = 3*u - 0*c - 3*c, 3*u - c + 10 = 0. Let h be 1 + 1 + -1 - -4. Put -3, u, h in decreasing order.\nAnswer: h, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 5*q. Suppose -12 = -2*l - 2. Solve -l*n = -4*g + 15, q*n + 5 = -10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*-3*sqrt(468))**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let k(p) = -3*p**2 - 6*p. Let y(x) = -9*x**2 - 17*x. Suppose 0*w - 85 = -5*w. Let u(g) = w*k(g) - 6*y(g). What is l(u(h))?\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -1\/4, 0.04, 0.3, -0.079?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-6) + -3*3\/18. Let d(k) = k**2 - 2*k - 6*k + 3*k. What is d(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*16*(-280)\/10864*97.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -42904*w - 257427. Calculate b(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 349347755 to the power of 1\/2, to the nearest integer?\nAnswer: 18691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*(-6)\/9 + -1. Let x(u) = -6*u + b*u - 5*u. Let m(j) = j**2. Calculate x(m(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2 = -5, m - 5*r = -16 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 7*b - 154. Calculate t(-9).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/14)\/(((-160)\/35)\/(-8))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 41, 920, 8, -7, 1\/2?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*y + 176. What is the greatest common divisor of y and 2360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*n + 15. Suppose -n*l - 9 = -9. Suppose 13*m - 7*m - 378 = l. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5000008*w**2. Let y be g(1). Suppose 2*h + 0*h - y = o, -4*o - 3*h - 19999988 = 0. Round o to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + 0 + sqrt(2000) + -5 + (sqrt(2420))**2.\nAnswer: 20*sqrt(5) + 2418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (199*z**3 + 52*z**3 + 2065*z**3)*((-1 - 6 + 3)*(2 - 2 + z) - 4*z - 2*z + 5*z)*(-2 + 0 - 1) to the form l*z**3 + a + v*z + w*z**2 + q*z**4 and give q.\nAnswer: 34740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**3 + 7*d**2 + 5*d - 12. Let f(a) = 13 - 7*a**2 - 4*a**3 + 55*a - 2*a**3 - 60*a. Let i(z) = -4*f(z) - 5*l(z). Determine i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 17. What is the nearest to n in 2, 3\/4, 1\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-225))\/(2\/(-9))*-28 + (-12496)\/(-891).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5135, 10331, 15525, 20717?\nAnswer: 25907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71\/1991 + 10\/181. Let d(n) be the first derivative of -7 + 2\/11*n**2 + 2\/55*n**5 - 2\/33*n**3 + 0*n - i*n**4. Find g, given that d(g) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/110 and -87\/2926.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 140?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0015 - -140.5015. Let v = k + -9.5. Let y = v - 130.9931. What is y rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 281 by -145.\nAnswer: -281\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.003 + -5.797. Let q = 0.8 + p. Let s = 0.7 - 0.2. Which is the second smallest value? (a) s (b) q (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -16*h**3 + 5*h**2 - 5*h + 5. Let q(f) = 80*f**3 - 24*f**2 + 24*f - 24. Give 24*g(p) + 5*q(p).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + r = 1, 0*t - t + 3*r = -17. Let z be 1 + 1 + 4 + -2. Suppose 0 = -2*b - 2*s + 20, -z*b + 2*s + 4 = -t*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036943138 rounded to 5 dps?\nAnswer: -0.00369","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 3:59 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11480?\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t - 60 = -5*i - 68*t, 17*i = -5*t + 156 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -13 - ((12 - 16) + 4 + -3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.26 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066307 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/337229 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t + 1. Let y be g(-2). Suppose 4*s + 3*h = -0*s + 172, -3*s + 116 = -h. Let a = s - y. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - (2 + sqrt(833))) + -2 - (sqrt(833) + -2 + 2)**2 - (-5*sqrt(153)*-4*2)**2)*1.\nAnswer: -245637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (-6195)\/(-189) - 14.\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -141, -4, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6983*s**2 - 439927*s\/3 + 14 = 0 for s.\nAnswer: -21, 2\/20949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16147591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 292. What is the highest common divisor of 62 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:29 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + 0 + (sqrt(104)*2)\/sqrt(8)*-5*4*1.\nAnswer: -40*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8935230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -8334.\nAnswer: -7\/8334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.024896 - -32.\nAnswer: 36.024896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13563 is divided by 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-329)\/(-14) - 4 - (-2 + -2))*216\/108?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.247604 times 3?\nAnswer: 411.742812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4546480 and 1360?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 874347 (base 12) in base 7?\nAnswer: 24134263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10*p + 15*p = 10, -3*t + 3*p = -30. Let k be ((-2)\/4)\/(13\/26). Put k, -17, t in increasing order.\nAnswer: -17, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47577835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 6*f - 4*f)*(0 + 4 - 2)*(-14*f + 8*f**2 + 14*f).\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*a = -0*m + 14, 0 = -m - 2*a + 12. Suppose -m*w + 0*w = s + 510, 514 = -2*w - 3*s. List the prime factors of 1 - 0 - w\/6*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c*c**(-4\/5)*c)\/c)\/c*c**21*(c*c**22)\/c*c\/(c**(4\/19)*c))**(-39) assuming c is positive.\nAnswer: c**(-162981\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 219*o + 113. Let r(c) = 546*c + 280. Determine -5*r(a) + 12*z(a).\nAnswer: -102*a - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -725\/12 (b) 1\/5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42433964.\nAnswer: 2, 199, 53309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(288) + -3)**2 - (-1 + sqrt(96)\/sqrt(12))) + ((sqrt(200)\/sqrt(4))**2 - (sqrt(2) - 4*sqrt(6)\/sqrt(3))) + 4.\nAnswer: -95*sqrt(2) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39686, -39674, -39662?\nAnswer: -39650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104729*z = -4*u - 104730*z - 311, 2*u + 91 = 21*z for u.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*w - 28 = 37*w + 44*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304356 by 50726.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2045855 to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*q**4 - 3*q + 0*q + 0*q wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22248, 22241, 22234, 22227, 22220?\nAnswer: 22213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = 4*p. Suppose 2*j + 3*z - p*z - 31 = 0, 0 = -3*j - z + 39. What is the lowest common multiple of 18 and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11670 by 4.\nAnswer: -5835\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*x + 1519 = 211 - 1211 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*r**5 - 11\/2*r**3 + 25\/2*r**2 + 12*r - 14 - 9\/2*r**4 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -333285150, -666570303, -999855456, -1333140609, -1666425762?\n\"Answer: -333285153*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4758816 = 4758698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 10, d: 4, a: 3}. What is prob of picking 3 p?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2938.1457 months to years.\nAnswer: 244.845475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33571, 217, -1, -3.\nAnswer: -33571, -3, -1, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/34 + 14*v**3\/51 + 2*v**2\/17 - 80*v\/17 - 3664. Let m(g) = 0. What is g?\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -149. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 + 10744*r**2 + 457696*r + 1658624 = 0. What is r?\nAnswer: -38, -4, 2728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 52 = -4*v. Let x be -3 - 0 - (v - 1). What is the second derivative of -x*u**3 + u**4 + 3*u**4 + u + 11*u**3 wrt u?\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4104 - -156?\nAnswer: -3726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11248452.\nAnswer: 2, 3, 167, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -46270766.77 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphzpfpzp. Give prob of picking 1 f and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 240, 607, 1132, 1815?\n\"Answer: 79*z**2 - 28*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w + 33 = -47*w. Sort 120, 5, w, -2 in ascending order.\nAnswer: -2, w, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 475548698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-12) - (-246)\/(-8). Let m = 33 + w. Suppose -m = -o - 5*d, 0 = o - 5*o - d + 27. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10\/11 (b) 0.3 (c) 4 (d) -0.5 (e) -210 (f) -2.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.1 (c) 0.02 (d) 17\/12 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029452 to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728696007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-14 + 0)) + -4 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 <= -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1321 + 0?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 215 (base 6) to base 8\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(-13\/3)\/(u**3)**(3\/8) assuming u is positive.\nAnswer: u**(181\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1739 = -5*q - 314, -2*r - 1144 = -4*q. Let i = q + 12. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -2, 1, 10 in descending order.\nAnswer: 10, 1, -2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64217099461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:30 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 8. Let d = a + -6.9. Let u = 1 + d. Is 5 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9952332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-4)*(-3720)\/(-18) 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 {c: 5, m: 3, w: 1, e: 3, q: 3}. What is prob of picking 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 - 12)*(-98)\/1. Let w = 101 + l. Let r = -11 + 15. Solve 0 = -0*x - w*x + 4*b - 28, r = b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = -5*h, -h - 29 + 22 = -2*v. Sort -16, -2, -6, h in ascending order.\nAnswer: -16, -6, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urqnnndrnnrnrrnanarq. Give prob of sequence drau.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -302323 (base 4) in base 9?\nAnswer: -4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 419*x**3 - 10*x**2 - 9*x - 53. Let d be u(-5). Let z = -30252 - d. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/2? (a) -0.4 (b) 3 (c) 5 (d) -3064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 11:47 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2119 - -4b?\nAnswer: -20bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + sqrt(168)\/sqrt(4))\/sqrt(2))\/((sqrt(112) - sqrt(112)*1) + sqrt(112)) - (4 + sqrt(9)\/(6*sqrt(6)\/sqrt(2)))**2.\nAnswer: -193\/12 - 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000744816 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23382 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 - 747*n + 23299. Determine r(28).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 48*d + 224.\nAnswer: -2*(d - 4)*(d + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaa when three letters picked without replacement from qqqqqqqqqaqqa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 693288 to the power of 1\/2, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 28819, 1 in decreasing order.\nAnswer: 28819, 1, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(55))\/(sqrt(5) - (sqrt(5) - sqrt(20)\/(sqrt(12)\/sqrt(3)))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from jjkhjjh?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 451.9688ng?\nAnswer: 0.0000000004519688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.02 - -0.02. Let t = 0.9 - -0.1. Let i = -160 + 159. What is the second biggest value in q, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*52.43.\nAnswer: -26.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-52) + 30\/(-8) + 4. What is the second smallest value in -0.55, -0.1, d, -4?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -474704340 to the nearest 1000000.\nAnswer: -475000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**3 + p**3 - 4*p**3 + ((p - 2*p + 0*p)*(2 - 3 + 0) + 4*p - 2*p - 6*p)*(-3*p - p**2 + 3*p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*p - 12. Suppose 5*q = -p + 36. Let u be (3\/5)\/(q\/4). Sort u, -1, 5 in descending order.\nAnswer: 5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**3 - 28*k**2 - 17*k - 33. Let j(x) = 4*x**3 + 14*x**2 + 8*x + 16. Let o(c) = -5*j(c) - 3*q(c). Is o(-8) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10709082 divided by -711\nAnswer: 15062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32325020?\nAnswer: 2, 5, 7, 13, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2 + 1 + (sqrt(684) - 2*(sqrt(684) + 1)) + 2)**2 + 1 + (0 + sqrt(76)\/sqrt(4) - ((sqrt(1900)*-2 - sqrt(1900)) + sqrt(1900))) + -4.\nAnswer: 33*sqrt(19) + 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 81. Suppose 0*s + t = -3*s + 21, -4*s + 5*t = -x. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140329.\nAnswer: 7, 20047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9370.203cm?\nAnswer: 93702030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643324193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6624*r + 2104*r = 94920 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6847, 6937, 7163, 7585, 8263, 9257, 10627, 12433?\n\"Answer: 10*j**3 + 8*j**2 - 4*j + 6833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -77*m**2 + 138*m**2 - m - 57*m**2 + 1. Let h be (0 + 1\/2)*2. What is the least common multiple of 56 and j(h)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 597237076170.999964 - 597239643645. Let n = 2567469 + c. Let g = n - -5. Round g to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-29)\/203 + 4524\/14. Calculate the greatest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 2*h - 7*p = 28, 3*p + 4 = -5*h + 2*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**4 - 16*a**2 + 10*a - 5 wrt a.\nAnswer: 72*a**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 177 = -5*v, -4*c + 0*c + 4*v + 636 = 0. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 20 = 6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*m + 30. Let n = m + 11. Suppose -3*z + n = -7. Solve -3*y = -z*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11019 + 10947 + 0 + 157?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 0.4, 8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 7*a**2 - 11*a + 81. Let i be p(7). Let s(j) = j + 33. Let r(c) = c - 1. Let t(d) = i*r(d) - s(d). What is t(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 40768*c**2 - 285278*c.\nAnswer: -2*c*(c + 7)*(c + 20377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1223, 1430, 1635, 1838, 2039, 2238?\n\"Answer: -s**2 + 210*s + 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}