diff --git "a/data/dm_maths/full_data_1/1955_11255.jsonl" "b/data/dm_maths/full_data_1/1955_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1955_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d = -58 + 57. What is the nearest to d in 0.4, 0.5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m + 54 = -46*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50 + 12*h + 5*h + 3*h + 2*h**2.\nAnswer: 2*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1504523 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -7\/10*y**3 + 93*y - 3\/5*y**2 + 0 + 9\/20*y**4. What is t in q(t) = 0?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*c + 1388 + 100 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2.7, 0.0056, -5.\nAnswer: -5, -2\/3, 0.0056, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3627b (base 13) to base 5\nAnswer: 11134210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 34. Calculate the smallest common multiple of ((-2)\/(-5))\/(2\/60) and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.174 - -0.148. Sort m, 2, -3 in descending order.\nAnswer: 2, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050404.\nAnswer: 2, 3, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(-27)\/(a**0)**(-3\/29) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 2*u**2 - 3*u - 4. Let o(d) = d**2 - 2*d - 2. Let h be o(-2). Let f be (9\/h)\/((-3)\/(-10)). Suppose 5 + 10 = f*g. Calculate b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 5*u**2 + 223 + 3*u**2 + u**2.\nAnswer: -2*u**2 + 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*(2 + sqrt(1300)) + 0)**2 + -4)*-2.\nAnswer: 400*sqrt(13) + 13000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5453 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3311 (base 5) to base 10.\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.89, -150 in ascending order.\nAnswer: -150, 0.89, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 q when three letters picked without replacement from ssssssssssssssqsssss.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.4 + 0.4. Let b = -1.8 - j. Let i = -53744 + 53739. Sort i, b, 0.6, 2 in descending order.\nAnswer: 2, 0.6, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 43*b - 3. Give h(-15).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229954753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000775093 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10*w = -5*w - 204, w = -v + 70. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5588749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -0.2258.\nAnswer: 2.7096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g - g + 3*g + (2*g + 2*g - 2*g)*(-2 - 1 - 4) - 2*g + 5*g - g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -104504, 0, 0.07, 1 in ascending order.\nAnswer: -104504, 0, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*c**2*z**4 - 18*c**2*z**2 - 4*c*z**2 + 13*z**4 wrt z.\nAnswer: -408*c**2*z + 312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:30 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/328 + 171\/328. Factor -r*i**4 - 5\/2*i**3 - 3\/2*i**2 + 5\/2*i + 2.\nAnswer: -(i - 1)*(i + 1)**2*(i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41637 - -541278\/13. Let t = 0.3 + 0.2. Put a, -4, t in increasing order.\nAnswer: -4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/16 and -51\/13570.\nAnswer: 108560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9875977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.294 times -0.1\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 10. Suppose -10*h + x + 118 = -5*h, h - 5*x - 14 = 0. Calculate the highest common factor of h and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10*t. Let q(w) = -16877*w**2. Give q(m(r)).\nAnswer: -1687700*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -386 + -3?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5675427?\nAnswer: 3, 70067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.95351 - 7.992. What is x rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -8. Let p = 47 + s. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 26*z + 557. What are the prime factors of x(19)?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16932 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -3 - 1) + (-87 - -92)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 2*o - 1. Suppose -53 = -5*h + 5*f - 113, 4*h + 24 = f. What is v(h)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 1 - (-1 + -213 + -4). Suppose -h = -7*o + 3*o. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 28678*x**2\/9 - 75193712*x\/9 - 3496\/3 = 0.\nAnswer: -2\/14339, 2622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2084, -19701, -68408, -163757, -321300, -556589?\nAnswer: -885176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.7332 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 + -165. What is the tens digit of (1*58)\/(o - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6049\/98 + -60\/49. Let u = v - 511\/6. What is the common denominator of -31\/9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Solve f*x = 4*o + 24, 4*o = o - 4*x - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-308)\/(-33)*78\/91. Let c(b) = -6 + b - 11 + 6 + 0*b. What is c(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 35 + r**3 - 32.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 34. Solve 0 = 4*k + 2*x - o, k - 5 - 4 = 5*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zoouoozeo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 12. Let p be -6 - -3 - (-7)\/(7\/10). Let v be y(p). Let c be 5\/1*28\/10. Solve v*j + 0*j - 5 = 0, -3*u - c = -5*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/10 - (-2142)\/(-595). Does 9 divide ((-30)\/(-5))\/(2\/(-147)*q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*h - 30 + 68 + 72. Let k = -42 + 66. What is the least common multiple of h and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83594561 - 0.18?\nAnswer: 83594560.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*d = -89 - 1943 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24640, 24638, 24626, 24598, 24548?\n\"Answer: -k**3 + k**2 + 2*k + 24638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*d = -153*d + 28. Solve -10*p = -d*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -12*s - 2*z - 28, 0 = 3*z + 12. Let c(u) = -2*u - 38. Give c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1. Let r(j) = 11*j + 3. Determine o(d) + r(d).\nAnswer: 11*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5586 or 262527\/47?\nAnswer: 262527\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 4. Give h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 = -l, -l - z - 7 = 2*l. Let s be (l - -3)\/2 - -1. Calculate the lowest common multiple of 9 and (s + 0)\/(7 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -33. Is 18 a factor of a\/18 + (-542)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2589484, 2589463, 2589438, 2589409, 2589376, 2589339, 2589298?\nAnswer: 2589253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 32. Suppose -q*a = 2*c - 5*c - 20, a = 5*c + 5. Are c and -1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + a - 1. Let z(p) = -7*p**3 - 4*p**2 + 12*p. Let q(b) = 6*f(b) - z(b). Let y(v) = 4*v**3 - 2*v**2 + 1. Let w be y(-1). Determine q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) - sqrt(10))\/sqrt(2) + sqrt(720)*1)**2 - (2 + 3 + sqrt(5)*1 + sqrt(5))**2.\nAnswer: -20*sqrt(5) + 1235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.5, -3\/2, 44, -2, 3\/2, -10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14975615949\/3891013300 + 10895\/306379. Let h = 426\/127 - k. What is the common denominator of -19\/55 and h?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1641*t + 104*t + 2402*t - 105*t.\nAnswer: 4042*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - a + 10. Let h be w(0). Calculate the smallest common multiple of 4 and -2*4\/20 + 44\/h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -381246 by 63541.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 44. Let x be (-6)\/27 - 6\/b. Does 17 divide (-4)\/2 + (36 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104.89 + 104.69. What is the nearest to 1\/2 in -0.04, u, -4\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 8*m + 7. Let h be r(-6). Let s(u) = 7*u + 5. Let c(t) be the first derivative of -3*t**2 - 4*t - 3. Calculate h*s(w) - 6*c(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3042 by -6.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 31 - 22 = 4*w, 0 = 3*u - w - 47. What is the highest common divisor of 105 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*p**3 + 85*g**3*p**2*q - 4*g**2*p*q - 6*g*p**3 + p*q wrt g?\nAnswer: 6*p**3 + 510*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 486 + -483.39. Let d = n + 0.39. Let a = 0.8 - 4.8. What is the nearest to -1 in a, d, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + s - 48 = 0, 5*w - 60 = 3*w + 5*s. Let j(a) = -a**3 - 19*a**2 - 24*a + 117. Let i be j(-18). What is the highest common factor of w and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(7\/14 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 5\/3, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 51384.5 to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133 - 10151?\nAnswer: -10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6775630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97194 is divided by 419.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 17*y - 1. Let v be g(1). Suppose v = 4*o + 4. What is the tens digit of (-2)\/o - (-123)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*x + 172 + 28 = 32*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -3. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -6. Suppose 3840 = -0*h + 16*h. Suppose 0 = -0*n - 6*n + h. Calculate the highest common factor of n and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 10*r + 27. Solve 13 = 4*s + r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67956 less than -0.728?\nAnswer: -0.04844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134736, 134998, 135252, 135492, 135712, 135906, 136068, 136192?\nAnswer: 136272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/o)**(-50) assuming o is positive.\nAnswer: o**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -2.1 (c) 2\/13 (d) -1\/27 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1438 + 1473. Calculate the highest common divisor of d and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 123, -10691 in increasing order.\nAnswer: -10691, 3, 4, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 75. Suppose -2*q + 1299 = y*u - 409, 0 = -5*q - u + 4293. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**4 + 323730*p**3 + 3*p - 8141983.\nAnswer: 12*p**3 + 971190*p**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -111*z + 9999. Determine k(97).\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*m - 18 = 0, -5*b + 2*b = 2*m - 5. What is the units digit of (13\/(-39))\/(b\/99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + ((-3)\/9 - 3). Let c = 0.04 - -0.06. Let v = 0.1 + -0.1. What is the nearest to n in v, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 11. Let t = i + -1. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 394938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*d + 99 = 0, 4*w - d = -5*d - 96. Let t be w\/(-13)*(-2 + 20\/(-15)). Let q = -516\/91 - t. Which is the biggest value? (a) 3\/5 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 147, 289, 431?\n\"Answer: 142*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2)*2) + (-1*sqrt(16) + sqrt(16))\/sqrt(8).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167148 a multiple of 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*m + 75 = 0, -2*m + 4*m + 8 = 0. Let g = y + -8. What is the third derivative of 17*t**6 + g*t**2 - 12*t**6 + 0*t**2 wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*9\/(-12)*6. Let y(w) = w**2 + 11*w + 20. Calculate the least common multiple of y(s) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-2 - -6)*4. Let k = 4 - p. Which is the second biggest value? (a) 1 (b) 2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*c + j, 3*j - 3 + 6 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 28. Let s(i) = -104*i**3 + 2*i**2 + 2*i. What is the units digit of s(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2711373 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 19. Let o be (x\/10)\/(6\/(-75)). Suppose o*g - 131 = 309. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/30*(-8)\/(-3). Suppose 5*v = -3*l + 10, -v = -t*l + 18 + 3. Calculate the remainder when 56\/6 + 2\/(-6) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17 from -111761097.\nAnswer: -111761080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149635817 is divided by 37408954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-24)\/(-4)*(-6)\/4. Let a(g) = -g**2 + 9*g - 9. What is a(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 257, 4 in decreasing order.\nAnswer: 257, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3815, 7634, 11465, 15314, 19187, 23090?\n\"Answer: l**3 + 3812*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -3 - -3) + 9. Let v be x*-25*3\/(-12). Suppose 0 = d - 3*d + v. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k**5 + 5038374*k**4 - 3358910*k**3 + 559818*k**2 = 0.\nAnswer: 0, 1\/3, 279909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12955, 12874, 12799, 12730, 12667, 12610, 12559?\nAnswer: 12514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11 - 7 + 3 + s. Let d(f) = -2*f - 13. Let o be (1\/(-2))\/((-23)\/((-1656)\/12)). Calculate o*d(a) - 5*c(a).\nAnswer: a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 30*j**2 + 22*j - 41. Let v(w) = 10*w**2 + 8*w - 13. What is 11*v(q) - 4*z(q)?\nAnswer: -10*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/13 (b) -139 (c) 1\/3 (d) 29507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 304512 = -22*f. Does 52 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4311772114?\nAnswer: 2, 13, 2423, 68443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 5*b**2 + 5*b - 8. Let r be p(-6). Is -6 + 279 + r*(-2)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/21 (b) 56.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-16))\/(3\/4) + 5. Let b(m) = 125*m**2 + 3*m - 7. What is the tens digit of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -a - a + 4*x, -2*a + x + 9 = 0. Suppose -2*u + 2*w + 12 = 3*w, -4*w + 13 = u. Sort 1, u, a in increasing order.\nAnswer: 1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*r**3 + 157*r**3 + 28*r**3 + 146*r**3.\nAnswer: 485*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4135, 1 in ascending order.\nAnswer: -4135, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 73*o. Let p(j) = 225*j**2. What is m(p(k))?\nAnswer: 16425*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 3\/2*q**2 + 6*q + 6. What is the derivative of u(t) wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -985, -1022, -1085, -1174?\n\"Answer: -13*u**2 + 2*u - 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q*r**4 - 5*q*r**3 - 20*q*r**2 - 7116*q*r - 219*r**4 + 786*r**3 wrt r?\nAnswer: -48*q*r - 30*q - 5256*r + 4716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80920, -80937, -80956, -80977, -81000, -81025?\nAnswer: -81052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218372?\nAnswer: 2, 7, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3 - -1) + 264\/(-13464)\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -48. Suppose -4*c = c - a. Let z(t) = -c*t + 2*t - 2*t. Let k(d) = 2*d**2. Give z(k(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-522)\/(-5) + 6\/(-15). Let x = o + -56. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uewhhw. What is prob of sequence uw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 177866 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -95874 at least -95872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -310, 1\/6, 2815, -4, -0.121 in descending order.\nAnswer: 2815, 1\/6, -0.121, -4, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 80403987*o**4\/2 - 401957811*o**3\/2 + 241056657*o**2 + 186342*o + 36 = 0.\nAnswer: -2\/5177, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -0.1, -2\/5, -0.2, -51\/71?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 9)\/((-9)\/18). List the prime factors of 81*(-3 - m\/(-6)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 31*c + 140. What is p(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x*y**3 + 4*x*y - 22*x + 59*y**5 wrt y?\nAnswer: -12*x*y + 1180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**3 - 21*k**3 - 2*k**3 + (-k - 3 + 3)*(-2*k**2 + 3 - 3) - 4*k**3 + k**3 + 5*k**3 to the form t*k + i*k**3 + q + u*k**2 and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.2, -2, 1\/3, -0.4, -26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4108*g**2 + 433*g - 11. Let w(s) = 8221*s**2 + 863*s - 21. Let n(v) = -11*m(v) + 6*w(v). What is the second derivative of n(r) wrt r?\nAnswer: 8276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8710845 (base 9) to base 4.\nAnswer: 101310221321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-9)*5151\/(-85). Suppose -3*g - 65 = -c. Solve -g*p + 6*p + 24 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 398 (base 11) to base 12\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.84 - 0.5. Let s = -0.3399966 + r. What is s rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + (21 - 4 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 11*j - 23. Let m be k(7). Suppose -b + 8 = 3*b. Suppose 0 = b*a + 2*z - 136, 0 = 3*a + m*z - 59 - 137. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2 - 2)*(-3*g + 3*g + 10*g**2) + (2*g**2 - 7*g + 16*g - 11*g)*(-3*g - 9 + 9).\nAnswer: -16*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -8, -1, 1 in decreasing order.\nAnswer: 6, 1, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -7 + 4 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1) + 322\/414. What is the nearest to -0.1 in 1\/4, 3, -5.32, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91808 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: Solve -131 = -8*s - 12*s - 391 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/2 - 3269*x**3\/2 + 26225*x**2\/2 + 29493*x\/2 = 0. Calculate x.\nAnswer: -3277, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 18*n + n + 26. Which is smaller: 6\/5021 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73326743 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 3. Calculate r(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -662, -691, -740, -809?\n\"Answer: -10*i**2 + i - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (319\/(-22))\/(1 - (-10)\/(-8)). Let o = p - 48. Solve -o = -2*i - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 17?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -446, -600, -752, -902, -1050?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1131 = 79*o - 1210 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3969\/(-126)*(28\/3)\/(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r = -17689 + 4282. Let l be (6\/4)\/(2\/(-304)). Let x = l - r. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (4*sqrt(228)*-1 - sqrt(228)) - sqrt(228))\/(((sqrt(12) - sqrt(48)) + sqrt(12) + sqrt(12) + sqrt(12))*3).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229652\/11 + -20862. Which is bigger: w or 15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-14)\/(-4)) - 40\/(-105). What is k in 0*k + v*k**4 - 2\/3*k**2 + 0 + 2\/3*k**5 - 2\/3*k**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4131\/6685 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:47 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5))**(-46)*(w**2*w*w)\/(w*w*w*w**(-13)) assuming w is positive.\nAnswer: w**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Suppose -v - 4 = -2, -h*v = -5*k + 30. Let t = k - -10. Calculate the remainder when 40 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 15\/1423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -785373 (base 9) to base 10.\nAnswer: -469785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*-5*sqrt(2057)*5.\nAnswer: 3300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 204*i**2 + 1251*i + 1890.\nAnswer: -(i - 210)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 2, r: 2, q: 1, d: 4}. Give prob of sequence qd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1220 and 13\/488?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 98.6 times -0.058551\nAnswer: -5.7731286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 4*x + 2*x)*(-5 - 4 + 1)*(-29*x + 174*x - 74*x) to h*x + z*x**2 + d and give z.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12545*w**5 - 2*w**2 + 52521*w wrt w.\nAnswer: -250900*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 196242 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*-1 - sqrt(21))\/(sqrt(7) + sqrt(56)\/(sqrt(8) - sqrt(72))).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.349142 nanograms to kilograms.\nAnswer: 0.000000000005349142","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 2.81875 rounded to 2 dps?\nAnswer: 2.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2903\/132 - -230\/11. Let f be (34 - 33)*(-2)\/2. Is m > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 2797340*z - 97911800.\nAnswer: 4*(z - 35)*(z + 699370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzzdzzzz. Give prob of picking 1 d and 2 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -269660013 by -6.\nAnswer: 89886671\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*n**3 + 2*n - 19 wrt n?\nAnswer: 318*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/3, -0.2, 1\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17435309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hffhhffhfh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5 = -0. Let m = -30451 + 30498. What is the common denominator of -13*(-2 - j)\/(-2) and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 271280\/50*(3 - (-3)\/(-6)). What are the prime factors of k\/36 + (-9)\/(243\/(-6))?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2032592 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -32674 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4224 is divided by 1407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40864.9 - -40865. Let y(h) = -h**3 + 2*h**2 - 4*h + 3. Let m be y(2). Which is the nearest to 1\/4? (a) -1\/5 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 - 13243*c\/6 - 13241\/3.\nAnswer: -(c + 2)*(c + 13241)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -394.29801708209 and 12.\nAnswer: -382.29801708209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 15051*c - 2287755. Give i(152).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p**2 - 6*p**2 + 11*p**2)*(-p - 3*p + 2*p - p - p + p + (2 - 2 + 2*p)*(-2 + 0 + 0) + 1 - 1 - p) to c + w*p**2 + b*p + k*p**3 and give k.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 8 - (-4 + -9 + 21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1768, 1796, 1842, 1906?\n\"Answer: 9*a**2 + a + 1758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 9, h: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) -6 (b) 234 (c) -1\/2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*u + 50, 2*n - 3*u + 36 = 5*n. What is the remainder when 0\/(-3 - -7) + 40 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 9578748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 79*a**3\/6 - 55*a**2 + 65*a + 1. List the prime factors of l(25).\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*q = 21, 10*k - 6*k - 3*q - 3 = 0. Solve -k*j = j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*z + 47, -59 = -4*a + a + 4*z. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767529 and 729864?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.17939 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 347*w**5 - 747*w wrt w.\nAnswer: 6940*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89149864 divided by 4.\nAnswer: -22287466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2334115 or -2334118?\nAnswer: -2334115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) -467 (d) -11\/4 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-7\/3)\/o*o)\/(o\/o**(1\/3))*(o**3*o)**43 assuming o is positive.\nAnswer: o**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 3*q**5 + 448502*q**4 - 448502*q**4 - 49*q**2 - 12*q + 63*q**6 wrt q.\nAnswer: 7560*q**3 - 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + -2 + 5)*(-14)\/(-14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 + 14*h**2 + 16*h + 30. Let g be x(-6). Solve 0 = -11*j + g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from ccccmcmccc.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103672301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) + 2\/(-5). Suppose z = -5*u + 208 + 2. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144942888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-12))\/2*(-900)\/(-210)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 4*d - 38. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8457 is divided by 134?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a876d (base 15) to base 9.\nAnswer: -2382404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 6, s: 3, e: 2, f: 1}. Give prob of picking 1 f and 1 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8d (base 14) to base 9\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3)\/(-9)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14927 - -14926.9. Put 8, 0, 7, f, -1\/3 in decreasing order.\nAnswer: 8, 7, 0, f, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.55644 + -169.443. Let s = v - -185. What is s rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -25*i**7\/24 + 109*i**6\/4 + 929*i**5\/16 - 205*i**4\/12 - 135*i**3\/2 + 50*i**2 - 1135*i. Solve a(f) = 0 for f.\nAnswer: -1, 2\/7, 2\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2 + w**2 + 4*w**2 + 0*w**2 - 3*w**2. Let s(q) = 2*q**2. What is s(r(l))?\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (7 - 2107\/(-6)) + (-2)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -781.9089 + -0.0911. Let u = k - -784. Let p = 1.3 + -0.3. Which is the closest to u? (a) -4\/3 (b) p (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, 155?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-10 - (-3 - 32))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(120)*-2)\/sqrt(3))\/(sqrt(96)\/sqrt(48)).\nAnswer: -4*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 39 = 4*y. Let g = y - -20. Let u(c) = -c**2 - 8*c + 11. Let f be u(-9). Solve -o + g = -3*m - 5*o, -3*o - 4 = f*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0392817297 rounded to five decimal places?\nAnswer: 0.03928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9588 + -0.0412. Which is the third biggest value? (a) 2\/5 (b) -0.4 (c) v (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-533)\/(-143) - 13)*-11. Let i = -15 + 18. Suppose -t + 3*o = 2*o - 15, i*o = 6. Calculate the greatest common factor of t and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 - 330*b - 41599. Give c(130).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5699050 to the power of 1\/2, to the nearest integer?\nAnswer: 2387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6213b (base 12) to base 3\nAnswer: 20111200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 8*q + 16. What is k(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53578957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217663 (base 8) to base 9.\nAnswer: 122024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/13 - 4860*z\/13 - 2952450\/13 = 0. What is z?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/94 and -21\/19.\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 0. Let s = 0.8 - j. Let f(d) = -3*d. Let w be f(1). Which is the nearest to 0.1? (a) -1\/3 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, 4, 3, -176 in descending order.\nAnswer: 4, 3, -127, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 10*n**2 + 10*n + 15. Let l be k(11). Let i be ((-9)\/l + 2)\/((-1)\/8). Solve 5*m = 3 + i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (-63 - (-58 - -8)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-1 + sqrt(30)\/(sqrt(12)\/sqrt(2)) + -3 + sqrt(20)\/sqrt(4) + sqrt(15)\/sqrt(3)*-5)**2.\nAnswer: 30*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1995?\nAnswer: 9975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(931) - sqrt(931)) + sqrt(931))*3)**2.\nAnswer: 75411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5166\/(12\/2) - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5524 and 117117086?\nAnswer: 2762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199 by -5.\nAnswer: 199\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 2. Let w(r) = 6*r + 11. Suppose -y = 2*x - 13, 37 = 4*y - y + 4*x. Let z(j) = y*u(j) - 2*w(j). Let f(m) = 4*m**2 + 24 - 24. Determine f(z(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60856*v - 23805 wrt v?\nAnswer: 60856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:37 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -7. Suppose 0 = 3*y - 5*y - i. Suppose 4*a = 5*f + 85, -11*f + 7*f - 3*a = -25. Is f greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -y - 2*b, 3079*b - 75 = 7*y + 3097*b for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95321 divided by -479.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -151425\nAnswer: -4\/151425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74430*m**3*x**3 - 228*m**3*x**2 + 3*m**2*x**4 + 172*m**2 - 9*x**2 wrt x?\nAnswer: 446580*m**3 + 72*m**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*w = 201*w - 54. Let x(v) be the first derivative of -4 + 0*v + 2\/9*v**2 + 2\/27*v**w. Solve x(o) = 0 for o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41337, 41790, 42261, 42756, 43281, 43842?\n\"Answer: z**3 + 3*z**2 + 437*z + 40896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-45152)\/340)\/(4\/(-30)). What is the lowest common multiple of 2\/4 + a\/24 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126582 + 4?\nAnswer: -126577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64592*a**3 - 2*a**2 - 189424*a.\nAnswer: 387552*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5658701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.2 (b) -0.4 (c) -0.5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34334.4 rounded to the nearest one hundred?\nAnswer: 34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/1)\/3 + 2. Let r = 5 - k. Let i = -0.1 + -0.1. What is the closest to 1 in i, r, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -589 - -631. Suppose -42*z + 35*z + s = 0. Solve z = -0*o + 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 - -115. Solve 4*t = -5*a - i, -t - t + 4*a - 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - q + 18 = 0, -2*i = 5*q - 10 - 11. Sort 2, -4, i in descending order.\nAnswer: i, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511 divided by 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 113865702 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/(18\/63*46).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(-1) + (-20 - 18\/(10 + -11)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 2, 41 in decreasing order.\nAnswer: 41, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.164 and -0.096.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.95322 to one decimal place.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -4831\/48 - -1521\/16. Find the common denominator of g and 81\/1316.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*k + 6419 - 23623, -2*n + 5*k = -11444. What are the prime factors of n?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 62*t**2 - 6. Let m(j) = 371*j. Give m(l(r)).\nAnswer: 23002*r**2 - 2226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 288342797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9060575 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 15*g**2 + 15*g + 20. Let s be f(16). Let u = -1424 + 1344. What is the biggest value in 3, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816 and 19823952?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290432 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2875*b**5*l**3 - 83*b**3*l**3 - 21*b**2*l**3 + 36489*b**2*l wrt b?\nAnswer: -172500*b**2*l**3 - 498*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r)\/(r*r**(2\/21)) assuming r is positive.\nAnswer: r**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*q = 292*q - 24*q + 1452 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 800 + 7120. Suppose -49*l = -4*l - h. Calculate the smallest common multiple of 48 and l.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569966?\nAnswer: 2, 29, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2)*(-2)\/4. Let c(h) = h - f + 1 - 2. Calculate c(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(sqrt(12)\/sqrt(4))**2.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5714256 (base 9) to base 16.\nAnswer: -2f002e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -13. Suppose s + 5*a - 10 = -t*s, -5*s = 2*a - 4. Suppose s*h - m - 9 = -2*h, 0 = -4*h - 4*m + 48. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*c**2*m**2*s**2 + 15944*c**2*m*s**3 - c*m**2*s**3 - 36*m**2 - 54*s**3 wrt c.\nAnswer: -34*m**2*s**2 + 31888*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 1 - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {d: 2, w: 5, q: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10 + 56360\/5664 - 1*1\/(-8) and -13\/2.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168029363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.04940826 - -0.0658048\nAnswer: 0.01639654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1096 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**6\/360 - x**5\/15 + 5*x**4\/12 + x. Let b(k) be the third derivative of h(k). What is the first derivative of b(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7165 - 3398. List the prime factors of r.\nAnswer: 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*h*s + 495039*f*h*y + f*h - 2*f*s**3*y - 2*f*s**2 + 2*h*s**3 + 5326*h*s**2 - h*y + 1 wrt y.\nAnswer: 495039*f*h - 2*f*s**3 - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2625625 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -13500 + 15703. Does c = 2203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**3\/3 + k. Is 9 a factor of x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-275)\/(-8) + -5 + (-15)\/40\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((37\/40 - -1) + 216\/(-1728))*8580\/156?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1974)\/188 + 195\/18\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 15*y**2 - 16*y + 26. Let t be g(14). What is the tens digit of -2 + 1 - 78\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334 is divided by 426.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bpbcxic?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 36. Sort 5, g, 15 in decreasing order.\nAnswer: 15, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + 50344\nAnswer: 50343.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 7*l**2 + 10*l - 2. Determine a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**3 + 12*d + 1. Let c = -9 + 2. Let k(m) = -6*m**3 - m**2 + 13*m. Let p(w) = c*j(w) + 6*k(w). Let h = 9 - 14. Calculate p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-2)\/4*12. Let z = p + 25\/2. Factor 1\/2*t**3 - 1\/2*t + z*t**4 - 3\/2*t**2 + 1.\nAnswer: (t - 1)**2*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4567, -9076, -13585, -18094, -22603?\nAnswer: -27112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 5330?\nAnswer: -5331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*o**2 + 179*o**2 - 92*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byagkaaygbyayg. What is prob of sequence bbyk?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**2 - 26*i - 3. Give m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -453\/10 at least as big as 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 4*m + 5. Let a be q(-10). Let i = 70 - a. Solve -4*j + i*j = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x**3 + 33*x**2 + 78*x + 43. Let w(i) = 95*i**3 - 395*i**2 - 935*i - 515. Let d(z) = -35*v(z) - 3*w(z). Let d(k) = 0. Calculate k.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00720657556 rounded to four dps?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h, -d + 1 = -2*d + 5*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 189 - 3 = 4*k, 0 = 4*k - 3*i + 160. Which is the nearest to -0.07? (a) k (b) -3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - ((12 - 22) + 0)) + 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + 12)\/(5\/30). Solve -5*g + s = a - 2*a, -4*a + 22 = 3*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6938.864m?\nAnswer: 6938864000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 11) in base 5?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - 35\/7*(-38)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2083, -2094, -2109, -2128, -2151, -2178, -2209?\nAnswer: -2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4086 - 3142. Let a = 2628 + s. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 491*u - 973*u - 4 + 283*u + 324*u + 291*u in the form w*u + b and give w.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*o - 462. Let u be 4\/(-14) - 984\/o. Let g be (-10)\/u - (3\/2 + 0). Does g = -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from bhjjhbhbbbbhjjjbbjb?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 - 2*z - 12*z**2 - z**2 + z to q*z + r + h*z**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 1 (c) 1\/48 (d) -4 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 34*o = 20*o + 23*o + 220, -20*o = 100 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 17*j + 45. Let h be b(6). Suppose -h + 21 = -18*t. Let r(v) = 6*v**2 - 3*v + 3. Let w(a) = -13*a**2 + 7*a - 7. Give t*r(o) + 3*w(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.023 - 0.023. Let t = -30 + l. Sort 3, 0.7, t.\nAnswer: t, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5758 - 8543. Which is smaller: h or 2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 11*h**2 + 587*h - 7969. Calculate u(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/2206 - 60063\/341930. Calculate the common denominator of z and 131\/170.\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 3 - (6 + -19). Let y be (-10 + 1 + 2)\/(-1). What is the greatest common divisor of y and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 29328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -82\/39, 0.003, 2\/9, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 96, 129, 148, 147, 120, 61, -36?\n\"Answer: -m**3 - m**2 + 43*m + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlplpwl. What is prob of sequence lp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 15, 3*o + d = 2*d + 1601. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -2 - (2 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3040 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqkkmnrkrqqrqm. Give prob of picking 1 m, 2 q, and 1 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12207679?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 + 37*a**2 + 72*a**2.\nAnswer: 119*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n - 3. Let w(a) = -a**2 - 4*a - 4. Let d(i) = 4*s(i) - 3*w(i). Let t(b) = 316*b + 318*b - 625*b. Determine t(d(m)).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498 divided by 207.\nAnswer: -166\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12218892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 8 + 35. What is the remainder when i is divided by (-1)\/(-2)*(10080\/(-21))\/(-16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890532637?\nAnswer: 14347, 62071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {t: 2, q: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Let o be (-1)\/(786\/(-30) + 26). Sort n, o, -4, 13.\nAnswer: -4, n, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 108 = 11*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -378*l - 15876. Let u be w(-42). Let v = 4 + -7. Which is the closest to -1\/4? (a) 0.43 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2761563 is divided by 50208.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5 + 6 + 0*v + v. Let k be c(2). Solve 0 = -x - k*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -84. Let s = q + -35. What is the derivative of 6*w**3 - 3*w**3 + 3 + s wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 345 and 302 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 6013256?\nAnswer: 6013249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 10*h + 6. List the prime factors of t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16400000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 9 - 56)*(3*r - 3*r - 2*r).\nAnswer: 132*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = 2*h, 5*h = -6*l + 3*l - 4. Let n be (-1 + (h - 1))*-1. Does 11 divide n\/3 - (-65)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593503448 rounded to the nearest one million?\nAnswer: 594000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*s + 25 - 216, -149 = -3*s - 5*n. Suppose s*v + 161 + 271 = 0. Let x = -3 + 4. Put v, x, 3 in descending order.\nAnswer: 3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*s + 12 = 0, 0 = -4*o + 2*o + 3*s - 8. Let b be ((-14600)\/(-6))\/(o\/(-3)). Suppose l = -0*l + b. Round l to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 8*x**2 - x + 4. Let w be v(7). Let p = w + 57. What is the smallest common multiple of 27 and p?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2. Let h = -19 - -22. Let o(f) = h*f - 5*f + 0*f. Calculate o(b(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - 16 - -751)\/2. Suppose 11*b - 437 = -x. What is the smallest common multiple of b and 86?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/12 + 7*j**3\/3 + 33*j**2\/2 - 77*j + 1. Calculate m(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 301\/8 - (-123)\/328. Suppose 284 = h*n - 96. Let k = 8 - 0. Is k less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3348 divided by -558?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -30125*h + 30123*h - 2*h**2 + 2 + 4*h**2 + 46 as c + x*h + y*h**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -16. Suppose -2*c + 2*g = g - x, -2*c + 12 = -2*g. Is (24\/(-30))\/(c\/(-50)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.85 - 0.15. What is the third smallest value in -4\/5, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 956\/10755 + (-15954)\/270?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592835122?\nAnswer: 2, 11, 26947051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 126*o**3 - 1164*o**2 + 3960*o + 11616.\nAnswer: -3*(o - 4)*(o + 2)*(o + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s**2 - 18*s**2 + 6*s + 13 + 29*s**2 - 20*s**2. Let t(g) = g + 6 + 4*g**2 + 2*g - 2*g**2. Let h be (-28)\/(-6) + 10\/(-15). Give h*c(o) - 9*t(o).\nAnswer: -2*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2801, -2902, -2995, -3074, -3133, -3166, -3167, -3130?\nAnswer: -3049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*x + 373*x = 60. Suppose 0 = 2*r - 4*y - 78, 2*y - 143 = -5*r - 8. Put x, -1, -5, r in ascending order.\nAnswer: -5, -1, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2. Suppose 5*x - 25 = -2*z, 0*z - 2*z - x + 13 = 0. Suppose 0 = -5*a - 0 - z. Let k be t(a). What is the greatest common divisor of k and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562825?\nAnswer: 5, 11, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12*k**2 - k - 4. Let h be (9\/(-72) - 35\/(-24))*3. Let i(f) = 12*f**2 + f + 5. Determine h*i(o) + 5*c(o).\nAnswer: -12*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459882808 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13835 + -7289. List the prime factors of d.\nAnswer: 2, 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - a**5 - 2*a**4 - a**5 + 0*a**3 + 0*a**3 + (3 - 3 + 2*a)*(2*a**4 + a**4 - 5*a**4) - a**5 + 118672*a**2 + 7*a**4 - 2*a - 118672*a**2.\nAnswer: -7*a**5 + 7*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*r**2*t + 210*k*t + r**2*t + 27*r*t with respect to k.\nAnswer: -r**2*t + 210*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(7*8\/(-98))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 9*h + 3*h + 17*h**4)*(-14 + 3 - 2).\nAnswer: -221*h**4 + 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 323749 a multiple of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -0.2. Let r = 618 + -615. Sort m, -2\/13, r in descending order.\nAnswer: r, m, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 8*j)*(0 + 2 - 3)*(-627 + 276 - 548).\nAnswer: 7192*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17 = 16. Suppose p - 5*y = 0, y - l = -p - p. Suppose 2*t = 2*h + p + 1, 4*t + 2 = -3*h. Solve 0 = -i - 0*i - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166094606 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) 0 (c) 2\/9 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -185, -2 in decreasing order.\nAnswer: 1, -2, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25880 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 27. Let h be x(18). Suppose 19 = -h*q - 8. Sort -11, -1, q, 0 in ascending order.\nAnswer: -11, q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 299 = 806. Calculate the remainder when y is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 0 + 30*h + 20*h + 8 + 6. Let k be (-201)\/7 - -1 - (-2)\/(-7). Let m(l) = -10*l - 3. Let a(v) = k*m(v) - 6*j(v). Let n(w) = 2*w**2. What is a(n(z))?\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4 - 20*c**3 + 146*c**2 - 460*c + 525 = 0. What is c?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34415, -275503, -929885, -2204207, -4305115, -7439255, -11813273, -17633815?\n\"Answer: -34441*r**3 - r**2 + 2*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2948405 - 2.5\nAnswer: 2948402.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.52027 - -0.52027. Let d = -3.5 + 0.5. Sort 15, h, d in decreasing order.\nAnswer: 15, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -27*p + 2495. Let h be l(92). Solve -4*d + 8 = -4*v - 4, -h = v + 3*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -23\/3, -4\/3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Suppose -s = c - 2*s, y*c + 10 = 5*s. Solve 0*b = c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1375 (base 13) in base 9?\nAnswer: -3751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21010 or 63032\/3?\nAnswer: 63032\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 - -1)\/((8\/(-451))\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3785 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(4\/3))\/(y*y*y**(-7\/2)\/y*y*y))**9 assuming y is positive.\nAnswer: y**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 338 - 98 = 0. Suppose 6*t = 45 + 75. Calculate the least common multiple of i and 9 - (-5)\/(t\/8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*h + 4*h. Let w be 6*h\/(24\/(-14)). Suppose 3*s = 4*z - 5*z - w, 0 = 3*s - 2*z + 17. Put s, -4, -1 in ascending order.\nAnswer: s, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3\/3 - 8*d**2 + 15*d. Let i be m(10). What is the derivative of 382*j**i + 8 - 3*j - 354*j**4 + 3*j wrt j?\nAnswer: 112*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15775271230589.999802 + 15775315592061. Let i = 44361693 - q. Let n = -222 + i. Round n to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4*sqrt(54)\/sqrt(2))\/(sqrt(441) - 2*sqrt(441) - sqrt(441)))**2.\nAnswer: -184\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11563216\/9 - -1286186. Let j = 1391 - n. What is the common denominator of j and -61\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 50.25655 millilitres?\nAnswer: 0.05025655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5628, 5626, 5622, 5616, 5608?\nAnswer: 5598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 5*q + 0*q + 80 + 28 = -5*u, 3*u = 13*q - 276 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 999525 and 375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3767 - -1?\nAnswer: -3766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d + d)*(3*d + 9*d + 4*d).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 9*r - 11*r**2 + 3*r**2.\nAnswer: -3*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -79*z**2 + 3*z + 15. Let a be l(-3). Let t = a - -1245. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31605 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74493679 to the nearest integer?\nAnswer: 8631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3936 - -3934. Which is the closest to t? (a) -0.1 (b) 2 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllfffflflf. What is prob of sequence ll?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 20. Let v be ((-75)\/45)\/(2\/(-18)). Calculate the lowest common multiple of 16 and (6 - (-10)\/v)\/(n\/6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8958 + 12714. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.69 - 482.51. Let x = -547 - o. Round x to 0 decimal places.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:14 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/63 (b) -0.2 (c) 4\/5 (d) -4 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-2\/3)*(i*i**(-12\/13))\/(i*i**(-6)) assuming i is positive.\nAnswer: i**(224\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 2:33 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.3169+83\nAnswer: 81.6831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 198*g**2 + 1714*g + 1288. Calculate x(9).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 + 95*x + 445. Calculate t(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 8*a**2 + 19*a**2 - 23*a**2 + (-27 - 4*a + 27)*(-a + 0*a + 2*a) to the form x + h*a + g*a**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335955*p + 21420 = 334884*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -570784 in -2\/5, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6812 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363*o**5 - 2*o**4 + 21*o**3 + 27576*o.\nAnswer: 7260*o**3 - 24*o**2 + 126*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 22*w**2 - 50*w - 48. What is i(20)?\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 54537 divided by 4\nAnswer: 54537\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6070.8 and -2165756?\nAnswer: 2159685.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zla when three letters picked without replacement from {z: 6, l: 3, a: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-5 - -16) - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 347*u + 7636. What is n(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69508 take away 241347.9781?\nAnswer: -310855.9781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + 15. Calculate the remainder when (-6)\/(-4)*(-6700)\/(-75) is divided by n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42095651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0028675 and 130.2.\nAnswer: -0.3733485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t - 930*t**2 - 1 + 931*t**2 - 6*t + 2*t**4 as d + y*t**2 + l*t + x*t**4 + h*t**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:55 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**3 - 22*f**3 - 5*f**5 + 4*f**3 - 47 + 4*f**3 + 3*f**3 + 2*f**2 wrt f?\nAnswer: -300*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*c - 606*c + 35*c**3 - 240*c.\nAnswer: 35*c**3 - 564*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 233 - 324. Solve -3*p + 6*r + 11 = 2*r, 5*p - k = 4*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 8.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2*o**2 + o**2)*(12*o - 17*o + 8*o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 59 - (2 + -11 + 8 + -14 + 34)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*1 + (-2*sqrt(468) - sqrt(468)) + sqrt(13).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 32*m**2 + 158*m + 45. Determine v(27).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + -3*-2*sqrt(76) - 5*(2*sqrt(76)*-3 + sqrt(76) + (sqrt(76)*2*-6 - sqrt(76))))**2.\nAnswer: 700416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210943141*b**3*n**3 + b**3*n + 1255*b**2*n**3 - 1874*b**2*n - 2*n**3 wrt b.\nAnswer: 1265658846*n**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 - 0 - 0). Let g be (-2)\/(10\/(-45)) - -2. Let r be (-2)\/(-8) + (-11)\/(-4). Solve r*p - g = o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*g = -10, 4*l - g - 8 = 2*g. Let w(o) = -11*o**l + o**2 + 7*o**2. Let s(k) = -27*k**2. Determine w(s(f)).\nAnswer: -2187*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 3, 2\/27, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393920 and 187112?\nAnswer: 7484480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((1\/2)\/(-1))\/(7\/6). Which is the closest to 1? (a) 39 (b) 0 (c) m (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-32) + 9\/27*15?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-2467.1\nAnswer: -986.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.4. Let m = -1.3 + 0.3. Let b = m - q. Sort -3, 1\/3, b.\nAnswer: -3, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*v = 116*v - 69*v. Put v, 5, -48 in decreasing order.\nAnswer: 5, v, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**4\/2 + 51873*f**3\/2 - 103737*f**2\/2 + 51867*f\/2 = 0.\nAnswer: 0, 1, 17289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3392 + 3382 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 679415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*k = -3*k - 1, -3*k + 14 = -s. Let d(y) = y - 3. Let p be d(7). Suppose l + p - 3 = 0. Put s, -3, l in descending order.\nAnswer: l, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*u - 2*h - 70, -112 = -4*u - h. Calculate the remainder when u is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11922*v**3 - 8*v**2 + 102*v wrt v?\nAnswer: 71532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 8 + -6 - 12*(-99)\/220?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62002 (base 10) in base 4?\nAnswer: -33020302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 + 7*s + 11. Let n be j(8). Suppose p + 21 = n*v, p = -5*v + 14 + 5. Calculate the common denominator of ((-95)\/p - -2) + 2 and -25\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from qkmggk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905540 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/25194 and -73\/8398.\nAnswer: 25194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32541035, -65082096, -97623155, -130164212, -162705267, -195246320?\nAnswer: -227787371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (-10 - -6 - -22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in -2, -0.1, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5642055000 rounded to the nearest 1000000?\nAnswer: -5642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q. Let b(a) = 5*a + 2. Give d(b(v)).\nAnswer: -30*v - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91915120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1121.5566 months?\nAnswer: 0.09346305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1585 + 1579. Sort -1\/3, -2, v.\nAnswer: v, -2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1883, -7317, -16373, -29051, -45351?\nAnswer: -65273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1008.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2582*c + 7. List the prime factors of j(1).\nAnswer: 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -75*k - 1721. Let v(r) = -r**2 + 6*r + 6. Let g be v(9). Let i = 36 + g. Calculate the remainder when i is divided by x(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 9*x - 1. Determine w(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d - 8. Let a(u) = 16*u - 18. Let f(n) = 4*a(n) - 9*x(n). Let p(h) = 1. Let j(v) = -2*v**2 + 403. Let z(q) = -j(q) + 2*p(q). Give z(f(c)).\nAnswer: 2*c**2 - 401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -14599?\nAnswer: -2\/14599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 10 - (10 - 24 - -16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2. Let i(x) = -x**3 - 5*x**2 - x + 1. Suppose 33 = -8*a - 7. Let y be i(a). Let p(z) = z - 8*z - y*z. What is s(p(g))?\nAnswer: 338*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 23*y - 3*y)*(-2 + 2 + 2*y + (4*y - 2*y - 3*y)*(2 + 1 - 2)) as x*y**2 + j*y + f and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6060812414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {l: 10, g: 1, m: 2, u: 4}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400085)\/(-14175) - 29) + 4\/5?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (sqrt(22) - 1*sqrt(1078)) + sqrt(220)\/(sqrt(10)*1))\/(((-1*sqrt(132))\/sqrt(11))\/(-1*sqrt(294))).\nAnswer: -28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 54\/(-16) - -1. Let u(i) = i + 23. Let o be u(-13). Let k be ((-4)\/20)\/((-26)\/o). Sort 4, 0.3, k, f in increasing order.\nAnswer: f, k, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-15)*(-70)\/4. Suppose 4*b = 2*z - z + s, 13 = -2*z + 5*b. Suppose 27 = z*r - 3*r. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.142+7.4\nAnswer: 6.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 7*n - 6. Let r be q(-4). Let t(f) = f - 12. Let s(h) = h - 13. Let w(y) = 4*s(y) - 5*t(y). Let i be w(r). Solve 2*p + 8 = -i*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 - 14173390*w - 10044249204605 = 0. Calculate w.\nAnswer: -1417339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**2 + 88*x - 540 = 0?\nAnswer: -27, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -13 + 3 + -20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13375014?\nAnswer: 2, 3, 2229169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 0*p + 5*p - 180493.\nAnswer: 2*p - 180493","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:06 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**3 - 29*q**3 + 48*q**3.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 442195.3 rounded to the nearest 1000?\nAnswer: 442000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37596 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 0.1908428?\nAnswer: 5.1908428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3492.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6034*i - 500810. Give g(83).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 167*f**2 - 6163*f + 800. Give a(112).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/20*40\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1580 is divided by 56?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 702\/(-24)*104\/(-1170)*9\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/57321 - 1089089\/286605. What is the biggest value in p, -90, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = 6, -3*z + 5*m = -6201. Let y = -839 + z. Let b = y + -678. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -0.054239648, -0.5.\nAnswer: -3, -0.5, -0.054239648, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14525237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16063, 16027, 15959, 15853, 15703?\nAnswer: 15503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 19 - (11 + -8 + 26 + -15)) + 87.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -122. Let l(h) = -24*h + 99. Let g be l(7). Let k = o - g. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 23 = g + z, 3*g + 18 = -2*z. Let v be (-10)\/g*18\/15. Solve -3*b - 3*u = -v, 5*u = -21 + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r + 2*i - 1267, -2*r + 3*i = -849. Calculate the remainder when r is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/12 and ((-690)\/16)\/((-202878)\/(-312)).\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2198, 2199, 2200, 2201, 2202, 2203?\nAnswer: 2204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408028837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -133640 to the nearest one thousand.\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83573427*r**4 + 1163*r + 26342 wrt r?\nAnswer: -1002881124*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-284)\/(-1278))\/(2\/12)*(-27)\/(-8).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/780 and -47\/1940.\nAnswer: 75660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 9*g + 2. Let d be 0 + -3 - (-3 - 9). Let u be m(d). Which is the biggest value? (a) -5 (b) u (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 11*i + 4. Let w be y(-5). Let v(s) = s + 28. Let k be v(w). What is d in 1\/3*d**k + 0 - 2\/3*d = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1990 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 10:57 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4) + 114\/252*-3\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y. Let f(x) = x**3 - 3*x**2 - 4. Let j be f(3). Let a be (-5 - j)*-4 + -2. Give w(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 0.4. Let v = 0.3 - k. Let a = v - 0.4999974. What is a rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1550?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(870\/116)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6732\/5 + 1347. Determine d so that -t*d - 3\/5*d**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -39*u**2 + 13. Let i(t) = 10*t**2 - 3. What is -18*i(m) - 4*x(m)?\nAnswer: -24*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + h = 13, h + 2 = -5*m + 39. Suppose m*a - 3*a = 32*a. Sort -4, a, 41, 5 in increasing order.\nAnswer: -4, a, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 17. Let z = g + 8. Suppose -4*s = -3*s + z. Sort -3, 1, s in increasing order.\nAnswer: s, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**3 + 8*c**2 - 8*c - 14. Let s be u(2). Calculate the greatest common divisor of s and 21042.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-20) + (-86)\/(-8). Solve -5*h - s = -2*z, -5*z + 22 + 3 = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448305 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 22*z = -8. Solve -4*h = -z*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*v**2 + 57 - 57)*(-27*v**3 - v**2 + 32 - 32).\nAnswer: -891*v**5 - 33*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {h: 2, p: 1, n: 2, e: 3, r: 2, b: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from {x: 3, s: 1, e: 3, h: 1, m: 2, p: 5}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -14*v**3 + 2*v**2 + v. Let n be c(-1). Let w(l) = 9*l - 67. Does 68 divide w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -310, -5, 41 in decreasing order.\nAnswer: 41, -5, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 555163 by -3.\nAnswer: -555163\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + v - v)*(-12646*v**3 - 4841*v**3 - 3695*v**3 - 6632*v**3 + 5335*v**3) to b*v**4 + p*v + z + l*v**3 + s*v**2 and give b.\nAnswer: -44958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukxzugl. What is prob of sequence gux?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (14 - (16 - 8)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/60 + 499*i**4\/8 + 2914*i**3\/3 + 185*i**2 + 5*i + 2. Differentiate v(g) with respect to g.\nAnswer: -6*g**2 + 1497","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - b**3 + 3*b + 6*b**2 + 5 - 2 + 2*b**2 - 9*b**2. Let s(r) be the third derivative of r**4\/12 + r**3\/3 - 3*r**2. Let f be s(-2). Determine j(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -39. Let j = -23 - a. Suppose 2*x = -4*i + 15 + j, 0 = 5*i - 5*x - 20. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (5 + -4 + (-2 - 1 - 2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + -290 - -4)\/(-1). Suppose -293*v + j*v = 4. Let q(w) = -w**3 + 4*w**2 - 2*w - 1. Let z(d) = -3*d**3 + 9*d**2 - 5*d - 2. Calculate v*z(f) + 5*q(f).\nAnswer: f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5726 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g**2 - 1762*g + 93737. Determine p(-219).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -22 - (-7 - -9)\/((-4)\/2). Which is the second smallest value? (a) 4\/3 (b) 3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v + 78*v - 225 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44538647, -89077280, -133615913, -178154546, -222693179?\nAnswer: -267231812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 4030530.\nAnswer: -4\/2015265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 - -52. Let w = k + 77.9. What is the second biggest value in 9\/5, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -103028, -206058, -309086, -412112?\n\"Answer: w**2 - 103033*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 3*l**2 + l + 3. Let u be d(0). Let n(k) = -2*k**2 + 2. Let h(b) = 2*b**2 - 2. Calculate u*n(z) + 2*h(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27*(-4)\/36)\/(((-81)\/(-14))\/(-3)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 8. Let s(u) = u**3 + 7*u**2 + 4*u + 1. What are the prime factors of s(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.04 - 0.04. Which is the fourth smallest value? (a) 4 (b) 12 (c) 2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.4, -1, -6\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -31. Suppose -3*z + 74 = 5*p, h*z + 3*p - 7 = 77. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = -6*q - 187 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6110652718 to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**4 - 25*d**2 + 1 - 63*d**2 + 8*d**3 + 0*d**3 + 33*d**2 - 34*d**2 wrt d?\nAnswer: -168*d + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 74 - 56 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -461704017084 and -2?\nAnswer: 461704017082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7400 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 81\/5 (b) 1 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 11*h**2 - 5*h + 7. Let r(u) = -u**3 - 5*u**2 + 2*u - 3. Let x(k) = -5*k + 4. Let d be x(-2). Let w(f) = d*r(f) + 6*c(f). Factor w(y).\nAnswer: -2*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -46, -23\/10, -3378\/19?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 13. Let b = -0.4 + 0. What is the third biggest value in b, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*4\/72*6. Let b(r) = 654*r**2 + 5*r + 6. What is the hundreds digit of b(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 5*x**2 + 6*x - 5. Let b = 68 - 64. Calculate d(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/18)\/(64\/16)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*m + 5*a, 25*m = 29*m - 5*a - 38. Solve -10*z = -32 + m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9461 is divided by 3965.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-560)\/(-44) + -7 - 9. What is the smallest value in -2\/9, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1650 + 1650 + 12*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3981 divide 263040594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/46 and 9\/46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 5*x**2 - 2*x - 6. Let w be z(4). Let n(s) = w*s + 1 + 9*s**2 - 5*s**2 + 12. Let a be n(6). Round a to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8458, 16914, 25370, 33826?\nAnswer: 42282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 131 - 437?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.7175899 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -4263848148537.\nAnswer: -4263848148542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from rrvrrvrrrvzrrrrrvvrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2. Let l(n) = 345*n**2 - 144*n - 61. Determine l(h(u)).\nAnswer: 345*u**4 + 144*u**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/3 - 23\/12. Let u = 2.46 + 0.14. Let q = u + -3.1. What is the biggest value in -0.03, w, q?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuk when three letters picked without replacement from {k: 1, r: 1, u: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 50676*c - 50673.\nAnswer: -3*(c - 16891)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -2. Let t(r) = -2*r + 14. Let x be t(6). Let l be 1 + 4 + -3 + x. Solve y + 5*p = -11, 0 + k = l*y - 5*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/1423, -0.7, 0, -4?\nAnswer: 2\/1423","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5644 - 5653. Sort -3, 0.5, -2.9, s.\nAnswer: s, -3, -2.9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55005785.25 to the nearest 10000.\nAnswer: -55010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*f - 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246580 divided by 20?\nAnswer: 12329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 256582840 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 913467.106831 and 1.7.\nAnswer: 913468.806831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 95314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.83335 minutes to hours.\nAnswer: 1.2472225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 1434 + 2064. What are the prime factors of f?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*w = 186298, 192*n - 188*n + w - 186262 = 0. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.2, -0.22, 0.021, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -58, -44, -30, -16, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z - 7. Let s be y(-9). Does 5 divide (-32)\/18 + 2 + s\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-345)\/730 - 3\/(-6). Is j >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvrkrbbkbrrrbvrarr. Give prob of picking 2 v and 1 b.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-253))\/(3\/(21\/(-7)))*-1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 4:27 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 + 6*k**4 + 14*k**4)*(5*k - 4*k + 4*k) + k**5 + k**5 - k**5.\nAnswer: 121*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 20913083\nAnswer: 6273924.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-1)*2529\/36. Suppose 5*v + w = 2201. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.046? (a) -2 (b) 4 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3004)\/(-3755)*70\/21\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1469485, -1469487, -1469489, -1469491, -1469493?\nAnswer: -1469495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.6 and 17.\nAnswer: -44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.4 + -21.96. What is the second smallest value in j, -0.04, -2\/15?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20420300 (base 5) to base 15\nAnswer: -355d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1979*b + 29699. Determine u(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 + 2*o**2 + o. Let b(v) = v - 3. Let n be b(3). Let h(f) = -f + 2. Let w be h(n). Let x(d) = 3 + d**2 + 0*d**2 - 3. What is w*x(k) - i(k)?\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pap. Give prob of picking 1 a and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/27*(0 - 3). Suppose 4 = y*s, -3*t = -s - 8 - 5. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000110322112 + -10?\nAnswer: -1000110322122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 6*x**2 - x - 3. Let a be d(-6). Let n(c) = 3*c + 1 + 4 + 0 - 6 - c**2. Let r be n(3). Sort r, a, -3.\nAnswer: -3, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -4. Suppose 0 = 18*p + 7*p - 9950. Let m = p - 374. Calculate the highest common factor of z and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-44)\/(-70)) - 38\/209. Suppose 0 = -15*d + 12 + z. Sort 4, d, -2 in ascending order.\nAnswer: -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -27, -59, -109, -183, -287?\n\"Answer: -h**3 - 13*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 2*p)*(-1619 + 946 - 2897)*(0 + 0 - 1).\nAnswer: 7140*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 5. Let c be l(8). Let j(o) = 2*o**2 + 30*o + 5. Let s be j(-15). Suppose c*f + s - 92 = 0. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 13. Let k be y(5). Suppose -k*h = 4*t - 1930, -2*t + 3*h = -7*t + 2410. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**4\/7 - 8*r**3\/7 + 48*r**2\/7 + 32*r\/7 - 128\/7 = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v + 3*v)*(3 + 2 - 4)*(28 + 22 + 59).\nAnswer: 218*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.012 + -0.088. Which is the nearest to -1? (a) -1.3 (b) 1\/8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0)*(-m**4 + 4*m**4 - m**4) + 0 + 0 + 2*m**5 + 52*m**5 + 64*m**5 + 47*m**5.\nAnswer: 167*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5357 bigger than -62\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.683. Let v = i - 0.017. Which is the biggest value? (a) 0.1 (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 + (7 - 3*3\/(-9)) and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 315.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 41665791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - -0.08. Let o = p + -0.2. Suppose -3 = -h + 4*r - 0, 0 = 2*r. Which is the second smallest value? (a) 4 (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/4648 and -95\/307096?\nAnswer: 178422776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**3 - 918*h**2 - 90720*h - 2851200 = 0.\nAnswer: -120, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73\/292 - (-12)\/(-80)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -21, -86, -189, -336?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11895 - -2a?\nAnswer: -11866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/34? (a) 0.1 (b) 0 (c) 3\/13 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.5685 millilitres to litres.\nAnswer: 0.8965685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294934.3 rounded to the nearest 1000?\nAnswer: 1295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 55*x - 1. Let m be g(0). Let l(p) = p**2 + p - 1. Let z(u) = -5*u**2 - 35*u + 3. What is m*z(k) - 4*l(k)?\nAnswer: k**2 + 31*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) -5\/3 (c) -1.54 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (0 + 0))*0 + -9. Let v(r) = 2*r**2 + 17*r + 58. List the prime factors of v(s).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*t - t = 10, -3*t = 2*i + 9. Suppose 0 = -i*h + 7*h - 464. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 4*p**2 - 7. Let r be c(5). Suppose 10*b - 13*b - 18 = 0. Let g be (b\/(-8))\/((-2)\/(-528)). Calculate the highest common divisor of r and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 46 = -2*u. Let n = u - -67. Suppose 3*j - n = 6. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 579 divided by 714213\nAnswer: 193\/238071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 369290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 23\/12*y**4 + 0*y**3 + 21\/2*y**2 + 0 + 33*y. What is the first derivative of m(p) wrt p?\nAnswer: 46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w - 41*w - 143*w = -12862 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -a - 3 + 21, k - 3 = -a. Let r be (6 + 4)\/5 + a. Solve b + r*b + 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-21))\/(6\/21) - -423. Suppose -65 = -c + 3*n, -4*n = -5*c - 57 + p. What are the prime factors of c?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43\/43*(0\/1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6061297 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-3)\/(-2) + 1. Let v be 2*((-1 - n) + 15\/(-10)). List the prime factors of (v + 25\/15)*174.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 11996 = 29*f. Find the third derivative of -28*g**4 + 2999 + 40*g**2 - f wrt g.\nAnswer: -672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 51138, -3, -4 in descending order.\nAnswer: 51138, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4041 - 4209 = 0. Calculate the highest common factor of 4494 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 466*l**2 + 36314*l + 26. Determine b(-68).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72226 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -370906, -370840, -370724, -370552, -370318, -370016, -369640?\n\"Answer: u**3 + 19*u**2 + 2*u - 370928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11585.9 and -9.3.\nAnswer: -107748.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 649063?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 2:04 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15171391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -18*f**2 + 145*f - 5. Calculate m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1438\/1077 - 2\/1077. Which is the closest to 0.1? (a) u (b) 3 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -61. Let i = l + 76. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 332 = -4*t. Let u be (1312\/3936)\/(-2*(-1)\/1998). Do u and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.036, -23\/217, 1, -2\/21 in descending order.\nAnswer: 1, -0.036, -2\/21, -23\/217, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13283, -53123, -119521, -212477?\n\"Answer: -13279*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -44. Let x = -109.5 + 109. Which is the closest to p? (a) x (b) 3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*c + 0*c**2 + c**4 + c + 2*c**2 + 2*c - 3*c**3 as y*c**4 + m*c**3 + p + g*c + r*c**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.328 from 0.067046.\nAnswer: -0.260954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -65915.7817 and -1.\nAnswer: -65916.7817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/63 and 38\/35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 + -2) - 4 - (18 - -4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118964941 is divided by 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 85652.\nAnswer: 0, 4, 85652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, -12\/29, -0.2, -3\/8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*l**3 - l**2 + 7*l?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 15*i - 10. Let r = 15 + -10. Let v(h) = -5*h**2 + 15*h + 10. Let f(q) = r*v(q) + 6*u(q). Let d be f(-14). Solve 0 = -d*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 1. Let w = -1.4 + y. Let j be 1\/2 - (-2)\/(-5). Put -2, j, w in decreasing order.\nAnswer: j, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/2, 6.8, -4\/9, -5, 10\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*-3 - -14. Let z be 2\/8 + i\/4. Suppose -5*m - z*v = -2*v - 206, -v + 43 = m. What is the greatest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 10, z: 2}. What is prob of sequence ffb?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 577 + -329. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21834167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 7\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/200 - f**5\/10 + 13*f**4\/10 - 28*f**3\/5 + 11*f**2 - 34*f. Factor h(y).\nAnswer: -3*(y - 2)**2*(y + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6*y - y + 17, -5*v - 4*y = 21. Let j = 2 + v. Is j equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**2 + 6*x + 16. Let f(z) = 2*z**3 + 11*z**2 + 8*z + 10. Let o be f(-5). Let g be s(o). Let q = 438 + g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -4*sqrt(28)\/sqrt(4))**2 - ((sqrt(7) - (sqrt(112) - sqrt(7))) + sqrt(7))*1.\nAnswer: sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*j + 26*j - 38*j)*(-3*j + 4*j - 5*j).\nAnswer: 276*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**3)\/s*s*s**(-2\/15))**33 assuming s is positive.\nAnswer: s**(-352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11455*m. Let y(v) = -4423*v**2 - 2*v + 4425*v**2 + 2*v. What is y(k(f))?\nAnswer: 262434050*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/sqrt(3)*3*2*-5)\/((sqrt(132)*2)\/(sqrt(11) + 1*sqrt(33)\/sqrt(3))))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000332 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6126399 divided by 3527\nAnswer: -1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303277291, 303277288, 303277285?\nAnswer: 303277282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/33*((-6)\/(-33) - (-403)\/(-1430)).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 e when three letters picked without replacement from {c: 4, x: 9, r: 2, e: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/130075 and -97\/484?\nAnswer: 520300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 5*z + 9. Let m be k(9). Let t be ((-31)\/2)\/(3\/6). Let w = m - t. Solve 2 - 22 = w*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 10, 261, 47, 1, 5 in ascending order.\nAnswer: -3, 1, 3, 5, 10, 47, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -10, -3, -0.5, 84, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259522 < 1259523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1519755\nAnswer: 7598775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100929 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + r + 21 = 4*g, 0 = -3*g - 3*r + 21. Let n(o) = 12570 - 12570 - g*o. Let k(w) = 7*w. Give n(k(b)).\nAnswer: -49*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -7 (b) -1\/40 (c) 718\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31332 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 79*a**2 - 33*a + 136. Let j(c) = c**3 + c + 1. Let s(d) = 3*j(d) - n(d). Let u be s(-39). Put -2, u, 16 in ascending order.\nAnswer: u, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8701.\nAnswer: 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 465*u. Let m(c) = -7*c. Let j(v) = -135*m(v) - 2*w(v). Let y(g) = 9*g**2. What is j(y(a))?\nAnswer: 135*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 229*h - 5651. What is f(29)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152.6 - 140. Let n = x + -13. What is the closest to n in 4\/5, 5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -17. Suppose 3*m + 5*y - 8 = 0, -w*m + m + 4 = y. What is the units digit of 12\/(3 + m) - -42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8. Let u(i) = -i**2 - 17. What is -3*u(s) - 7*w(s)?\nAnswer: 3*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 5, 7, 20.9, 5\/2, -2 in descending order.\nAnswer: 20.9, 7, 5, 5\/2, 4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 78680, 157364, 236048?\n\"Answer: 78684*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -948279.64 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18787, -37529, -56271?\n\"Answer: -18742*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 32, -75, -328, -775, -1464, -2443?\n\"Answer: -8*o**3 - o**2 + 50*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -223233211 (base 4) in base 13?\nAnswer: -63727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 1 - 1 + 0 + 0 + (-1 + 2 + 1)*(-5 + 5 - 1))*(x + 0*x + 0*x)*(1 - 2 - 6)*(70 + 58 - 51) to the form w*x + a and give w.\nAnswer: 2695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**4\/4 - 2*u**3 + 3*u**2\/2 - 2*u - 14. Let m be y(5). Let n = -19 - m. Is -9 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 11:24 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let a(c) = -3 + 7 + 7*c**3 + c**2 - w*c**3 - 3 + 2*c. Let s(h) = h**3 - 9*h**2 + 9*h - 9. Let f be s(8). What is a(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:01 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -13*x**6\/12 - x**5\/30 - 122*x**3\/3 + x**2 + 201. What is the first derivative of v(z) wrt z?\nAnswer: -390*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-81)\/(-18))*(-2)\/15. Which is the second biggest value? (a) -5 (b) o (c) -8\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - 7) - (846 + -825)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6270411?\nAnswer: 3, 7, 47, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z + 17015 = 0. Let x = 20267\/6 + z. Let l = -17276 - -379977\/22. Find the common denominator of l and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158736*j**3 + 79451*j**3 + 79292*j**3 - 21*j**2.\nAnswer: 7*j**3 - 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2. Let t be -1 + 7 + 1*-3. Let w(d) be the first derivative of 4*d**t - 6*d**3 + 0 + 4. Give 5*r(z) + w(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = -4. Let t(u) be the third derivative of 5*u**4\/24 + u**3\/6 + u**2. Is t(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 3*n**2 + 12*n**2 - 7*n**2 + 5*n**3 - 3*n**2.\nAnswer: 5*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-72))\/(72\/270)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 13648?\nAnswer: 27296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 120005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/322233 (b) 3 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26615.4 - 26615. Which is the third biggest value? (a) 87 (b) t (c) 2\/19 (d) -2\/9 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(58\/(-522))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 10 = 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2376790521 to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4297*y**2 + 829*y**2 + y - 927*y**2 - 2*y as z + p*y**2 + c*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and 3.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 2*q. Let a be i(-2). Suppose -k + 4*k - 36 = 0. Suppose 2*d = x - 0*x - k, a*d + 66 = 5*x. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166 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 261933 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/3072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -3 (b) -19314 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(5)*-3 - sqrt(30))\/sqrt(10) - (((sqrt(60)\/sqrt(4))\/sqrt(5))**2 + 1 + sqrt(108)).\nAnswer: -10*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 11:05 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, -126, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -57, -2, -7, 3 in descending order.\nAnswer: 3, -1, -2, -7, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584\/7944*-10 + (-7)\/(-6) + (-85)\/(-102)?\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1217323 by -5.\nAnswer: 1217323\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 + (-117)\/12. Let g = 14 + b. Suppose -2*t + 16 = g*w, -5*t + 8 = -0*w + 2*w. Solve 4*o + o + 25 = t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a04 (base 12) to base 13.\nAnswer: -871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29914 times 970?\nAnswer: -29016580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.6 - -18. Suppose 2*s - 12 = 5*y, y = 5*y + s + 7. Which is the third smallest value? (a) v (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/20 - 13*r**3\/6 - 11*r**2\/2 - 14*r + 21. Calculate z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/14 - 3434296\/(-791).\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2*r**3 + 2*r**2 - 2*r\/3 - 14. Suppose f(i) = 0. Calculate i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/24)\/((-5)\/60)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:27 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10 + 108 - 3*x + 13 + 164*x. Let o(u) = 108*u + 74. Let j(k) = -5*i(k) + 7*o(k). Find the first derivative of j(t) wrt t.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, 3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.5184881s?\nAnswer: 518488.1","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26835 and 960?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 190727, 381452, 572177?\n\"Answer: 190725*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2 + 2 + 2*k. Let u(z) be the second derivative of 0*z**2 + 0 + 1\/6*z**3 - 3*z. What is u(b(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d + 6. Let c(w) = 5*w + 5 + 0*w - w + 2*w. Let s(o) = -5*c(o) + 4*k(o). Give s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1340042984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88057032 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m - 2*x, -4*m + 4*x + 18 = -2. Let t be (-160*(4 + -2))\/(m\/(-220)). What is t rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-95)\/((-60)\/(-35)*7)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w - 38. Let t = 1 + 0. Let v(n) = 8*n**3 + n. Calculate the remainder when z(7) is divided by v(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19753058?\nAnswer: 2, 13, 58441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 26*t - 31*t - 3*j + 1, -4*t - 12 = 4*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 609*j**2 - 120*j**2 - 1676*j**2 as z + o*j + r*j**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-27)\/b*b**(-27)*b)**(45\/7) assuming b is positive.\nAnswer: b**(-2430\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7 - 7*t**2 - 13*t**3 + 12*t**3 - t + t**2 + 9*t. Let o be h(-7). Let d = 1460\/9 + -162. What is the nearest to -2\/7 in o, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - 2*t**4 + 0*t**4)*(7*t - 2*t - 3*t - 6*t + 0*t + 4*t + (-4 + 5 + 0)*(-2*t - 4*t + 4*t) - 16*t + 25*t + 13*t).\nAnswer: -20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11287097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -50*(-356)\/(-13350)*402\/8\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 12*m**2 - 11*m - 17. Is p(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w = -3*y - 20, -4*w = 4*y + 20. Let s be (w - -3)*(-20)\/8. Solve g - 11 = 2*i, 4*g - 11 = s*i + 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = 87 + 13 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -0*j - 147. Calculate the remainder when 79 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 3:27 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2*x**(1\/8)*(x\/(x*x\/(x\/(x\/(x**(-5)\/x)))))**(-10\/9) assuming x is positive.\nAnswer: x**(713\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2, -y = -2*u - 3*u - 4. What are the prime factors of (42\/(-4))\/(y\/(-132))?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/20 and 57\/124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 27. Let h(n) = 59*n - 10. Let k(w) = 2*h(w) + 2*p(w). Let v be 1*4*18\/8. Is k(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 13*j - 14. Let h be l(11). Which is the closest to 0.03? (a) 0.4 (b) h (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10389.\nAnswer: 3, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29911838?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-114)\/(-27) - (-50)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568361.\nAnswer: 3, 522787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*y**5 + 5470*y**3 + 6*y**2 - 1591528*y?\nAnswer: 900*y**3 + 32820*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24389 divided by -27.\nAnswer: -24389\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -2 - (392 - 387)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10502837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t + 30. Let w be (-1)\/((-3)\/t*-1). Solve -2 = 5*p + d - w*d, 4*p = -2*d + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:26 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6360753?\nAnswer: 3, 7, 499, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.2. Suppose 4*h = 5 + 3. Let s(n) = -2*n - 3. Let l be s(-3). Which is the nearest to h? (a) 0 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:56 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 2:31 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -2*v**2 - 7*v - 1 + 5\/3*v**3. Is c(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + v + 1. Let a(p) = 2*p**2 - p - 1. Suppose -53*z = 103 + 162. What is z*a(k) - 6*o(k)?\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 + 4*g + 1. Let l be u(-3). Suppose 0 = l*s - 38*s - 10. Suppose 3*o - 320 = -s*o. Calculate the remainder when o is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 957, 4054, 9291, 16668?\n\"Answer: 1070*q**2 - 113*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*z - 33*z + 15*z**2 - 33*z - 34*z - 52*z - 14*z**2.\nAnswer: z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -80*(-7)\/(-2) + 1 + 3. Is 38 a factor of (-1)\/((-1)\/2)*(-69414)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -833.9 + 1620.5. Let o = i + -874. Round o to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpdooldkllplpdh. What is prob of sequence oh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 431\/3 + -143. Determine u so that 2\/9*u + l*u**2 - 4\/9*u**4 - 2\/9*u**3 - 2\/9 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/((9\/3)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 - 149?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a4 - -5?\nAnswer: 4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 441 = b, 188*s + 3*b = 193*s - 530. Put 0.2, s, -0.5, -0.15 in decreasing order.\nAnswer: s, 0.2, -0.15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8730 is divided by 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-2) + (-7)\/14. Let j = h - -10. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84924 divided by 21231.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**4 - 16200*g**3 - 51951006*g**2 - 103853400*g - 51918597 = 0.\nAnswer: -2259, -1, 7661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 12:39 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**2 - 2*y**2 + y**2 - 2*y**2 - 16.\nAnswer: 4*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 177227917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {g: 6, w: 1, f: 3, c: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - g - 10, 23 = -2*h - h - 4*g. Let m be 1050\/60 - ((-6)\/(-4))\/h. Let k(d) = -35*d + m*d + 17*d. Let b(o) = 54*o. Give k(b(q)).\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-4)\/((-8)\/(-6)). Let p(d) = -18*d**2 + d - 1. Let j(c) = 35*c**2 + 14*c + 11. Let b(z) = j(z) + 2*p(z). Does 6 divide b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-1 - 1 + 3) + 1 + 5 - 3 + 2 - 5 - 3)*(3 - 5 + 1)*(-t**3 + 2*t**3 + t**3).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 727139*r*s**2*u**3 + 607*r*s**2*u**2 - 10*r*s**2*u + 3*u**2 wrt u.\nAnswer: 4362834*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + (3 + -3 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*m + 2*x, -95*m - 3*x = -93*m - 3. Let y(i) be the third derivative of -1\/9*i**4 - 14*i**2 + m*i - 8\/9*i**3 + 0 - 1\/180*i**5. Factor y(s).\nAnswer: -(s + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2864, 3, 7 in descending order.\nAnswer: 2864, 7, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 9*x + 15. Calculate m(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-80)*149\/(-298)*30\/9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 23929*q + 502345. What is u(-21)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3, 333612, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/(29\/(-174)). Calculate the highest common divisor of 37 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-27 - -17 - (-1 - 10)) + 5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -434, -784, -1224, -1754?\nAnswer: -2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 1767*h**2\/4 - 6684555*h\/4 - 11349\/2 = 0?\nAnswer: -2\/589, 3783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 262 - 192. Let r = 9 - -30. Let s = r - 25. What is the highest common divisor of i and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (-24 - -17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 642 = -2148. Calculate the greatest common factor of f and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030187926 to 7 dps.\nAnswer: -0.0003019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 2*x**2 + 3*x + 1. Let n be u(3). Let q be 1\/n*(-12)\/20. Which is the smallest value? (a) -0.1 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55744, 446830, 1508356, 3575542, 6983608, 12067774?\nAnswer: 19163260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 g, and 1 n when four letters picked without replacement from cfnggjfgfc.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, u: 2, p: 1, y: 8, a: 2}. What is prob of sequence yyau?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (1 + 0)\/((-3945)\/(-1314) + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 18*q**7\/7 - q**4\/2 - 2*q**3\/3 + 46*q - 30. What is the third derivative of o(l) wrt l?\nAnswer: 2160*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 3. Let n be g(-8). Let d = 2.1 + -4.1. Which is the biggest value? (a) d (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) + sqrt(153)*-2)*-3 + 1*sqrt(153)*1)\/(sqrt(36)\/(sqrt(144) - (sqrt(144) - sqrt(144)*-2 - sqrt(144)))).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 10 = 2*a. Let c = a - -8. Suppose c*k - 1484 = -4*b - 2*k, 3*b + 5*k = 1113. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + -5 + 0 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 12*g**2 - 25*g + 33. Calculate n(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 92*k**2 - 1118*k - 551. What is t(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77980 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**21\/r)*(r*(r*r**(-28))\/r)\/r assuming r is positive.\nAnswer: r**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 10*k**2 + 11*k - 1. Let l be a(11). Let b be (196\/70)\/(l\/(-5)). Find c, given that 6*c**2 - c**4 - b + 8*c + 11 + 6 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 20*b**3 - 72*b**3 - 2 - 19*b**3 - 52*b**3 + 2*b. Let r be g(2). Let d = r + 1799. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*j**2 - 180*j + 472*j**2 + 315*j + 591*j**2 + 201*j wrt j.\nAnswer: 2534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**6\/4 + 279*t**5\/10 - 6885*t**4\/8 + 6071*t**3\/2 + 270*t**2 - 12150*t + 12850. Suppose i(l) = 0. What is l?\nAnswer: -1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 240. Suppose -5*g + 83 = 3*z - 0*z, 4*g - 4*z - q = 0. Let h be 294\/18 - 1\/3. Calculate the greatest common divisor of h and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wggw. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2076*y + 5175 = -2301*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 437 and 0.2454549.\nAnswer: 107.2637913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 78*i - 981. Suppose -5*j + 2*j - c = -296, 2*j = -c + 199. Calculate the remainder when j is divided by h(13).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -9*j + 126. Suppose 12 = -j*b + 12. Solve -4*z - p - 3 = b, -2*z + 4*z - 1 = -p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, j: 4}. What is prob of sequence jjji?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*w**5 - 6875*w**4 - 751115*w**3 - 27479445*w**2 - 10217660*w + 5180116 = 0. What is w?\nAnswer: -109, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.3, 0.19, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*n + 4*a - 13, 4*a = -n + 11. Let z(w) = 1 - 5*w - 3 - 2*w. Let m be (70\/21)\/((-2)\/(-3)). Let b(i) = -i. What is m*b(r) + n*z(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.482 - 321.41.\nAnswer: -320.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -10) + (0 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 457 = -3*a + 951, -5*m - 1403 = 2*a. Let i = -285 - m. Let t = -0.1 + 0.3. What is the closest to 1\/3 in -4\/7, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3 + 19. Let v = -4 + o. Let l(p) = -9*p + v*p**2 + 2*p + p**2 + 3. Give l(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144401 (base 5) to base 12\nAnswer: 372a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -82*o**2 + o. Let l(i) = -47*i. Give l(c(v)).\nAnswer: 3854*v**2 - 47*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 592725 and 3000?\nAnswer: 23709000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(330) - -2*sqrt(330)))\/(-3*sqrt(384) - sqrt(384)))\/((sqrt(180) + 3*sqrt(180) + (sqrt(405) - (sqrt(405) + sqrt(405)*1 - sqrt(405))))*2).\nAnswer: 3*sqrt(11)\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/3 - 19*s**2\/2 + 3*s. Find the first derivative of w(q) wrt q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 19*c**2 - 6. Let z(a) = 15*a. What is u(z(i))?\nAnswer: 4275*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/58815 and 55\/333.\nAnswer: 2176155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 10*r - 11. What is x(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l - 1. Let p be g(-2). Let x = 1921 + -1912. Suppose -v = x - p. Calculate the least common multiple of 18 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-six fifths of a millennium?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k - 56*k + 15*k)*(1 + 3 - 3)*(2*k - k - 2*k).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqj when three letters picked without replacement from mhumhhqdmhmj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 4 = -28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0*r**4 - 7*r**2 - 4 + 0*r**3 - 8\/15*r**5 + 0*r. Let x(h) = 4*h. Give x(u(q)).\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from fffwsffwffsfsffs.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -678*p - 203646. Give a(-299).\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -207, 5.\nAnswer: -207, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 + 141. Calculate the highest common factor of 84 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32280 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k + 9. Let s(u) = -u - 2. Let j(w) be the third derivative of -w**4\/24 - w**3\/3 - 12*w**2. Let x(l) = k*j(l) + 2*s(l). What is x(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20249 divided by 17297.\nAnswer: 20249\/17297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -929, -3740, -8425, -14984?\n\"Answer: -937*j**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 943523 to the power of 1\/2, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3798 and 4449990.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200*f - 2626 = -1301*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-10))\/((-8)\/1640). Let v = -4 + p. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(425) + 1*sqrt(153) + sqrt(153).\nAnswer: 5 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (-1 + sqrt(72))*-5 + sqrt(72) - sqrt(72))**2 + -4 + (sqrt(8) + -5 - sqrt(24)\/(sqrt(12) - (sqrt(300) - sqrt(12)))))*-4.\nAnswer: -4672 + 2852*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t**5 + 117*t**4 + 13062*t**3 + 19377*t**2 + 6438*t = 0.\nAnswer: -37, -1, -1\/2, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 g when three letters picked without replacement from {q: 2, m: 2, b: 3, u: 6, g: 1, p: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -661 + 661.09. Sort t, -1, 1\/2, -0.4 in ascending order.\nAnswer: -1, -0.4, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3 - 93*a**2 + 252*a = 0. What is a?\nAnswer: 0, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 14 = 13*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4 - 4. Let f = 5 - 1. Suppose -2*g + f = -0*g. Solve -20 = i*s + g*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*l - l + 8, 4 = -d - 2*l. Calculate the greatest common factor of d and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -4.9. Let d = m + -1. Let n be (-2)\/11 - 12\/(-33). Which is the second biggest value? (a) d (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*d + 675. Calculate the remainder when 68 is divided by (1\/5)\/(10\/d)*16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31042\/42 + ((-2750)\/210 - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67042753 plus 0.057?\nAnswer: 67042753.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:50 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5658 by -39.\nAnswer: -1886\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 11*a**2 + 29*a + 14. Let z be f(-13). Is ((-1102)\/145)\/(1\/z) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 78660882, 78660879, 78660874, 78660867, 78660858, 78660847?\n\"Answer: -y**2 + 78660883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -114640715 divided by 7\nAnswer: -16377245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3973698 and 9411390?\nAnswer: 178816410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-2))\/(-9 - -11). Solve -5*o - c = 3*h + 2, -2*h + 23 = -5*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9349 - 14*q**3 - 9351 - 332*q**3 - 2*q**2 in the form s + t*q**2 + k*q**3 + p*q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(684))*3)**2.\nAnswer: 216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42\/5 of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-40)\/(-24))\/((-2)\/((-6)\/(-13))). Is q bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -11. Let m = d - -6. What is the second smallest value in -0.1, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 102209490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from {d: 4, n: 3, a: 2, z: 4, u: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12*r - 2. Let v be a(-5). Let x(l) = -v + 58 - l. Let s(y) = -2*y**2. What is s(x(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = -3*r - 15, 0 = 5*w + 5*r + 25. Suppose q + 0*q - 64 = w. Let h be (-2 + 10)*(-4 - (-3 - 2)). Calculate the highest common divisor of h and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 97. Suppose -4*m - 18 = l*w, 3*w = w - 4. What are the prime factors of ((-99)\/(-21) + m)*7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 s when three letters picked without replacement from {z: 4, s: 2, m: 3, d: 6, i: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 16 = -2*w, 3*w - 956*x = 619*x + 6288 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 4) + (9 - (9 + -8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4452 = 2*a - 3*r, 7580 = 5*a - r - 3524. Let s = 1540 - a. Round s to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 24, 28, -3 in increasing order.\nAnswer: -3, 4, 24, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(-1)\/u*u*u)\/(u*u**(-13)))**3\/((u**(1\/8)*(u\/(u\/(u\/(u\/(u\/u**(-5))))))\/u)\/(u**(4\/3)\/(u*u**4\/u*u))) assuming u is positive.\nAnswer: u**(869\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -122 (b) 3 (c) -7\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 3:18 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*-10*(-1)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 3, c: 3}. What is prob of sequence tc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -36*(2\/(-4) - 0). Let s = -13 + o. Solve 1 = g - p, s*g + 19 = -3*p - 0*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 18*w - 19*w = -9, -4*z - 5*w + 3 = 0. Which is the nearest to 0.2? (a) 0.5 (b) -1\/5 (c) z (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 29131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from {q: 5, g: 13}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/3, -1\/9, -163?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (46 + -30) - 2\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2733224.\nAnswer: -13666120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 21. Let a = 11 - z. Let p = -6 - a. Which is smaller: p or 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*v = 241*v - 684. Let g(n) = -n**3 - 6*n**2 + 5*n + 11. Let q(b) = -2*b**3 - 13*b**2 + 11*b + 23. Determine v*q(t) - 13*g(t).\nAnswer: t**3 + t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times -15527.72\nAnswer: 1708.0492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31240434 - 2?\nAnswer: -31240441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 86\/(-18) + ((-6)\/27 - 0). Let c(f) = -f**2 + 1. Let s(m) = -2*m**2 - 18*m + 29. Let i(h) = x*c(h) + s(h). What is n in i(n) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3666262?\nAnswer: 2, 1833131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 84650232 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - -a9?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + 45*m = -114 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31345509 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 0 + 0 - (864 - 841).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 14\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 29. Let m(s) = -7*s - 1. Let h be m(-1). Suppose -h = -a + 56. Calculate the least common multiple of k(11) and a.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4\/5 - 3456*d**3\/5 + 419796*d**2\/5 - 13825944*d\/5.\nAnswer: 4*d*(d - 726)*(d - 69)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46, -100, -154?\n\"Answer: -54*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.05, -4, 2\/19 in descending order.\nAnswer: 2\/19, -0.05, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12210202 (base 3) to base 2.\nAnswer: -1000010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*x = -7*h - 21, 2*h - 5*x - 21 = 0. Let k be h\/9 - 58\/(-18). Put k, -2, -5 in ascending order.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195178928 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3387382?\nAnswer: 2, 1693691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/51 and 56\/65745?\nAnswer: 1117665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d - 80. Let l = d - 12. Is l + 2\/2 + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 - 15 = -3*q, 2*q - 6 = 0. Suppose t - 4*y = 1 + 5, z*t + 2*y = -38. Let i be 6\/35 - ((-24)\/t)\/(-6). Sort i, 4\/5, -1\/5.\nAnswer: -1\/5, i, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15784 is divided by 3148.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1136209.8074 - 463692.16. Let t = c - -1599513. Let o = 389 + t. Round o to 3 decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426261858 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 4 + 8 - 12*p + 10*p.\nAnswer: -2*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*x - 21, 4*x + 3*l + l = -24. Suppose -v + 2*d - 6*d = -26, -91 = -2*v + 5*d. Sort v, -2, 0, x.\nAnswer: x, -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/((-504)\/(-27)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 70.889319 microseconds?\nAnswer: 0.0000000196914775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkggkgggkg. What is prob of picking 3 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -405*n + 413*n. Let x(i) = -i**3 - 2*i**2 + 2*i + 4. Let f(p) = -p**3 - 3*p**2 + 3*p + 4. Calculate n*x(t) - 2*f(t).\nAnswer: -t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19764817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 12, -5*c - 4962*h + 4959*h = -339481. List the prime factors of c.\nAnswer: 2, 17, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7299 - 1.8299. Is -7.604 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -14*u**2 - 100*u - 16. Let a be c(-7). What is the nearest to -1 in 0.1, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 19*a**2 - 13*a - 17. What is the units digit of h(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**2 - c + c)*(-4 + 2*c**2 + 4) + 5*c**4 + 0 - c**4 - 1 as u*c**4 + y*c**2 + g*c + v*c**3 + q and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, 7 in ascending order.\nAnswer: -16, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 10*c**2 - 2*c**2 + 4*c**2 + 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 20 = 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 4. Let t be z(-2). Let g be (-8 - t)*1\/(-2). Solve 3*p + g + 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -388 + 2?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (5\/(-10))\/(2\/(-44))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = -7. Find the third derivative of -2*z**5 + z**4 - z**y - 2*z**2 + 0*z**2 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -422*o**2*z**3 - 4*o**2 + 2*o*z**3 - 2*o*z**2 - 2*o - 10*z wrt o.\nAnswer: -844*z**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 26. Let l(j) = -2*j + 2. Let c(i) = -i**2 + 3*i - 3. Let d(p) = o*c(p) + 3*l(p). Determine y so that d(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68338?\nAnswer: 2, 47, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1129008 and 6?\nAnswer: 1129008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3094 - 3135 - (1 + -29)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q. Let s(f) = 356753*f. What is s(r(c))?\nAnswer: 713506*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20874, -3\/7, -3\/5 in descending order.\nAnswer: 20874, -3\/7, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 9*m**2 + 8*m + 2. Let h be t(-8). What is the third derivative of a**2 - 2*a**5 - 4*a**2 + 2*a - h*a wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3))**0)**(-49)\/(((i*i*(i**(-2)*i)\/i)\/i)**(1\/20)\/(i**(2\/3))**(-24)) assuming i is positive.\nAnswer: i**(-319\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2001440 + 2011134.815. Let p = 9702.814942 - l. Let a = -8 + p. What is a rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-11))**(-33)\/((o*o*o**2)\/(o\/(o*o*o**20*o))) assuming o is positive.\nAnswer: o**337","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.410644 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 106?\nAnswer: 9\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 2425657 and 2425654 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -462, 5 in ascending order.\nAnswer: -462, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -g - 17, 3*c - 14*g + 9*g - 1 = 0. Let r be 3 + -3 + (-1)\/2. Let j be (0 + 0)\/1 + 3. Sort j, c, r in descending order.\nAnswer: j, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 2. Let n be t(-6). Suppose 4*o = 2*o + n. Let i = o + 3. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38651 (base 16) to base 10\nAnswer: -230993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1980 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3.9. Let r = -0.16 - -4.06. Let b = r + v. Which is bigger: -1\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0093364663 rounded to 5 decimal places?\nAnswer: 0.00934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1679?\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 6*z - 12. Let y(f) = -2*f**2 + 5*f - 12. What is -5*k(s) + 6*y(s)?\nAnswer: -2*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q - 6. Calculate the least common multiple of (-8)\/12 - (-415)\/15 and g(-3).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103.7 + -103.62936. Let i = 0.07 - j. Round i to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b + 1\/2*b**2 - 1\/12*b**4 + 1\/6*b**3 + 0. Let k(f) = -2*f - 1. Let l(w) = 2*h(w) + 2*k(w). Factor l(c).\nAnswer: -2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12547.\nAnswer: 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 14 - 1 + 0)*(11698 + 187*i - 11698).\nAnswer: -2805*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -64*r - 325 - 187 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**7\/u)\/(u\/u**(6\/11)))**(-1\/2)*(u*(u**(4\/5)\/u)\/u*u*(u*u\/(u\/u**(-6)))\/u)**(-33) assuming u is positive.\nAnswer: u**(18571\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -7. Suppose -t = -0*w - 2*w. Suppose 3*x - w*q - 24 = 0, 4*q + 1 = -3*x + 4. What is the remainder when 14 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3892140 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -14. Suppose 2 = s*q - 4. Let l be (-47399)\/q + 1\/(-2). Round l to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 7*c**2 - 7*c + 5. Let o be t(-8). Let q be (o\/2)\/(6\/(-8)). Suppose -q*b + 3 = -123. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9 + 1)*1)\/1. Let x(p) = p**3 + 7*p**2 - 10*p - 11. Let n be x(s). List the prime factors of ((-9)\/5)\/((-1)\/n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (201\/(-2))\/(2 + (-63)\/18) is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/29 (b) -0.3 (c) -5\/8 (d) 0.4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 3*u - 19, -u + 0 = 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1010857\/404342 + -1\/202171. Let 3\/8*j**3 - 7\/4*j**2 + b*j - 1 = 0. Calculate j.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2))**(-4\/7))**(2\/39)*(k*k*k**(-3)*k*k**(3\/4))**(-28) assuming k is positive.\nAnswer: k**(-5729\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38116 and 37804?\nAnswer: 27710332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*g + 2*x, -g - 8 = 5*x + 11. Let r(d) = 6*d**2 + 4. Let a(u) = 7*u**2 + 5. Let z(q) = g*a(q) + 5*r(q). Let p(b) = 2*b**2. Calculate z(p(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -482, 40, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 7. Determine p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -87 (c) 3 (d) 0.0343 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10035?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187706 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 + 610*b**3*t - 30*b**3 + 222317*b*t wrt b?\nAnswer: 24*b**2 + 3660*b*t - 180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, -335, 2, -53.\nAnswer: -335, -53, -2, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(-5)*j*j)))**(-46)*j**(18\/11)*j**(-16) assuming j is positive.\nAnswer: j**(854\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 89232?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01451750167 to 5 dps.\nAnswer: 0.01452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.1 - 11.09. Let w = 1 - h. Let r = 0.99 - w. Is 2 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(1*(3 - 2)). Suppose 4*c - k = 15. Solve c*z = 2*z - r + 14, -5*r = -2*z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyg when three letters picked without replacement from gyy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -14163, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.5. Let z = -0.8 + 2.8. Put f, -4\/3, z in ascending order.\nAnswer: -4\/3, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3)*1425\/(-950).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, 3, -36, -1.\nAnswer: -36, -1, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/5 - 6*i**4\/5 + 26*i**3\/5 + 22*i**2\/5 - 48*i\/5 - 8 = 0 for i.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1086502 - 1?\nAnswer: -1086503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84629.73 - 0.99?\nAnswer: 84628.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 + 5 + 5*s + 0 - 3*s**2. Let g(x) = 4*x**2 - 3*x - 3. Suppose 49*l = 480*l - 4310. Give l*g(w) + 6*k(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105540850 and 3704?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + (-150)\/(-9))\/((-2)\/(-3)). Suppose 6*t = t - 4*f + b, 2*t - 3*f = -6. Factor -1\/5*d**4 + 0 + 0*d + 0*d**2 + 0*d**t.\nAnswer: -d**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 35*o**2 - 75*o - 46. Calculate u(-37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 8*k + 15. Suppose -s + 3439997 = -k*v, -1 = -0*v - v. Round s to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28, -56, -84, -112, -140?\n\"Answer: -28*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/259?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/159, 2\/9, -3\/5, -0.5 in descending order.\nAnswer: 2\/9, -1\/159, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891982097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.4 + -48. Let u be (-2 + (1 - 0))*-2. Let k = 323\/5 + -65. Which is the biggest value? (a) k (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 8. Let y be s(10). Let l be y - -1 - (-6 - -2). Suppose l*j + j = 20. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 6\/7*n**4 - 102\/7*n**2 + 124\/7*n - 2\/7*n**5 - 48\/7 + 22\/7*n**3 = 0.\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11425)\/(-300) - 40)*(2 + 2) - -5*1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 8*s - 8. Let o be t(7). Let g = -176 + o. Let y = -46 - g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2397 and 141.\nAnswer: 2397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21636, 43337, 65138, 87045, 109064, 131201, 153462?\n\"Answer: h**3 + 44*h**2 + 21562*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -76. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m**3 + 5*m**2 - 2*m - 4. Let t(p) = -13*p**3 + 11*p**2 - 3*p - 9. What is -7*g(y) + 3*t(y)?\nAnswer: 3*y**3 - 2*y**2 + 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Suppose -u*j + 10 + 10 = c, 2*j = 2*c + 8. What is the derivative of c - 2*z**2 - 3 + 1 wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**6 + 69*j**5 - 114*j**3 + 51*j**2 - 8*j + 7.\nAnswer: 120*j**3 + 4140*j**2 - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, x: 9, c: 5, d: 1}. Give prob of picking 2 c.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.59 - -0.01. Let z = i - 0.6. Which is the nearest to z? (a) -5 (b) -4\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 2812?\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3144, -3143, -3144, -3147, -3152, -3159?\nAnswer: -3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1273, -1400, -1527, -1654?\n\"Answer: -127*o - 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 - 388283*y\/6 + 194140.\nAnswer: (y - 388280)*(y - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4433.2 and -171.7?\nAnswer: -761180.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(-7*c + 3*c + c) + 49166 - 49166 + 971*c + 239*c)*(-3*c**2 + 2*c**2 + 6*c**2).\nAnswer: 6035*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -253804 - -332229371\/1309. What is the common denominator of d and -29\/35?\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22163 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33321 + -23?\nAnswer: 33232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:10 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-9) + 100\/12. Let k be (-5)\/(-10*7\/84). Solve 2*z + b = k*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4677)\/360 + 13)\/(((-70)\/(-87))\/(-1)) and -127\/1200.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 8 + 5*u.\nAnswer: 5*u + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from mzo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*l - 17 + 17 + (0 - 1 + 0)*(-l - 3*l + 2*l) + (1 + 0 + 0)*(-2*l + l - l) - 4*l - 2*l + 5*l in the form g*l + x and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 914375270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8*s = 20. Suppose 4*o - 399 = -2*i + 341, 8 = -s*i. Calculate the remainder when o is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316453.4163 + 4\nAnswer: -316449.4163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1415 and 56558965.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1, -1\/9, -4 in ascending order.\nAnswer: -4, -1, -3\/5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156523 is divided by 582.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 509770954 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4\/4 + 143*q**3 + 18513*q**2\/4 + 59837*q\/2 + 11236 = 0 for q.\nAnswer: -53, -8, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8906 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (55\/(-4))\/(3\/(-24)). Suppose 2*x - 7*x + g = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -989027210 divided by -5?\nAnswer: 197805442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (18\/(-15) - 0)\/(8\/(-20)) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 6. Let s(q) = 2*q + 7. Let p(i) = 4*i**3 - 2*i**2 + 3*i - 2. Let h be p(2). Let v = h + -13. Let z = -10 + v. Determine z*l(u) + 4*s(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020131 (base 4) in base 9?\nAnswer: 6322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7256953 and 1.\nAnswer: -7256952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -75*d - d**2 + 75*d - 2 - 2. Give j(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -13. Let t be (-30)\/(-4)*(-2)\/(-3). Suppose -5 = t*u - 5*v, k*u + 8 = -4*v - 6. Is -2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 12. Suppose 54*t - 55*t = -8. Let k be z(t). Sort k, 1, 0 in descending order.\nAnswer: 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.7*-7328\nAnswer: -144361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n - 1. What is h(-9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -1\/2*h**2 + 1\/6*h**3 - h + 0. What is the remainder when 4 is divided by w(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 116.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 - 1.9. Let l = -1.1 + t. Put -2, l, -5 in increasing order.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 62. Calculate l(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 421*i**3 - 2*i**2 + 2. Let k(y) = -4212*y**3 + 21*y**2 - 21. Give -42*b(x) - 4*k(x).\nAnswer: -834*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 11. Let u(x) = -2*x - 23. Let a be (-5)\/(-10) + (-6)\/(-4). Let g(r) = a*u(r) + 5*s(r). Determine g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1360)\/112)\/((-6)\/399). Let j = -808 + r. Which is the third smallest value? (a) 2\/15 (b) -1\/3 (c) 1\/7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n*n*n**1*n))**(2\/11))**(-1\/39)\/((n**5\/n)\/((n*n**0\/n)\/n)*n**(-4)*n**6) assuming n is positive.\nAnswer: n**(-3001\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*s + 39, -5*n + 2*s + 31 + 10 = 0. Suppose -f + n*f + 48 = 0. Is f at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 1 - 9*t + 16*t - 7*t to the form o*t + y*t**2 + f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Let t = 711591 - 215611865\/303. Let d = t - 2\/101. Which is greater: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**3*r*u**2 + o**3*u**3 - 2*o**3 - 6*o*r**2*u**3 - 29*o*r**2 wrt u?\nAnswer: 6*o**3 - 36*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -50699.\nAnswer: 59\/50699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318972.\nAnswer: 2, 3, 19, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**4*z - 1279613*l*z - 3*z - 115563 with respect to l.\nAnswer: 4*l**3*z - 1279613*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6) + 5\/2. Suppose -8 = -2*w - 2*w. Suppose -w = 4*p - 3*p. Sort u, p, 5.\nAnswer: p, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.578079mm?\nAnswer: 0.6578079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 816003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*h + l - 357, -4*h = -2*l - 774. Suppose 5*s - s - 187 = p, h = 4*s + 3*p. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1365)\/(-52) - 25)*-3*(-86)\/45 and -29\/14800.\nAnswer: 44400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/13))**(-12\/11)*(f*f**(2\/5)*f)\/f**6 assuming f is positive.\nAnswer: f**(-2754\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*t + 2*t**3 + 5*t**2 + 3 + t**3 - 128*t to the form d*t**3 + i*t**2 + x*t + l and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.398613 + 0.4376052. Let o = -0.941 - -0.98. Let h = z - o. What is h rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6179, -12291, -18403?\nAnswer: -24515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 80. Let c(n) = n**3 + n**2 - 2*n + 1. Let v be c(1). Let s = 6 + v. Solve -s*m + 2*m = 3*j - 16, -k*j = -m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.384 - -0.616. Let j = -2.97 - -15.97. Put 2\/5, j, o, 1\/6 in decreasing order.\nAnswer: j, o, 2\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/16 and 73\/252.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -1100102102?\nAnswer: 1100102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 34138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -284 (base 10) to base 3\nAnswer: -101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 7*d. Suppose -88*n + 89*n - 8962 = d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 272 = r. Suppose 5*a - 2*i - r = i, 4*a + 2*i - 50 = 0. Solve d - 4*f = -d - 28, f = 2*d + a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 13*g**4\/24 + g**3\/2 + g**2 - 301*g. Determine f(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.44 - -0.56. Let b = -31 + p. Let k = -4.8 + b. Is -1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:39 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -5 - (6\/(-2))\/(-1). Let d(l) = -l**2 - 11*l - 15. Calculate the remainder when 119 is divided by d(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80051054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31244995856 take away 0.5?\nAnswer: 31244995855.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -603900, -603906, -603912, -603918, -603924?\n\"Answer: -6*l - 603894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 2e9e92?\nAnswer: 2e9e8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 greater than -6514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**6 + 101*q**3 + 4*q**2 - 8 wrt q.\nAnswer: -120*q**3 + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2. Let j(z) be the second derivative of -103*z**3 - 10*z + 2. What is l(j(k))?\nAnswer: 763848*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**7\/140 + o**6\/45 - o**3\/3 - 17*o. Let k(d) be the second derivative of h(d). What is the third derivative of k(g) wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69321550 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-15))\/((-14)\/(-21))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -4) + 16\/(-1). Let s be (8*1)\/((-5)\/(-5)). Calculate the common denominator of 53\/8 and -16 - x - 67\/s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**3\/3 + 5*x**2\/2 + 5*x - 48. Determine n(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 9. Let h be k(0). Let l = h + 11. What is the third derivative of -8*p**2 - 2*p - 4*p**5 + 6*p**2 + l*p wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1257 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8702 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: In base 16, what is -5 - e3b9?\nAnswer: -e3be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w**3 - 4*w**2 - 2*w + 2. Let q(z) = 3*z - 3 - 11*z**2 + 2*z**3 - 10*z**3 + 9*z**2 + 7*z**2 + 0*z. Calculate 2*q(j) + 3*s(j).\nAnswer: 11*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 54 = 13*i. Suppose 5*y - c - 22444 = 0, 0 = i*y - 0*c + 4*c - 13471. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -0*u + 1920. Suppose 11*p = 7*p + u. Is 16 a factor of (896\/p)\/(2\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 less than 0.4?\nAnswer: -354.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**6\/150 + 3*w**5\/50 + 2*w**4\/15 - w**3\/5 - 7*w**2\/10 - w - 89. Factor y(f).\nAnswer: -(f - 7)*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 + (48 - 89) - 62?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1\/2, 8 in descending order.\nAnswer: 8, 1\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 12*n**2 - 13*n + 26. Let s be m(11). Suppose -5*y + 18567 = s*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i - 28*i = -11*i + 355 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c. Let n(j) = j**2 + 28*j + 78. Let y be n(-25). Let k(l) = -3 + y + 97651*l - 97648*l. Calculate v(k(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 5*u**2 + 5*u - 5. Let c be q(-6). Calculate the greatest common divisor of 11 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2137*z - 69396 - 84035 = -46581 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**0)*(h\/h**(-3))\/h)\/((h\/h**(2\/3))\/h)**(1\/26)*(h**(1\/7)*(h*h**(-1\/3)\/h)\/h)\/(h**1)**30 assuming h is positive.\nAnswer: h**(-2563\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2, 4 = 5*x - x - 4*n. Is -8\/9 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176.5 + 176. Sort -11, 4, p.\nAnswer: -11, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and (-107 - 36)*2*3\/(-6)?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let v(d) = 176*d - 1694. Let y(b) = -62*b + 565. Let l(o) = -6*v(o) - 17*y(o). Determine l(t(s)).\nAnswer: 2*s + 559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g**2 - 13*g**2 - 13*g**2 - 2*g**2 - 5*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d + 3 - d**2 - 13 - 8 + 14 - d. Give n(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1715 at least -1715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t + 4. Suppose 5*q + 0*q = 5*b - 30, 4*b = -2*q - 36. Let o be q*(-4 - 24\/(-5)). Let m be w(o). What is the highest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -978978402 divided by -6?\nAnswer: 163163067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -57. Let i = v - -47. Solve 3*y + h = 8, 0*y + 4*h + i = 5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 not equal to -1981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 331, 0, -7 in ascending order.\nAnswer: -7, 0, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -2558 + 966. Let j = -186 - l. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + (-5 - (7 + -19)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 66 + 46 = 0. What is the highest common factor of s and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.94 - 0.06. Let q = -15 - -33. Let u = a + q. Sort u, -2\/3, 4\/7 in increasing order.\nAnswer: -2\/3, u, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57652 - 197342. Let x = -98361 - u. Let g = 28129 - x. Round g to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83559*u + 83562*u - 5*t + 19, -4*u - 4*t = 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 n, 1 r, and 1 k when four letters picked without replacement from kkkckccckckrknkc.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - (-972 + 921)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 7:27 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 1:14 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 50*o**2 - 2*o - 29. Calculate the remainder when 67 is divided by u(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 78192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01425 + 0.11425. Let x = 0.4 - -0.1. What is the smallest value in x, -0.04, j?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 - 1\/2*g**3 - 6*g - 1\/2*g**2. Does 3 divide z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**5\/60 + 7*w**4\/12 + 145*w**3\/6 + 8*w**2 - 8*w. Does 3 divide m(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28490947 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26212441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 62*c + 287. Calculate l(57).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/12)\/(3864\/(-1935) + 2). Let s = j + 54. Which is the third biggest value? (a) 0 (b) -1\/7 (c) s (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(sqrt(99)*-1)\/sqrt(9)*2)**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 7*b**2. Let h be ((-2)\/(-3)*21)\/2. Let g be p(h). Suppose g = 3*d - d. Which is smaller: d or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -23*y. Let k = -23 - -26. Let i(h) = -4*h - k*h + 0*h + 6*h. Calculate i(s(w)).\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741500563.\nAnswer: 31, 89, 268757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/(10\/(-30)). Which is the second smallest value? (a) x (b) -10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n = 14. Let x(v) = v**2 + 7*v + 5. Let u be x(n). Find the third derivative of 5*d**2 - 3*d**6 + u*d**6 - 6*d**2 wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 11*l + 15. Let x be z(12). Suppose 0 = -0*h - x*h - 9. Let u be 4*((-12)\/16)\/h. What is the greatest common divisor of 5 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o**2 + 9*o - 1. Let y be b(4). Suppose 57 = -y*p - 0*p. Let m = 33 + p. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f - 38396*f**2 - 26*f - 16*f.\nAnswer: -38396*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17c4 - 1?\nAnswer: -17c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -795*g + 1303*g - 488 - 836*g - 27 - 109 wrt g.\nAnswer: -328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11))**(-24\/7) assuming k is positive.\nAnswer: k**(264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -84 + 58 + -10 + -62.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*m**4 + 2*m**2 + m**2 - m + 3 - 3 to the form l*m**2 + j*m**4 + u*m + p*m**3 + r and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144 + 145.97. Let c = 0.03 + r. Suppose 88*y + 2*j = 91*y - 19, 0 = -5*y - 5*j + 15. What is the smallest value in y, 0.5, c, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1460652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-16))\/(1\/(-6))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -0.4, 37400780?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147 + 342 + 19*d - 25*d - 108)*(d**2 + 5*d**2 - 4*d**2).\nAnswer: -12*d**3 + 762*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-30)*2*21\/63.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776a9 (base 11) to base 3.\nAnswer: 12201112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 18*i**3 + 27*i**2 + 175*i - 36. Let d(v) = -9*v**3 - 12*v**2 - 88*v + 16. Determine -9*d(n) - 4*q(n).\nAnswer: 9*n**3 + 92*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:06 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 13*z**2 + 1908*z - 39457. Give b(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.35 < -130190.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 54.49449*-1\nAnswer: -54.49449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*w - 110984 = -21164 for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 p when four letters picked without replacement from eziuuzpziepiizpe.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -15733*v**2 + 3*v. Let s(c) = -3*c. Calculate x(s(l)).\nAnswer: -141597*l**2 - 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -4, -3\/7 in ascending order.\nAnswer: -4, -3\/7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1068 and 1124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434873605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 0.2 (c) 1733378\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -23*m**2. Let j(b) = -34*b**2. Let s(l) = 3*c(l) - 2*j(l). Let y(w) = -13*w - 20. What is s(y(p))?\nAnswer: -169*p**2 - 520*p - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1bb925 + -339?\nAnswer: -1bbc61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1313997858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b. Let n(t) be the third derivative of 0*t + 0 + 14*t**2 + 0*t**3 - 1\/60*t**5 + 0*t**4. Calculate n(o(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-3)*-3*1. Let t be (-2)\/1*s\/4. Calculate the remainder when t\/6 - 69\/(-6) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 53, 3 in decreasing order.\nAnswer: 53, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.138 and -2821.\nAnswer: -389.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19903180 by 1.\nAnswer: -19903180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012405.\nAnswer: 5, 202481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -40*b**2 + 5*b - 5. Let l(u) = -28*u**2 + 4*u - 4. Let f(i) = -5*l(i) + 4*y(i). Let m(v) = v - 35. Determine f(m(j)).\nAnswer: -20*j**2 + 1400*j - 24500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-6)\/7)\/(19\/(-2394)))\/2. Suppose -460*x = -478*x + q. Suppose -2*t + 3*y + 3 = t, 4*t - 8 = 2*y. What is the highest common divisor of x and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23013 + 113?\nAnswer: -22400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + 2 - (4 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56210, 113195, 170180, 227165, 284150, 341135?\n\"Answer: 56985*b - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2317150 or 2317151?\nAnswer: 2317151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 19. Let k(y) = 8*y - 151. Let p be k(17). Give t(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3454204 (base 7) to base 3.\nAnswer: 211000212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1a89b (base 14) to base 16\nAnswer: 107e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + (2 + sqrt(275) - sqrt(275)) + 3*(sqrt(275) + 2*sqrt(275)) + sqrt(275) + (sqrt(275) + sqrt(275) + -3*sqrt(275) + 0 + sqrt(275))*5)**2.\nAnswer: 27505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 70*c + 220. Give o(-73).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(10) - 4*sqrt(160)) + (sqrt(612) - (sqrt(612) + 2 + 3)**2) + sqrt(612) + sqrt(612).\nAnswer: -637 - 631*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -99 - 2 - ((-37 - 22) + 35)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**2 - 7*p - 5. Let n be k(6). Let q = n - -478. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 38. Determine f(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h + 240 = -32*h. What is the greatest common divisor of h and 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -16, 3383, -1, -3, 76 in decreasing order.\nAnswer: 3383, 76, 5, -1, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {g: 4, x: 2, c: 6, u: 1, y: 3}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 27 + 11. Let n = j - -12. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 1:48 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 4.\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 7*d - 4. Let u be x(-6). Suppose 7*s - 15 = u*s. What is the first derivative of -s - 2 + 2*i**4 + 3 - 2 wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1507*x. Let m(r) = -133143*r. What is m(s(z))?\nAnswer: -200646501*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10190467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -299 smaller than -350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10 = 2. Let x(q) = 3 - 775*q - h. Let s be x(4). What is s rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 100 = 2*m, -4*h + 5*h - 4 = 0. What is the common denominator of (455\/m + 0)\/((-66)\/8) and -27\/121?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4083\/154 - -53\/2. Is 0 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -12) + 17 + -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u*u*u\/u**(2\/41))\/u*u\/(u**(-3\/5)\/u)*(u*u*u**3)**(-7\/6) assuming u is positive.\nAnswer: u**(-347\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, y: 3, q: 7}. Give prob of sequence yqqq.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31754268 and 7898?\nAnswer: 349296948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 2*x - 10. Let l be m(8). Suppose 6 = 2*c + 5*h, -4*h - l = -5*c - 5*h. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*p - 52 = 0, 1 = -2*s + 3*s - 5*p. What is the first derivative of 3*c - s - c + 6*c wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75475 - (4\/8*2)\/((-8)\/72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(sqrt(1100) + 1)*-1)**2*-3.\nAnswer: 3000*sqrt(11) + 165150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - 17*t - 17. Let f = -8 + 6. Let j(l) be the second derivative of -l**5\/20 - 2*l**3\/3 - 2*l**2 - l. What is f*v(x) + 9*j(x)?\nAnswer: -x**3 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) -7 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 495 = -25*y - 108, -p + y = -23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -322*t - 1260. Is g(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = 5*l - 1426. Suppose 3*f - 960 = l. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -59 + (-4 - 6).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2 - 807*d - 22752 = 0. What is d?\nAnswer: -237, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5699c4 - -5?\nAnswer: -5699bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655333 is divided by 3407?\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -144284.6139 to the nearest 10.\nAnswer: -144280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -479*d + 7815 + 2723 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53192 by 2.\nAnswer: 26596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 39. Suppose 0 = -4*h - 5*i + 216, 3*h - 196 = 2*i - s. Let t(x) = 4*x**3 - h*x**2 + 63*x**2 - 5*x**3 - 3*x. Give t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-16))\/((-1)\/(-2)) - 2. Let y(x) = 4*x**2 + 3*x + 3. Let i(n) = n**2 - n - 1. Determine v*y(r) + 3*i(r).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 158857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 5783572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 3. Let h be i(-5). Let d = 2 - h. What is the derivative of -d*s**4 + 2 - 4 + 2*s**4 wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22375644623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82\/(-2460))\/((-1)\/(-4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/7605856 and -1\/8556588?\nAnswer: 68452704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from posyuoi. Give prob of sequence is.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 701030 by -7.\nAnswer: -701030\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -17. Let v(y) = 84*y**2 + y**3 - 39*y**2 - 7 - 46*y**a. Let r be v(0). Which is smaller: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 19 - -13)*(-83271)\/(-3 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -2\/467?\nAnswer: -2\/467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 + 6*z**2 + 23*z. Let j(y) = -y**3 + 5*y**2 + 23*y. Give -4*j(r) + 3*q(r).\nAnswer: -2*r**3 - 2*r**2 - 23*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-1\/12)*t))\/t)**27 assuming t is positive.\nAnswer: t**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 264 - 893 + 264 + 249.\nAnswer: 2*a - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1268 and -658.4.\nAnswer: -1926.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.9. Let u = -0.25 - i. Let x = 0.04987 - u. Round x to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6654208882 rounded to two decimal places?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 = -8*p. Let l be 15\/10 - (-21)\/p. What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let o(r) = 5*r. Let g(s) = o(s) - 4*w(s). Let j(b) be the third derivative of 0*b + 0*b**3 + 0*b**4 + 1\/60*b**5 + b**2 + 0. Give g(j(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 14*n**2 - 31*n + 6. Let c be s(16). Suppose 8*y = c + 26. Do y and 34\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4 = 0, -3*k + 9 - 12 - 24 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/(9 + -8). Let m = -553 + 555. Let a = m - c. Solve -3 = 3*u + a*x, 0 + 7 = -u - 4*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65091 (base 11) to base 5\nAnswer: -11011401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 667 + -664. Suppose -5 = 2*v + 5. Sort v, 4, k, -16 in descending order.\nAnswer: 4, k, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**3\/6 + i**2\/2 + 2*i. Let v(y) = 2*y**2 - 4 - y - 2*y - y. Let t be (7 + -6)\/((-1 + -2)\/(-3)). Give t*v(g) + 2*w(g).\nAnswer: 2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 38 + m + 21 to the form i + r*m and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 29*l**2. Let f(v) be the second derivative of v**3\/2 + 9*v. Determine f(d(w)).\nAnswer: 87*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332 is divided by 422?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**4\/24 - t**2 - 3. Let o(p) be the second derivative of g(p). Let l(m) = -3*m. What is o(l(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136423434*y**2 + 69055223.\nAnswer: 272846868*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1526, 1452, 1320, 1124, 858, 516, 92?\n\"Answer: -q**3 - 23*q**2 + 2*q + 1548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1666*l**2 + 1439425*l + 860. Determine h(-864).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 20*h - 337. Let l be j(31). Let k = -4 - -8. Solve l*c + 0 - 4 = -3*s, -c + 20 = -k*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d + 1. Let y be o(4). Suppose 5*z = -0*z + y. Let w(q) = q**3 - 56*q**2 + 733*q + 77. What is the lowest common multiple of z and w(35)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -39.1. What is q rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3520\/(-308))\/40*98\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1436 and 24053.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293221993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10319 + 64*m + 10319 + (2 + 1 - 5)*(-m + 3 - 3))*(-2 + 1 + 7) in the form w*m + b and give w.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)*1\/1. Suppose -4*q + 4 = 4*s - 0, 11 = 4*s - 3*q. Suppose -z + b + 8 + s = l, 70 = 3*z + 5*b. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y - 136. Let h = -67 - y. What is the remainder when 218 is divided by ((-2)\/(-4) - h)\/((-11)\/968)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(1 + 2*n - 1) + 0*n + 2*n - 3*n + (-2*n + n - 3*n)*(9 - 3 - 8)*(-3 + 0 + 1) to the form a + u*n and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at most -32845\/891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56 - 2082?\nAnswer: -2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/9 and -57\/258356.\nAnswer: 2325204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76831999.\nAnswer: 149, 515651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n - 9 + 5*n + 10*n - 9*n. Let y(m) = -m**2 + 8*m + 7. Let f be y(9). Let c = 6 + f. What is q(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - r)*(-13 + 13 - 2*r) + 2 - 2 - 2*r**2 + (-8*r + r + 0*r)*(r - 2 + 2).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9930 by -30.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 - (-3 + 4 + 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -4*t - 177, 84*n - 5*t + 42 = 88*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 28 + 10 - 2*v**2 + 27.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55192 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: Three letters picked without replacement from sbhhppzbf. Give prob of picking 1 h, 1 p, and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18158 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15875, 5, -3, 4.\nAnswer: -15875, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.126 - 3513671.\nAnswer: -3513670.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5935992 and -40.673?\nAnswer: 5935951.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkkkkkkkkkkkkpkkkkkk. What is prob of picking 3 k?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1341 = 8*n - 571. Suppose 3*z + 58 - 199 = 3*l, -3*l = -5*z + n. Let t = -46 + z. Solve -t*o + 6 = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.0521, 0, -10\/167, 4\/5 in increasing order.\nAnswer: -10\/167, -0.0521, 0, 0.2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = n - 3, 0*n - 11 = 3*n - t. What is the tens digit of 282*n\/(-3)*(-3)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 8*c + c)*(-c**2 + 0*c**2 + 4*c**2).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-92)\/10)\/(-23))\/((-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = 0, 0*k + 205 = 5*k - 3*o. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -51 - (0 + 1 + -1). Let u be 3*(1 + l\/63). What is the second smallest value in u, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -434*b - 6. Let z(n) = 78554*n + 1085. Give -1085*w(u) - 6*z(u).\nAnswer: -434*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 c, and 1 u when four letters picked without replacement from lcclllnulllccucu.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x**2 + 5*x + 6. Let f(l) = -9*l**2 - 4*l - 5. Determine 5*c(i) + 6*f(i).\nAnswer: -4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 337261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 8 = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 821609515 to the nearest integer?\nAnswer: 28664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00278658982 rounded to five dps?\nAnswer: -0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*d - 23*d + 576 = -198*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 108.6, 1\/8 in ascending order.\nAnswer: -5, 1\/8, 108.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*z - 27, 5*j + z - 51 - 6 = 0. Suppose -2*m + 5*s - 3*s = 10, 0 = m - 5*s + 25. Solve -3*b + 0 - j = m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + 1 + (4 - (-5 + -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1904 = -2*u, -2*u - 951 = -3*t + 2*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 22*c = -219, -a + 3*c + 5 = 10 + 10 + 7 + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2079226919.\nAnswer: 7, 11, 757, 35671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.324 - 0.724. Put -4, -0.1, i, 0.4 in increasing order.\nAnswer: -4, i, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18903*t**2\/8 - 7183145*t\/8 - 475\/2.\nAnswer: -(t + 380)*(18903*t + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 7:11 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16415934.8 rounded to the nearest 100000?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6798291, -13596860, -20395429, -27193998, -33992567?\nAnswer: -40791136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -324, -382, -486, -660, -928?\n\"Answer: -4*o**3 + o**2 - 33*o - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + z**3 - 6*z**3)*(-8*z + 16*z - 10*z - 65).\nAnswer: 4*z**4 + 130*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244712, 489346, 733980, 978614?\nAnswer: 1223248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156183799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a*q**2*w - 141*a*q**2 + a*q*w + 2*a*w + 6*a + w + 30 wrt q.\nAnswer: 12*a*q*w - 282*a*q + a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/9)\/((-1160)\/(-2088))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20020233 (base 4) in base 11?\nAnswer: 23048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438 - 15. Suppose 5*y + 21 = 2*p, 13*p = 18*p - 4*y - 78. What is the greatest common divisor of p and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:42 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 371001425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 117*u**5\/4 - 11819*u**4\/4 - 2933*u**3 + 51*u**2 = 0.\nAnswer: -1, 0, 2\/117, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26700539.\nAnswer: 23, 1160893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) - (-35)\/49. List the prime factors of (-2 + c)\/((-1)\/59).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180900 divided by -180?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15901596 divided by -3975399?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 11. Let o be s(5). Solve o = -6*m + 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, 28, 111, 258, 487, 816?\n\"Answer: 3*c**3 + 5*c**2 + c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.02, -0.013, -4 in increasing order.\nAnswer: -4, -1, -0.013, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 2.48.\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-86)\/(-28))\/((-6)\/4). Let i = -507 + 3537\/7. Let c = i - k. What is the closest to c in 5, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -31*d + 49. Let q be u(6). Let z = -823\/6 - q. Sort 4, -3, z in decreasing order.\nAnswer: 4, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -206?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 91\/14)\/(6\/4). Let m(a) = -13*a**3 - a**2 + a. Give m(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 - (-1232)\/24. What is the greatest common factor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*h + 27 - 5837 = 288*h for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7146 - 7112. Solve -v - 16 = 25*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f - 112*f + 4 + 4.\nAnswer: -94*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2925\/(-208))\/25*(-4)\/(-18)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 6*q - 5. Let j be b(-4). Let d(t) = 4*t**3 + 2*t**2 - 5*t + 3. Let h(r) = 7*r**3 + 3*r**2 - 9*r + 5. Determine j*h(k) - 5*d(k).\nAnswer: k**3 - k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -0*f - 3*f - x, 4*x - 5 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 45. Calculate the smallest common multiple of r(-26) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = x, 10 = j - 5*j + 5*x. Suppose j = -4*o + 2*d + 12, o - d = 4. Suppose o*y - 187 = y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1251, -1250, -1249?\n\"Answer: r - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011110110011101 - 100101001?\nAnswer: 101011110001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9006*z. Let s(t) = -37*t**2 + 2*t. Give l(s(c)).\nAnswer: 333222*c**2 - 18012*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 3*y**2 + y + 3. Let j be r(-3). Solve -3 = n - j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -172 + 165 + (-1 - (98 + -4 + -3)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 6*x**2 - 6*x - 3. Let v be n(-5). Let r be 4\/2 - (-5 + 2). Suppose -r*w + 19 - 4 = 0. Solve s - v*s = w*d + 11, 0 = -4*d - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -87 + 69 - (35 + -23)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 15*r - 20 = 0. Solve -b + r = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d, 4*j = 2*d + 2*d + 26488. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 6. Let s(y) = y**2 - y + 4. Let h be s(0). Let i be b(h). Suppose 0 = -t + i. Solve 0 = 2*d + t*l - 6, d + 2*l - 8 = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**5 - 3*v**4 + 8*v**3 + 18*v**2 + 8*v. Let u(d) = d**5 + d**3 + d**2. Let q(h) = 6*u(h) - z(h). Find r, given that q(r) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 40 = c - 33, -5 = -b. Suppose -9*s - 178 = -10*s. Suppose 174*o - s*o = -56. Calculate the remainder when c is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 4*s**2 - 7*s + 1\/280*s**6 + 15\/56*s**4 + 0 + 9\/14*s**3 + 1\/20*s**5. Let l(f) be the first derivative of k(f). Factor l(t).\nAnswer: 3*(t + 1)*(t + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-14)*1533\/438.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 12*z + 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4817 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -62*s**2 + 10*s - 49. Let k(t) = -62*t**2 + 12*t - 48. Let f(u) = 5*k(u) - 6*q(u). Differentiate f(l) wrt l.\nAnswer: 124*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c**2 + 2 - 2)*(-2 + 1 + 2) - 7*c**2 + 2*c**2 + 0*c**2)*(-6*c**2 + c**2 + 6*c - 657 + 659).\nAnswer: 20*c**4 - 24*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, s: 1, m: 2, t: 1, x: 5, f: 2}. Give prob of picking 1 m and 1 t.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/(o\/o**(-1))*(o**1)**(7\/4) assuming o is positive.\nAnswer: o**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 289*w**6\/15 + 1384*w**3\/3 + 4894*w**2. Differentiate n(a) with respect to a.\nAnswer: 6936*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ojoejddojdd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -617297 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -3. Let s(t) = -t**3 - 3*t**2 + 6*t - 6. Let b be s(p). What is the greatest common divisor of b and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 23. Let b be n(12). Let x = 3 - 2. Suppose -b = -2*l + x. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n**3 + 602*n**2 + 120*n + 14. Let z = -89 + 169. Let m = 120 - z. What is the remainder when m is divided by f(-60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 20*r**3 - 60*r**2 + 45*r - 10 = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + n**2 - 2 + 21*n**2 + 5.\nAnswer: 28*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14228987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -1 (c) -27 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.7. Let i be 4 + 1\/((-10)\/46). Which is the closest to 0.1? (a) 0.4 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14959 or 15632?\nAnswer: 15632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -309 + 1245. Let f be -1 - (b - -4)\/(-2). Let t = f + -6085\/13. Do 2 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 4*l + 545128 + 3418597 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (-1 - -1) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 1058.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 15. Let y be (12\/3)\/((-1)\/(-14)). Let k be 6\/14 - 8\/(y\/3). Give s(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -435 + 425?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - 789*h - 74121. Calculate x(224).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**2 - 56*y**3 - 16*y + 57*y**3 + 3*y**2 wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -4, 7, 3, 13, -418 in increasing order.\nAnswer: -418, -4, -2, 3, 4, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 2*x**2 - 8 + 37 - 305*x to the form t*x**2 + c*x + g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2064*t + 4 + 2073*t - 1 + 2. Let w(y) = 2*y + 1. Give 4*u(b) - 22*w(b).\nAnswer: -8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1652154*b*d**2*q**3 - 5*b*d**2 + 2*b*q**3 + 10*d**2*q + 20*d**2 - 9*d*q + d - 8 wrt q?\nAnswer: 9912924*b*d**2*q + 12*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*s = 31, 4*f - s - 11 = 5. Let g = 0.8 + -0.7. Which is the biggest value? (a) f (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 26*r - 1 = 28*r, -4*m = 3*r + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/9)\/(355\/(-426))*(-130)\/(-676)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/59 and 14\/3.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150.98 - -151. Which is the nearest to -0.2? (a) -2 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose -6*g = -d*g - 20. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/((-1)\/(-24)*-1). Is y bigger than 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**3 - 7*y**2 + 7*y + 12. Let l be 925\/75 + (-4)\/3. Is g(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*t - 0*t - 66, t = 2*x + 23. Let z = t - 13. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 + 0)*(2 + 1 - 5) - 33 + 35 - 75)*(-2*v**3 + 1 - 1) in the form c*v + z*v**2 + i + j*v**3 and give j.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 1, n: 1, j: 1, m: 1}. What is prob of sequence nme?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060377 to the power of 1\/2, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 813907?\nAnswer: -5\/813907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15157.14 milligrams in micrograms?\nAnswer: 15157140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, i: 1, o: 1}. Give prob of sequence occ.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d + 53. Let p(t) be the second derivative of t**4\/4 + 1529*t. What is n(p(r))?\nAnswer: -9*r**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/80)\/((-294)\/(-28)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/60 + 17*g**5\/15 + 31*g**4\/12 - 22*g**3 - 3281*g**2. Factor z(f).\nAnswer: 2*(f - 1)*(f + 2)*(f + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 8\/(((-8)\/38)\/2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2028782, 4058081, 6087380?\n\"Answer: 2029299*v - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -425 (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 2, p: 1, z: 1}. Give prob of sequence zp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*f**4*g*v + 4*f**4*g + 3*f**3*g*v + 5*f**2 + 2*f*g*v + f*g + 2*g*v - 4*g wrt f.\nAnswer: -792*f*g*v + 96*f*g + 18*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -274103 take away -49784?\nAnswer: -224319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -57*q**3 - 2*q**2 + 100*q + 7567. Let m(z) = 35*z. Let t(l) = -3*m(l) + s(l). Differentiate t(j) with respect to j.\nAnswer: -171*j**2 - 4*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, m: 6, n: 3}. What is prob of sequence kn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = -5*p - 3, -o - 2*p = 0. Suppose 4*g + 4 = o*g. Suppose 2*v - 24 = -g*r, 30 = 4*r + 3*v - 20. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 3*j**2 + 0*j**2)*(59 + 5 - 25).\nAnswer: 78*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 7942?\nAnswer: -7944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose -12 = -4*n - y*n. Let m be (-143)\/(-55) - 11\/((-165)\/6). Solve 3*f = n + m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 4, 0.301, 1\/4, -4\/11, 0?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:36 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44335 - 3767?\nAnswer: -50324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 201605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + 20*k**2 - 11. Determine b(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16230898 and 138?\nAnswer: 1119931962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 15 = -0*d. Suppose -5*b = -d - 2. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -9. Let m = k - -9.881. What is m rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 12. Let l(h) = -7*h - 10. What is the tens digit of l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 13*g**2 + 13*g + 162. Let a be j(-13). Sort 1, a, 4, -3, 2 in descending order.\nAnswer: 4, 2, 1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:45 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15741 (base 11) to base 6.\nAnswer: 250420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-7) - ((-25)\/(-7) + -6). Let m(o) = 2. Let y(x) = x - 9. Calculate r*y(z) + 9*m(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1011 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(-9\/5))**(-2\/91) assuming k is positive.\nAnswer: k**(36\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c - 9. Suppose -b = c*v - 3400, 0 = -4*v + 2*v. What is b rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70, 110, 426, 884, 1490, 2250, 3170?\n\"Answer: u**3 + 62*u**2 - 13*u - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -4.7. What is the biggest value in -2, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*z = -177*z + 799*z - 19240 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 4*u**6\/15 + u**4\/12 - 4*u. What is the third derivative of p(a) wrt a?\nAnswer: 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -52, 1\/6, -5 in descending order.\nAnswer: 17, 1\/6, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*(-2 + -42). Suppose 0 = 10*n + 81 + 169. Let v = n - j. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1d?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -13*i**3\/3 - i**2\/2 + i. Is b(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*a**4 + 1491*a**3\/2 + 451*a**2\/3 - 46*a - 28\/3 = 0. What is a?\nAnswer: -2\/9, 1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - 99 - 110 - -70.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/273)\/(27\/42)*(-18)\/24.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 2\/3*k**3 + 0 - 7*k - 11\/12*k**4 + 0*k**2. Find the second derivative of m(n) wrt n.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:05 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**2 + 11*i**2 - 28*i**2 + (-2 - 2 + 2*i + 3)*(3*i - 6*i - i).\nAnswer: -19*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/(-10) - (-4)\/5)*-20. Is t greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*q + 1166*q - 387*q - 398*q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -34, -281, 35\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2544, -5090, -7636, -10182?\nAnswer: -12728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317671 is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 80*u - 919. Let q be o(14). Solve -4*l = 3*i - q, -4*l - 8 + 1 = -i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 29. Sort 2, 0, i in increasing order.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 + 245 + -80 - (0 - 13).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1394 in -5, -376, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1960) - -6*sqrt(80)\/sqrt(2))\/(4*(2*sqrt(648) + sqrt(8))))**2.\nAnswer: 5\/5776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17803.\nAnswer: 19, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5271897 + -5497930?\nAnswer: -226033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1101848 and 66728?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 - (-20*1)\/(-5). Suppose v*a = 7*a + 5. What is the units digit of (a - (0 + 5)) + 70?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7472 = -a - 33*a + 3846 + 4102 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*c + 159*c + 2 = 2*o, -3*c = 4*o - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-15) - (-37)\/(-3). Let v = s - -4. Let m = 34 - v. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*g - 120*g - 8239 - 8618 = -5129 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/4)\/(5256\/11680).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - y + 87 = -5*p, 3*p - 99 = -5*y. What is the smallest common multiple of 24 and p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1860, -1861, -1862, -1863, -1864?\n\"Answer: -k - 1859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:30 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + z**3 - 2*z**3 + 53.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44719 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -16. Let n be (2 - 3\/(-2)) + -2 + 0. Which is the closest to n? (a) d (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least as big as 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -10 (b) -2\/5 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 21. Let d = -57 - -61. Suppose -11*i + 392 = -d*i. What is the remainder when i is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2463655.5ns to minutes.\nAnswer: 0.000041060925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 127*b + 9 - 239*b)*(0 + 0 - 2*b) to the form n*b + z + c*b**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 - (-1 - (12 + 9 - 24))) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i - 5*g, -5*i + 7 = -2*g + 5*g. Suppose 5*t = -4*w + 11 + 11, -2*t = 5*w - i. Solve -n - t = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-54)\/(-8) - 6)*(-4)\/(-1). Which is smaller: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147\/(-42))\/(4 - 44*1\/8).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = -o, 9 = 5*v + 2*o. Let s(p) = -p**3 + 3*p**2 + 2*p - 4. Let z be s(v). Determine r so that -4*r**2 + 8*r**4 - 5*r**4 - 12*r**3 + 16*r**z = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**8\/23520 + i**7\/1764 + i**6\/420 + 25*i**4\/8 + 77*i**2. Let l(b) be the second derivative of d(b). Factor l(y).\nAnswer: 2*y*(y + 2)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3217*m + 1495*m - 2651*m + 81066 = -120092 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + 2*sqrt(77)*-6))\/sqrt(7).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -183052 (base 9) in base 2?\nAnswer: -11011110001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3128 - -4650. List the prime factors of c.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1480)\/2590*(9\/(3 - 0) + 1)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*q - 55, 5*i - 2*q = 2*i + 32. Solve 3*x + r - i = 0, -5*x + 5*r + 78 = 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.77, 67, -0.2, 5, 10, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 57952719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 411787564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w - 6 = -4*k, 5*w = -2*k + 9. Suppose k*u = 5*u - 12. Let i(j) = -6*j + 4*j - j + j - u. Give i(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*w + 2*i, 3*w = 87*i - 84*i + 27. Let t = -9 - -86. Calculate the least common multiple of t and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*m - 16, -4*f + 2*f - 3*m = 15. Let s = f - -10. Suppose 3*d - h - 3 = -s, -d - h = -5. Solve -l + 5 = d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71788 (base 12) to base 5\nAnswer: 14213432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2208717.\nAnswer: -1\/2208717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c\/c**(-3))\/c*c*c)\/c)*c)**(-1)*(c**(-3\/4)\/c)\/(c\/(c*(c\/(c**(-2\/5)*c))\/c*c)))**(-9) assuming c is positive.\nAnswer: c**(-117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 12*v**2 - 384*v + 2304.\nAnswer: 3*(v - 8)**2*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3847555 is divided by 142502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -30\/196255403?\nAnswer: -30\/196255403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 52*r + 20. Calculate n(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1425 divided by -16\nAnswer: 1425\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sosrssoossobjbo. What is prob of picking 1 o and 2 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 29*s**3 - 24*s**2 + 6*s - 6. Let k(z) = -59*z**3 + 49*z**2 - 13*z + 13. Let d(f) = 6*k(f) + 13*u(f). Find the third derivative of d(p) wrt p.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734465 is divided by 734455.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 7*i - 3. Let z be 1 + -4 + (26 - 3). Let o = 7 + -3. Suppose o*m = -0*m - z. What is t(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 72. Let n be ((-4)\/(-6))\/((-4)\/(-246)). Let o = c + n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4035534425 - 3?\nAnswer: 4035534422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*r = 57*r + 124. Find the second derivative of 0*y + r*y**5 + 4472 - 4460 - 3*y wrt y.\nAnswer: 1240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Suppose x*r = 3*r + 2. What is the third derivative of 2*h**2 + h**2 + r*h**3 - 3*h**3 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**3 - 5*f**2 - 5*f + 5. Let z(g) = -4 + 7*g**2 + 3*g**3 + 0 - 3*g**2 + 4*g. Let c = 30 - 16. Let l = 9 - c. What is l*z(t) - 4*j(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7563575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 12 = 3*c, 5*c + 2*y = 2 - 22. Let s = 5 + c. What is the units digit of (s - 1) + 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1442528, -2885053, -4327578, -5770103?\nAnswer: -7212628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u + 4. Give q(-14).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*i + 88 = 0, 10*i = 9*i + 3. What is the greatest common divisor of r and 1672?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9207 years in millennia?\nAnswer: 0.0009207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.094*2.\nAnswer: 0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**21\/x)**(-47)*(x**15)**(-1) assuming x is positive.\nAnswer: x**(-955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20168944 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10d (base 14) to base 4\nAnswer: -3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 8\/3)*9\/(-12). Which is the smallest value? (a) -0.09 (b) -0.5 (c) 1\/6 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 16*b**2 + 39*b - 657. Let m be z(16). Let x(v) = -5*v - 148. Give x(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(9\/3)*3. Let v(p) = -p**2 - p + 1. Let g(k) = -2*k**2 - 4*k - 2. Let t(s) = g(s) - v(s). What is t(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(50\/(-4) - -3) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2 and 1068164 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586 = -3*j - 2*d - 123, j - 165 = 2*d. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + -127.4. Let t = -186 + 184. Put -5, o, t, 0.4 in descending order.\nAnswer: 0.4, o, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(-2)*p**0\/(p*p*(p*p\/p**(3\/2))\/p*p) assuming p is positive.\nAnswer: p**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 337 - 354.79. Let x = 1.21 - w. Let n = x - 28. Is 0.5 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 0.4 (b) 1\/7 (c) 0.6 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -17*q. Suppose 0 = -26*f + 5*f - f + 66. Let g(a) be the third derivative of -1\/24*a**4 - 9*a**2 + 0*a + 0*a**f + 0. Calculate g(y(o)).\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1911) + sqrt(39))\/sqrt(3)*-4.\nAnswer: 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-3*x + 8*x + 4*x) - 18*x - 4*x - x as t + l*x and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 - 35*x**4 + 70*x**3 - 10*x**2 - 75*x + 45 = 0. What is x?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -95b8b3 (base 14) to base 13\nAnswer: -10841b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 - 68 = 2*b. Suppose -3*q = b - 406. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 i when four letters picked without replacement from {i: 2, w: 2, o: 7, d: 1, h: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 926*d**3 + 13597*d**2 + 524*d + 41496 wrt d?\nAnswer: 5556*d + 27194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 64 + 80. Suppose -4*c = -m + 5, 3*c + 5*m - 9 = 16. Calculate the smallest common multiple of 19 - (2 + -1 - c) and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82540 and 412700?\nAnswer: 412700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 + 22*d + 129. Calculate t(-6).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -493. Which is bigger: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 (base 9) in base 12?\nAnswer: 27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -23 + 104 + -85.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 0*p + 2*p - 9 = 0, 201*h + 9*p + 15 = 206*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(4 + 1 + sqrt(605)))**2 - ((sqrt(180) + sqrt(180) + 1 - sqrt(180))*5 + -1*sqrt(180) + -2).\nAnswer: 1736*sqrt(5) + 10075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 6. Let u be l(-3). Suppose 6 = 9*o - u. What is the third derivative of -7*x**o - 8*x**6 + 20*x**6 - 15*x**2 wrt x?\nAnswer: 1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a868a (base 16) in base 2?\nAnswer: -10101000011010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 4*p**2 - 3*p + 34. Let h(g) = 7*g**3 + 15*g**2 - 11*g + 138. Calculate 22*a(x) - 6*h(x).\nAnswer: 2*x**3 - 2*x**2 - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-922055*z + 1426*z**2 + 922055*z)*(-2*z**2 - 2*z**2 + 6*z**2) to l*z**4 + t*z + y + i*z**2 + g*z**3 and give l.\nAnswer: 2852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 5*g = 31, 646*l - 7 = 644*l - g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1280458337 + 0.3\nAnswer: 0.4280458337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -1916. Suppose 1122 = 2*z - c. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 703 + -706. Sort 5, -0.4, -1, c, -28 in descending order.\nAnswer: 5, -0.4, -1, c, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 1947.\nAnswer: 9735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4002867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-7 - -7) - (-4 + 4 + -10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22737162373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.116 - 105.884. Let i = 132 + w. Is 0.2 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3000? (a) 93 (b) 7 (c) 1 (d) 2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 55 + 20. Suppose 3*z = -2*z + o. Which is the nearest to 0? (a) z (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322891561*a**2 - 579540323*a wrt a?\nAnswer: -645783122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + 112\/14)\/(33\/(-9) - -3). Which is smaller: 0.201 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2*l*p - 17*k**2*l + 3*k**2*p + 25*k**2 - 3*k*p - 2*k + 294*l*p wrt p.\nAnswer: k**2*l + 3*k**2 - 3*k + 294*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278*h*t**2*x**2 - h*t**2*x + 285*h*t*x**3 - 2*h*t*x**2 - h*x**3 - 2*h*x**2 + t**2*x**3 + 6*x**3 - 2 wrt x.\nAnswer: 1710*h*t - 6*h + 6*t**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 2 + 180089\/(-5460).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149212353 by -1.\nAnswer: -149212353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -16336449\/8 and -2042057 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5 = -4*q - 4*s, -s = -3*q + 2. Let h(j) = -j**2 + 19*j + 1. Calculate the remainder when q is divided by h(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j**2. Let m be i(1). Suppose 0 = 2*q - 6 - m. Suppose q*y = 18 - 3. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038234639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 630 - 311. Let p = 780 - y. Round p to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -169.82938 to the nearest integer.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 2)*(-14)\/(-147))\/((-768)\/112)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*u**3 - 9*u**3 - 3 as d + s*u + f*u**2 + i*u**3 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.04 (b) -4 (c) 0.5 (d) 0.06 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - -2) + 9 + (-9 - (-37 + 15))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3872231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74073.22 grams in tonnes?\nAnswer: 0.07407322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 8. Sort -4, o, -5 in increasing order.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 11868*d**2 + 5*d - 2*d + 4.\nAnswer: 11868*d**2 + 3*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - m = 3*c + 11, -23 = 4*c + 5*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*b**2 - 8 + 8 - 320*b**2 + 642*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -286062 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*v = 5, 3*v = 3*t + 10 - 40 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2450*l + 4 = -2454*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 26*k + 32. Let n be w(13). Calculate the greatest common divisor of n and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 10*u**2 - 6*u + 64. Let n be y(-11). Let f(d) be the first derivative of d**4\/4 - 10*d**3\/3 + 4*d**2 + 6*d - 3. Determine f(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + 3*k)*(-61 + 13*k + 61)*(0 - 1 - 1)*(k + 17 - 11 - 10).\nAnswer: -26*k**3 + 104*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/5, -169, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-9))\/1)\/(32\/(-48))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 489285 and 480?\nAnswer: 15657120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 551579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9406, -75323, -254252, -602701, -1177178?\nAnswer: -2034191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308, 630, 952, 1274, 1596?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, m: 7, l: 6}. Give prob of picking 1 l and 1 a.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*s + 2*s**2 + 16 - 37 + 21)*(0*s**2 + s**2 + 3*s**2).\nAnswer: 8*s**4 - 100*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2814326?\nAnswer: 2, 23, 193, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -4. Suppose r - 33 = 4*r. Let b = f - r. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -24*q + 274. Let y be s(10). What is the highest common factor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1774*v - 218. What is the thousands digit of f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5436 is divided by 160?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2106*m**2 + 142*m + 9. Is g(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 307 + -147. What is the highest common divisor of w and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 16 = -7*j. Let f = -3 + j. Let z(g) = 10*g**3 + 2*g**2 - 2*g + 1. Does 11 divide z(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 - 13557084*w - 203356160\/3.\nAnswer: -4*(w + 5)*(w + 10167808)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2339319, -2339314, -2339305, -2339292, -2339275, -2339254?\n\"Answer: 2*v**2 - v - 2339320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 13*q - 2*q)*(-1 + 1 - 3*q)*(15 + 9 + 10).\nAnswer: -1428*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6597467682?\nAnswer: 2, 3, 13, 84582919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 45 - 7. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 17 = -11. Let y be (-48)\/(2 + 1 + n). Let j be 16\/14*12\/y. Which is the biggest value? (a) 11 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1303, 5988, 17393, 38872, 73779, 125468?\n\"Answer: 559*q**3 + 6*q**2 + 754*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -2797906?\nAnswer: -2797896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 142311 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: Evaluate (-10855)\/(-167)*(-14)\/35 + 84.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9325 - -0.0675. Let j = -7.13 - -0.13. Which is the biggest value? (a) l (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284527 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.2. Suppose -54*i - 10 = -52*i. Let p be (i\/(-30))\/(10\/12). What is the closest to p in -0.4, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*r - 0*x, 0 = 2*r + 2*x + 4. Suppose c = -9 + 5. Let j(f) = 2*f**2 + 12*f + 16. Let s be j(c). Solve 4*n - 2*d - r + 5 = s, -8 = 2*n + 2*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -151447, -605805, -1363071, -2423251, -3786351, -5452377, -7421335?\n\"Answer: -u**3 - 151448*u**2 - 7*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.071144883 to 4 decimal places.\nAnswer: 0.0711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 0.6, 4787, 59?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*w - 1484 = -3*q, -3*q + 4504 = 4*w. List the prime factors of q.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.12*0.4.\nAnswer: -0.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 90776*c + 544698. Give v(-6).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**9*m)\/m**(-3))**(-23)*(m**(3\/2)\/m**(-3))\/((m\/(m\/(((m\/m**(-2\/23))\/m)\/m)))\/((m*m*m**(-6))\/m)) assuming m is positive.\nAnswer: m**(-13735\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -23. Let s be 0\/(4 - w - -3). Solve o + 2 = -s*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 8:48 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 6*h**5 - 2*h**5 + (0*h**2 - 2*h**2 - 11*h**2)*(2*h**3 - h**2 + h**2).\nAnswer: -23*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -120*z**2. Let c = -125 + 127. Let h(a) = -4*a**2 - 8*a**2 + 14*a**2 - 3*a**c. Give h(u(d)).\nAnswer: -14400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**2 + 10*u - 13. Let f be n(-4). Solve 0 = f*r + a + 8, 5*a = r - 3*r - 24 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -2\/15, -0.3 in increasing order.\nAnswer: -0.3, -2\/15, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 30 - 126. What is the remainder when ((-30)\/o)\/((-2)\/(-120)) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 334 - 334.1. Which is the fourth biggest value? (a) k (b) -0.4 (c) 7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5912 = -982. What are the prime factors of l?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1879 = s, 124*y - s = 122*y + 3754. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17 - (-4 - (-1 + (1 - 3))). Calculate the lowest common multiple of 54\/15 - (o\/30 + 0) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1)\/d**(-15\/4)*(d\/(d*d**(1\/9)\/d*d*d*d))**32 assuming d is positive.\nAnswer: d**(-2225\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 10) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*z**3 + 1445*z**2 + 5800*z + 1360.\nAnswer: 5*(z + 4)*(z + 68)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/55)\/((-102)\/1122)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15, 0, -4\/5, 0.3, -5, 0.02646?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 207749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 8. Which is the third biggest value? (a) 0.1 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(45)\/(sqrt(729)*6) + 4.\nAnswer: -sqrt(5)\/27 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 86\/(-60) + (-1793)\/(-978). Which is the closest to w? (a) 3\/2 (b) 2\/7 (c) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n - 45. Let g(m) = -4*m + 23. Let j(b) = 3*c(b) + 5*g(b). Let h be j(-20). Calculate the remainder when h\/3*(-15)\/10 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 969378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/2, -0.02, -845 in descending order.\nAnswer: 1\/2, -0.02, -1, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 70.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 222 = -28*g. What is the least common multiple of g and 51?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20084*x**4 + 247*x + 2 wrt x.\nAnswer: -241008*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 594?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4181 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 1 = -3*i, -2*i = 3*q + 10 - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202615420 to the power of 1\/3, to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513) + sqrt(513) + (-1*sqrt(513) - sqrt(513)) + sqrt(513))\/((-1*sqrt(6))\/sqrt(2)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3)*g*g**(-2)*(g**(-1))**(2\/115))**(-2\/145))**(8\/9) assuming g is positive.\nAnswer: g**(1936\/450225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, 1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -35*s + 28*s. Solve 0 = -x - 3*k - 7, -s*x - 5*k - 13 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-177)\/(-6)*(-776)\/(16\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 = -1567. Let k = d + -569. Suppose i + 3*h = h + 261, -4*i + k = -3*h. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 3\/2, -3 in descending order.\nAnswer: 3\/2, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4699, -4845, -4993, -5143, -5295?\n\"Answer: -n**2 - 143*n - 4555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o = 7*o + 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 22*f - 1. Let r(x) = 75*x**2 + 19*x**2 - 82*x**2. What is r(m(n))?\nAnswer: 5808*n**2 - 528*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 414282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1*78)*6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 24 + 14\/5*r**5 + 26\/3*r**3 + 0*r**4 + 0*r + 0*r**2. Find the third derivative of z(u) wrt u.\nAnswer: 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 436*g + 22. What is the least common multiple of 6122 and k(0)?\nAnswer: 67342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 1, -9, -21, -35?\n\"Answer: -p**2 - 5*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 9446*h**2 + 9439*h**2 - 4)*(69 + 72 + 35 + 20 - 10) to the form t*h**2 + q*h + d and give d.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1232\/560 - 8\/(-10). Solve -b = 6 - n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, h: 3}. Give prob of sequence yyy.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 8 + -9 + 12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 114. Suppose 4*v - 2*d = 2, -2*v = 4*d - 9 - 7. Suppose 0 = v*i - 2*t - 12, 4*i + 2*t - u = -0*i. Solve c + c = -i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -7*x - 19. Solve 10 = 5*s - x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**23\/u)**(1\/15)*(u**(2\/29))**(-5))**(-28) assuming u is positive.\nAnswer: u**(-13664\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g + 6. Let s be (-51)\/(-34) - 6\/g. Suppose 2*o = 5*d + 13, -d - 51 = -s*o - 4*d. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*a - 36*a + 108 + 19*a)*(1 - 8*a - 1).\nAnswer: 16*a**2 - 864*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -2 (b) 0 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 328*q**3 - 5*q**2 + 97*q - 4482774 wrt q?\nAnswer: 984*q**2 - 10*q + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*k = -2*l - 60, -73 = -5*l - 4*k. Let x = 171 - 18. Calculate the greatest common divisor of x and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:23 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 80b145?\nAnswer: 80b145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -106842 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 5 + 1)*(9 - 7 - 4)*(-l + l + 5*l**3) in the form i + d*l**3 + c*l + a*l**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/281989?\nAnswer: 2\/281989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1898 + 126 = -4*l. Let i = -421 + l. Solve m = -y - y, 0 = -5*m + y - i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*v, -2 = 5*p + 5*v - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 534516 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -4, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -506465205 or -506465206?\nAnswer: -506465205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*d = -546649 + 134705. List the prime factors of d.\nAnswer: 2, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001259587 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -42, -67?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((4 - (24 + -12)) + (-6 - -11)) - -80.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w - 4*n, 2*n = -w - n - 1. Let l be (3 + -5)\/(w\/(-10)). What is l rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -495 + 524. Calculate the greatest common factor of 841 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 26 = -4*z + 1, 3*z = 5*c + 29. Suppose -k = k - 10, 2*f = -4*k + 36. Is z greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 + 29*f - 2 + 27*f + 42*f + 214*f - 5*f**2 as r + v*f**2 + u*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 754 and 10266.\nAnswer: 133458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10725 = 3*d + 4*c, -2*c = -5*d + 17906. Round d to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49623243 a multiple of 1196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) 0 (b) 13 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/3799?\nAnswer: 3\/3799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) 2 (c) 0 (d) -202 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5\/17 + 622*f**4\/17 + 1878*f**3\/17 + 1882*f**2\/17 + 628*f\/17.\nAnswer: -2*f*(f - 314)*(f + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -428074 or -428033?\nAnswer: -428033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24602644 (base 7) in base 16?\nAnswer: -21de10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11311640.6 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 7:39 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 377 or 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-26)*(-165)\/(-12)*(-9856)\/(-40656).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 224.6536851 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1675*a - 2249*a - 1193*a.\nAnswer: -5117*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -22 - (1\/(-15))\/(6\/(-636)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2137 and -1.755.\nAnswer: 3750.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*s - g + 13, g = -4*s + 8. Solve -z = -3*c + 9, -s*z = 5*c + z + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 569.\nAnswer: -455.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-1*2))\/1. Suppose -2*n = -3 - 3. Find the first derivative of 3*v**2 + v**f - n*v**2 - 1 wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122.16 + 125. Let x = b + 0.16. Let d = -0.198 + 2.398. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 2. Let q be w(2). Let z(l) = l - 5*l + 4*l + 5*l**3 + 1 - q*l**2. Give z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 41 + (-1 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218059 is divided by 609027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20565*d + 36 = -20568*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -35. Let i be (-4)\/y + 4\/(-36). Sort 0.5, 2\/11, i in increasing order.\nAnswer: i, 2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4481 - 4467. Solve 10*d - w = 46 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4*(5 + -9). Let z = -9 - o. Let s = z + 13. Solve 3*m - 3*v - v + s = 0, -4*m - 3*v + 24 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**3 + j**2 - j - 1. Let g be f(-1). Let r(s) = -3*s + 7. Let t(c) be the first derivative of -c**2 + 5*c + 68. Determine g*t(p) - 5*r(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -318703 + -13.453.\nAnswer: -318716.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2506 or 2507?\nAnswer: 2506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1237*h**3*r**2 + 216073*h**3*r + 3*h**3 - 9*h*r**2 - 19*r**2 wrt r?\nAnswer: -2474*h**3 - 18*h - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j - 20. Suppose -3 = j*d - 3*d. What is the units digit of (-2 + -22)\/d*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 2)*(-3 + 4 + 1) - 2 + 8 + 5)*(-703*h - 520*h + 913*h).\nAnswer: -2790*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**2 + q**3 + 1 - 1\/5*q**5 - 4*q + 1\/2*q**4. What is v in l(v) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.04 + -188.96. Let i = g + 205. Which is the nearest to -1\/4? (a) -1 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 3, -120, -2\/7, 1\/4 in descending order.\nAnswer: 3, 1\/4, 0, -2\/7, -8, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 633267083 to the power of 1\/2, to the nearest integer?\nAnswer: 25165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2 + 2. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwddw.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 0.86. Let y = 0.0604 + p. What is y rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(10\/9)*l*l)**(-3\/14)\/(l**(1\/26)\/l)**(-32) assuming l is positive.\nAnswer: l**(-1226\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2 = 5*r, r = 3*i - 11612 + 11615 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -513, -1021, -1519, -2001, -2461, -2893?\n\"Answer: m**3 - m**2 - 512*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*m**4 - 3*m - 153*m**4 + m wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.5540731 from 0.3.\nAnswer: -2.2540731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v + 71 - 85. Let s(b) be the first derivative of 10\/21*b**3 - 12\/7*b**v + 8\/7*b - 11. Factor s(l).\nAnswer: 2*(l - 2)*(5*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, g: 4, c: 1, b: 1, d: 3}. What is prob of picking 1 c and 3 d?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2561 - 0.2.\nAnswer: -2561.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.65 + -2.05. Let u = -4.7 - r. What is the nearest to 0 in u, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 44.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/19))\/(n*n**39)*(n**(2\/41))**44)**19 assuming n is positive.\nAnswer: n**(-28627\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17891.\nAnswer: 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9182*d**2*m**3 - 3*d*m**3 + 5*d - m**3 + 8*m**2 wrt d.\nAnswer: 18364*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83084 by -20771.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-11)\/((-55)\/270). List the prime factors of (-24 - -23)*(j\/1 + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.427 + 40.273. Let m = 40.7001204 - y. What is m rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 - -0.1. Let y = -20 + 14.4. Let p = y - -6. Sort j, p, 0.5 in increasing order.\nAnswer: j, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 603561327\/16 - 37735617. Let n = -13039 - f. Find the common denominator of n and -3 - (0 + 78\/44).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1036289453, -1036289454, -1036289455?\n\"Answer: -b - 1036289452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-5))\/(((-180)\/160)\/(25\/(-60))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 - 13 = 0. Suppose -5*i + 33 = -4*h, -2*i = i + 4*h - 7. What is the remainder when i is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322348.68972 take away -32.1?\nAnswer: -322316.58972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 + 35) - (109 + -105).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 8*c.\nAnswer: -c*(c - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.6.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 - 5*b - b**3 - 4*b**2 + 9*b**2 + 4*b**2 to the form c*b**3 + p*b**2 + h + t*b and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 16. Suppose -k*c + v - 4002 = 0, -5*c + 8*c + 3008 = 4*v. Round c to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + (-56 - (-13 - 34))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 7591*x**4\/2 + 18978*x**3 + 60733*x**2\/2 + 15186*x + 2 = 0.\nAnswer: -2, -1, -1\/7591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*t - 5*k, -3*t + 2*k = -t - 12. Let o(h) = -3*h + 8. What is o(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10382.395 - 118773.\nAnswer: -108390.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 p when three letters picked without replacement from {p: 12, i: 6, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10000010010010111000110000?\nAnswer: -10000010010010111000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 1. Suppose 4*u = 5*u + 3*d - 9, 4*u + 3*d + 9 = 0. Let o = 20 - 18. Let s = u + o. What is r(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*g = -38, 5*g - 9*g + 8 = 0. Solve -4*j - 24 = 4*s, -s - d + 2 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 11:51 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -408 - -414. Calculate the remainder when 192 is divided by ((-177)\/(-3))\/(c\/6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 471494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5 - 2*m**3 + 3*m**3 - 6*m**2 + m**3 - m**3. Let h be 1050\/(-65) - (-2)\/13. Let y = h + 22. Determine z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 5*c + 0*c + (-3 + 2 - 6)*(0*c - 2*c + c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -31880083?\nAnswer: -31880082.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-56) + 6\/8. Suppose h = 5*m - 4. Let q(d) = 187*d**3 + d**2 - 3*d + 2. Is q(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -26. Suppose -17 = -c + m, -4*c + 0*m + 5*m + 72 = k. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + f**4 + f**4 + (-5*f**2 + 4*f**2 + 0*f**2)*(-73*f - 13*f**2 + 73*f + 5).\nAnswer: 12*f**4 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjijjjjjjjjjjjjj. What is prob of picking 4 j?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j - 13*j - 57*j.\nAnswer: -83*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 369180 and 60?\nAnswer: 369180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -17. Suppose -3*m + f*m = r + 23, 10 = -5*m + 4*r. Let j = 0.38 + -0.08. Which is the second smallest value? (a) m (b) j (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6029523 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/32, 5, 3, 2.\nAnswer: 1\/32, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111 (base 2) in base 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 278.03 + -276. Let n = 1.873 - y. Let t = 1.167 + n. Round t to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-297)\/63 - -5) + 33\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (369*r - 6433*r + 3095*r)*(-9*r - 3*r + 4*r) as o*r + q + v*r**2 and give v.\nAnswer: 23752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z - 58*z + 33*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooa when three letters picked without replacement from {o: 8, a: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7851051, -7851048, -7851043, -7851036?\n\"Answer: b**2 - 7851052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -d1d?\nAnswer: d20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2279035906189 and -1.4.\nAnswer: -2279035906190.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01362553183 to four dps.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 5. Suppose 3*w = -4*y + 161, -3*w - 68 - 123 = -4*y. Suppose 3*c + 17 = y. Is q(c) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3560 or -3561?\nAnswer: -3561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:06 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -145, 3, 5 in ascending order.\nAnswer: -145, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42340 and 21170.\nAnswer: 42340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + 45 + (2 - 5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from jitjj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + 18 - 7) + -17 + (7 - (-101 - 6))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3697102 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 the value of (-6758)\/(-109)*(-7)\/3689?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 126. Let r = c - -160. Let u = r + -39. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-8)\/(-2) - 0. Let i(n) = -96*n**2 - 98*n**2 + 9*n + 192*n**2. Let c(y) = -y**2 + 5*y. What is s*i(p) - 7*c(p)?\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-36)*3*0. Let r(q) be the first derivative of q**2\/2 + 45*q - 1. Is 15 a factor of r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*j**2 - 193*j**2 + 8*j**3 - 162*j**2 - 9*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t - 7. Let d be c(6). Let o be 145\/3*(0 - (-72)\/40). What is the greatest common factor of d and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - 4) + (2 - (-3 - -11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 468. Let u be 3\/((-6)\/(-4)) - 2. Suppose g - 30 = -2*q, 4 + u = g. What is the greatest common divisor of z and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169711770 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 59 = 5*f + 85. What is the nearest to -17 in f, -14, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*((sqrt(704) + sqrt(704) + 1*sqrt(704) + -5 - (-2*sqrt(704) + 5)) + 4))**2.\nAnswer: -4320*sqrt(11) + 158724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.1, 5, -16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 2, p: 1, l: 3}. Give prob of sequence pl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 - 4224*r + 8432 = 0. Calculate r.\nAnswer: 2, 1054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (1*sqrt(66) - sqrt(66))*4)\/(sqrt(60)\/sqrt(250)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 2*h**7\/105 + h**5\/15 - 2*h**2 - 4*h. Let q(b) be the first derivative of m(b). Find the third derivative of q(g) wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57753 rounded to 2 decimal places?\nAnswer: -1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 23*s + 71. What is c(21)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 - 182*q + 935. Let d be v(5). Sort -39, d, 3 in ascending order.\nAnswer: -39, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*f**3*x + 5721*f**3 + 2*f**2*x + 18*f**2 + 10637*f*x + 2*f - x - 18 wrt x.\nAnswer: 50*f**3 + 2*f**2 + 10637*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 117*k + 10733. Let d(g) = 6*g + 2. Calculate the remainder when b(-90) is divided by d(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31007 - 54?\nAnswer: -31063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 1 - 20*f + 12*f - 125*f**2 + 0*f + 4*f as y*f**2 + m + u*f and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 782*a = 789*a - 273. Calculate the remainder when 61 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6833 is divided by 133?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2320 - 0.03267195\nAnswer: 2319.96732805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 9*p - 3 = 0, -5*p + 11 = 4*h. Sort 0, h, -2 in decreasing order.\nAnswer: h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1173171 (base 8) to base 5.\nAnswer: -40401431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**2 + 3*m + 1. Is q(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2736) + 0)**2)*-3 + (((sqrt(19) + -1)*4 - (sqrt(931) + 0 + sqrt(19))) + -5)**2.\nAnswer: -7820 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 826.95 take away -239.8609?\nAnswer: 1066.8109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004221.\nAnswer: 1004221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 - 91 = 17*f. Suppose -163 = -d + 3*m, 3*m + 9 = -0*m. What is the remainder when d is divided by f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -16. Suppose -s + r = -1. Is (-2)\/(-7) + 103\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 16. Let c = -21 - -12. Let q = c - b. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71807, 143351, 214643, 285689, 356495?\nAnswer: 427067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 33. What is the units digit of -2*(3 + -2 + z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - r - 3 = -0, 0 = 3*s - 4*r - 12. Let m(p) = -p**3 - p**2 + p + 14. Determine m(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1881304 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 27. Let r be u(6). Suppose 6*k + 5*n = 8*k - 15, -r = -k - 5*n. Solve d - 2 = x, -k*d + 3*x = -5*d - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 4*y - 5 - 6*y - 2*y.\nAnswer: -2*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -15, m - 4*i = -3*i - 4. Let c = 30 - m. Round c to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6695 + 4254*z**4 + 6882 - 3286 wrt z?\nAnswer: 17016*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -26*b**7\/15 - 247*b**3\/6 + 53*b**2 + 3*b. What is the first derivative of j(v) wrt v?\nAnswer: -1456*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*-30*(-154)\/1485?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/17))**(3\/13)\/(p*(p\/p**(-19))\/p)**(-22) assuming p is positive.\nAnswer: p**(97234\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2035*l - 1020*l - 1025*l = -120 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.389 + 23. Let r = 0.289 + j. Sort -1, -2\/9, r.\nAnswer: -1, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - 90. Let y = m - -144. Suppose y*g = 17*g + 90. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5681, 22850, 51499, 91622, 143213?\nAnswer: 206266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4305*l - 4306*l + 33 = 0, 21 = n + l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -122*d + 8. Let h be r(1). Let n = h - -227\/2. What is the third smallest value in -2\/13, n, 5, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -233, 3, -2 in increasing order.\nAnswer: -233, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261983.\nAnswer: 261983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x - 5*x + 4*x)*(2*x**3 - 2*x**3 - 6*x**3).\nAnswer: 42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -120. Suppose 8*z = 3*z - m, 3*s - 52 = 4*z. Solve -4*g = -9*g + 3*w - 20, 2*w + s = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -42.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**2 - 19 + 15 + 5*x + 21*x**3 + 9*x + 0*x - 5*x**2 wrt x?\nAnswer: 126*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(9\/2)\/((k**(2\/27)*k)\/k))\/(k**(-5\/2)\/k*k)**(1\/7))**(-43) assuming k is positive.\nAnswer: k**(-38872\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + p = 5, -3*t - 2*t + 3*p = -1. Suppose -3*c + t*c = -17. Suppose s - c - 3 = 0. Solve -6*z + 2*z = s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-17)*s**(-8\/9) assuming s is positive.\nAnswer: s**(-161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10011?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-70))\/(252\/10920)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*q**2*v**4 - 1885*q**2*v**2 + 8*q**2 + 104*q*v**2 + 566956*v**3 wrt v?\nAnswer: -792*q**2*v + 3401736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c. Let b(o) = 13*o. Determine z(b(f)).\nAnswer: 130*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7086, 14190, 21294, 28398?\n\"Answer: 7104*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(1\/5))*p*p*p**(4\/9))\/(((p**6*p)\/p)\/p*p**(-3\/5)*p) assuming p is positive.\nAnswer: p**(-97\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -0.1576915473315.\nAnswer: 1.8423084526685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Is j less than or equal to 10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5 + 207191*m**4 - 4351317*m**3 + 27973377*m**2 - 50352516*m = 0.\nAnswer: -207212, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43437196.\nAnswer: 2, 11, 987209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:46 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8.5. What is the second biggest value in -0.4, x, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455201857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/9 + 2*d**4\/3 + 92*d**3\/9 + 16*d**2 = 0. Calculate d.\nAnswer: -4, -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2 - 1\/(-5)*5. Solve -f = -g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6045*m + 39017 + 16094 = 1999*m + 2513 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 28*r + 213. Determine a(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(2288\/8))\/((12\/(-32))\/(-3)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 5*i**2 - 2*i + 4. Let j be k(-3). Is 21 a factor of (j\/6)\/(4\/(-222))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 212 = 215 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481889 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*w + 238*w + 7 + 237*w - 7.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*c = 175*c - 147. Sort 1, -1, c, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565370 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1257.91 and -0.25.\nAnswer: 314.4775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 520565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004258721 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7967382?\nAnswer: 2, 3, 523, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3\/3 + 70*m**2\/3 + 65*m\/3 = 0. Calculate m.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0*r**3 - r**2 + 5*r - 3 - 4\/5*r**5 - 7\/12*r**4. What is the third derivative of z(u) wrt u?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 = 2*f + v, -4*v + 14 = 2*f. Suppose b - f*i + 11 = -0, -b - i = -1. Is ((-785)\/(-10))\/(b\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11.2 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 60*c - 216.\nAnswer: -4*(c + 6)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 2. Let h be c(0). Let j be 1*16*(-55)\/20. Let w be 3\/(-2)*j\/3. Calculate the greatest common factor of w and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -6, 99, -0.1, 3\/16 in decreasing order.\nAnswer: 99, 3\/16, -0.1, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 21 + 7. What is the least common multiple of d and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((-2)\/(-3))\/(28\/(-126)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 18 = -2*h, 11*q = 6*q + 3*h + 25 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-195))\/((-28)\/10)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/12 and 23\/1481448.\nAnswer: 1481448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 - n**2 + 6*n**2. Let j(u) = u**2 + 6*u + 4. Let h(f) = f**2 + 15*f + 10. Let z(p) = 2*h(p) - 5*j(p). Calculate x(z(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/3700)\/(((-136)\/680)\/(9\/6 - 2))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/11)\/c**(-14) assuming c is positive.\nAnswer: c**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1662 divide 78798744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*t = 12600 - 5773 + 7451. What is the remainder when t is divided by 55?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**2\/2 - 81*c\/2 + 42 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*p + 4, 20*y - 23*y = -4*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -153, -507, -1191, -2313, -3981, -6303?\nAnswer: -9387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 7*b + 12*b)*(-2*b - 1 + 1) to the form m*b + v + x*b**2 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/28*(-49)\/350)\/((-6)\/15)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 856 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-158)\/14 - (-808)\/(-2828)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320417 divided by 33.\nAnswer: -320417\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, s: 2, a: 2, l: 1}. What is prob of picking 1 q, 1 l, and 1 a?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 292838754 minus -0.0458569?\nAnswer: 292838754.0458569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 200756841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*1*-4 - sqrt(95)*1*5)*2)\/(1*((1*sqrt(320) - sqrt(320)) + sqrt(320) + sqrt(320)) + sqrt(320) - (-1*sqrt(320) - sqrt(320))*2).\nAnswer: -9*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 4.01. Let v = -5.9 - -2. Let o = -4 - v. Which is the second smallest value? (a) m (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 101, 225, 349, 473?\n\"Answer: 124*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7986612 rounded to the nearest ten thousand?\nAnswer: -7990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7042 by 18.\nAnswer: -3521\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 920961627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -44664440 * -0.5\nAnswer: 22332220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 8:53 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34580 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3\/6 + 299*h. Let p(x) = -13*x. What is p(u(k))?\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/3, 181?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 296, 0.3, 7, 4 in decreasing order.\nAnswer: 296, 9, 7, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/28)\/(((-16)\/42)\/(74\/999))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*r + 50*r - 756 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 15 = 5*x, x + 6 = 3*x - 3*f. Let a = 8 - 16. Let y(q) = q + 13. Let i be y(a). Solve i*c - x = 8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 396 - -71?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-7)\/10416*(-240)\/360*6\/2\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - 0. Let g = c - -13.7. Let y = g + -2. Round y to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 16, -0.4, 2, -0.019 in ascending order.\nAnswer: -0.4, -0.019, 2, 16, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/45016 and -19\/612?\nAnswer: 405144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18687651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2241\/(-12))\/(6\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 + 2*k + 173.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9\/q*q**(2\/11))\/((q**0*q)\/q)**(-1\/16) assuming q is positive.\nAnswer: q**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 + 5*j + 15. Let a be q(-6). What is the greatest common factor of 60 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4614239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**3 - 11*m**2 + 7*m + 2. Let p(q) = -3*q**3 + 5*q**2 - 3*q - 1. Let a(u) = 4*g(u) + 9*p(u). Let s = 6 + -11. Let f = s - -3. Give a(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - -2.1. Let w = m + -6. What is the nearest to 0 in -0.1, w, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -45 - (-6 - -1 - ((81 - 3) + 0))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/72*-32*(-2 - (-68)\/32). Let w(m) = 3*m**3 - 1. Let j(v) = v**3 + v**2 + v - 1. Let x(q) = -j(q) + w(q). Give x(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**4\/12 + 7*i**3\/6 - 19*i**2. Let h(a) = -a. Let u(s) = c(s) + 6*h(s). What is the remainder when 89 is divided by u(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 22?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 2*x + 163. Suppose -7*t = -2*t - 25. Let u = x + t. Solve -u*r + 6 = -3*n, 4*n - 15 = -3*r - 37 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 0, 2*i - 18 = -2*u + i - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 20*u**2 - u - 1. Let z be n(-1). Suppose -j + z = 4*o, -9 = -4*o - 5*j + 11. Solve 3 = -o*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/5217990 and -139\/5217990.\nAnswer: 5217990","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1699? (a) 44.9 (b) 5 (c) -0.1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3900 and -67\/117?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 0 + 0)*(0 + 1 - 2) + (5 - 2*n + 16 - 4)*(1 - 2 - 1).\nAnswer: 8*n - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d - 8 = 0. Suppose -5*l = -12 - d. Sort -4, 1, l in ascending order.\nAnswer: -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i + h - 9, -7 = -5*i + h. Let f = -9.9 - -77.9. Let z = f - 73. Which is the closest to 1? (a) -0.1 (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-40))\/((-2)\/(-9*42\/189))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116*s**4 + 30201*s**2 + 7*s - 12666 - 30199*s**2 + 325*s**4 wrt s?\nAnswer: 836*s**3 + 4*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d + 14*d - 21*d. Let n(b) be the third derivative of d*b**4 - 1\/6*b**3 + 0*b + 0 - 9*b**2 + 1\/12*b**5. Differentiate n(t) with respect to t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283780 (base 10) to base 15.\nAnswer: 5913a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/3*-4. Suppose -3*i + 7 = -l. Suppose -3 = 2*z + 5*r + 6, -5*z + 3 = 4*r. What is the least common multiple of i and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w + 31*w - 2*w**3 + 5*w**3 - w**3.\nAnswer: 2*w**3 + 57*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*q - 425 = -9*k, -2*k + 5*q + 195 = 0. Calculate the greatest common factor of k and 520.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 2 - 2 + (-4*z + 2*z - z)*(69*z - 19*z**2 - 69*z) as v*z**2 + q*z + i + p*z**3 and give p.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 c when four letters picked without replacement from ooxocxococco?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -603, -398, 189, 1332, 3205, 5982?\n\"Answer: 29*p**3 + 17*p**2 - 49*p - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497863167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - z - 6 = 0, w + 2*w - 6 = 5*z. Suppose w*u + 2 = 0, -y + u - 2 + 3 = 0. Let r(o) = 4*o. Let j be r(2). Solve y*m = 4*m - j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35eec (base 16) in base 3?\nAnswer: 102020000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2890 = 5*m, 0 = -m - i + 372 + 200. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -674, -2307, -5456, -10625, -18318?\nAnswer: -29039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, u: 2, b: 1, e: 10}. Give prob of sequence ubyu.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*j - 1. Let l(v) = 8*v**3 + 6 + 4 - 4. Let o(t) = 5 + 7*t**3 - 7*t**2 + 11*t**2 - 4*t**2. What is j*o(d) + 5*l(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26790 and 6593.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.365672 minutes in nanoseconds?\nAnswer: 21940320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 910 and 358930?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -49. What is the greatest common divisor of 18 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -9\/2*m**2 + 7*m + 0 + 1\/6*m**3. Determine f(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**10\/20160 + w**9\/2520 - w**8\/896 + w**7\/840 + w**4\/24 + 2*w**2. Let m(n) be the second derivative of u(n). Factor m(k).\nAnswer: -3*k**2*(k - 2)*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 12*j + 38. Let d be q(6). Suppose 10*y**d - 5*y**3 - 20*y - 26*y**2 - 9*y**2 = 0. Calculate y.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594908243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44239532031 take away 18?\nAnswer: -16.55760467969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 25*y**2 - 36*y + 19. Let w be x(23). Find the first derivative of 6*d + w - d + 53*d wrt d.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28849 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9505, -19004, -28509, -38020, -47537, -57060, -66589?\nAnswer: -76124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 8*z + 1. Let b be m(5). Suppose 3*t + t - b = 0. What is the highest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289738172 to the nearest integer?\nAnswer: 17022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s - 9*s - 2*s - 2)*(0*s - 4*s - 3*s).\nAnswer: 21*s**2 + 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220514 is divided by 23024.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -469 divided by 1447?\nAnswer: -469\/1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcbw when four letters picked without replacement from {b: 7, c: 1, w: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*f - 189 - 76 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12941d (base 16) to base 7.\nAnswer: 13230516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175.7 + -154.7. What is the fifth smallest value in 4, -2, 0.2, 2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, d: 5}. What is prob of picking 4 c?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 18*p**2 + 9*p - 7. Let o be d(-13). Let s = -4939\/4 + o. Find the common denominator of s and 73\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(-3)\/(s*s**(-5)*s*s**(3\/8)*s) assuming s is positive.\nAnswer: s**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45252 and 11466?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 13 - 3*k**3 + 2 + 163*k**2 + 52*k**2.\nAnswer: k**3 + 215*k**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 344875079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o**4 + 290285*o**3\/3 - 2254970*o**2\/3 - 515440*o\/3 = 0 for o.\nAnswer: -2\/9, 0, 8, 6443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 104*y + 1. Let l(p) = 69*p + 1. Determine -7*l(r) + 5*m(r).\nAnswer: 37*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 940968 and 156828.\nAnswer: 940968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*p = -139*p - 46 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 309450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - d = 735, -4*r + 1311 = -2*d - 1623. List the prime factors of r.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2978 - 26804\/9. What is the third smallest value in m, 5, 2\/5, 3\/8, 12\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9*z*(z*(z\/(z*z\/(z\/(z\/(((z\/((z\/(z*z*z*z**2\/z))\/z))\/z)\/z)))))\/z)\/z)**(6\/19)*((z**3*z*z)**(-34))**(-18) assuming z is positive.\nAnswer: z**(58206\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (215 - 215 + 7*w)*(-6 - 7 - 22).\nAnswer: -245*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - d**2 - 3*d**2)*(20*d - 20*d - 7*d**2) + (-119*d**2 - 63*d**3 + 119*d**2)*(0*d + d + d).\nAnswer: -119*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 8. Factor 11*r**4 + 18*r**5 + 14*r**3 - 6*r**3 - 6*r**5 + 9*r**b.\nAnswer: 4*r**3*(r + 1)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 2*b + 13. Let v be i(0). Let w = v - 7. Calculate the lowest common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*r**2*t - 3894520*r**2 + 441*r*t - 2*t + 1 wrt t.\nAnswer: -5*r**2 + 441*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 878856688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1854 + -7.4894. What is h rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 + 2097\/8. What is the common denominator of 26\/611 - (-579)\/(-25756) and q?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (((-154425)\/(-100))\/(-71) - (-1 - 11))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Suppose -d = 3*n + 1 - o, -d + 3*n + 20 = 0. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 10*v**2 + 7*v + 8. Let b be j(11). Let t be 9\/(63\/(-14))*(-1 + 26). Let g = b - t. Calculate the remainder when 54 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. Solve -2*m = 3*f + 20, 3*f - 6*f + 2*m = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 466*b**2\/15 - 2326*b\/15 - 4\/3.\nAnswer: 2*(b - 5)*(233*b + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbqxnt. Give prob of sequence bqx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2825 + -2241. What is the lowest common multiple of q and 10?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -41637\nAnswer: -41637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2989 greater than 2989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from {e: 1, t: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - 10 - 5 + 13 + 2*l**2 + l**3 to p*l**4 + m*l**3 + a + b*l + o*l**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 9725911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*n + 53*n - 18*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5342*v**3 + v**2 + 58*v + 57. What is the units digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 251393 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(9\/8))**(3\/40)*(f\/((f*(f\/(f*f**(-4\/7)\/f))\/f*f*f)\/f*f))**31 assuming f is positive.\nAnswer: f**(-178371\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 + 8*k - 28. Let g be c(-6). Let o(u) = -3*u + 103*u - g*u. Let w(r) = -r. Calculate o(w(s)).\nAnswer: -68*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:43 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*b - 71 = -4*w, 542*b + 1141 = -4*w - 417 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 15*k = 0. Suppose k = -3*d + 7*d - 28. Solve -d*l + 16 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*c + 1 = 0, -c + 15 = 4*c. Let x(d) = -d + 31. Give x(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, x: 2, z: 1, w: 2, c: 1, j: 1}. What is prob of sequence xscz?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -0.01 (c) 2 (d) 139831\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 - 47*w + 48*w - 14*w**2)*(-3 + w + 3).\nAnswer: -20*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 18798 + 58594. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/1*5355\/10. Let a = -755 - i. Suppose 5*f = 324 + a. Is f a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4692, 9378, 14064, 18750, 23436, 28122?\nAnswer: 32808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -21763 - 63\/(-6)*(-50)\/75. What is a rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 79*v**2 + 793*v - 84. Let z be s(88). Put z, 0, -255, 5 in descending order.\nAnswer: 5, z, 0, -255","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35873305249 less than -0.6?\nAnswer: 35873305248.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-16)*n**0\/n*n*n*n**(-5)*n**2*n**(-1\/2) assuming n is positive.\nAnswer: n**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -1532 + 2354. Let h = t - 5744\/7. Suppose -36\/7*y**4 - 44\/7*y**3 - 16\/7*y**2 - h*y**5 + 6\/7*y + 4\/7 = 0. What is y?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 115 + 14*y**2 - 121 + 13*y**4 - 16*y**2 + (0*y + 0*y - 2*y**2)*(3*y**2 + 8*y - 8*y).\nAnswer: 7*y**4 - 2*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 + -54. What are the prime factors of o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37929355999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 + 10 = -2*z, -3*q = -2*z - 24. Let x be (-4)\/(-10) - (-32)\/(-5). Let j = x - z. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -36*v - 1. Suppose -8*s - 4 = -4*s. Let w be r(s). Let n = 60 - w. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 - 0.1. Let w = -1.1 - -1. Let x = w - 0.9. What is the closest to x in -5, l, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -543 - -640. Calculate the highest common divisor of y and 3007.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 54.95301s?\nAnswer: 54953010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 7*i**2 - 7*i + 9. Suppose f = 2, -5 = 3*n - 5*f - 13. Calculate d(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*n + 60. Suppose -n*h - 48 - 6 = 0. Let k = 2 + -2.1. Is k at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 10*u - 9. Let y be a(9). Let l = y - -30. What is the lowest common multiple of -1 - -31 - 2\/(-12)*0 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5997 or 6353?\nAnswer: 5997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, 1, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/219 or -172254?\nAnswer: -172254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 less than 2.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/2 + 512*k**2 - 16776*k + 126720 = 0 for k.\nAnswer: -1056, 12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70249427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50.89092 - -50.9. Let h = -0.2 + 0.19. Let x = t + h. What is x rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/12264 and -163\/73584?\nAnswer: 73584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 4505.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 10. Let q be m(-6). Let k(f) = f**3 + 57*f**2 + 107*f - 161. Let w be k(-55). Solve -w = -4*t - 4*d, -14 = 2*t + q*t - 2*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.449 - 0.551. Which is the closest to 1\/3? (a) j (b) 0.1 (c) -3\/100 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*y**3 - 162*y**2 - 267*y + 90.\nAnswer: -3*(y + 3)*(y + 5)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.1399722 rounded to three dps?\nAnswer: 28.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 = l, l + 5*c + 2 = 2*c. Let u be 67 - 67 - 3*(l + -2). Suppose 3\/5*f**4 + 3\/5*f**2 - 6\/5 + 9\/5*f**u - 9\/5*f = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7145 is divided by 648?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.1 (b) 858 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34436*b**4 + 60244*b?\nAnswer: 413232*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 586 + -376. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43044 - 52109302?\nAnswer: -52109302.43044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - p + 5, 3*p = -0 - 3. Suppose u*b + 2*b = 0. Suppose b = 4*t + 7 - 63. What is the greatest common factor of 56 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -66.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f + 80 = -36 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/162 + 491\/810. Let g = 1 + 1. Let v = 1 - 2. What is the nearest to v in 3, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10) + 22\/110. Let i(z) be the third derivative of 0 + 11*z**2 - 1\/30*z**5 - 1\/16*z**4 + 0*z - 1\/240*z**6 + f*z**3. What is n in i(n) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y + 2. Let c be x(-4). Suppose 3*r - c*r + 3*h + 12 = 0, 16 = -3*r - 5*h. What is the first derivative of b**3 - 4 + 2 - 3*b**r wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, r: 2, h: 3}. Give prob of sequence rh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h - 463*h + 5308 + 2532 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*g + 5*b = -126*g + 26, 0 = 5*g + 5*b - 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - l**3 - 4*l**5 + (5*l**4 - 3*l**4 - 4*l**4)*(-l + 3*l - l).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, 1\/2, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3951 - -3951.1. Which is greater: -6.18 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -419\/31 or -13?\nAnswer: -419\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3320 (base 4) to base 11\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85373 - -145552. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2746.7 - -2747. What is the closest to k in 89, -0.3, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421479515*d**2 - 5*d**3 + 421479515*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-171)\/(-81)) + (-4)\/(-36)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 95\/24. Let s(n) be the third derivative of 0 + c*n**4 + 3*n**2 + 0*n**3 + 0*n. Let l(q) = 2*q. Give l(s(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2938143101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 195, 291, 367, 417?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-20)*1575\/(-3780))\/(3\/2).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 34*z**2 + 180*z + 54. Let s be a(-5). Solve 3*y = 3*n - 3, 0 = -52*y + 56*y + s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from pcjittijccpctpcpci?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422 = -3*n + 1577. Suppose 3*z = 4*h - 0*h - n, 0 = -2*h - 4*z + 198. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38830, 78060, 117698, 157744, 198198, 239060, 280330?\nAnswer: 322008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32011031 (base 4) in base 6?\nAnswer: -1123005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -5 (c) 12.079 (d) -146 (e) -4 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1234343.\nAnswer: -5\/1234343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -49. Let m be 1*267*267\/q. Suppose -4*c - k = -m, -5*c - 1609 = k - 11510. Round c to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -2. Suppose 3*n - 2*d + 607 = 0, -2*d + 587 = -3*n - 4*d. Let u = 203 + n. Solve -u*t - m = -4*m - 21, -l*t - 2*m = -9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o**(2\/7)*o)\/o*o)**(1\/20)*o**(2\/17)\/(o*o**(2\/13)) assuming o is positive.\nAnswer: o**(-26977\/30940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15.77 * 9559\nAnswer: -150745.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11302544, -11302547, -11302550?\nAnswer: -11302553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.1 + 49.89.\nAnswer: 67.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g + 2*d + 6, 4*d + 36 = 5*g. Let n(p) = 3*p**2 + 3*p**2 - g*p**2. Let i(k) = 15*k**2. Determine n(i(y)).\nAnswer: -450*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003107905 rounded to four decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - v + 9 = -28, 0 = -2*q - 2*v + 22. Let t = q - 5. Let x be (-25)\/(-20) - 2\/t. Which is the second biggest value? (a) -0.2 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 57, 129, 231?\n\"Answer: 15*w**2 - 3*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 + u - 1. Let d be m(1). Let v(r) = 7*r**2 + r**2 - 4*r**2 - 3*r**2 + 3*r. Give v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + 1.3. Let o = -7.8 + -139.2. Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 + 259*y - 432. Does 3 divide d(50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 3:08 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4459 - 4459.3. Suppose 2*v = -5*l + 4 - 2, 5*l + 4*v = 4. Let k = 0.7 - -3.3. Which is the closest to l? (a) k (b) -16 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 2*r + 5. Is z(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/60 + f**4\/12 + 56*f**2 + f. Give r(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445697084?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 e, 1 m, and 1 k when four letters picked without replacement from {m: 2, k: 1, u: 1, e: 4, f: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4076 - 4076 - 4*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k - 31*k = 23868. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v + 0*v)*(-3*v**2 + 4*v**2 - 3*v**2) + v**3 - v**3 - v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -1. Let y be 8\/(-10)*q\/8. What is the nearest to -0.1 in 3, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -86. Let u(i) = -3*i**2 - 1. Give u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 25. Suppose -j*d = -3*p + 31, d - 1 = -4*p + 2. Suppose 0 = -0*w + w - 5*y - 25, 4*w = p*y + 136. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155992 + -155966.4724. Let s = 1.5404 + d. Let a = -27 + s. What is a rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7379*j**2*n**3 - j**2*n - 48*j**2 + j*n - 2*j - 6195*n**4 - 5915*n - 5 wrt n.\nAnswer: -44274*j**2*n - 74340*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3+12121\nAnswer: 12124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4 - 1 + 13*m**2 in the form d + q*m**2 + w*m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/44*1605\/180. Which is smaller: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13.4 or 1?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2470000 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -7*s**5\/32 - s**4\/16 + s**3\/4 - 35*s**2. Suppose i(h) = 0. What is h?\nAnswer: -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -23. Let o be 22\/99 + (-14)\/d. Sort -1, -7, o in increasing order.\nAnswer: -7, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**8\/3780 - w**7\/630 - w**6\/810 + w**5\/90 - 8*w**3 - 67*w**2. Let p(s) be the first derivative of h(s). Factor p(n).\nAnswer: 4*n*(n - 3)*(n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-31)\/(-15) - -1. Let b be ((-4)\/30)\/((-14)\/252). Let d = m - b. Sort 0.06, 1, d.\nAnswer: d, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/(-45) + 2\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849101.2ng in milligrams?\nAnswer: 0.8491012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -83835?\nAnswer: -13\/83835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*-1002*(-2)\/3. Is 1 - k - (-2 - (-6 + 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 36 + 21)*(0*m - 3*m + 5*m) + (2 - 5 + 2)*(3 - 2*m - 3) + 0 + m + 0 - m - 3 + 3 + (-5 + 5 - 1)*(-2*m + 2*m + 2*m) to b*m + v and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 divided by 2500?\nAnswer: -7\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 7 = -4*z. Let m be (4 + z)*4*-5. What is the third derivative of m*y**3 - 160*y**3 - y**6 + y**2 wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 - 41*z + 12 + 27 - 18 as c*z + n and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 626. Let m(v) = 6*v + 2524. What is 11*b(q) - 3*m(q)?\nAnswer: 4*q - 686","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 160481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/12*2\/(-24)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011011001100 (base 2) to base 15.\nAnswer: 5584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:35 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 19*g**2 - 3*g - 62. Let q be h(-19). What is the nearest to -1 in 5, -1\/4, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8274 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 10:29 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -200697 (base 11) to base 14\nAnswer: -8598a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n - 100*n = 2*a + 24, 3*n = 3*a + 21 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 1777 - 1119 = 0. Suppose -a - 54 = -4*n. 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 -0.3, -0.1, -108, 4, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/11 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 + 150.14. Let n = -5.05 + o. What is n rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5446 - -5624. Solve t = 54*h - 254 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 625 - 355. Suppose 4*p + 286 - d = 0. Suppose 3*b + 15 = -2*b. Sort -13, b, p, 0 in ascending order.\nAnswer: -13, p, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40, 354, 1206, 2866, 5604, 9690?\n\"Answer: 45*a**3 - a**2 + 2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2750, -2745, -2730, -2699, -2646, -2565, -2450?\n\"Answer: t**3 - t**2 + t - 2751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h*q**2*t**3 + 3*h*q**2*t**2 + 3*h*q**2*t - 2*h*t**3 + h*t**2 + 2*q*t**3 wrt q?\nAnswer: -18*h*t**3 + 6*h*t**2 + 6*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 3. Suppose 3*z + 2*z - 120 = 0. Suppose 0 = -3*j - 15 + z. Give p(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 54149961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6 = 2*o, o + 2*u + 13 = 5*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let t(s) = -98*s - 101*s + 21174*s**2 + 365*s - 166*s. Determine t(b(n)).\nAnswer: 84696*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 - b + 2. Give c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3698449*l**3*m + 3*l*m + 37807*l - m wrt l?\nAnswer: 22190694*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - b + 1. Let t(y) = 4*y**3 + 8*y**2 + 11*y - 11. Let c(q) = 5*r(q) + t(q). Let p be c(8). What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 5*q**2 - 6*q + 7. Let b be d(6). Find the first derivative of b - 8 - 3 - 1 - s wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + 3\/(-6). Which is the third smallest value? (a) y (b) -3 (c) -5 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(506\/11)*2*11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21580363?\nAnswer: 7, 3082909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -145398*b**3 - 25590057*b**2 - 1125963696*b - 69696 = 0?\nAnswer: -88, -3\/48466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90*n**4*t**3 + 225*n*t**3 - 768760*t**3 wrt n.\nAnswer: 360*n**3*t**3 + 225*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -63*u**2. Let o(r) = -396752*r. Give o(f(j)).\nAnswer: 24995376*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 205*z**4 + 2*z**3 - 2*z + 1. Let c(u) = -409*u**4 - 5*u**3 + 4*u - 2. Let r(m) = -2*c(m) - 5*j(m). What is the second derivative of r(i) wrt i?\nAnswer: -2484*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b*k**3*z + 3*b*z - 3990*k*z**3 + 10602*z**3 wrt k?\nAnswer: -18*b*k**2*z - 3990*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 294*g**5 + 6978818*g**4 - 17615390*g**3 - 7358818*g**2 + 13816536*g - 3418560 = 0.\nAnswer: -23740, -1, 3\/7, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1183 by -252.\nAnswer: 169\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 18*k. Let g(a) = -29684*a**2. Determine g(s(c)).\nAnswer: -9617616*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 7 (b) 2\/9 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.3, -4 in decreasing order.\nAnswer: 0.3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 5. Suppose -j = -3*s - 9, -5*s - 19 = -s + j. What is the units digit of h(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*(-4 + 4). Let t(c) = c**3 - 3*c**2 + 3*c - 3. Let m be t(2). Let d = -9 + 6. Put j, m, d in decreasing order.\nAnswer: j, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 17. Suppose 18*j - 160 = 2*j. Let z be x(j). Let i = 2\/9 + -76\/99. Which is the closest to 1? (a) -4 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 774354122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-62238)\/(-23)*(-4)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -48, 27, 2, 3, 12, 0 in increasing order.\nAnswer: -48, -1, 0, 2, 3, 12, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:29 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*c - 718 = 1002 + 980 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -347267554?\nAnswer: 347267561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 11*t - 2. Let m(d) = 3*d**2 + 33*d - 7. Let q(u) = -3*m(u) + 8*s(u). Is 11 a factor of q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccll?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -7. Let h be 2\/3*3\/r. Let i = 4.01 + 0.99. What is the nearest to h in 0, i, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 3768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*h, -3*g - 2*h + 22 = 2*g. Suppose -g = n - 15. Suppose z + 0*z - 33 = 0. What is the remainder when z is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.578436 and 2.\nAnswer: -1.156872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 7*i**4\/12 - 7*i**3\/6 + 2*i**2 - 5*i. Let s be p(5). Suppose 5*j - s = 2*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j - 19*j - 25675 = 0. Is 79 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -23*x**2 - 643*x - 50436. Let q(p) = 20*p**2 + 642*p + 50454. Let l(o) = 6*b(o) + 7*q(o). Factor l(v).\nAnswer: 2*(v + 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 2. Let b be u(-2). Let j be 4\/2 + (-6)\/b. Suppose -14*v - 51 - 84 = -41*v. Solve 0 = j*y + 4*f - 0 - 11, -y + 8 = -v*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r - r)*(4*r**2 - 5*r**2 - r**2) + 317*r**3 + 267*r**3 - 155*r**3.\nAnswer: 425*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1573) - ((sqrt(1573) - (0 + sqrt(1573))) + -1))**2.\nAnswer: 22*sqrt(13) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 13*b**6\/6 + 3*b**2\/2 + 51*b. What is the first derivative of l(p) wrt p?\nAnswer: 260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lggl when four letters picked without replacement from {l: 7, g: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 310 = 0. Suppose 4*n + 5*a = x, 0 = 4*n - a + 25 - 99. Let f = 27 - n. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*x = 4046 - 8077 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u, 5*u = 2*n - 3*n - 1. Let v be (3 + 2*-4)*n. Solve 4*j - 4*o = v*j + 22, 5*j - 4*o = 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(3) - sqrt(57))\/sqrt(3) + -2 + (-1*sqrt(2736) + -5)**2.\nAnswer: 120*sqrt(19) + 2759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i**4 + 24*i**2 - 1\/10*i**5 - 5\/48*i**8 + 0*i + 0 + 0*i**3 + 0*i**7 + 0*i**6. What is the third derivative of j(y) wrt y?\nAnswer: -2100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -31\/1483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2917759*r**3 + 1 + 2917718*r**3 - 5835452*r**3.\nAnswer: 25*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5. Let s(k) = 11. Let m(l) = 6*s(l) - 13*z(l). Let x(o) = -o + 2. Let y(b) = -5*b**2 - b. Let g be y(1). What is g*m(v) + 3*x(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 - 13*c**3 + 13*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -19*s - 1. Let n be l(-1). Calculate the highest common divisor of n and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1661155910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*f - 221*f = -113*f. Factor 2\/5*t**2 + 2\/5*t + f.\nAnswer: 2*t*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 282.0953ml?\nAnswer: 0.2820953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 60. Suppose -5*f + 15 = 5*v, -5*v + 11 = -0*f + f. List the prime factors of (f + 0)*t\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) 2 (c) 4\/9 (d) -1.9 (e) 1\/2 (f) -297\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - b. Let g = 3066 + -3062. Let l(d) = -3*d**2 + 4*d - 7. Calculate g*u(h) + l(h).\nAnswer: h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 12, k: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0 + 0*c**4 - c + 1\/140*c**5 - 11*c**2 + 0*c**3 - 3\/280*c**6. Suppose s(v) = 0. Calculate v.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(d - d + 2*d)*(-3 + 5 - 3)*(1 - d**3 - 1).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 5*q - 3. Let f be 4\/(-2)*(-12)\/8. Let l be x(f). Solve 2*t - a + 1 + l = 0, -3*t = 4*a - 26 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -34. Let d(r) = r**3 - 6*r**2 - r + 6. Let j be d(6). What is the biggest value in -0.2, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h. Let y be (1 - 0)*(h - -1). Solve -y + 3 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10367265.\nAnswer: 3, 5, 691151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293859.78 months to years.\nAnswer: 24488.315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, 0, -1067\/4, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -346 in -2\/7, 0, 4, -0.2, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 3, q: 11}. What is prob of sequence qzh?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -546 - -534. Does 11 divide -123*(236\/z - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 10 = -3*n, 3*n - 5*o - 2 = -3*o. Suppose -4*w + 5*i - 7729 = -2162, -3*w + 4*i - 4175 = 0. Let y = w - -1396. Sort -5, n, y in decreasing order.\nAnswer: y, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (-19372)\/(-638))\/(0 - 1\/11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 35. Let t = g + -9. What is the tens digit of t*-2*42\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 51, -1, 9 in ascending order.\nAnswer: -9, -1, 9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -796.3 - -851. Let d = c + -54.69322. Round d to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -851*k + 848*k = -627 - 327. Calculate the greatest common factor of 96 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -2 + (3 - (24 + -14))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 2. Let p be u(-3). Suppose -4*s + 22 = -y - 10, 2*s - 196 = 5*y. Is ((-2)\/p)\/(5\/y) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -455316 and -2.\nAnswer: 910632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51872, 48017, 44162, 40307, 36452, 32597?\nAnswer: 28742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 5*p**2 - 23*p + 29. Let r(x) = -12*x**3 + 66*x**2 + 297*x - 378. Let f(o) = 2*r(o) + 27*w(o). Let f(n) = 0. Calculate n.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 78*a**2 - 437*a - 17. Determine q(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 4*p**2 + 13*p - 6. Give m(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/(7\/(-147)). Suppose 3*v = t - 75, -37 - d = -t - 3*v. Suppose 5*j = t - 13. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725*d = -698*d - 1474227. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -889? (a) 1 (b) 7 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) - (-85)\/25. Let y be 3*2\/(-4)*-2. Let u = t + y. What is the remainder when 16 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-39 - -9) - 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 339 - 459. Let d = m + 124. Does d = -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219*k**3*t**2 - k**3*t + 2*k**2*t + 3*k*t**2 + 4*t + 16 wrt t?\nAnswer: 438*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -2, 3, 0, 23, -2.7, -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 390\/257 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 12:31 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39064, -39062, -39060, -39058, -39056, -39054?\n\"Answer: 2*z - 39066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-14)\/(-6)*3. Suppose 5*j = -4*y + 7 + 71, -a*j = 2*y - 38. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318696 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463321?\nAnswer: 463321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 1\/6, 4\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-3)\/(-12)) - -10. Let b(j) = j**2 - 13*j - 5. Is b(h) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1330 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4443404.11 - 2.1?\nAnswer: -4443406.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13\/y**(-18)*(y*y\/y**(-37))\/y**(-9\/2))**(-46) assuming y is positive.\nAnswer: y**(-3427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-6)\/9 - -4. Let s = 0.62 - 0.12. Which is the closest to -0.1? (a) -1\/3 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 36.622701ms?\nAnswer: 0.0000101729725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.14, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**3\/3 - v**2\/2 - 2*v + 1. Let a be j(-3). Let c = a + -30. What is the common denominator of c and -151\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4\/9 - 41560*p**3\/3 + 498676*p**2\/9 - 207776*p\/3 + 249328\/9 = 0. Calculate p.\nAnswer: 1, 2, 31166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -84\/13, 71\/2, 5, 19.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 2 + 1 + 3*o + 0*o. Suppose 1 = 4*g - 5*j - 11, j = 2*g. Let q be (-8)\/6*(-3)\/g. Calculate k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-2)\/(16\/6)). Suppose x + r = -4*s, -2*s + x + 4 - 6 = 0. Let l be (0 - 3) + (s - -3). Which is the closest to -2\/3? (a) 1\/2 (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16399 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -5) + 1 + 0. Suppose 3*x = 2*x + 3, 3 = -f*p + 4*x. Let o = 307 + -287. Solve -p*d = d - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 2*i - 14. Let x(u) = -5*u - 5 + 4*u - 4*u**2 + 9*u**2 + 6*u**2 - 9*u**2. Calculate -4*q(l) + 11*x(l).\nAnswer: 2*l**2 - 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1260) - (sqrt(1260) + 2*sqrt(1260)*-5)))\/(sqrt(270)\/((3*sqrt(36))\/sqrt(6) - sqrt(6))).\nAnswer: 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -82*(-85)\/102*(-138)\/(-230)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 + 5*a**2 - 10*a - 15. Let p(j) = 16*j**3 - 21*j**2 + 50*j + 76. Let z(c) = 2*p(c) + 11*y(c). What is z(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568098 and 1694911.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -15. Which is the closest to 2\/9? (a) 1 (b) -2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208 + -204. Let i be (-2 + r)\/1 - 0. Factor 0 - 1\/5*x - x**i.\nAnswer: -x*(5*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -44.2. Which is the nearest to h? (a) -2 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + (-2 - (-64 - 3 - -30)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -2*a**3\/3 + 1. Let k(w) be the third derivative of -w**5\/30 - w**4\/24 - 9103*w**2 - 2*w + 1. What is k(o(r))?\nAnswer: -8*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 855*d**2 + 606*d - 1. Calculate the remainder when r(-1) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:25 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 52*y**2 - 27 + 17)*(-6*y**2 + 4 - 4).\nAnswer: -312*y**4 + 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-7)*h**(-3\/52)*h*h*h*h**(-21\/8)*h*h*h\/h**39 assuming h is positive.\nAnswer: h**(-2879\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -94. Suppose -g + 11 = -x*f, -3*g = 4*f + 7 + 8. Let o(c) = -7*c**3 + 5*c**2 - 6*c - 2. Let u(n) = -n**3 + n**2 - n. Determine g*o(q) + 6*u(q).\nAnswer: q**3 + q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 4*x - 7. Let n(b) = -8*b**2 - 12*b + 18. Suppose 2*m + 4*r + 14 = 48, -4*m = -2*r - 38. Let y(h) = m*p(h) + 4*n(h). Determine y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10*g = 808, -16*k + g - 211 = -17*k. What is the remainder when 468 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - 2\/(-42). Let g = -0.05 + 0. Let r = -2.05 - g. Sort 4\/3, r, p.\nAnswer: r, p, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -761*l**4 - 851*l - 2*l**3 - 5*l**3 + 96*l**4 + 8*l**3 - 17*l**2 + 15*l**2 wrt l?\nAnswer: -15960*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 0, 69 in ascending order.\nAnswer: -4, -3, 0, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25421527.\nAnswer: 191, 133097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 15) to base 11\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31342 is divided by 304?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101000 (base 2) to base 5\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 1 g when three letters picked without replacement from yggnynnnigyng?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(-2*b**2 + 0*b**2 + 4*b**2)*(0*b - b + 0*b)*(2*b - b + 3*b).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l - 186. Let u be s(-15). Suppose 2 = -u*n + 47. Put -3, n, 8, 0 in descending order.\nAnswer: 8, n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18865041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5151\/19 - -271. Let z be (48\/(-11))\/2 - -2. Which is the smallest value? (a) -5 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -31, -249 in ascending order.\nAnswer: -249, -31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 130. Suppose -12*o = -8*o + m. Let c = o - -75. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 57.\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 225 - 156. Let b = k - 63. Suppose -i + 161 = b*i. Calculate the highest common factor of i and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 8:27 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(1 + (-7)\/2). Let o = g + -6. Is o bigger than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0567 or 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6509494411?\nAnswer: 7, 19, 67, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 24.173. Let s = 418.7135911 + -418.5406. Let n = p + s. Round n to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 341.092 to zero decimal places.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000291598752 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 2215 - 1995. Let y = -22 - -61. What is the remainder when y is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54107529 and -54107529 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 4. Let u be t(0). Suppose 5*v - 54 = -3*j + 3*v, u*j + 3*v = 71. Suppose 3*c - c = 4*w + 20, w - j = -2*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.2522918 months?\nAnswer: 0.0010435765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2435*k + 722. List the prime factors of m(4).\nAnswer: 2, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 1626971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 167*t**5\/10 + t**4\/24 + 20*t**2. Is l(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 9, -0.3, 4 in decreasing order.\nAnswer: 9, 4, -0.3, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 4)*(-p**3 + p**3 - 3*p**4) + (3*p**2 - 7*p**2 + 2*p**2)*(-2*p**2 - 1 + 1).\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -y - y - 54, 0 = -5*r - y - 57. Let i be (-100)\/r + -3 - 2\/6. Suppose -i*d - 2*h + 45 = -7*h, h = 5*d - 25. Solve -n - 1 = d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 1. Let x(l) = -10*l + 4. Let a(o) = 14*r(o) + 3*x(o). Suppose -12 = 5*p - 2. Determine a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000274769228 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*n - 19, 3*y + 18 = -3*n - 6. Let u be 3\/(y\/(-2) - 1). Suppose u*o - 6 = -2*g, g + 2*o - 13 = 3*o. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 371 - 549 + 2*l**2.\nAnswer: 2*l**2 - 178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 3. Let l(c) = -c**2 + 6*c - 6. Let q be l(4). Let u = q - 0. Determine f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1684 + 3811 + 42*x - 2129.\nAnswer: 42*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (99 - 14*c - 99)*(-4 + 0 + 3) in the form x + f*c and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {i: 3, a: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o, -3*f - 480 = o - 79. Let b be (-8)\/(-3)*f\/36. Let q = b - 40. What is q rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/5744 and 57\/3982028.\nAnswer: 15928112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2523 and 29406.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 219 and 68.711?\nAnswer: 15047.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -211ab?\nAnswer: -211b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.02, 0.2, 4, -10\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-6 - -1 - (15 + -19 + 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482800 rounded to the nearest 10000?\nAnswer: 1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2892394, 5784787, 8677180, 11569573?\nAnswer: 14461966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.09 and -3111359.699.\nAnswer: -3111359.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10592 divided by -4\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9f - -3?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 19*l + 22*l - 152, 5*r = 5*l + 860. Is 33 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 7) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 - 57*v**2 - 190*v + 600 = 0. Calculate v.\nAnswer: -5, 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3198111 to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2600790 is divided by 374.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28951.36 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -993436296 divided by -248359074\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let q be 10 + -6 - ((-114)\/10)\/(-3). Which is the second biggest value? (a) q (b) w (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/(w\/(w**6*w)))\/((w**(-3)\/w)\/((w**(-1)\/w)\/w))*(w\/w**0)**7\/((w\/w**(-2))\/(w\/w**(-1))) assuming w is positive.\nAnswer: w**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12607, 5704, -5799, -21902, -42605?\n\"Answer: -2300*h**2 - 3*h + 14910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 1:44 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -23)*6\/8. Suppose 1 = d - 2. Suppose 0 = d*a - w. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -276, -261, -236, -201, -156?\n\"Answer: 5*h**2 - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -233*y**3 - 40*y**2 - 4?\nAnswer: -1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 4*t + 2. Let p be j(-4). Suppose -p*x + 352 = -4*l, 0*l - 3*l + 380 = 2*x. Suppose -229 - x = -7*d. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016182790278 rounded to five decimal places?\nAnswer: -0.01618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -16*b**2 + 2*b - 19. Let s(h) = -2*h**2 - 2. Give 7*s(r) - t(r).\nAnswer: 2*r**2 - 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37*1\/5 + 768\/1920?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/6)\/((t**16*t)\/t*t) assuming t is positive.\nAnswer: t**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14974979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26973 a multiple of 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320618.\nAnswer: 2, 160309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 16*a - 14*a)*(-1 + a - 6*a + 2*a).\nAnswer: 84*a**2 + 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10336109179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38608824?\nAnswer: 2, 3, 73, 22037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -t, -4*y + 5 + 6 = 5*t. Let d(m) = 1750002*m**3 + 3*m**2 + 2*m + 1. Let f be d(t). Round f to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 3*z**2 - z**2)*(-7*z - 2 + 2).\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -55*l + 772. Give a(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*g**2 + 290*g**2 + 83*g**2 to the form b*g + q + o*g**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 112 = -2*a, 3*a - 139 = -f - 4*f. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -12. Let m = l + -5. Solve -2*v + 0*d = 4*d + 4, 0 = -v - m*d - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 19509147 = -0*i. Let t = -1257021 - i. What is t rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 11.994. Let j = x + -0.03. What is j rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*4\/(-24))\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u + 0*u = 40 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -6 (b) 306 (c) 0.4 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 7*s**2 - 9*s. Let y be n(-2). Which is the smallest value? (a) y (b) 0.29 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 12*m + 95. Suppose -m*p - 5*o + 80 = 0, 4*o - 7*o - 24 = -3*p. Suppose -p = -7*w + w. Solve w*z - 5 = 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + 80427*t - 1126755. Give q(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 7*v**2 - v + 5. Let u = -36 + 37. Let t be (4 + u - 4)*5. Suppose 0*f + t*f = 35. Determine b(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/12)\/(2\/6). Let b be 7 + k\/2 + 4. Let v(o) = -286665*o - 15. Let r be v(b). What is r rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -492.8 - -493. Which is the second smallest value? (a) 0.03 (b) d (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3006.4058 rounded to 0 dps?\nAnswer: -3006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24978138 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 34, 1\/5042?\nAnswer: 1\/5042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3113 = 2*h - 5*f, 4*h + 7*f - 9*f - 6234 = 0. What is h rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 + 56*f - 175. Let k(z) = -7*z**2 + 72*z - 234. Let o(b) = -9*g(b) + 7*k(b). Let w(t) = -5*t. Determine w(o(j)).\nAnswer: 20*j**2 + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:13 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64, 178, 308, 460, 640, 854?\n\"Answer: j**3 + 2*j**2 + 101*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 - -169. Let c = 3 - -2. Sort -4, c, n, 0.1 in ascending order.\nAnswer: -4, n, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*1\/((-5)\/(-6)). Let w = u - -15. Let q be (2\/6)\/(3\/w). Is 1\/6 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30297\/5 less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 530570773?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 4*z**2 - z**2 - 3 + 3 - z**2 + (2*z + 2 - 2)*(-1 + 1 - z) + 2 + z**2 - 2)*((-z + 0*z + 2*z)*(-1 + 0 - 1) - 189*z - 1 - z + 44*z).\nAnswer: -148*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-9))\/((-1)\/(-3)). Let k be 26*(5\/(-4))\/1. Let x = -32 - k. What is the second smallest value in v, 2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 146 = -522. Let v = -95 - m. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73500 a multiple of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(4\/15)*w*w*w**(-25)\/w assuming w is positive.\nAnswer: w**(-349\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -5*c. Suppose -6 = 16*r - 19*r. Suppose 0*z + v - 3 = 4*z, -r*v - 16 = 3*z. Put 0, -9, z, c in descending order.\nAnswer: 0, z, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 - 1594\/11. Which is the smallest value? (a) 1\/28 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(13\/3)*b**3*b*b assuming b is positive.\nAnswer: b**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*b + 13*b**2 + 4 - 7 - 294*b**3 + 143*b**3 + 153*b**3 to the form q*b**2 + x*b + m + h*b**3 and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2482666?\nAnswer: 7447998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -73976, 4, 2, -3, 99 in ascending order.\nAnswer: -73976, -3, 2, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*m - f, -2 = 5*m + 3*f. Let r(v) = -9*v**m + v**2 - 7 + 7*v**2 + 11*v. What is the tens digit of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x. Suppose 12 = -4*t + 32. Let v be q(t). Differentiate -5*z**4 + 2 - 4*z**4 + v*z**4 + 2*z**4 wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f + 14 - 17\/3*f**3 + 15\/4*f**4 + 0*f**2. What is the third derivative of v(a) wrt a?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, d: 6}. Give prob of picking 2 x and 2 d.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 66471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 522, 3, 70, -0.01, -6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4428256 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 41 = -135. Sort 0, 1, p in increasing order.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let w(p) = 1 - 3 - 4*p + 2 - p**m. What is w(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 (base 13) in base 12?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -33. Let c be (4\/2)\/((-4)\/(-38)). Let b = c - d. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - o + 11*o = -39*o. Solve o = -11*h - 9 - 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -32*d**2. Let i = -999 - -997. Let m(h) = -4*h**2 - h**2 - 3*h**2. Let q(p) = i*u(p) + 9*m(p). Let n(b) = -2*b. What is q(n(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0 + 0*x + 3*x - 2*x - 1. Let s(n) = -n**3 + 7*n**2 - 5*n - 3. Let k(a) = 6*a**2 + a - 1. Let v be k(1). Let l be s(v). What is j(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1305, -1231, -1099, -903, -637, -295?\n\"Answer: a**3 + 23*a**2 - 2*a - 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 5*t - 42. Let k be -5*((-9 - -10) + t\/5). Solve 2*p + 0*p - 3*d - k = 0, -d + 10 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f - 58 = n, 2*f = -4*n - 202. Let x = n + 84. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1044202805 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-3 + 4 - 7) + 4 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 + -149. What is the second biggest value in 30, 1, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/359 and -3\/5?\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*p = 8*p + 25, -u + p = -9. Suppose -166 = u*b - 481. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -14 - (-5 - (-7 - (-1 - 12))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from bzzhhzzzzgzzz?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 times -34\nAnswer: 149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - b**2 - 115*b**3 + 106*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338911.\nAnswer: 227, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 11. Let c be s(7). Factor 2*w**3 + 5*w**2 + 2*w**3 + 4*w + w**2 - 2*w**4 + 3*w**c + 1.\nAnswer: (w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 51*t**2 + 69*t + 10. Determine g(24).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.3. Suppose -5 = 5*z + 5. Is z at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-35) - 102\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*o = 58, 51 = -4*f - 313*o + 318*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 + 12 = 0. Suppose 3 = -5*b + 93. What is the smallest common multiple of -12*3\/(q - 4) and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*s - 19 - 11, b - 8 = -3*s. Let q(z) be the first derivative of -9\/4*z**4 - 3 + z**2 - z - 1\/3*z**3. Give q(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 1019*q - 1058*q + 200 + 2117*q.\nAnswer: 2*(q + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - 0.25. Let d = -0.1 - t. Let i = 1.68054 + -2.08054. Which is the nearest to -1\/2? (a) i (b) -2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1227 = -6*s + 3135. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {j: 1, v: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3*m**2 - 2077*f**3 + 19618*f**2*m**2 + 3*f**2 wrt m?\nAnswer: -4*f**3*m + 39236*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**5 - 1614*x**4 + 17385*x**3 - 41580*x**2 - 42444*x + 18144 = 0. Calculate x.\nAnswer: -1, 1\/3, 6, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-286)\/(-3) + 1\/((-21)\/(-14)) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2 - 120*d - 1800 = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, 53, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -14. Let r = -2.064 - 0.526. Let u = -0.41 + r. What is the third biggest value in -0.3, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s = -29*s - 1057 + 152 - 769 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s - 3*u = 97, 12 = -4*u. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 168?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 2527.\nAnswer: -2526.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4926)\/(-2462) - 2)\/(-1). Let s = 1235\/4924 + p. Which is the nearest to -2? (a) -1\/5 (b) s (c) -3\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 9*n**2 - 4*n + 13. Let y = 11 + -20. Let h be t(y). Suppose -5*x + 86 = -h. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17549 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 35 = 2*u. Let j be (6\/(-9)*9)\/(-2). Let o(n) = -8 + 2 - 4*n + j*n. Let f(l) = 2*l + 11. Calculate u*o(d) + 4*f(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 77 (c) -1\/3 (d) 2 (e) -9 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 221337 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*sqrt(468))**2 - sqrt(468)) + 0 - ((sqrt(468) - ((1*sqrt(468))**2 + 3 - sqrt(468))) + sqrt(468))*-3.\nAnswer: 48*sqrt(13) + 6076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*(2*sqrt(99) - sqrt(99))*4*-2)\/((sqrt(36) + sqrt(36) + sqrt(144)*5)\/(1*sqrt(144) + sqrt(4))).\nAnswer: -28*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/9 + 1088*v\/9 - 147968\/9 = 0. Calculate v.\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**3*m**2 - 36768*i**2*m**2 - 2830*m**2 - 4*m + 2 wrt i.\nAnswer: -15*i**2*m**2 - 73536*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 9*z**2 - 56 + 5 - 58 - 73 in the form g + v*z + p*z**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184844\/905 at most as big as 1309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 i when four letters picked without replacement from {i: 4, x: 1, g: 1, v: 10, n: 3}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83736734?\nAnswer: 2, 67, 103, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -27. What is the least common multiple of 10 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 927, 936, 951, 972?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 1016223587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323606?\nAnswer: 2, 239, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-1)\/sqrt(10))\/sqrt(10).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*((-2)\/4 - (-7)\/(-7)). Suppose -22 = -3*r - 13. Determine t so that 22*t**2 + t + 7*t - 8*t**3 - k*t**r + 0*t**4 - 7*t**4 = 0.\nAnswer: -4, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 * -109\nAnswer: -359.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1239989?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(2*x - 2*x + x)*(4 + 53 + 10)*((0*x - x - x)*(-4 + 3 - 1) + 5*x + 0*x - 3*x + 3*x + x - 5*x).\nAnswer: 335*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.9 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 6. Let a be y(5). Let l be (1\/3)\/((-1)\/a). Suppose 2*o = 4 - 0. What is the greatest common divisor of l and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 11 = 1. Let a = -8 + g. Sort 3, -4, a.\nAnswer: -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4779137, 9558276, 14337415, 19116554, 23895693, 28674832?\n\"Answer: 4779139*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = v + 3*i + 5, -17 = -5*v - 2*i. Suppose 5*j - 8*j - 349 = -5*l, -3*l - v*j = -195. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:48 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -16. Let p = s + -11.1. Which is greater: p or -0.8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/4 - 2938*b**3\/3 + 4957*b + 2179. What is the first derivative of l(v) wrt v?\nAnswer: 3*v**2 - 5876*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:30 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16104, 64411, 144924, 257643, 402568, 579699?\nAnswer: 789036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from {q: 10, z: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3382, 5795, 8208, 10621, 13034?\n\"Answer: 2413*x + 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198708 is divided by 150?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:19 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3 + 4\/3*l**4 - 5\/3*l**2 - l + l**3 = 0 for l.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/25 - (-5214)\/15. What is the third derivative of -22*d**5 - 363*d**2 - 14*d**5 + n*d**2 wrt d?\nAnswer: -2160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24, -25, -20, -3, 32, 91, 180, 305?\n\"Answer: r**3 - 3*r**2 + r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/51*2*(527\/62)\/((-1)\/3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51245*q**3*y + 1853*q**3 + 21*q**2*y + 2652344*q**2 + 2*y wrt q.\nAnswer: -307470*y + 11118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1913*d + 839*d + 902*d - 6192 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-24)\/30))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + 0. Solve 5*h - 6*h - 5*j + k = 0, -h + 4*j = 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1133737409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/30)\/(5 - (-18074)\/(-3612)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 0 - 725*n + 3*n**2 + 731*n + 2*n**3 + 3*n**3 + 5. Let i(w) be the first derivative of -w**4\/4 - w**2\/2 - w + 1. Calculate -a(l) - 6*i(l).\nAnswer: l**3 - 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2243 - d4d?\nAnswer: -3091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-180)\/(-48))\/(-15))\/((-86)\/(-16))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 21 = -4. Let f = -3 - v. Do 2 and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 73 = q, -4*q + 6*s + 257 = 3*s. Let k be 3\/(-4) - q\/16. Let z(p) = -p**2 - 4*p + 5. Give z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**(2\/31)*c*c)\/c*c*c\/(c**(-1\/2)*c)*c assuming c is positive.\nAnswer: c**(407\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 14. Let i = 88 + -82. Let g be d(i). What is the third derivative of -26*b**3 + 233*b**g - 244*b**2 - 14*b**3 wrt b?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.083 (c) -185 (d) -3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 10:28 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0 - 7 + 5 + 4182*a + 4. Let q be i(-11). Round q to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 11 = -o + 3*r, 3*o + 5*r + 5 = 0. Let x = 617 + -3088\/5. Which is the nearest to x? (a) -2 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a**2 - 4*a**2 - 4*a**2)*(1593 - 2298*a - 1593) to m*a**2 + l*a**3 + s + g*a and give l.\nAnswer: 4596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 197, 2\/11, -52, -2\/111, 5?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -52690 times 0.2\nAnswer: -10538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -885.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 + 4*j**2 + 2*j. Let w(l) be the first derivative of -l**4\/2 + l**3 + l**2\/2 + l + 41. Give -4*w(m) + 3*x(m).\nAnswer: -m**3 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 715044068 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (395331 + 20*r**2 - 395331 + 8*r**3)*(4 - 7 + 3 + 11*r) as o*r**4 + l + n*r**3 + d*r**2 + a*r and give n.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*h = 687*h + 5124 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*(t*t*t**(-2)\/t)\/t*t))**(2\/13)\/(t**(-13)*t**(1\/8)*t*t))**(4\/7) assuming t is positive.\nAnswer: t**(87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126679.\nAnswer: 7, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-5 + 9)) + 2 + 2. Let k(i) = i**3 + 6*i**2 - i - 1. Let x be k(-6). Suppose u = w - x + 1. Solve 2*v - 4*g = g + 11, -w*g = -3*v + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1be82 - bd?\nAnswer: 1bdc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4785.8 less than or equal to -157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 100 = 5*j, 3*j = -4*z + j - 86 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 24 - 24 + (3 - 3 - 1)*(-3*c - 2*c + 3*c) + 2*c + 0 + 0 - 11*c + c - 16*c + (5 - 2 - 1)*(-6*c + c + 6*c) as h + p*c and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j - 1207. Let h(o) = -15*o + 1204. What is 5*h(c) + 6*n(c)?\nAnswer: 3*c - 1222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 995051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 29082?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36820597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**3\/6 - 115*g**2\/2 + 115*g - 158. Let q(u) be the first derivative of s(u). Let v(z) = z**2. Give v(q(k)).\nAnswer: k**2 - 230*k + 13225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = 444*q - 508*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -125234 (base 9) in base 4?\nAnswer: -102203221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3660 and 940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**11\/g)*g*g*g)\/(g**(-9)*g) assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-7 - (-4 - (1 + 3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let b(y) = y**2 - 15*y + 12. Let d be b(6). Let r = -17 - d. Let c(f) = 25*f + 3*f**2 - r*f. Calculate q(c(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pirb when four letters picked without replacement from {r: 1, b: 2, i: 1, t: 2, p: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/55 - -3649\/220. Find the common denominator of 213\/42 - 3\/(6 - 7) and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -6, 0.4, 5 in increasing order.\nAnswer: -6, -1\/3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*a + 64*a + 10948. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*i + 2*i. Suppose 42 = 2*v - i. Let l = v - 17. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let z(t) = -2*t**2 - 12805. What is z(a(k))?\nAnswer: -8*k**2 - 12805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 1\/60*q**5 - 1\/6*q**4 + 1\/6*q**3 + 2*q**2 + 0 + 0*q. What is the units digit of o(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:41 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4167155.203?\nAnswer: 4167156.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from mkpmmkzkymmmzykxyz?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 - 809040*w**2 - 1618052*w + 2427096 = 0. Calculate w.\nAnswer: -202258, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -77. Find the third derivative of -122*a**6 - 14*a**2 + 243*a**v - 107*a**6 wrt a.\nAnswer: 1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -1\/12*v**4 + 1\/12*v**5 + 0 - 1\/120*v**6 + 2*v**2 + 0*v + v**3. What is the tens digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319766, 319818, 319906, 320030, 320190, 320386, 320618?\nAnswer: 320886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 241 = r, -4*r + 3*j = -0*r - 899. Let i be ((11 - 6) + -6 + -90)*(-6)\/21. Calculate the highest common divisor of i and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y + 87. Let n be p(-16). Let c(s) = 7*s + 62. Let r be c(n). Sort 5, 3, r in increasing order.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = 3*w + j, -4*w - j + 4*j = -371. Let a = -128 + w. Let r be a\/(-26) - (-58)\/4. Solve 13 + 7 = -3*m - 5*q, -4*m + r = -4*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 2839\nAnswer: 56\/2839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(1\/4)*a)**(3\/4)\/(a*a**1*a**(1\/2))*((a*a**(2\/19)*a)\/(a\/a**(-2\/7)))**(3\/10) assuming a is positive.\nAnswer: a**(1951\/10640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 0.4, -0.2, -1, 3\/5159, 2\/43?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 149726\nAnswer: -4\/74863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 0 - (-2 - -2). Let y be -1 - -30 - 3*h. What is the greatest common divisor of 80 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p\/p**(-20))*p*p**(1\/27) assuming p is positive.\nAnswer: p**(-485\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5368560*d**3 + 4*d - 120829453?\nAnswer: 16105680*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (294\/35)\/(-6) + -2 + 3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 7, -6, -35, -86, -165, -278?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.044 + -0.126. Let h = 0.03 - z. What is the nearest to 0.2 in 5, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931225.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -7 - 12) + (-6 - 19)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 242 - 240. Let z be ((-25)\/10)\/(-4 + 9\/k). What is the smallest value in -3, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-2 - 33\/42))*-2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 12 + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 + p. Let b be ((-4)\/(-6))\/(6\/(-9)). Let m be t(b). Suppose -4*z + 2 = -2*j, m*z + j = 4*j + 3. Solve z = -5*q + 5*g, 3*q - g = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**3 + 47*p - 4 + 4 - 54*p.\nAnswer: 11*p**3 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-a - a + a)*(-49 + 61 + 294).\nAnswer: 306*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + 2110\/4 + 0. Calculate the greatest common divisor of x and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 96 = 5*r. Suppose 3*k + 31 = 4*o, 1 + r = 4*o - 5*k. Let f = o - -10. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 2*s + s. Suppose -4*j + s = -182. Is j a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*g + 2*g. Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-four fifths of a milligram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(156) + (sqrt(156) - 6*(4*sqrt(156) - sqrt(156))))\/(1*-3*sqrt(12)).\nAnswer: -5 + 16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 37691 divided by 1\nAnswer: 37691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/70 - (-536)\/14?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -527 - -1038. Let p = u - 511.0854. Round p to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4098*d = 4131*d - 792 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12919552, 25839141, 38758730?\nAnswer: 51678319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1.2. Let b = g + -1.2000052. What is b rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - v**2 + v + 1. Let i be b(0). Let s(u) = -3*u + 2. Let x(h) = 1. Determine i*s(g) - 2*x(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r = 3*p + 354, 0 = 2*r - 3*p - 138. Let i be 4\/(-20) + (-41)\/(-5). Calculate the greatest common factor of r and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**5\/60 - 7*f**4\/12 - 5*f**3\/2 - 20*f**2. What is the units digit of h(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22284 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37432676.\nAnswer: 2, 9358169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115442 divided by -2.\nAnswer: -57721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 475. Suppose -3*g + 4*b = -459, -b = -3*g + b + j. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 + 20*y**2\/3 + 2*y\/3 - 20\/3.\nAnswer: -2*(y - 10)*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i + 80. Suppose v - 68 + 86 = 0. Is i at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let o(b) be the third derivative of b**4\/4 - b**3\/6 - 237*b**2. Suppose 0*z = -z + q - 2, -2 = -5*z + q. Give z*o(g) + 5*x(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069 - 512 = 82*n - 509. Solve -10 = -z - 2*j, -j = -4*z - n + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*y**3*z - 872*y**2*z**2 + 8255*z**2 with respect to y.\nAnswer: -48*y**2*z - 1744*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-45) - (0 + 0). Factor 0 - v*n**3 + 4\/9*n + 2\/9*n**2.\nAnswer: -2*n*(n - 2)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q**3 + 39*q**3 + 75*q**3 + 29*q**3)*(2*q**2 + 3 - 2 + 5*q**2).\nAnswer: 931*q**5 + 133*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 387547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5797893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 579994.\nAnswer: 2899970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n - 84*n + 17*n in the form l + g*n and give g.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -301678?\nAnswer: -301676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13190*g - 184608. Calculate y(-14).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40682 is divided by 40681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 11. Let o(j) = -14*j**2 + i*j - j - 3*j - 1 + 15*j**2. Let s(m) = 3*m**2 - 2 + 4*m - 1 + 3*m**2. Calculate 4*o(f) - s(f).\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnznrrlann. Give prob of picking 1 n, 1 a, and 1 z.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h - 14*h + 6*h + (3 - 1 - 4)*(0 - 2*h + 0) + 2*h - 3*h + 0*h + 2*h + 1 - 1)*(-19 - 4 - 8)*(1 + 3 - 3) to u + f*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = -n, -3*n + 16 = q + 2*n. Let v(l) be the second derivative of -6*l - 4*l**2 + 0 - 1\/12*l**4 + l**3. Determine v(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 835470786 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101000101011110 (base 2) to base 11\nAnswer: 14717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 5. Let l(t) be the first derivative of 2*t**3\/3 - 7*t + 135. Calculate the remainder when 20 is divided by l(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 4*b**2 + 4*b + 5. Let r be p(-3). Let u be r\/(12\/(-8) + 2). Suppose u*s - 68 = 24. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13568499.966 rounded to the nearest one hundred thousand?\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1446591*3.\nAnswer: 4339773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 23 + n - 23. Let g(i) = 4*i. Let d(m) = 4*m. Let t(q) = 6*d(q) - 5*g(q). Determine a(t(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2723 is divided by 1232?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7122357551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - 6854\/(-207)) + 4040\/(-72).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 553 - -2986. List the prime factors of j.\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.2 >= -2995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 14. Let q(r) = 4*r**2 - 12*r - 12. Let f be q(9). What is the remainder when x is divided by ((-17)\/(f\/8))\/((-2)\/36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 l when four letters picked without replacement from {n: 1, s: 1, l: 1, o: 1, t: 2, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*w**2 + 4 - 12*w**2 + 586*w**2.\nAnswer: 44*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 183, 180, 175, 168, 159?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*v**3\/13 - 1174*v**2\/13 - 2890*v\/13 + 150\/13 = 0 for v.\nAnswer: -5, 3\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224192 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(85) - sqrt(85)*3*1)\/(sqrt(500)*3 + sqrt(500) - sqrt(5)) - ((sqrt(51)\/sqrt(3))**2 + -2 + -1 + sqrt(85)\/sqrt(5) + -2)).\nAnswer: -8 - 41*sqrt(17)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997312915?\nAnswer: 5, 257, 776119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1167, -1 in increasing order.\nAnswer: -1167, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2886)\/(-1494))\/37*(-114)\/(-247)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/152323846?\nAnswer: -1\/152323846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 25*g**7\/7 + 10*g**3\/3 - 18. Find the third derivative of b(c) wrt c.\nAnswer: 3000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or -9968693?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 769 + 293. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -8 + (-65 - -66).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37934.9882 and -0.173.\nAnswer: 37934.8152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*f - 43 + 32, -f - 1 = -b. Solve 0 = -4*o - 5*y + 15, b*o + 2*y - 13 = -7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.7 - 6. Let a = -141 + 1267\/9. Let o be 26\/36 - (-5)\/(-10). What is the nearest to o in a, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3143793, 12575167, 28294123, 50300661, 78594781?\nAnswer: 113176483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (10 - 3 - 10) - -10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/((-540)\/(-126)))\/((9\/24)\/((-18)\/(-8)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8873 + 8767 + (3 - (1 - 0)) + 12.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19370 divided by -6?\nAnswer: 9685\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/329 and 55\/12.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(((0 + sqrt(208))*-5 - (sqrt(208) + -1)*4)*5)**2.\nAnswer: -2529599 + 43200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 3. Let k = -1 - 6. Let t be h(k). Solve t*o + 34 = 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 327 - 1009\/3. Is p at most -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, 0.01, -5, -11, 0.1, 3 in increasing order.\nAnswer: -11, -5, -3.7, 0.01, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27580660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48421.\nAnswer: 41, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128)*1)**2)*4 - -2*(sqrt(2) + sqrt(242)*2)**2) + sqrt(8)*1 + 3 + ((-1*sqrt(84))\/sqrt(7))\/sqrt(6).\nAnswer: 33*sqrt(2) + 1607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1279 = -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (17071123 + 327*d**2 - 17071123)*(-3 + 3 - d**2) in the form k*d**4 + n*d**3 + g + h*d**2 + i*d and give k.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8159 + 2819 - 1244 + 2630 = -281*a for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 63\/2 (b) 1919 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -399, -1574, -3535, -6282, -9815, -14134?\n\"Answer: -393*k**2 + 4*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 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: Solve -3*y - 100*w + 101*w = -5, -2*w = 2*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and 9.5466?\nAnswer: 238.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/100)\/(1\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, -5, 211 in decreasing order.\nAnswer: 211, -1\/16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 f when four letters picked without replacement from uffufffffufuu?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-7) - (-10724)\/49. Let c = f - 87. Calculate the remainder when c is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 538 by -3.\nAnswer: -538\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3922730 divided by -35?\nAnswer: -112078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 5:09 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.63 - 22.63. Which is smaller: z or -0.16?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/2*a + 0 - 1\/2*a**3 - 4*a**2.\nAnswer: -a*(a + 1)*(a + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -162920 to the nearest 1000.\nAnswer: -163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 + 102. Let n = i + -171. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 2, x: 1, p: 1}. What is prob of sequence xt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12470219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962 is divided by 133?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 - -43. Let u = x - -67.000039. What is u rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -366385.\nAnswer: 1\/366385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 8:24 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 34*a + 39 - 62 - a**2 + 50. What is the tens digit of t(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -40. Let l be (((-3)\/q)\/1)\/(2\/(-940)). Round l to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104\/(-1242) + 290\/(-18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25133541?\nAnswer: 3, 8377847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -28 (c) 0.601 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 11*y**2 + 1. Let k be -11 + 13 - -1*3. Let x(d) = -d**3 + 6*d**2 - 1. Calculate k*x(n) + 3*v(n).\nAnswer: n**3 - 3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43953.92303 rounded to the nearest 100?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-231)\/(-18))\/(-7) + (-1690)\/(-2028).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-12 + -1 - (19 + -27))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 5 in descending order.\nAnswer: 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4808, -30, -4 in increasing order.\nAnswer: -4808, -30, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*y**3 - 10*y**3 + 64*y**3.\nAnswer: 180*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 0*i**2 - i**2 + i**3 + i**3 + 1 - 4*i**3. Let z(w) = w + 259*w**2 - 538*w**2 + 281*w**2. Calculate -4*y(k) - 11*z(k).\nAnswer: 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-6) - 5\/(-30). Suppose o - 247 = -3*w, -o + 5*w + 263 = -b*w. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*z = 4*w + 182, -2*w + 198 = 3*z. Let v = 126 - w. Calculate the remainder when 148 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*p - 20 = -8*z + 28, 3*p = 0. Calculate the highest common factor of z and 1542.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 6*z - 1. Suppose 14*a = -0*a - 19*a - 33. Suppose -4*o - 15 - 9 = 0. Let k(i) = -i**2 - i. What is a*j(x) + o*k(x)?\nAnswer: 5*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 35132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10 - (-20)\/(-12)*3\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 - 3*m + 3. Let l(s) be the first derivative of i(s). Let q(d) = 2*d**2. Give q(l(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z - 2*v - 28 = 40*z, -5*v = 20 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 297?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/4 - 21*o**3\/4 + 181*o**2\/4 - 411*o\/4 + 63 = 0. Calculate o.\nAnswer: -28, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 5:09 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 4:18 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 20477, -0.3, -0.2, 5, -4 in ascending order.\nAnswer: -4, -0.3, -0.2, 1\/5, 5, 20477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p, -5*r = 5*p - 55. Let x = 31 + r. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 944680 and 1188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1668 and 6008136.\nAnswer: 6008136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - (4 + -3) - -21 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 63\/2 (b) -2\/37 (c) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4, -5*b = -4*b - 2*h - 593. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 21. Suppose 5*b = -3 + 18. Suppose -53 = -3*v - 5*m, 3*v + 4*m - b*m - 37 = 0. Calculate the remainder when v is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4921?\nAnswer: 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1787 - -1787.2317. Let f = s - 0.23. Round f to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -5, 73, 5 in increasing order.\nAnswer: -5, 5, 73, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-2))\/(4 - -10 - 15). What is the closest to 0.1 in 103, a, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6912 divided by 4\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -37 - (-7 - 20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -6, 4, -2125, -17 in decreasing order.\nAnswer: 4, -5, -6, -7, -17, -2125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d - 2 + 1 + 12*d**2 + d. Let a = 12 + -14. Is q(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3627, 0, -2, 4, 112 in ascending order.\nAnswer: -3, -2, 0, 4, 112, 3627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 538773045*s**2 + 305489932?\nAnswer: 1077546090*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1062 (base 11) to base 2\nAnswer: 10101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 3*h**3 + h**3 + (h**2 + 3*h - 3*h)*(54*h - 28*h + 14*h) + (-2*h - 2*h**2 + 2*h)*(0 - 2*h + 0) as k + d*h**2 + s*h + w*h**3 and give w.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1465)\/((-5)\/1)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42845635 a multiple of 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001 (base 3) in base 10?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0*r - 1\/60*r**5 + 2*r**2 + 0*r**4 + 0 + 0*r**3. Let k(m) be the third derivative of m**5\/60 + m**2. Give g(k(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 393403427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 939 divided by -89020.\nAnswer: -939\/89020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 61. Let w be x(14). Solve 3*k - w*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*(o*o*o\/(o*o\/o**(1\/3)*o*o))\/o)**13 assuming o is positive.\nAnswer: o**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1484 + 1437. What is the second biggest value in x, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.181, -0.06 in ascending order.\nAnswer: -0.06, 0.1, 0.181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/6*2\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 v when four letters picked without replacement from ivdvovqiiiioqi?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 7) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263 + 286. What is the remainder when 37 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/61 bigger than -705013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aasa when four letters picked without replacement from taastsaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-9))\/(142\/2130). Let u(y) = 10*y + 86. Let r(a) = 7*a + 57. Calculate t*u(d) + 7*r(d).\nAnswer: -d - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 42, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 481 + -481.1. Let f = -0.14 - 1.86. Let i = -21 - -18. What is the biggest value in -0.3, i, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221910 divided by 10\nAnswer: -22191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o. Let f(k) be the third derivative of k**4\/6 + 47*k**3\/6 + k**2 + 330*k. What is u(f(c))?\nAnswer: -12*c - 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -672439, -672444, -672451, -672460?\n\"Answer: -b**2 - 2*b - 672436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2127791*g**2. Let l(p) = 14*p**2. Calculate h(l(q)).\nAnswer: -417047036*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 94*n**2 + 93*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2454345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 2*q**4 + 7*q**4)*(7*q - 9*q - 8*q - 2).\nAnswer: -60*q**5 - 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 2*h**2 + 2*h - 4. Let k(b) = b**2 - 10*b + 5. Let q be k(9). Let c be 14\/(-6) + q\/6. What is r(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6141 + -0.00388.\nAnswer: 6140.99612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -447 + 557. Suppose -d*m - 915 = -111*m. What are the prime factors of m?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -71. What is the highest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27820933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5506207 rounded to the nearest one hundred thousand?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/31 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(102) + sqrt(102) + 3*sqrt(102)))\/(sqrt(54)*-4))**2 + ((-3*sqrt(153))\/sqrt(3))\/(sqrt(6)\/sqrt(2)*6).\nAnswer: -sqrt(17)\/2 + 10625\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 289 (b) 3\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55619 divided by 191?\nAnswer: 55619\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/8 - 187*c**3\/8 + 1245*c**2 - 27047*c\/2 - 14792.\nAnswer: (c - 86)**2*(c - 16)*(c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 16, o: 4}. Give prob of picking 1 o and 2 q.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 - 3*u**4 + 4*u**4 + (-2*u**2 + 3*u**2 + u**2)*(0*u**2 - 3*u**2 + u**2) + (1196*u - 237*u**2 - 1196*u)*(-u**2 + 5*u**2 - 5*u**2).\nAnswer: 231*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6458780, -12917560, -19376340, -25835120?\nAnswer: -32293900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, -13, 2, 27 in increasing order.\nAnswer: -13, -8, 2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146*j + 102*j - 310*j)*(1 + 0 + 2) - j - 4*j + 4*j.\nAnswer: -187*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**6\/2 + 3*t**5\/5 - 3*t**4\/4 - t**3 - 76. Factor x(o).\nAnswer: 3*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73684901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8662311?\nAnswer: 3, 7, 359, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let c(w) = w**3 - 7*w**2 - 2*w + 10. What is c(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13449 or 147934\/11?\nAnswer: 147934\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*h + 1859957 - 1865567 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13078, -26156, -39220, -52264, -65282, -78268, -91216, -104120?\n\"Answer: u**3 + u**2 - 13088*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**7\/399 + t**6\/95 + t**5\/95 - t**4\/19 - t**3\/57 + 3*t**2\/19 + 30*t. Determine z so that f(z) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2857?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 4*l - 1. Let b be k(5). Let z = 17 + -9. Suppose -u = b - z. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 3*b**6\/4 - b**5\/15 + 3*b**4\/8 - 4*b**3\/3 - 146*b**2. Does 14 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12097 + -12238. Which is the second smallest value? (a) f (b) 5\/8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p**2. Let i be (-1)\/(-2) - (-9)\/6. Let m(f) = 8*f - 8*f - f**i. Determine m(d(z)).\nAnswer: -100*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201 + 135?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -325? (a) 0.2 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -30*k**2. Let j(p) be the second derivative of -10*p + 0 + 0*p**2 - 1\/6*p**4 + 0*p**3. What is j(o(d))?\nAnswer: -1800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 6*k - 60 = -4*g, 2*k = 0. Let b(z) = 132*z**2 + 32*z - 7*z - g*z - 10*z. Let f(r) = 2*r**2. What is b(f(q))?\nAnswer: 528*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32162 divided by -2192.\nAnswer: -16081\/1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -455 - -459. Suppose -4*j + 31*h = 29*h - 8, i*h = 5*j - 16. Determine c, given that -1\/2*c + 3\/4*c**2 + 5\/4*c**3 + j = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2021\/17 + -119. Let k = -2.97 - 0.03. Let g = 2.8 + -3. Which is the second smallest value? (a) q (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 3*d + 0 - 1\/36*d**4 + 1\/270*d**5 - 1\/2*d**2 + 2\/27*d**3. Let c(k) be the first derivative of g(k). Factor c(o).\nAnswer: 2*(o - 2)*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 26409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 2017, 6905, 16493, 32365, 56105?\nAnswer: 89297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 50 - 3 - 5 - d. Calculate the remainder when p(-17) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -322 in 1\/7, 2\/3, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11460 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10441618\/9 or -1160179?\nAnswer: -10441618\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.38486 grams to milligrams.\nAnswer: 98384.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a)**35\/(a*a\/(a*a**3*a*a)*a*a**9) assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 = 5*z, -2*f = -3*z - 0 + 6. Suppose -2 = -z*s + s. Calculate the remainder when 27\/45 - 64\/(-10) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/340 and -21\/68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 6*f. Solve f*x - 4 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q - 2*q + q + 5*q to i*q + c and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -10. Which is greater: -5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 8 = u, -10*u + 9*u - 3*y = -4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409257?\nAnswer: 3, 37, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3817 - -3805 - (-5 + (2 - (0 - 0)) + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/9)\/((-4)\/6). Suppose 0*z - 8 = -h*z. Let d(b) = 3*b + 1. Let r(i) = 1. Let n(o) = -d(o) + 3*r(o). What is n(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 59.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324222037 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.00000008 - -10. Round t to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 4, d: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*i + 720*i - 322*i to o*i + h and give o.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451*l - 511*l - 1 + 1366*l - 427*l.\nAnswer: -23*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 6. Let q(j) = j + 5. Let w(v) = -6*q(v) + 5*z(v). Let c be w(-5). Let n = c - 3. Is n < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 117*r**2 - 60*r - 117. Give x(-58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 15 + -16 + 7 + 8 + -36.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luuu when four letters picked without replacement from lullllllllllluullu?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 205*j - 1945. Let y be i(-10). Solve -3*a + y*z = -2*a - 29, 17 = -2*a - 5*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -112*g - 3075. Calculate q(-28).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2. Let p(z) = 2*z**2 + z - 5. Determine -p(h) + r(h).\nAnswer: -3*h**2 - h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(700) + 1 + sqrt(700) + 4) + 2 + -5*sqrt(700)*2 + -2)**2.\nAnswer: 7200*sqrt(7) + 227200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 5:31 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16108 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*x**4 - 1452*x**3 + 9196*x**2 + 11532*x + 832 = 0. What is x?\nAnswer: -1, -1\/13, 13, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Factor -m + 2 + 2*m**3 - 3*m**3 + f*m - 2*m**2.\nAnswer: -(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 837 + -841. Let h(v) = -65*v - 80. Does 6 divide h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45506\/21 + 6812\/3. Suppose 4*k = -2*n - 410, 3*k + 3*n + 300 = -n. Let o = w + k. Which is the third smallest value? (a) -3 (b) o (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-119)\/175*43 + 29)\/((-102)\/10)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8584 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 27, 22, 9, -18, -65?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -34. Let p be -1*-3*k\/(-3). Suppose -p*o + 5190 = 2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061960127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let i = 0.36 + -0.26. What is the closest to 0.1 in -4\/7, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/(-4))\/((-633)\/(-633))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/529 - 10601\/3703. Let x = 1067 - 1004. Calculate the common denominator of (1 + (-69)\/x)*-72 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**3 + 3546994*q**2 + 82409235?\nAnswer: -6*q**2 + 7093988*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 132 - 153. Let f = 2 + -1.8. Which is greater: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/3 - (-12834)\/2622. Which is the closest to 1? (a) -1 (b) -41 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 5\/6, -5, -2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 + (4 - 33) + -3 + -4.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -33. Let k = -969 + 1049. Calculate the greatest common divisor of k and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776467159.\nAnswer: 13, 59728243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -852104994.0949 from 3.\nAnswer: 852104997.0949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 9*d**2 + 2 - 4 + 6 - 9*d. Let q be i(3). Suppose -5*p + 5*s = -55, 5*p + 4*s + 0*s - q = 0. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123613.821 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 30. Suppose d*v - 1380 = 9*v. What is v rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -28*i**3 - 24*i**2 - 7*i + 19. Let y(d) = 14*d**3 + 11*d**2 + 3*d - 9. What is 6*c(r) + 13*y(r)?\nAnswer: 14*r**3 - r**2 - 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 2*c - 100. Let r(p) = 29*p. Calculate r(o(q)).\nAnswer: -58*q**2 - 58*q - 2900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -32 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 25*k**2 - 26*k - 1. What is x(-26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1090, 8629, 29092, 68941, 134638, 232645, 369424?\nAnswer: 551437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/20 and 107\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (-46 + 1) - 0.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 r, and 2 e when four letters picked without replacement from erye.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3682 + -8933746?\nAnswer: -8930064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 o when three letters picked without replacement from {l: 7, o: 1, v: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726162 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51239\/11 - 4657. Sort -0.3, 2\/3, -1, n, -3 in ascending order.\nAnswer: -3, -1, -0.3, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose 2*y + 12 = 4*q, -4*q - 15 = -7*q. Suppose y*d = 6*d. Is v > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p = -45*p + 43*p - 576 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -148.2279151165 and -0.08?\nAnswer: 148.1479151165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 363180 and -5467253.\nAnswer: -5104073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000475994073 rounded to 7 decimal places?\nAnswer: -0.0000476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10054548 divided by -21?\nAnswer: -478788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 944, 1418, 1892?\nAnswer: 2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 1. Let p(f) = -3*f + 2. Let u(k) = -3*p(k) - 7*w(k). Let g be u(7). Calculate the greatest common divisor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 13*n - 3. Let v be y(-12). Let h be 5\/v*28\/(-5). Let u = 59\/18 + h. Which is the third biggest value? (a) -4 (b) 2\/19 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*o = 10, 0*t + 2*t + 6 = 3*o. Suppose c - 2*c + 28 = t. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 185 - 31 = 0. Let u(w) = w**2 - 67. Let g be u(0). Let c = t - g. Calculate the highest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-35)\/(105\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -20, -m + 0*m = 5*f - 495. Let h = -67 + f. What is the least common multiple of 15 and h?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 699.0158 millennia?\nAnswer: 69901.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**2 + 906*y + 18. Suppose 0*l + 248 = 5*z + 2*l, 3*z - 152 = -2*l. Calculate the smallest common multiple of z and c(151).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s - s)*(-1 + 6 - 1).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from qqbqzqzqqzzbzbzqzq?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -k + 5*k + 2*l, 2*l = 10. Let g(n) = 13*n**2. Let w be g(-1). Suppose -w = -5*v + 7. Solve -k*a - s = 2, 4*a + v = -3*s + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -1\/3, -3, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -360 or -554?\nAnswer: -554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*t = -q, 26 = 3*t + 5*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.1425 times -6044\nAnswer: -6905.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 + -293.93. What is the fourth smallest value in 4, y, 3\/5, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 307\/2 + -153. Let h(x) be the first derivative of -t*x**2 + 0*x + 1. Let u(p) = -3*p. What is h(u(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 7*x - 2. Let h be g(-7). Let o(j) = 3*j + 4. Let v be o(h). Which is the third smallest value? (a) -1\/4 (b) 0.03 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/12 and -29\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**4 + q**3. Let l(j) = j**3 + j**2. Suppose -3 - 5 = 4*u. Let d(k) = u*l(k) + 2*r(k). Find the third derivative of d(v) wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 183766952*i**2 + 735067856*i - 735067872.\nAnswer: -4*(i - 2)**2*(i + 45941742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 + 88*j**2 - 151*j**2 + 63*j**2.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.719 - -0.4. Let w = -0.019 - t. Sort w, 4, -55, 2\/9 in increasing order.\nAnswer: -55, 2\/9, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.522 - 0.078. What is z rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(192)\/sqrt(8))\/(-2*5*sqrt(3) + (sqrt(3) - sqrt(36)\/(sqrt(12) + sqrt(12)*4))).\nAnswer: -15*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412953.\nAnswer: 3, 179, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*b + 29*b + 462. Which is smaller: -67 or b?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guohyoooyyg. What is prob of sequence goh?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.78, 14, -2\/5, -0.066?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 100\/(-15)*1\/(-5). Let x be ((-220)\/264)\/(-2 - (-8 + 1)). What is the nearest to x in 0.2, c, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 473 = 381 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*u - 1385, -3*u + 0*u = -3. Let n be (20\/d)\/((-4)\/6). Let o = -102\/5 - -99\/5. Which is the biggest value? (a) n (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, 1, -1 in descending order.\nAnswer: 13, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.71 and 0.135?\nAnswer: -0.09585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 23 = 2*a. Let y be a\/12*(-4 + 2)*-8. Suppose -21 = y*b - 11*b. Solve b = -4*j + 2*v + v, -4*v = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -249*g - 141. Let m(l) = -83*l - 47. Let s(a) = 3*d(a) - 8*m(a). Find the first derivative of s(c) wrt c.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + s + 6*s - 9*s)*(-4 - 4 + 4) as u*s + c and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80543562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*z**4 - 16*z**4 + 324*z**2 + 3*z**5 + 151*z**2 + 45*z**4 wrt z.\nAnswer: 180*z**2 + 408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -3. Let n = 0.039 - 7.039. Let y = v - n. Put 0, 0.4, y in decreasing order.\nAnswer: y, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 2897191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7576 and 80.\nAnswer: 75760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223311 (base 5) to base 6.\nAnswer: -100500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5654 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 872 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81.73 - -81.68007. What is x rounded to three dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2823852977?\nAnswer: 11, 256713907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -421200 divided by -648?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3673.79915 to the nearest integer.\nAnswer: -3674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x. Let b(k) = 3*k + 2. Suppose 5*h + 3*m = -1, 11 = -11*h + 7*h + m. Give h*w(i) + b(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201350, -402688, -604016, -805334, -1006642, -1207940, -1409228?\nAnswer: -1610506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 6 (b) 4 (c) -9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66)*2*-6 - sqrt(66)) - 4*3*sqrt(66))\/(1*(sqrt(216) - (sqrt(216) - (1*sqrt(216) - sqrt(216)) - sqrt(216)))*-4).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5611, -7115, -9661, -13249, -17879, -23551, -30265?\nAnswer: -38021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46771161587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (4 - 4) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1771 is divided by 590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isd when three letters picked without replacement from isdssisddidydiydyyi.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 8*j\/5 - 1242\/5.\nAnswer: 2*(j - 23)*(j + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1062 + 1118. Let z = 1172649 + -1172704.99994. Let r = z + c. Round r to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74794 + 125736. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1480 - 542. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -45?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*i + 558 + 122, -3*c = i + 416. Let f = 139 + c. Sort 3, 2, f in decreasing order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10788, 10796, 10804?\n\"Answer: 8*m + 10780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**17*(q\/(q**23*q))\/q assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:15 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-3)\/(-1))*-3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133753.947 + 136807. Let o = z + -3055. What is o rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -y + 12, -3*y = 5*d + 8 - 39 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 68 = -4*u, -g = -1843*u + 1847*u + 28 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 124*w**2 + 737*w - 12. Calculate a(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 27 = -2. Let r be 6\/15 + 13\/x. Suppose r*c + 33 = -5*m, -5*m - 2*c - 28 = 4. Let n(q) = -q**3 - 6*q**2 + 2*q + 7. Determine n(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21546)\/72)\/(1\/(-8)). Round o to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c**3 + 285. Let j(v) = 3*v**3 - 1. Let q(i) = 6*j(i) + u(i). Differentiate q(n) with respect to n.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1025 - -1512. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26006\/(3\/(60\/8)). Suppose -5*u + s = -5*k, 0 = -0*u - 5*u + 15. What is k rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 1 + 5 + 3*o + 3*o + o**2. Let x be n(-4). Solve -x*h + 10 = -7*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 173.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 2*k**2 + 2*k - 8. Let o(i) = 2*i**3 - 2*i**2 - 2*i + 7. Let m(r) = -4*h(r) - 5*o(r). Let p = -1525 - -1527. Give m(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/33 and (-644)\/(-48)*(-1)\/(-539)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1067.02?\nAnswer: 4268.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 - h + 2. Let o be n(-3). Let b = -36 - o. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511590 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, 965 in increasing order.\nAnswer: -2, 21, 965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 2*l**2 - 1. Let a be n(0). Let x(c) = 2*c**2 - 74*c + 6. Let k be x(37). Sort k, a, -5 in decreasing order.\nAnswer: k, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000049664 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 e when four letters picked without replacement from {e: 1, l: 6, b: 8, y: 3, h: 1}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 2*s + 3. Suppose 22 = 2*o - 10. Calculate the least common multiple of o and f(-5).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-7 - -19) + (-5 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703*a**3 + 0*a**2 + 0*a**2 - 137*a - 68.\nAnswer: -703*a**3 - 137*a - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 115, 146, 199, 280, 395?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -g + 2*i + 3*i, -5 = i. Let v(w) = -g + 19*w + 3*w - 12 + 21. What is the remainder when v(1) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15422222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63.9 - 64. Let g(y) = y**3 + 5*y**2 + 4*y - 5. Let j be g(-4). Sort -3, q, j in descending order.\nAnswer: q, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 171002*f + 1196981. Give u(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 32*g**4\/7 + 7340*g**3\/7 - 12036*g**2\/7 - 792*g = 0.\nAnswer: -231, -3\/8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqq when three letters picked without replacement from fffqfddpflfffqfql.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18786.506 and -3?\nAnswer: -56359.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**25*(x**(4\/15))**40 assuming x is positive.\nAnswer: x**(-268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:50 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 1970?\nAnswer: 21670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 + 24 - 24)*(42 - 1 - 5)*(-a + a + a).\nAnswer: 180*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38751941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010502 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c + 67. Let g(m) = -32*m + 134. Let w(f) = 7*b(f) - 3*g(f). List the prime factors of w(-19).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 61. What is the nearest to v in 5, 1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -17*z + 70 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*b - 3*b - 16*b + (5*b - 3*b + b)*(-2 + 0 + 0) - 7*b + 3*b + 3*b + (0 + 2 - 3)*(2*b - 2*b + 2*b) + 0*b - 2*b + 9*b to the form p*b + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2312 - 2450. What is the smallest value in -10, 0.5, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -0.3. Let a = -51245 + 51246. What is the closest to 2 in a, z, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 1, v: 1, d: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 106*l. Let n(g) = -4*g**2. Calculate v(n(x)).\nAnswer: -424*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -29*b + 91. Let r be j(3). Solve -3*i + 2 = 2*n, 4 + r = 4*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2 + 171160*h + 342312 = 0.\nAnswer: -85578, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -249, -0.3, -73?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 7*u - 3)*(-2 + 2*u + 2)*(4 + 0 - 2)*(4 + 2 + 3).\nAnswer: -252*u**2 + 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1824, 1902, 2040, 2244, 2520, 2874, 3312, 3840?\n\"Answer: p**3 + 24*p**2 - p + 1800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -27\/2, -0.093, -2\/7 in decreasing order.\nAnswer: 34, -0.093, -2\/7, -27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 384044 + -383375.0297. Let m = r + -669. Let o = m - 0.001. What is o rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -13\/2. Suppose -2*s = -r + 1, -7 = -5*r + 3*s - 2. Is r >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((290\/29)\/(8*-1))\/((-13)\/260)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-3 - 25)*240\/280. What is the highest common factor of 36 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - y**2 + 3*y + 2. Suppose -51*h = -47*h + 8. What is g(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2321243 + 2?\nAnswer: 2321300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c - 2. Suppose 0 = -5*r + 3*t + 453, -3*r - 170 = -5*r + 4*t. What is the remainder when r is divided by y(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.1 (c) -0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13*m**2 + 11*m. Suppose 0 = n + 5*p - 9, -2*n + p + 15 = -5*n. Let z be (-38)\/6 + (-2)\/n. Let c(d) = -7*d**2 + 6*d. Give z*w(o) + 11*c(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 34*o**2 - 332*o + 131. Determine h(42).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 175\/3 - 58. Suppose j*n**2 + 4\/3*n + 4\/3 = 0. Calculate n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-1)*-18*10\/(-135). Let b be ((-44)\/10 + 4)\/(1\/(-10)). Calculate the greatest common factor of b and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 50*t**2 - 2. Let n(y) be the first derivative of -y**3\/3 - 12. Determine n(b(z)).\nAnswer: -2500*z**4 + 200*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 11 + -358 + 336?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 16. What is the second derivative of 2*b**2 + 22*b + 36*b**2 + 14*b**a wrt b?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 0*a**2 - a**2 + 23 - a**3 - 5. Let n be z(0). What is the greatest common divisor of n and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*f - y, 5*y - 3*y = -3*f + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -648*u + 651 - 2371 + 17806 + 8538 = 0 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -146. Is (1\/(-2))\/(2\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m + 35. Let z be i(-4). Let f be 3\/1 + 134\/(-46). What is the third smallest value in z, -0.1, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (10 - (-2 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*((q\/(q\/q**8))\/q)\/q*q)\/(q**1\/(q\/(q\/q**(2\/7))))*(q**(-6)\/q**(-5\/6))\/(q**(-4)*((q*q**(2\/3)*q)\/q)\/q) assuming q is positive.\nAnswer: q**(-149\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 6 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 27*q**2 + 122*q - 13. What is f(31)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s + 9. Let n be w(3). Let p = n - -11. Solve p*o = o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5f91 (base 16) to base 8\nAnswer: 57621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Suppose -k*j - 8 = 2*q, q + 0*q = 4*j + 1. What is the units digit of (3 - 6 - q) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9515 = b, -q = -5*b + 1324 - 10869. Is 69 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 66. Suppose 6*t + 2 = a. Solve 0 = -t*c - 5 + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98195 + 32811 + 2*s**2 + 32562 + 32822.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201722 is divided by 20171.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194737190*c**5 - 4*c**2 - 6401*c - 515 wrt c?\nAnswer: 11684231400*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-278434\nAnswer: -278433.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 176849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 7. Is 3 - (2 + z)*-2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 9*r**2 + 8*r + 1. Let g = 36 - 30. Suppose g*i + 4*u = i + 79, -i - 2*u + 17 = 0. What is the remainder when b(-7) is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - 4) - (-1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588757553.\nAnswer: 6163, 95531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 + 18*t - 3. Let d(q) = q**2 - q - 1. Suppose 2*c + 3*l + 3 = 0, -4*c + 3*c - 2 = l. Let p(w) = c*d(w) + s(w). Let p(k) = 0. Calculate k.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124.5 + -124.5. Which is the closest to h? (a) -5 (b) 2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9356981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4127324 - -3?\nAnswer: -4127321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 - 4*t**3 + 2*t**4 + (2*t**3 + 3*t**3 + 0*t**3)*(-2 + 4*t - t - t).\nAnswer: 12*t**4 - 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-one halves of a milligram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 0 + 1)*1513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/5 - 458*x**4\/5 - 913*x**3\/5 - 456*x**2\/5.\nAnswer: -x**2*(x + 1)**2*(x + 456)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 5 + -23 - (-883 + 905).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 + 111. Let r be (129\/2)\/1*2 + 3. What is the highest common divisor of a and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -48. What is the hundreds digit of 2455\/5 - l - 2\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2145, -6\/11, -3\/4 in decreasing order.\nAnswer: 2145, -6\/11, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m = -126*m + 5808. Let o(n) = n**2 + 3*n - 1. What is the lowest common multiple of o(-4) and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**4 - 52769*x**2 - x**4 + 2*x**3 + 52831*x**2 to k*x**3 + t*x**4 + w*x**2 + a + m*x and give w.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8220715, 8220716, 8220717?\nAnswer: 8220718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 9448 = 9368. Find the common denominator of ((-695)\/12)\/(-5) + 1 and g\/1760 - ((-4)\/10 - -1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39515436.\nAnswer: 2, 3, 1097651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008321 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 {q: 5, p: 1, x: 1, f: 3, m: 2, l: 1}. Give prob of sequence mfx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -186, 269, 716, 1155, 1586?\n\"Answer: -4*j**2 + 467*j - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33.18 in 98, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Suppose 0 = -i*h - 2*h + 4*o + 130, -5*h + 130 = -o. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 19 + 1. Suppose -2*n + 0*n = -f. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230493\/12 + (-1284)\/48 + 28.\nAnswer: 3, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2247 + 2245. Let u = -0.2 + 15.2. Which is the third biggest value? (a) u (b) 4\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239130058 to the power of 1\/3, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 352168066 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -765 - -770.13. Let m = -0.13 + h. Which is the nearest to 1\/3? (a) 0.1 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u. Suppose 8*k - 5*k - 33 = -3*h, -5*k + 3*h + 71 = 0. Solve 3*v - k = -2*m, u*m - m + 3 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2295*n**4*z - 17*n**3*z**2 + 2*n**2*z**2 + n**2 - 4*z**2 - 469 wrt n?\nAnswer: 55080*n*z - 102*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 11 - 47. Suppose c*o = -0*o + 380. Let d = -70 + o. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u + 20*u**2 - 27*u**2 + 10*u wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 19. Let u(h) = -8 + 9*h - 2*h**2 + h**2 + a. Let s be u(8). Solve -4*i + 5*o - 2 = -5, 4*o = -s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14379 is divided by 6709.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2993\/390 - -157\/39. Calculate the common denominator of 3 - (-20)\/26*(-2)\/(-2) and g.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -27, -8, 2, 62 in decreasing order.\nAnswer: 62, 39, 2, -8, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 18\/355, 3\/19, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -25. Let v be 4 + (-1 - 0) + -1. Suppose -4*m + v*q + 40 = 0, -w*m + 2*q = -11 - 19. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.51187 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9746331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 60*g - 55. Let v be j(-7). Let p = v - -798. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 374 + -257. Is 39 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 805 + -58766\/73. Let f = -217\/146 + m. What is the third smallest value in f, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/30072 and -23\/840.\nAnswer: 150360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 2. Let c be q(-2). Solve 5*f - c*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 551 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (3 + (-1 - 1)). Is 15 a factor of a\/2 - 297\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -1.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5\/2 - 777*r**4\/2 - 62661*r**3\/2 - 1308255*r**2\/2 + 9908808*r + 62219040 = 0. What is r?\nAnswer: -104, -59, -5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620892 a multiple of 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - -27) + -45 + -41?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 1, y: 1, z: 1, r: 2, l: 2}. What is prob of picking 1 l and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*m**2 - 49*m**2 - 34*m**2)*(-2*m**2 + 2 - 2) to the form f*m**4 + y*m + r*m**3 + i*m**2 + o and give f.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dau when three letters picked without replacement from addudduudy?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 + 24.10725?\nAnswer: 26.50725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 6*j - 4. Let f be u(3). Solve g - 3*s - 1 = 3, -4*g + f*s + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988 is divided by 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/2111 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22653*k*y**2 + 20*k + 9164554*y**2 wrt k?\nAnswer: 22653*y**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**3 - 8*c**2 - 5*c + 6. Let q(z) = z**3 + z**2 + z - 1. Determine -p(t) - 6*q(t).\nAnswer: 2*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/2)*n*n)**(14\/3)\/(n**6\/(n*(n**(2\/5)*n)\/n)))\/(n**(-12)\/((n*n*(n\/n**(-5\/6)*n*n)\/n)\/n))**(1\/15) assuming n is positive.\nAnswer: n**(1151\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 11. Let y(t) = 3*t**2 + 2*t - 1. Let h be y(1). Let n be h + (1 - (2 - 1)). Solve 9 = a - n*a, 2*p = a + u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 31 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**3 + l + 8*l**3 + l**4 + 2*l**3 in the form i*l**2 + t + z*l**4 + f*l**3 + p*l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22602657*p - 53692606 wrt p?\nAnswer: -22602657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -8. Let v be 14\/16*f\/7. Which is the biggest value? (a) v (b) -1\/4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1785513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -17. Suppose 0 = -3*n + c*n - 48. Determine j so that -n*j + 37*j - 72 - 2*j**2 - j = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**3*p**2*t**2 + 770*h**3*p*t**3 + 2*h**3*t + 93*h**2*p**2*t**3 + 16*h**2*t**2 - 9*h*p**2*t**2 wrt t.\nAnswer: 4620*h**3*p + 558*h**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 189*r - 588*r**3 - 189*r + (-1 - 2*r + 1)*(-r**2 - 3*r**2 + 6*r**2).\nAnswer: -592*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25731?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.151102 grams in tonnes?\nAnswer: 0.000005151102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 10*s - s. Is z(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1826 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.0208\nAnswer: 0.00832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 4:16 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 796.26*0.0433.\nAnswer: 34.478058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a4a8 (base 11) in base 12?\nAnswer: 35b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**4\/4 + 5*o**3\/3 + 2*o**2 + 8*o + 6. Let m be p(6). Let l(q) = -6*q + 2. Is 11 a factor of l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -16*u**2 + 0*u - 17\/6*u**3 + 0 + 1\/6*u**4. What is the remainder when d(14) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w - 45. Let u be q(6). Suppose i = -u*n - 4*i - 16, -5 = i. Suppose -2*o = -n + 5. Is -1\/9 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9*n**2 + 22 - 16.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 1521.\nAnswer: 66924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 + 73. Solve 4*h = -7 + f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 118, 4, 2, -36, 0, -1 in descending order.\nAnswer: 118, 4, 3, 2, 0, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 - 29\/9. Let j(o) = -2*o**2. Let v(s) = s**2 - s - 1. Let k(u) = m*v(u) - j(u). Determine k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 8*d + 34. Let f be p(-11). Which is the second smallest value? (a) 2\/11 (b) f (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3356897?\nAnswer: 31, 108287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + g**2 - 2*g**2)*(0*g**3 + 0*g**3 + 4*g**3).\nAnswer: -24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 2*t + 10*t + 0*t + t + 4*t**3.\nAnswer: 4*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/80 + n**4\/12 + 3*n**2. Let r(h) be the second derivative of w(h). Let c(m) = m. Give r(c(p)).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 3*d - 4. Suppose -b - 27 = -2*i, i + 19 = 5*b + 127. Calculate the remainder when t(3) is divided by 2\/7 - 162\/b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 523014?\nAnswer: 523011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4306552 hours in nanoseconds?\nAnswer: 1550358720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*v - 11778 = -364*v + 193*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3720 and 216?\nAnswer: 33480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 336583.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -10) + -13 - -30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*x - 2155 = 0, -3577 = -5*p - 0*x - 3*x. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 131*m**3 + m**2 + m - 1. Let q be w(1). Calculate the highest common factor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 8*u = -6. Let h be 29\/(-42) + ((-120)\/(-42) - u). What is the second biggest value in -0.4, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 8499.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q + 11. Let c(z) = -6*z - 23. Determine 6*c(o) + 13*h(o).\nAnswer: 3*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -0.4 (b) -0.21 (c) -0.22 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -49124 - 12*l + 12*l + l**2 - 78876. Let s = 2 + -2. Let x be a(s). Round x to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8316 by 1.\nAnswer: 8316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 2, e: 8, j: 3}. What is prob of picking 2 j and 2 e?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (12 - 5) - -5) + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-4)\/(-7))\/((1517\/(-259))\/(-41)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35947 times -48\nAnswer: -1725456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24096?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -0.4 (b) -0.3 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**11\/332640 - m**10\/151200 - m**5\/60 + 4*m**2. Let b(x) be the third derivative of f(x). Factor b(c).\nAnswer: c**4*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w - 2. Let r be d(2). Let c(n) = 2*n**2 + 8*n - 10. Let l be c(-5). Let q be (11\/2 + -2)*(16 - l). What is the greatest common divisor of r and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -600, -2397, -5392, -9585, -14976, -21565?\n\"Answer: -599*y**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/7)*k**(1\/4))\/(k**(6\/5)\/((k\/k**8)\/k)))**(-11))**41 assuming k is positive.\nAnswer: k**(547063\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -1358, -4651, -11060, -21623?\nAnswer: -37378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -3) + 890064\/(-40320).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/12 - 5*j**3\/6 - 3*j**2 + j. Let v be x(6). Does v = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (565 - 586)\/(-1 - 0). Solve 3*b - 7*b + v = 5*a, 0 = -4*a + b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {h: 3, o: 1, g: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 78. Suppose -y + 0*y = -s. Suppose 0*z + y = z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 6. Let n be r(5). Let c(m) = 106*m - 58. Let g be c(2). Let v be g\/(n + 49\/50). What is v rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(12\/108).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*y - 13 = -0*v, 5*v - y = 9. Let s = -1 - -4. Suppose s*i - 8 + 2 = 0. Calculate the remainder when i is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2431 - 4*z - 13*z**3 + 4850 - 2419.\nAnswer: -13*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1208 = -287*w + 3308*w - 4834 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 94 (b) 4 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25530 divided by -111.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Suppose 9 = b + j. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -k + 14, 1 = -b + 2*k - 0. Let o = 6 + b. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2296301046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 + -41 + 111 + 120?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/24331 + 992991\/55717990. What is the common denominator of j and 29\/18?\nAnswer: 20610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5801851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 + -3. Let o = 0.0582 + -0.2812. Let h = o - 0.277. What is the second biggest value in h, 1, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 18*j + 10*j - 159 - 55 - 70 = -k - 4*k, 0 = 2*j - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 21*h**2 - 18*h + 43. Let v be c(-20). Find the second derivative of 56*o + 40*o**2 + 4*o**3 - 7*o**v - 38*o**2 wrt o.\nAnswer: -18*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 + 27*c)*(2*c + 0 + 0) to the form j + z*c**2 + y*c and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 divided by 1?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v**2 - v + 1. Let w = -108 + 111. Suppose -w*n - 2*n = 2*f + 13, -2*f + n = 7. Calculate y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/17 or 26539?\nAnswer: 26539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2794402990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 166696 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: Convert 47.3048 years to months.\nAnswer: 567.6576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -15 - (4 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2 + 443*t - 13516. Determine l(-77).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from attbttttttaatxatb. Give prob of picking 1 t and 2 a.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0*-11*13\/(-429)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = p + 2*p. Suppose 57 + 59 = p*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57212085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1898623 + 1898622.98900037. Let l = -0.011 - r. Round l to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232.4 + 232.2842. What is z rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 42 - 11*j)*(-112*j - 65*j - 23*j).\nAnswer: 2200*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034681 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1838484 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -18.6. Which is the nearest to 2? (a) 2 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139659407 times -0.1\nAnswer: 13965940.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.3 - 21904.\nAnswer: -21912.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a797 (base 12) to base 2.\nAnswer: 10011101011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -53 + 48 - (-7448 + 2 + 0). Suppose 23*q = b + 862. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, o: 4, f: 1}. Give prob of picking 2 y and 1 o.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3261, -1, -4, 2.\nAnswer: -3261, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*4 - 2. Solve 2*o + 2 = -p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(2\/3)))**(1\/45)*x\/x**(3\/4)*x*x**(2\/7)*x*x)\/((x*x\/x**1)**(-25)*((x\/x**(-2\/9))\/x)\/(x*x\/x**5)) assuming x is positive.\nAnswer: x**(95713\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 6:14 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392040 and 480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -5ab?\nAnswer: 5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 8*v**2 - 16. Suppose 5*g - 24 - 11 = 0. Let a be m(g). Suppose a*b - 24*b - 1017 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/2 + 126*j**3 - 837*j**2\/2 - 2349*j.\nAnswer: 3*j*(j - 6)*(j + 3)*(j + 87)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w\/((w*w\/((w*w**(-2\/5))\/w)*w*w)\/w*w)*w**(-2\/9)*(w*w**(-1\/4)*w)**(-36) assuming w is positive.\nAnswer: w**(-2908\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*h + 20345 = 73*h - 222*h + 93*h for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8011 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from {h: 5, d: 9, i: 2}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8277 divided by -13.\nAnswer: -8277\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-28))\/((12\/(-8))\/1)*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29333 - 11903. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 41*v**2 - 9*v + 135. Let r(x) = 23*x**2 - 5*x + 75. Let a(n) = 5*g(n) - 9*r(n). Let p(f) = -28*f + 9*f - 53*f + 1. What is a(p(b))?\nAnswer: -10368*b**2 + 288*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -110*z. Let l be m(-2). Let a = l + -85. Suppose 3*u - 170 = -0*u + 2*j, -4*u + 228 = -3*j. Calculate the highest common factor of a and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -676*w**2. Let g(r) = -5*r**2. What is g(t(l))?\nAnswer: -2284880*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 112, 129, 56, -137, -480, -1003, -1736?\nAnswer: -2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:36 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 32951?\nAnswer: -2\/32951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -1*sqrt(114)*-5)\/(sqrt(12)\/(sqrt(4)\/sqrt(2))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ummuwmmmmuuumu. Give prob of picking 2 u.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(6\/(-38))*(0 + 3). Solve -17 = h + 2*h - 2*x, -5*h - l = -x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 24 - (0 - (-5 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -50*g**2 - 13*g - 3. Let p(i) = 39*i**2 + 12*i + 2. Give -4*p(t) - 3*u(t).\nAnswer: -6*t**2 - 9*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(30\/(-25))\/(2\/5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 2103030003133?\nAnswer: 2103030003133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 885 - 2768 - 623. What is the highest common divisor of 6623 and g?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.108 - 38.108. Sort -1, -0.5, o, 4 in decreasing order.\nAnswer: 4, -0.5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21997840?\nAnswer: 2, 5, 274973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:30 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**5 - 2*r**5 - 17*r**5 + 0*r**5 + 2*r**5 - 4*r**5 + 2*r**5 - 4*r**5 + r**5 + (0*r**4 - r**4 + 3*r**4)*(-4 + 2*r + 4).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(-64))\/((-3)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 331*x**3 - 2*x**2 - 2*x + 2. Let z(f) = -1655*f**3 + 11*f**2 + 11*f - 11. Calculate -11*k(r) - 2*z(r).\nAnswer: -331*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -187911 at least -187911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 14*f + 21 + 174 = 6*p + p, -30 = -p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhnnnnnnnnnnhn. Give prob of sequence nhn.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 330119 to the power of 1\/2, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0685 + 0.0442. What is k rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 59 + 126 = -56 - 69 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*c + 10 = -6*n, -3*c = 4*n + 7. Solve -5*a = -n*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*3*4)\/(sqrt(77)\/sqrt(567) + sqrt(11)))**2.\nAnswer: 37908\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*u - 1. Let j be 1*(-3)\/u*0. Solve j = -t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(108) + 2 + -1)**2.\nAnswer: -12*sqrt(3) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 34 - 7)*(-23*d - 4*d + 3*d) + (4 - 1 - 1)*(0 - 2*d + 0) + 3 - 2*d - 3.\nAnswer: 450*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - 3234\/(-99))\/((-188)\/6)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04855605141 to 3 decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 3611 - 22678 = 28891. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -29*p**3 + 64*p**3 - p - 34*p**3 + 2*p**2 + 7. Give n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30789 divided by 464\nAnswer: -30789\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 96, 628, 2078, 4908, 9580, 16556, 26298?\n\"Answer: 77*v**3 - 3*v**2 + 2*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46514 - -46513.5. Let q = 1.3 - 0.3. Let j = -1 + 0. Which is the closest to -4? (a) q (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -35. Let p(t) = 5*t**2 + 2*t + 7. Let u(g) = 24*g**2 + 11*g + 34. Let m(h) = w*p(h) + 2*u(h). What is the derivative of m(i) wrt i?\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -45, -79, -129, -201, -301?\n\"Answer: -d**3 + d**2 - 20*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 (base 12) in base 7?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 6:10 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/(-27) - (-29)\/((-3016)\/364) - (-29)\/846?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933 + -5 + (-6 - -4).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(((-6643)\/14)\/73)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 - 2 - 6\/2. Suppose 4*u - 4*t - 128 = 0, -u + 2*t = h*t - 7. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1682638, -6730564, -15143770, -26922256, -42066022, -60575068?\nAnswer: -82449394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from knnnnknnnknnnnnnnn?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + d**2 + 18. Let s be i(0). Let q(j) = 13*j**2 + 30*j + 31. Is q(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106262 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: Suppose 4*p + 29*c = 24*c + 118741, 148422 = 5*p + 2*c. List the prime factors of p.\nAnswer: 2, 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 244 + -241 + 4 + (-2 - 47) + (1 - 2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)\/u**(-3\/13))\/(u**1\/u*u*u*u**(-1\/4)) assuming u is positive.\nAnswer: u**(-33\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 653*d - 14470. Determine t(22).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 506180 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3772 divided by 1886?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4557167945 to the power of 1\/3, to the nearest integer?\nAnswer: 1658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(21)\/(sqrt(9)\/sqrt(3)*-3) + 1*(-2 + (sqrt(28)*2)**2) + 1.\nAnswer: -4*sqrt(7)\/3 + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 67411214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -88, -14, 106, 272, 484?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130670 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1505862 and 265503.\nAnswer: 495428598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3, b: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/5, 0.1, -1, -2\/15, -2\/1217?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91810*w**3 - 2*w**2 - 68842*w - 1 wrt w.\nAnswer: 550860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j - 3*y + 3 = 25*j, 0 = -4*y - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 34*u. Calculate the remainder when p(-21) is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*-6*-2*(sqrt(200) - (sqrt(200) - (sqrt(200) + -1*sqrt(200) + sqrt(200) + 3))))**2.\nAnswer: 213600*sqrt(2) + 751684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*j + 276*j + 210*j + 226*j.\nAnswer: -91*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39014462702 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18*-134.491\nAnswer: 2420.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**8\/((s*s*s**39)\/s) assuming s is positive.\nAnswer: s**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -663 - -662. Is -3\/3172 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*a + 14, -41 + 9 = -4*w - 2*a. Is 4 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-12)*2*(-4)\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 10*i**2 + 25*i + 17. Let a be q(-12). Suppose x = -x + a*r + 23085, -46181 = -4*x - r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32956\/15 + -13145\/6. What is the common denominator of g and 133\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*u + 12 = -16, 0 = g + 3*u - 8. List the prime factors of ((-1074)\/9)\/(4*g\/24).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*y - 20 = -217*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h**3 + 4*h**2. Let w(o) = 27*o**3 + 7*o**2. Let s = 660 + -653. What is s*g(a) - 4*w(a)?\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8398154609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -230424?\nAnswer: 231004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 308 - 1.67137.\nAnswer: 306.32863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w - 28*w + 8120 = 0. Let t = 55 - 3. Let d = w - t. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79815.835 rounded to the nearest one hundred?\nAnswer: 79800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0*s - s**2 + 0*s - 5 + 6*s. Let f(o) = o**2 - o - 4. Let l be f(4). Let m = l - 3. Calculate b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - sqrt(110)*-2))*5)\/(-2*sqrt(360)).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h - 8. Let v(p) = -11*p + 12. Calculate -8*c(w) - 5*v(w).\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15648 and 148128.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1 + 3 + 0*h + 53*h**2 + 4 + 3*h + 3*h. What is the tens digit of z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5724 - -17174\/3. Solve 2\/3*v + 0 - s*v**4 - 2\/3*v**3 + 2\/3*v**2 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 16*q - 2412 = 0. What is the remainder when q is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 4:31 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/8)*n*n*n**(-5)*n*n*n)\/((n*n\/(n*n**(-4\/11)))\/((n*n*(n\/(n*n**2))\/n*n)\/n*n)) assuming n is positive.\nAnswer: n**(-109\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 4, -120, 2\/11 in ascending order.\nAnswer: -120, 2\/11, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36837415.\nAnswer: 5, 7367483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5 - 1 = 0. Factor 4*m**b - 12*m - 29 + 20 + 17.\nAnswer: 4*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (8 - (-16 + 13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 1. Let m be (2\/(-1))\/(-6)*3. Let w be a(m). Solve -4*j + j + 9 = w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - 5)*(-6 - -3). Let p be (11\/4)\/(i\/12). Suppose 5*w + 4*h = -18, 10 = -4*w - 4*h - 6. Which is bigger: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 4*q**2 + 4*q - 4. Let u be f(-5). Let z be (-3 - -4)\/u - 1. Solve z*g = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2 - 3\/(-1)). Let a be (36\/(-8))\/3*b. Solve 2*q + a = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 6*o + o + 0 + 0 - 2*o + 3*o + o + (-o + 0*o + 2*o)*(0 + 3 - 2) + 4*o - 2*o - 4*o)*(25*o**3 - 25*o**3 + 6*o**4).\nAnswer: 48*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5062, 3184, 1306?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 702 + -796 - (0 + -81)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**(1\/6))\/z))\/(z\/z**35))\/(z**(-1\/3))**41 assuming z is positive.\nAnswer: z**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3045578\/501 - -6079. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4 + 5)\/3)\/3. Suppose 5*v + 23 = 4*c, -v + 2*v - z = 0. What is the third derivative of 16*n**2 + 13*n**3 + 7 - c wrt n?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2103.5 and 0.01801408.\nAnswer: -2103.48198592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Let p be (-4)\/18 - (-76)\/18. Is p at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -2 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -13586.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35044 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cho when three letters picked without replacement from {o: 1, v: 2, h: 2, n: 1, c: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5862\/(-10)*((-40)\/3)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -16*c**2 - 7134*c - 28276. Determine h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1709.841mm?\nAnswer: 1.709841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.931 + -2.\nAnswer: -2.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1501*z - 2390*z - 4163*z - z - 1516*z)*(4*z - z + z).\nAnswer: -38284*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 + n + 1. Let q = -2 - 2. Let f be -1*2\/q*-2. Let y = -2 - f. Give c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 = 3*q - 3, -3*d + 27 = 3*q. Suppose -q*a - 7 = -37. Factor -b + 12 + 8*b - 2*b**2 - a*b.\nAnswer: -2*(b - 3)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297522 and 240?\nAnswer: 11900880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462421142 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 7) in base 5?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 173 + 2?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1598012.8 and 4?\nAnswer: -6392051.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18*5\/50 + 3609\/1980\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2712786018 to the nearest integer?\nAnswer: 52084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1161626\nAnswer: -2\/580813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + ((-46)\/(-10) - (-3699)\/135).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*s = 12*s - 458 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46627 is divided by 116?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53 + -136.93.\nAnswer: -83.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/10 - (-88)\/5 - 2. Solve -z = -10*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*s - 30*s + 10. Find the third derivative of -15*h**2 - 7*h**5 + 7*h**2 + 21*h**s wrt h.\nAnswer: 840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8*(o**(3\/4)\/o)\/o*(o**1)**(-15\/2))**32 assuming o is positive.\nAnswer: o**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -941621540 divided by 5.\nAnswer: -188324308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -544622 - -1945389799\/3572. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/4 + 25*k**4\/4 + 55*k**3\/2 + 85*k**2\/2 + 115*k\/4 + 29\/4 = 0.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/427793 and -17\/70130.\nAnswer: 4277930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-4) + 3\/12. Suppose 0 = -k*h - 3*h + 10. Solve -b = -0*i - i - h, -i + 1 = 2*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exee when four letters picked without replacement from eeeeeeeeeeeexeeeeeee?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/297)\/((-3515)\/8436).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1747, -7051, -15891, -28267?\nAnswer: -44179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.31 + 1.31. Put -4\/5, -1\/3, -22, x in ascending order.\nAnswer: -22, -4\/5, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26935444 + 0.2.\nAnswer: -26935443.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 215490 (c) 1 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a**(2\/9)\/a)\/a)**14*(a*(a\/a**(-1\/5))\/a*a*a)**(-10\/11) assuming a is positive.\nAnswer: a**(20\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1584*c**3 + 1275 wrt c?\nAnswer: 4752*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 362.8?\nAnswer: -1814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -266, -323, -382, -443?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 - 2 = 0. Let g be (-1)\/(p\/6) + -2. Which is the nearest to -1? (a) g (b) -2\/17 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*w - 93. Suppose 24 = 5*x - s - w, x + 3*s - 16 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 31. Let r = l + 28.00000023. What is r rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.72 + 4.28. Let s(t) = t**2 - 10*t + 1. Let y be s(11). Let d be 6\/(-12) + 14\/y. Sort -0.5, -3, f, d in decreasing order.\nAnswer: f, d, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1304?\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 82, 159, 274, 439, 666, 967?\n\"Answer: 2*o**3 + o**2 + 34*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/132)\/((-18)\/(-8))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1466236.\nAnswer: 2, 37, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2010*h**5 - 4978774*h**4 - 3075635528*h**3 + 9255637752*h**2 - 6162720640*h - 12300800 = 0.\nAnswer: -1240, -2\/1005, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 1, e: 2, t: 1, j: 1, i: 1}. What is prob of picking 1 t, 2 e, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*m - 821*m + 177128 = 1917*m for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357583912.\nAnswer: 2, 7, 6385427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 3, d: 2, w: 1}. Give prob of sequence dd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/24*(-4 - (0 + 2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1 - z + z + 2*z + (1 - 3 + 0)*(1 - 1 - 2*z) - z + 0*z + 2*z)*(-29825 + 29825 + 11570*z)*(-2*z**2 - 2*z**2 + 7*z**2).\nAnswer: 277680*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:42 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1180 + -5?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4 = -2*x - 2, 0 = -2*x - 3*l + 2. Let n = x + 44. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46*32\/128800*10\/2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -752800 rounded to the nearest 10000?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**4 + 2 - 9*t**3 + t**3 + 2*t + 8*t**3 as k*t**4 + b*t**3 + m + z*t + p*t**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2993 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715786 (base 9) to base 13.\nAnswer: 11b104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2283 - -5460. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 1 + 3. Let d = -15 - j. Let o be ((-6)\/21)\/((-18)\/d). Sort 3, o, -5 in increasing order.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 58 = -2*j, 0 = -3*m - 0*m + 4*j + 85. Suppose 612 = -29*b + m*b. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 47?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-72)\/(-1120))\/((-183)\/244)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -22. Solve -t*k - 5*z + 8 = 0, 0 = -3*k + z + 4 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-4 - -3 - 0\/4). Suppose -15 = 2*t - 3*t - 3*p, 0 = d*t + 3*p - 27. Suppose t*c - 2370 = -4*c. List the prime factors of c.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1195 + -1078. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 1549448?\nAnswer: 1549448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + 4 + -2)**2.\nAnswer: 8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:53 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*p + 2*h, 0*h + h + 6 = -p. Let w be 1*((-3)\/6)\/(p\/(-24)). Is (2\/w)\/(2\/(-3102)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/24 - 13*z**3\/3 - z**2. Let r(d) be the third derivative of 0*d**3 + 1\/24*d**4 - 16*d + 0 - 5*d**2. Determine r(i(f)).\nAnswer: f - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34263250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.23 (b) -185 (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times -5024?\nAnswer: 256224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 25 - 19)*6\/180?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-54)\/(-675))\/((32\/(-30))\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -17161445, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*b - 11 = -b, b - 5 = q. Let n(i) = -i**2 - 2*i + 3. Let k be n(2). Sort k, 5, q.\nAnswer: k, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {x: 11, m: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66, 105, 160, 237, 342, 481, 660, 885?\n\"Answer: r**3 + 2*r**2 + 26*r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 58*d + 34. Let w(b) = -3*b**2 - 59*b + 29. Give -6*l(g) + 7*w(g).\nAnswer: -3*g**2 - 65*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 970 = 4*p, 3*n = 4*p - p + 1482. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*l - 710 = -5*m, -3*m - l = -526. Suppose a - m = 5*w, 0 = -4*w - 6*a + a - 135. Let h = w - -803\/23. Which is greater: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-10)\/12)*4\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, q: 4, y: 2}. Give prob of picking 2 r and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((3\/2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*s**3*z**3 - 14*a**2*s**3*z**2 + 3*a**2*s**3*z + 3151*a**2*s*z**3 + 11*a**2*s*z**2 + 2*z wrt z.\nAnswer: -12*a**2*s**3 + 18906*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16542 + -24244. Let m = 9637 - u. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*c + 45, 3*f - 5*f - 4*c = 10. Calculate the least common multiple of f and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-33 + 10) - (1 + (11 - 3)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/14200 and 127\/156200.\nAnswer: 156200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7 - 11*m - 6*m**2 - m**3 + 0*m**2 - 5*m**2. Let f be z(-10). Let t(p) = 8 - p + p**2 - 2 + 0*p + p**f. Give t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 7 = 3*d - 48, -r + 709*d = 711*d - 17 - 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/g**(-2\/3)*g)\/(g\/((g\/((g*g**(3\/4))\/g*g))\/g)) assuming g is positive.\nAnswer: g**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(2\/(-1)))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 4. Let c(l) = 4*l + 5. Suppose 0 = o + 2*r - 5, 0 = -0*r + 5*r - 5. Calculate o*m(t) + 2*c(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56.05 + 61. Let q = 0.05 + l. Which is the closest to 1? (a) q (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69160571 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + -0.02. Let p = 354 - 355.99. Let a = b - p. Is a < 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 500627 (base 10) to base 12\nAnswer: 20186b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23726, 23722, 23716, 23708, 23698, 23686?\nAnswer: 23672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2\/1683, -2?\nAnswer: -2\/1683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + 176\/11)\/(2\/(-595558)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/54 + h**3\/9 + 16*h. What is k in b(k) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**2 - 2*l - 1. Let t = 18 + -10. Calculate the remainder when c(-2) is divided by 15\/(-1 - t\/(-4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z - 5 = 0. Calculate the remainder when 2 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 3.6\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 39 + -3 - 19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 - 4 = -4*j, -1 = 2*j + 5*x. Let k = 0 - 1. Let y be -2 - (k + -5)\/j*1. Which is the closest to y? (a) 1\/3 (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 19*h + 8211 = 0. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t - 657 - 12*t - 71 to o + f*t and give o.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)*z**(-6\/7))\/(z*z**(-1\/12))**(-28) assuming z is positive.\nAnswer: z**(290\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 65 - 128 = 0. List the prime factors of i.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1929 and 9645?\nAnswer: 9645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -25*m - 46. Let y = -214 - -212. Let v be p(y). Suppose -3*s = -4*a + 17, 0 = s + 2*s + a - 8. Solve -z = g - s, z - g - v = g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose -o + 6 - 4 = z. Suppose -184 = -o*v - 2*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**5 + 574*v**4 + 2429*v**3 + 12423894*v.\nAnswer: -40*v**3 + 6888*v**2 + 14574*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**2*x**4 - 2*b**2*x**3 - b**2*x**2 - 2605*b**2*x + 3*b**2 + b*x**2 + 8*b*x - 15995898*x**3 + 9*x wrt x?\nAnswer: 72*b**2*x - 12*b**2 - 95975388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g)**38\/((g\/(g\/(g**(-1\/6)\/g)*g))\/g)**(-1\/4) assuming g is positive.\nAnswer: g**(2717\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(99))\/(5*(sqrt(9) - sqrt(144))).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158147 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**3 + 2\/15*c**5 + 0*c + 7\/60*c**6 - 5\/24*c**4 - c**2 + 0. Let s(m) = 9*m**3 + 5*m**2 - 3*m - 4. Determine 8*s(b) - 5*x(b).\nAnswer: 2*b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/255*((-75)\/36)\/(-155*(-9)\/2232).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 7479*y - 7486*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, w: 4, g: 1}. Give prob of sequence lgww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3835 and 77665653.\nAnswer: 388328265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a0 - b?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 904, 1783, 3016, 4603?\nAnswer: 6544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**9*t**(1\/3)*(t\/(t*t**2*t))\/t**0*((t**3)**17)**(20\/13) assuming t is positive.\nAnswer: t**(2644\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7*-3.9\nAnswer: -27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 814 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6203, 12137, 18057, 23957, 29831, 35673, 41477, 47237?\nAnswer: 52947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 24 - 197*i)*(-3 + 2 + 0)*(-2 + 6 - 2)*(5 - 5 - 5) to l*i + v and give l.\nAnswer: -1970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -684*k*y - 2*k + 76*y + 34261 wrt y?\nAnswer: -684*k + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00129286574 rounded to five dps?\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -77160000 to the nearest 1000000.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 9*f = 6. Let h(u) = u**f + 7160 - 7160. Let m(b) = 53*b. Determine h(m(v)).\nAnswer: 2809*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaunaaahuha. What is prob of picking 1 u and 1 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -x. Solve -x*a - 35 = -5*o, -2*o + 4*a = 2*a - 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2880*r**3 - 2998 wrt r.\nAnswer: -8640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/437309211 or 1?\nAnswer: 1\/437309211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (92\/(-12))\/((-2)\/(-6)). Let j = 42 + d. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 142, 1135, 3830, 9079, 17734, 30647, 48670?\n\"Answer: 142*i**3 - i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 7*w + 4. Let a(h) = -h. Let t(b) = -2*a(b) - r(b). Let z be t(8). Suppose -3*c - c = -z. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let p(t) = -9*t + 1. Let y(m) = p(m) - 3*v(m). Calculate y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 6. Calculate the remainder when 10 is divided by u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.016487377*3.\nAnswer: -0.049462131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 5, r: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*m - 3380, 2357 + 995 = 4*n + 4*m. What is the remainder when n is divided by 229?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 18, 34, 56, 84, 118, 158?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 216 - 210. Suppose d*f = 10*f - 3268. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/5))\/(a**(2\/11)\/a))**(-23)\/(a\/a**(-3\/5)*a*a*(a**3*a*a)\/a*a*(a*a**0*a)**(-6)) assuming a is positive.\nAnswer: a**(-1607\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let n(y) = 2*y + 8. Let r(c) = c**2 + 16*c - 101. Let o be r(5). What is o*u(f) - n(f)?\nAnswer: 2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 + 44 + (-17 - -35) + -37 + -28?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 5*v**3\/3 + 50*v**2 - 220*v + 824. Determine c, given that i(c) = 0.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6918574 by 26.\nAnswer: 266099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 less than 33?\nAnswer: 33.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-90)*5*(-2)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3464850?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -8, -31, -64, -107, -160?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/7)*n**(-1)*n*n*n*n**(1\/7)*n*n*n\/(n*n**(1\/6)\/n) assuming n is positive.\nAnswer: n**(191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - 14\/(-21)*-47.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(-2*sqrt(8)*6 + sqrt(8))*-3.\nAnswer: 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121778213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 8*q - 4*q. Suppose -c - q = -4*y + 7, -24 = -5*y - 4*c. Is 17 a factor of (2*-5)\/((-2)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 6 + (5 - 5) + -27. Let i(l) be the third derivative of -l**4\/24 - 9*l**3\/2 + 3*l**2. Let o be i(v). Let f(n) = -n**2 - 5*n + 2. Give f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 98761, 197517, 296271, 395023, 493773?\n\"Answer: -i**2 + 98759*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15534833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2377 - 2377. Let w = -0.7 + 0.2. Sort h, w, 3\/10 in decreasing order.\nAnswer: 3\/10, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 - -412. Is l a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3546665.\nAnswer: 5, 331, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(3 + -7 - -3*1). Let c(g) = 0 - 8 - 3*g**3 + w - 1 - 7*g. Let j(u) = 2*u**3 + 6*u + 4. Determine 4*c(k) + 5*j(k).\nAnswer: -2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 99 = 3*n, 79*n - 51 = -3*l + 73*n. Let x = 8 + -2. Let u = x + -5. What is the highest common factor of u and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -8*w - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 4*d - 3*s + 1304, -3*d + 2*s = 978. What is the smallest value in 1\/4, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -840700 to the nearest ten thousand.\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -3)\/((-4)\/3). Solve -b - f = 3, f - u + 2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rjbrcjncnbwrnrnrrrr?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1334 + 3?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -3808571.51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (0\/4 + -1). Suppose t = -l - 5 + 7. Let p(y) = 3*y + 4 - l*y**2 - 19 + 11. Calculate p(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6.5, -1.306369, -1\/9?\nAnswer: -1.306369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/((-1)\/(-30)). Let t = -6 + u. Let w = 0.8 + 0.2. What is the closest to w in t, 3\/4, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/(88\/(-396)*(-9)\/(-864)*36).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309593.403 minutes in weeks?\nAnswer: 30.71363125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 72 + 506\/9*h**2 - 136*h + 2\/9*h**4 + 68\/9*h**3 = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 16*s**2 + 75*s - 14. Calculate the smallest common multiple of 451 and u(19).\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 23. Give x(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Suppose -34 = b*p - 219. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14501058 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 h(b) be the second derivative of -2*b**3\/3 + b**2 + b. Let x be 3 + -1 - (-14 + 14). Give h(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(3\/11)))\/s*((s**3*s*s)\/s)\/s)\/(((s*s*s\/(s*(s*s\/((s\/((s**(-19)\/s)\/s))\/s))\/s)*s)\/s)\/((((s*s\/s**(-3\/8))\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-1791\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*1\/1*-1. Suppose 3*b + v + 4*v = n, 0 = 4*v. Let m be 1 - (b - -2)\/3. Does 0 = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7016196nm to micrometers.\nAnswer: 0.0007016196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**4\/12 + 11907*x**2. Let q(v) = -3*v + 1. Let c(i) = 2*i - 4. Let p = -2 - -6. Let a be c(p). Calculate a*y(k) + 3*q(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 2*q**2 + 4*q**2 + (3*q - 4*q + 3*q)*(-4 + 14 + 2*q - 5) to the form k*q + f*q**2 + i and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/((-14)\/4). Let i = -0.124 - -58.624. Let l = i + -58. Which is the closest to 1\/2? (a) 0.4 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by (-91)\/(-4) + 32\/(-56) + (-69)\/(-84)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/60 and -91\/7794840?\nAnswer: 7794840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 260, 3 in decreasing order.\nAnswer: 260, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:31 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*g + 8*g - 4*g - 12*g to the form w + b*g and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(-105)\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5040\/(-156))\/2 + 7\/(1638\/36).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 (base 15) in base 4?\nAnswer: 13121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45539 and 6?\nAnswer: 273234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -2\/3*z**3 - 8*z - 9\/2*z**2 + 0. What is the derivative of r(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 9:08 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 124*v**2 - 97*v + 11202. Give m(124).\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 40*i - 41*i - 7, 5*w - 29 = 2*i. Sort -4, -261, w, -1, 2 in increasing order.\nAnswer: -261, -4, -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2 + 257669432*b + 414955906 wrt b.\nAnswer: 2*b + 257669432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -9 - (14 - 43)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(156) + -2*sqrt(156)*-2)*2)\/(sqrt(768)*1 + sqrt(768) + 1*sqrt(1452)).\nAnswer: -20*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*o - 290 - 4 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + x**3)*(-51*x + 51*x - 12*x**2).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -2.\nAnswer: -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -285*p + 355*p + 196, 3*p + 79 = -5*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 2 = -3*q - 3*r, 2*q + 5*r = 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1782462 and -89\/2486?\nAnswer: 1782462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 2*b + 0*b)*(-4 + 2*b**2 + 4) + 2*b**3 + 12*b**2 - 12*b**2 + (-b**3 + 2*b**2 - 2*b**2)*(-4 + 1 + 2) as i*b**3 + s*b**2 + n*b + f and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*h + 2 = 0, -27 = -w - 8*h + 3*h. Let n = -7809.3 - -7810. What is the third smallest value in -3, n, 0.4, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 - 83. Let a(v) = -14 + 1 - 4*v + 8*v + 52*v**2. Let o(f) = -17*f**2 - f + 4. Let g(x) = u*o(x) + 6*a(x). Let g(w) = 0. Calculate w.\nAnswer: -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 860072929*r**3 - 1712872762*r**2 - 14530816*r - 30752.\nAnswer: (r - 2)*(29327*r + 124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196 - -227. Suppose -2*v + 586 - 32 = 4*p, 5*v - p - 1396 = 0. What is the highest common divisor of f and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.91 - 1.16. Let g = v - -2.25. Let t = 7 - 2. Which is the third biggest value? (a) -2\/15 (b) g (c) -0.07 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-6)*(-350)\/28. Calculate the greatest common factor of 15175 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -82, -118, -166, -226?\n\"Answer: -6*a**2 - 6*a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(27\/9))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568415079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/166 - -5277\/1162. Let z = 181\/35 - d. Let i(r) = r**2 + 3*r - 4. Let h be i(-4). Which is greater: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*2\/(-5))\/((-108)\/72)*(-1260)\/48888?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -13*a - 2. Let k be d(-4). Suppose k = -2*j + 7*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65069871*h**6 + 604*h**2 + 3*h - 824.\nAnswer: 7808384520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49550 is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:11 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(51\/(-12) + 6). Let a(z) = -z**3 + 2*z**2 + 3*z + 4. Let p be a(3). Suppose p*q - 12 = -0*q. Solve 8 + l = -q*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -194. Let p = -197 - v. Solve 3 = -2*c - p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 7:58 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 16 = -3*q. Let v(l) = 5*l**3 + 3*l**2 + l + 9. Let j(y) = -y**3 - y**2 + 1. Let s(p) = q*j(p) + v(p). What is s(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 3 - -3) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 4*g + 29. Let a(u) = 2*u**2 + 5*u + 30. Determine -6*a(y) + 7*s(y).\nAnswer: 2*y**2 - 2*y + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.795 times 4?\nAnswer: 127.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2. Let s(i) = i**2 - 74*i. Determine s(n(t)).\nAnswer: 9*t**4 - 222*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 0, -4*h - 5*t + 18 + 189 = 0. Let y = h - 22. Let j = -24 + y. Solve -j*d + 3 + 7 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -746*d**3 + 839856*d**2 - 839856*d**2 + (0 + 0 + 2)*(2*d**3 + 2*d**2 - 2*d**2) - 2*d**3 + 6*d**3 - 3*d**3.\nAnswer: -741*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b. Let w(r) = -526*r. Determine z(w(s)).\nAnswer: 1578*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -19*b**4\/12 - 4*b + 34. Let v(y) = -5*y**2. What is f(v(n))?\nAnswer: -475*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4, -0.084, 2.\nAnswer: -4, -1, -0.084, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 38 = -3*q, 0*q - 2*c + 46 = 4*q. Is ((-6)\/q)\/(2\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(193 - 45*x - 193).\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.041, 2\/7, 3\/4, 1 in descending order.\nAnswer: 1, 3\/4, 2\/7, -0.041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138050*m**3*w**2 + 4*m**3*w + 28*m**3 + 3*m**2 - w**2 - 3*w wrt w?\nAnswer: -276100*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 27*j - 25. Let g = 393 + -400. Does 20 divide f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 3084?\nAnswer: 18504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -532*c**3 - 1941*c**2 - 673*c**3 + 555*c**3 - 614*c**3 wrt c?\nAnswer: -7584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-4*(-5)\/80*8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-623 + 623 - 12*z)*(z**2 + 3*z - 3*z) to t + g*z**3 + d*z**2 + p*z and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 280027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - 5*t**5 - 8*t + 28*t + (-t**4 - 3*t**4 + 3*t**4)*(2*t + 0 + 0).\nAnswer: -4*t**5 + 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l - 85. Let o be f(15). Suppose -18*p = o*x - 14*p + 31, 3*x - 7 = 4*p. Sort x, 7, 1, 2 in descending order.\nAnswer: 7, 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-3)\/(sqrt(20)\/(sqrt(90)\/sqrt(9)) + sqrt(2)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18016 rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -15. Suppose c - 24 = -n*c. What is the remainder when 47 is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Let z(j) = -19150*j**2 + 26*j - 26. Let l(n) = 2128*n**2 - 3*n + 3. Let c(b) = 26*l(b) + 3*z(b). What is f(c(a))?\nAnswer: -4244*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 482.5763 litres?\nAnswer: 482576.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*q - 5*q. Calculate the greatest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 0*r - 1\/3*r**3 + 0*r**2 + 1\/360*r**6 + 0*r**5 - 2 + 1\/24*r**4. Let l(k) be the third derivative of a(k). Determine l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 22. Suppose 3*l + 12 = 0, 7*s + 4*l = 3*s - 24. What are the prime factors of b\/(3\/(-1)) + s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112 is divided by 1040?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7819726, 15639452, 23459178, 31278904?\n\"Answer: 7819726*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 11*c - 25. Suppose 0 = -4*g + 2*s + 18, -4*s + 12 = c*g - 4. Calculate the smallest common multiple of g and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 99351417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -183b1a4?\nAnswer: -183b197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2150 (base 6) to base 7.\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/175 and -2\/1175.\nAnswer: 8225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 6*c - 42 = 0, 0 = -4396*q + 4398*q - 2*c - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(70)\/(sqrt(360)*2).\nAnswer: sqrt(7)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*y - 33*y - 100. Suppose -y*u + 13*u = -7287. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/(6\/(-4)). Is 2\/11 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9443 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*x + 3*l, 4*l - 4 = 4*x - 36. Solve x = -0*k + 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -0.5 in increasing order.\nAnswer: -16, -4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 2*j + 3*j)*(2 - 1 - 3) + 0 - 12 + j - 12*j to the form w*j + x and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/81 and 91\/90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 40 = -2*v, v - 5*p + 2954 = 2952 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -840, -835, -830, -825, -820?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/3)\/((-8)\/12). Suppose -q + l*v = -3, 7*v - 2*v + 3 = -2*q. Differentiate -q + 5*h + 2 - 3*h wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -305, -1287, -3277, -6611, -11625?\nAnswer: -18655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 190.2 - 189.4. Which is the third biggest value? (a) -5 (b) g (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4197147.\nAnswer: 3, 17, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 108.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 302*c - 2. Let g(v) = -v. Calculate g(d(x)).\nAnswer: -302*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469348989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -476001, 1.\nAnswer: -476001, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 0*d**2 - 4*d**2 + (0*d + 0*d + 2*d)*(1 - 1 + 2*d) + (-10*d + 3*d + 2*d + (1 - 3 + 0)*(-2 + 2 - d))*(4*d + 2*d - 2*d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344)*-4)\/(sqrt(3)*-4*-4).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628416 divided by -12.\nAnswer: -52368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-510)\/8 + 67\/2144*-104.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2729, -2560, -2337, -2060, -1729, -1344, -905?\n\"Answer: 27*p**2 + 88*p - 2844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*z - 27, -2*t - 4*z + 26 = -0*t. Let i be ((-1)\/(1\/t))\/(-3). What is the highest common divisor of i and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10003, 20232, 30461?\nAnswer: 40690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -105297, 5 in increasing order.\nAnswer: -105297, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*m + 398 - 70, 3*v = -3*m + 180. Suppose 2*z + u + v = 0, -89 = 2*z + z + 5*u. List the prime factors of 1558\/22 + -1 + (-6)\/z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013816 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: What is the highest common divisor of 3009852 and 20844?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -29, -56, -97, -158, -245?\n\"Answer: -a**3 + 2*a**2 - 18*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21646, 43294, 64944, 86596, 108250?\nAnswer: 129906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 = -7*h + 4*n, 0 = 164*h - 161*h - 2*n + 159 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*k + 34 + 36, 0 = 5*k + 2*l - 110. Suppose -27*y + 31*y - k = 0. Solve -y*v + 4 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 2*r. Let h(g) = 3*g**2 + 4*g. Let l(w) = -5*c(w) + 3*h(w). Factor l(j).\nAnswer: -j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1403, -1402, -1401, -1400, -1399, -1398?\n\"Answer: z - 1404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -421 - 452. Let t = -290 - a. Solve 2*x = -2*h, x + t = 4*h - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m**5\/3 - 72*m**4 + 192*m**3 - 416*m**2\/3 - 32*m = 0. What is m?\nAnswer: -2\/11, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3357 + -2258. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 3, j: 1, b: 3, h: 2}. What is prob of sequence qi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zlzzlz?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291677?\nAnswer: 2291677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3498 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Let w(r) = -3 + 0 - 5*r**2 + 8*r + r**j + 2 - 3*r. What is the remainder when w(4) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 + (-40)\/(-3). Let z be 3\/6 + 262\/4. Let s = z + 4. What is the highest common factor of m and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.1 and -366.\nAnswer: -349.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - w - 1 = 3*w, -w = 1. Which is the biggest value? (a) u (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 207967980 divided by 5?\nAnswer: 41593596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhjlhjjljjttjjtjjljj. Give prob of sequence lj.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 9*z = -10*z + 835937, 83588 = h + 2*z. Is h a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 2) + (22 - 15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 != -309\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 3*v**2 - 5*v - 6. Determine x(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 4*m - 9*m + m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32280559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 9. Let f = -42 - -40. Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 q, and 1 a when four letters picked without replacement from {a: 1, p: 1, e: 4, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 + -88. Suppose 5*z = -o + 145. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b + 15*b - 16*b - 4*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 803983.6 centimeters in nanometers?\nAnswer: 8039836000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -433 (base 6) to base 10\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in 198, 2\/11, 2, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03 and -371313.22441?\nAnswer: 371313.19441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1507*z**2 + 475*z + 29. Let h(n) = -503*n**2 - 158*n - 10. Let q(b) = 7*h(b) + 2*p(b). Find o such that q(o) = 0.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, 3, 89891?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 70*r**2 + 4*r**2 + 3 + 236*r**2.\nAnswer: 310*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-130)*((-450)\/48)\/(-15). Which is the closest to 0.1? (a) u (b) 2\/3 (c) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32209492 divided by 1099?\nAnswer: 29308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48181305 and 5.\nAnswer: 240906525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29295 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159515 - 5380*m + 7151*m**2 + 20012 - 7101*m**2 - 34805 = 0. Calculate m.\nAnswer: 269\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 + 0.02. Let o = 0.9 - 1. Let k = o + 0.5. What is the third smallest value in k, r, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 4:43 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -195056351330945 and 0.4.\nAnswer: -195056351330944.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.38 + -14.38. Let u = n + 13.8. What is the third smallest value in 0.05, u, 0.5, -1\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4244 divided by 1\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -623 + 1163. What is the smallest common multiple of 12 and s?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 2*o)*((-4*o**2 + o**2 - o**2)*(-2 - 7 + 1) + 5*o**2 + o**2 + 0*o**2).\nAnswer: 38*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -73*m + 3. Suppose -141*p + 138*p = -6. Let y(r) = 71*r - 2. Let x(w) = p*h(w) + 3*y(w). Let l(c) = c. What is x(l(t))?\nAnswer: 67*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 38. What is the remainder when x is divided by (378\/24)\/(15\/280*14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 263*i - 4187. Let q be g(-15). Put 0.03, q, -0.3, -0.5, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.03, -0.3, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 636.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Let k = -6 + u. Let h be (k\/4)\/((-2)\/(-12)). Which is the smallest value? (a) -1 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229641 is divided by 8503.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/27 and -20\/681.\nAnswer: 6129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 627311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 568 and 426.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77347?\nAnswer: 77347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:40 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35504 bigger than 35503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1793751224?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 278.7, 183.87, -2 in ascending order.\nAnswer: -2, 3\/2, 183.87, 278.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -38790 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15241 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 + 4*g**2 - 5*g + 7. Let z(a) = 9*a**3 + 11*a**2 - 14*a + 20. Let c = 489 - 485. Determine c*z(v) - 11*j(v).\nAnswer: 3*v**3 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**3 - 5*s**2 - 19*s - 117. Let k(b) = -7*b**3 - 7*b**2 - 18*b - 117. Let j(g) = -3*k(g) + 4*o(g). Is j(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -25\/6, 5042, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -2*r, -1355 = -5*t - 5*r. Suppose -27*u = -21*u - t. Calculate the remainder when 177 is divided by u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -38. Which is the closest to 0? (a) p (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 60*s - 2. Let t(p) be the second derivative of p**3\/6 - 5*p**2\/2 + 3*p. Let l be t(6). What is the units digit of n(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 41*w**2 + 236*w + 30. What is b(34)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -109.74 (c) 0.5 (d) 3\/34 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (504\/(-20))\/(27\/630*-7)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 + 397\/3. Let z = q - -4\/15. Which is the third smallest value? (a) 1 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 1116 = 6. Suppose 5*k + 69 = 2*a, -26 - f = -5*a - k. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/6)\/(1375\/(-690) + 2). Let s = 3 - f. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 23, 10 in descending order.\nAnswer: 23, 10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*v - 120 = 0, -62 + 36 = 2*j + 5*v + 19 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 140 = -3*b. Suppose 4*o - b = -12. Suppose 3*n + 56 = 2*r, 5*r - 72 - 54 = o*n. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 16*c. Let l be k(16). Suppose l = -4*q + p + 64, -2*q + 5*p - 55 = -7*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 775577 and 4103?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -23902024 to the nearest ten thousand.\nAnswer: -23900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8*r - 1. Let o be b(3). Let p = o - -28. What is the units digit of 30 + -3 - (-2 + p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f + 2*k + 14 = 0, -5*f - 5*k = 25. Do f and -4 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 153253.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 230, -0.2, 0.083, -0.4, -0.7, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - i)*(4 + 0 - 1) - 4*i + 6*i - 3*i + 19*i - 22*i + 61*i - 2*i + 4*i + 0*i.\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czaa when four letters picked without replacement from ccacczazc?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**3*y**4 + 2*r**3*y + r**3 - 1155*r**2*y + 3*r**2 - 22073750*r*y**3 + 452*y wrt y.\nAnswer: -24*r**3*y**2 - 132442500*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 + -95. Let j = 10.00042 - n. Round j to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4711333, 18845322, 42401953, 75381220, 117783117, 169607638, 230854777, 301524528?\nAnswer: 381616885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 10*b + 10 = 3*b - d, 3*d = -b - 30 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*y**3 + 2*y**2 - 2*y**2 + 111*y**3 - 334*y**3.\nAnswer: -104*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10802951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -21234?\nAnswer: -21244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 210 - 210 - (2\/(-6))\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17813 and 6070822?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 - 23*m - 33. Calculate l(-14).\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/15 - 14*a\/5 - 76\/15 = 0. What is a?\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - 2 - (1 - 0). Suppose -2*d + n = -2*n + 10, -11 = -u*d - 2*n. Put d, 5, 0.4 in descending order.\nAnswer: 5, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2172 - 163?\nAnswer: -2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 57, 113, 167, 213, 245?\n\"Answer: -m**3 + 5*m**2 + 48*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfyw when four letters picked without replacement from yfyw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 5291919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-21)*1)\/(1\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 20*h**3 - 83*h**2 - 124*h - 60.\nAnswer: -(h + 1)*(h + 2)**2*(h + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/7 and 11\/36324.\nAnswer: 254268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 36*f**2 - 4*f + 152. Let v be r(36). Let u be (-1)\/((-3)\/114) - -2. Calculate the greatest common factor of v and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 756422.113 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40649 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 303\/22 + -83\/6. Let z = y + 142\/165. Let i(b) = -b - 1. Let s be i(-3). Which is greater: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**2 + 52*l - 648. What is n(12)?\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 10*j**2 + 19*j + 6. Let z be 2*8\/((-4)\/(-2)). Let x be c(z). Let b = -147 + 217. What is the greatest common factor of b and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o + 5 - 2*o - 3*o - o wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 371507971?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l + 1. Let g be c(0). Let i(p) = -2*p + 3*p - g - 3*p + 0. Is i(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19497*o**4*q - 4*o*q + 1378*q + 257 wrt o.\nAnswer: -77988*o**3*q - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2734402 and 1?\nAnswer: 2734403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 15. Let m be k(12). Let z(b) = b**2 - 3*b. Let o be z(m). What is the first derivative of -1 - 4*h**2 + o - 3 wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5\/17 - 14140*a**4\/17 + 99064*a**3\/17 - 99108*a**2\/17 - 212310*a\/17 = 0.\nAnswer: -7077, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2240 divided by -10.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 270 = -14*m + 74*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -483 + 126. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 43*l - 6. Let z(d) = 16*d**2 - 216*d - 33. Determine 22*s(k) - 4*z(k).\nAnswer: 2*k**2 - 82*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -13. Let r = 0.008 - -2.092. Let i = r - u. Which is the closest to i? (a) 3\/7 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 202, 928, 2646, 5848, 11026, 18672, 29278?\n\"Answer: 82*v**3 + 4*v**2 + 140*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3674660853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**2. Let x be m(0). Let o(r) be the first derivative of -4\/3*r**3 - 2 + x*r**2 - 8*r. Differentiate o(t) wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/105)\/(3\/(-6))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366*-8623.8.\nAnswer: 3156310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 116*k + 23. Let c(w) = 174*w + 34. Let b(i) = 5*c(i) - 8*l(i). Let u be b(-14). Suppose -3*d + u = 3*f, 3*d - 838 = f + 4*f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 25 = -4*m - 26, 4*t + 5*m = -40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -28, -39, -64, -109?\n\"Answer: -y**3 + 2*y**2 - 2*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1163*k**3 + 1165*k**3 + 1150*k**3 - 4615*k**3 + 1160*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*-3)\/sqrt(7).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10)\/(-4) + (-18005)\/(-104)*44 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(4\/3)*y))\/y**2*(y**(-12)*y)\/(y**(-5)*y) assuming y is positive.\nAnswer: y**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*d - 119, 14*b - 12*b - 111 = -3*d. Suppose 340 + 3260 = b*k. Calculate the greatest common divisor of k and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 + 165. Let t = -9 - -6. What is the tens digit of (-58)\/t - (-2)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from gnebfegnfnng.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 150473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/9)\/(s**(1\/42)\/s))**26)**(-20))**(-1\/4) assuming s is positive.\nAnswer: s**(6175\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 14 = -16. Let z be (-4)\/6*x\/(-2). Suppose -16 = -5*y + t, 0*y - 36 = -4*y - z*t. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 890024*n + 21360573. What is m(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + f = 6*f - 20, -5*k - 43 = -3*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2 + 8*k - 9. Give h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 3, -0.07, 5, -2\/11?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 + 2*r**2 - 2. Let n = 0 - -2. Let u(y) = 4*y**3 + 3*y**2 - 3. Suppose -11*b - 27 = -2*b. Calculate b*m(w) + n*u(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819346 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7841.494 decades?\nAnswer: 78414.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-50)\/6)\/(188\/141))\/((16\/4)\/16)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99612 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 95.48 * 5\nAnswer: 477.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6852*o*q**3*t**3 + 4*o*q**3*t**2 + 4*o*q**2*t**3 - o*q**2 + 11*o*t + 5*q**2 + 2*q*t**3 wrt q.\nAnswer: 41112*o*t**3 + 24*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(5 - (-1 - 0)). Let a be 2\/i - 10445\/(-45). Let c = a - 232. What is the second biggest value in -0.1, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 19. Is s(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i - 65 = -4*c, -4*i + 4*c + 360 = 0. What is the remainder when i is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/78)\/(12\/(-90)*6\/4)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.675 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.1614 and 1517509473?\nAnswer: 1517509470.8386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226 + -217. Solve 4*q - y*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30141539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -12. Sort z, -0.5, -4.\nAnswer: -4, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51093788 + -43\nAnswer: 51093745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4717485577227202461696*j**4 - 2695694403635829276672*j**3 - 6651701283156480*j**2 - 5471075775*j - 1500 = 0.\nAnswer: -5\/6078976, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8974443t?\nAnswer: 897444.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/5300 and 24\/1007.\nAnswer: 100700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 136, 29, -5, 5, -11, 3.\nAnswer: -11, -5, -3, 3, 5, 29, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 92660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 15*r - r**2 - 21*r + 0)*(0 - 3 + 2)*(-1 - 2*r + 1).\nAnswer: -2*r**3 - 12*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 362*f - 1825. Determine v(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27085042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, 2, 5, -2752 in descending order.\nAnswer: 5, 2, -136, -2752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4))**44)**28 assuming l is positive.\nAnswer: l**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128425?\nAnswer: 5, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -5d4039c?\nAnswer: -5d4039c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -1\/3, -0.2, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -678\/89 (c) -1462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, 820\/7, -64.5 in increasing order.\nAnswer: -64.5, -2\/29, 820\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*t**2 + 163 + 381*t - 913 - 3*t**3 + 469*t**2 = 0. What is t?\nAnswer: -2, 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -10 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 380574*y**2 - 5708611*y + 12. Give u(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111199 and 188639.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 16*g - 15. Let t(z) = z**2 - 15*z + 14. Let c(m) = -6*b(m) - 7*t(m). What are the prime factors of c(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(432)*-6 + sqrt(432) - (sqrt(432) - 6*(2 + sqrt(432))))**2 - 2*sqrt(144)\/sqrt(3)*6*-2.\nAnswer: 7008*sqrt(3) + 248976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = 42*l + 264 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5 + 620*y**4 - 33516*y**3 + 701092*y**2 - 3764768*y.\nAnswer: -4*y*(y - 49)**3*(y - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -157*u - 16. Let y be k(-3). What is the greatest common factor of 70 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:39 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*l + 42*l - 134 = 207 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.44118 to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 56. Suppose 3*a + 3*r - 33 = 0, 5*r = -3*a + 5*a - 1. What is the smallest common multiple of a\/((-2)\/(-4 + 2)) and z(32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-1)*((u**(-2\/3)\/u)\/u)\/u*u*((u*u\/((u*u*u**(-1\/11)*u)\/u*u))\/u)\/u)\/(u**(-2\/9)\/(u**(1\/8)*u)*(u\/u**5*u*u)\/(u*u**1*u)) assuming u is positive.\nAnswer: u**(1403\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*i + i - 44, -3*b - 28 = -4*i. Let y = 20 - i. Let o be (y - 10) + 1*-2. Does o = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + m. Suppose 6*a + 3*l - 7 = 2*a, -4*l + 6 = 2*a. Let c be p(a). Let b(o) = 5*o + 3. Let z(v) = -9*v - 5. Let k = 6 - 3. Give c*b(f) + k*z(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*((-114)\/12)\/19. Solve -j*m - 15 = 13*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 5*f**4\/12 - 6*f**2 + 11*f + 4. Let j(z) be the first derivative of i(z). Differentiate j(n) with respect to n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(2\/(-1)))\/1. Suppose u = -5*v + 4*v + 7. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*v**3 - 201*v**2.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(2\/33))\/q)\/q)**(-42)\/((q\/q**(-3\/7))\/q*q**(-2\/29)\/q) assuming q is positive.\nAnswer: q**(-4254\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -104*u - 1049. Let d be b(-11). What is the highest common divisor of 40 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 9879.\nAnswer: -987.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1728 and 91503.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2339 > -2339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -930*n**3 + 4*n**2 - 19*n - 19. Give v(-1).\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10692.483 rounded to the nearest 100?\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is cd (base 15) in base 4?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k + 6. Let p be k - (-32)\/(-18) - 0. Let n = 201006\/11 - 20301628\/1111. Is n less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3370 - 3370 - 26*q**2 - q**3)*(0 + 0 + 3 + (-2 + 3 - 2)*(0 + 0 - 1)).\nAnswer: -4*q**3 - 104*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8662 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -376285?\nAnswer: -376285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(2\/13)\/j))**(2\/13))**(-5\/7))**29 assuming j is positive.\nAnswer: j**(-3190\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 3, 0.34, 341\/6, 8\/51, 1 in descending order.\nAnswer: 341\/6, 3, 1, 0.34, 8\/51, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -852 + -599. Suppose 0 = -3*f + 1104 + 1443. Let c = n - f. What is c rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f = -4539 + 5820. Calculate the remainder when 3812 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*m + 11, -5*n = 74*m - 77*m - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**2 - 7*f**2 - 2*f**2. Let q(h) = -1197*h**2 + 1207*h**2 + h + 5*h - 6*h. Give o(q(s)).\nAnswer: -200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4156 - -4?\nAnswer: 415a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 62478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3641508072 - -1.\nAnswer: -3641508071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**4 - 2*a**4 - 2*a**4)*(-1 + 1 + a) - 352194*a**3 + 84*a - 5*a**5 + 352194*a**3.\nAnswer: -4*a**5 + 84*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 25. Let w = p + -2. What is the remainder when w is divided by (13 - 1)*(-3)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100061 = -83*h + 95247 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97531*l**3*n**3 - 6161*l**3*n**2 + 2*l**2*n**5 + 6*n**2 wrt n.\nAnswer: 585186*l**3 + 120*l**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3554 + -452. Let g = a - 18539\/6. Calculate the common denominator of 99\/4 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 2\/9, 179.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 11*d - d + d as k + s*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 542 - 533. Let k(w) be the second derivative of -7\/10*w**5 + 0*w**4 - 5\/2*w**3 + c*w + 0 + 0*w**2. Find the second derivative of k(s) wrt s.\nAnswer: -84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t - 5*t**4 - 3*t**4 - 3*t**2 + 16*t**5 - t + 7*t**4 wrt t.\nAnswer: 960*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*k - 4 + 7, a - 4*k = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + s. Let b(r) = r**3 + r**2 + 1. Let d(g) = b(g) + z(g). Give d(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38613215903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 160*g - 68. Let m(a) = -7*a + 3. Let o be 17*-6*124\/93. Calculate o*m(r) - 6*c(r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176019664.\nAnswer: 2, 1303, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**3\/3 - 3*i**2\/2 - 1. Let m(s) = -s + 1. Let d be m(2). Let f be d - (-1)\/2*-4. Calculate h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17106, 34190, 51276, 68364?\nAnswer: 85454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 27 (b) 1\/325 (c) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 6 - 9)*(-24*i - 24*i - 4*i + (-4 + 2 + 1)*(4*i - 2*i - 4*i)) to the form m*i + c and give m.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 3:40 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -5*x + 54. Let n = 50 - x. Suppose r = -4*d + 80, 3*r = -4*d - 18 + 98. What is the smallest common multiple of n and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 30*s + 13. Let h be g(-2). Let x = 48 + h. Find the common denominator of 4\/(-66)*(x + 125\/(-2)) and -12\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 f when four letters picked without replacement from flffflfflffllffllff?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6621 is divided by 2134?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 0. Let d be 2 - (-13 - -17)*(-2)\/4. What is the smallest value in -0.1, d, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + 4 + -2*sqrt(1100) + 3 + 2*(sqrt(1100) + 2) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 39. Suppose -f*l + 2 = -10*l. Let x(y) = -2*y**2 + 2*y. Let g be x(l). What is g rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 2. Suppose 0*u = 4*v + u - 69, -3*u = -a*v + 65. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 2*v**3 + 2*v**3)*(-63 + 30 + 40) - 53*v**3 - 32*v**3 + 12*v**3.\nAnswer: -52*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 17955.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 45210*u**3 + 135675*u**2.\nAnswer: -5*u**2*(u - 3)*(u + 9045)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 5*h - 4. Determine d(7).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqlln. Give prob of sequence nlq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 6 - 4*g + 4)*(-5*g + 100*g + 22*g).\nAnswer: -117*g**2 - 234*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -33974 times 7\nAnswer: -237818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.77 + -35. Let m = h - -5.23. Let n = -3 - -6. Which is the closest to -2\/7? (a) n (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4854 + -14563\/3. What is the nearest to f in 1, -22, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -36\/18541 (c) 0.087\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -19. Suppose -2*h = h + 27. Let k be (-8)\/3*h\/(-4). Is j greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49273, 49257, 49235, 49213, 49197, 49193, 49207?\nAnswer: 49245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.7 * -0.05.\nAnswer: -0.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 17*v**2 + 8*v + 55. Let l(k) = 11*k**2 + 5*k + 39. Calculate -8*l(s) + 5*m(s).\nAnswer: -3*s**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (0 + -17 + 12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/4)*(q**(2\/9)\/q)\/q*q*(q*q**16)\/q**(-10) assuming q is positive.\nAnswer: q**(953\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 39*o**2 + 12*o + 22. Let v be p(34). Suppose v = 7*b + 8*b. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -18*i**2 + 3*i + 19. Suppose 3*k = -12 + 6. Let g(z) = z**3 + 91*z**2 - 15*z - 96. Let j(u) = k*g(u) - 11*y(u). Does 10 divide j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441 is divided by 242.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -11, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a factor of 2348436147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2 = 2*k, 3*z + 4*k + 4 = 0. Suppose z*n = 2*n - 6. Suppose -44 = -n*h - h. What is the greatest common factor of h and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101231032030 (base 4) to base 5\nAnswer: 2142013201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.5724 and 0.05152.\nAnswer: 0.493170048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-20))\/(((-2223)\/26)\/19)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -29, -77, -165, -305, -509?\n\"Answer: -2*m**3 - 2*m**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/891629?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-11\/6)*t)\/(t**(1\/25)*t))**(-6\/11))**(-3\/5) assuming t is positive.\nAnswer: t**(-843\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -75?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-15)\/(-80)*(-1820)\/(-63) and -93\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - l + 10, 0 = 9*h - 7*h + 4*l + 2. Let z be 8 - 1*(0 + 3). Sort 4, z, -4, h in descending order.\nAnswer: z, 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 65 = 5*l. Suppose -1 + 7 = 2*f - g, 3*g = 4*f - l. Suppose 5*u + 6 = f*t - 10, 4*u = 0. Solve 0 = -4*m + t*i + 20, i + 0 = -5*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + ((-12 - -13) + (7 - 2) - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1\/2, 23\/4, -1, 12, -5, -96?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11865918 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*x, 0 = -3*x + x - 4. Let k = -13 - d. Let b(p) = -p**3 - 6*p**2 - 6*p - 2. Let r be b(k). Solve r*y - 18 = -3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4726 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/27 - (-16)\/(-396). Sort 2, -0.7, p in descending order.\nAnswer: 2, p, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p - 11. Let q be g(-5). Suppose 12 = c + q*h, -4*h = 2*c - 7 - 21. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 18.7 (b) 2 (c) 4 (d) -5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 - 16 = 0. What is the remainder when c\/18 + (-236)\/(-9) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, f: 1, t: 5}. What is prob of sequence foto?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25158846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -21. Let -1\/2*d**2 + 1\/2*d**3 - 1\/2*d**5 + 0*d + 0 + 1\/2*d**p = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4145608*i**3*l - 11*i**2 + 379869*i*l wrt i?\nAnswer: 24873648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + -3. Let l be 36\/z*(-3)\/4. Put l, -4, -5, -12 in increasing order.\nAnswer: -12, -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/2 - 26*w + 53\/2 = 0.\nAnswer: -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/180 and 751\/360 + (-29)\/261.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 326 + -19cb?\nAnswer: -16a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 12:13 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2755*f**2*q**2*z**2 + 4*f**2*q**2*z + 9759*f**2*q**2 + 3*f**2*q*z + 255*f*q**2*z**3 wrt z.\nAnswer: 5510*f**2*q**2 + 1530*f*q**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 799*a*d**3*v**2 - 3*a*v**2 + 123*d**3*v**2 + 4*d**3*v with respect to a.\nAnswer: 799*d**3*v**2 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4\/(-2) + 11. Let s(h) = 3*h**2. Let x(v) = 2*v**2. Give c*x(d) - 6*s(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y - y + 3*y)*(-2*y - 3 + 3*y + 5) - 144*y + 2*y**2 + 225*y - 107*y in the form a*y**2 + r*y + s and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((14\/(-6) - -3)\/(42\/(-21))). What is the fourth smallest value in b, -4\/5, -4\/3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5104556315 + 6?\nAnswer: 5104556324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -19. Let b be (-15)\/s*-2 - 3\/(-4). Suppose 12 = -7*r + 61. Solve -b*a = 3 - r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -392 - -394. Solve -c + a = 3*l, -2*c + 8 = l + 2*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - t - 2 + (2 - 1 + 3)*(4*t - 6*t + 4*t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/30 + (-242)\/10. Let z be (-20)\/3*l\/10. Is 14 a factor of (2 - z)\/((-6)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 248\/56 + -5 + 61\/(-28). Suppose -6*z + z = 45. Let w = 14 + z. What is the second smallest value in w, 0, a, 0.9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 7:36 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2804, 5637, 8480, 11339, 14220?\n\"Answer: n**3 - n**2 + 2829*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:31 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 21. Suppose z = 5*d - 8 - 12. Suppose -4*o - a = -4, -2*o = -3*o + d*a - 16. Solve -4*w + 7 - 27 = o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hihd when four letters picked without replacement from hhddiiigdcdy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 2 - (0 + sqrt(17) + 2)) + (1 + sqrt(153) + 1)*-4)**2.\nAnswer: 32*sqrt(17) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4\/9 - 82*v**3\/3 + 374*v**2 - 13706*v\/9 + 1176 = 0.\nAnswer: 1, 7, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47, -545, -1559, -3001, -4877, -7193?\n\"Answer: -y**3 - 205*y**2 + 30*y + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6670950369 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:50 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x + 3. Let r be ((-18)\/(-15))\/(1\/(20\/(-54))). What is the third biggest value in r, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 11. Let b be q(11). Let x(n) = 0*n + n + n + b*n. Let l(m) = 14*m**2. Give x(l(c)).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 4*j**2 - j - 2. Let l be g(4). Let n be (-9)\/l + -1 - 0. Factor -1\/2*f**5 + 0 + 2*f**4 + 2*f**2 - 3*f**3 - n*f.\nAnswer: -f*(f - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -148 + 132 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 375602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-1 - -1)) + 27. Let x be z\/(2\/((-528)\/3)). Round x to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-42) - 197\/(-7)*-2. Let t be (-244)\/n*2 - (-4)\/14. Let c(b) = b**2 - 4*b**2 + t*b**2. Let z(w) = -w. What is c(z(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 64. List the prime factors of 244*2\/s*-2.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 15) + (9 - -1) + (17 - 28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2 - 2 + 2*u + u + 0*u. Let v(d) = -4*d + 3. Let l(p) = 2*n(p) + 3*v(p). Is l(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 14, -4, -3, 2, -7.\nAnswer: -25, -7, -4, -3, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60, 4, -2\/7, -139, 0.4, 13, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = 2*c. Let n be 10\/(4 + -2) - c. Solve -2*w + h - n = 0, 0*w - 5*h = 3*w - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 - 7*x**3 - 2*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*v + 2*v. Let s = 3218\/7 + -460. Let w = -0.3 + -0.7. Which is the nearest to s? (a) w (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9758420?\nAnswer: 2, 5, 7, 43, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 1. Let r(h) = -912*h - 432. What is 864*b(o) - 2*r(o)?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14*1 - (-4 + 6). Let s = r + 18. Factor 8*u**3 - 9*u**4 - 3*u**2 - s*u**3 - 6*u + 2*u**4 + 10*u**4.\nAnswer: 3*u*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 25. Let h be d(8). What is the remainder when 146\/1 + -3 - (h - -3) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 22*r + 84. Let k be 2 - (-3)\/((-6)\/4). Solve k*a + r*a + 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3775936*g - 256 = 3775904*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 6, -0.4, -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3889 is divided by 282.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1 - (-10 + 10)) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5*-2*sqrt(325) + sqrt(325))*-1 - ((sqrt(325) + 2)*-3 + -5))**2.\nAnswer: -880*sqrt(13) + 20926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 739, 2416, 5019, 8530, 12931?\n\"Answer: -3*t**3 + 481*t**2 + 255*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/14)\/(5 + -2 + -2). Which is the closest to -1.3? (a) 2\/7 (b) 4\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:36 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140144239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2. Let q be -1 + (-2)\/((-4)\/6). Let j be i(q). Suppose -6*h + 2*h = o - 10, -o = 3*h - j. Solve -o*k + 4*y = 3*k - 21, 0 = y - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 2523 = 283. Let l = 337 + v. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3962 to the nearest 100.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.3. Let s be (-80)\/1170 + (-4)\/26. Put s, 0.5, l in decreasing order.\nAnswer: 0.5, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 8*d**2 - 4*d - 16. What is g(8)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + m - 4*m)*(6 - 2 + 4) + 4*m - 28 + 24 - 6*m in the form z + g*m and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-3)\/(sqrt(3) - sqrt(30)\/sqrt(360)).\nAnswer: -36*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-135))\/((-2)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a minute?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3778454310325 take away -67?\nAnswer: 3778454310392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.8. Let y = 0.4 + l. Let h = 0.59 - -0.41. Which is bigger: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3878)\/98 - (-4)\/7\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 5*g**2 - 4*g + 9. Let b be x(6). Let o(u) = -499*u + 172743. Let c be o(347). Is c not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 9.5. Let q = a + 0.58. Let t = 0.42 + q. What is the third smallest value in 4, t, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -3461*o**5\/60 - 5527*o**4\/24 - 2*o**2 - 19*o - 4. What is the second derivative of v(d) wrt d?\nAnswer: -6922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ad3 + 2b2?\nAnswer: 4d95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9086 by -6.\nAnswer: -4543\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -25, -40, -61, -88, -121?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -2*d, -3*v = -2*d - 4*v - 6. What is the biggest value in d, -2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3639683*f + 3639683*f + 6*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6344024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3076.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.05, 48\/11, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 3*u**2 + 2. Let y be f(3). Let d = 5 - y. Suppose 22 = d*t - 11. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {j: 3, y: 1, k: 2, r: 1, i: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 359*u**2 + 1155*u - 285332. What is p(358)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167585712 or 167585706?\nAnswer: 167585706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/((-3 + -2)\/5). Suppose -2*k = -48 + w. Suppose 3*u = -2*z + 81, k = 4*u - 0 + 12. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2025 and 97\/750?\nAnswer: 20250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 23*x**2 - 20*x + 3. What is j(22)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*a - 18*a**2 - 51*a to m + k*a + r*a**2 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 5 + 23 - 14 + 19 + (-1 + 2 + 1)*(-2 + 1 + 3) - 17 - 6 + 0 + 5 - 2 - 5)*(0*f + 0*f - 2*f**4) to j*f**3 + w*f + m + z*f**2 + l*f**4 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 5220\/468 - (-2)\/13)*1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010 (base 2) in base 11?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d**2 + 0*d**2)*(-2 + 0 + 8) + 2*d**2 + 0*d**2 + d**2 + (-1 + 0 + 3)*(66*d**2 + 16*d**2 - 2 - 33*d**2).\nAnswer: 113*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p = 20*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -1 - (314\/(-10) - 6\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43, -43, -51, -73, -115, -183, -283, -421?\n\"Answer: -v**3 + 2*v**2 + v - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*s - 1. Let w be 3 - (3 - (s - -4)). Is w < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04457 + -0.04457. Which is the fourth biggest value? (a) 0.03 (b) -1\/6 (c) p (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -51*p + 4 - 59*p - 226*p + 28*p. What is the hundreds digit of d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - f = -149 + 136, -17 = -l + 3*f for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 13*y = 18*y - 18216, -4*h - 5*y + 72849 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 21*u**5 + 24903*u**4 + 242865*u**3 - 671247*u**2 - 5227902*u + 13145328 = 0.\nAnswer: -1176, -69\/7, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2511 and 3990942.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + k - 5, 10*h + 5*k + 8 = 6*h. What is the highest common divisor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93*22\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -0.4, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 18*u**2 + 42*u + 15. Determine l(-14).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5422115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-2)\/(-5))\/(2\/70) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqyq when four letters picked without replacement from qyqyqqqqyqyyyy?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2375 + 2395 = -10*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/147120 and -191\/11125950.\nAnswer: 89007600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/1097507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7716 divided by 12?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66015, 65550, 65099, 64668, 64263?\nAnswer: 63890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 3*k, -5*k = -3*r - 18 - 5. Let v(n) = -n - 14. Give v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1)\/(-4) - 0. Let x = 33.881 + -34. Let g = -0.119 - x. Put -0.1, z, g in ascending order.\nAnswer: -0.1, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 5*t - 6. Let k be c(5). Let q = k + 8. Suppose 0 = -q*x + 3*j + 29 + 71, 61 = x + 4*j. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/7))\/x**(-5)*(x\/(x**6*x))\/(x\/(x**(-1)*x))*x*x\/x**(-4)*x*x*x\/(x*x**(3\/4)\/x*x*x)*(x**(-1))**(26\/7) assuming x is positive.\nAnswer: x**(51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21021121222021 (base 3) to base 13.\nAnswer: -a567ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a**5 + 1002*a**4 + 8574*a**3 - 1412*a**2 - 29232*a = 0. What is a?\nAnswer: -116, -9, -2, 0, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439, 547, 817, 1321, 2131, 3319, 4957, 7117?\nAnswer: 9871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9*(26 + (-495)\/18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2 + i + 4*i + 5. Let u(y) = 16*y + 8. Suppose 4*s - 22 = 6*s. Let k(r) = s*w(r) + 4*u(r). What is k(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 13. Suppose i + 7*d - 2*d - 9 = 0, d - g = 0. Solve 2*p - i = 6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d\/(d*d\/(((d**17*d)\/d*d)\/d)*d)))\/d)*(d*d*d\/(d**(1\/9)\/d*d))\/d*d)**(3\/13))**(-16) assuming d is positive.\nAnswer: d**(-2720\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 444 - 441. What is the remainder when 547 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 542904*(-4)\/(64\/(-3272)). Let k = t - 189023868. Round k to the nearest 1000000.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3798 + -3847.42. Let t = u - -49. What is t rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i - 2*i + (i + 0*i + i)*(-2 + 3 - 6) + 2*i - i - 4*i)*(4*i - i - 4*i).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 7*c - 1. Sort 0.5, 0, c, 1\/9 in ascending order.\nAnswer: 0, 1\/9, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30881*c**5 - 9*c**4 + 3326*c + 27?\nAnswer: 617620*c**3 - 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(126))\/sqrt(9) + 1*sqrt(224))\/(sqrt(8)*4 - sqrt(6)\/(sqrt(12)\/sqrt(4))) + -2.\nAnswer: -3 + 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -973*h**2*r**2 - 227*h**2 - 6*h*r wrt r?\nAnswer: -1946*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**6\/150 + y**5\/20 - 2*y**4\/15 + 2*y**3\/15 - 3*y. Find s such that i(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = -5*s - 341 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5265 - 5176. Solve k*z = 67*z + 66 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21a7a26 (base 13) to base 9.\nAnswer: -21380745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 12) to base 11\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729 is divided by 450?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 457\/2 + -2279\/10. Put 0.107, g, -1 in descending order.\nAnswer: g, 0.107, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 24.7. Suppose -9*o = -6*o + 9. Put 0, t, -0.1, o in decreasing order.\nAnswer: t, 0, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949601136?\nAnswer: 2, 7, 17407153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 0, 4*p - 2*o - 18 = 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(1125\/(-6))*50\/(-80)*2*8.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = -8*i. Let p(z) be the second derivative of 2*z - 1\/6*z**i + 0 + 0*z**2. Let o(x) = -2*x. Determine o(p(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -175662, -4, 0.09?\nAnswer: -175662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7187818 decades in months?\nAnswer: 86.253816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 440? (a) -0.03 (b) 1\/5 (c) 18 (d) 184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43160, -172228, -387338, -688490?\nAnswer: -1075684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6907190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 + -21 + 12 + -6 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 - 8*g - 3. Suppose 0 = -3*c + 5*l - 33, 21 = -4*c - 2*l + l. Calculate b(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-19)\/(760\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104285832 greater than or equal to 104285833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Let k(x) = -j*x + 3 + x**2 - 1 - x**3 + 3*x**2. Let a = -28 + 30. Determine k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d7f9 (base 16) in base 12?\nAnswer: 27bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-20))\/((-60)\/32).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let j(n) = n**2 + 10*n + 13. Let r be j(-9). Differentiate p - l + r - 1 wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - -1 - (-10 - -16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 960777 to the power of 1\/2, to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/9 - 970574*b**2\/9 - 1941151*b\/9 - 970576\/9.\nAnswer: (b - 970576)*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3367 - 3368. Let k(u) = -11*u**3 + u**2 - 2*u - 1. Determine k(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -29, -41, -69, -119?\n\"Answer: -c**3 + c**2 + 2*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**2 - 10835*b - 54050 = 0.\nAnswer: -2162, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5823c - -3?\nAnswer: 58240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - o)*(2 - 1 - 3 + (0 + 0 + 2)*(-1 + 0 + 3) - 3 + 2 + 3 + 4 - 4 - 2).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) -4 (b) 2\/7 (c) -2\/3 (d) -0.6 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s\/(s*s**(-2\/7)*s))\/s**4)\/(s*(s**(-1\/2)*s)\/s)**(-5\/2) assuming s is positive.\nAnswer: s**(-13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1\/5 (b) -11 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v + 17. Let h be u(4). Put h, -1, -5 in ascending order.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001678 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -2279?\nAnswer: -2279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/17)*y**(1\/7)*y*y**(1\/2)\/(y*y\/(y\/(y*y*y**(-7))*y)))\/(((y\/(y**(-1\/2)\/y))\/y)**(-33\/4)\/((y**(-1\/3)\/y)\/y**(-2))) assuming y is positive.\nAnswer: y**(58739\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.478, -145, -11?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56879060 and 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6803 * 2\nAnswer: -13606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y**2 - 3*y**2)*(y + 14*y - 2*y).\nAnswer: -39*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 - 8*p**3 - 23*p**3)*((-3*p + 0*p + p)*(3 + 0 - 4) - p + 0*p + 3*p + p + 6*p - p).\nAnswer: -360*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2.2, 7108, -0.2, -1\/2, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(245) + 1 + sqrt(245))*2 - (1 + 6*sqrt(245)*1))*1)**2.\nAnswer: -28*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*t**3 + 13*t**3 + 45*t**3 + 21*t**3 + 2*t + 35*t**3 to the form r*t**3 + q*t**2 + y + p*t and give r.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54900.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3522120 divided by -1176.\nAnswer: 2995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 571547 and 14499.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 4723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3249557?\nAnswer: 3249557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1 + 3*f**2 + 0 + 2 - 6*f**2. Calculate k(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:54 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-3\/8)*u**(3\/13) assuming u is positive.\nAnswer: u**(89\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + -1122?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*((sqrt(162)*-1)\/sqrt(9))\/sqrt(6).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/2)\/(3\/(-6)). Let v be ((-9)\/6)\/(o\/4). Let g be (-9)\/v + 1 + 98002. What is g rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 2*l - 2*l**3 - 2*l**2 - 4*l. Suppose 14*y + 66 = -19*y. What is v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/(2*(-6)\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -1 - (-15 + 15)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3916 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6882 (base 16) to base 13.\nAnswer: c240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1946919.\nAnswer: 5\/1946919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -6*n**2 + 0*n - 13\/6*n**3 + 0*n**4 - 7\/30*n**5 + 0. What is the derivative of d(h) wrt h?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9109.551 decades to years.\nAnswer: 91095.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 687, 135 in decreasing order.\nAnswer: 687, 135, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -165775 and -165783 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t**5 - 8950*t**4 + 42282*t**3 + 55936*t**2 - 262664*t - 267360 = 0. What is t?\nAnswer: -2, -1, 15\/4, 4, 1114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.3 + -3.3. Let h = 0.2 - 1.2. Let u = h + s. What is the third smallest value in u, -4, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/11*j**2 + 2\/11*j.\nAnswer: 2*j*(3*j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.23 + 220.2267.\nAnswer: 217.9967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -756d (base 14) to base 8.\nAnswer: -47475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 22. Let j be m(14). Let l = j - -48. Calculate the remainder when 45 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 43.\nAnswer: -9\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = -4*w + 2*p, 3*w + 16 = -p. Suppose 4*f - 1 + 5 = 0. Which is the smallest value? (a) 1\/3 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -95. Suppose l*v - 133 = 417. Suppose m + 5*t - v = 0, m - 3*t + 638 = 6*m. What is the highest common factor of 52 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4539 by 3.\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1076 and 5.282.\nAnswer: -5683.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0528 - -0.0572. What is the fourth smallest value in 2\/11, s, -1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0794? (a) -1.3 (b) -38 (c) 2 (d) -2 (e) 0 (f) 3\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2320 (base 4) to base 5.\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28300 - 177500 = 5*v - 25*v. What are the prime factors of v?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h - 5*h - 13*h - 2*h**2.\nAnswer: -2*h**2 - 68*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*14\/32*4180\/7315?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 29. Let f(x) = -x**3 - x**2 - 1. Let z(j) = 23*j**4 - 3*j**3 - 3*j**2 - 1. Let d(q) = g*f(q) - z(q). What is the derivative of d(o) wrt o?\nAnswer: -92*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 478131199 from 266113.\nAnswer: -477865086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1147 and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 6*y - 2*y - 4*c, 3 = c. Let z = 67 - y. Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3667101647 to the nearest integer?\nAnswer: 60557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.80172 to two dps.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5907756 and 336?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -x + 5*x + 4*q, -5*q = x. Solve 0*f - 16 = 2*f + 2*h, 5*f + 2*h + x = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*g + 39 = 2759 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5302 (base 12) to base 5\nAnswer: 242244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/356456 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/4*90\/(-135). Let w be 35\/(k + -4) - -20. Suppose 0 = -0*t - 5*t + 35. Solve -w = 3*u - 5*d - t, 3*d - 12 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31718102 by -857246.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.05 - -0.31. Let f = h - -0.74295. Round f to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*v + 511*v + 389*v + 2*v**2)*(0*v + 0*v + 2*v**2).\nAnswer: 4*v**4 + 2084*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3890, 4199, 4510, 4823?\n\"Answer: v**2 + 306*v + 3583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 - (714\/36 + -6) and -123\/380.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15623330?\nAnswer: 2, 5, 761, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -13.88925.\nAnswer: -9.88925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -52007857352 and 2067.\nAnswer: -52007855285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*z - 1 - 5, -2*g + 12 = 5*z. Let w = -53 + 58. Factor g*r**3 - 9*r - 2*r**3 + 0*r**3 + w*r.\nAnswer: 4*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631019 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.5. Let v = m - -1.2. Suppose 0 = 5*x - 3*i - 13, 2 = -2*i + 10. Sort -1, v, x in descending order.\nAnswer: x, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 7*u - 3. Let v be s(-6). Suppose -c - p + 2 = -3*p, p + 16 = v*c. Solve 0*f - c = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -2*k**3\/3 - k**2\/2 - k. Let f be y(-1). Let t be -1 - (-2 + f\/3). Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025073 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:58 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.74 + -31.74. Let h = v + 31.5. Which is bigger: h or 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0377 - 0.2.\nAnswer: -0.1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 51 = -4*n - 4, -t - 4*n + 19 = 0. Let s(y) = -4*y**2 - 8*y. Let k(z) = -2*z**2 - 4*z. Give t*k(o) - 4*s(o).\nAnswer: 2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 17*u - 86 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/11 and -39\/97328?\nAnswer: 97328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76162 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119\/17)\/(-7)*3\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6030\/(-420))\/67*70\/12?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 not equal to 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -670430 - -23?\nAnswer: -670407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-40)\/(-100))\/(4\/5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -35. Let t be z\/3 + -1 + 0. Solve t*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7563*a - 2*s + 42 = 7568*a, 0 = 3*a + 2*s - 26 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v + 89*v - 44*v = 2*c - 4*c + 75, -18*c + v - 107 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19791 take away 0.1?\nAnswer: -19791.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 122191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242665530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/60 - g**4\/12 + g**3\/2 + g**2. Let u be k(2). Suppose x = -u*d + 2 + 2, -24 = 3*x - 3*d. Let s(i) = i. Determine s(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2457*q - 2 - 9 + 3 + 2463*q - 1.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1537, 1535, 1523, 1495, 1445, 1367, 1255, 1103?\n\"Answer: -d**3 + d**2 + 2*d + 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11771*r**4 - 3925*r**3*u + 40*r**2*u + 268105*u wrt r?\nAnswer: -282504*r - 23550*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97529.\nAnswer: 17, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5 - 72*g**4 - 668*g**3 - 2328*g**2 - 2930*g - 1200 = 0.\nAnswer: -24, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*h + 1561 + 4791 = -270*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 11*n**2 - n + 13. Let k be -2*(-4)\/5*(-10)\/(-4). Suppose -1 = k*p + 43. What is the tens digit of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 2) to base 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3816 and -161\/31800.\nAnswer: 95400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008\/(-11592) + 72*3\/(-161)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*h - 74*h + 1656 = 0. Suppose p - 2 = 0, -8*p + 5*p + h = f. Calculate the highest common divisor of f and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*x - 127*x - 29*x + x**3 - 425*x + 435*x in the form o*x**3 + z*x + k*x**2 + u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 39. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7, f: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -92*s + 5037. What is c(56)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0 - -1) + 2. Let h(l) = -2*l - 6. Let y(w) = 1. Let u(j) = s*h(j) + y(j). Determine u(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.006 + -0.006. Put -1\/2, 0.1, r in ascending order.\nAnswer: -1\/2, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/883 and -15\/4.\nAnswer: 3532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let c be b(4). Factor 1\/5*h**5 + 0*h**2 + 0*h**3 - 1\/5*h**c + 0 + 0*h.\nAnswer: h**4*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1495\/11 + -1470\/11. Let n = -86 - -778\/9. Calculate the common denominator of l and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 170*r - 2624257 = 8206443. What is the ten thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7515001 and 100007321?\nAnswer: 1300095173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(26)\/sqrt(2)*6)**2 + 0) + ((-4*-1*sqrt(1300))**2 - (-5 + sqrt(1300) + -1)).\nAnswer: -10*sqrt(13) + 19870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 93 + 76 + (1 + 2 + 4)*(-2 + 0 - 1) + 3 - 6 + 2)*(2*w**4 - 5*w**4 + 2*w**4).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*70\/4*12\/45. Calculate the greatest common factor of 854 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cac9 (base 15) to base 10.\nAnswer: 42939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6804 + 6538. Is -800\/3 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-17\/5)*n*(n**(-3\/8)\/n*n*n)\/n assuming n is positive.\nAnswer: n**(-111\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**2 - 1\/60*q**5 - 3\/2*q**3 + 1\/3*q**4 + 0*q + 0. List the prime factors of b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1431 (base 7) to base 12\nAnswer: -3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 65, -0.4, 5, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -36 + 34 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 15) to base 8.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - d51?\nAnswer: -d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 219 - 1a32?\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/51))**44 assuming q is positive.\nAnswer: q**(-88\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356*j - 1342*j - 135828 = 0. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m = -30. Is 11\/2 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 q when four letters picked without replacement from {q: 3, j: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/3 - 48488*d - 1763314608 = 0.\nAnswer: -72732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -38. Let y = w - 4. What is the remainder when 22 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syy. Give prob of sequence sy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42760800109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399606?\nAnswer: 2, 3, 66601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 + -99. Let u = -53.6 + t. Round u to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 288122 = -4*j + 305534, 5*b - 741998 = 4*j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 61*j**2 + 5*j**2.\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -152, -12433, -2 in increasing order.\nAnswer: -12433, -152, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3065448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4593000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/9 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**5 + 31*q**4 - 86*q**3 - 24*q**2 + 224*q + 128 = 0?\nAnswer: -1, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -476?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 5, 0.3, 0.03, -1\/4, 4.\nAnswer: -1\/4, 0.03, 0.05, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 12*i - 22. Does 3 divide g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 1\/2 (b) 1 (c) -2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24113 + -4?\nAnswer: -24122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.354578nm in millimeters?\nAnswer: 0.000005354578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210091 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 7*i**6\/360 - i**4\/8 - 5*i**3\/6 - 4*i. Let x(m) be the second derivative of z(m). What is the derivative of x(q) wrt q?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 39*w - 1930. Give r(50).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-10)*4 - -20. Solve 0 = g + 3*g + 5*n + 7, -3*g = -n + q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4882119 and 660.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:31 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*f + 186*f - 280 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.0874026\nAnswer: -0.002622078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004 times 11.554?\nAnswer: 23154.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137239649.\nAnswer: 3583, 38303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2178720, -2178355, -2177988, -2177619, -2177248?\nAnswer: -2176875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(0*r + 3*r + 0*r)*(-2 + 0 + 3) + 1 - 1 - 4*r + 2*r + 2 - 2 - 3*r - 2*r + 3*r + (-2 - 1 + 2)*(1 - 1 + 2*r) - 311 + 24*r + 311.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56.64 + -0.36. Let k = 123692690 + -123692633.0000058. Let o = q + k. Round o to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150560490 divided by 517390.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, -15\/13, 2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391776247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 26 = 6*h. Is (-5435)\/(-45) + 4\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 31*r**7\/840 - 19*r**4\/24 - 8*r**3 + 37. Let a(c) be the third derivative of z(c). Find the first derivative of a(u) wrt u.\nAnswer: 93*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-18)*1152\/144?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -11*w + 284. Suppose -w*r - 32 = -33*r. Which is smaller: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(2)*1 + -3.\nAnswer: -5*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -372*m**2 + m + 411 wrt m?\nAnswer: -744*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 884, 4\/7, -1032 in decreasing order.\nAnswer: 884, 4\/7, -1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/2835 and 31\/2806020.\nAnswer: 25254180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1183 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j - 17*j + 372 = 9. Put 4, -3, j, 5, 0 in decreasing order.\nAnswer: 5, 4, 0, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10970464 is divided by 92?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/8 - 2)\/(3\/1470). What is the highest common divisor of 140 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 483.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t + 12. Let f be ((-36)\/30)\/(-3*t\/(-45)). Suppose -3 = k, -2*q - f*k = 3*q + 7109. Round q to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*n - 76366 - 501276 - 240926 = -12196*n for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 108 = -6*h. Suppose 21*a - 17*a = 60. Let d be (1 + (-6)\/h)\/(5\/a). Solve 0 = -3*b + 3*o - 3, -5 = -0*b - 3*b - d*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153\/18 - 55\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9445*a + 113344. What is u(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 12 = -u, 5*u = 6133*p - 6137*p - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/180 and -121\/2790.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1890 and 1656?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 12972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1142855958 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c16d (base 14) in base 6?\nAnswer: 413445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 8*k + 5. Let d(g) = g**2 + 9*g - 1. Let h be d(-8). List the prime factors of r(h).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(98) + 0) + sqrt(98))**2 - sqrt(98)) + 0 - (-3*(-1 + sqrt(98)) + (sqrt(98) - sqrt(98)*2)*6)**2.\nAnswer: -3145 + 371*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 3. Let p be r(2). Let n = -2 - p. Let w be 45\/6*4\/n. Solve -s - s + w = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(405)*1*-6)\/((sqrt(9) + sqrt(9)*2 + sqrt(9))*3) + 2.\nAnswer: -9*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*(1512\/(-18))\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7125, 14726, 22327, 29928, 37529?\n\"Answer: 7601*x - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 619642 divided by 982\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - 8 - (4 - 1 - 7)) + 5 - -4.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30712 - -56899. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -66. Let z = 3 + -5. What is the closest to n in 5, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -8 + 0 + (-1)\/(7\/(-21))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 808*h**4 + 0*h**2 - 185*h**4 + 0*h**2 + 501 - h - 363*h**4 wrt h?\nAnswer: 3120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-340 - -318) + -2 + (-3 - -12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -1.1 (c) 70761 (d) 3\/2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -6 + (-2 - (-3 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 6*v**2 - 6. Let s be c(6). Let n be (-2)\/(s\/(-3))*1. Is n < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u**2*z + u**2 + 193*z - 2170 wrt z.\nAnswer: 4*u**2 + 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, s: 3, n: 4, e: 4}. What is prob of sequence sse?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5181 + 2590 + 2591 - 916*g**2 - 196*g**2 + 14515*g wrt g?\nAnswer: -2224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 16*h**2 - 15*h + 10. Let w be g(15). Let o(t) = t**2. Let m be o(-2). Suppose -z = z + 2. Put w, m, z in increasing order.\nAnswer: z, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11538868.\nAnswer: 2, 11, 29, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -35. Let v = -0.246 - 1.864. Let p = -0.11 - v. Which is the smallest value? (a) -0.6 (b) t (c) 0.3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -0.2162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1575997312 divided by 11824.\nAnswer: -133288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -18, 5, -25, -20, 7.\nAnswer: -25, -20, -18, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -533*c**2 - 169*c - 169. Let h(r) = -19*r**2 - 6*r - 6. Calculate -169*h(n) + 6*s(n).\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o + 71. Let m(u) = 2*u - 36. Let q(s) = -4*f(s) - 7*m(s). Let k be q(0). Let c = 53 - k. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 709007782 to the nearest integer?\nAnswer: 26627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 3135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * 27720228.\nAnswer: -44352364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-80) - (-24)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.364 + -24.\nAnswer: -45.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.95 + 0.95. Let f = -24 - -27. Which is the closest to -1? (a) -1\/7 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*k - 2175 = -193*k. Let n(b) = b**2 - 3*b + 2. Let u be n(3). Suppose u*d + 96 = 3*f + 5*d, 5*f - 130 = d. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34148864*m**2 - 2*m - 16267501?\nAnswer: 68297728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + (-177)\/(-28))\/((162\/(-21))\/(-9)). Let y = 1 - 1.2. Let l = -0.2 - y. Which is the biggest value? (a) -2 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 3*b - 3*b)*(-2781 + 2048 + 1320) in the form q*b + f and give q.\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4391 - -4385.949. Let g = u - -4.84. What is g rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -4*2\/(-8) - -1 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 i when four letters picked without replacement from {u: 5, p: 3, i: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -18)*(-240)\/3800.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8584)\/(-14) + (-5 - -14)\/(-63). What is the third derivative of -v**3 - i*v**4 + 21*v**5 - 197*v**2 + v**3 + 0*v**3 + 611*v**4 wrt v?\nAnswer: 1260*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -22*p + 22. List the prime factors of c(-8).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(48)\/(sqrt(4)*1)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 13, -4, 733 in descending order.\nAnswer: 733, 13, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -63330.64 * -8\nAnswer: 506645.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 126*j - 69030*j**2 + 69032*j**2 - 2*j**3 - 41*j in the form y + m*j + c*j**3 + g*j**2 and give m.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 450 = 86. Suppose 1458 + 3898 = c*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heaawhhhkwwha. Give prob of sequence ehw.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + y - 2. Suppose -3*t - 3 = -4*t. Suppose 2*l + 4 = t*r - 0, 0 = -3*r + 5*l + 19. Determine z(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 2\/25, 1.12412?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 29*n**2 - 5*n - 234. Let i(x) = 2022*x. Give i(l(v)).\nAnswer: 58638*v**2 - 10110*v - 473148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -11) + 1 + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubus when four letters picked without replacement from bbsssuussususuuusu?\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 189929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 543, 800, 1039, 1254, 1439, 1588, 1695?\nAnswer: 1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5\/2 - 123*f**4\/2 - 3645*f**3\/2 - 1785*f**2\/2 + 25851*f + 41724 = 0. What is f?\nAnswer: -19, -3, -2, 4, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(27) + (sqrt(108) + sqrt(27))*4)\/(sqrt(18)\/(sqrt(6)\/sqrt(3))) + 4)*6)**2.\nAnswer: 7488*sqrt(3) + 20556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66056884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, 1 s, and 1 f when four letters picked without replacement from {h: 1, d: 1, a: 1, s: 2, f: 1, w: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 39*n + 44*n - 11 = -52, 3*n = 2*s - 35 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61349, 246753, 555759, 988367?\n\"Answer: 61801*t**2 + t - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/7)\/(p\/(p\/((p**5\/p)\/p*p))*p) assuming p is positive.\nAnswer: p**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v + 5. Let y be o(-4). Suppose -3 = -5*n + y. Suppose -x + 10 = -0*x + n*i, 2*i = -3*x + 40. Solve 2 = 3*q + x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -36*u + 45 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 3*q**2 + 57.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1705 or 406?\nAnswer: -1705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1043 + -2003?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14041241020 + 0?\nAnswer: -14041241020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -3 + (20 - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -854\/213 - 21\/284. Let q = -91501\/12 - -7620. Find the common denominator of p and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -5. Let p be (-6)\/(-15) - m\/(-10). Suppose 4*a - 3*d - 25 = 0, p*a - 14 = -2*a + 2*d. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - l**2 - 6*l**3 + 3*l**3 + 0*l**3. Let m be 6\/21 + (-16)\/7. What is the units digit of s(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246755 + 1 + (-1118)\/(-86) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 292 (c) -2\/5 (d) 0.9 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.927 + 5.073. What is the fourth biggest value in l, -4, 0, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329069896 to the nearest integer?\nAnswer: 18140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -q - 0*q. Let z = 39 - q. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.955 rounded to 1 dp?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1216) - (1 + sqrt(1216)) - sqrt(1216)))**2 - ((sqrt(1216) + 1)**2*-1 + sqrt(1216))) + 3*((sqrt(228)*3*1)\/sqrt(12))**2.\nAnswer: 40*sqrt(19) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 58, 98, 164, 262, 398, 578?\n\"Answer: f**3 + 4*f**2 + f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9122431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160\/9*p**2 + 0 + 4\/9*p**5 - 8\/9*p**4 - 16\/3*p**3 - 128\/9*p.\nAnswer: 4*p*(p - 2)**3*(p + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*p + 5705 - 16389 = 31616 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628464731 to the power of 1\/3, to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + i**2)*(2 - 1 + 0) + 9*i**2 + 12*i**2 + 8*i**2.\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 58\/(-182)*-11 - -1. Let k = l + -66\/13. Factor 2\/7*z**5 + 4\/7*z**2 - 2\/7*z**3 - k*z**4 + 0*z - 1\/7.\nAnswer: (z - 1)**3*(z + 1)*(2*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*k = -137, 5*b + 0*k = -k + 265. Let n(l) = l**2 - 9*l - 2. Let g be n(9). What are the prime factors of b - (4 + 2)\/g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-4)*(-19487664)\/630 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5263, -41615, -140257, -332329, -648971?\nAnswer: -1121323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4698877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/y)\/(y\/(y\/(y\/(y\/y**(2\/27)))))*(y\/(y*y**(2\/45)*y))**35 assuming y is positive.\nAnswer: y**(-5026\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*r**2*r*r)\/r)\/((r*(r\/(r*r**6\/r*r))\/r)\/r))**(-4\/13)\/((r**(1\/3)\/r**(-1))\/(r**4*r**(-1\/3))) assuming r is positive.\nAnswer: r**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376625?\nAnswer: 3, 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2173152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/12 - 2*v**3\/3 - 11*v**2\/2 + 11*v. Let f be r(5). Let z be (-1)\/(-3) + f\/18. Is -2 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-6)\/(36 + 18)). Solve 4*p = -t*m + 3*m - 9, m + 2*p = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 10\/105*-18. Suppose 6\/7*c**3 + 2\/7*c + 0 + o*c**4 + 6\/7*c**2 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220399414201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 26. Let b = x + 115. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 + 114.9. Let g = 134\/99 + -10\/11. What is the nearest to 2\/3 in g, -4, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -918 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-221)\/663 + (-37)\/6 + 2.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 142*r**2 - 292*r + 456. Determine x(144).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 5, l: 2, e: 4, a: 1}. Give prob of sequence blib.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33469, -33658, -33847, -34036?\n\"Answer: -189*y - 33280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -39*z**2 + 36*z + 3. Let s(d) = 10*d**2 - 9*d - 1. Let w(r) = -6*l(r) - 22*s(r). Factor w(k).\nAnswer: 2*(k - 1)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.9 - 3.8. Let o be 1 - (0 - (-1)\/4). What is the second biggest value in -1\/2, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 3*t + 3. Let b be q(-3). Solve 5*v = -0*v + 3*c + 4, -3 = -b*v + 2*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3751 or -3737?\nAnswer: -3737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/((-14260)\/1472) + (-924)\/58?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is -35248000 < -35248001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2. Let h(d) = -d**3 + 8*d**2 - 8*d + 10. Let g be h(6). Suppose 0 = 5*w + g - 44. Let u(j) = -6*j**2 + 34*j**w - 7*j**2. What is u(c(a))?\nAnswer: 21*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433024232 + -10?\nAnswer: 433024222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o + 112*o - 269 = 1011 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6990?\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 + 3*n + 1. Calculate the remainder when 53 is divided by j(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n - 2*n**3 + (6 - 4 - 1)*(-9*n**3 + 17*n**3 + 17*n**3).\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/12 + 17\/6. Suppose 0 = 3*z - 2*a + 19, -5*z + 5*a = -0 + 40. Sort z, b, 0 in ascending order.\nAnswer: z, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 275485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**4\/4 - 3*m**3 - 5*m**2 - 12*m + 274. Calculate k(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**4 - 52*z**3 + 52*z**3 + 173 - 43*z**2 + 44*z**2 wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2937219523+-103.583\nAnswer: 2937219419.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 4*i**2 + 5*i + 1. Let v be d(-5). Suppose 3*c + 2 + 1 = 3*t, t = 2*c - v. Put 2\/7, 1, c in descending order.\nAnswer: c, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4792 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.143 + 1.143. Which is the closest to 0.1? (a) 23 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.074 - 13.926. Let v = -13.9 - n. Sort v, 0.09, -3 in decreasing order.\nAnswer: v, 0.09, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 7*r + 18. Let d be s(-4). Let w(x) = 2*x**3 - 12*x**2 - 4*x + 40. Let y be w(d). Solve -y = 13*i - 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/(-3))\/(((-6)\/(-18))\/(-1)). Let x(v) be the second derivative of v**3\/3 - 5*v**2 - v. What is the tens digit of x(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-43 - -87) + -86 - 3) + 192\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1*((-10)\/(-8) - 17\/68) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 118*b - 10345 = -14930 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4)\/x*x**(-1\/2))\/(x**(-1)\/(x\/x**(-4\/7))))\/(x**(-3)\/x*x**(2\/13))**(-45) assuming x is positive.\nAnswer: x**(-62701\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -17*m - 225. Let k = 78 - m. Solve 1 = k*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -57*b - 5698. Calculate a(-100).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 411210 and 1439235?\nAnswer: 2878470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70.947 + 71. Let j = f - -0.047. Which is smaller: j or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 93 + 234 - 83 + 14*u - 83. Give v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 1210.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.941725kg in tonnes?\nAnswer: 0.001941725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4926, 0, -2 in descending order.\nAnswer: 0, -2, -4926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -14. Suppose -4*g + 60 = 5*c, -3*c - 16 + 10 = -6*g. What is the greatest common factor of c and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2270*t + t**3 + 5486 + 2265*t - 4535*t to j + z*t**3 + q*t + s*t**2 and give j.\nAnswer: 5486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10270678*x + 1 + 10270678*x + 11*x**2 - 1.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1155 - 1152. What is the nearest to 1.26 in -3, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 + 155234*u**2 + 119*u + 968.\nAnswer: -20*u**3 + 310468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 6. Let w(k) = -3*k - 8. Let f(m) = -4*m - 10. Let a(z) = 4*f(z) - 5*w(z). Calculate a(v(q)).\nAnswer: 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(1\/(1 + 21\/(-17)))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10056 and -71\/8?\nAnswer: 10056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266362 rounded to the nearest 1000?\nAnswer: 1266000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 14*h + 9 - 28 + 11 + 21*h as p + i*h and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*w**5 - 20*w**5 + 63*w**4 - 4*w**5 + (-2*w + w + 3*w)*(-w**4 + 0*w + 0*w).\nAnswer: -4*w**5 + 63*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) -256\/5 (c) 2\/13 (d) 18\/7 (e) 2\/11 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1587*u + 19047. Determine g(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12690 and 1645?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1813.77 and -101782.8.\nAnswer: -103596.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -101111000111111110011 (base 2) to base 6\nAnswer: -53032551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 + 5*m - 6. Let d be o(6). Let y be d\/60 - (-3)\/5. Solve -l + 2*i = -7 + 16, -y*l + 19 = 3*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71723.\nAnswer: 17, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29947 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m + 49. Calculate the remainder when p(-7) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1330)\/252 - (-319)\/58?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 7. What is the units digit of q(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*l - 14, l = -5*z - 3*l + 14. Suppose 0 = 2*b - 20 - 12. Calculate the remainder when b is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b424 (base 13) to base 14\nAnswer: -90c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -q + 1399. Is q a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.1 - 17. Let r = -2.8 - -14.8. Let y = -10 + r. Which is the closest to y? (a) o (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 2. Let t(j) = 11*j + 6*j + 5*j + 4*j. What is the least common multiple of r(-5) and t(2)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + g + 12 = 0, m - 5*g - 29 = -33 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -51043?\nAnswer: 51044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24606 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -542363 times 626\nAnswer: -339519238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24110*c**2 - 24119*c**2 + 48230*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 28 = 3*l, -l + 245 = -2*u + 235 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 4*c + 4*c)*(c - 3*c - 2*c)*(-4*c**3 + 53*c**3 + 47*c**3).\nAnswer: -1152*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 + 157. Let f = -9.3 + u. Which is the second biggest value? (a) 2\/11 (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2112b + 14?\nAnswer: 21143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 1, -0.4, 20, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 4, m: 1, r: 1, l: 8}. Give prob of sequence jk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*o**3 + 66*o**3 + 11*o**3 + 22*o**3 - 7*o - 14*o**3 in the form v*o**2 + m*o**3 + h + l*o and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:50 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228600924?\nAnswer: 2, 3, 83, 229519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((4 + -1*sqrt(243) - (sqrt(243) - (-2*sqrt(243) - sqrt(243)))*1)*6 - (0 + -1 + sqrt(243) + -2*sqrt(243) + 3)))**2.\nAnswer: -11484*sqrt(3) + 204847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Suppose 5*v = 3*u + 2*v + 15, -v + 5 = -b*u. Let q(o) = u*o + o + o - 5*o. Let d(p) = -p**2. What is d(q(l))?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1022.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1958069 + 0.1957. What is w rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898571235?\nAnswer: 3, 5, 29, 73, 28297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82516 is divided by 519.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**3*y - 5*p**3 - 42*p**2*y + p*y + 853 wrt y.\nAnswer: -p**3 - 42*p**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2030482 + -1434482. Round u to the nearest ten thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {g: 1, n: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -30.3, -0.464, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -444474?\nAnswer: 444473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t + 0 + 0*t**2 + 2\/3*t**3. Let u(p) be the first derivative of p**3\/3 + 6. Determine u(f(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 10. Suppose -3*g = -b - 19. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 1\/588*a**8 + 2\/105*a**7 - 9\/14*a**4 + 0*a + 17 + 1\/21*a**6 - 6\/35*a**5 + 3*a**2 + 18\/7*a**3. Solve d(z) = 0 for z.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a. Let t = 1 - a. Suppose -y + 2*y = -t. Do 0 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + u - 58, -m - 148*u + 146*u + 20 = 0. What is the remainder when m is divided by (-9)\/(-1) + 8\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k - 184*k + 127 = 2359 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 932 divide 2524397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1060 divide 3375378140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*o**3 - 3*o**2 - 17*o?\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 0*n - n. Let b(h) = 4*h + 6*h - 11*h. What is s(b(c))?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o. Let k(d) = 8*d - 3*d**2 - 3*d**2 - 11 - d**2. Let p(w) = k(w) + 6*u(w). Let t be p(13). Solve 16 = 3*g - g - t*a, -5*g + a = -24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (25\/10)\/((-92)\/161 - (-6479126)\/11338348) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + 1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -407.\nAnswer: -32\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 2. Let u(j) = 970*j + 20. Determine u(s) - 10*x(s).\nAnswer: 950*s","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 649118\/3 < -0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642568131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 78500*p + 5703855.\nAnswer: 5*(p + 73)*(p + 15627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 71*w**2 - 5*w + 5. Let r(p) = 2166*p**2 - 152*p + 152. Let m(v) = 152*a(v) - 5*r(v). Let h(j) = -13*j. What is h(m(u))?\nAnswer: 494*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10568 - 10568 + 169*p)*(0*p**2 - 3*p**2 - 3*p**2).\nAnswer: -1014*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 15)*351 + (-8)\/4. Let t = v + -4224. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 8*j**2 - 8*j + 13. Let g be k(7). Calculate the greatest common divisor of 330 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7778510.\nAnswer: 2, 5, 37, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - -4?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1501*v**2 - 742*v**2 - 753*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1143654.\nAnswer: 3430962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2643 and 39168379.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1520 - 753?\nAnswer: bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 6, 2, 5, 4 in descending order.\nAnswer: 6, 5, 4, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000643 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16256864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 205947.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 10078?\nAnswer: -10086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/944922 and 151\/85902.\nAnswer: 944922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 = -4*n + 167. Find the common denominator of (n\/(-4))\/(18\/(-4)) and -43\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3834900 and -113\/2556600.\nAnswer: 7669800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x**3 + 9*x**2 + 35*x - 22. Let g(f) = 4*f**3 + 3*f**2 + 11*f - 8. Calculate -8*g(j) + 3*h(j).\nAnswer: j**3 + 3*j**2 + 17*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49910840149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:58 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.88485587 + 63.11514347. Let m = t - 69. Round m to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5883?\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*-5*(sqrt(44)\/(sqrt(16)\/sqrt(4)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*1.41.\nAnswer: 35.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**3 - 690*x + 77*x**3 - 17*x**3 + 690*x - 24*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2 + 6*c + 3*c**2 + 4 - c**2 - 5*c - 3*c**2. Let g(o) = -o**3 - 3*o**2 - 42*o + 128. Let k(s) = g(s) - 3*t(s). What is the derivative of k(i) wrt i?\nAnswer: -3*i**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*t + 128 - 152 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37 - ((-28 - -14 - (2 - 65)) + -24)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743242 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 - (3 - (-17 + 21 + (5 - -3 - -2)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -3 (c) 33\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 13*b - 35*b = 1431 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-20 - -14 - (1 + 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51668 and 25070.2.\nAnswer: 76738.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 9:11 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, x: 2}. What is prob of picking 3 t and 1 x?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 4. Let c be d(-10). Suppose -o - 1085 = -c*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**3\/7 + 9*u\/7 + 6\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668222237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 654432172 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3945 = -k - 3960 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**7\/4410 - n**6\/315 + 2*n**5\/105 + n**4\/6 + 4*n. Let d(o) be the third derivative of v(o). Find k, given that d(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.6792187 rounded to the nearest 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*v + 2 = 22, v - 4 = 0. Solve -4*h - 2*b + 22 = 0, -w*h - b + 28 = 3*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1961560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18*a + 2. Let y(k) = -212*k. What is j(y(i))?\nAnswer: -3816*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-26 - -36) + -4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 7 + 8. Solve o*j - 1 - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/9? (a) -13 (b) 0 (c) 1\/9 (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90408919?\nAnswer: 43, 2102533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35, -16783, -187 in increasing order.\nAnswer: -16783, -187, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l + l + 714 = -0*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 209 (b) 2 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6339614 and -4.\nAnswer: 25358456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 2. Let j(k) = 10*k + 37. Let u(g) = 5*d(g) + j(g). Determine u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 101\/3. Which is the fourth smallest value? (a) 1 (b) l (c) 1\/6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3208523 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/((-60)\/(-2)) - (3 + -2). Does n = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 8:58 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-42) + 82\/14. Solve f - d = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - 0.1. Let p = -31\/7 - -29\/7. Sort b, 0.5, p in decreasing order.\nAnswer: 0.5, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13969 and 1603?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 7*w**2\/4 - 3*w\/2.\nAnswer: -w*(w + 1)*(w + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*v - 4 = -216*v. Suppose -2*f = f - 9. What is the remainder when f is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, u: 2, j: 1, y: 3, a: 6}. Give prob of picking 2 y, 1 a, and 1 d.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b + 22. What is j(-15)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2534)\/26607)\/((-2)\/(-714)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1752 + 3585\/2. Let z be (-10)\/25*(-100)\/4855. Let k = z + 28949\/139824. What is the common denominator of k and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + 5*x - 2. Let z be b(5). Let p = -67 + z. Calculate the remainder when p is divided by (15\/(-5) + (-13 - -4))*30\/(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {r: 4, h: 3, y: 2, e: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949898?\nAnswer: 2, 474949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 155?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 456\/57 + 2*1 + (-42 - -39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 3*a**2 + 5*a + 2. Let v be q(-5). Let l = v + -26. Suppose 13 = -f - 3*s, 2*f + s - 5 = -3*f. Solve -k - f = -l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -36.2. Which is the closest to 1? (a) g (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 6.04487888.\nAnswer: 2.04487888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 - 305*a - 267. Calculate the remainder when 943 is divided by t(-60).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/3)\/(2\/9). Let q = z - 22. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152\/14 + (-1)\/(-7) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 - -159.00000086. What is j rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 254538 and 0.06?\nAnswer: 15272.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4278 is divided by 4170.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*u = -21, -l - 5*u = -11 + 18. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2 + 19463*d*y**2 - y**2 - 72381*y wrt d.\nAnswer: 2*d + 19463*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let b(d) = -7*d - 6. Let r(c) = -13*c - 13. Let h(j) = 13*b(j) - 6*r(j). Calculate h(k(y)).\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:05 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j = -54. Let v = -8 + j. Let d = 45 - v. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 1 - 15 = 4*n, -2*n + 10 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27234640 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {q: 1, z: 2, f: 1, j: 1, h: 7, o: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3038 at least as big as 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3026 + -3015. Solve 0 = -18*h - n - 133 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*c = -107*c - 2354*c + 33228 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 7*v - 3*v)*(3*v**2 + 0*v + 0*v) + (2 - 1 + 1)*(-v**3 - v**3 + 4*v**3) - 2*v**3 + 2*v**3 - v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2, -11, 3.3, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/45 (c) 1 (d) -3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d = 57. Suppose -d = -5*y - 4. Solve -y*w = -2*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19063049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/(-15))\/4*96. Let a = r - -65. Calculate the highest common factor of a and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5 - 1624*k**4 - 4896*k**3 - 4904*k**2 - 1636*k = 0 for k.\nAnswer: -1, 0, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*175\/840)\/(5\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as -714.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 10*l + 11. Let w be g(-13). Let k = w + -10. Calculate the highest common divisor of k and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - 3*h + 19 = 0, -18 = -4*g - 2*h. Suppose 3*n + 1 = -2*p, -6*p - 3 = 5*n - g*p. Which is the closest to 2? (a) n (b) 0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 11*r**3\/6 - 14*r**2 - 178*r. Let u be y(4). What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 12. Let t(r) = 6*r - 60. What is 4*t(j) - 22*z(j)?\nAnswer: 2*j + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.1942 times -0.6?\nAnswer: -121.31652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14120*u - 1353471 + 1353471)*(0 - 6 + 3).\nAnswer: -42360*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 256 + -241. Is ((-5)\/p)\/((-8)\/323112) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + -133 - (-30 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**3 + 6*q**2 - 8*q + 8. Let t be u(3). Let k = 124 + t. Which is smaller: k or -2\/141?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 13. Let r be m(-9). Suppose 0 = 3*q - q + r. What is the tens digit of 1\/q + 116\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1549292 and -358.67.\nAnswer: -358.5150708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + z - 1. Let g(y) = -2*y**2 + 19*y - 5. Let t(n) = g(n) - 5*u(n). What is the second derivative of t(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5717?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000178824 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 - g**2 - 5*g**2 + 3 - 11*g - 2*g**3. Suppose 2*v = -3*f + 26, 5*v - 22 = -2*f - 1. Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 i when four letters picked without replacement from yyyyyyyyyyyyiyyyyy.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Suppose x*b - 5*b + 90 = 0. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 10*m**2 + 9*m + 3. Let d be y(-4). Let o be 10\/20*((-10)\/6 - d). Which is the closest to 0? (a) o (b) -1 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 302936*k**3\/3 - 44834534*k**2\/3 + 1658878424*k\/3 - 10952.\nAnswer: 2*(k - 74)**2*(151468*k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 516. Let c be v(0). Let t = 319 - c. Let m = 384 + t. What is the highest common divisor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 1 (c) 224.2 (d) -1\/4 (e) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - 13*x + 5. Let p(l) = -5*l**2 + 26*l - 9. Let w(j) = 6*p(j) + 11*t(j). Is w(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18528, 18531, 18536, 18543?\nAnswer: 18552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(1700)*-3) - (2 + 0 + sqrt(1700) + (-1 + -1*sqrt(1700) + sqrt(1700))**2 + sqrt(1700)).\nAnswer: -5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876511711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10574 divided by 38\nAnswer: -5287\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 24135552?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 108\/(-16) + 9\/12. What is the remainder when (-2019)\/(-21) + p\/35 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*((-384)\/136)\/(-12).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406*g + 403*g + 1419 = 0. Calculate the highest common factor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.1 (c) -5 (d) 0.2 (e) 0.049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23062600*r**3 - 10266314 wrt r.\nAnswer: -69187800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-2))\/(-6*(-5)\/(-30)). Solve v = 3*x + 5*v + 2, b = -3*x + 2*v - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -35*c**3 - 386*c**2 + 422*c + 4518. Give w(-11).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 7, 3, 0.01, 1\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 10*z**2 - 3*z**2 - 4*z**2 to the form p + b*z + c*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-72)\/(-8)))\/((-6)\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*i, 2*i - 4*v + 1 = 27. Suppose 4*b = 5*n - 16, 4*b - 7 = -n + b. Suppose -5*k = 4*h - 14, n*k = h + h + 6. Solve t + k = i*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 y, and 1 g when four letters picked without replacement from {f: 6, g: 3, u: 1, y: 3, q: 1}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c - 38*c = -151037. List the prime factors of c.\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 474806, 2\/15, 0, 4, -1\/8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0, -0.1, 7\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 11*w + 4. Let s be u(-11). Suppose s*p - 21 = -9. Suppose -a**2 - 3 + p = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v**3 + 1354*v**4 - 1351*v**4 + 2 + v + 0 to the form x*v**4 + l*v + f*v**3 + a*v**2 + s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) 0.2 (b) 0.1 (c) -0.04 (d) -139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*f + 3519991, -f = 2*f + 5*r + 5280015. Round f to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9 + (19 - 11 - -2048)?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 59045, 58909, 58771, 58631, 58489, 58345?\n\"Answer: -s**2 - 133*s + 59179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)*k*k\/k**(-9\/7))\/((k**(-12)*k)\/k**8) assuming k is positive.\nAnswer: k**(1730\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 9*w - 35. Calculate r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -6 (b) 0.344 (c) 6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 180155456*y**4 - 41828154?\nAnswer: 720621824*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -27 * -5638\nAnswer: 152226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 954*f**2 - 945*f**2 - 1 + 0*f in the form c + u*f**2 + o*f and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53\/3 - 362\/21. Which is the closest to 4? (a) l (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 10*t**3\/3 + 4*t**2 + 7*t - 204. Let v(b) = 21*b**2 + 17*b + 15. What is 13*f(z) - 6*v(z)?\nAnswer: 4*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 12*r + 23. Let c(y) = 1. Let v(j) = 4*c(j) - p(j). Is 8 a factor of v(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12324674 in -3, 2\/15, -0.2, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-8)\/(-4) - 3. Let n(r) be the second derivative of -4*r + 0 + 1\/75*r**6 - 1\/50*r**5 + 1\/15*r**3 - 1\/30*r**4 + y*r**2. What is f in n(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, 4, -1\/5, -71?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6996521*f - 16376645 wrt f.\nAnswer: -6996521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9354 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10535\/1918 - -5 - 8. Let x = u + 1\/137. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Find the common denominator of n\/(-3)*-19 - (-1 + 0) and -11\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*d - 3784, 0 = -2*d + 10*h - 15*h + 1526. What are the prime factors of d?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/12)\/(2\/(-8*3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -4c45?\nAnswer: 4c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 213261 a multiple of 1061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 12:04 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*d*f**3*n**2 + 11119*d*f**3 + 2*d*f**2*n - 953691*d*n**2 - 12*d*n - f**3 - f wrt n?\nAnswer: -36*d*f**3 - 1907382*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 3*f + 22. Let s be x(5). Let q be -2 + (-9)\/((-27)\/s). What is the greatest common factor of 10 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2238 + 2234. Which is the nearest to -1? (a) z (b) -2 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 20 + -24 - (-2 + -1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/8 + -6 - 6)\/((-30)\/24).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v + 10 = 0. Let m = -53 - -44. Are v and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o**4 + o**3 + 251571*o**2 + 67*o - 34069.\nAnswer: -48*o**2 + 6*o + 503142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 6*q**2 + 10*q - 19. Determine o(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4 + 3*u**2\/2 + 3*u. Let o(z) = -40*z - 36*z + 157*z - 39*z - 41*z. Determine f(o(k)).\nAnswer: -12*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 - 10 = -u, 0 = -u + 5*l + 4. Calculate the lowest common multiple of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/(s*s**(-34)*s))*s**36 assuming s is positive.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 2187 = 2*q. Suppose q = 7*f - 4*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/38450 - 2210887\/461400. What is the common denominator of u and 26\/279?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 790?\nAnswer: 790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 5:12 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0319065 * 0.1\nAnswer: -0.00319065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + -6766536?\nAnswer: -6766471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -510 + 854. Let t = z + -340.18. Round t to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 20*l + 21. What is the smallest common multiple of s(-7) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = x - 8 - 4, 3*x + 3*u = 45. Let n be 4\/x - ((-33)\/7 + -5). Is 3 a factor of (-64)\/(n\/5 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 - 69. Let a = -9 + 12. Suppose -a*f + o = f. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -299 - -555. Let f be t\/6 + (-8)\/12. Suppose -3*h = 24 - f. Are 6 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 4, i: 5}. What is prob of picking 2 i and 1 t?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-22 - (-11 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*t**3 + 7*t**2 - 465?\nAnswer: 21*t**2 + 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b7ab (base 15) in base 3?\nAnswer: -201222102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a548 + -5?\nAnswer: -11a552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**4\/4 - h**3 + 3*h**2 + 3*h + 529. Let b(m) = -2*m**3 + 5*m**2 - 11*m - 5. Determine -5*a(w) - 3*b(w).\nAnswer: w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/6 + (-9)\/6. Are 3 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*n + 224*n = -130. Suppose -n*i = -56*i + 7130. Suppose -m = -0*m - 26. Calculate the remainder when i is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 40 - 13\/8*x**2 + x - 1\/80*x**5 + 1\/24*x**3 + 13\/48*x**4. Factor g(l).\nAnswer: -(l - 13)*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/(-132)*-4 - (-3)\/6 and -1\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/205157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 1246?\nAnswer: 1246.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.93 - -15. Let r = 0 + o. What is r rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 2, -1, -4, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 4:37 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*v + 7, -6 = -3*b - 2*v + 2. Let h be b\/4*-1*-2. Is h bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5963 = -682*z - 116*z + 9997 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-904 - 1252 - 1434 + 470 - 136)*(-3*o + 0*o + o).\nAnswer: 6512*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2*12\/8. Suppose o*g + 1 = -14. Sort 4, 3, g in descending order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32256.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 31001010?\nAnswer: 31001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 194 = -63*p - 1432 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.037961l?\nAnswer: 7037.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 - 63*o**2 + 88*o - 1846. What is d(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -120, -241, -364, -489, -616, -745?\n\"Answer: -y**2 - 118*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -947110, -947172, -947228, -947278?\nAnswer: -947322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 21*l**3 + 16*l**2 - 7*l - 4. Let c(j) = j**2 + 2*j + 2. Let t(m) = -2*c(m) - y(m). Factor t(k).\nAnswer: -3*k*(k + 1)*(7*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -10521?\nAnswer: 10521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/55120 and 139\/1874610.\nAnswer: 194959440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1357\nAnswer: -2\/1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2402410196 to the nearest integer?\nAnswer: 49014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63\/2 + -31. Let u be 3 + -30 + (-1628)\/(-60). Which is the second biggest value? (a) u (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2\/7 + 6293496*k\/7 - 6293494\/7 = 0.\nAnswer: 1, 3146747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 49932 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 31 - 3*o**3 - 37 - 153*o**2 + 30.\nAnswer: -3*o**3 - 153*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223 + -240. Let f(w) = -w**2 - 17*w + 15. Let t be f(k). Solve 3*c - 6*c = -t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4057 divided by -290.\nAnswer: 4057\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(((n\/(n**(-2\/21)*n))\/n)\/n))\/n**(2\/13))**(-31\/4))**(6\/19) assuming n is positive.\nAnswer: n**(-23281\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 1, c: 11}. What is prob of picking 1 c, 2 j, and 1 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7137659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-10) - (-13)\/65. Let y = -5 + 7. Suppose -4*w + j + 22 - 1 = 0, -y*w - 12 = 4*j. Solve -19 + w = r*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 64 = -36*u. Sort -2, 10, u in decreasing order.\nAnswer: 10, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2aaa25 - -5?\nAnswer: 2aaa2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 4933500?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(4*(-1)\/2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b. Let j(a) = 7214322*a. Determine w(j(q)).\nAnswer: 43285932*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -9 + (-1 - 4) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 (base 7) in base 9?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*f + 11220 = 153*f + 61*f for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*c**3 + c**4 + 2*c**2 - 14155*c + 4*c**3 - 14147*c + 28301*c + 1 as g + j*c**4 + w*c**2 + z*c + o*c**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0 - 4) + (82 - ((-31 - -16) + 10)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((1\/(-11))\/(676\/(-1859))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 119 = -135*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-1)*(-1)\/2. Let i = -343.7 - -343.6. Let g = -5 + 5.4. What is the nearest to p in i, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00243322 rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*k - 597 = -126*k + 213 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003675217 rounded to seven decimal places?\nAnswer: -0.0003675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 245*s. Let p(l) = 2*l**2 - 3*l + 3. Let w(q) = q**2 - q + 1. Let m(t) = 2*p(t) - 6*w(t). What is m(i(f))?\nAnswer: -120050*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6. Let b be (-1 - 0)\/((-1)\/(-9)). Let z be i + (1 + 0)*(b - -9). Sort 4, -1, z, -3.\nAnswer: -3, -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64.5 - 57.5. Which is the smallest value? (a) -1\/24 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -52.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -21. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31054 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 9:07 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-9) - (-2 - 8). Let k = -5725 - -5737. Solve 8*b = k*b + a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -20965*t. Let v(c) = -26562*c. What is h(v(i))?\nAnswer: 556872330*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26326232 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42304\/(-132))\/(-4) + 12\/22. Which is smaller: o or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463734295.\nAnswer: 5, 773, 119983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -640 + 5653. Is 73 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 71, 0.090527?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2*x + 2*x + (-2 + 3 + 0)*(1 - 2*x - 1) + 0*x - 5*x + 6*x)*(-23*x + 13 - 13) to g*x + i*x**2 + v and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 0.29556.\nAnswer: 0.384228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v**1\/v)*v)*v**(3\/23)*v\/v**(5\/2)*v\/v**18 assuming v is positive.\nAnswer: v**(-891\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4632 = -31*x + 3552. What is the least common multiple of x and 213?\nAnswer: 18744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3162913411 to the nearest integer?\nAnswer: 56240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/24)\/s)**(2\/15) assuming s is positive.\nAnswer: s**(-5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-5))\/(3\/9). Let w be ((-6)\/s)\/4*0. Suppose -4*d - 128 = -4*y, 4*d = -4*y - w*d + 160. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -505, 558, 2345, 4862, 8115?\nAnswer: 12110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xux. Give prob of sequence xx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**5\/60 - 5*f**4\/24 - 2*f**3\/3 - 3*f**2. Determine d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 990267 and 8213391?\nAnswer: 139627647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36946\/84 + 1\/6.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -6, 8 in decreasing order.\nAnswer: 8, 2, 0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 38*l - 47. Calculate the remainder when 332 is divided by u(-21).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-479785 - 2221*x + 479785)*(-x - 1 + 1 + (-1 + 2*x + 1)*(0 + 0 - 1)).\nAnswer: 6663*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - -1)*((-30)\/12)\/((-75)\/12). Solve -2*q - 4 = -u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1124184*t + 149072 = -1122853*t for t.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/11 (b) 1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112087, -224162, -336225, -448270, -560291?\n\"Answer: f**3 - 112082*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*u - 3 = -166*u, 3*w + 3*u = -9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 7. Find the common denominator of 228\/i + (-1 - -1) and (-1)\/(-15)*890\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12636760 (base 8) in base 13?\nAnswer: 782b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**10*a**(-4\/3)*a*a\/a**(-1\/4)*a)\/(a**(-3)*a**(2\/5))**47 assuming a is positive.\nAnswer: a**(7147\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 23275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 + 10*b**2 + 4*b - 2. Is t(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 26. Let m be w(9). Let j(g) = -4*g - 8. Let n be j(m). Solve -n = 4*b - 3*z, z + 0 = -b + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7942*v - 4478*v = 12*v - 658896 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 763.9021 litres?\nAnswer: 763902.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69\/22 + 18\/11. Let h = 6 - 9. What is the smallest value in 1, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 - 2387*m - 2391. Let k(y) = 4*y**2 - 2392*y - 2394. Let t(o) = 3*k(o) - 2*u(o). Find i such that t(i) = 0.\nAnswer: -1200, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4432576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4779110405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + z**2 + 2*z**2 - 4*z**2 + 12. Let t be q(5). Determine i, given that -4\/3*i**t + 2\/3*i**5 + 0 + 4\/3*i**4 + 0*i**3 - 2\/3*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 8*b**3 - 27*b + 18*b**2 - 10*b**3 + 12. Let q be d(14). Let v = -202 + q. Calculate the highest common factor of 27 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-496)\/308 + -2 + (-336)\/(-98). What is the nearest to d in 2, -5, -0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -7, -21, -3\/67?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r)**(1\/32)\/((r**(-2)*r)\/r)**(-33) assuming r is positive.\nAnswer: r**(-1055\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k = 460. Suppose -t + 0*t - 76 = 2*y, -2*y + k = -t. Is t\/(-36)*(16 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 - -465149878440?\nAnswer: 465149878638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 577091, 577090, 577089?\nAnswer: 577088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-11)*(-30)\/9*(-300)\/200.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 12380.0574.\nAnswer: 49520.2296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 255*x**2 - 914*x + 529. What is t(-131)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -20, 6, 70, 184, 360, 610?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 9. Let y be s(0). Let a = y - -12. Find the first derivative of 3 - 3*l + 4*l**2 - 2*l**2 + a*l wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4200 divided by -420\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 1, k: 6, s: 4, z: 1}. Give prob of picking 1 z, 2 v, and 1 c.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.042 - -0.028. Let k = h + -4.07. Which is the nearest to -0.5? (a) 2 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 595452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(285)\/sqrt(5))\/((sqrt(300) - (sqrt(300) + (sqrt(300) - -2*sqrt(300)) + sqrt(300))) + sqrt(300) - sqrt(300)))**2.\nAnswer: 19\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 64 = 53*l - 34*l, 4*l = -2*b + 2 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108314 is divided by 228.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0 = -3. Let o = -0.09 - -0.09. Let y = -0.3 + o. Sort h, -0.4, y in descending order.\nAnswer: h, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 5*y + 16. Let w be j(16). Calculate the greatest common factor of w and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1033 and 172511.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 8. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 837\/(-465)*(-75)\/(-60)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(-6)*(112809\/27 + 9\/(-81))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 - -185. Let s = 14 - -2. Calculate the remainder when h is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 - 4083*d - 20340 = 0.\nAnswer: -1356, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyypkypk. What is prob of sequence pp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -20 (b) -11 (c) -0.2 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19702935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10062 and 375?\nAnswer: 1257750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 47 and 102084582.\nAnswer: 102084629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(7*125\/210))\/(162\/(-90))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3403*t**2 + 1752*t**2 + 1704*t**2.\nAnswer: 53*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10 + 11 + 4*w - 31. Let i be s(3). Suppose -i*y + 326 + 6 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5 - 1. Let n(x) = 5*x - f*x**2 + 3*x**2 + 3100000 - 4*x. Let y be n(0). Round y to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -25874*i + 170. Let h(v) = 8623*v - 62. What is -11*h(y) - 4*x(y)?\nAnswer: 8643*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13819*j - 96. What is w(0)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 535153901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 129*y**4\/4 - 9*y**2\/2 - 4*y + 71. What is the second derivative of j(b) wrt b?\nAnswer: 774*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 623 + 40246?\nAnswer: 41071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2194989*d**2 - d - 2194989*d**2 - d**3. Let j(y) be the third derivative of -y**6\/20 - 7*y**4\/24 - y**2. What is 3*j(b) - 21*r(b)?\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17052086598 to six dps.\nAnswer: -0.170521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 7*c**3 + 2155*c**2 - 18004*c + 2528 = 0?\nAnswer: -316, 1\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 0 + 23 = -22*o. Are o and 1\/21177 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(209)*-1 + sqrt(209) + sqrt(209)))\/(sqrt(495)\/sqrt(5)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18036 + 18015 = 3*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 10. Let s = -103 - -118. What is the highest common factor of s and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006379 to 6 decimal places.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -32, -477\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216690 divided by 14446.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 1 = 3*p - 1, 4*p = 5*a - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/706 in 3, -3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 417 - 305. Let j be (-3)\/(-6) + 14\/4. Suppose -16 = -j*m + 48. Calculate the greatest common factor of z and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2*(9 + 27\/(-18)) and 3261.\nAnswer: 16305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048597 is divided by 14169.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.165 - 11.835. What is the third biggest value in 2, -2\/9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2.1. Suppose 110 = -9*w + 74. Sort -1\/3, r, w in ascending order.\nAnswer: w, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1935648 by 161304.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 964 + -963.8. Let v = -5 - -7. Let y = -1.5 - -1.4. Which is the nearest to v? (a) -2\/7 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 5*y - 5, -2*y - 17 = -4*h + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7252 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -4 + 14)*(6 - 0). Suppose -p*t = -92*t. Which is bigger: t or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3682, -3668, -3654?\nAnswer: -3640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o. Let d(u) = -112*u**2 + 4*u. What is d(l(x))?\nAnswer: -13552*x**2 - 44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2665\/3 - 881. Let g = 8 - b. Suppose 9*s = 8*s - 7*s. Which is greater: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**4\/6 - 22*m**2. Let g(p) be the second derivative of -p**4\/12 + p. What is x(g(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71749 at least as big as -7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13007 - -13036. Is 634\/21 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*b + 7. Suppose -18 = -11*d + 4. Sort 9, d, b in increasing order.\nAnswer: d, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 9. Let u be c(-9). Suppose -69 + u = -3*p. Solve a + 4*d = -1, -6*d + d = -4*a + p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovvvo. What is prob of sequence oo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0.1, 1\/9.\nAnswer: -3, -2, 0.1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 72 + 8 = 0. Let f be ((-22)\/55 - 1) + 2\/j. Let b(q) be the first derivative of -9*q**2 + q - 1. Give b(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4))**(6\/25))**(3\/14)\/(w**(-1\/4)\/w**6*w**4*w**(-1)) assuming w is positive.\nAnswer: w**(1133\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 + 118*m**2 + 779*m - 1728. Determine j(-51).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*h + 239348, 0 = -1175*p + 1177*p - h - 119674. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*p + 204*p - 1056 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84634195 is divided by 945?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2609260 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -6*k + 52. Let o be 384\/39 + 4\/k. What is the second derivative of -2*n**2 - 7*n**2 + 0*n**2 + o*n**2 - 4*n wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1682337 - 0.4.\nAnswer: -1682337.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6520324406 to the nearest 1000000.\nAnswer: -6520000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from kkzaemezzze.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085406683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 11*u + 4. Calculate b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5*f + 0*f - f)*(-2 + 2 - 3*f**3) + (-43 - 4*f**2 + 43)*(-9*f - 9*f**2 + 9*f) in the form m*f**2 + c*f**4 + z + d*f**3 + l*f and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2)*(-2 + 4). Suppose 0 = i + k - 0. Let n = 98\/3 + -33. Which is the nearest to i? (a) 0.3 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 1\/3, 1323?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105 + -103 + 55 + -62?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:35 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**3 + 44640*c + 2004062 wrt c.\nAnswer: 18*c**2 + 44640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 21. Let q = 0.1 - 0.3. Is q at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*23*(-153)\/(-6256)*(-176)\/(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48570004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 1. Give b(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123 - -128. Solve l*j = j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - 21634\/(-348) - -2.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h + 39. Let n be w(5). Suppose 0 = -n*i - 10418 + 45146. List the prime factors of i.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q - 65 = 0. Let t = q + 11. Let k be (11\/t)\/((-2)\/4). Which is smaller: 10 or k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4615590 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h + 3*h**3 + 5 - 3*h**3 - h**3 - 5*h**2. Let o(t) be the first derivative of -t**4\/4 - 4*t**3\/3 - 2*t**2 + 4*t + 6163. Determine -4*a(x) + 5*o(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/461 (b) 43 (c) 2\/3 (d) -1\/3 (e) 0.4 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-1254)\/(-2) + 0). Let z = a - 579. Calculate the greatest common divisor of z and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jduu when four letters picked without replacement from {j: 4, u: 6, d: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.008704 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -89. What is the third derivative of -v - 10*v**3 + w*v**2 - 50*v**3 - 11*v**2 + 7*v wrt v?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000249075 rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -6. Let b = 7 + i. Suppose -10 = -5*h - 4*r, -4*h + 2*r = -6*h + 2. What is the smallest common multiple of b and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3))*2 + sqrt(3) - (sqrt(36)\/sqrt(108))**2.\nAnswer: 5\/3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(1\/2)))**(-5)\/(q**7*q**(2\/15)*q*q) assuming q is positive.\nAnswer: q**(-199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(q\/q**(-1\/2))*q))\/q)**(29\/2)*(q*q**9*q)\/(q\/((q*(q\/(q*q\/(q*q\/(q\/(q\/q**(-10))))))\/q*q)\/q)))**(-16))**(-45) assuming q is positive.\nAnswer: q**9900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3.1. Let b = z + -4.698. Round b to 2 dps.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3 - 3189*l**2 + 113*l + 303140406.\nAnswer: 9*l**2 - 6378*l + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 314 + -320. Let c be i\/10 - (3 - 15\/25). What is the smallest value in -1, 3\/7, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w**2 - 3*w - 5. What is y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4497\/5 + -893. Calculate the common denominator of 48*18\/189 - 3 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 770, 3092, 6834, 11876, 18098?\nAnswer: 25380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1254 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*x**2 - 398 wrt x?\nAnswer: -76*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 0, 6*s - 4*s = -3*t - 184. What is t rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)*o*o**17*o*o)\/(((o*(o**(-2\/105)\/o)\/o)\/o*o)\/(o\/(o\/(o\/o**28)))) assuming o is positive.\nAnswer: o**(-649\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 6. Let q be d(3). Let u be ((-52)\/12 + 3)*q\/(-2). Suppose 2*v + 3*v - 2*g = 10, -4*v - u*g = -8. Solve -v*a + 1 = -5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49262 less than 443365\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(12\/(-24)). Let g(o) = 2*o. Let n(u) = 4*u. Determine t*n(s) - 4*g(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 52 = 66. Let j(l) be the second derivative of -11*l + 0*l**3 + 17\/12*l**4 + 0 - 13\/2*l**b. Find the first derivative of j(m) wrt m.\nAnswer: 34*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -121. Does 8 divide x - (3 + (-3)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, n: 5}. What is prob of picking 4 n?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3185 + -2063. What are the prime factors of w?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2262 - 0.5041. Let j = 0.1223 - k. Let l = j - 0.4. What is l rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 6*g + 41113. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*d + 725 = 30*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*u + 168*u - 121*u + 203*u.\nAnswer: 417*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-3))\/((-4)\/(-120)). Is 7 a factor of (1 - (-22)\/m)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10394 at least -1725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0911 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -292458*a. Let z(f) = f. Determine u(z(j)).\nAnswer: -292458*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 19*t**2 + 2*t + 45. Let h be k(-19). What is the nearest to h in 3, -0.03, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 3. Let n(g) = -12*g - 11. Let a(p) = -4*l(p) - n(p). Calculate a(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 - 890*t - 889. What is y(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2\/3, 1\/4 in decreasing order.\nAnswer: 1\/4, -1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 51*r - 49. What is i(26)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35728, -71350, -106864, -142276, -177592, -212818, -247960?\nAnswer: -283024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32880.\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-88)\/22)\/(4\/6). Let c be -3356*(m + 284\/48)*3. Is c <= 839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-3)\/(((-225)\/(-6))\/5)). Let k(w) = -w**2 + 2*w. Let u be k(2). Let a = x + u. Put a, -2, 4 in decreasing order.\nAnswer: 4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4.8. Let t = -60617\/14 - -8659\/2. Which is the third biggest value? (a) t (b) 3 (c) r (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.1 (c) 3.13 (d) 5 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 + n**2 + 1. Let s be a(-1). Let x be s + (-4)\/2 + (-17)\/(-17). Find the first derivative of -4*g**4 - 25 + 8*g**4 - g**x - 10*g**4 wrt g.\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 5*c**2 - 1\/3*c**3 + 0*c - 1\/12*c**5 + 1\/4*c**4 + 0 + 1\/120*c**6. Let j be (-14)\/(-4) + 4\/8. What is f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0) + 22\/2. Let w = s + -6. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(4\/9)*j)*j**(-22))**(2\/9) assuming j is positive.\nAnswer: j**(-404\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 18529, 3, -4, -49 in increasing order.\nAnswer: -49, -4, 3, 18529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 125417 (base 8) to base 7\nAnswer: 241446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/27, -3, 0 in descending order.\nAnswer: 31\/27, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38066769 by -39.\nAnswer: -976071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2960091604.1 and 0.001?\nAnswer: 2960091604.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 497*z + 86175. Give k(-173).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84572 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 327 and 487805847?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29194 - -29200. Let x be 2\/(-3)*(-1)\/(-3). What is the smallest value in x, 2\/9, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7804 - -0.7804. Let i = -0.08 - -3.08. Let y = i + 0. What is the nearest to j in y, 5, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 13 - 25)*(5*l**4 - 3*l**4 - l**4 - 4*l**3) + 2*l + 2*l**4 - 2*l - 3*l**4 + l**4 + 3*l**4 as d*l**3 + h + k*l**2 + f*l + x*l**4 and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*f - 2*u - 8 = -6*f, -4*u = -8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 12:53 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 849897830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60901.5612029 + -2?\nAnswer: 60899.5612029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 34*z**2 + 602*z + 1173. Calculate o(-7).\nAnswer: -1375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4213131104 - -34?\nAnswer: 4213131143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1836*0.5\nAnswer: -0.0918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 41 = 159. Let p = w + -21. What is the remainder when 21 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 3:51 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1214*x**2 - 77*x - 76. What are the prime factors of k(-5)?\nAnswer: 23, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -13. Suppose 0 = -3*y - 3*f + 111012, -3*f - 110988 = 3*y - i*y. What is y rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9897*m**2 - 13215*m**2 - 1 - 4 + 5.\nAnswer: -3318*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 32*k**4\/9 - 1047536*k**3\/9 + 8572641794*k**2\/9 + 1428839104*k\/3 + 59535872 = 0.\nAnswer: -1\/4, 16368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-128)\/7*-31 - (-5)\/35. Let q = 564 - b. Let r be 2*16*(-1)\/14. Is q smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.262 - 0.27. Let i = w + 25.008. Let c = 25.0000068 - i. What is c rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -72*o**3 + 5*o**2 - 6*o + 7. Let h = -163 + 164. Let q(j) = -j**3 + j**2 - j + 1. Let u(a) = h*k(a) - 6*q(a). Differentiate u(g) with respect to g.\nAnswer: -198*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/120 and 155\/845664.\nAnswer: 4228320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(2*m**2 - 5*m**2 + 4*m**2) - 4*m**2 - 2*m**2 + 3*m**2)*(-290*m + 88*m + 68*m + 84*m).\nAnswer: 200*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584214.3 litres to millilitres.\nAnswer: 584214300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/9*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9)*1)\/((-3)\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -221?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 411*w**2 + 14*w - 11. Is y(1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, -0.2, 1\/6 in decreasing order.\nAnswer: 133, 1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180174620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n. Let g = -13 + 18. Suppose -q - g = 4*q. Let s be x(q). Solve 0 = 2*t + s*a + 8, a = -a - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10 = 0, -10*y + 0*z - 26 - 90 = -2*z - 52 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2. Let r(h) = -h**3 - 7*h**2 - 7*h - 6. Let w be r(-6). Let u(a) = 4*a + w*a - 4*a - a. What is n(u(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4414, 4795, 5440, 6355, 7546?\n\"Answer: t**3 + 126*t**2 - 4*t + 4291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.9*81448.\nAnswer: 2190951.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-4620)\/(-49))\/10)\/((-42)\/196)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 120\/3163?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*g**3 - 214*g**2 - 212*g - 48.\nAnswer: -2*(g + 6)*(3*g + 1)*(5*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 700*q**2 - 1415*q + 710.\nAnswer: 5*(q - 1)**2*(q + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 43 + 2*w**2 - 43)*(-3*w - 2 + w + 4).\nAnswer: -4*w**3 + 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/2 - 4*c**3\/3 + 14*c. Let d(g) = g. Determine f(d(w)).\nAnswer: 6*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1\/3, 0.6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/333193 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -71*m + 16. Let p(k) = 14*k - 3. What is -11*p(a) - 2*q(a)?\nAnswer: -12*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -153.99999794 + 154. Round a to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5782 and 587286.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4479 - -7988. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 10*r + 36. Let w(l) = -6*l + 2*l - 2 + r*l - 4*l. What is w(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -205*k**2 - 611*k**2 - 125*k**6 - 296*k**6 - 757*k**2 - 180*k**2 wrt k.\nAnswer: -50520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -104. Let w be -3 + 1 - 1\/2*z. Solve -2*k - k - w = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*685\nAnswer: -3425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3900\/17)\/12 + 6\/(-51). Solve r = -2*a + 5*n, 2*n = 4*a + 15 - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*a + 180*a = 0. Let h be a + (-1)\/(-8) + 8\/(-64). Suppose 2*x + 0 = 10. Solve x*m - 8 - 7 = h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -12. Let w = -14 + 11. Let h(p) be the third derivative of -p**4\/4 + p**3\/3 + 1009*p**2. Let q(n) = -17*n + 5. Determine o*h(m) + w*q(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1854735, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 829.57 + -830. Let k = o + 4.43. What is the third smallest value in 2, k, -5, -46?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536322403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 14302143234?\nAnswer: -14302143243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 61*a**5\/20 - a**4\/12 - 3768*a**2 - 1578*a + 2. Differentiate v(w) wrt w.\nAnswer: 183*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 10:22 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/6 - w**3 + 4*w**2\/3 + w - 3\/2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*z - 2840 = 0, 16 = -5*z - 9. Let r = b - -1124. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 + a**2 - a**2)*(0 + 0 + 2*a) + (-3*a + 3*a - 2*a)*(6*a**2 + 3*a**2 - 3*a**2).\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2144*t - 1079*t - 208 - 1061*t)*(-4*t**2 + 0*t**2 - 3*t**2).\nAnswer: -28*t**3 + 1456*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 205741993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 56*t**3 + 4 + 174*t**3.\nAnswer: 118*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227821890?\nAnswer: 2, 3, 5, 1373, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -116306.0609 to the nearest 10.\nAnswer: -116310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14010, -14004, -13998, -13992, -13986?\nAnswer: -13980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 67 - 271 = 2*s, s = -x + 63. Let a = x + -87. Let u be 14\/(-3)*(1 - (-75)\/a). Solve g = 2*y - u, 0*y - 5*y - 2*g + 21 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let z = 11 - 16. Let v be o(z). Let h(d) = d**3 - 5*d**2 + 8*d - 5. Let n be h(v). Calculate the highest common factor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4299.\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r + 5*r - r + 6*r**3 + 8*r**3. Let m be b(-1). Let v = -9 - m. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -3434121?\nAnswer: 3434125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 + 61105195*s\/7 + 61105194\/7.\nAnswer: (s + 1)*(s + 61105194)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2. Suppose 5*a - 5*n = 20, 4*a - n = 16 - 6. Let o(l) = -4*l**2 + 17*l**a - 5*l**2 - 2*l + 21*l**2. Give g(o(u)).\nAnswer: -1682*u**4 + 232*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32332*r**2 - 10358 wrt r?\nAnswer: -64664*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (2 + 2) - 2. Let w be 7 - y\/(-12)*10. Find r, given that w*r**3 + 2*r**2 + 4\/3 + 3*r = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 30. Suppose 5*m - 39 = v*m. Let h = 73 - m. Is 34 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 435 - 448 - (-17 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(-1 + (sqrt(27))**2) + (sqrt(243) - (sqrt(243) + -3) - -2*sqrt(12))**2.\nAnswer: 24*sqrt(3) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 11*j + 7. Let h(t) = t**2 + 10*t + 7. Let s(b) = -4*d(b) + 5*h(b). Let k be s(-5). Suppose -q + k*q - 28 = 0. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 21275*p. Let t(n) = -16*n - 13. Determine t(b(x)).\nAnswer: -340400*x - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/720 and 119\/10?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 7:28 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -28 (b) -5 (c) 1 (d) -1.4633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 + 4*w**2 + 32*w\/5 - 64.\nAnswer: -2*(w - 10)*(w - 4)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*m + 2*m + 9*m - 42 + 4*m to the form s*m + y and give y.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-4))\/((-1121)\/(-649))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Suppose -d*b = -p + 1 - 36, -3*b = p - 35. Suppose -4*t = u + 4, 0 = -4*u - 0*t - 3*t + b. Solve u*q - 24 = 4*f, -f - q - 7 = -3*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 15*k**3 + 16*k**2 - 172*k + 14. Determine h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 93 = 108 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5253*g**5 + 385*g**4 - 3*g**2 + 44329153*g wrt g.\nAnswer: 105060*g**3 + 4620*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 26*y**2 + 176*y + 114. Calculate h(-16).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 138 = -19*l - 5*d, -3*l - 5*d + 5*d + 6*d + 0*d - 18 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 17000 = 9*r. Suppose 197*n = 202*n - r. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + 1aa0?\nAnswer: 1a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 32759020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85337 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -857*b**3*k**3 - 2*b**3*k**2 + 5*b**3*k + 290*b**2 + 2*b*k**3 - 8*b*k**2 - 33*k wrt b.\nAnswer: -5142*k**3 - 12*k**2 + 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 369119716 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933720 is divided by 38888.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 68. What is the highest common divisor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66530 times 21?\nAnswer: -1397130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38156498 is divided by 4489.\nAnswer: 4487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-1)\/26*6)\/((-4)\/(-2) - 5))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 - 28*k**2 + 10*k - 31. Let j(c) = -c**3 + 6*c**2 - 3*c - 2. Calculate the remainder when a(-10) is divided by j(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 27 = u - 3*z, -4*u + 8 = 3*z. Suppose -3*d = -u*a - 40, -4*d - 3*a + 2*a + 38 = 0. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-10 + (-210)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -13*p**4 + 14*p**2 + 11. What is the second derivative of h(x) wrt x?\nAnswer: -312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 841+-1.4\nAnswer: 839.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646268 divided by -23081.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 10*q - 20. Let s be h(-6). Solve 7*t - s*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a**2 - a + 1. Suppose 2*j = -2*n + 23 - 3, -8 = -2*j. Let u(v) = -2*v**3 + 3*v**2 + 3*v - 3. Give n*q(s) + 2*u(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(11*(-658)\/(-4136))?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 - 7?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -4*v**5\/15 + 10*v**4\/3 - 32*v**3\/3 - 20*v**2\/3 + 100*v\/3 - 9288. Find r such that f(r) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4859813314?\nAnswer: 2, 2429906657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0143 + -1.0143. What is the third biggest value in 9.8, 2, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -3 + 4 - 25. Let y = 27 - 45. Let x = y - j. Let v(q) = -q**3 + 4*q**2 - 2*q - 3. What is v(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-805)\/(-46)*(-3)\/(6\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1020)\/45 + 23)\/((-3)\/(-9))*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/21*30*75\/75?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8605599 - 970030 + 5051596 = 135*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 + 1592*f**2 + 7*f + 2793. Determine a(-398).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4721782863 + 4721782863 - 580*o**2.\nAnswer: -580*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1653 equal to -1302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + v**3 - 6*v**4 + 5*v**4 + 3*v**4 + 4*v**4 in the form x*v**3 + h*v**4 + p*v**2 + y + r*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 28 = 2*z, 2*z + 3198*k - 44 = -3199*k + 6393*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 0*o + 0*o + 2 + o**2 - 2 + (-19 + 27 - 66)*(-2 + 2 + 2*o**2).\nAnswer: -114*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 5*g**2 - 4*g + 4. Give u(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmcwlacg. Give prob of picking 1 m, 1 c, and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/350)\/(((-2)\/5)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*x + 2\/5*x**5 + 2\/5*x**2 + 6\/5*x**4 + 6\/5*x**3.\nAnswer: 2*x**2*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2167535?\nAnswer: 5, 433507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*-2*(-2 + 3). Solve -h*b - 4*p - 5 = b, 5*p = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2324*y**5 + 27*y + 9?\nAnswer: 46480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20*s - 16 - 22*s + 6*s**2 - 2. What is the hundreds digit of l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139014\/24*8\/3?\nAnswer: 2, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -1\/120*h**6 + 0*h - 1\/6*h**3 - 1\/24*h**4 - 1\/30*h**5 + 0 - 24*h**2. Determine a(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 21. Let x = 4.93 - 0.93. Which is the nearest to x? (a) j (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + 11 + 2*r**3 + 0*r**3 - 10 + 2*r to the form k*r**3 + u + o*r**2 + w*r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 16 = -8*j. Suppose j*b - 504 = 2*x, 2*b + 2*x = 4*b - 250. Suppose -3*m - b = -313. Calculate the remainder when m is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 3. Suppose -4*b = -1 - 3. Solve o - 2*c = j, -b = 4*o - 2*c - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987760385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 88, 89, 78, 49, -4, -87?\n\"Answer: -f**3 + 8*f + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in -1\/7, 5, 0.2, -369.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -4. Suppose -20 = -4*i - 4*h, h - 5*h - 20 = 0. What is the remainder when 1\/j + 152\/10 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-126) - 3\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = 0, -5*t + 69*p = 67*p - 428. Let y(v) = 210*v**2 - v + 1. Let b be y(1). What is the highest common factor of b and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*-14*235176\/(-20076)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2215*l - 551*l - 557*l - 556*l - 553*l. Let z(f) = 70*f**2. Calculate z(m(p)).\nAnswer: 280*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/100 and -4\/3125.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k - 2185 = 73*k + 94*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 74. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 822\/10 - (-1)\/(-5). Suppose -a - 5*m + 12 = 0, -5*m + c = -5*a + 262. Suppose -a = -d - d. What is the smallest common multiple of d and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-71 - (100 - 188)) + (-1 - 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/8 and -67\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4145 = 21*m + 428. Suppose -5*j + 4*b + 21 = -m, 4*b = 2*j - 72. Calculate the highest common divisor of j and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1976, -5923, -13822, -21721, -29620, -37519?\nAnswer: -45418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 9:34 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*0\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11457 - 251951\/22. What is the common denominator of o and 2*(2\/13 - 385\/(-624))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 882 and 324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.97 and 2333.\nAnswer: 2334.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + -0.1. Let z = d - 1.5. Let w = -4.4 - -4. Which is the second biggest value? (a) -4 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + i - 5*i)*(-i + 4 - 4) - 2*i + 2*i + i**2 + (-34 + 16 + 70)*(4 - 4 - 2*i**2) in the form b + s*i**2 + a*i and give s.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*l = -0*l - 259, 0 = 4*j + 4*l - 264. Calculate the remainder when (22\/55)\/((-10)\/(-7050)) is divided by j.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 - 39424*k**2 + 6550404*k - 19296504 = 0.\nAnswer: 3, 166, 9687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697774882?\nAnswer: 2, 7, 157, 317459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-21) + -2)*(-30)\/10.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 3:14 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 7. Let v be y(-4). Suppose 2*l - 26 = -k, -3*l + 3*k + 54 = 2*l. Let u(a) = a + 7. Let o be u(-7). Solve -v*i - l = -o*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 - 2*c**2 + 3*c**2 - 4*c**2 + 10 - 7*c. Let l be q(7). Suppose 0 = -6*z + z - l, 0 = -3*r - 3*z + 6. Solve r*g = 5 - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2985 + 4212 = -137*k + 5063 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 969243044 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -4*c**3\/3 + 5*c**2\/2 - 6*c. Let k(f) = -4*f + 3. Let s(d) = -4*i(d) + 9*k(d). What is the derivative of s(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60045145668590 + -4.\nAnswer: -60045145668594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -22. What is the lowest common multiple of y and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15*i - 3. Let q be 7*(-8)\/(-8) + -8. What is p(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 5*c**2 - 7*c + 5. What is g(-7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2, 4, 1, -0.0005 in descending order.\nAnswer: 4, 2, 1, 1\/5, -0.0005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457 = -565*d + 578*d - 71 + 394 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*f - 3 = 3*w, 0 = 5*w + 3*f - 3. What is the third derivative of 3*c**2 + w*c**2 + 19*c**4 + 20*c**2 - 4*c**2 wrt c?\nAnswer: 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -105\/4? (a) 7 (b) 2\/33 (c) -3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591161847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -121. Find the common denominator of 19\/10 and z\/(-54) + (-29)\/282.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/56 and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.108 and 4.11?\nAnswer: 4.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -39*(-4)\/(-2 - -14). Let g = c - 12. Let z be (g\/(-3))\/(-1 - -3). Is z != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from zcwmwc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 839 + 4031. Let f = -532 - o. Solve 0 = -3*a + 5*s - f - 1, -5*s = 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q. Suppose -h - 5*h = q. Suppose h = -5*w, -w - 87 = -3*f - 12. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/(-3))\/2 - -37 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*y + 27*y, -2*r - 4*y = -346. What is the remainder when r is divided by -1 + 3 + 23 + 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*g - 0*g. Let s = g - 5. Suppose b + 8 = 3*b. Calculate the remainder when b is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 + 4*r - 3. Let l(f) = -9*f**2 - 7*f + 5. Suppose 5*v - 2*x + 6 = 4*v, 0 = -5*v - 5*x + 30. Suppose -8 = -v*a - 2. Calculate a*l(g) + 5*y(g).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5840.498 decades in centuries?\nAnswer: 584.0498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 151?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -17.3.\nAnswer: -3.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 172 - 1 - (-4)\/(-10)*15 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**2 + 10515*x = 0.\nAnswer: -2103, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49507 = 4*a - 6401. Suppose -3*k + 4*f = -a, -k + f + f + 4657 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1070 divide 226412000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0437a (base 12) to base 15.\nAnswer: -39332a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(12)\/sqrt(6) - (0 + sqrt(2) + 5) - (-1*sqrt(2)*-2 + (sqrt(96)\/sqrt(6))\/sqrt(8)).\nAnswer: -5 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -97. Suppose u*q = 2*q - 528. Let j = 27 - q. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45534 (base 12) to base 8\nAnswer: 264270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 0*s**3 + 12 - 3*s**3 - 8*s**2 - 11*s - s**3 + 5*s**3. Determine y(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -161*j - 109. What is h(-5)?\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(15\/4))**(1\/8)*o**(2\/31)\/(o\/(o\/o**0)) assuming o is positive.\nAnswer: o**(529\/992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 10) to base 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5) - 52\/65.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q\/(q\/(q*q\/(q**(-2)\/q)*q)))**35 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 - 101. Let h(p) = -p + 2. Let t(x) = -6*x + 9. Let g(q) = -11*h(q) + 2*t(q). Let w be g(-6). Which is the closest to w? (a) n (b) 2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*5\/(-4) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6 + 2.6. Which is the closest to 1? (a) -11 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205 - -234.4. Let j = 35 - p. Let z = -6 + j. Which is the smallest value? (a) 1\/5 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.4 - -27.399754. Round a to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q - 1\/12*q**4 + 1\/30*q**5 + 0 - 1\/120*q**6 - 1\/6*q**3 - 16*q**2. Suppose 7*o = -147 + 161. Give m(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*a + 107 + 148 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(-3))\/(5 + -7)*75453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32341 + -120322?\nAnswer: -203213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30566?\nAnswer: 2, 17, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {e: 4, b: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/336 and 11\/32400.\nAnswer: 226800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(198)*-2 - sqrt(198))\/(sqrt(18)\/(-2*sqrt(9)*6))*3.\nAnswer: -540*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -95568076 - 394903\nAnswer: -95962979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 90, 119, 144, 165, 182, 195?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*j + 2 = 0, 2*g - 4*g - 5*j + 22 = 0. Suppose -4*u + g = -90. What is the remainder when 43 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -75, 19, 125, 225, 301, 335, 309?\n\"Answer: -3*q**3 + 24*q**2 + 43*q - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.54 + 0.04. Which is the second biggest value? (a) 3 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141213 and 65808.\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = -8. Let w(k) = k**3 - 3*k**2 - 4*k + 1. Let f be w(j). Let l(g) = 2 + 0 - 364*g + 367*g. Let t(a) = -15*a - 11. Give f*l(q) - 2*t(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 0, 1\/4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 6*j - 6. Let l(m) = m**3 - 7*m**2 + 8*m - 8. Suppose 6*z + 2*x + 10 = z, -z + 20 = -4*x. Suppose 5*d - 2 - 28 = z. Let h be l(d). Give r(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 20782 = -2769. Solve 9*o = -g + 2123 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37818 by 352.\nAnswer: 1719\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Suppose 2*c + c - 33 = d. What are the prime factors of 4\/22 - (-152)\/c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**2 + 3*z**2 + 4*z**2 + 206. List the prime factors of w(0).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.54462 months in centuries?\nAnswer: 0.06545385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 21*g - 37. What is m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f**5 + f**4 + 7*f**3 - 9*f**2 + 74?\nAnswer: 720*f**2 + 24*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**7\/210 + 3*t**5\/20 + 4*t**2 - 10*t. Let j(f) be the first derivative of o(f). Find the third derivative of j(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.6 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.67 + 8.2. Round m to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -101.\nAnswer: 48\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3 - 10321*d**2\/2 + 1290*d = 0.\nAnswer: 0, 1\/4, 2580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + 91*g**2 + 29*g - 37. Determine w(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(11) - sqrt(11)*-2) - (sqrt(1331)*2)**2)*4 + ((-1*1*sqrt(99) - sqrt(99)) + sqrt(99))\/(sqrt(729) - sqrt(729)*-2 - sqrt(729)).\nAnswer: -21288 + 215*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*p - 3268, -62*t + 60*t + 1630 = -4*p. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -9. Suppose -2*f = s*f. Suppose f = 4*i - 2*a - 12, a + 6 + 6 = 4*i. Solve i = -g - 0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -2 (c) 1\/4 (d) -281 (e) 82 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 7 + 20. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -146\/3 (b) 0.07 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1)**(-5\/2) assuming t is positive.\nAnswer: t**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -1600*q**3 - 5472*q**2 - 4452*q + 392 = 0.\nAnswer: -7\/4, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 773, 1129, 1467, 1781?\nAnswer: 2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - q - 5 = 2*q, -5*j = 3*q + 14. Sort -4, 5, j in decreasing order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -70*y**2. Let o(g) = g**2. Let l be (-4 - 19\/(-3))*(2 - (-34)\/(-2)). Give l*o(h) - m(h).\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113560033?\nAnswer: 43, 61417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34544, 69096, 103654, 138224, 172812, 207424?\n\"Answer: o**3 - 3*o**2 + 34554*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86.18 * -5.\nAnswer: 430.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + (sqrt(242) - (sqrt(242) + 0)) + -3.\nAnswer: -3 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526979801 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, 58 in ascending order.\nAnswer: -16, -5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 828694*u**4 + 540228*u wrt u?\nAnswer: 9944328*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9192\/(-36))\/(3\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 12. Suppose -i + 9 = 2*d, 39 = -d + y*d - 3*i. Solve -l + d*l = 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Suppose -3*w + 4*w = 5*c - 24, 4*c + w = 21. Calculate the remainder when (u - 4)*17*1 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33733852 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 4.02. Let k = -18 - -17.5. What is the biggest value in h, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 2*v**2 - 10*v**2 - 2*v to the form u + n*v + j*v**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -17*y**2 + 37*y + 53. Calculate a(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618498633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 2*a**2 - a + 1. Let d(k) = -15*k**3 + 128*k**2 - 125*k + 15. Let h(r) = -d(r) - 3*f(r). Suppose h(g) = 0. Calculate g.\nAnswer: 1\/6, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**20*v)\/v*(v**(-15\/7)*v)\/v*v\/v**(4\/13)*v*v\/(((v*(v**38*v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(-5046\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, i: 1, r: 1, x: 1, m: 5}. Give prob of picking 3 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6413*d + 5. Is w(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 3*s. Let f(z) = -9*z**2 - 148*z + 161. Let q(i) = -5*f(i) - 20*m(i). Factor q(w).\nAnswer: 5*(w - 1)*(w + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30398615 divided by 5\nAnswer: -6079723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -70 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*h + 103*h + 168273 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b5 (base 16) to base 15.\nAnswer: 1e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61121 (base 9) to base 14.\nAnswer: -10911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655500 (base 10) in base 7?\nAnswer: 5400036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*k - 26 = c, -3*c = -2*k + 15. Let j = k - 7. What are the prime factors of (11 - 5)\/(4\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92461 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -727717*d**3 - 1183219*d**2 wrt d?\nAnswer: -4366302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.92. Let v = -2.58 - b. Let l = v - -10.3. Round l to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*p + 16 = 0, -g - p - 4 = 1. Let l = g - 1. What is the common denominator of (-45)\/(-8)*(-20)\/l and -59\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -16. Let r = 17 - n. Let m = -6 + r. Is m > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -189\/16 (c) -0.2 (d) -2\/9 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 167992274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 0.18.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 7*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77732*h**3 - 129409.\nAnswer: -233196*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327*n**3*p**2 - 463303*n**3 - 104*n*p**2 - 125*n + 188*p**2 + 4 wrt n.\nAnswer: 1962*n*p**2 - 2779818*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/21*-1*(-6)\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(1\/8)*(((w\/((w*w*w**(-1)*w)\/w)*w)\/w*w)\/w*w)\/w)\/(w**(-5\/2)\/(w*w*w**(4\/3)*w)) assuming w is positive.\nAnswer: w**(215\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, and 2 b when four letters picked without replacement from ewwwwewwwbwwb.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -1\/15*g**3 - 1\/10*g**2 + 8 + 2\/5*g. Let m(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051505271 to four decimal places.\nAnswer: 0.0515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, -208, -739, -1722, -3295, -5596, -8763, -12934?\n\"Answer: -23*l**3 - 19*l**2 + l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2244 and 24?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -c + 177 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110001010100111011 (base 2) in base 3?\nAnswer: -11211010111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4582 - 1443 = -1296*v + 1223*v for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 33\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1385988712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 328 - 3108. Suppose -3*t = -0*s + 3*s - 417, 0 = 5*t + 3*s - o. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/42 and 199\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021338 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:25 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10*(-4)\/40)\/(((-9)\/(-888591))\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -240.553048032 and 0.16.\nAnswer: -240.393048032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145796 and 784.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/741 + 9617\/5928. Let n = -2 + 3. Is f < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 34. Calculate the lowest common multiple of u and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - (-20)\/8. Factor 6*u**2 - 12*u**3 - 15*u**4 - 2*u**x + 2*u - 3*u**2.\nAnswer: -u*(u + 1)*(3*u + 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:10 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -238 (c) 2\/7 (d) -1\/6 (e) 919\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let s be 23 + d*(-1)\/(-1). Let w be (-4)\/(-4 - 210\/(-54)). Calculate the greatest common divisor of w and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j - 7*j - j + 5*j - 2*j - 2*j + (2 + 1 - 1)*(17 + 14*j - 17) in the form l*j + b and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -12. Let k = y - -15. Let f = -45\/2 + 22. What is the closest to -0.1 in f, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) 3 (b) 7 (c) -1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24382*p**3 + 2299*p**2 + 396712630?\nAnswer: -73146*p**2 + 4598*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/11))*x)\/(x*x**(2\/31))*x*x*x**(-2\/3)*(x\/((x\/(x\/(x\/(x*(x**14*x)\/x))*x))\/x)*x)\/x)**(-29) assuming x is positive.\nAnswer: x**(-544678\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2587366679\/1727319 - -14\/157029. Let p = 1501 - g. Calculate the common denominator of p and 28\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -42. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1600)*-2 + sqrt(1600) + sqrt(16))\/sqrt(8))**2 + 5 + 2 + sqrt(242).\nAnswer: 11*sqrt(2) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -10. Let n = -57 + 59. Let g(h) = 1 + n*h**3 - 5*h**3 + 8*h**2 + 6 + h + 4*h**3. What is g(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3423 + -3421. Solve z + 10 = -b*i + 2*z, 0 = 3*z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -11\/10, -1\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-171)\/90 - -1*2. Put -4, d, 5 in increasing order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 3307.\nAnswer: 3306.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -17*g**3 + 4*g + 7. Suppose -19 = 3*f - 31. Let t(s) = -50*s**3 + 11*s + 20. Let u(o) = f*t(o) - 11*x(o). What is the first derivative of u(i) wrt i?\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 236 + -216. Calculate the highest common divisor of o and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/175 and -73\/639744.\nAnswer: 15993600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344)*2)\/(2*sqrt(175)) + (sqrt(300) - -3*2*sqrt(300) - (-4*sqrt(9)\/sqrt(3) + -2))**2.\nAnswer: 1488*sqrt(3)\/5 + 16432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ravuz. What is prob of sequence zu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/7)*r*r**(-2)*(r**(2\/13)*r*r)**(-35))**(-48) assuming r is positive.\nAnswer: r**(335520\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 723 in -0.4, 5, 3, -1210?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**(-2))\/s)\/(s**(3\/8)\/s))**(-22) assuming s is positive.\nAnswer: s**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112154552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136336671 and 1854?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307\/8 or -38?\nAnswer: -307\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-10)*(-120)\/3. Let s = 67 + d. Let b = -10 + s. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -42727 < -128185\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*l - 4*l. Let c(x) = -x**3 - 5*x**2 - 14*x - 30. Let v(z) = -z**2 + z + 1. Let s(k) = l*v(k) + c(k). What are the prime factors of s(-10)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218400 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6009, -6488, -6967, -7446, -7925, -8404?\n\"Answer: -479*v - 5530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00046664484 rounded to 6 dps?\nAnswer: 0.000467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2247\/(-735)*7 + 24\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 59128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 2*g**2 + 36. Let m be x(4). Let q(n) = n**3 + 2*n**2 + 6*n - 2. Let j(c) = 2*c**3 + 3*c**2 + 7*c - 3. Calculate m*j(u) - 6*q(u).\nAnswer: 2*u**3 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -1.50000208. Round n to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/4, -0.2, -1\/2, -0.82?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -1132. Solve 0 = 5*s - f + 1139 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuuv when four letters picked without replacement from qvxxuqxuxxqqvxvg?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-520)\/50)\/((-2)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1212 + -1209. Put -7, 2, s, 1 in descending order.\nAnswer: s, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476221869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5\/5 - 2*w**4 + 14*w**3\/3 - 150*w. Determine d so that c(d) = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -2\/23 (b) 2 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 352, 502, 654, 808?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -0*r - 2*r. Calculate the remainder when -6*110\/(-12) - 6\/1 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261224.3783 rounded to the nearest 10?\nAnswer: -261220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 14. Suppose 18*b - 9800 = -8*b - 219*b. What is the greatest common divisor of b and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z**2 - 251*z**2 - 186*z**2.\nAnswer: -397*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -1, -6, -3, 14?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (21 + -96 + 29 + -1 + 0)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znfot. What is prob of picking 1 o, 1 f, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = 0, -5*t - 1558 = 2*p - 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 2:33 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 339 + -528. Let p = 191 + s. What is the smallest value in p, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3555, 14179, 31887, 56679, 88555, 127515?\nAnswer: 173559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tit when three letters picked without replacement from utkhtukkktikipt.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 20. Let h = 33 - 25. Let k be w(h). Suppose k*z - 404 = -2*b + 232, -3*z = 3*b - 477. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551890021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*w = -31, 2*p + p - 53 = 5*w. What is the highest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6479288023 to the nearest integer?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10 - 3*r - 11 + 7. Give h(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 - (34 - (-5 + (-9 + 0 - -7))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/43))**(3\/2))**(2\/23) assuming c is positive.\nAnswer: c**(-6\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2 - 2)*(0*u + 2*u + 2*u) - u - 2*u**2 + u + (1 - 1 + u)*(-2*u - 2*u + 5*u) - 2*u**2 + 2*u**2 - u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5774*v = 5762*v + 24. Let z(w) = 4*w**3 + 2*w - 2. What is z(v)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 43727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0256 - 0.0063. Let k = -0.02292 + s. Round k to 4 dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 smaller than 77654.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 15*t - 6 = -i, -18 = 5*t - 14*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 14 + -12 + 1 + 17 + -13\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -182, -249, -296, -317, -306?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -395, -612, -847, -1106, -1395?\nAnswer: -1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/15 - m**3\/2 - 5*m**2. What is the first derivative of u(r) wrt r?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 34*w**2 + 141*w + 2395. Calculate q(-36).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 22*d - 218 = -100*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 37*h**3 - 2. Let a be g(2). Suppose -5*t - 701 = b, -4*b + b = -2*t - a. Let d = 44 - t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595605899 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11694 (base 14) in base 8?\nAnswer: 122742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 37*u + 330. Calculate c(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -3\/2 (c) 2\/9 (d) -3 (e) 0.92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.08.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Let l(a) = -a**3 + 9*a**2 - 10*a + 7. Let b be l(6). What is the highest common factor of k and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*s**2 + 5391624*s + 1198140.\nAnswer: -3*(s - 199690)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -4 in descending order.\nAnswer: 8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 342*s**2 + 344*s**2 - s - 685*s**2. Let z(x) = 3*x + 2. Calculate -2*i(l) - z(l).\nAnswer: -2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/15 + 1\/3. What is the nearest to -2 in 2, f, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304701801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0 - 1\/3*w**3 + 5*w + 0*w**2. Let x(m) = m. What is x(d(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 91620143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1990, -1936, -1882, -1828, -1774, -1720?\nAnswer: -1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1074373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.50405 + 0.5.\nAnswer: 5.00405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 499*s**2*t*w + 4*s**2 + 2*t*w + 84*t with respect to w.\nAnswer: 499*s**2*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1014 and 6792279.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 384 + 352 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0742487 from -16980.2958.\nAnswer: -16980.2215513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 38ba36d?\nAnswer: 38ba36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 6 + -14 + -53?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4 - -2) + 2)\/1. Suppose l*o - 16 = -2*j + 4*o, 2*j = o + 16. Calculate the smallest common multiple of 20 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwwhnww. Give prob of picking 1 n, 1 h, and 2 w.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8277 divided by 31?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1214022 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**2 + 6*t**2 - t**2)*(0 + 0 - 2*t).\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 110100010?\nAnswer: 110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 479, 978, 1491, 2024, 2583, 3174, 3803, 4476?\nAnswer: 5199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4919*q*t**2 - 479*q + 9*t**2 - 72*t - 312 wrt q.\nAnswer: -4919*t**2 - 479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -210, -464, -760, -1104, -1502, -1960?\n\"Answer: -y**3 - 15*y**2 - 202*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 1, 4*u = 3*u - 2*c + 7. Let p(w) = w**3 - 7*w**2 - w + 9. Let y be p(7). Put 1, u, y, 36 in decreasing order.\nAnswer: 36, u, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3005 or 3004?\nAnswer: 3004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30420.05 - 30420. What is the third smallest value in t, 16, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1705146 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 3 + 11 + 10 - 2*q as z + c*q and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/(1\/5 - (-1764)\/(-6720)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 651900, 2607760, 5867524, 10431192?\n\"Answer: 651952*s**2 + 4*s - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -3*m - 1166. List the prime factors of m.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14207 - 14817. Sort u, 0, 0.5.\nAnswer: u, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 6:41 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 8*l = 53, 30396*l = 4*r + 30400*l + 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q, q + 1780 = -92*f + 93*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*s + 10 = -0, -2*a - 3*s = -11. Sort -5, a, -0.5.\nAnswer: -5, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.8 + 8.723. Let k = a + -0.253. Which is smaller: 2\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6)*9\/(-2). Let m be 5*(3 + (k - -1)). Sort -4, 3, m in descending order.\nAnswer: m, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*z - g + 14, 16 + 37 = 5*z + g + 47 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -875357, -875358, -875359?\nAnswer: -875360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100100101101110111 (base 2) to base 15.\nAnswer: -82375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - 22 - (9293 - 9342).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -104611, -104612, -104613, -104614?\n\"Answer: -y - 104610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d - 6*d, 3*y = 2*d + 682. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-12)*(-1 - -11)*-1. Suppose 5*i - 20 = -v. Which is the closest to 0.2? (a) i (b) -7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**4 + 3*s**4 + 2*s**4 + (s + s**3 - s)*(64*s - 130*s + 44*s) as l*s**3 + h + q*s**2 + r*s + j*s**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -405070 or -405072?\nAnswer: -405072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2404043 (base 7) to base 8.\nAnswer: 1121471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7329 - 7100. Calculate the remainder when 905 is divided by x.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108441*s**2*w**2 - s**2*w - 3*s**2 - 48*s - 2*w**4 - 631*w wrt w.\nAnswer: 216882*s**2 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.206 + 9.2. Let j = q + 2. Let f = -0.00554 - j. Round f to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426923*h**2 + 853005*h**2 - 426882*h**2.\nAnswer: -800*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3244 and 0.0367.\nAnswer: -0.01190548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1338 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18539.\nAnswer: 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 158259 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 4*l - 26 = 0, 23*l - 20*l - 23 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/9 + 2*o\/9 + 20 = 0?\nAnswer: -9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -2. Let l = z - -28. Let h = 1221 - 1204. Calculate the remainder when l is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 - -1) + (-986 - -991)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -7*v**5\/60 + v**4\/12 + 65*v**2. Let m(s) = -7*s**2. Give m(a(n)).\nAnswer: -343*n**4 + 196*n**3 - 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 324260639 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*(m*m\/(m**(-6\/5)*m)*m*m)\/m)\/m)**(-24)*m**(-25)*m**(-9)*m assuming m is positive.\nAnswer: m**(-669\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 9*m - 6. Let f(v) = -4*v - 91. Let p be f(-25). Give j(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/14*(-2345)\/201. Let q(n) be the first derivative of 12\/5*n**d + 0*n**2 - 5 + 0*n**3 + 2*n + 0*n**4. Differentiate q(z) wrt z.\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2472485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 2*h**3 + 0 + 2*h - 7\/2*h**2. Is x(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t + 17710 + 27347 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*j - 8*j + 14, -2*q + 12 = 4*j. Which is the smallest value? (a) -0.1 (b) -0.26 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 5445?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 166673.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -539, -541, -547, -557, -571?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9791 + 9786. Which is the third biggest value? (a) 1\/44 (b) k (c) -1 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 + 41 + 37 - (0 + 26)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 2*z + z - 10. Let s be (-275)\/(-55) - (-16)\/((-2)\/1). Let g be 96\/(-7) - 2\/7. Let j(q) = -q + 2. Give g*j(p) + s*c(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7308.259 decades in years?\nAnswer: 73082.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from iblqm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95\/267 - 2\/89. Let l = -305\/3 + 102. Let j*g + 0 + l*g**2 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than -11375\/1437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*m**2 + 21*m**2 + 17*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/13)\/(108\/(-1404)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(5 + (sqrt(175) + 0)*-5).\nAnswer: -50 + 250*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 82 + -83 + 0 + -4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 n, and 1 y when four letters picked without replacement from {m: 3, n: 2, y: 1, a: 6, d: 5}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45531332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 = 12. Let p(u) = -7*u + 1 + s + 1 + u**2. Determine p(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290 - 56. Suppose -5*v + 0*q + 3*q + a = 0, v - 57 = 4*q. Suppose -v = -z - 5*l, 2*l = 2*z - 3*l - 15. Solve -2*h - 30 = -3*n - n, 5*n = -h + z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -3 + -6 + 3 + -9?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(392)*-2)\/((sqrt(1024) + sqrt(1024)*-2)\/sqrt(4)).\nAnswer: -7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - 127.9665. Let b = l + -0.0149. What is b rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5 = 0, -2*x = -18*q + 23*q + 21 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 - a + 2. Does 9 divide h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*f + 2*f + 4*t, -3*t + 47 = 2*f. Find i, given that -125\/2 + f*i - 5\/2*i**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l + 5 = 2*s, 25 = -3*s - 5*l. Suppose u + 5*g - 7 = -s, 5*u = -3*g + 13. Calculate the lowest common multiple of u and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.16 or 23\/5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15690, 28605, 41520?\nAnswer: 54435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219213898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132102 (base 4) in base 13?\nAnswer: b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(0*x**4 - x**4 - x**4) - 12194 + 342*x**4 + 12194 in the form f*x + k*x**2 + g*x**4 + m + u*x**3 and give g.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2789, 3827, 5551, 7961, 11057, 14839?\nAnswer: 19307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6510 + 117253\/18. What is the common denominator of 50\/4*92\/1265 and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 501, 1013, 1529, 2049, 2573, 3101?\n\"Answer: 2*u**2 + 506*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 305*w - 1\/150*w**5 + 0 - 121\/45*w**3 + 0*w**2 + 11\/45*w**4. Determine h, given that b(h) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-s**2 - s**2 + 0*s**2)*(-2*s**3 + 5*s**3 - 4*s**3).\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**3 + 1358*x - x**2 - 1359*x + 2*x**3 - 3*x**4 - 1 to u*x**2 + c*x + r + j*x**4 + d*x**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - 1?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20131101 - -4140?\nAnswer: 20140241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-56) - (-3)\/(-12). Let u(o) = -o + 9. Let d be u(8). Sort 4, w, d, 6 in decreasing order.\nAnswer: 6, 4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -3*c + 3, 651*w - 660*w + 1 = -4*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 145.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.8 + 1.2. Let d = -9 + z. Let a = -2.99994 - d. What is a rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 7:17 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -9*k + 4*k - 4*z, -2*k = -2*z - 4. Let p(y) = 5*y**2 + y - 15. Let m(u) = -3*u**2 + 8. Let t(j) = -7*m(j) - 4*p(j). What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -60*h - 6 + 16 - 7 + 0. What are the prime factors of b(-2)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540.89*7.\nAnswer: 3786.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25873.401 rounded to the nearest integer?\nAnswer: 25873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 3*f)*(4*f**4 + 2*f**4 - 9*f**4 + (-2*f**3 - 3*f**3 + 2*f**3)*(3*f - 3*f + 2*f) - f**4 + 2*f - 2*f).\nAnswer: -30*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-21))\/((-2)\/14). Suppose -2*c - 2*k = -66, -p*c + 3*k = -0*k - 41. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11 (b) 0.3 (c) -2 (d) -2223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = 4*t, 9*v = 12*v - 4*t. Solve -13*a = -v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 3*g + 2. Let n be k(3). Let v(z) = -z**3 + 4*z - 3 + 4*z**2 + 0*z**2 + 8. Let l be v(5). Solve n*y - 4*d + 6 - 16 = l, 3*d = -y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 4*b**2 - 4*b - 6. Let i be j(5). Let p = 4 - i. Suppose -4*y + p*y = 371. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44.18163um?\nAnswer: 0.04418163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16360.83 and -0.5.\nAnswer: 8180.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -2\/31 (c) 0.3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 34022776?\nAnswer: -34022776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*-2*sqrt(14) + sqrt(14))\/sqrt(2))**2 - ((sqrt(28)\/(sqrt(4) + sqrt(36)\/sqrt(9)))**2 - (sqrt(252)*-5)**2).\nAnswer: 26573\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(-1\/4)\/(s**(-2\/19)\/(s**(-2)*s)) assuming s is positive.\nAnswer: s**(-155\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26790417?\nAnswer: 3, 31, 131, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 364 + -350. What is the lowest common multiple of p and 114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:18 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.89 + -245960.\nAnswer: -245962.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*l + 191*l - 1139 - 11313 = 2258*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1. Let c(v) = v - 3. Let h = 14 + -11. What is h*l(k) + c(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58 + 48 - 22) + (-2 - -1) + 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k**(18\/11)\/k))*k**(-1\/25)*(k**(-4\/11))**(-1\/12) assuming k is positive.\nAnswer: k**(47\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 2. Let p be w(2). Let o be ((-7 - -4)\/(-9))\/((-1)\/(-84)). Solve 4*n - 8 + o = p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -13*v + 17*v. Let n(w) = w**3 - 8*w**2 + 7*w + 5. Let u be n(7). Suppose u*o + v*y - 19 = 0, 0 = -2*o + y + 2*y + 3. Solve -6 = t - o*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(-26)\/(b\/(b*b**(-2\/5)))**32)**7 assuming b is positive.\nAnswer: b**(-1358\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(3\/2)\/u*u*u*u\/(u*(u\/((u*u**(-1))\/u)*u)\/u*u*u))**(1\/86))**(1\/75))**(1\/3) assuming u is positive.\nAnswer: u**(-1\/12900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -44. Let j = -9 - d. Suppose -b - 45 = -j*b. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76.95 + 10.55. Let j = 88.5 - o. Let g be (-27)\/(-28) + 2\/7. What is the third biggest value in -1\/9, g, -1\/2, j?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 255 and 153?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 11*q + q)*(1 - 1 + q) - 2*q**2 - 3*q**2 + 3*q**2.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 151, 142, 129, 112, 91?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 345 = -5*d, d - 20*p + 18*p = 69. Suppose 59*w + 40 = d*w. Solve -3 = -w*j - 5*q - 15, 0 = -3*j - 5*q - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from yeggvvgygggg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 - 8*t - 2. Let p be 200\/(-32) - 1\/(-4). Let a be c(p). What is the units digit of (a\/(-6))\/(7\/105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189 + 37. Let v = -214 + q. What is the remainder when 55 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2783 + 22217\/8. Find the common denominator of w and 62\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1*(-201)\/((-6633)\/(-66)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31a920a + -5?\nAnswer: -31a9211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2\/13 - 2728*w\/13 - 2726\/13 = 0.\nAnswer: -1363, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2517*t + 1918*t + 11 - 1405*t - 631*t + 4972*t.\nAnswer: 7371*t + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 23. Let v be z(-16). Let w be -6 - -6 - 2\/v. What is the nearest to w in 1, 2\/11, -4\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6241948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18d60 (base 16) to base 15\nAnswer: 2021d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {f: 2, h: 2, y: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 20 = 7*o, 2*p = -3*o + 21. Let s = -2 + 54. Suppose 0 = p*d - 41 - s. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2992584*c**3 - c**2 - 576791*c wrt c?\nAnswer: -17955504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2\/7423193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*s - 23, -2*k - 64*s + 68*s + 2 = 0. Solve 7*z - 4*z = 2*i + 19, i + 3*z - k = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-101885598\nAnswer: -40754239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437 by 6.\nAnswer: -437\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 2*q**2 - 5*q + 6. Let v = 34 + -31. Let a be j(v). Solve a + 2\/7*h**2 - 2\/7*h = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -347, -446, -583, -770, -1019, -1342?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 980, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - m = -24. Suppose -m*j - 2 = -8. Suppose -4*r = 4*i - 24, 2*r + 31 + 2 = j*i. Calculate the smallest common multiple of i and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/588*(-195)\/(-104).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 14*p**2 + 38*p + 93. Determine a(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 137*g**2 + 1609*g - 388. Calculate u(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c + 4. Let r be p(8). Let a = r - -5. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l - 8. Suppose 3*x = 3*g - 2*x + 9, -g + 3*x = 7. Let j(o) = o**2 - 6 + 6*o**2 - 3*o**g - 3*o + o**3. Determine j(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348 divided by -127?\nAnswer: 348\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002312 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 20, -3*k - 3 = -t - 8. Sort -3, k, -0.3, -1\/35 in ascending order.\nAnswer: -3, -0.3, -1\/35, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-26)\/28 + 1)*(-2 + 14). Which is the closest to 2\/5? (a) 0.01 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 22) + (-9 - -9) - -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q + 16*q - 2*q - 4*q + 3*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*s**2 + 4\/3*s**4 + 1\/3*s + 0 - 1\/3*s**3.\nAnswer: s*(s - 1)*(s + 1)*(4*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 72, 246, 526, 918, 1428, 2062, 2826?\n\"Answer: c**3 + 47*c**2 + 26*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:40 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1031, 2077, 3099, 4091, 5047, 5961?\nAnswer: 6827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -78. Let c = d + 68. Which is smaller: -16 or c?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 1367 + 1713. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0 - 10*p - 17 - 20*p. Let x(k) = -2*k**2 + 95*k - 51. Let o be x(47). What are the prime factors of w(o)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -19?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*4\/((-24)\/(-21)). Is (-2510)\/w - (-4)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2839 + 6782. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 7100701572737\nAnswer: -7100701572736.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t = 0. Let n = 2726\/3 + -901. Let s = n - 7. What is the nearest to 4\/11 in s, -0.3, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/366391527 or 1?\nAnswer: -1\/366391527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270838*s**5 - 260675*s**2 wrt s.\nAnswer: 16250280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*g. Suppose 3*w + 3 = 6. Let s = w + g. Is s at most 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 45 = -3*y, q + 2*y = -59 + 89 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 8*f**2 - 4*f - 2. Is d(-8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1096 + 1151 - 3386 + 3*j + 1132.\nAnswer: 3*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -78930761 and -78930760 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h - 4*h)*(-19*h + 64 + 39 - 94).\nAnswer: -19*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - 0.63. Let u = d - -1.93. Are u and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*i - 1 + 5, -2 = i. Suppose x = -v - 3 - 3, -5*v - n*x = 30. Let h(f) = f**2. Let u(k) = 4*k**2 + 2*k. Calculate v*h(s) + u(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.67 - 0.17. Let g = 14.8 - 1.8. Let n = -11 + g. Which is the third smallest value? (a) n (b) t (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 5*v**2\/2 - 7*v - 519. Let w(q) = -q + 1. What is -6*w(i) - y(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*a**3*y**2 + 64*a**3 - a**2 - 64*a*y**3 + 8 wrt y?\nAnswer: 68*a**3*y - 192*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/7)\/((-30)\/42))\/((-3)\/75).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 37*h - 9*h. Suppose -4*s - 3*k + 19 - 5 = 0, -2*s + 12 = 4*k. Let q(g) = s*g + 3 + 0*g - 1. Calculate q(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**2 - 3. Let x be i(3). Let o = -71 - x. Suppose q**5 + 9*q**2 - q + 2*q**2 - o*q**2 + 2*q**4 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (2 + 0)) + 1 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:23 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -1 - (-10 + (-4 - (-10 + -14)))) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*a**2 + a**3 - 248*a + 248*a)*(-2*a**2 - 2*a**2 + a**2).\nAnswer: -3*a**5 - 6*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.240943 - -7.759267. Let n = -9 + z. Round n to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -1.3. Let y = 0 - x. Let w = y - 1. Is w <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 5. Suppose 0 = 7*l - 6 - 15. Let z(s) = -2*s - 12. Let g(r) = r + 6. Let u(i) = 13*g(i) + 6*z(i). What is l*u(j) + 4*m(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 + u**2 + u - 1. Suppose 78*j - 56*j - 22 = 0. Let z(i) = i**3 + 1. What is j*b(y) + z(y)?\nAnswer: -2*y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.130608 to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Let p(n) = -5. Let l(m) = 2*b(m) - p(m). Calculate l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -35. Let r be 4*2*(-10)\/(-8). Suppose 2*y - r = 4*c, -c + 4*y - 20 = -6*c. Solve 4*q = -f - c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0455565+39652.6\nAnswer: 39652.5544435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 4049536.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, 1 v, and 1 g when four letters picked without replacement from ggzkzggkxggvvzz?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 + 24*o + 10. Let m be u(-6). Calculate the greatest common divisor of 598 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 13*l + 35 = -115. Solve 12*v = -l - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in 8, 4, 7, -409?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Let g(q) = 2*q**3 - q**2 + 59. Let t be g(0). Let s = 62 - t. Which is the second smallest value? (a) 1\/5 (b) l (c) s (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -814\/2397 or -1?\nAnswer: -814\/2397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f - 390. Let p = 254 + f. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(102)\/sqrt(6) + sqrt(17))**2 + 4.\nAnswer: 16*sqrt(17) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from hhhccckhccc.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 103203, 103205, 103209, 103215?\n\"Answer: g**2 - g + 103203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -246*h - 137 + 156. Which is the nearest to 0.1? (a) 2\/13 (b) h (c) 2\/735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15794 - -15792. Let f = -8 - -10. Let q be (0 - -1)\/(2\/(-10)). Put q, k, f, -1 in ascending order.\nAnswer: q, k, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 3, -9, -4, 8, 6.\nAnswer: -72, -9, -4, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6580 - -416.\nAnswer: 6996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-30)*(-1)\/(-3). Which is the second biggest value? (a) 0 (b) 2 (c) -2\/15 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4689280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:59 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 1\/4, 3, 72, -6.\nAnswer: -6, 0.02, 1\/4, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -22. Let p = -3 - d. Sort p, -4, -1.\nAnswer: p, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 0*h**4 + 0*h**2 + 2\/9*h**3 - 1\/15*h**5 + 3 - 1\/3*h. Factor z(q).\nAnswer: -(q - 1)**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, w: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.2. Let y = g + -0.2. Let m = 78 - 81. Put 4, y, m in ascending order.\nAnswer: m, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -18. Let g = 57 + v. Calculate the remainder when g is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*126\/4928)\/(1\/4)*4.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/((-2)\/(-8)). Suppose -3*a + 80 - 23 = 0. Suppose -h*z + a = -z. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 10*s + 5 = 13*s, -4*v - 2*s = -18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*m = 470*m - 413651352. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.178 - -0.184. Let p = -8.3 - -8.2882. Let c = p + t. What is c rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((-80)\/(-30)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25325 + -0.106976.\nAnswer: 25324.893024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 11*x - 14. Calculate the smallest common multiple of n(-7) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.512 + -32.488. Let p = 32.8 + h. Let x = 0.2 + -0.3. What is the biggest value in p, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*v, -2*v - 5 = 2*v - i. Sort -5, 15, v in descending order.\nAnswer: 15, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*m - 0*o + 400, 5*o + 303 = 4*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648.68716 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b**4 + b**4 + 3*b**4)*(-5 + 2 + 2) - 2*b**4 - 2*b**4 + 2*b**4 + 167*b**4 + 11355*b - 11355*b as q + x*b**4 + h*b**3 + u*b + v*b**2 and give x.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*x = -106 + 113, -4*x = 3*p + 27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/73931 and 5\/1089.\nAnswer: 665379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61616 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgtz when four letters picked without replacement from tzmzzgzzjm.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 11*y - 4*y - 3*y - 13*y + 5*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1515.9 to the nearest ten.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1900)*-4 + 1 + sqrt(133)\/sqrt(7) + ((sqrt(1216)*2 - sqrt(1216)) + -4)*-1)**2.\nAnswer: -188*sqrt(19) + 41975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 5, -1\/5, 3\/5, -0.4, -48 in increasing order.\nAnswer: -48, -0.4, -1\/5, 3\/5, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - (-2)\/(-5). Let n be (-1 - (s + 0))*-112. Let q be -7*2*6\/(-6). What is the greatest common factor of q and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 1903557\nAnswer: 10\/1903557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 136406600.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 17. Let f(u) = u + 18. Let z(n) = -3*f(n) + 2*g(n). Let d = -335 - -335. Give z(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (4 + sqrt(891) - sqrt(891)) - (sqrt(891) + -3 + 0 + sqrt(891))) + 5)*3)**2.\nAnswer: -3888*sqrt(11) + 33372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 8. Is 25\/(-2)*6\/y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/9 + 184*b**4\/9 - 14902*b**3\/9 + 27204*b**2 - 47952*b = 0. What is b?\nAnswer: -148, 0, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-645)\/(-10)*(-20)\/(-300). Which is greater: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(21\/(-4))*33\/(264\/56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 17*i = -104*i + 786 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -168 * -5182\nAnswer: 870576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 3398*s**3 - 1320300*s**2.\nAnswer: 2*s**2*(s - 326)*(s + 2025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2. Let w(z) = -z + 1. Let r(c) = c**2 + 5*c - 5. Let s(g) = -r(g) - 5*w(g). What is s(o(u))?\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = g - 2*a - 24, 3*a - 4 = -2*g. Let u = g + 10. What are the prime factors of u\/(-4)*(-4)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**3 - 6*d**2 + 4. Let x(p) = 4*p**3 - 6*p**2 + 3. Let k(n) = -883*n - 1770. Let g be k(-2). What is g*x(s) + 3*a(s)?\nAnswer: -4*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -158a?\nAnswer: 157c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3970 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/15 - x**4\/12 - x**3\/3 - 27*x**2. Let k(g) = -g**2 + g + 19 - 19. Let c(w) = -a(w) - 6*k(w). Solve c(r) = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1 + 839*o - o**3 - 2521*o + 839*o + 841*o - 7*o**2. Let y(k) = 3*k + 5. Let c be y(-4). Give x(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.348 - 9.648. Let n be 2*2\/8*2. Let h = 6 - 7. Which is the closest to n? (a) p (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (199712\/1896)\/((-28)\/(-21))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 10*r - 2*r.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**3 - 2*z + 2*z + 0*z**3 - 2*z wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a + 17. Let z be c(6). Which is smaller: -12\/7 or z?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/120 and (270\/(-28) - -3)*(-83)\/20916.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/22913?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.147 - 1.607. What is t rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*c + 52*c + 158530. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351788851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31046 is divided by 270?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22952 divided by -5?\nAnswer: 22952\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 102*s**3 - 4*s**2 - 4*s - 5. Let r be v(4). Let l = r - 32887\/5. Let t = -135 - l. Which is the nearest to 1? (a) -0.3 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 12:32 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 7*p**2 + 6*p - 5. Suppose 5*z = s, -3*z + 5*s = 4*s. Suppose 6*i + 18 = 2*d + 3*i, -2*i - 4 = z. Determine h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/15143616 and 97\/434448?\nAnswer: 106005312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.04678+2\nAnswer: 1.95322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from zhzvhtqmhzqm?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*j - 0 - 10, 0 = -j - 4*x - 2. Let t(p) = p**2. Let a = -7 - -1. Let f(o) = 5*o**2 - 2*o. Let r(b) = a*t(b) + f(b). What is r(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from voibvbvovibjbojiobo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + (188 + -60 - 154)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 670087529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4 - 178*s**3 - 1397*s**2 + 20752*s - 34476 = 0.\nAnswer: -169, -17, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b. Let j(y) = 8*y. Let h = 17 - 5. Let o = -8 + h. Let i(v) = 3*v. Let c(f) = o*j(f) - 11*i(f). Give w(c(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3 - 3) + 3 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -589\/1620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l + 15, -2*l + 92 = -2*c. Let t = -36 - c. Suppose -2*b = b + t, -5*b = -i + 35. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 146 from -3571075180.\nAnswer: -3571075326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 0) + 22 + 1 + -38\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*d**4 + 3*c*d**3 + c*d**2 + 5*c - 1504*d**4 + 12*d**2 + 26 wrt d.\nAnswer: -48*c*d + 18*c - 36096*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -618 - 625 - 71*i + 1243 to the form n*i + o and give n.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 9*a - 8*a + 17, -4*u = -3*a - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-17)\/(d**(-7)\/d**(-7)))\/((d**(-1))**(1\/4)\/(d**1*d)**27) assuming d is positive.\nAnswer: d**(285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + 18*b - 7*b to the form o + u*b and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1678*z + 9 + 3382*z - 1707*z. Let s(h) = 2*h - 11. Let g(m) = m - 6. Let n(u) = 5*g(u) - 3*s(u). What is -3*k(t) + 8*n(t)?\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*f = -3586 - 9847 - 6272 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.8 (b) 0.7 (c) -2\/9 (d) 18 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + 699 + 154 + 23*r**2 - 23*r**2 + r**3 as y + g*r**3 + h*r + d*r**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(65) + 3*sqrt(65)*-6 + (-5*sqrt(65)*-3 - sqrt(65) - sqrt(65)))\/((sqrt(5445)*2 - sqrt(5445))\/(sqrt(27)\/sqrt(48))).\nAnswer: -3 - sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 8. Let p be w(6). Let s be 2\/(-4) + (-5)\/p. Is 5 a factor of s + -1 - (-10 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 282741766.8 to the nearest 100000.\nAnswer: 282700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116.125 - -116. Let d = n - -0.124971. Round d to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-3)*6\/(-14). Let t be 7\/2 + (-2 + 22)\/(-4). Which is the nearest to 1? (a) k (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -876*k + 872*k - 4*y - 12, k - 3 = 5*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + 5*c**2 - 2*c. Suppose -10*b - 3 = -11*b, 2*a - 5*b + 5 = 0. Let i(h) = 3*h**3 + 8*h**2 - 3*h. Calculate a*i(z) - 8*q(z).\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3.6, 1 in descending order.\nAnswer: 5, 1, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + (sqrt(65) - (sqrt(65) + (sqrt(65) - 2*sqrt(65) - sqrt(65)))))*-6*-1*-2)\/((-5*sqrt(15)\/sqrt(3) + (sqrt(605)*2 - sqrt(605)))*6).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 1:51 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 0 + 0 + 2*w - 3*w + 2*w + (1 - 1 + 2*w)*(-2 - 1 + 5) - 2*w + 1 - 1 - 126*w + 93*w - 143*w - 1.\nAnswer: -174*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164*g**2 + 158*g wrt g.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y + 11*y - 10*y**2)*(-6 + 5*y - 4*y - 2) + 2*y**3 - y**2 + y**2.\nAnswer: -8*y**3 + 80*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31619.223 nanoseconds to hours.\nAnswer: 0.0000000087831175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.325444135 + -2.\nAnswer: -2.325444135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 13. Suppose -2*i + 4*v = 6, z = -2*i + 2*v - v. Let m = 97 + -99. Let w(s) = -s**2 - 2*s. Let f(h) = 3*h**2 + 7*h. What is i*w(t) + m*f(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -1 + 3 + 0. Let k be (-33)\/8 + 4 + (6237\/88)\/7. Solve -k = -4*d + t*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2211328 and 4?\nAnswer: 8845312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 6 - 2 - 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*p**2 + 6 + 0 - 6 + 102*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10055 + -2?\nAnswer: 10053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -320, 5, -678, -0.5, 2?\nAnswer: -678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 17, e: 2}. What is prob of picking 2 d and 1 e?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.75505 micrograms in kilograms?\nAnswer: 0.00000008375505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -4. Let l(v) = v**3 + 4*v**2 - 5*v + 1. Let x(t) = -4*t**3 - 11*t**2 + 14*t - 2. Let o(a) = 7*l(a) + 2*x(a). What is o(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/165 and 38\/121?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 12) to base 5.\nAnswer: -1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 19*n - 22. Let f be w(-16). Suppose -s + 3*i = -2*s + 42, 4*i + 113 = 3*s. Calculate the greatest common divisor of s and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 8, x + 2*x + 6 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466490969 to the power of 1\/3, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*g - 16*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, -28, 14, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from dtggdtdggg?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 2*a + 15 = 0. Suppose 10*c - 8*c - 105 = -a*o, -2*c = o - 115. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 43*p**2 - p. Let j be i(1). Let k = 61 - j. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**4 + 66688*g**3 - 277354744*g**2 - 5008602240*g - 22563044100 = 0.\nAnswer: -9, 8345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/388 and 6.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714608?\nAnswer: 2, 59, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454 = -114*w + 11212 + 2128 for w.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3960770 divided by 72014?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -108408673.1 rounded to the nearest one thousand?\nAnswer: -108409000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.058 (b) 2 (c) -1 (d) 0 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -5) + (-2 + 10 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*f - 2958 = 27*f - 322*f + 552 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1\/5 (c) 14 (d) 0.4 (e) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1951*d - 8*r = -1931*d - 60, 0 = -2*d + 4*r + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 35\/2 + -14*48\/(-448)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/15*5\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2253498 divided by -6513?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 858*q - 20743. Calculate m(23).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/13, 0.2, -0.4, 2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1510.9332\nAnswer: 7554.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4a4b4 (base 13) to base 7\nAnswer: 1110345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32487537 + 0.235399.\nAnswer: 32487537.235399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*q - 126781 + 126541 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13674.3768 to the nearest 100.\nAnswer: -13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 180 = 13*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 393986 or 393983?\nAnswer: 393983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 23*m**6\/120 - 5*m**4\/24 - 5*m**2. What is the second derivative of g(f) wrt f?\nAnswer: 138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 8\/7, -0.2, -3\/4 in increasing order.\nAnswer: -177, -3\/4, -0.2, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 12:46 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -10\/91 (b) 0.5 (c) 0.3 (d) -4 (e) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etgeefaaefeefttetef. Give prob of picking 3 t.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - sqrt(200)*-2)\/sqrt(8) + 2*sqrt(3025))\/(sqrt(405)*-1 + sqrt(405) + sqrt(5) - -1*sqrt(5)*1).\nAnswer: 25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 42*z**2 - 209*z - 131. Let m be o(5). Let y be ((-8)\/9678)\/(2\/3). Is y > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -3*s + 3*d, -4*s + 71*d + 72*d - 146*d = 75 + 59 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -763562847366198?\nAnswer: -763562847366197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.63461 rounded to one dp?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4 - 43232*f**3 + 734084*f**2 - 3194488*f + 3798432 = 0 for f.\nAnswer: 2, 4, 11, 10791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 + 459. Let p = s + -1. Suppose p = 11*x - 6*x. Calculate the greatest common factor of x and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106737218 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7579*k**3 - 29075*k**2 wrt k?\nAnswer: 45474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1890\/233 + 1828459\/226476. Calculate the common denominator of 85\/324 and z.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-517)\/(-231) + (-4)\/7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 9 = h - 5*h, -12 = -2*h + 2*y. Let d = -6 + 14. Suppose -9*s = -0*s + d*s. Put s, h, -0.4 in ascending order.\nAnswer: -0.4, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304541*c**3 - 622940*c**3 + 318412*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 + 17*r + 31. Let t(c) = 4*c**2 + 2 - c - 2*c - 5. Calculate the remainder when t(3) is divided by s(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4014 + 3832 = 31*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-6)*f**(13\/5)*f**(1\/5)\/f**(-4) assuming f is positive.\nAnswer: f**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 23. Let b be v(10). Suppose b*y - 7*y - 160 = 0. What is the remainder when 75 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 20349.\nAnswer: 20349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.109 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:08 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 322\/(-36) - (-8)\/(-144) - -10. Which is greater: 67\/233 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39453 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -2 - 16\/(-4). Let w = i + -5. Suppose -3*m - 4*g = -g + 3, -5*m - g - 5 = 0. Sort -5, m, w in descending order.\nAnswer: w, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137337?\nAnswer: 3, 45779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37839, 32669, 27497, 22323?\nAnswer: 17147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 588 + -390. Let b(t) = -t + 32. Let v be b(10). Calculate the greatest common divisor of v and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o\/(o**(13\/2)*o))\/o)*o**(-13))\/(o**(-1\/7)\/(o**5\/o)) assuming o is positive.\nAnswer: o**(9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1102, 1448, 1794, 2140?\n\"Answer: 346*v + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 7) + 6 + (-13 - (4 - 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11889?\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(20\/149944))\/(-6 - -4). Let g = j - 10089. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2987233027?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Suppose -4*p = p - 3*l - 58, -4*l - 4 = 0. Let h = -15 + p. Give g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 1\/8 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (0 + (2 - 13)). Let y(c) = 3*c - 2. Let p be y(4). Let x = p - v. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a7180 (base 14) to base 7\nAnswer: -3300620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7797 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4819 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: How many litres are there in 3577.358 millilitres?\nAnswer: 3.577358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18296868101 - 0.1.\nAnswer: -18296868101.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zppptpzpt. What is prob of picking 1 z and 2 t?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.4. Let q = 4 + -6. What is the closest to 1\/4 in -0.1, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/11 + 216*h**2\/11 - 8*h\/11 - 864\/11.\nAnswer: 2*(h - 2)*(h + 2)*(h + 108)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 5*k + 2*k - 3*k + k + 0*k + 5*k - 4*k + 0*k + (k - 4*k + k)*(0 + 4 - 5) + 2*k - 1 + 1 + 3*k + k - 2*k as r + l*k and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from ujuccuuucujjcjccc.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 - 104\/(-40). Let u(r) = 842*r - 23. Is u(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 2*t**3 - 4*t**3)*(8 - 14 + 2) + 14*t**3 - 121 + 121.\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 0.5 (c) 0 (d) 1\/3 (e) -402 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2) + (-35)\/14. List the prime factors of (-16 + 110)\/(-1*r\/2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.01, 0, -7\/9, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1071980 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 62*v**2 - 101*v - 486. Calculate l(-63).\nAnswer: 1908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o**3\/4 + 2045033*o**2\/4 - 5331876*o + 2191185 = 0.\nAnswer: -292158, 3\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o + 5 = 4*v, 4*o = 2*v - 22. Suppose l - 356 = v*g, -3*l = -2*g - g - 1128. What are the prime factors of l?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.389321249 and 11.\nAnswer: 12.389321249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 23*z**2 + z. Let b be 0 + (-3)\/(0 - 3). What is the units digit of x(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -159577\nAnswer: 5\/159577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -13. Let k(n) = -n**3 - 9*n**2 + 10*n + 3. Let b be k(a). Suppose 5*f - m = -30, 5 = -3*m + 20. Put b, f, 1 in decreasing order.\nAnswer: b, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*h + 6*h + 15*h - 225*h**3 - 5*h**2 + 10*h + 2*h + 2 to the form a*h + w*h**2 + t*h**3 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20565*s - 3742707. Calculate k(182).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-832)\/(-16))*-4*63\/(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -425.72 + -231.27. What is x rounded to the nearest 10?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -111. What is the remainder when (-1 - j\/2)\/((-12)\/(-24)) is divided by 0\/(-2) - 16\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(13\/((-13)\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 74*d**2 - 5539*d + 2290. Calculate a(120).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593, -716, -919, -1202, -1565, -2008?\nAnswer: -2531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022011122 (base 3) in base 11?\nAnswer: -586a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/28)\/(3\/8). Let p(c) be the second derivative of c**j + c + 0 + 0*c**4 + 0*c**3 - 1\/10*c**5. Differentiate p(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -33. Let x = o + 20. Are x and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/8)\/(5\/(-4)). Let d = -0.74 - -0.54. Which is the nearest to 0.1? (a) u (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 36. Let k(u) = -u + 1. Let v(h) = 3*k(h) - n(h). Let x be v(-11). Suppose x = -5*i + i + 384. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5\/3)\/r**(-12))\/((r*r\/r**(19\/5)*r)\/(r*(r\/(r*r\/(r*r**21)*r))\/r)))**(-1\/8) assuming r is positive.\nAnswer: r**(-467\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**4\/12 + 2*l**3\/3 - l**2\/2 + 197*l. Suppose 2 = 2*h + 6. Calculate s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -9*q - 4*s - 32, 19 = q - 3*s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 9. Let d = -56 - -62. Let g be w(d). Let a be 1\/((-22)\/(-7) - g) + -3. Solve -a*i - 18 = -9*i - c, 0 = -5*i + 5*c + 30 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11 greater than -3258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 233 = -4*l, -5*l + l - 2*t - 238 = 0. Suppose -64*s + 9289 = 520 - 1535. Let z = s - l. List the prime factors of z.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 14*s**2 + 31*s + 133. Calculate the remainder when g(-12) is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:25 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (-4 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 - 47. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/7 + (-26)\/91. Let i(j) be the third derivative of -9*j - j**2 - 1\/120*j**6 + 0 + 0*j**3 + 1\/24*j**4 + 1\/20*j**5. Determine i(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12308124 is divided by 182?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*n + g, -n + 4*g = -0*g + 8. Let h be (2\/1)\/(n\/(-20)). Let b(r) = r**2 + 2. Calculate the lowest common multiple of 33 and b(h).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -205*q + 2. Let w(c) be the first derivative of -c**4\/24 - 239*c**2\/2 - 176. Let b(o) be the second derivative of w(o). Give z(b(t)).\nAnswer: 205*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.7+11.84126\nAnswer: 10.14126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = -9. Suppose 0 = 2*a - c - 11. Calculate the highest common factor of 56 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.07, 0.1, -4, -22.9?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/2 - 2*u**3 + 5*u**2\/2 - u.\nAnswer: u*(u - 2)*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/2)*d)\/d)**(-12\/7)*(d**(-1\/4))**(3\/23) assuming d is positive.\nAnswer: d**(-573\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {t: 18, x: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(-2)\/(-8))\/(108\/288)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 148*h + 1480. Let a be b(-10). What is the third smallest value in a, -1, 12.26?\nAnswer: 12.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/13)\/(r\/r**(-2\/53))*(r*r\/(r*r**(-1\/2)))**3 assuming r is positive.\nAnswer: r**(5195\/1378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/182 and -85\/286?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.71 - 0.81. Let p = 1\/157 + -329\/2355. Which is the closest to i? (a) 9\/2 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2008 (base 12) to base 15\nAnswer: 105e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 124 - 284 - 258 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a + 90 = 3*m, 5*a + 111 = 3*m. Is 14\/a*3\/4*-898 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kck when three letters picked without replacement from kkkkkkkckkcckcckkkk.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -7037 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (101 - 93)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -q + 5*j - 14, 0 = -5*j - 30. Suppose 5 = -z - 1. Let v(t) = t**2 + 5*t - 4. Let p be v(z). Sort -4, q, p in decreasing order.\nAnswer: p, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224) - (sqrt(224) + sqrt(224)*-1)*-6 - (sqrt(224) - 3*(-1*sqrt(224) - sqrt(224))))\/(sqrt(200) + -1*sqrt(200)*2 - -2*sqrt(200)*2).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + -6 - ((-5 - (-14 - -16)) + -1).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68355608 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.67562 + 0.11133. What is x rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*m**3 + 48 - 35*m**3 - 7.\nAnswer: 12*m**3 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*d - 31 = -3, 0 = 5*d + 5. Suppose 0 = 23*f - v*f + 12. Let r(z) = -f*z - 4*z + 21*z - 10*z. Let b(w) = 14*w**2. Give b(r(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574 is divided by 641?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*d**3 + 24*d**2 + 57*d + 6.\nAnswer: -3*(d - 2)*(d + 1)*(9*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94591*u - 119923.\nAnswer: 94591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761631 is divided by 607?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -99113*s - 522587 wrt s?\nAnswer: -99113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 4, -0.09, 346, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from oedjeyjy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2. Let f(n) = 15*n - 51. Determine f(x(t)).\nAnswer: -30*t**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 88.1. Let z = h + 8. Which is the closest to z? (a) -0.2 (b) -1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1389 (b) -5 (c) 91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 l when three letters picked without replacement from kauggmgllmm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*b + 237 = -63, 5*n - 517 = -b. What is the greatest common factor of n and 1092?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 626*f**2 + 469*f - 2360. What are the prime factors of x(5)?\nAnswer: 5, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*6\/(-42) + (-9)\/(45\/(-25)). Factor 0*u**2 - 3\/5*u**t + 0 + 0*u**3 + 1\/5*u**5 + 0*u.\nAnswer: u**4*(u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95752?\nAnswer: 2, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (23 - -30) + -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772578631.\nAnswer: 11, 157, 447353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j. Suppose -3*u + j*u = -36. What is the tens digit of 208\/u - 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16535.1 - -17465. Let i = p + -891. Let h = i - 39. What is the closest to h in 1\/2, 4, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*t**2 - 217537*t + 1764 + 6*t**4 + 216004*t - 3*t**4 - 63*t**3 = 0.\nAnswer: 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 55.69252kg?\nAnswer: 55692520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 - 10*j + 9*j + j**3 - j**2 - 8*j**4 + 2 to p*j + g + t*j**2 + r*j**3 + d*j**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -253?\nAnswer: -6\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (171 - 2*w - 171)*(2 + 1 - 4)*(2 - 1 - 3) as u + q*w and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-3)\/((-297)\/(-3))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405815.2 days in milliseconds?\nAnswer: 35062433280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**13*p)\/p*p**2*p)**9)**(2\/45) assuming p is positive.\nAnswer: p**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 23*f**2 + f - 4*f + 3*f + 158*f**2 + 2. Let w(u) = u**2. Determine p(w(r)).\nAnswer: 181*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 218. Let r be u(33). Calculate the highest common divisor of r and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166.52 rounded to the nearest ten?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 14 - 5) + -13 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 143508253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:14 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90984, -90982, -90980, -90978, -90976?\nAnswer: -90974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 3*p + 3. Let z be k(2). Suppose 0 = 73*x + 7 - 1978. Suppose -48 - x = -z*m. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4\/7 (b) -95 (c) -1 (d) 0.2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 - 279. Let h = j - 16. Solve 5*c = h*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -1\/20*h**5 - 1\/2*h**3 + 1\/2*h**2 + 5\/12*h**4 - 2*h + 0. Determine a(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30920 + -30873. What is the remainder when 8458 is divided by s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z**3 - z**2 + z. List the prime factors of q(-2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2555548 and 44722090?\nAnswer: 89444180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:39 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -38?\nAnswer: 13\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 9*z**2 + 8*z + 5. Let u be g(-8). Suppose -f - 4 = -3*r + 4*f, u = 5*f. List the prime factors of (r - 6)*11\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204799?\nAnswer: 7, 17, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x + 4*g - 68, 3*x - g = 109. Suppose -3*q - q = -x. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4\/3 - 3088*j**3\/3 + 54934*j**2\/3 + 3088*j\/3 - 18312 = 0.\nAnswer: -1, 1, 18, 1526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 28*b**2 - 58*b + 68. Let c be i(-30). Solve 5*h - 4*l + 40 = 0, 2*h + c = -l + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -54. Calculate the smallest common multiple of p and 7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19986.\nAnswer: 2, 3, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((-16)\/(-360)*27). Solve -2*p - 6 = 0, b*w - 2*w = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 1. Let h be m(-4). Let t be h*1\/((-10)\/(-16)). Let c = -1 + t. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.216 + -178.184. What is c rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138232 - 82012. What is n rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -891*f + 402*f + f**2 + 489*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 10 = 5*u, -1288*u + 2*o + 8 = -1284*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*d**5 + 19567*d**4 - 231*d**2 + 3834.\nAnswer: 1020*d**2 + 469608*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4\/3 + 676*n**3\/3 - 2660*n**2\/3 + 3308*n\/3 - 440 = 0. What is n?\nAnswer: 1, 2, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182571 rounded to four dps?\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 - 1. Let s be o(1). Solve p + p - s = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 22*y. Let x(r) = -3*r + 3. Let w(u) = -23*u + 24. Let i(h) = 3*w(h) - 24*x(h). Give z(i(g)).\nAnswer: 18*g**2 - 66*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(-3*sqrt(10)) + 1)**2.\nAnswer: -2*sqrt(17)\/3 + 26\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1614 = 20*v - 23*v. What is v rounded to the nearest ten?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 3092*b + 92727. What is m(30)?\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 352 + -352. What is the closest to 1\/2 in 6, b, -2, -11\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - (17 + 32) - 17) + -2 + 2\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 10:24 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*c**5 - 2860*c**4 - 4005*c**3 + 4160*c**2 + 255*c - 490 = 0. What is c?\nAnswer: -2, -1\/3, 1\/2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*x + 32, -5*x + 2 = -3. Suppose 0*f = -6*f + z. Suppose -826 = f*g - 13*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t + 236. What is d(29)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*-3 + (6 - 9). Let s be 30\/12 - (-3 + v\/(-6)). Solve 0 = -6*i + s*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3987473537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 m when four letters picked without replacement from ememmmeemm.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.6 from 4.62.\nAnswer: -5.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*t + 80, -2*t = u - 6 - 10. What is the second biggest value in 1\/4, -0.5, -4, u, 0.12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/20*(-2)\/17. Are i and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246892?\nAnswer: 2, 41, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.5 minus 0.3?\nAnswer: -408.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7239945991 to the power of 1\/3, to the nearest integer?\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/36)\/(1\/(-3))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58243 or 58265?\nAnswer: 58265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-45))\/(5\/(-114))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 9 = 8*u - 11*u, 4*u - 2*t + 10 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = -4*q - 0*u, -q - 2*u - 4 = 0. Sort -1, q, 47, -2 in decreasing order.\nAnswer: 47, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**2 + 2*v - 13. Let m be n(-9). Suppose m = -2*c + 2305. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -5*p + 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*o**2 - 148*o**2 + 21 + 342*o**3 - 21 wrt o.\nAnswer: 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5775 and 6.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.08\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1527 - 817. Calculate the common denominator of -4\/33 and (d\/(-198))\/5*3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-78)\/(36270\/255)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*j + 26*j - 12*j to x + h*j and give h.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**6\/30 + 8*j**5\/25 - 7*j**4\/20 + 41. Determine t, given that r(t) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 take away -0.0435?\nAnswer: -0.0865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**4)*y**(3\/2))\/((y\/(y*y**(1\/7)))\/y)**(9\/11) assuming y is positive.\nAnswer: y**(991\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -96. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52\/125 - -2\/125. Which is the fourth biggest value? (a) 6\/11 (b) 1 (c) -2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 51304.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*o - 624 = 722, -2*a + o + 898 = 0. Let v = 119 + a. List the prime factors of v.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -149*p + 12. List the prime factors of f(-2).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 8898*d - 30 - 55.\nAnswer: 8898*d - 330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -110010100000100011110100?\nAnswer: 110010100000100011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4763, -9887, -15011, -20135?\n\"Answer: -5124*z + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*q - 5, 1 = i + 4*q - 16. Let d be 1\/(1\/(-3)) - i. Suppose -3*v = 2*t, -3*t - 5 = -v + 3*v. Sort 0, t, d in ascending order.\nAnswer: d, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*p**3 - 6*p**2 + 11*p + 3386.\nAnswer: -27*p**2 - 12*p + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 10. Suppose -j - 161 = -0*c - 3*c, b*j - 4*c = -750. Let p = j + 2331\/16. Do 0 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24758, 86625, 189738, 334097, 519702?\n\"Answer: 20623*w**2 - 2*w + 4137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b2 + -3?\nAnswer: 5ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039860831 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/5)\/(96\/42880)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((0 - -2)\/6). Suppose -5*y + 42 = -p*r, 2*y - 3 - 1 = -2*r. Solve 3*b - 2*b = c + 2, 0 = 2*b + y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 26. Let t be l(-9). Let y(q) = 1. Let m(j) = -j**3 + 3*j - 106. Let b(g) = t*y(g) + m(g). Find the first derivative of b(x) wrt x.\nAnswer: -3*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - n - 7. Let r(o) = -o**3 - 5*o**2 - 8. Let x(a) = -a**3 - 3*a**2 - 4. Let i(c) = 3*r(c) - 5*x(c). Give 3*g(f) - 5*i(f).\nAnswer: -f**3 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5)**(-9\/4) assuming a is positive.\nAnswer: a**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 17*b**2 + 13*b + 41. Let z be g(-11). Calculate the greatest common factor of z and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8 + 15*i - 28 + 31*i + 180. Is 13 a factor of h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + -2 + (11 - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7917*a + a**2 - 7911*a + 0*a**2.\nAnswer: a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -2*i + 21. Let v = -313 - -345. What is the greatest common factor of v and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 p when three letters picked without replacement from {v: 9, p: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**5\/120 + 5*c**4\/72 + 2*c**3\/9 + c**2\/3 + 8*c - 33. Factor r(d).\nAnswer: (d + 1)*(d + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502427 is divided by 4245.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 4, f: 8, q: 2, k: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/8 + 7060*m**2 - 787176437*m\/8 - 146203336621\/4.\nAnswer: -(m - 28421)**2*(m + 362)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(825\/(-22))\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 2, v: 2, l: 2, s: 8}. Give prob of picking 1 s and 1 l.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(102)\/sqrt(24) + 2 + 5*sqrt(34)\/sqrt(50)).\nAnswer: -3*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h - 2 = 5*b, h = -3*b - 2. Let o be (6 - b)*68\/51. Suppose 7*w - 5*w - o = 0. Solve -5*i + 2*x - 4 = w*x, -x = -3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 8*v + 4 = 0. Sort -1\/13, -1\/3, v, 4 in increasing order.\nAnswer: v, -1\/3, -1\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -483722905803619\/26994 + 17919645317. Let t = v - 2\/1227. Calculate the common denominator of t and -109\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/10 + 4\/(-10). Let h(n) be the first derivative of -n**4\/2 - 8*n**3\/3 - 3*n**2\/2 - 3*n - 32. Let j be h(-4). Solve j = -y - k*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.5, -1, 0, -3\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoooyo. What is prob of picking 1 y and 2 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 630485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 519146474 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 4 + 3*j + 2*j - 46*j - 23*j + 16*j + 3.\nAnswer: -51*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*u + 56 = 910*u - 1820*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 11*z**2\/2 - 92*z + 7339. What is x(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2. Let a(z) = -z + 1. Let j(o) = 4*o - 3. Let n(c) = 2*a(c) + j(c). Give h(n(u)).\nAnswer: 4*u**2 - 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n)**(-3\/35)\/(n\/n**(1\/3))**(-15) assuming n is positive.\nAnswer: n**(353\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 2, -4, 996.411?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 13*i + 5370. What are the prime factors of i?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 18*r - 28. Let f be s(-14). Let i = 87 + f. Solve -3*a + i = -d + 5, d - 5*a = 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 151, 308, 491, 700, 935, 1196?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + l - 2*l)*(-6 + 4 + 1)*(-2 - 5 + 6).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*r**2 - 24 - 41*r**2 - 18*r + 117*r**2 - 41*r**2 = 0. What is r?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-5 - (-31)\/6)*-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-1 + 6) - 15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130675.\nAnswer: 5, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204005656 minus 0.5?\nAnswer: -1204005656.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -353*a + 4743*a + 3477*a + 186*a in the form t + u*a and give u.\nAnswer: 8053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -18*l - 88. Which is the nearest to 2? (a) -2\/11 (b) 4 (c) l (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156379.\nAnswer: 353, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -12. Calculate the remainder when 26 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + g)*(-6 + 2 + 0) - 4*g + 0*g + 2*g + (-2 + 0 + 3)*(-1 + 1 - g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 24594, 1\/11, 2, 3, 123 in increasing order.\nAnswer: 1\/11, 2, 3, 123, 24594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)*l)\/((l*((l\/(l\/l**(1\/10))*l*l)\/l)\/l)\/l)*((l**(-1)*l)\/l)**(-32) assuming l is positive.\nAnswer: l**(333\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -175\/3. What is the nearest to 0 in i, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*a + 8*a - 2926 = 0 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -6, p - 37 = -4*k - 43 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:39 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q**3 + q - 2. Let o be l(1). Solve -2*u - 25 = 3*u - 2*t, 3*u + o = 5*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6b380 (base 12) to base 4\nAnswer: 203021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19*(-20)\/(-1710))\/(22\/(-9))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 18. Let l = 12 - z. Let b(g) = g - 11. Let x be b(l). Solve x*u - 11 = -1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(1 - 1 - 3)*(421*g + 75*g - 147*g)*(-2 - 1 + 2).\nAnswer: -2094*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 1, u: 1, c: 1, s: 1, r: 2}. Give prob of picking 1 s, 2 r, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*c + 8 - 3, -5*c = 5. Let q(b) be the second derivative of -3\/2*b**2 + 8*b + 1\/12*b**f - 1\/2*b**3 + 0. What is q(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(108))*5)**2.\nAnswer: 1200*sqrt(3) + 3100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkzz when four letters picked without replacement from zzzzzzzzzzkzzzzzzz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*f**3 + 118*f - f**2 + 236*f**3 - 78*f.\nAnswer: -12*f**3 - f**2 + 40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - (24 - 69)) + -31.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*c + 6)*(3*c**4 - 2 + 2) + (8*c**4 - 8*c**4 - 19*c**5)*(1 + 5 - 5).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 3, d: 4, g: 4, l: 3, u: 1}. What is prob of picking 1 q and 1 d?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-27)\/(-222)) - (-4)\/18. Let w be y\/(-18) + (-960)\/(-270). What is the greatest common factor of w and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -257718.5 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -1 + 5 + 1*((1 + sqrt(3))*-6 + sqrt(3)))*-2*1.\nAnswer: -4*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26541.19957 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 17*t**5\/60 + 19*t**4\/24 + 29*t**3\/3 + 26. Let g(n) be the third derivative of x(n). Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075593 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**3\/3 + 13*o**2\/2 - 33*o - 2. Let l be p(-11). Let c(i) = 215*i**3. Let q(v) = -8*v**3. Calculate l*q(m) - 2*c(m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 15650*q = 15652*q - 8, 23 = -5*l - 4*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/77 + 617\/4620. Let k(w) be the third derivative of 0 + 1\/150*w**5 + 2*w**2 - y*w**4 + 0*w**3 + 0*w. Factor k(l).\nAnswer: 2*l*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*q - 18, 2*q - 18 = -3*h - 2. Suppose -2*v = b - 11, 0 = 4*b + v + h*v - 35. Solve -4*y - 26 = -7*y - b*w, 2*w - 14 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.871 rounded to 1 decimal place?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -314.4974 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/13 - 19\/52. Let k be 3 + 4 + -2 - 4. Is x bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -5 - 0) + 4 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1767753 or -1767752?\nAnswer: -1767753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 12*r + 3*r. List the prime factors of (r - (-95 + -2)) + 0\/2.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, i: 12}. Give prob of picking 3 f and 1 i.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68788*t + 68731*t - 57 = 0. Let a = -0.4 - -0.3. Let w = a - -0.12. What is the closest to 2\/3 in t, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2880 and 2883 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -32694981 + -35135\nAnswer: -32730116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 - ((-475)\/3)\/25. Factor 32\/3*k**2 + 14\/3*k**3 + p*k + 4\/3.\nAnswer: 2*(k + 1)**2*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50875, -407022, -1373703, -3256186, -6359739, -10989630, -17451127, -26049498?\n\"Answer: -50878*y**3 + y**2 - 4*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184\/1012 - 1147116\/(-44)?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-57 - ((0 - 14) + -112 + 126)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1303*b + 10365. What are the prime factors of r(54)?\nAnswer: 3, 71, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 3\/12 - (-47)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from dvvvvvdv?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1422*p*t**5 + 5*p*t**3 - 30*p*t**2 - 187*t wrt t.\nAnswer: -85320*p*t**2 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6)\/g*g**(1\/2)*g)\/(g**(-3)*g\/((g**(-1\/4)*g)\/g)*g)*g*g*((g*g**(-6)\/g)\/g)\/g*g**4*(g**2*g*g)**(3\/7) assuming g is positive.\nAnswer: g**(67\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4242, -8473, -12696, -16905, -21094, -25257, -29388?\n\"Answer: p**3 - 2*p**2 - 4232*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/8*(-519)\/2595.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12278473 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {l: 12, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*c = 2*c - 1316, 0 = -3*s + 2*c + 789. What are the prime factors of s?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 2574975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n)**(7\/3))**(-3\/19)*(n*(n**(-2\/11)*n)\/n)\/(n\/(n*n**(-2\/13)))*n**(2\/11)*n\/(n*n**(1\/2)*n) assuming n is positive.\nAnswer: n**(-687\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6450 and 2?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121351.1 kilometers in micrometers?\nAnswer: 121351100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 + 136423*l**2 - 1773330*l = 0.\nAnswer: 0, 13, 136410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18418 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43022?\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 218882610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 247257255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -17 + (6 - 0) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-92)\/(-6))\/((-38)\/(-570)). What is the highest common factor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 12. Let m be j(9). Let x = m + -5. Suppose 0 = 2*c - 4*f, 2*c = 4*c - 5*f + 1. What is the lowest common multiple of x and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -32 - -26 - -666*13.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 - 10. Let f(a) = 16*a**2. Determine u(f(n)).\nAnswer: -1024*n**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(18)\/sqrt(9)))**2 - (sqrt(7) - sqrt(5929)\/sqrt(7)).\nAnswer: 7 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*v = -2*v - 29, -4*n + 16 = 4*v. Suppose n - 2 = d. Suppose -2*i + 0 + 4 = 0. Solve -i*j - 11 = 3*b, -2*b - 11 = d*j - 3*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1404, 1616, 1962, 2442?\n\"Answer: 67*a**2 + 11*a + 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(1\/7)*n)\/n*n\/n**18)**(-28) assuming n is positive.\nAnswer: n**444","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 219*i**2 - 4 + 5*i + 7 - 219*i**2 - 2*i**4 + 2*i**3 + 0 as a*i**4 + t*i + z*i**3 + q*i**2 + c and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 35. Calculate the remainder when -3 - -3 - (-25 - 1) is divided by k(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-948)\/(-14) - 10\/(-35). Let x be 4\/14 - m\/(-56). Suppose -3*s = s + 8. Which is the nearest to s? (a) x (b) -1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 3*r**2 + 4*r - 2. Let f be b(3). Let l be 5\/(f\/8) + 0. Suppose 32 - 4 = l*x - 5*o, -2*x + 14 = -5*o. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 8) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3655, -3523, -3391?\nAnswer: -3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -29*l**4 - 27*l - 9*l**2 - 10*l**4 + 3*l**3 + 40*l**4 = 0. Calculate l.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18)*u)**32 assuming u is positive.\nAnswer: u**(-544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 440, 878, 1316?\n\"Answer: 438*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.112 + 10.988. Let x = j - 11. Let s = -5 + 4.7. Is s != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -583*n**3 - 1214 - 736*n**3 - n - 456*n**3 + n with respect to n.\nAnswer: -5325*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 2, 4, 301.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {g: 1, y: 1, n: 1, d: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1399, -5, -4, -872?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1539) + -1)*6 - (1*sqrt(1539) + 1))**2 - (-3*(sqrt(1539) + 1 - sqrt(1539)) + sqrt(1539) - 2*sqrt(1539)*5)) + -2.\nAnswer: -549*sqrt(19) + 38525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 50*n - 85. What are the prime factors of q(3)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.28841 decades in centuries?\nAnswer: 5.828841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1442505 - 5?\nAnswer: 1442500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 45*l = -1582699. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-9))\/(3\/((-108)\/8)). Factor 1\/5*o - 2\/5*o**2 - 1\/5*o**s + 2\/5*o**4 + 0.\nAnswer: o*(o - 1)*(o + 1)*(2*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -669373 by -443.\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {l: 3, p: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821686 less than 6821698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + i = -12 - 7, 0 = 4*x - 4*i - 36. Solve x*y = -3*p + 15 - 0, -3*y = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -369*f**3 - 3*f**2 - 2*f - 4. Let c(j) = -j + 14. Let h be c(11). Let l be i(h). What is l rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 11:42 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/10 + (-4)\/10. Let z(n) = n + 3. Let u(d) = d - 1. Let r = 469 + -473. Let t(c) = k*z(c) + r*u(c). What is t(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67 in 0.13, 2, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:49 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**2 - 2 - 3*y + 8 - 3 - 5. Let k = 418 + -419. Calculate l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8020567?\nAnswer: 8020567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {q: 2, l: 3, r: 1, a: 1, c: 3, u: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446757 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 317\/16 - 2077\/144. Calculate the common denominator of m and -55\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ed (base 16) to base 3.\nAnswer: -22210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*c - 3*o + 15 = 72*c, -5*c - 35 = -7*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**2 + 4*t + 9. Let q(n) = n**2 + n + 1. What is 3*q(v) - x(v)?\nAnswer: -6*v**2 - v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**3 - 79*b**2 + 49*b + 114075 wrt b.\nAnswer: -9*b**2 - 158*b + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/167, 1\/6, -1, 45, 190?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:05 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291487740 divided by -76.\nAnswer: 3835365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 36*k = 8*i - 47*k + 226, 6*i + 337 = -k for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (60\/1610)\/(39\/598)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0888434898 to five dps.\nAnswer: 0.08884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-160))\/((-6)\/(-4))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h + 65 - 464. What is the remainder when h is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 697, 633, 567, 499, 429?\n\"Answer: -q**2 - 61*q + 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-4)\/(8\/42). Let m = -33 - w. Let u = 37 - m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1770.00001638 - 1770. Round w to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 + 46. Let l = n + 50. List the prime factors of (-3 + (-180)\/l)*7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.13 + -651.87. Let v = 666.283 + p. Let j = v - 0.27. Round j to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k - 8. Let b = k + -1. Let f = b + 11. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2*y**2 + 2*y - 2. Let f be r(-2). Let j = f - -3. Let x = -1.06 - -1.06. Which is the second biggest value? (a) x (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*x + 218428 + 150096, 6 = 2*x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (11 - 0) - (2 - ((-24345)\/765 - -46))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:05 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -4148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2091, 3, -4, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1385l in millilitres?\nAnswer: 26138.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s**5\/3 + 3995*s**4 - 848716*s**3\/3 + 4856592*s**2 - 8961120*s + 694800 = 0 for s.\nAnswer: -386, 3\/37, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5 - 635247*i**4 + 13*i**3 - 23715746*i?\nAnswer: 20*i**3 - 7622964*i**2 + 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 74.211 times 8.55\nAnswer: 634.50405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -24. Suppose 2*z = 2*m + 4, 0*m - 3*z - 14 = 2*m. Let o be m\/14 - (-4)\/14*1. Put o, -5, t in decreasing order.\nAnswer: o, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30132 + 13?\nAnswer: 30211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((6 - 8)\/(-1)) - (-2 - 0). Solve -l*q = 4*x, 0 = -q - 43*x + 38*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2008572731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11851 - 5936. Calculate the greatest common factor of q and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7195 is divided by 300.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17579 - -25072. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*c**4 + 0*c - c**2 + 25851*c**3 + c - 25852*c**3 - 4 to the form h + k*c + y*c**2 + v*c**3 + f*c**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 9:55 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6512 and 45104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-18 + 14 - -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3 - 782*m**2 - 39598*m + 40382 = 0.\nAnswer: -331, -61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2091.0748 and 4.\nAnswer: 8364.2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16504, 16217, 15930, 15643, 15356, 15069?\nAnswer: 14782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d. Let p(a) = 3*a**2 - 9*a + 2. Let s(x) = p(x) - 5*v(x). Let n(h) = 6*h**2 - 8 + 641*h + 3 - 1269*h + 639*h - 1. What is 4*n(b) + 11*s(b)?\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.096 - 150.904. Let n = -150.9999899 - s. Round n to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 6 = 4*l + 2*f, 0 = l - 5*f + 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a kilometer in meters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 56. Let c(a) = -14*a**3. What is c(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -22*g + 90. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7818 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2541 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9389479.\nAnswer: 11, 73, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -36, -34, -28?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 + 6 + (-4 - (5 - 10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 16. Let t be f(-6). Let y(k) = -13*k**2 + k**2 - 8*k**2 + t*k**2. Let w(v) = 2*v. Give w(y(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -459*z**5 + 3*z**2 + 38?\nAnswer: -27540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 46, 57, 52, 19, -54, -179, -368?\n\"Answer: -2*i**3 + 10*i**2 - i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 + 69975*g**4 + 69965*g**3 - 69975*g**2 - 69970*g = 0. What is g?\nAnswer: -13994, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 9*n - 9. Let q(w) = -w**2 - 4*w + 4. Let r(d) = -9*q(d) - 4*s(d). Let j(h) = -9*h**2. What is j(r(k))?\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)*s*s**(-3))**(-8\/7) assuming s is positive.\nAnswer: s**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-12) - (-46)\/(-120). What is the second smallest value in -2\/9, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d0 (base 16) in base 13?\nAnswer: -73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6072 and 176.\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from aaxxaqxaxqxqxxxxxx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4\/3 (c) -31 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 + 7 = 0. Let d(o) = -o**3 + 10*o**2 - 28*o + 24. Let a be d(6). Solve m = x, a*s + 4*m - 13 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268492 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 73 - (-302 - -294) - (1 - 4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 0*j + 54*j**2 - j - 53*j**2. Suppose 319*g = 318*g - 2, 5*h = g - 3. Let p(c) = -c**3 + 4*c**2 - 3*c. Determine h*p(n) + w(n).\nAnswer: 2*n**3 - 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r + 20. Let z(k) = -19*k + 39. Let n = 51 - 54. Let s(y) = n*z(y) + 7*i(y). Is s(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81332 is divided by 616?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.502 - -0.513. Let z = 0.305 + k. What is z rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - g = -2, -h = -43*g + 41*g + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/31, 0.3, -1213\/4, 3?\nAnswer: -1213\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(14) - (sqrt(14) + sqrt(126)*-1))\/sqrt(7).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6351356 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/27)\/((-1)\/(-9))*-2. Suppose 3*g = 4*g - 9. Let b(s) = -8*s**3 + 16*s**3 - g*s**3 - 5*s**2 + 9*s + 5. Determine b(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 427 - 433. What is the nearest to -0.1 in -0.2, -4, 1, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -351.256?\nAnswer: 351.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 + -101. Which is the nearest to p? (a) -0.4 (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) -0.4 (d) 1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1917607 divided by 177\nAnswer: -1917607\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -178, 2\/9, 0.5, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22043172 or -22043132?\nAnswer: -22043132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.087 and -755.\nAnswer: -755.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3 + 1 + 54*i + 3*i**2 - 61*i. Let j(a) = 16*a**2 - 35*a + 19. Let f(u) = 11*g(u) - 2*j(u). Determine n so that f(n) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16862244 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -527 - -530. Which is the second smallest value? (a) -5 (b) 4 (c) -2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 710 + -678 - (40 - -1) - (0 - -12).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 196*g**5 + 52732092*g**4 + 67797748*g**3 - 89321388*g**2 - 29056328*g - 2152320 = 0.\nAnswer: -269040, -2, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*h**3 - 23*h**3 + 16*h**3 + h**2 - 47*h wrt h.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**7\/210 + i**6\/90 + 28*i**5\/15 + 24*i**4 + 247*i**3\/6 - 92*i**2. Let m(v) be the first derivative of f(v). Factor m(n).\nAnswer: -4*(n - 9)*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217428396389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280878607*f**3 - 7*f**2 + 168*f - 4226.\nAnswer: -1685271642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {e: 2, q: 2, u: 1, m: 2, n: 1, i: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 203 - 8. Let k(v) = 14*v**2 + 860*v - 1724. Let u be k(2). What is the greatest common factor of u and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + 2992\/(-96))*(-2)\/1*-66?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 29*t = -11155. Is t a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -2, -4, 1\/52, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1*(-3 + (-4)\/(-2) - -25).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4130 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31521.\nAnswer: 3, 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6632041.7 and 81?\nAnswer: 6631960.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/11*b**2 + 15\/11*b - 1\/11*b**3 + 0 = 0. What is b?\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:24 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/11)*r\/(r\/(r*r**(10\/3)\/r))*r**(-7)*r**(-3\/2))**9 assuming r is positive.\nAnswer: r**(-969\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -382500, 2, 4 in decreasing order.\nAnswer: 4, 2, -382500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 841831, 841829, 841827?\n\"Answer: -2*i + 841833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 5*y**3\/3 - 9*y**2\/2 + 2*y - 11. Calculate the lowest common multiple of o(3) and 158.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 9679980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54\/4015 - 38451\/497860. Find the common denominator of f and 163\/198.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21248.4 * 0.05.\nAnswer: -1062.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 513203 (base 16) in base 10?\nAnswer: 5321219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20641753, -20641756, -20641759, -20641762, -20641765?\n\"Answer: -3*d - 20641750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 9386 = 14*t - 3677. Let i(l) = -47*l - 2. Let s be i(2). Let z = s - t. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 14*j**2 - j - 6. Let k be i(-6). Let y = 122 - -39. Let d = k - y. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42223275 divided by 675\nAnswer: -62553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 5*s**2 + 10*s + 8. Suppose 6*z - 9*z = -3*o - 6, z + o = -8. Give d(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*-0.2.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -18, -258, 115, -3, 4 in descending order.\nAnswer: 115, 4, -1, -3, -5, -18, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557513639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 8 + 36*c + 3 to o*c + f and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((11 - 14 - -14) + 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 8:24 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/16 + (-14)\/(-4). Let v = 66 + -66. Solve o + j = -v*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 8*c**2 + c - 4. Let d be v(8). Suppose 2*w - d*i = 5*w - 4, w + 3*i = 3. Solve 0 = -3*f - w*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 208185 - 94185. What is o rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 562 - 564. What is the nearest to 0.1 in -1, -0.02, i, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -184*v. Let f be r(1). Let d = -101 - f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -200.597 and -0.6?\nAnswer: 120.3582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -16*f**2 + 8*f + 7. Let d(k) = 19*k**2 - 9*k - 8. Let i(s) = -5*d(s) - 6*u(s). Determine i(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 14. Let b be 76\/(-133) - (-218)\/14. Let j be a(b). Let n(h) = -7*h**3 + h. Calculate n(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319416240 a multiple of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -60*s**5 + 3128*s**4 + 6544*s**3 - 26848*s**2 + 3456*s = 0.\nAnswer: -4, 0, 2\/15, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let o = 1.8036 + -1.6036. Let g = 1.3 + -0.3. What is the smallest value in g, b, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 19, -8, -1.\nAnswer: -8, -1, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 139*k**6\/120 - k**5\/4 + k**4\/8 - 2*k**2 - 9. Find the third derivative of h(g) wrt g.\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -411 + 387. Let j be 3\/(-1) + (3 - h\/18). Let -8\/15*i**4 + j*i**2 - 2\/15*i**3 - 16\/15 - 2\/15*i**5 + 8\/15*i = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 21*h + 22*h. Solve 3\/2*q**4 + 0*q**2 + 0*q + h + 3*q**3 = 0 for q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -829*u + 410538 - 387326 = 0 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73828 or -1?\nAnswer: 73828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -3 (b) -0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) -1\/5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 10. Is 89 - (-1 + d)\/(-3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 21. Let q be y(7). Let r be (3\/6)\/(1\/4). Suppose w = 2*t, 3*w = r*w - 3*t + 20. Solve q*l - w = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 divided by -6351?\nAnswer: -449\/6351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*x**4\/11 - 2062*x**3\/11 + 588*x**2\/11.\nAnswer: 2*x**2*(x - 147)*(7*x - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221 - -10221221?\nAnswer: 11000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.3 plus 5.73384?\nAnswer: -46.56616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o**3 - 2*o**2 - 59*o - 58. Calculate h(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3511*x - 14601. Determine d(4).\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.329902*1.\nAnswer: -1.329902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 23*h**2 + 2*h - 151. What is the hundreds digit of v(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -78584767 and 0.9?\nAnswer: 78584767.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -38081634 divided by -2\nAnswer: 19040817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 11) + (-19)\/((-133)\/1960). What is the greatest common factor of t and 5278?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*q - 176 + 60 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 + -100. Let i be 3 + w*1\/(-2). Let k be (-8)\/i + 22\/(-5). Sort 5, -0.3, k in decreasing order.\nAnswer: 5, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34938289?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pptimmppmemypm. What is prob of sequence epy?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 5 + -7 - (-8 + 17) - -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 3 = 3*z - 9*r, -15 = 5*z - 5*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 6*q + 4. Let v(l) = -l**2 - 5*l - 4. Let x be v(-8). Let a be (1 + x)\/3 - -3. Does 4 divide u(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l + 2. Let x(c) = -24*c - 3. Calculate 7*m(n) + 4*x(n).\nAnswer: -19*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3794 is divided by 725?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17589 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*x - 814*x - 2670 = -471*x - 8637 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 0*s**2 + s**2 + 2 - 6. Let i(c) = -10*c - 21*c**2 - 41*c**2 - 43*c**2 + 101*c**2 + 21. Calculate 2*i(u) + 11*t(u).\nAnswer: 3*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 587049, 587050, 587051, 587052, 587053?\n\"Answer: y + 587048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 4*f**2 + 24*f + 34. Let g be y(-7). Solve -g = -5*w - 28 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 1, w: 2, z: 5, k: 1, e: 2}. What is prob of sequence kes?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -22. Suppose 129*r + 145*r = 915 + 1003. Solve -r*l + o = -14*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4614777 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/(-276))\/((-1)\/(6\/3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2801143 is divided by 5169.\nAnswer: 4714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/12 - -2)\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749113573 to the power of 1\/2, to the nearest integer?\nAnswer: 52432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 11) + (13 - (-11 - -12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 + 42*u\/13 - 20.\nAnswer: 2*(u - 5)*(u + 26)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzk when three letters picked without replacement from {z: 5, k: 8}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-13 - (-20 + -1)) + -19 + 35)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 702 = -u. Let x = u - 72. Let b(g) = 4*g**2 - 10*g - 6. What is the units digit of b(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -272, -269, -264, -257, -248, -237, -224?\n\"Answer: n**2 - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 8*c - 19. What is the units digit of t(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900803 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: Calculate the least common multiple of 24 and 8120.\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -30\/49 (c) 4\/56533\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20064 is divided by 542?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -43*t**2\/2 - 2*t - 130. Let d(z) = -z**2. Give y(d(o)).\nAnswer: 43*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 19*l - 23. Let i be j(16). Suppose -i*g + 22*g = 0. Solve 20 = 5*s, 13 = 3*r - g*s + s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 7*j - 1207. What is the remainder when j is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 2. Let d be ((-4)\/10)\/(((-1)\/1)\/(-5)). Let c(p) = -51*p + 27. Give d*c(u) + 27*l(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -40. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 4. Let z be c(-9). Let g(s) = s**3 + s - 23. Let n be g(0). Let p = z - n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 + 88*o**4 - 1164*o**3 - 1408*o**2 + 2480*o = 0. What is o?\nAnswer: -31, -2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 27.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 12*c - 356 = 0. Let a = 102 - c. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3296 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 + 108*x + (2*x - 4 + 4)*(-4 + 1 + 2) to the form z + j*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.2, 3, -10\/31, -2\/17 in ascending order.\nAnswer: -10\/31, -0.2, -2\/17, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49709 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 + 2*f**3\/3 + 2*f**2 + 5*f. Let d be t(-4). Solve -z + d*v + 3 = 2*v, -5*v = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.145 and -242236?\nAnswer: -35124.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(12*207)*4*39\/(-26)\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1 (c) -1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -245*j + 9. Let f(u) = -367*u + 14. Let t(g) = 8*c(g) - 5*f(g). Is t(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 207 - 201. Suppose q*n = -c + 5*n + 9, 4 = n. Solve c + 6 = 4*l - m, -5*l + 13 = -2*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5929) + -3*sqrt(5929)))\/((sqrt(70)\/sqrt(2))\/sqrt(5) + sqrt(7) - (sqrt(7) + (sqrt(567) - (sqrt(567) + -1*sqrt(567))) + sqrt(7) + sqrt(7))).\nAnswer: 33*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10 + 46*a**2 - 130*a**2 + 38*a**2 + 47*a**2 - 7*a. Suppose 2*f + 17 = f + 5*t, -3*f = -5*t + 31. Is 36 a factor of x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = s - 35, -4*g - 110 = -3*s. What is the remainder when 117 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 63*x + 429. Let s(w) = -31*w - 215. Let j(r) = -4*g(r) - 9*s(r). Let f be j(-8). Solve 0 = 3*b + 6 + f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138833 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*x - 4*y, -2*y = -4*x - 5 + 31. Let v be 2\/7 + 243\/7. Calculate the greatest common factor of v and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340468521 a multiple of 2564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5638262 is divided by 9944?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111001 - -11111100?\nAnswer: 1001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = v, -2*a = -2*v + 5*v. Suppose v = -9*m - 6654 + 61725. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsfssss. Give prob of sequence ffs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -0.4, -291?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 10*b**2 - 6*b + 28. Let l(c) = -c**3 - 14*c**2 - 5*c - 79. Let s be l(-14). Let m be i(s). What is the highest common divisor of 5 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 96*p + 1571. Determine y(-15).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.5. Suppose 0 = -4*s + 5*k - 23, 0 = 2*s + 2*k - 2 - 0. Which is the second smallest value? (a) u (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -3*y**8\/784 + 11*y**7\/490 - 19*y**6\/840 + y**5\/140 - y**2 + 8. Find u such that r(u) = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 3*g**3 - 5*g**3 + (-10 + 10 - 204*g**2)*(-6*g - 3*g + g).\nAnswer: 1631*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 285?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 6, r: 1, o: 2, a: 5, l: 1}. What is prob of sequence ayr?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24767534.\nAnswer: 2, 11, 1125797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -69815.1 (b) -4 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -5) + 25 + (1 - (0 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -28*v**2 + 116*v - 63. What is u(2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-10)\/45). Differentiate -4 - f**4 + 5*f**4 - h + 4 with respect to f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from yyffyyfffyfy?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1015986 times -1\nAnswer: -1015986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Let u = k + 2. Let t(h) be the third derivative of h**4\/12 - h**3\/6 - h**2. Determine t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 2:26 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 3888?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38265 in -4, 3, -4\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**19)**38*s\/(((s*s\/(s*s*s**(-14)*s))\/s)\/s)*s**(2\/3) assuming s is positive.\nAnswer: s**(-2080\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 1:23 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-1 - 3) + (-3 - -11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1025 by 5.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*s - 138*m**2 + 2985*m - 55100291*s wrt m.\nAnswer: 4*m*s - 276*m + 2985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 933516.4cm in meters?\nAnswer: 9335.164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4*h + 9 + 16.\nAnswer: -4*h + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -1. Let a = 0.1 + -1.1. Let v = 2 + 0. What is the closest to a in i, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741609047?\nAnswer: 1163, 637669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(245) - (sqrt(245) + -1)) - sqrt(245)) + (sqrt(245)*2 + -5)**2 + ((sqrt(245)*2 + sqrt(245))**2 + 1)*4 + 3.\nAnswer: -147*sqrt(5) + 9829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -1\/7 (c) 0.4 (d) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -38647, -2\/17221?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 150, 322, 500, 684, 874, 1070?\n\"Answer: 3*c**2 + 163*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*s + 247. Suppose 5*b + 4*d + 16 = s, 2*b = -d + 15. Let g be 8\/3*12\/b. Solve -2*z - 8 = -g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 101429275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -40 + 5*y**2 - 4*y**2 + 5*y + 0*y + y. Let b be q(-10). Let j be (-2)\/(-14) - b - 2134\/(-154). Solve -1 = -5*s + j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25804?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**5 - 172*u**4 - 2400*u**3 - 10944*u**2.\nAnswer: -4*u**2*(u + 12)**2*(u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 571 + 178. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -33. Let r be 2\/2 + (o - -14). Let z = r - 0. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -3*a**5\/20 + 3*a**4\/4 + 3*a**3\/2 - 3*a**2\/2 - 15*a\/4 + 255. Let n(c) = 0. Calculate c.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + m**2 - m**2 + (3 + 4 + 1)*(-3*m**3 + m**3 + 3*m**3).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 7:47 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 388.9987 + -389. Let o = m + -0.4987. Let w = -92 - -456\/5. Which is the second biggest value? (a) w (b) -7 (c) -0.3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1690*a + 658*a - 60032 = -1404*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 41, 89, 187, 353, 605, 961?\nAnswer: 1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 - h**2 + 0*h**2)*(-342*h - 371*h - 425*h + 322*h) to y + i*h**3 + l*h + g*h**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a = 158 + 206 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1, 15, 5 in decreasing order.\nAnswer: 15, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 + 7*n - 6. Let a be k(5). Let f = 2 - a. Let j(s) = 2*s**2 + 3*s + 4. Let p(o) = -o**2 - o - 1. Let l(t) = j(t) + 3*p(t). What is l(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m + 28*m + 22*m - 3*m**3 - 4*m - 18*m**2 = 0.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -64, -65, -68, -73, -80, -89?\n\"Answer: -b**2 + 4*b - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j + 39*j + 115 = -94 - 169 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27323 - -27581. Calculate the greatest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1716 and 48828.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -180*q**3 + 2*q**2 - 43 wrt q.\nAnswer: -540*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(-8\/7)*g\/(g*(((g*g\/(g\/(g*g**(2\/45)*g*g)*g))\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(256\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -5 - (1 - 7 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -960*d**2 - 3. Let i(h) = 4*h**2. Calculate n(i(g)).\nAnswer: -15360*g**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250894 is divided by 41809?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 648333547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30069*n**2 - 49*n - 143012*n**2 + 49*n.\nAnswer: -112943*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864299223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*(-15)\/2400*3*6\/(-9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 - 2312?\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -0.5534140053?\nAnswer: 0.6534140053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, x: 6}. What is prob of sequence rrxr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + sqrt(17)*1 - (0 + -1*sqrt(2057))) + (((sqrt(170) + 2*sqrt(170))*-3 - sqrt(170))\/((sqrt(490) - -2*sqrt(490)) + sqrt(490) - sqrt(490))*6)**2.\nAnswer: 12*sqrt(17) + 7094\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 - 6 - (-3013)\/(-299). Let x = -11.3 + 12. Let h = x - 0.9. Which is the third smallest value? (a) 0 (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c + 6 = 0. Let t(f) = f**3 + 4*f**2 + f - 4. Let a be t(c). Solve a*k + 12 = -4*p, 0 = -p - k - k - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 12*l**2 + 34*l + 85. Determine a(-5).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -229, -343, -455, -565?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 - 4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 + 123. Suppose 2*p - 40 = -3*q, u*p + 51 = 5*q + 11. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 843 + 2d9d3?\nAnswer: 30436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12360, -12357, -12346, -12327?\nAnswer: -12300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j. Let d(u) = 415 - 218 - 72*u**2 - 197. What is k(d(a))?\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3*p**2 - 21*l**3 + 2*l**2*p - l*p**2 - 112*l wrt l?\nAnswer: -18*l*p**2 - 126*l + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, 19, -42, 4 in increasing order.\nAnswer: -42, -21, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/3)\/((-125)\/(-3375)). Solve -30 = -20*y - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -4\/3*w - w**2 - 10 + 0*w**3 + 1\/6*w**4. Solve f(d) = 0 for d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 d when three letters picked without replacement from udqktquqq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(2\/5)\/m*m*m)\/m)\/m)**(4\/3)*m**(2\/5)*(m*m*(m*m**(3\/7))\/m)\/m assuming m is positive.\nAnswer: m**(248\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.6. Let q = 0.031 + -0.031. What is the second smallest value in q, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76112632 and 10515561?\nAnswer: 1598365272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -9 + 12 + 24\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 2*f - 1. Let x be a(2). Suppose -5*r = 3*i + 123010, -x*r + 163990 = -4*i - 2*r. What is i rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1682645, 1682660, 1682683, 1682714, 1682753, 1682800, 1682855?\nAnswer: 1682918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -503 from 9.7.\nAnswer: 512.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 5*z**2 - 5*z - 4 - 5. Let r be (-4)\/6 - (-34)\/6. Let x(o) = 2*o + 4. Let d(v) = r*x(v) + 2*c(v). Factor d(i).\nAnswer: -2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -5\/7, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, x: 4}. What is prob of picking 2 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = t + 3. Let m be -3*501\/t + -2. What is the highest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1331) + -1 + sqrt(11).\nAnswer: 3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-68)\/8)*12\/9. Let d be (-4)\/8*3 + (-5)\/t. Let m(u) = -56*u + 1. What is the units digit of m(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4689582000 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 288197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnqq when four letters picked without replacement from rnnrnqrnqnqnnrnnnn.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1660 - 1660. Solve 110*x - 114*x = n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -24346.5802.\nAnswer: -24346.8802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 0.2, 2\/35, 104, 2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040*o + 1126*o = -2924 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(245) - (sqrt(405) - (sqrt(405) + 1) - sqrt(405))) + (sqrt(55) + sqrt(55)*-2)\/sqrt(11) + -2*sqrt(5)*-1)**2.\nAnswer: -22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 14 = -3*u + 5*u, -2*u - 5*t + 20 = 0. Suppose -5*y = -3*y + 4*c, y = 2*c + 16. Suppose -u*w + y = -7. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -47?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -11550 and -4.\nAnswer: -11554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 110\/12 + 10\/6*87\/(-58). Determine f so that 16\/3*f**2 - q*f - 4\/3*f**3 + 8\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(684) - sqrt(19))*-4 + 1)*-2.\nAnswer: -80*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**3 - 217*c - 13*c**3 + 43*c**3.\nAnswer: 3*c**3 - 217*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-4 - (3 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6665*o + 3382*o + 3283*o + 4811*o**2.\nAnswer: 4811*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -75*c - 1576. Let g be m(-21). Which is bigger: 3\/3406 or g?\nAnswer: 3\/3406","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.6 times -1040?\nAnswer: 414544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 6 + 6)*(2 + 0 + 0) + m + 2*m - 4*m - 8 + 106*m + 9 - 20*m.\nAnswer: 89*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 + 198 + 12*q - 96)*(-2 + 2 + 1)*(-2 + 2 + 2)*(-1 + 1 + 1).\nAnswer: 24*q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 - 136\/(-40). Let o(u) = -u + 3 - 11*u**3 + 6*u**2 + 16*u**3 - 6*u**n. What are the prime factors of o(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*-3)\/((-173)\/((-4325)\/50)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t + 3. Let f be c(-3). Let h = 31 + f. Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from lxxxxlxlll?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2*z - 22. Let m(s) = s + 7. Let l(t) = -7*d(t) - 2*m(t). Calculate l(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 7*z - 5. Let a be v(-5). Suppose m = 4*m + 4*r - 25, -4*m + a*r + 54 = 0. Calculate the remainder when 32 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 6*t**2 + t + 4. What is the hundreds digit of w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 21*w**3 + 7*w**2 - 3. Let h(m) = -7*m**3 - 2*m**2 + 1. Suppose 0 = -4*j - 3*i + 31, 2*j - i - 19 = -6. Calculate j*h(d) + 2*u(d).\nAnswer: -7*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/106, -100, 3, -0.4, 1\/2, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5856 divided by -2?\nAnswer: -2928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = -4*b + 95, -5*b + 112 = -3*r. Suppose -68 = -3*f + d, -f - 5*d = -0*d - 28. Calculate the greatest common divisor of f and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - n**2 + 0*n**2)*(-3*n + 3*n + n**2) - 25 + 25 - 11*n**4.\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 - j**2 - 2*j - 11. Let a be y(-2). Solve 16*r - a*r = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2.4. Let l(f) = -f**2 + 5. Let v be l(0). Sort -2, x, v.\nAnswer: -2, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w + 2216. Let r(q) = 5*q - 2225. What is -6*d(c) - 7*r(c)?\nAnswer: c + 2279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i**2 + 18. What is the remainder when (8\/(-3))\/((-8)\/156) is divided by v(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31154.\nAnswer: 2, 37, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001729 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 9. Let y be f + -3 - (2 - -22). Is y at least as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 642961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/9))**(2\/57)*(p**(5\/8))**(26\/7) assuming p is positive.\nAnswer: p**(33569\/14364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7910 - 9*w + 7919 - 15829 + 35*w.\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*r**2 - 4*r**5 + 26*r**5 - 216*r**2 wrt r.\nAnswer: 1320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 7*k - 3*k + k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9048 divided by -8.\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by -187?\nAnswer: 161\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d - 5*d + 29*d - 7*t - 213, -2*d + 4*t + 14 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -172*j + 15. List the prime factors of g(-2).\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - -10. Suppose 30*l + 525 = g*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2035*m**2 - 213*m. Let z(f) = 10174*f**2 + 1065*f. Let h(l) = -31*i(l) - 6*z(l). What is the second derivative of h(j) wrt j?\nAnswer: 4082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -874042 in descending order.\nAnswer: 7, 3, -874042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 divided by -2?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1ac9 (base 15) to base 3\nAnswer: -21222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/6 - 4*z**3\/3 + z**2\/3 + 4*z + 52. Factor s(v).\nAnswer: -2*(v - 1)*(v + 1)*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let t(k) = -1. Let p(j) = 2*j. Let o(l) = 4*l - 1. Let w(v) = -o(v) + p(v). What is n*w(s) - t(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28280427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*i - t + 1, -5*i = t - 44. Let p be (-2)\/i - 20\/(-90). Suppose p*b - 5*x - 734 = -3*b, 3*b + 3*x - 774 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 4*i**2 + i + 3. Let t be z(-4). What is the remainder when (436\/(-1))\/4*t is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 20\/3 (c) -3 (d) -3086\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(2\/7)*j)*j)**(1\/18)*(j**3)**38 assuming j is positive.\nAnswer: j**(7181\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 300061123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**2 + 3*c + 1. Let r be w(-5). Let b = 401 - r. Suppose -f + 23 = 2*j - 146, 3*j - b = 3*f. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.14 + 49.74. Let p = 18.3 + -62.3. Let t = j + p. Is t bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 10. Solve 3*r - 4*v - 13 = j, -5*r = -2*r - 3*v - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -613, -1401, -2539, -4045, -5937, -8233, -10951?\nAnswer: -14109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/36*-18)\/6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001683397 rounded to 5 dps?\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 562655\/44 + -12787. Let o = 4\/11 - f. Is 5 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*x = 582 - 146 + 524 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 33, 73, 153, 285, 481?\n\"Answer: 2*g**3 + 2*g**2 - 8*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 10*q - 860. Suppose -2*o = -3*n - 28, -5*o + 2*o = -5*n - 44. Find the common denominator of 69\/2 and ((-6)\/o)\/(6\/q).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 1\/3 (c) -5\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 5. Let b be m(5). Suppose -b*y + 4*y = -2. Is y\/12 - (-5307)\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 1968?\nAnswer: 1968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -5) + -10 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2266975 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2. Let o(y) be the first derivative of -28*y**3\/3 - 55. What is o(r(p))?\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*m = -691*m - 2*l + 3, -4*m - 4*l = 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10347020 divided by 5.\nAnswer: 2069404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11084484*b**5 - b**4 - 9*b**2 - 1657711*b wrt b?\nAnswer: -665069040*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-42)*10\/100.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -161719, -161597, -161391, -161101, -160727, -160269, -159727?\n\"Answer: 42*t**2 - 4*t - 161757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193140*c + 89375*c + 76577*c.\nAnswer: 359092*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 7:50 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2716234, -2716230, -2716226?\n\"Answer: 4*h - 2716238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:34 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 - 13)*(-1 + 4 - 1)*(3 - 1 - 3*x - 1).\nAnswer: 84*x - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-125))\/(4\/(-30)) + 11 + -12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f**2 - 35*f**2 + 115*f**2 - 50*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -272*a - 34. What are the prime factors of x(-3)?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822517 is divided by 6049.\nAnswer: 5902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11331)\/6295)\/((-3)\/20*1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 - s**3 + 0*s**3 + (4*s**3 + 0*s**3 - 2*s**3)*(-11 - 13 + 0)*(-62 - 20 + 29) as b*s**2 + q*s + l + w*s**3 and give w.\nAnswer: 2542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2546 divide 167032876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -2*z. Solve -4*h + 4*i = -16, z*h = 2*i - 4 + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -5. Let s be -1 + -1*(m + 0). Suppose -3*x = s*k - 78, x - 8 = -5*k + 18. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-2169)\/1687)\/((-9)\/4494) and 144?\nAnswer: 15408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2 + 890922096*u - 66145181761752768 = 0.\nAnswer: 148487016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Determine j so that -544*j**2 + f - 26 - 284*j - 15 + 64*j**3 = 0.\nAnswer: -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/14*(1 - 13\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-1) + 0)\/(3\/899424*9).\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/6)\/(2\/10). Let d be (-2)\/((-3)\/48*2). Let g = 16 - d. Is g > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98675 divided by -5\nAnswer: 19735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*y**2 - 36*y**2 + 57*y**2 + (0 + 0 - y)*(-y + 2*y - 2*y) + (4*y - 3*y - 2*y)*(-y - y + 4*y) - 4*y**2 - 1 + 1.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2420298 divided by -1.\nAnswer: -2420298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -118. Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {w: 2, p: 2, n: 3, i: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 18*v - 13*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 20.5. Let h = q + -0.497. Which is the second smallest value? (a) -1\/8 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d = 40*d - 24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21*((-9)\/(-21))\/(48\/56)*140\/(-49)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3332 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25243.6 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 21 - 23)*(145*k**4 + 117*k**4 - 137*k**4) to n*k**3 + w*k**4 + m*k + t*k**2 + r and give w.\nAnswer: -1625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 421888 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.507 and 43.\nAnswer: 21.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 848072 and 231523656?\nAnswer: 231523656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190) - (sqrt(190) - (2*sqrt(190) - sqrt(190))))*-1 + (sqrt(190) - -3*sqrt(190)*-1))\/(sqrt(50)\/(-5*sqrt(720))).\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.707643km in nanometers?\nAnswer: 9707643000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -3520\/18831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.037 (b) -4\/5 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 j, and 2 x when four letters picked without replacement from ixixucucjiioi.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406684841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((1 + -4)*-2 + 10\/2). Let x = 190\/3 + -64. Put -5, -0.1, q, x in decreasing order.\nAnswer: -0.1, q, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**6\/60 + w**4\/24 + w**3\/6 - 2*w**2. Let j(r) = -3*r - 4*r - 1 + 6*r. Give -j(a) - z(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 10 = -3*o - 11, -3*m + o = 19. Let u(w) = -w**2 - 9*w - 5. Determine u(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 312*a**3 + 14 + 6 - 33.\nAnswer: -312*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 - 0.04.\nAnswer: 173.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, p: 3, m: 2}. Give prob of sequence mm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.56 - -0.96. Let r = 1.4 - -17.6. Let j = -15 + r. What is the second smallest value in j, w, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.49 - 1.93. Let q = t - -0.44. What is the third smallest value in q, 1.4, -0.1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407 plus 41029.0722?\nAnswer: 39622.0722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 504, 4097, 13870, 32919, 64340, 111229, 176682, 263795?\n\"Answer: 516*m**3 - 6*m**2 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -5e?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-130)\/7 + (-4)\/(-7))*-1. Let c = t - -123. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*o - 3 - 7, -3*o + 10 = -k. Suppose -2*r + z - 5 = -3*r, 4*r = k*z - 10. Let g(d) = d**2 + d + 22. What is the units digit of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(2\/18). Suppose 2*h = 4*h - z*t - 136, -5*h = -t - 314. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:43 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 19*x**2 - 48*x + 27. Let z be c(-16). What is the highest common factor of 684 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {c: 1, n: 3, l: 1, b: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -22 - 12 - (2 - 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -112223112?\nAnswer: 112223113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 6)\/(2\/(-2)). Let i(y) = 2*y. Let q(v) be the first derivative of v**2 + 6. Determine k*q(j) - 6*i(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0483507 to 3 dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b936a5 - -2?\nAnswer: -2b936a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**3 + f. Let h be u(-1). Suppose 0 = p + 5*s + 5, -h*s + 2*s + 11 = 3*p. Solve -1 = -3*a + p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4228 - -0.5772. Sort -3\/2, 33, d in descending order.\nAnswer: 33, d, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 17. Determine h so that 2\/3*h**2 + 2\/3*h + a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5494 = -1687*c + 1110*c - 2584 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqv when three letters picked without replacement from qdvvqwvwwvqvqv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 2694, 1.\nAnswer: -5, 1, 2, 2694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 26\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -364313.4169 rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*h - 69, 2*h + r = -2*r - 53. Let d(i) = -154*i - 23. Is d(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 17595.\nAnswer: 17596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3963834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 1573?\nAnswer: 14157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 4*u - u. Let g(q) be the third derivative of 0*q + 0*q**4 + 0*q**3 + 25*q**2 + 3\/20*q**5 + 0. Calculate j(g(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 16. Let p be m\/(-1) + 2 - -7. Suppose -p*v + 96 = 36. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7723096.\nAnswer: 2, 71, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 8, 3*h - 3*d + 6 = 0. Suppose h*a - 3*a - 3*x = -3, 0 = -a + 5*x + 1. Solve -v = 2 - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-390)*(-260)\/(-104)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mllmmalamililil. Give prob of sequence aali.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.7. Let t = 89.35 - 81.35. Which is the nearest to -2\/7? (a) d (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111 or 520?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 2511 + 1259 + 1272 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(2310\/(-24))*45\/378)\/(138\/207)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512238713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, l: 2, o: 3, p: 1, z: 4}. What is prob of sequence pzzl?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 29. Let f = -0.1 + 0.9. Let w = f + -0.7. What is the nearest to w in s, -2\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869?\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-7 + 5)) + -55. Is (26\/4)\/((-9)\/z) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 32 - 103 = 0. Let k = f - 19. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9 + 0 - 2*b - 4. What is the units digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290048 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1398 - 1395. Suppose -5*u + 206 = 2*l - l, 0 = 5*u + 3*l - 198. Let p = -73 + u. What is the second biggest value in q, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1369 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(1296) + (sqrt(1296) - sqrt(1296)*2 - sqrt(1296) - sqrt(1296) - sqrt(1296))).\nAnswer: -sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 21 = 8*d. Find m such that -5*m**4 + d*m + 20 - 14*m - 13*m - 15*m**2 + 20*m**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 6. Let x be b(3). What is the hundreds digit of ((-1740)\/108)\/((-1)\/x)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (23\/(-92))\/(1\/(-16)). Let v = 493 - 486.09. Let y = 0.09 + v. What is the closest to t in y, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 357224673 a multiple of 630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6916 by -988.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/12 - ((-2396422)\/84)\/17?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -10880, -4 in ascending order.\nAnswer: -10880, -4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a*d**3 + 5*a*d**2 + 3598*a*d - 2*d**3 + 15*d**2 wrt d.\nAnswer: 30*a*d + 10*a - 12*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 88, 356, 802, 1426, 2228, 3208, 4366?\n\"Answer: 89*g**2 + g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7820 and 516847260?\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 13, f: 6}. Give prob of picking 4 f.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -140\/3. What is the biggest value in j, 2, -2\/3, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (183 - 179) + (5 - (-3 - -21))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**2\/8 - 2607*c\/8 = 0.\nAnswer: -869, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 3*y + 46, 6*y - 2*r - 6713 = -6795 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nogl when four letters picked without replacement from {l: 1, g: 3, d: 1, n: 2, o: 12}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 371 + -5193\/14. Which is the third smallest value? (a) -2\/9 (b) q (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1406326*u + 1262441?\nAnswer: -1406326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1036)\/572 - (-2)\/(-13). Let p = -2026 - -26368\/13. Let f = o - p. Calculate the common denominator of 79\/4 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:03 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56916610.\nAnswer: 2, 5, 41, 138821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1127, -3115, -6405, -10997, -16891, -24087?\n\"Answer: -651*y**2 - 35*y - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52726101 - 52726353.493173. Let m = v + 148.49323. Let s = -104 - m. What is s rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*p + 29 = 0, 5*z - 24 = -5*p + 146. Let x(b) = 10 - z + 8*b + 4*b. Calculate the remainder when x(10) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + o - 4*o + o - 11*o to the form p*o + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9706?\nAnswer: 2, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1080*s - 129 = 1121*s + 24082 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2 + -2 - (10 - 11)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/140*(-5)\/(-4))\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1297 - 134. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10115448 less than or equal to -10115449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8029, 16041, 24049, 32053, 40053?\nAnswer: 48049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 257*n**2 - 16383*n + 16641.\nAnswer: -(n - 1)*(n + 129)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -110\/39 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14464889*j - 4923572 wrt j?\nAnswer: -14464889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/(-12*(-2)\/48)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*g - 2*u - 5, 4*g - 5*u - 15 = 0. Let l(d) = 7960*d + 0*d**2 - 12 - 7969*d + d**2. What is l(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffifhfi. What is prob of sequence ifff?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -27*j**4\/4 + 162*j. Let n(x) = 23*x**2. What is 5*b(m) + 18*n(m)?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -5*p - 24, -2*r - 4 = -3*p + 5*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001539 to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32314 (base 6) to base 11\nAnswer: -3375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620 and 50964?\nAnswer: 6880140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -641 - 515. Let c = j - 61. Calculate the remainder when 249 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 15 = -13*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1952 - 1937. Solve 11 = -q*l - 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -5 (c) 6 (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.82 and -141280.4?\nAnswer: -115849.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 9*n. Let p be (-30)\/4*36\/27. Determine f(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*s - 7*s - 1020 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207 and (-2216)\/(-6) + 60\/(-45)?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.049\nAnswer: 0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57766*t = -57758*t + 216 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26127805 - 0.621277. Let n = 0.36 + r. What is n rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**2. Let j(c) = -8*c**2. Let a(n) = 7*f(n) - 6*j(n). Suppose h - 12 = -2*x, -5*h - x + 25 = 2*x. Let u(p) = -h*p + 6*p - 3*p. Give a(u(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -d - 11. Let r be (-4)\/d - (-150)\/54. Solve 0 = -0*o + o - r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(180)*-2*-6 + sqrt(180) + 2*sqrt(180)*1 - (sqrt(180) + -1 + sqrt(180) + 5 + (sqrt(180) + 1*sqrt(180) - sqrt(180)) + -5)))**2.\nAnswer: 576*sqrt(5) + 103684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1821a6 (base 11) to base 6\nAnswer: 10005142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 75.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from zrfzmrfzzhurz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 104*o + 53760.\nAnswer: -(o - 240)*(o + 448)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 7*u - 188*u**2 + 501*u**2 - 118*u**2 - 193*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-7)\/(-4)*6\/1330*10.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401143 (base 5) in base 8?\nAnswer: 30601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.396 + 0.204. Let w = q - 25. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Let i be (-32)\/42 + s\/6. Let h = -26 + 25.5. Which is the second smallest value? (a) 0.2 (b) i (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22264 (base 12) in base 7?\nAnswer: -246022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5 = 3*q, -4*q = -3*h - 30 - 2. Let b(w) = -w**3 + 5*w**2 - 4*w + 5. Calculate b(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b. Let g(n) be the second derivative of -n**4\/12 - 387*n**3\/2 - n**2\/2 + 4889*n. Calculate g(q(j)).\nAnswer: -4*j**2 + 2322*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 76 = -27 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1395*f + 8525 - 37465 = 24070 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 199*h - 389. Determine p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1 - 3) + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4911850093.77517969 + 4911850072. Let h = 21.73918 + o. Let x = -0.036 - h. What is x rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/14 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 52. Let l be j\/(-255) - ((-84)\/(-45))\/14. What is the smallest value in -5, 0.3, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -944 - 138*d**2 + 943 + 2*d**3 - 4*d + 151*d**2 to the form j + t*d + w*d**2 + f*d**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liiilpljpillpllplilb. What is prob of picking 1 b and 2 l?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/18 - (1 + -3)\/(-4). Suppose l - i*l + 104 = 2*j, -2*j + 94 = -4*l. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((546\/42)\/325)\/(((-6)\/2)\/(-3)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -736 - -735.999999822. Round i to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.791068m in centimeters?\nAnswer: 179.1068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/6 + 3*q**2\/2 - 2*q. Let y be 6\/8 - (-3)\/12. Let r be 0 + (y - 1) - 4. Calculate f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f - 3059 - 205 = 70*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, o: 4, z: 4, d: 1, q: 1}. Give prob of sequence oqd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1043 = 4*z + o, 0 = -4*o + 20 - 8. What is the least common multiple of z and 5?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 20242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3 = -5*y, -3*y + 0*y - 9 = 0. Which is the biggest value? (a) i (b) -3 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 112?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -3*t + 5, 5*i + 25 = -176*t + 180*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-5)\/40 + -3 + 5. Let w = 5 + -5. Let z = w - -0.3. Put r, z, -2\/17, 4 in ascending order.\nAnswer: r, -2\/17, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20334302, -40668602, -61002902?\nAnswer: -81337202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -426 + 1276\/3. Is q > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*c - 2*t - 4, -2*t = 4*c + 16. Sort 0, -2, c in descending order.\nAnswer: 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*k + 21*k + 1249. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -9\/10, 2\/15, -209?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 2*j - 1. Calculate y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -121120 (base 3) to base 4\nAnswer: -12333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*sqrt(250)\/sqrt(125))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 6*x + 0 - 1 as f*x + s and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*2)\/sqrt(3) - (sqrt(68) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7248*d**2 + 3*d - 2. Let y be f(-2). Round y to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 + 10*a + 10. Let u(g) = -g**3 - 3*g**2 + 9*g - 10. Let i be u(-6). Suppose -4*v + 16 = i. Determine f(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337296963 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 114376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 10) to base 13.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 36*i**3 - 7*i**2 - 18*i + 9. Let z(v) = -19*v**3 + 4*v**2 + 10*v - 5. Let a(s) = 4*p(s) + 7*z(s). Let x be -6 - 5\/10*-18 - 2. What is a(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16 + 4)\/((-9)\/(-12)). Is n\/72 + 200\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11228 + -7363. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 - 3*y + 3. Suppose -6 = 2*j + 2. Is o(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/(sqrt(33)\/sqrt(3)) - sqrt(21)\/(sqrt(7)*4 - sqrt(7))) + -3)*6 + 2.\nAnswer: -16 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36990 - 5.99893645?\nAnswer: 36984.00106355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3702 + 2853. Which is smaller: y or -22?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 46*g - 91. Let b(i) = -8*i + 15. What is 6*a(k) + 34*b(k)?\nAnswer: 4*k - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57643093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*b + 13 = 0, -4*b - 6 + 60 = 3*w. Let g(f) = 4*f - 51. Let c be g(w). Solve -c*y + 13 = 4*m, -y - 2 = -m - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 2*i - 350. What is the units digit of 15\/i - 32\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 16*p**3 + 44*p**2 - 160*p.\nAnswer: p*(p - 2)*(p + 8)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35805508 and 152472.\nAnswer: 214833048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24762 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358063502 - -12624.4.\nAnswer: 358076126.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 16. Let y = 0 - -8. Suppose x = y*z + z - 630. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, t: 2, s: 7, b: 4, i: 5}. Give prob of sequence ti.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2924353 - 2924353 + 11*y**3 - 4*y**3 + 0*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 27 = 5*r. What is the remainder when 29 is divided by 5\/(-2 - r\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 1878231.\nAnswer: -5, 5, 1878231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1.322?\nAnswer: 1.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7 - 17 + 5 + 4 + 6 + 4*z. Determine b(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 2, d: 4, q: 1}. What is prob of sequence qmq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -2837 (b) 4 (c) 0.5 (d) 13 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, 18 in descending order.\nAnswer: 18, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(-2 + ((0 + sqrt(1100))*1 + 4 + -1*sqrt(1100))*4)*-6)**2.\nAnswer: -1270080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2208324702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*d = -0*z - 479 + 455, 4*d = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 993 + 7*y - 496 - 494 + y**2. Calculate w(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 15*b - 1167 - 417 = 0. Calculate the highest common factor of 4296 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -57 + 180 - 22*w + 40. What is the units digit of a(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + -4 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-49)\/(h**0\/(h*h\/(h**(-5)*h)))*((((h**(-2)*h)\/h)\/h)\/h**(1\/5))\/(h**0\/(h*h\/(h*(h\/(h**(-2\/13)\/h*h))\/h))) assuming h is positive.\nAnswer: h**(3422\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - g**3 + 4 + (-2*g**3 + g**2 - g**2)*(-1 + 0 + 0) - 3*g**3 - 22*g**3 + 2*g**3.\nAnswer: -22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16540, 129150, 434804, 1030024, 2011332, 3475250, 5518300, 8237004?\n\"Answer: 16087*f**3 + f + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 367734435904.6300015 - 367734527332. Let j = 91429.37 + h. Let a = j - 2. What is a rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14526.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 80*f - 184. Does 9 divide i(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 o, and 1 q when four letters picked without replacement from fdffwqoqwf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 5*d**2 + 3*d**2 + (0 + 1 + 1)*(5*d**2 - d**2 - 2*d**2) + (5*d + 0*d - 4*d)*(4*d + 4*d - 6*d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p + 2*p - 91380. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-3))\/((-2)\/14). Let b(t) = 8*t**2 - t - 1. Suppose -5*w - 2*a = a + 14, 2*w + 11 = -3*a. Let v be b(w). Solve -3*n + v = -x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*x - 78899984, 5*x = 3*v - 34179550 - 44720438. What is x rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3) + 50\/20 - 3\/6. Solve 0 = -5*z - o*g + 3, 20*z = 23*z + g - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.0269 and 7.\nAnswer: 49.1883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + g - 1. Suppose 92 = -5*u - w + 102, 3*w - 12 = 3*u. Let h(n) = 6*n**2 - 10*n + 4. Calculate u*h(p) + 4*f(p).\nAnswer: 2*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.835 to one dp.\nAnswer: -63.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**4\/7 - 351*j**3\/7 + 1704*j**2\/7 - 2700*j\/7 + 192 = 0.\nAnswer: 1, 2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(96\/78) + -7. Which is the closest to -2\/7? (a) 0 (b) 0.015 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -2 + (11 - 5). Find the third derivative of -2*r**2 + 5*r**2 - d*r**2 + r**5 wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8461 and 0.6?\nAnswer: -5076.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/8 and 6\/2299.\nAnswer: 18392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 99, 110, 121, 132, 143, 154?\n\"Answer: 11*w + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2046 + 259 - 1271 = 87*u + 335 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnpffnxfgpfgfggg. What is prob of sequence ggg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 4*b**3 + 0*b**3 + (2*b**3 - 2*b**3 + 3*b**3)*(-3 + 4 + 7 + (1 + 1 - 6)*(-3 + 0 + 2)) to the form u*b**2 + w*b + g + n*b**3 and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o - 14. Let x(p) be the second derivative of p**2 + 38*p. Let i(v) = -v**2 - 8*v + 2. Let z be i(-6). Give z*x(n) + 2*l(n).\nAnswer: -2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 21 = -4*y - 9, -4*i = 4*y - 12. Suppose -n + 4*a = -57, -5*n = -y*a + 3 - 339. What are the prime factors of n?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -487 - 3\/1. Suppose 0 = 5*z - 30 - 0. Suppose -z*c + c = -j. List the prime factors of c.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 52 - (12 + -3 + -4 + (-6 - -2))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*z - 16049 = -23*z + 901 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 - 53. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5945273 millilitres to litres.\nAnswer: 0.0005945273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.26 - -0.56. Suppose -2*b + 3*q - 3 = 0, 3 - 5 = -2*q. Let f = -3 + -2. What is the nearest to b in y, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2802711*f**2*p + 3*f*p + 27*f + 2004*p - 2 wrt f.\nAnswer: -5605422*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 16*k - 160 = 0. Calculate the highest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 845020 and 3056100.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/((-84)\/(-182)*(-65)\/100).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044 divided by -2?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -12*i - 444. Let c be v(-37). Suppose -49*p - 563 - 221 = c. Suppose q - 27 = 2*q + 2*j, -70 = 5*q - 3*j. Which is smaller: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.028317 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(35)\/sqrt(112))**2 + -5.\nAnswer: -75\/16 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 1414?\nAnswer: -1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 13*q - 16. Let a(x) be the first derivative of x**3\/3 - 6*x**2 - 15*x + 1. Let w(l) = -5*a(l) + 4*n(l). Is w(8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 1.3, 41, 0.36, 0.4 in increasing order.\nAnswer: 0.36, 0.4, 1.3, 41, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 3. Suppose 4*y + 164 = 5*z, q*y = 5*y + 4*z - 122. Let a = 109 + y. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 27940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 661345580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*z - z = -305, 4*z + 105 = h. Suppose 4*s - 163 - h = 0. Suppose 0*y + s = 2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*24\/72*3\/1)\/((-2)\/88)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4247 and 5?\nAnswer: 21235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -6 + 26. Let x be 1\/6*2112\/88. Find the third derivative of -q**m - 3*q**x - 43*q**2 + 33*q**2 wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 294720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 515 - 203. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177743, -177234, -176385, -175196?\nAnswer: -173667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**2*z - 63*y**2 + y*z - 16*y + 14617*z + 53 wrt z?\nAnswer: -2*y**2 + y + 14617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 2. What is r(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/1540)\/((-30)\/(-150))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(204) + sqrt(204)*2*5)*-1)\/(-2*3*(sqrt(972) - -3*sqrt(972) - sqrt(972))).\nAnswer: -22*sqrt(17)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + a - 1. Let z be o(0). Let g = 36 - 33. Sort 5, z, g.\nAnswer: z, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 + 118.055. Let y = 0.455 - u. What is the closest to 0.2 in -0.2, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.85727 - -0.14273. Which is the third biggest value? (a) 3\/4 (b) w (c) 5\/3 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 51. Suppose -2702 = k*m - 581. Let f = m - -519. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 58. 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 value of 351\/(-9 + 0)*(-2)\/36 + -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-100)\/75)\/(3 - 1) + 34\/6. What is the closest to 1 in 2\/15, j, 0.1681?\nAnswer: 0.1681","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnnyddyyddydrir. What is prob of sequence gd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*h - 438*h + 8*h**2 + 1287*h - 419*h.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14012, -27960, -41916, -55880, -69852, -83832, -97820?\n\"Answer: -4*g**2 - 13936*g - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2, -2, -0.2, -11, -2\/9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8602 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 4:00 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Solve -3*n - 11 = -h*j - j, -5*j + n = -27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1459 and 0.87?\nAnswer: -1269.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4258, -8516, -12774, -17032?\n\"Answer: -4258*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1864814.\nAnswer: 2, 7, 133201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a = 1000*a - 2505 - 6144 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 270351, 5 in descending order.\nAnswer: 270351, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 - 2*q - 4. Let u be j(-4). Solve -l - u = -2*y - 3*l, 0 = -3*y + 3*l - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 6. Let r be u(9). Let c be (-2 - -11)*1\/r. Put 3, c, 0.2 in decreasing order.\nAnswer: 3, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000634986 rounded to seven decimal places?\nAnswer: -0.0000635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -175dc07 + 5?\nAnswer: -175dc02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - v = -3*w - 11, -3*w + 2*v = 1. Suppose -4*y + 6 = -2*y. Solve -w*z = -2*a - 2, y = 2*z - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/24112)\/(274\/3014)?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 103. Let q(n) = -3*n**3 + n**2 + 4*n + 2. Let u be q(f). Factor -28*o**u + 52*o**2 - 26*o**2 - 10 + 12*o.\nAnswer: -2*(o - 5)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 54*u = 740, 5*r - 4*u + 220 - 42 = 67 + 75 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -50. Let p = -36.975245 + -0.029655. Let s = p + d. Round s to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 55*r - 1545. What is m(27)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 7*q + 4. Solve w + 3*j = 2 - 3, -4*w + q*j = 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105746*v**4 + 5422*v**2 - 4*v wrt v?\nAnswer: 2537904*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-11) - (-175673080552)\/1012. What is b rounded to the nearest 1000000?\nAnswer: 174000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18193 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -213303012?\nAnswer: 213303011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 828\nAnswer: 1\/828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 - -19.16. Let q = -41 + u. Let m = q + 21.999. Round m to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*15\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -662 - -1019. Let y = i - 356.9999938. What is y rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179149.\nAnswer: 31, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1019\nAnswer: -101.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 17 = -g - v, -2*g - 3*v + 9 = 0. Let r(o) = 4*o - o**2 + 3*o**2 - 2*o. Let d be r(g). Calculate the highest common divisor of d and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -17*o + 20*o + 11 + 1. Let n be i(0). Is (-11686)\/(-18) + n\/(-54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/25024 and -73\/56304.\nAnswer: 225216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 151816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*w - 14, -3*o - 63*w = -69*w + 3. Let g(c) = -13*c**3 + 5*c**2 - 6*c + 4. Let m(p) = 13*p**3 - 6*p**2 + 7*p - 5. Determine o*g(k) - 4*m(k).\nAnswer: 13*k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 6*r**3 + 7*r**3 + 4*r. What is the lowest common multiple of 5 and v(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21185515 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 2*s**2 + 0*s**2)*(379 + 10 - 42).\nAnswer: -347*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -14*d - 158. Let x(f) = -11*f - 125. Let o(q) = 4*m(q) - 5*x(q). Let j(n) = -3*n - 14. Calculate 2*j(i) - 5*o(i).\nAnswer: -i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = -3. Let g(m) = -m**3 - 5*m**2 - 5*m - 3. What is the smallest common multiple of g(f) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5025 (base 6) to base 8\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1 - 3*x - 1 + 4. Let o(v) = -1 + 4*v - 1 - 6 + 3. Give 5*d(a) + 4*o(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.722182\nAnswer: -0.2166546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004941193 to seven dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 3*i**2 + 16*i + 9. Let f be b(3). Solve -4*w - 2*t - 3 = -3*w, 2*w = f*t - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.503 + 0.203. What is u rounded to one decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 35 = -14*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196558564 and 1.\nAnswer: 196558564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112.79 and -0.1.\nAnswer: -11.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -77. Let g be (58\/(-18) + 3)*12\/136. Is y >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -529668 divided by -4\nAnswer: 132417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*y + 47*r - 45*r - 118, -6*y + 5*y = 3*r + 49 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14850 divided by -11.\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182690, 182700, 182710, 182720, 182730?\nAnswer: 182740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1408 - 1392 = 4*u. Sort u, 0, 5, -5 in descending order.\nAnswer: 5, u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7560 (base 8) to base 4.\nAnswer: 331300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a9 - 11374a?\nAnswer: -113848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2334330 - -12513?\nAnswer: -2321413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z - 7 - 2*z + z**2 - 3*z. Let f = -1 - 4. What are the prime factors of l(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 31 = -73. Let h = -30 + f. Let n(v) = -2*v**3 - 8*v**2 - v + 4. List the prime factors of n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6361593 to the nearest 10000.\nAnswer: -6360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 20 = -2*w, 2*w - 3*w = n - 6. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7361 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 18\/8225 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + -3 - (1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 8 - 3. Suppose -12*z + c*z = -2. Let g(n) = n**3 + 7*n**2 - 20*n - 6. Calculate the least common multiple of g(-9) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 5. Calculate v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*o - 29, -33 = -4*o - 81*h + 84*h. Solve 0 = o*n + 13 - 31 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 0 (b) 50 (c) -20256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 86.298 times -0.5\nAnswer: -43.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -11. Suppose 0 = -b + 3*b - z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-828)\/(-54) + (-224)\/24?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -777, -4, 1, 2 in descending order.\nAnswer: 2, 1, -4, -777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5351290 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 33 = 5*y. Let p(s) = 18 + s**2 - 18*s + 24*s**2 + 10*s**3 - 7*s**3 - 7*s**2. Let v(a) = a**2 - a + 1. Determine y*v(q) - p(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-252)\/15*(-8400)\/3024)\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 101 = n, 0 = -4*n + 9 + 7. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -2\/57 (c) 1\/7 (d) -2 (e) 222\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let o(r) = -7097*r + 10. Give p(o(w)).\nAnswer: 7097*w - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-2 - (0 - -10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 + 85. Let s be a\/(-52) + 35\/(-4) - -3. Let m(t) = 71*t**2 + 7*t + 17. Is m(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -288 - -292. Suppose 2*u = -0*u + 36. Suppose -z = -4*k - k + 5, k = c*z - u. Which is smaller: z or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/4)*b*b\/b**(-11)*((b**(-1)*b*b)\/b)**(11\/7))**(-2\/49))**(-14\/13) assuming b is positive.\nAnswer: b**(57\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5116 divide 723192644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:55 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/6 + (-16)\/(-24). Let p be (-1)\/(-1) + s\/(-35) - 0. Find h such that -p - 2\/7*h**2 + 8\/7*h = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/5 and -43\/346290.\nAnswer: 346290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(sqrt(84) + -2*sqrt(84)*5 - sqrt(84) - 3*(sqrt(84) - sqrt(84)*2))\/(sqrt(540)\/sqrt(5) - sqrt(384)\/sqrt(2)))**2.\nAnswer: 5493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81906 or -81905?\nAnswer: -81905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8)*(-60)\/(-18). Let w = 22 + -17. Suppose 2*z - 17 = -w*n, 0*z + 4*n - 28 = 2*z. Is c < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19704139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -65*(-10)\/26*4\/5\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.154 times 1531024\nAnswer: 235777.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {o: 1, j: 1, h: 9, s: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwcccwwwwcwc. What is prob of picking 1 w and 2 c?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24621 divided by 3.\nAnswer: 8207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q. Let x(g) = 224*g. What is c(x(j))?\nAnswer: -2688*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2 + h**2 - 30*h + 34*h - 7. Give z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s - 19*s - 3 + 3.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32393323 a multiple of 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 368 and 7130?\nAnswer: 57040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -12*h + 8. Suppose -4*p + 5*z - z = 4, -3*p + 5*z - 9 = 0. Suppose p*a - 10 = 0, -y + 0 = 3*a - 11. What are the prime factors of w(y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d91 (base 14) in base 6?\nAnswer: -20215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*s + 16, 10607*s - 10568*s + 80 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) -13 (b) 3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/20 - 55*l**4\/4 + 108*l**3 + 147*l**2. Factor p(h).\nAnswer: 3*(h - 108)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*(-27)\/36?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 26 = 2*p - 6, -3*p - 3*y + 66 = 0. Let k = p + -5. Let q = k + -2. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from khikikikiik.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -645 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 16*a**2 + 17*a. Let l = 106 - -12. Suppose -5*r + l = -3*d + 24, -4*d + 22 = 2*r. Let x be g(r). Solve x - 20 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2. Let v(i) = -3194*i**2. Give s(v(w)).\nAnswer: -30604908*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-3 - -1) + -18 + 33\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:47 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -264, -699, -1338, -2181?\n\"Answer: -102*p**2 + 75*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2448 and 4182?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 + 4*f**2)*(10*f - 3*f + 12*f - 3 + 3 + 2*f + (6 - 1 - 3)*(4 - 4 + 2*f) + 4*f - 6*f + 7*f + 4*f - 3*f - 4*f).\nAnswer: 108*f**3 - 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387280536.\nAnswer: 2, 3, 17, 353, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -373\/30 - -25\/2. Let r(c) be the first derivative of -1\/15*c**3 - 1\/5*c**5 + k*c**6 + 2 + 0*c**2 + 0*c + 1\/5*c**4. Factor r(v).\nAnswer: v**2*(v - 1)**2*(2*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 + 157 - 12*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*q - n, 4*q + 7*n = 2*n - 17. Let x(z) be the third derivative of z**5\/60 + 5*z**4\/24 - 11*z**3\/6 + 2*z**2 + 521. Give x(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**5 + 0*m**3 + 13\/12*m**4 + 0*m**7 - 5\/28*m**8 + 0*m**2 - 16*m + 0*m**6 + 0. What is the third derivative of w(q) wrt q?\nAnswer: -1200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -12. Let a(w) = w**2 - 7*w + 10. Let r be a(p). What is the units digit of (r\/21)\/((-2)\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 - 5860*t**4 + 155790*t**3 - 1394820*t**2 + 4173525*t.\nAnswer: 5*t*(t - 1145)*(t - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:46 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291827 and 1735.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*s + 21 = 0, i - 5*s - 9 = 3. Is -3 + i + 87 - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + -61 + (-6 - (2 - 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-16))\/(24\/64).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187878\/13 + -14452. Which is the nearest to -2\/5? (a) -4 (b) 0.1 (c) y (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbr when three letters picked without replacement from jbfnr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 - (1 - (5 - 12 - -10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1088)*-1 - sqrt(1088) - sqrt(1088) - (sqrt(1088) + sqrt(1088) + (sqrt(1088) - 6*sqrt(1088)*1 - sqrt(1088)) + sqrt(1088)))**2.\nAnswer: 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -134d5?\nAnswer: 134d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537.0027 kilometers to millimeters.\nAnswer: 537002700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/115580 and 89\/20.\nAnswer: 115580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7*w. Suppose -4*d - d + 145 = w. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3690468?\nAnswer: 2, 3, 34171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7398122315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4136, -8274, -12412, -16550?\nAnswer: -20688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.03, 2.\nAnswer: 0.03, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgpp when four letters picked without replacement from pgpxjggjxxxxjxgjxj?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52810556 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 269 - 3*d**2 + 486*d**3 - 814 + 3*d**2 wrt d?\nAnswer: 1458*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 15*b**2 - 15*b - 12. Let m be r(-14). Suppose -i + 37 = w - 0, -5*w + 77 = m*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/5, 3, -27\/7 in increasing order.\nAnswer: -27\/7, -3, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 10*g**2 - 9*g + 5. Give q(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*45\/2550*-17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*z + 6935 - 12050 = 63*z for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -69*s**3 + s**2 + 8*s + 6. Let p be m(-1). Solve 0 = 17*h + p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1899\/(-1055)*((-2 - -4) + -7). What is the highest common factor of 1359 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -298540 by 74635.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxnj when four letters picked without replacement from pgjggnpnjpxjgggppxw?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqcr. Give prob of picking 1 c, 1 q, and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4723 = -61*g - 34*g - 3257 for g.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 6*h + 4. Let c be k(-3). Solve x + 4 = -1, -16 = 2*q + c*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -61. What is the nearest to d in 6, -0.2, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.213 - -0.287. What is the closest to -1 in r, 4\/7, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4 + 6*a**3 - 2*a**2 - 6*a = 0. Calculate a.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - -1b86?\nAnswer: 1b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 + 875*k**3 + 3021*k**2 - 7388*k - 4340 = 0. What is k?\nAnswer: -434, -5, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568*y + 539*y + 138742873 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 + 4*f**3 + 700*f - 720*f - 12 - 3*f**2 = 0. Calculate f.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 34. What is the tens digit of 173\/5 + v\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/19)\/w**(1\/8)*w\/w**(-3\/10)*w**(2\/7) assuming w is positive.\nAnswer: w**(7211\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**9)\/(z**(-1\/4)*z*z))\/(z**(2\/5))**(1\/36) assuming z is positive.\nAnswer: z**(-1757\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.9377039 to one decimal place.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.2, 0.6, -73, 1255 in ascending order.\nAnswer: -73, 0.2, 0.6, 2\/3, 1255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2500 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 3*l**4 - l**2 + 3*l**2 - 2*l**2 - l to w + k*l**4 + f*l + h*l**3 + g*l**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*k + 4*a + 89, 4*k = 3*a + 73. Suppose 16 = w - 14. What is the remainder when w is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 105.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + k + (4 - 2 - 4)*(-4 + 4 + k) - 3*k - 1 + 1 + (-3 + 4 + 1)*(k - 3*k + 3*k) + 2*k + 0*k + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttovvovt. What is prob of picking 3 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gigrmmimii. Give prob of picking 1 m, 1 g, and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 498881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + 10*j**2 - 8*j + 1. Let f be t(4). Is (-1559)\/(6\/(-4) + f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85 - (-40945)\/(-475))*14\/(-18)\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d + 2 = 0, -4*d = -2*t. What are the prime factors of 728\/35 - t\/10?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 1, m: 3, y: 1, d: 1}. What is prob of sequence dwwm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1)*-3*2778714\/(-3). Suppose 6*a - 111821286 = q. What is a rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4, 3244058?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -73*g. Let b be k(2). Let s be b - (-1 + 3 + -4). Let x = -80 - s. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -289 + 564. Suppose 2*o = 7*o - q. Suppose -5*p + 25 = -o. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 404 - 3a47?\nAnswer: -3643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0517 and -1.41245?\nAnswer: 1.46415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2603 and 15067?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z + 5. Let t be q(4). Suppose -33*h + 418 = -275. Let b be 6\/h + (-14)\/t. Solve -3*j + j = b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*o**2 - 22*o**2 + 46*o**2 - o**2 - 2*o**2 - o**2 + (0*o - o + 2*o)*(o + 2*o - o).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11463\/11 - -1043. Let o be -19 - ((-1582)\/77 + 1). Solve o*g - 4\/11 + k*g**2 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.778587 to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/54*-6)\/(5\/(-15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 14929510?\nAnswer: 343378730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (398*3 - 1). Let t = g + 2995. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -286\/149 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, a: 5, d: 1, b: 1}. What is prob of sequence bd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673 a factor of 123971304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1492*g**3 + 911*g**2 - 15511 + 15511 wrt g.\nAnswer: 8952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2 - 2*o - 2. Let b be (-32)\/(-14) + 4\/(-14). Let p(q) = -10*q**b + 7*q**2 - q**2. Calculate v(p(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 0*u**2 + 0*u + 1\/6*u**4 + 2 + 0*u**3 - 1\/15*u**5. Find i, given that k(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u*x**2 + 126*u + 2*x**2 + 36 with respect to u.\nAnswer: -x**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 19*y**3 - 12*y**2 + 104*y + 119. Let q(n) = -7*n**3 + 4*n**2 - 36*n - 39. Let d(c) = 4*k(c) + 11*q(c). Calculate d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 20*q + 66. Let a(t) = -4*t + 35. Let u(o) = -5*a(o) + 3*d(o). Calculate u(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 20*i**2 + 18*i - 62. Let y be x(20). Let d = -0.239 + 0.139. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (63\/(-84))\/((-6)\/16). Let u(z) be the second derivative of 1\/6*z**4 + 0 - z**a + 1\/20*z**5 + 4*z - 1\/6*z**3. Solve u(h) = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q + 4. List the prime factors of w(-7).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z**2 - 129*z + 4. List the prime factors of w(-10).\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o + 4. Suppose 7 = 5*i - o*z + z, i - z = 2. What is the units digit of 8 + (0\/(-1))\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29154338867246 + -0.05\nAnswer: 29154338867245.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 8*a = 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*2.56693.\nAnswer: -6.930711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269394 is divided by 1505?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2 - 0. Let o(i) = -32*i - 48. Let r = -283 + 281. Let u be o(r). What is the highest common factor of x and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123043310 - 1?\nAnswer: -123043311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8305 - -0.86387. Round z to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, -26\/5, -0.8194?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 49033.4 to the nearest one hundred.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1098 - 737. Suppose s = 4*g - 55. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 + 4*n - 1. Determine u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1161 = 3*p - 6*p. Let n(c) = 100*c - 8357. Let q be n(84). Calculate the highest common factor of q and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79836378 to the nearest integer?\nAnswer: 8935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/65 + 778\/13. Calculate the greatest common divisor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -21. Let n be (-338)\/(-6) + 19\/(-57). Let b be (n\/84)\/(g\/57). Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 7, 2 in decreasing order.\nAnswer: 74, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-15) + 3)\/(1\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -6*g + 25. Which is bigger: g or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 + 21*b**2 + 3*b\/2 - 21.\nAnswer: -3*(b - 14)*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.30785 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k + 70 = 29*k. Suppose 3*j - 2*g = -0*g - 40, 4*j + 4*g = -60. Let n = k + j. Solve -2*v = -n - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71888?\nAnswer: 2, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fifi when four letters picked without replacement from iiiiffiiiffiiiiiiii?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-14) - 4\/14. Let w be (12\/9)\/2*u. Let g be 2\/(-3) + 1\/3. Which is the closest to 0.1? (a) g (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**3 - 3*a**2 - 3. Let g(k) = 4 - 5*k**3 + 1769*k + 4*k**2 - 1769*k. Let y be -1*((-7)\/(56\/(-40)) + -1). What is y*c(d) - 3*g(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = 1. Let f(c) = 3 - 6*c - p*c**2 - c**2 + 4*c**2 + 0*c**2. Determine f(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -171 and -34.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + (-1 - (1 + 9)) - (948176 + -948216).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((135\/(-27))\/15)\/((-1)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -648025 or -7128262\/11?\nAnswer: -7128262\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24401, 98052, 220801, 392648, 613593, 883636?\nAnswer: 1202777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3 + 33*j**2 - 135*j - 1701 = 0. What is j?\nAnswer: -9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*u**2 + 2582924*u - 2582924*u.\nAnswer: 145*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 648\/4*(-4)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 5*k**3 + k + 49*k**2 - 51*k**2. Let b be d(-1). Solve -4*w - w + 5*j + 20 = 0, b*j - 8 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7560.5163 + 7561. Round s to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13cd326 (base 14) to base 15\nAnswer: ca65b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 5*j**2 - 3*j - 1. Let k be g(-2). Calculate the common denominator of 4\/10*(-62)\/(-40) and 2\/(10*k\/58).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1458 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21742\/3 + -7247. Let l(n) be the second derivative of 0 - 16*n + 0*n**2 + d*n**3. Let r(i) = 55*i. Give r(l(o)).\nAnswer: 110*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -98433549 divided by 1215229?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -1, -3, 0, -1554 in decreasing order.\nAnswer: 108, 0, -1, -3, -1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from iohoy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 577 = -2*d, -3*d = 2*m - 5*m - 876. List the prime factors of d.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 32. Let i(f) = f + 64. Let g(d) = 4*i(d) - 7*y(d). What is the lowest common multiple of 8 and g(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1382 (base 12) to base 16.\nAnswer: 8d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*j - 2965, -4*o + 3*j - 2673 = -301. Let s = -554 - o. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-5) + 4\/20. Suppose 3*t - 163 = -f, -2*t - k = 3. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/20610717 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 - 38*l - 32. Determine i(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6549380.\nAnswer: 1\/1637345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -0.2 (c) 4 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-30) - 23715\/340*(-4)\/(-210)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.93 - -11.23. Which is the closest to w? (a) -3 (b) 3 (c) 0.2 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a + 1. Let z(k) = 25 - 3*k + 4*k + 2*k - 26 - 6*k. Give 5*f(n) + 6*z(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(147)*1))**2.\nAnswer: -2016*sqrt(3) + 5868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -0.96. Let v = -103 - -102.812. Let x = k + v. What is x rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1097, 2, -3 in increasing order.\nAnswer: -3, 2, 1097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 75484 divided by 851\nAnswer: 75484\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1776, 1, 77, 2 in increasing order.\nAnswer: -1776, 1, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/42)\/((-9)\/(63\/2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -25. Suppose -3*o + 10*o - 28 = y. Suppose 6 + 2 = o*p + 2*j, 3*p - 4*j = -16. Is -4\/19 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 9*j**2 - j + 3. Let f be n(-9). Suppose 3*t = 4*t - f. What is the least common multiple of t and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74875, 75509, 76143, 76777, 77411?\n\"Answer: 634*o + 74241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3055*o - 74468 = -7673 + 9580 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 - 2898*c\/5 + 189677\/5.\nAnswer: (c - 2831)*(c - 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21641, -21306, -20969, -20630, -20289, -19946, -19601?\nAnswer: -19254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.84 + 6.84. What is the second biggest value in 0.13, w, -6\/7?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g - 8. Let j(m) = -2*m**2 - 19*m - 18. Let u be j(-9). Let t(b) = -b + 2. Calculate u*t(l) - 2*a(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from ysgnp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, 2\/9, 4, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 0*k - 7*k + 139 - 145. Give q(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70096 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102122948?\nAnswer: 2, 19, 1343723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9763 = -1834*s + 11856 + 65765 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + (16 - 4 - 11) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/(-132))\/(11\/4). Let n be 27\/(-44) + 2\/8. Let x = h - n. Sort -4, x, 1 in descending order.\nAnswer: 1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 0 (c) 2\/13 (d) -16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -1)\/((-10)\/50). Solve 0 = -12*f + q*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4189?\nAnswer: 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**2 + 11*j**2 + j**2 + 5*j**2. Let q(y) = -3*y. Determine q(d(u)).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6704 + -23.6704. Which is the fourth smallest value? (a) 2\/3 (b) 1 (c) -2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/820*-41)\/(48\/10)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1999980.223 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -41*b + 86. What is the remainder when 270 is divided by g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - r - 4. Let i be 2 + (-1 - (-8)\/4). Let z be o(i). Suppose -z*l = l. Is l bigger than -7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 1:09 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 707\/476991 or -1?\nAnswer: 707\/476991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.88476 milligrams in tonnes?\nAnswer: 0.00000000888476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -2, -197, 7, 52 in decreasing order.\nAnswer: 52, 7, 1, -2, -5, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 132*c - 1. What is the tens digit of s(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002748235 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -91aa683 - 2?\nAnswer: -91aa685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 130282, 130223, 130170, 130123, 130082, 130047?\n\"Answer: 3*h**2 - 68*h + 130347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149884, -149882, -149880, -149878, -149876?\nAnswer: -149874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 + f**2 - f**2 as q + p*f + g*f**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*k - 2*u - 22, -24 = -4*k + 5*u. Solve -k*f - 2 = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/42 + 123\/105*-31. Let w = 40 + f. Calculate the common denominator of w and -22\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 5638 + 5533 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*j + 15936 = -76*j. Suppose -37*k - 5324 = -41*k - 2*t, 4*k - j = 4*t. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*s - 39 = 0, -w + 4*s - 167 = 2*w. Let l be (-6*6\/72)\/(1\/66). Let v = l - w. Calculate the remainder when 76 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*w - 35*z + 28*z, -4*z + 32 = -4*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1365\/898?\nAnswer: -1365\/898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19737\/(-101439) + (-2)\/(-17)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 95724 (b) -212 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 15) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*d**3\/7 + 1017*d**2\/7 + 22200*d\/7 - 870000\/7 = 0. Calculate d.\nAnswer: -29, 100\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6691, -6692, -6693, -6694, -6695?\nAnswer: -6696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 14, n: 1}. What is prob of picking 1 n and 2 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, i: 2, v: 1, j: 3}. What is prob of picking 1 i and 1 v?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/6)\/(-5)*4\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*s - 24 = 0, 12 = 3*i - 4*s + 1. Let v be (-18 - -4)*i\/6. Solve 0 = 4*l - v*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r - 22*r + 4. Let a = 38 - 22. Let j = 34 - a. What is the smallest common multiple of j and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**6\/12 + 27*z**5\/5 - 243*z**4\/2 + 972*z**3 - 74. Factor l(i).\nAnswer: -i**2*(i - 18)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:23 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068010?\nAnswer: 2, 5, 106801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-10)\/(j**3\/j) assuming j is positive.\nAnswer: j**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:50 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p + 100 = 0. Let u = 26 - p. Let j(n) = n**2 + u - 342*n + 342*n. Let a(l) = -2*l**2 - 13. Calculate -6*a(r) - 13*j(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*c - 185*c - 32595 = 9190 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Suppose -a - x = -16. Let y be 7\/(-1)*a\/(-14). What is the greatest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 4*j**2 + 4*j - 7. Let x = 103 - 103. Let r be (-38 + 39)*(x + -5). What is d(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524 + 8*l**2 - 11*l**2 - 524.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11980 (base 15) to base 8.\nAnswer: 155521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2482455 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.173 + 150.827. Let w = s - 151.73. Let o = -0.33 - w. Which is the nearest to 1\/3? (a) 2\/3 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/7920 and 143\/108?\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2457\/(-21))\/((-27)\/4*514\/2313)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*1 + (2 - 9 - -10). Let a be ((-4)\/k)\/(3\/((-126)\/4)). Solve -10 = -5*d + a*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*1)\/(6\/(-12)). Let z be (2\/(-3))\/(6\/(-45)). Suppose z = -x*v + 7*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {w: 4, a: 1, r: 7, q: 4, x: 3, o: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d**2 - 747*d - 235. Give p(75).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x - 1. Let g be u(-3). Suppose 0 = o - 4*c - 7, g*o + 5*c - 4 = 2*o. Solve o*k - 3 + 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -1, 12, -3, 116, -21 in decreasing order.\nAnswer: 116, 41, 12, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*b + a - 10 = 700*b, 7*b = -4*a + 38 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(686) - (sqrt(686)*-1 + sqrt(686) - sqrt(686) - sqrt(686))) + sqrt(686) + sqrt(126)*2)\/((sqrt(1152) + sqrt(32))*-3).\nAnswer: -17*sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/c)**(-2\/117) assuming c is positive.\nAnswer: c**(10\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*f = 37, -28*z + 3*f + 27 = -31*z. Let j = -3 + 4. What is the closest to j in 7, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/49 in 0.07, -0.2, 1\/3, 34, 3\/5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54 - b?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 29. Suppose i*j = 0, -3*j = -0*m - m + 229. List the prime factors of m.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(2\/15))*a)\/a**(-4))\/(a*a\/(a**(1\/12)\/a)*a**(-5)))**(-10\/3) assuming a is positive.\nAnswer: a**(-433\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 738 - 1?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 1137*l + 63077. What is c(53)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + y**2 + (3*y - 4*y + 2*y)*(2*y + 5*y - 5*y))*(0 - 6 + 1).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 206 and 0.2.\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 5*w - 23, -3*t - 8*w + 5*w + 3 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10\/17 + -67\/85. Is -0.09 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-40)*-6)\/((-7)\/(140\/(-24))).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 + 193*l - l**3 - 192*l - 5 + 7*l**2 + 17 - 15*l**2 to the form j*l**2 + r + k*l + w*l**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3306721?\nAnswer: 11, 17, 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/20 + 11*p**4\/12 + 2*p**2 + 6*p. Let o be f(11). Let m be o\/(-8)*(-1 - -1). Sort 3, m, 1 in descending order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550010 divided by -1?\nAnswer: -550010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 6*h**2 - 4*h + 2. Let j be l(-2). Let t be 3\/4 - j\/(-8). What is the highest common factor of 22 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 2:29 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 1063 - (-4)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (76\/190)\/(2\/85). Suppose -w*j + 25*j = 96. Suppose 0 = -5*v - 5*g + 235, 3*g = v - 2*v + 45. What is the greatest common factor of j and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-602)\/(-1806)*(1 - -861656) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 28*z**2 + 9*z - 9. Let s(c) = 7*c**2 + 2*c - 2. Give 9*s(k) - 2*u(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 2549. Let s(b) = -31339*b. Give s(i(m)).\nAnswer: -31339*m + 79883111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2\/(2\/2)). Suppose r = -t - t. Let o be (t - (1 + -2)) + 14. Solve -3*b = -2*u - 3, -4*b - 2*u = -o - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 2*m, -5*m + 10*m = 3*t - 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - g**4 + 2 + (g - g + 2*g**3)*(2 - 2 - 2*g) - 25*g**4 - 23*g**4 + 7*g**4 + (-g**4 + 4*g**4 + 0*g**4)*(-6 - 4 + 4).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -15*w - 51. Let h be (-1)\/((-10)\/(-4) + -2). Let l(s) = -3*s - 10. Let z(t) = h*g(t) + 11*l(t). What are the prime factors of z(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4617 and 2787129.\nAnswer: 8361387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + -11. Let r = -0.073 + 14.623. Let i = r + k. What is i rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + -0.03. Let m = -3215\/4 + 803. Sort 1, r, m, 0.1 in decreasing order.\nAnswer: 1, 0.1, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-10) + (3 - (1 - -4))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -138*v**3 + 4*v**2 - 4*v + 3. Let y(r) = 415*r**3 - 11*r**2 + 11*r - 8. Let x(o) = 11*g(o) + 4*y(o). Is x(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 746*g - 248. Does 8 divide t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -17 + (-140 - -144) + (5 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6524.936nm to centimeters.\nAnswer: 0.0006524936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 65 = -2*r - 255, 2*m + 3*r - 209 = 0. Suppose 2*w = 14 + m. Let a(q) = -24*q**3. Let i be a(-1). What is the highest common divisor of w and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 + 11 = -3*l, -12 = -t + 4*l. Suppose 0 = -5*r + r + t. Suppose 0*o + 5*s + 52 = 2*o, 3*s = -r*o + 68. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 1. Calculate the remainder when i(-10) is divided by ((-22)\/(-5))\/((-2)\/(-30)) + 2.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -37*l**8\/48 + l**4\/24 + l**3\/2 - 327*l**2. What is the second derivative of g(r) wrt r?\nAnswer: -5180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 12:36 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 108*m + 220. Let t be j(2). Solve 8*r + 75 - 51 = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*u**3 - 86679 + 4*u + 173364 - 86684 + u**2 - u**2 - 3*u.\nAnswer: -150*u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 3 (b) 2\/11 (c) 12 (d) 2\/179 (e) 3.85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 11*v**2 - 1. Let h be w(-1). Suppose h*f - 9 = f. What is the tens digit of 112\/(-28) + f*127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 5, o: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16080 + -15737. Let q(l) = -l**3 - 3*l**2 + 3*l + 8. Let r be q(-6). Calculate the greatest common factor of r and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2757729.\nAnswer: 3, 13, 31, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4\/9 (c) -1\/5 (d) 15 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 - 3125201?\nAnswer: -3125110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(3*-1) - (-33 - -7 - 3198). Which is smaller: 3229 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:25 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29328 by -339.\nAnswer: 9776\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 2. Let w be y(3). Suppose w = 4*o - 47. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10011, -20006, -29991, -39960, -49907?\nAnswer: -59826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrhurruuuyhuuhhr. Give prob of sequence yru.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - 15. Determine d(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let g be 62\/(-10) - 3\/(-15). Let z(a) = 27*a. Let y(k) = -13*k. Let p(m) = g*z(m) - 13*y(m). Determine o(p(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**3 - b**2\/2 + b - 18718. Suppose -4*m - 3*z - 5 = -0*m, 0 = -2*m - 3*z - 1. Determine w(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4645219 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 238033 = -a - 3*a, -a - 5*w = -59494. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70098811*s**4 - 149471219.\nAnswer: -280395244*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.399\nAnswer: 0.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19980 - 19675. Calculate the remainder when n is divided by 69.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138184 is divided by 34544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 - 4*b**2\/5 + b\/5.\nAnswer: b*(b - 1)*(3*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12*f*f**(-1\/5))\/(f**2\/f*f)**(15\/7) assuming f is positive.\nAnswer: f**(298\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((-19)\/(-114)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895387 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13327 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-216)\/(-45))\/(-12))\/(16\/(-100))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 - (-5 + 5)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-24)\/52 - 488\/(-832).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -48.9. Let w = f - 2.9. Which is the nearest to 2\/7? (a) w (b) 0.6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 842, 649, 128, -883, -2546, -5023, -8476?\nAnswer: -13067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1991.1106 + 3.2106. Let a = p - -1869. Let z = a - -126. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183.6346 - -175.634624. Let i = 5 - -3. Let d = i + j. Round d to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.24 + -0.64. Let v = -1 + 3. Sort v, 1, k in descending order.\nAnswer: v, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 0*(-2 - -1). Let h = -1 - y. Suppose 18*j - 15 = 3*j. Calculate the remainder when h is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -4 in ascending order.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10511 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21814 is divided by 2419?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 126378.03?\nAnswer: 126376.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990 a factor of 4744605760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - 5*(sqrt(121) + -4*sqrt(121))))\/(sqrt(44)\/(sqrt(8)\/sqrt(2) + sqrt(4))).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -786 + 6*i + 205 + 271 + 223 + 33*i as h*i + o and give h.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.41 - -19. Let l = 0.35 - m. Let j = -0.729 + l. Round j to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6454619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -107 (c) 2\/45 (d) -3\/4 (e) -2 (f) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 + 4*t**4 + 4*t**4 + (2*t - 4*t + 0*t)*(34*t**3 + 59*t**3 - 25*t**3) as p*t**2 + a*t**3 + c + y*t + n*t**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 4*p - p + 15 - 14*p.\nAnswer: -4*p + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(484) - (sqrt(484) - 1*sqrt(484) - sqrt(484))) + (sqrt(65) + (sqrt(65) - (sqrt(65) - -3*sqrt(65))*2))\/sqrt(5).\nAnswer: -131*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1.9. Let x = -6637 - -6635. What is the nearest to x in 5, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 8 = -4*k - g, 5*g = 0. Let d(t) = 6 - 6*t - 2*t**2 + 3*t**k + 5*t**2 + 9*t**3 - 10*t**3. Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440358423 divided by -37.\nAnswer: 11901579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 287 times -1.26\nAnswer: -361.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 924703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-480)\/(-1000))\/((-9)\/5)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1106355 + 65?\nAnswer: -1106260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -8*n - 18*n + 2640. Calculate the remainder when n is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65708353375*z - 65708353375*z + 144*z**2.\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 229225 to the power of 1\/2, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 52, 52383, -3 in descending order.\nAnswer: 52383, 52, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 3*v - 1. Let h(g) = 4*g**3 - g**2. Let x be h(-1). Calculate j(x).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8.0000141. Round b to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 230, 373, 554, 785?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - 2*i**3 + 4*i**3)*(3*i**2 - i**2 + i**2) + 49*i**5 - 2870*i + 2870*i + (-2*i + 0 + 0)*(i**4 + 2*i**4 - 5*i**4).\nAnswer: 56*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 5*v - 7. Let p(g) = -25*g**2 + 60*g + 85. Let j(o) = -35*f(o) - 3*p(o). Factor j(m).\nAnswer: 5*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2406.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2608403475.32 + -32.7\nAnswer: 2608403442.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 d when four letters picked without replacement from {m: 2, w: 1, y: 4, d: 1, k: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:19 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11110 - -2210?\nAnswer: 13320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwsjrjrpjswa. Give prob of picking 1 a, 1 w, and 1 j.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161609 divided by 154?\nAnswer: -1161609\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, -58, -450, -1000?\nAnswer: -1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - -11.07. Let u = 50 + -22. Let a = -27 + u. Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -403, -913, -1627, -2545, -3667?\nAnswer: -4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, 4\/7, 0, 16.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39099265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86618678 by 2.\nAnswer: 43309339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddadaddmamram. What is prob of sequence ar?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 6 (b) 0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/2 - (-4 + 3). Suppose -46 = -0*v - q*v. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*h**3 + 97*h**3 - 164*h**3 + 123*h.\nAnswer: -464*h**3 + 123*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + (-9)\/(-18)*1922. Let d = m + -920. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1114702*d**4 + 27*d**2 + 5*d - 689?\nAnswer: -26752848*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*k - 34125*i**2 + i*k - 558*k wrt k.\nAnswer: i**2 + i - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2010 = 2105*m - 1971*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45407823.\nAnswer: 3, 29, 521929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44171122?\nAnswer: 2, 1447, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 626 - 186. What is the greatest common factor of 120 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 70. Suppose r = 3*c + a + 6, -2*r - 4*c = -128. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/67)\/(v**(-3\/5)*v))\/(v**(-1\/14)*(v\/v**37)\/v) assuming v is positive.\nAnswer: v**(171849\/4690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40656 and 3828.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 277?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 233363895*d + 203640640?\nAnswer: 233363895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 16 - 56 = 0. Let a = 31 + -12. Let t = a + z. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-21)*b*b\/(b**(-10)*b) assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n. Let t(u) = -u**2 - 2*u - 2. Let y(d) = 2*d**2 + 3*d + 3. Let s(b) = 6*t(b) + 4*y(b). What is s(l(k))?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328615530*a**2 + 328615531*a**2 - 657231051*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/30 + (-19)\/38. Let k = -5.1 - -0.1. Let o = -8 - k. Sort -5, o, f in descending order.\nAnswer: f, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 9 = -2*b - 5*d, 3*d + 5 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150131357 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + 0.2. Which is the second biggest value? (a) x (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18931, -19099, -19357, -19705, -20143, -20671, -21289?\n\"Answer: -45*f**2 - 33*f - 18853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -453636765.3431 - -453638796.343100991. Let b = y + -2031. Round b to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 + 4*i**3 + 4*i**3 + 6*i**3 - 10*i**3 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25904077 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 603 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0 - 6*c**2 + 13\/6*c**3 + 7\/12*c**4 - 13*c + 1\/60*c**5. Find y such that t(y) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1408 and 81224.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*k - 29*k - 21*k + 97*k + 1 in the form c*k + v and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6577 + 6578.0106. Let o = -0.0106 + t. Let l = -1 - -3. What is the third smallest value in o, -0.4, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-4) - (-6)\/4. Suppose 0 = 5*b - 0*c - 5*c - 25, 0 = 5*b + o*c - 7. Let -16*u**b - 4 - 70*u + 7*u**4 + 86*u - 2*u**2 - u**2 = 0. What is u?\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*l**3 - 5*l**2 - 10*l = 0.\nAnswer: -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -592281, -1184586, -1776895, -2369208, -2961525, -3553846, -4146171?\nAnswer: -4738500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*t**2 + 414*t - 945.\nAnswer: -3*(t - 3)*(11*t - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 29.2104*0.09\nAnswer: 2.628936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 24714 + 24540 + b**2 - 5*b in the form m*b**2 + v*b + d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 15 - (-21 + 9).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*k + 23, -5*u + k = -5 - 4. Let l = 80 - 81. Which is the third smallest value? (a) 3 (b) 1\/3 (c) u (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(5) + 1 + 2 + sqrt(5) + 1 - (2 + sqrt(25)\/sqrt(5) - sqrt(5) - 4*(-2*sqrt(5) + sqrt(5))))**2 + 5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -47. Put -35, h, -5, -4 in decreasing order.\nAnswer: h, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813903511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 2*n**2 + 0*n**2)*(-2 - 3*n**2 + 9*n**2 - 7*n**2) + (2*n**3 - 4*n**3 + 4*n**3)*(2 - 2*n - 2) + n**4 - 2*n**2 + 2*n**2.\nAnswer: -5*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5356 divided by -52\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*y + 279*y = 403 + 1401 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**3 - 59*k**2 - 230*k - 160. Let x(z) = 190*z**3 - 1590*z**2 - 6210*z - 4320. Let u(y) = -55*f(y) + 2*x(y). Find v such that u(v) = 0.\nAnswer: -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1164673 and -101\/4658692?\nAnswer: 4658692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91959519 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -32*h - 8. Let i(m) = -m**2 + 7*m. Let x be i(6). Let b be v(x). Round b to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 4*f - 4. Suppose -f*w = 4*r - 2, -w - 3*w = -4*r + 8. Find the common denominator of 19\/2 and (w + -1)*93\/(-60).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = -0*v. Suppose -v = 2*s + 29. Let w be -1*s\/14 - 2. Is -1 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - q - 6. Suppose 0 = p - 4*v - 146, -q*p + 248 = 3*v - 220. Calculate the greatest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.699944. Round v to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2003, -3897, -5795, -7697, -9603, -11513?\n\"Answer: -2*z**2 - 1888*z - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12702 and 0.11.\nAnswer: -1397.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 417 and 3846?\nAnswer: 534594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 148. Calculate the least common multiple of f and 2.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 13*r - 13. Let m be o(16). Let p = 58 + m. Let w be p*(12\/(-6) - (-2)\/3). Solve 0 = -w*h + t - 9, -h - 4*t - 5 - 10 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q - 10. Let u = 755 - 769. What is d(u)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(0 + -3 + (-4)\/(-2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.6 + -961.\nAnswer: -943.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.07117 millennia?\nAnswer: 24854.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2307248 tonnes to nanograms.\nAnswer: 230724800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**4\/3 + 88*q**3\/3 - 188*q**2 + 880*q\/3 - 400\/3 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {e: 2, h: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83274302 a multiple of 4953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 231104792 less than -12416.2?\nAnswer: -231117208.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 7*p + 1 - 3*p. Let n(a) = 19. Let x(l) = -l - 54. Let h(i) = 17*n(i) + 6*x(i). Calculate 6*h(o) + 5*y(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (17 - 9 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -161\/9. Let u = 5\/36 + b. Let i be 4\/(-8) + 6 + -6. What is the third biggest value in u, i, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 - 253*k**2 + 13*k + 81. Is t(64) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2369 + 13769 = 10*l. What is l rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*u - 27682, -74*u + h + 6920 = -73*u. List the prime factors of u.\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110820 is divided by 4443.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 9*g + 3. Let x be -2 + 6 + (0 - -5). Let z be c(x). Suppose -3 = -z*u, a - 3*u = -2*u + 19. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65996.\nAnswer: 2, 7, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1764 = f + 2*f + i, -2*f + i + 1171 = 0. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 5*k + 10 + 4*k. Let v be (-5 + 8 - -2) + 0. Let r be h(v). Which is the biggest value? (a) r (b) 1\/6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13696 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23481587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 126.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*h + 69 = 0, 5*d - 30 = 4*h + 27. What is the remainder when 41 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2053111 - -132555?\nAnswer: -1520112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10330196 or 10330197?\nAnswer: 10330197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/(-5) + (46\/2)\/((-4)\/(-1220))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -21444?\nAnswer: 2144a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*z + 324 = 127*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41\/10 - 53\/10. What is the fourth smallest value in f, 4, -3, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*g**3*x**3 + 3862*g**3 - 198*g*x**3 wrt x?\nAnswer: 72*g**3*x**2 - 594*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p**2 - 31*p**2 + 16*p + 14*p**2 in the form f*p + n + v*p**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 55*u - 4 - 17*u.\nAnswer: -72*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1158*m**2 - 2*m**3 + 680*m**2 + 1161*m**2 to the form q*m**3 + p + s*m**2 + b*m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m*m*m\/(m\/(m**(4\/9)*m*m))*m*m*m)))**(-17)*m**12*(m*m**19*m)\/m assuming m is positive.\nAnswer: m**(-1004\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178*z**4 - 45*z**4 - 594*z**2 - 242*z**4 wrt z.\nAnswer: -11160*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*h - 76 + 119, 44 = 4*i - h. Solve -2*y = q - i + 21, 3*y - 4 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -6416.\nAnswer: -25\/3208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300.1 - -300. Which is the third biggest value? (a) 2 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077*d - 979*d = 927374. What are the prime factors of d?\nAnswer: 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29003*a = -29007*a + 96. Solve -a*w - 16*w = 120 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - 4 = 0. Suppose s + 599 = -0*p + 3*p, 788 = n*p + 4*s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0837 - -214.0837. Let o = h - 214.0013. Round o to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.49 - -0.49. Sort -5, -1, -0.2, f.\nAnswer: -5, f, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*a - 24, -21*a + 35 = -17*a - 5*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9149\/3 - 3050. What is the fourth smallest value in -0.4, 2, 0.5, g, 0.03?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 460 divided by 2\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1993*l. Let x(t) = 2*t**2. Give x(r(q)).\nAnswer: 7944098*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 386?\nAnswer: -38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2791, 5587, 8395, 11221, 14071, 16951?\nAnswer: 19867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Let h = -25 - -32. Solve h*m = 3*m + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 125 + 99*r - 263 + 138. Let g(z) = 5*z**2 + 4*z + 4. Let k(x) = -6*x**2 - 5*x - 5. Let u(o) = -5*g(o) - 4*k(o). Give u(n(a)).\nAnswer: -9801*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8634*x + 60480. What is b(7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 105 + 180 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -67 - 88) + 102\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1591, 6362, 14313, 25444, 39755, 57246, 77917?\n\"Answer: 1590*u**2 + u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -5*b**4\/24 - b**3\/6 - 9*b**2. Calculate f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13334.1 plus 1086059.656?\nAnswer: 1072725.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 617*p - 3717. Calculate g(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 14 - 3) + (-15)\/(-150)*170\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sws when three letters picked without replacement from {w: 1, p: 9, s: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8945 <= -5362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/9)*b)\/((b\/b**5*b)\/b)*((b**(2\/7)\/b)\/b*b)**(9\/2))**(-30) assuming b is positive.\nAnswer: b**(-1895\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 - 11. Determine c(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkkjbkkbbkkbkkj. Give prob of picking 2 j.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/545 > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3854 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5131.25 and -36.\nAnswer: 5095.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -29 - 115. Suppose -s*p = -0*p - 84. Let h be 76*(-1)\/(-28) + 2\/p. Solve 6 = -0*t + h*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 495\/44*(-8)\/(-3). Let s(r) = -4*r**2 - n*r**2 + 37*r**2. Let d(z) = -2*z. Calculate d(s(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x - 2*g + 20 = 0, g - 5 = 0. Let l be x*(3 - (-86)\/(-4)). Solve 25*m**2 - 4*m + 16*m**2 - l*m**2 = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*s**3*w*y + 4*s**3 + 3336*s*w + 6*w*y + 1946*y - 35 wrt s.\nAnswer: 12*s**2*w*y + 12*s**2 + 3336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-95)\/110) - (-36)\/(-18)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -833a3 (base 11) to base 14\nAnswer: -32457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 2325645.\nAnswer: 2325645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 590 = -5*k, -343 = -4*k - 3*x + 152. Let -15*w**2 + 34*w**2 - 80 - 64*w**2 - k*w = 0. What is w?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(75\/(-183))*65. Suppose m = 16*s - 3*s. What are the prime factors of s?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 535200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82282957, 82282955, 82282953, 82282951, 82282949?\n\"Answer: -2*q + 82282959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 11}. Give prob of sequence dk.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5\/10 + 29*q**4\/5 - 4057*q**3\/10 - 13586*q**2\/5 - 2330*q + 2880 = 0 for q.\nAnswer: -45, -5, -2, 2\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 130838.5 to the nearest 1000.\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 82*u - 118. Give p(29).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s = 18*s - 5*j + 9, -7*j = -7. Put -2, s, -11, 4, -58 in ascending order.\nAnswer: -58, -11, -2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2940))\/sqrt(5) + sqrt(1452) + -5*(sqrt(1452) + 5*sqrt(1452)) + sqrt(1452))**2.\nAnswer: 1087212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k**3 + 2*k**2 + 3*k + 1. Let x be c(-1). What is the greatest common divisor of 50 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:12 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 133691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l - 3*y - 18, 0 = 2*l - y + 6. Let w(a) = 8*a**2 + 4*a + 6. Let o be w(l). Find the first derivative of 15*t**2 + o*t - 118*t + 13 wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921970219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 85. Let a be t(-14). Let i = 82 - a. Suppose -3*j = -i*j + 32. Calculate the highest common factor of j and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76\/3 - 25. Let j be 297\/378 - (-2 - (-16)\/7). Sort j, -3\/5, h in decreasing order.\nAnswer: j, h, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfccfxxxcfcxcxxxccx. What is prob of sequence fcxx?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 54*i + 31*i + 455. Let y(g) = -g**3 - 2*g**2 + 8*g + 11. Calculate y(i).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.82342 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.29, 2, -3, 4, 1.6 in descending order.\nAnswer: 4, 2, 1.6, 0.29, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13177.24um?\nAnswer: 13.17724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.06, 1, 0.1, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:07 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*11712\/549?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -35*l - 4. Let y(x) = 58*x + 8. Let a(t) = 7*m(t) + 4*y(t). Let o(v) = 4*v + 3. Let c(w) = 5*w + 4. Let b(q) = -3*c(q) + 4*o(q). Give a(b(h)).\nAnswer: -13*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 241*u - 11213. What is s(54)?\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paia when four letters picked without replacement from iipipiiapppiiiiii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 - -123445?\nAnswer: 123353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 + 21\/6. Suppose -w = -n*r - 8, -w + 0*w + 8 = -r. What is the units digit of (-11 - 13)\/((-1)\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.6. Let w = -422.955 - -421. Let o = 0.045 - w. Which is the closest to 1? (a) n (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**3*p - 2*m**3 + 50374*m**2 - 21*m*p + m - 87146*p - 5 wrt p.\nAnswer: -2*m**3 - 21*m - 87146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let d(z) = 67*z**2 - 19*z + 74*z**2 - z**3 - 127*z**2 - 29. Let c be d(12). Let n(q) = -10*q - c*q + 55*q. Determine n(i(f)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.038, -1\/6, -550\/23?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2031 (base 13) to base 5\nAnswer: 120214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -28362948018186?\nAnswer: 28362948018185.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + 89.9. Let t = 91.18 - p. Round t to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168 + -175.7. Let k = 0.3 - p. Let g = k - 8.00000075. Round g to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m**2 + 1. Let s be o(-2). Let x be (-4)\/(-18) - 14\/(-18). Suppose r = x + 10. Calculate the greatest common factor of s and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 690 = 7*c. List the prime factors of c.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4*6\/12 - 6) + 7. Let y(m) be the first derivative of -5\/3*m**r + 0*m + 0*m**2 + 9. Let h(d) = -2*d**2. What is y(h(s))?\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18675076 is divided by 20866.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - v**2 + v**2 - 5*v**4 + 2*v**4 + v**4 - v**4 - 2*v + 2*v + (-2 + 2 + v)*(4*v**3 - v**3 - v**3) - 7*v**4 + 2*v**3 - 8*v**4 + 11*v**4.\nAnswer: -3*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258.2 - 338. Let j = -76.8 - g. Let u = -0.3 - 0.7. Which is the closest to u? (a) j (b) -2\/21 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) - (-626)\/18. Calculate the highest common factor of 105 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3872 or -100701\/26?\nAnswer: -100701\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k**3 - 8*k**2 + k**3 - 36*k + 10*k**3 + 23*k**2 - 19. Let r be s(-17). Suppose 0*o - r = -3*o, -5*j + 4*o + 50 = 0. Solve -4 + j = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 + 4*a**2 + 24. Let g be 544\/408*(-6)\/8. Let w(y) = y**3 + y**2. Calculate g*b(t) + 4*w(t).\nAnswer: t**3 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -287 (c) -0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 2) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 + 28*y**2 + 6*y. Let c(b) = 5*b**3 - 55*b**2 - 11*b. Calculate 6*c(d) + 11*l(d).\nAnswer: -3*d**3 - 22*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 240.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 938, 973, 1032, 1115, 1222, 1353, 1508?\n\"Answer: 12*o**2 - o + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = 46*o - 24*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -235 - -245. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1829*p + 546*p**3 - 1829*p + (-p**2 + 0 + 0)*(-2*p - 2 + 2) + (-3*p**3 + 2*p**3 + 3*p**3)*(5 - 3 - 4) in the form c*p**2 + a*p**3 + m + t*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -142*w**4 - 20*w**3\/3 - 5*w**2\/2 - 1895*w. What is the second derivative of b(q) wrt q?\nAnswer: -3408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 23, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10043 (base 5) to base 16\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(833))**2 - sqrt(833)) - (2*sqrt(833) + -1).\nAnswer: -7*sqrt(17) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*w**2 + 125*w**2 + 36*w**3 - 497*w**2 + 125*w**2 + 123*w**2.\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*l + 21*l + 517*l + 164*l.\nAnswer: 1226*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8774349421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 13*j**2 - 2*j - 18. Let q be n(12). Let s = 118 - q. Calculate the highest common factor of s and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 14 - 23 + 4*s**3 + 4.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 224308 + -110608. Round i to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 + 12*p - 74. Let q be h(-6). Which is the biggest value? (a) -35 (b) q (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2938*s + 11755. What is t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - 8\/(-10)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 l when four letters picked without replacement from {s: 3, l: 1, m: 5, q: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*20\/8*2 + 12 + 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1255 - 1252. Suppose 0 = -2*y + 7*y - 20. What is the third biggest value in y, q, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from kkkbkkkkkkkbkbkkkkkb.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461?\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -777*k**3 - 42*k**2 + 117005*k + 1 wrt k.\nAnswer: -4662*k - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 133395486 divided by 6\nAnswer: 22232581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*u**4 - 1171*u**3 + 120*u**2 + 16*u + 1060660.\nAnswer: 480*u**2 - 7026*u + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1015013 and 138?\nAnswer: 6090078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 10) to base 5\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -247160 to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.01 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.821 to 2 dps.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d - 5. Let p be i(-4). Let y(m) = -3*m + 31. Let s be y(p). Put 1, -3, 78, s in descending order.\nAnswer: 78, 1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -68. Let c be ((-14)\/(-315))\/(g + (-117)\/60). Find n, given that c*n**3 - 2\/9*n**4 - 2\/3*n**2 + 8\/9 - 8\/9*n = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232878 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 791, 1610, 2705, 4076, 5723?\nAnswer: 7646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23973 is divided by 3414.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/1034)\/(380\/1672).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/9, -5467 in ascending order.\nAnswer: -5467, -0.4, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/3*1\/2. Let p be y + 6 - 2*-4. Suppose -4*o + 2*o = -p. Solve -o + 1 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11247.97ug in kilograms?\nAnswer: 0.00001124797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z - 158. Determine h(-19).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29184146 to the nearest integer?\nAnswer: 5402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156976*y**3 + 1249*y**2?\nAnswer: -941856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 7 + 18. Solve 4*y - 5*x - 28 = 0, -a*x - 19 = 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u + 433 = -2*h, u = -5*h + 65. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/5 - 1113234*f - 1549112423445 = 0. What is f?\nAnswer: -2783085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 7) + (-23 - (-17 - 7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 746 + -384. Is w*1 - (-30)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26448833?\nAnswer: 26448833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (3 - -5)) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30387505 is divided by 2923?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-4)\/(-9)*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11596585 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23403, 46878, 70341, 93786, 117207?\n\"Answer: -a**3 + 23482*a - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17*z**4 + 13*z**3 - 59*z**2 - 34*z + 10. Let g(v) = 6*v**4 + 5*v**3 - 20*v**2 - 11*v + 4. Let o(r) = -11*g(r) + 4*i(r). Factor o(a).\nAnswer: (a - 4)*(a + 1)**2*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.55911188 + 0.1.\nAnswer: -1.45911188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - 43\/9. Let n(p) be the first derivative of p**4\/24 - p**3\/3 + 24*p**2 + 108. Let t(w) be the second derivative of n(w). Calculate t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - p - 10 = 2, 3*p = 2*b + 4. Let u(w) = 2*w - 5. Give u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + 1*sqrt(7)*3 + -2 - 6*(sqrt(7) + -2*sqrt(7) + -5))**2.\nAnswer: 3360*sqrt(7) + 8904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -474*36075\nAnswer: -17099550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/5, 0.5, 0.3, -196, -261 in descending order.\nAnswer: 0.5, 0.3, 1\/5, -1, -196, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 54*x**3 + 26*x**2 - 26*x + 26. Suppose 2*q = 5*l + 124, -5*q + 155 + 73 = 8*l. Let k(i) = -6*i**3 - 3*i**2 + 3*i - 3. Give q*k(o) + 6*a(o).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) -4\/9 (c) -1 (d) 1\/87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 84*m + 25*m + 15*m as j*m + x and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -c + 26, 0 = c + 4*q + 25 - 61. Suppose 2*o + w + c = 5*w, 3*o + 2*w = 8. Suppose o = d + 2*d - 9. Solve 15 = d*s - 8*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-3)\/(-4))*-3. Solve -4*u = -2*g - 2, 3*u - 7*u = -w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1293 and -5383.\nAnswer: -6676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**(-3\/8))\/x)*x)\/(x*x**(-3)))\/(((x\/x**(2\/9))\/x)\/x*x**(2\/5)) assuming x is positive.\nAnswer: x**(1871\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/8, 4, 2\/9, 0.09736, -2\/17?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -149\/2 >= -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592 = 8*p + 80. Let q be 4\/(-2) + (41 - 7). What is the highest common divisor of q and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10299220*b**3 - 3*b**2 - 1448*b + 42?\nAnswer: 61795320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 123 = 4*p. Suppose -10*b + b + 36 = 0. What is the greatest common factor of p and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2, -40\/33, -5 in decreasing order.\nAnswer: 2\/5, -40\/33, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*1 - sqrt(13) - sqrt(13)) + sqrt(13))*-1 - (sqrt(13) + (sqrt(143)\/sqrt(99))**2).\nAnswer: -sqrt(13) - 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9717759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9901 + 10969. Calculate the least common multiple of n and 44.\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1552944840 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 - 2*j**5 + 6*j**5 + (5 - 5 - 2*j)*(-j**4 + j**3 - j**3) + 0*j**4 + 0*j**4 - j**5.\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 8*k**2 + 4*k - 35. Determine r(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k**2 + 20*k + 25*k - 2*k**3 - 45*k.\nAnswer: -2*k**3 + 38*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1937 + -1936. Sort i, -1, -723 in decreasing order.\nAnswer: i, -1, -723","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j. Let h(w) = -11*w**2. Determine t(h(p)).\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -199, 3 in increasing order.\nAnswer: -199, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 93076.62 milligrams in tonnes?\nAnswer: 0.00009307662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 258 + -258.06. What is the closest to -3 in -4, 1, i, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.04, 28, 3647\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**6\/12 - 7*y**5\/6 - 31*y**4\/6 - 70*y**3\/9 - 4*y**2 - 5304. Determine t, given that h(t) = 0.\nAnswer: -6, -4, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8 - (-113)\/2. Suppose 51*g = r*g + 24. Sort g, 0, 8.\nAnswer: g, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*((-3 + sqrt(363)*-1)*5 + 5 + -3))**2.\nAnswer: 321750*sqrt(3) + 2079900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.02, -3, -1\/3.\nAnswer: -3, -2, -1\/3, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 61831 = -3*t + 2*f, -3*t = -4*f - 37083. Suppose -t = g - 3965. Round g to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 3942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3966*p - 138128 = -187211 - 34582 - 265343 for p.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 59 - 30 - 220*z to the form q + h*z and give h.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 20*a**2 - 12*a + 27. Let g be l(21). What is the greatest common factor of 36 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*j + 3*b, 89*j - 58 = 86*j - 2*b. Let t = 4869\/4 - 1202. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/7 + 5411850*u\/7 - 2440676701875\/7.\nAnswer: -3*(u - 901975)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0. Let r = 9.1 + u. Let g = -9.3 + r. What is the closest to 0.1 in 2, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/19 + 636\/2. Suppose 0 = 3*j + 268 - l. What is the least common multiple of 22 and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5336 and 8551824026.\nAnswer: 8551829362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 + 5*c + 11. Let j be o(6). Suppose 0 = 3*s + j*s - 32. What is the remainder when 9 is divided by (2\/(-3) + s)*(-6)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/22)\/(((-275)\/20)\/(-11)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 6*r - r - 5*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -66?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10884 plus -0.03?\nAnswer: -10884.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 162859\nAnswer: 814295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -15 + -44 + 117?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3510731794 to 2 decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {r: 3, g: 1, h: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - 2*(-2)\/2. Let p = 0 - i. Suppose -f - p*f = -8. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from afff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 6 + 4)*(-2 - 2*m + 2)*(14 - 8 - 12)*(2*m**2 + m - m) as x*m + s + o*m**3 + v*m**2 and give o.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 1. Let s(m) = 3*m**2 + 7*m + 1. Let h(z) = -2*b(z) - s(z). What is the units digit of h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.213 - 0.213. Put v, 1\/3, 14 in descending order.\nAnswer: 14, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34512450 - -5?\nAnswer: 34512455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 16 - 10 - 12 - 3*p.\nAnswer: 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463986*m + 28 - 3 + 1 + 464072*m.\nAnswer: 86*m + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -32. Calculate the remainder when (-4)\/14 + 0 - 9264\/(-84) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.905 + 0.095. Let u = i + -39.4. Let x = -0.2 + -0.3. Which is the third smallest value? (a) x (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 298268*f*i**3*z + f*z**2 - 30*f*z + 2*i**3*z**2 + 40*i**2*z + 60*i*z wrt i?\nAnswer: 1789608*f*z + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145331 is divided by 10373.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1723*g + 1704*g + 271966 = 0. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**2 + 3*h + 7. Let y(w) = -11*w**2 + 6*w + 15. Suppose 42 = 2*l - 5*i + 9, -5*l + 30 = -2*i. Let z(p) = l*y(p) - 9*m(p). Determine z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8130580?\nAnswer: 2, 5, 223, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12465154 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -710 (base 10) in base 4?\nAnswer: -23012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10237*j - 1238673. Give l(-121).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from sjslvwn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zawa. Give prob of picking 2 a and 1 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) - (-4)\/(-16). Let g(u) = 7 + 5*u - 4 + y + 15*u**2. Is g(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18440831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 o, and 1 r when three letters picked without replacement from nnnrdnrnrdorpdrdpd.\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 i, and 1 w when four letters picked without replacement from pwpmwimymwiif.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*h, y = -h + 3 + 5. Suppose -h*o + o + 6 = 3*d, 3*d + 29 = 4*o. Suppose -5*q + 4061 = -10*b + 6*b, 5*q - o*b - 4065 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*u + 15 = -64*u. Suppose -2*k = 4*y + y - 32, -u*y + 8 = -2*k. Which is the second biggest value? (a) -2 (b) 3 (c) k (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2.7, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 2868*v + 19887. Give q(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 296 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-528))\/((-3366)\/(-20570)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 9*c. Let u(k) be the second derivative of 0*k**3 - 1\/40*k**5 + c*k**2 - 1\/48*k**4 + 0 + 7\/120*k**6 - 1\/42*k**7 + 2*k. Factor u(q).\nAnswer: -q**2*(q - 1)**2*(4*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*f - 1285, b - 109*f - 643 = -111*f. What is the least common multiple of b and 2?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l + 2*l**2 - 5*l + 2 - 2*l**2 - 2 + (-4*l + 2*l + 4*l)*(-4 + 4 + 2*l) - 3*l**2 - 8*l**2 - l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*25\/(-1375)*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -52. Let y(d) = -4377*d - 4369. What is the remainder when l is divided by y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*l*m**4*n - 3*l*m**2 - 7*l*n - 2*m**4*n + 2*m**4 - 2*m**2 - 3*n wrt m?\nAnswer: -720*l*m*n - 48*m*n + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from llllllllllllzlzllllz.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 12. Let j(p) = -p**3 - p**2 + 1. Let w be j(-1). Let s = -9 + w. What is the smallest common multiple of n(s) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-12) + 164\/(-16). Calculate the common denominator of 1\/(-4)*t\/(-154) and -41\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n\/(n*n\/n**2))\/n)\/n)\/n**(-2\/3)*n**7\/n**3*(n**7\/(n*n\/(n*n**(-4))))**(-8\/9) assuming n is positive.\nAnswer: n**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 67 - 65 = 0. Suppose a - h = 4*c, 5*c + 26 = -0*a + 4*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817 - 1827 = g - u, -5 = 5*g + 4*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 496 by -45.\nAnswer: -496\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:21 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 16*i. Let w(h) = -h. Determine -6*w(m) - z(m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37755689 and 3628.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**3\/7 + 22626*m**2\/7 - 294519*m\/7 + 135990 = 0?\nAnswer: -7555, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 96 and 41 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4 + 1572*m**3 + 4710*m**2 + 4708*m + 1569 = 0.\nAnswer: -1569, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 3\/7, -1, -0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 13*i**2 - 27*i + 8. Let r be m(13). Let l = 460 + r. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -14. Suppose 3*v - 37 = -d. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 87f - -35?\nAnswer: 8b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 13 = 3*p. Suppose -5*u + 3*l + 54 - 17 = 0, -u + l = -p. Suppose -j + 2*z + 19 = z, -u*z = 25. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 6 = 4*c + 11, 3*c - 6 = 0. Let d(i) = -i - 10. Calculate d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.12338ml to litres.\nAnswer: 0.06712338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 1. Let l(x) = x. Let j(h) = 3*c(h) + l(h). Let t be ((5 - -7)\/(-4))\/(3\/(-5)). Calculate j(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10*3)\/(891\/(-198)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 - 1676*x - 351122 = 0. Calculate x.\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152)*3 + sqrt(1152) - sqrt(1152))*4)\/(sqrt(54)\/(sqrt(99)\/(-5*sqrt(11)))).\nAnswer: -96*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i, -2*i + 39 = 5*g + 2*i. Solve -15 = -g*p + 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 4*g**2 - g - 1. Let r be v(4). Let i = 1 - r. Is (-2)\/((-7)\/(3003\/i)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - g - 37 = g, 53 = 4*b + g. Suppose 409 = 4*n + 45. What is the greatest common divisor of b and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17309, -16928, -16531, -16118, -15689?\n\"Answer: 8*o**2 + 357*o - 17674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 53, 104, 165, 230, 293?\n\"Answer: -x**3 + 14*x**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3327, -6653, -9975, -13293?\n\"Answer: 2*m**2 - 3332*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-8)*(-56)\/(-42). Find the third derivative of 72*v**2 - 1288*v + 1286*v + 50*v**t + 8*v**2 wrt v.\nAnswer: 6000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*c**2 - 134*c**2 + 2*c**3)*(-22*c + 3*c + 3*c).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -4, 2 in descending order.\nAnswer: 2, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2*(6\/3)\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -516 + 806. What is the third biggest value in n, 2\/13, 5, -1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/120*3*(-2)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.878 - 5?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3029 divided by 1\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 72 = v. Suppose -10 = 2*o - 4*o. Solve -v - 2 = o*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(((w**6\/w)\/w*w)\/w))*w*w*w**(1\/5))\/(w*w**(-2)*w*w**(-3\/7)\/w) assuming w is positive.\nAnswer: w**(267\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-5))\/(2256\/(-9870)*7\/(-12)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 1. Let d(n) = 3*n - 8. What is -2*d(y) + 2*k(y)?\nAnswer: -2*y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2340400610.\nAnswer: 2, 5, 223, 229, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 1:09 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2131 - 2113) + (3 - (22 - 4)) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0176 - 0.5176. Let n = -0.21 - -0.14. Which is the third smallest value? (a) 3 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 29*s**2 - 208*s - 24. Is 43 a factor of b(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-14))\/(((-8)\/6)\/(56\/(-12)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v**3 + 10*v**2 - 9516*v - 5. Let m(z) = -3*z**3 + 2*z**2 - 1. Determine d(f) - 5*m(f).\nAnswer: f**3 - 9516*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 + 216.69. Let c = 0.7 + 0.9. Let q = c - f. What is q rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 0.6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -200, -362, -578, -842, -1148, -1490, -1862?\nAnswer: -2258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 782502010 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 119812.7 to the nearest one hundred.\nAnswer: 119800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k - 4*b, 0*k + 2*k - 14 = -3*b. Suppose 2*h = -k*u + 8, -3*h + h = -8. Is 3\/6*(158 + u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -575 + 576. Which is the closest to -2\/3? (a) 0.4 (b) 3 (c) g (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(72)*5 - sqrt(72)) + sqrt(72)) - sqrt(72))**2 + (-5*sqrt(8)*1)\/sqrt(4).\nAnswer: -5*sqrt(2) + 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20415212 a multiple of 886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c*i**4 - 24160*c*i**2 + 2314*c - 14 with respect to i.\nAnswer: 20*c*i**3 - 48320*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67436 - 42979 = -5*n - 5*l, -4*n = -2*l - 88326. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 28. What is the greatest common divisor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1475 = -3*f, -113*f + 111*f = -b + 282. What is the highest common factor of b and 1898?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0 - 5\/2*b**2 + 11\/6*b**3 + 5*b. What is the first derivative of d(h) wrt h?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z**2 + 3. Let c(i) = -1866*i**3 - 6*i**2 + 16. Determine c(x) - 6*t(x).\nAnswer: -1860*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 10 = 2*g. Suppose -3*k + 7 = g*l - 0*k, -l = -k - 3. Calculate the smallest common multiple of l and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = 0, 3*j + 2*d + 323 = 3*d. Let h = j - -67. Let i = h - -42. Solve 5*a - i = 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 361358956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 d, and 1 i when four letters picked without replacement from dyvvyyyicdiidyiyiiy.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*y**2 - 34*y - 10.\nAnswer: -2*(y + 1)*(12*y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13440544 - -5221?\nAnswer: 13450205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 26*n**2 - 21*n - 102. Let b be h(25). Put -6, -18, b in descending order.\nAnswer: b, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 12*p**2 + 4*p + 3. Let u(b) = 2*b**2 + b - 1. Calculate -g(v) + 2*u(v).\nAnswer: -8*v**2 - 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 191. Suppose -c - s - s = -45, -5*c + 3*s + 160 = 0. What are the prime factors of m(c)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011000010011 + 11?\nAnswer: 1011011000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -2.02. Let k = -0.8 + -0.2. Let t = -6 - k. Which is the second smallest value? (a) t (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/(-8))\/((-1080)\/(-288)). Solve 13*f - 15*f = 4*q - 14, 0 = -2*q + z*f + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 19. Let k be b(-15). Solve 0 = q + k*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207390 divided by -6.\nAnswer: -34565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -611 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -4\/3, 127, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -122\/84671?\nAnswer: -122\/84671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7))**(10\/3)*(a*a*a*a*a**(-6)*a)\/a**(-1\/3) assuming a is positive.\nAnswer: a**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4350.3 + -4350. Which is the second smallest value? (a) -1\/3 (b) v (c) 0 (d) -2\/189\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.037 - -0.38?\nAnswer: -17.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 591 + -597. Let g(n) = -3*n**2 - 2*n + 33. Let j be g(w). Which is bigger: -60 or j?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1276 = -2*q, -2*q + 163 + 609 = 3*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3683 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145164685?\nAnswer: 5, 7, 32718991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2. Suppose -14 + 6 = -4*d. Let z(n) be the first derivative of n**2 - 5 + 9 + d*n**2. Give o(z(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-724)\/(-3) + 171\/(-27) + 7. Calculate the greatest common divisor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 12*d**3 + 24*d**2 - 46*d**2 + 22*d**2 - 1 - 48*d + 22*d**2 - 55 - 2*d**4 = 0.\nAnswer: -2, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66700 is divided by 116?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r**2 + r - 1. Let z(b) = -b**2 + 11*b - 9. Let n be z(10). Determine j(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*j - 4\/9*j**3 + 2\/9*j**4 - 2\/9*j**2 + 0.\nAnswer: 2*j*(j - 2)*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3597.75l?\nAnswer: 3597750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-4)*(-3276)\/325*-5*3\/12?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -18*i**3 - 44*i**2 + 30*i - 22. Let k(f) = -6*f**3 - 15*f**2 + 10*f - 7. Let l(z) = -11*k(z) + 4*s(z). Is 22 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*q, 0 = -2*g - 2*g - 5*q + 17. Suppose g*s = 2*s + 2. Solve s*c = 1 + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 5*d. Let i(j) be the second derivative of -1\/3*j**3 + 0 + 2*j + 0*j**2. Determine 5*i(c) - 2*z(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8104285 is divided by 556?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 72\/111413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 2*t**2 - 6*t + 3*t + (0*t + 4*t - 2*t)*(-4*t + 3*t - t) + 5*t**2 - 6*t**2 + 0*t**2.\nAnswer: -7*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123*-30.\nAnswer: 3690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15999047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563501 is divided by 1868?\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 34, 0 in decreasing order.\nAnswer: 34, 33, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 9:03 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 57. Suppose b + 34 = -4*w - z*b, -3*w - 28 = b. Which is greater: -9 or w?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 + 56. Let v = t + 38. Suppose -3*p + 15 = v, 7*a - 5*p + 19 = 4*a. Is a at most as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019323 to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - x - 2*o = -6, 1 = o - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**19*m\/m**(-15)*(m\/(m\/((m\/m**(11\/3))\/m)))\/(m\/(m\/((m*m*m\/(m\/((m**(1\/38)\/m)\/m)))\/m))) assuming m is positive.\nAnswer: m**(3683\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -349 - -346.91. Let o = q - -3.3. Let k = o + 0.55. Round k to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0, 8.43553, 2\/5.\nAnswer: -4, 0, 2\/5, 5, 8.43553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 o when four letters picked without replacement from {o: 5, u: 4, k: 5}.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139423844 and 15360254?\nAnswer: 1812509972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11) + sqrt(11) + 3 - sqrt(132)\/sqrt(192))*1.\nAnswer: 3 + 11*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1014 or -5848?\nAnswer: -5848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 14. Let u(x) = -x**3 + 6*x**2 - 7*x + 5. Let d be u(5). Which is the biggest value? (a) d (b) -3\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 10*q**2 + 7*q + 66. Let v be i(-10). Sort -5, -2, v.\nAnswer: -5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 7*a**4\/24 - 21*a**3\/2 + 2*a**2. Let o be w(19). Calculate the greatest common factor of 1190 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 1. Let k = 7203 - 57525\/8. What is the common denominator of 15\/(-10)*131\/m and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:07 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 38\/11 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54372 is divided by 27175?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**4 - 5*g**3 + 600736*g**2 + 13940752*g - 21?\nAnswer: -24*g**2 - 30*g + 1201472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/9)\/(3\/27). Let t(p) = -p + 7*p**2 - 2 + 3*p - 3*p**2 - l*p**2. Determine t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 0*u - u - 2 + 1 + 2 + 2*u**4 - 2*u**2 in the form f*u + g*u**2 + c + x*u**4 + p*u**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 3. Let n be o\/1*(-15)\/(-10). Let k = -6 - -3. Put k, n, 0.2 in increasing order.\nAnswer: k, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o - 78*o**3 + 16*o.\nAnswer: -78*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, r: 2, k: 4, b: 2}. Give prob of picking 1 b, 2 r, and 1 k.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from {f: 6, k: 3, p: 1, i: 3}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -0*u + 2*u. Find the common denominator of (0 - (-13)\/6)*3 and 151\/12 + (-46)\/u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19591, -19439, -19299, -19177, -19079?\nAnswer: -19011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 10*z**2 + 18*z - 1. Let d be k(-4). Solve -d - 1 = 8*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1846 + 63143.6616.\nAnswer: 64989.6616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y - 3. Let a be z(-3). Suppose -v = 3*i + i + 15, 2*i + a = -5*v. Which is greater: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252418871 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.8 and -337622.30128.\nAnswer: -337619.50128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -3, -4, 4.\nAnswer: -4, -3, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16*(-54)\/(-1440))\/(18\/(-40)). Let t = 3 - 5. What is the third smallest value in -3, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.21508 millilitres in litres?\nAnswer: 0.00621508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 - -134. Suppose -n = -4*b - 55. Suppose -2773 = -b*w + 775. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.67, 1, -5, -0.9, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112661 - 112664. Suppose -16 = j + 2*j + 2*k, 5*j + 2*k = -20. Let g be 1\/(-4) + j\/(-8). What is the nearest to g in w, 2\/17, 4\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (19 + (-4 - (-20 + 18))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6528.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8762c2 (base 16) in base 9?\nAnswer: -17622871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 479002 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p**3 - 2*p + 1. Suppose -14*t = -19 + 89. Let r be (-4 - t) + (1 - 1). Calculate l(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167151373483 - 0.06.\nAnswer: -167151373483.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.102 + -0.302. Let z(j) = -j**3 + j**2 - j + 4. Let g be z(2). Let n be (-2 - g)*(-6)\/12. Is p < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1210000110 (base 3) to base 11\nAnswer: -24332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 11. Suppose 4*v - v - 2 = m, 2*m = v + 6. Suppose c = -m*c - 100. Let y be (-16)\/(-24) + c\/3. Let z(k) = -k - 3. Give y*h(j) + 22*z(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11304458*k**2*s + 5547931*k**2 - 1 wrt s?\nAnswer: -11304458*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/3 (b) -22 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrr when three letters picked without replacement from rzzyburnb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 5 - 28) + 30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7085, 7086, 7089, 7094, 7101?\n\"Answer: a**2 - 2*a + 7086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(19)*-2 + 0 + sqrt(1216))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(-1 + 4 - 6 + (1 + 3 - 3)*(-1 + 0 - 1))*(-v**2 - 5*v**2 + 3*v**2).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 b when four letters picked without replacement from {z: 6, b: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**6\/420 - m**5\/210 + 23*m**2 + 7*m. Determine w so that l(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 16 + 9 + 6*h**4 - 7*h**4 - 10*h**3 - 24*h**2 = 0 for h.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -27*o - 48*o + 75*o - 2*o**2. Let b(l) = 2*l**2 + 3*l + 3. Let k(i) = 10*i**2 + 14*i + 14. Let a(g) = -14*b(g) + 3*k(g). Determine a(y(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/25*-8 - (-12)\/15. Let n(g) = 7*g**2 - 3*g - 18. What is the remainder when n(j) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 take away 0.5416555074?\nAnswer: 11.4583444926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3))\/(n*n\/n**(-1\/2))*n**(-1\/6)\/(n\/(n\/((n\/((n**(-5\/2)\/n)\/n))\/n))) assuming n is positive.\nAnswer: n**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 + 33 = 3*u - 5*f, 0 = 4*u - f + 389. Let y = -55 - u. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -522*f**2 + 5*f - 2. Let g(d) = 263*d**2 - 3*d + 2. Calculate -5*g(o) - 3*l(o).\nAnswer: 251*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let b be n(0). Suppose b = -0*p - 4*p + 96. What is the remainder when 70 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2996)\/(-642)*(20\/7 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3941 divided by 6.\nAnswer: 3941\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-1\/2)*x*x**(-14\/5) assuming x is positive.\nAnswer: x**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*a - 350, -3*a + 8*a + 438 = 9*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 11:08 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 87, 98, 109, 120, 131?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -104 (b) -2 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594096003 by -59931.\nAnswer: -9913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*o**2 - 5 - 8464*o**3 + 3 + 5557*o**3 + 73*o**2 + 3 to s*o**2 + h*o**3 + v + p*o and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 716461184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20826 divided by -75.\nAnswer: 6942\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-1*(-6)\/(-4). Let w be (-4 - d) + -2 + 4. Let t be 5\/(-2)*2\/w. Let k(n) = -n - 4. What is k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(13 - 6 - 2)*(3 - 3*x - 3).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7954857, -15909714, -23864571, -31819428, -39774285?\nAnswer: -47729142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -3*a**2\/2 + 2. Let s(b) = 5*b + 6. Let j(u) = 4*u + 5. Let z(i) = -6*j(i) + 5*s(i). Give z(v(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1780 + -1777. Suppose 2*m = -2*m - 20. Let r be 2*4\/(-16)*-2. Put m, n, r in decreasing order.\nAnswer: n, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 0*n**3 + 3*n**3)*(-1714 - 2347 + 1120 - 3352 - 24 - 503).\nAnswer: -27280*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*z + 21*z**5 + 93*z + (2*z + 2*z - 5*z)*(4*z**4 - z**4 - 2*z**4) + z**5 + z**5 - 4*z**5 + (2*z - 2*z + z)*(3*z**2 - 3*z**2 - z**4).\nAnswer: 17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 12 - 12)*(-g**3 - 3*g**3 + 2*g**3) + 0*g**4 + 4*g**4 - 2*g**4 + (-2*g - 2 + 2)*(4*g**3 - g**3 - g**3) - 5*g**4 + 2*g**4 + 4*g**4.\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-10))\/9)\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 53*o**2 - o + 4. Let r(m) = 106*m**2 - 2*m + 9. Calculate 9*n(l) - 4*r(l).\nAnswer: 53*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2315 + 2001 + 1185 - 7667*c + 228 - 497 wrt c?\nAnswer: -7667","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 408 = 414. Sort r, 5, -23, -6 in decreasing order.\nAnswer: 5, r, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 8. Let d = 11 + t. Suppose -114 = -b - d*c, 0*c + 15 = -3*c. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -13. Let l = u - 0. Solve l*c = -c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 91*r**2 - r. Let p be d(1). Suppose 2*i + 3*i - p = 0. Suppose -4*w = 4*k - 36, 0 = k + 3*w - 0*w - 7. What is the remainder when i is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -29\/108225?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 3427.\nAnswer: 17135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4724*c**4 + 2557*c**4 - 2053*c**4)*(3 - 3 - 2*c) + 4*c**2 - 4*c**2 + 2*c**5.\nAnswer: -10454*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -4\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -98 - 1\/1. Suppose -4*w + 5 = -y. Calculate the highest common divisor of 275 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 11*u - 63984 = -727*u for u.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -3. Let x = n + -2. List the prime factors of -1 + (-8)\/(-6)*x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 96 = -34*i. Suppose -r = -g + 4 + 13, -i*r + 58 = 3*g. What is the remainder when g is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -3, -9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 19. Let c be (1 + (-2 + -5 - -75))\/3. Solve -c*n + g*n = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z - 18. Let y be h(-7). Suppose y*t = 11*t. Solve v - 3*v - 2 = t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -273 + -1 - 50*15\/150. Do f and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30803615 to the nearest integer?\nAnswer: 5550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 7*i - 9. Let o be a(-4). Let m(q) = 6*q - 3. Give m(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(975) + sqrt(975)*-1 - sqrt(975)) - sqrt(975))*-3)\/(((sqrt(243) - (sqrt(243) + 1*sqrt(243) + sqrt(243))) + sqrt(15)\/(-2*sqrt(5)))*-3).\nAnswer: 20*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -153*j**3 - 3*j**2 + 3*j - 12. Let s(o) = -460*o**3 - 10*o**2 + 10*o - 40. Calculate -10*c(y) + 3*s(y).\nAnswer: 150*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1253, 828.\nAnswer: -1253, -2, 828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1298*c**2*q**2*z**3 + 51*c**2*z - 2*q**2*z**4 - 3*q**2*z + 2*z**2 wrt z?\nAnswer: -7788*c**2*q**2 - 48*q**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 113.91169*0.3\nAnswer: 34.173507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 585*p + 9000.\nAnswer: -(p - 600)*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646*m - 646*m - 24*m**2.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4. Let r be k\/2*(-4)\/(-12). Which is the nearest to 0.1? (a) r (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 1044760.\nAnswer: 1044761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 4 = 0. Let o = q - 2. Let s(x) = -x + 2. Let a be s(o). Solve -2*z + a = -3*g, 0*z = -4*z - 2*g - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 3 + 0*o**3 - 3*o**2 + 0*o**3 + 0 as i*o**2 + w + a*o + j*o**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(13\/234*42).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/55043 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -21 - (2 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*q + 6, q + 0 + 2 = x. Suppose 3*f - 1470 + 47 = 4*k, q = -2*f + k + 957. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m**2 + 4*m**3 + 1 - 16*m**2 - 934*m + 14*m**2 + 935*m as w*m**2 + v*m**3 + r + t*m and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.435*0.1.\nAnswer: 0.1435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c**4 + 3*c**3 + 14*c**2 + 3*c + 5476. Let u(y) = y**3 - 7*y**2 - 2*y - 1. Let z(k) = d(k) + 2*u(k). What is the first derivative of z(r) wrt r?\nAnswer: 40*r**3 + 15*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10621439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -17*g**2 - g. Let u(p) = 4507 + 4530 - 21*p - 9036. Calculate u(s(a)).\nAnswer: 357*a**2 + 21*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, 33, -768, 4, 5, -5 in decreasing order.\nAnswer: 33, 5, 4, 0, -5, -15, -768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14300217*d**3 + 10325220*d**2?\nAnswer: -85801302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -520 at most as big as -520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -451*c**2 - 2*c**3 + 131*c**2 + c**3 + 442*c + 0*c**3 wrt c?\nAnswer: -6*c - 640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*(k*k**(-21)\/k)\/k)\/(k*k**(-1\/11)*k))\/((k\/(k\/k**(2\/43)))\/k*k*k*k**(3\/4)) assuming k is positive.\nAnswer: k**(-42959\/1892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*z - 7*z**2 - 355*z.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**3 - r**2 - 513*r - 15. Is t(28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315\/3*(-1398)\/3495\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40287.4 and -0.6.\nAnswer: 24172.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -45*r**4\/2 - 104*r + 170. What is the derivative of l(o) wrt o?\nAnswer: -270*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g + 4. Let x(z) = -107*z + 65. Let a(p) = 54*p - 33. Let f(l) = 11*a(l) + 6*x(l). Calculate -4*f(n) + 27*y(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1331330 and 25\/16709.\nAnswer: 41271230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-72))\/(1\/9). List the prime factors of (-70 - 2)*2\/y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1976.9031 + -1977. Let t = -0.0286 - y. What is t rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.47205 grams in micrograms?\nAnswer: 47472050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5767*s - 6860*s + 15730*s - 6029*s to x*s + h and give x.\nAnswer: -2926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3234, -10401, -21516, -36579, -55590, -78549, -105456?\nAnswer: -136311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/106 and 24\/53?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - h = -0*h + 26, 2*h = 4*w + 32. Let n(t) = -t**3 - 4*t**2 - 2*t**2 + t - 2*t + t**2 + 7. What are the prime factors of n(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16157 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2)*((-115)\/15 - -11). Suppose 3*x = b + 16, -x - u*b = -4*b. Solve 7*r - 3*r = x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - f - 37, 4*f - 1 - 3 = o. Solve -3*z - i = -6*z - o, i + 12 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 143.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*r = 16*z + 206*r - 141, 5*r = -z + 51 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 8408448?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-5)\/(10\/(-8)). Suppose -3*x - o = -0*x - 6, -k = 3*o. Determine h, given that 28*h**2 - 18 - 24*h + 8*h**2 - 10*h**x + 2 = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 r when four letters picked without replacement from xccrcxcxr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8404 - -34556. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isgnwiwwwsigwnxwsw. Give prob of sequence nn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 746, 756, 780, 824, 894, 996, 1136, 1320?\n\"Answer: r**3 + r**2 + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1305595\/3 - -435201. Let -26\/3*j**2 - z - 80\/9*j - 2*j**3 = 0. What is j?\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -4306442?\nAnswer: 4306434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404317 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 552196.2999994 + -552193.3. Let n = 3 - q. What is n rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 6. Let q be k(-6). Let j be q\/(-12) - (-6)\/4. Suppose 0 = j*t - 2*i - 188, -4*t - 3*i + 344 = i. What is the remainder when t is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63920 by 22.\nAnswer: 31960\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 362916288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**6\/6 - v**5 - v**4\/4 + 7*v**3 + 9*v**2 - 28. Factor h(j).\nAnswer: -j*(j - 2)*(j + 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 0.0503?\nAnswer: 0.000503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + -5 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 193 in decreasing order.\nAnswer: 193, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 15*p**4 - 74*p**3 + 110*p**2 + 75*p - 125.\nAnswer: -(p - 5)**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: df (base 16) to base 9\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56\/5 - 2\/5*k**2 - 24\/5*k = 0. What is k?\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 2*y**2 + 2. Let n = 6 - 7. Let b(x) = 2*x**3 - 4*x**2 - 2. Let r(t) = -t**3 + t**2 + 1. Let l(i) = b(i) + 3*r(i). Give n*d(q) + 2*l(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/17064936 and -123\/4604824?\nAnswer: 290103912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 1016?\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64225 divided by -367.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3\/2*22\/231). Suppose -g - 13 = -4*b. Let n be 8 + 1*(-20)\/b. Solve -4 = 5*p - n*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 455261, 910572, 1365883, 1821194, 2276505?\n\"Answer: 455311*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 2*v. Suppose 4*f + v*p = 992, 3*f = 4*p + 523 + 252. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 328*z**3 + 15*z**2 - 5*z + 5. Let s(h) = -h**3 - 3*h**2 + h - 1. Calculate -p(b) - 5*s(b).\nAnswer: -323*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/3 and -31\/8473371.\nAnswer: 8473371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 7*n**2 + 4*n + 8. Let y be v(6). Let s be (y - -3)\/(-2 + 1). Is 3 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*u = 3*k + 108*u + 27, 0 = -2*u + 12. Which is the nearest to 0? (a) 0.3 (b) k (c) 0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/7)*h)**(26\/5)\/(h**(-1))**37 assuming h is positive.\nAnswer: h**(1633\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649438?\nAnswer: 2, 443, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38640*z**5 - 10*z**2 - 2*z - 286.\nAnswer: -2318400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7 - 0.7. Put p, -1, -4 in increasing order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89591 is divided by 199?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1586175 and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2419, -4837, -7257, -9679, -12103, -14529?\n\"Answer: -v**2 - 2415*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 633, -2\/5, 7, -4, -2\/3 in descending order.\nAnswer: 633, 7, 1\/2, -2\/5, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933.997 rounded to the nearest ten?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -70*(-2)\/4 - (-5 + 2). Let m = -36 + l. Solve 0*d - m*d = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6688 - -18352. Suppose -t = 15*t - m. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjjfj. What is prob of sequence jjcj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1128446012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301118985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 2*p**3 - p - 2*p**3 + 7*p**3 - 3*p**3 + (0*p + p + 0*p)*(0 - p**2 + 0) - p**3 + 0*p + 0*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(165\/100) + 4\/(-6). Let z be (1\/9*r)\/(-2 - -4). What is the biggest value in z, 83, 4?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1791 is divided by 316?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1998, -2000, -2002, -2004?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 5)*(d**4 + 2*d**4 - 2*d**4) - 128*d**4 + 678509*d**2 - 678509*d**2 as g*d + c*d**4 + w*d**2 + v*d**3 + u and give c.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 67. Let o be v(-15). Suppose 2*x - o = -3. Let m(l) = 14*l + 1. Let y be m(6). Calculate the highest common divisor of x and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 77, -2\/33, -9, 3, 4 in ascending order.\nAnswer: -9, -2\/33, 0.5, 3, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*y - 3*t, 13 - 1 = y - 3*t. Suppose -y*s = -52 + 19. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 384 + -224. Let n = 12 - -4. What is the greatest common divisor of n and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 393*k**2 + 19 - 22*k**2 - 8 as z*k + l*k**2 + x and give l.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + (-78)\/(-12). Let c be 9*(-7 + y + 1 + -2). Let h be (3 - c\/(-3))\/(-1). Solve -4*v - v = h, v = -w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o - o)*(4 - 2 - 1)*(-18 + 19 + 9).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000430037 rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4146403\/6 - -692936. Let a = -1864 + b. What is the common denominator of (150\/(-72))\/((-2)\/20) and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 23. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -352, -3066, -10672, -25696, -50664, -88102?\n\"Answer: -421*t**3 + 80*t**2 - 7*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26698664 is divided by 301.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 29*q**2 + 2*q + 3. Calculate r(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 6*x**2 - 6*x - 7. Let c(h) = 81 + 2*h**3 + 8*h**2 - 164 + 10*h - 27*h**2 + 81. Let w = 20 + -11. Let m be c(w). Calculate q(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-22)\/385)\/(2*(-25)\/70).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*k + 33 + 65 = 0, -4*k - 106 = 75*s - 76*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/((-6880)\/48)*(-3)\/((-27)\/(-12))*3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -76*k - 44. Calculate j(-4).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p - 155. Let d be u(-19). Calculate the least common multiple of (d + -2 + 1)*28\/6 and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-21))\/(142\/1065).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4 - 3*h + 3*h)*(2 - 1 + 1)*(2*h**4 - 4*h**4 - 2*h**4).\nAnswer: -8*h**5 + 32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 49 = 4*j. Let g be (j + 5)*(-25 + -3). Let o(l) = 2*l**3 + 7*l**2 - 2. Let p be o(-3). What is the greatest common factor of p and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -200 - 415116?\nAnswer: -415316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*b - 25653 = 6*b + 4970 for b.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-12)\/100 - (3 - (-132)\/(-80)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -0.5 (c) 110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 - -169.5. Put r, 0.4, 2.4 in decreasing order.\nAnswer: 2.4, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*n**2 - 2087443 - 2087454 + 4174897.\nAnswer: 67*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (-1 - (-5 + 6)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let q be (-374)\/4*l\/4. Let y = 47 + q. Is y equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q + 568*q**2 - 567*q**2 - 34*q + 60*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n - 191 + 16*n + 633 + 372.\nAnswer: 2*n + 814","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -6838001*(-9)\/(18\/2). What is n rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 15 = -k, -k + 1544*s - 1549*s = -87 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1794 - -316785155419\nAnswer: 316785155418.8206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*k + 10, -1300*m - 2*k - 4 = -1305*m. Solve m = -422*b + 407*b + 90 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18097*z**3 - 4731*z**2 - 740087024 wrt z?\nAnswer: 54291*z**2 - 9462*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26153208 and 3979836?\nAnswer: 183072456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132109740 to the nearest integer?\nAnswer: 11494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9680*a**2 - 13640*a + 4805.\nAnswer: 5*(44*a - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/35)\/(126\/(-315)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 205, 811, 1821, 3235, 5053, 7275?\n\"Answer: 202*b**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203720.09 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(375) + 2*((sqrt(375) - -1*sqrt(375)) + sqrt(375)) + sqrt(375))\/(sqrt(50)\/sqrt(40)*1))**2.\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/11)\/c)\/c*c*c)**(-1\/2))**(3\/5) assuming c is positive.\nAnswer: c**(3\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + o - 2*o + 14, 0 = -5*b - 4*o + 35. Let x(l) = l - 1. Is x(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8990 and 31310?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a1 + 6?\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/14 and -7\/814.\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-259)\/74*6*(-6)\/(-63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) 3142 (d) -1\/58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 217*b**2 + 157 - 161 - 265*b**2 to the form o + m*b**2 + j*b and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501331983?\nAnswer: 3, 101, 1654561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 7. Let t = b + 13. Let o(g) = 39*g - 27. Let w(h) = -3*h + 2. Determine t*o(j) - 27*w(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -260815 + 2?\nAnswer: -260813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/2 + 4 + (-245)\/(-105). Which is the third smallest value? (a) -3\/5 (b) 0.1 (c) 8 (d) 0.06 (e) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 24357291?\nAnswer: -19\/24357291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/12762004 and 51\/1764958.\nAnswer: 165906052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 + 4*n + 3. Let c be w(-4). Let t be ((-2)\/(-5))\/(21\/c). Factor 0 + t*k**4 + 2\/3*k - 2\/3*k**2 - 2\/3*k**3.\nAnswer: 2*k*(k - 1)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-111)\/30 + 4)*8\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 17. Let f be 6\/v + (-112)\/(-18). Suppose 0 = -f*q + 5*q + 2. Solve -8 = 3*o + q*n, -5*o - 7 = 3*n + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6024838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/16 or 6?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 123\/7, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1.4 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*j - 1813 = -20, 4*g - 7138 = 5*j. What are the prime factors of g?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 5. Let c(z) = z**2 - 15*z + 40. Let v be c(3). Solve -v*h + 2*h = u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16772207849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 9*w**2 - 837*w + 4800. Determine f(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**6*o - 38*l**4*o + l**3*o - 8*l**2 + 19*o wrt l?\nAnswer: 720*l**3*o - 912*l*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 3.7. Let t = 71 + -73.9. Let d = 3 + t. Which is the closest to d? (a) 1\/4 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/5))\/c*c\/c**(-1\/3))\/((c\/(c\/(c\/c**(-2\/11))*c))\/(c*c\/c**(-10)*c)) assuming c is positive.\nAnswer: c**(2269\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**3 + 3*y**3 + 0*y**3 + (0*y - y + 0*y)*(-y**2 + 2*y**2 + y**2) - y**3 - y**3 + 4*y**3 - 2*y**3 + 0*y - 3 - 4*y + 6*y.\nAnswer: -4*y**3 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/6071 or 1?\nAnswer: 44\/6071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*s - 5*a, 3*a = 5*s + 2*a - 35. What is the remainder when 153 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 1228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(76) + sqrt(76) + 3 + sqrt(76))*-1)**2 - (-2 + sqrt(76) + -3 - sqrt(76) - sqrt(76)))*-1.\nAnswer: 190*sqrt(19) + 3490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13474262 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:46 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -77*n + 41*n + 38*n. Let p(y) = -2*y + 4*y - 3*y. Give p(f(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-17\/3)\/(c**(14\/9)\/c) assuming c is positive.\nAnswer: c**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 515156004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -6. Let x = s + 16. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 9 + x**2 - 8 + x + x**2. Calculate r(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-one halves of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnqnn. What is prob of sequence qnq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 5. Let q be i(-2). Let t be 6\/(-2)*(q - 1). Let g(s) = -s + 1. Let k(b) = -7*b + 5. Give t*g(y) + k(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 75 = -17*t, r + 19*t - 18*t + 4 - 3 = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = m + 17. Suppose 0*n - 20 = -b + 3*n, -3*b + m = -3*n. Differentiate -14*g + b*g - 5*g**4 - 3 with respect to g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 555128 and 4872024.\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 944057417887?\nAnswer: -944057417886.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 - 44*z\/3.\nAnswer: -2*z*(z + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-722)\/4)\/(-19))\/((-1)\/(-38))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.344 - -739.656. Let p = g - 849.1. Let z = -102 - p. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y\/y**8*y)\/y))\/y*y*(y*y**1)\/y)\/(y**(-2\/11)\/y*y*y**(1\/9)\/y) assuming y is positive.\nAnswer: y**(898\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.67, -15545, 3?\nAnswer: 3.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -486, -891, -1310, -1749, -2214, -2711?\n\"Answer: -t**3 - t**2 - 395*t - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7451 is divided by 623.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**2. Calculate the remainder when -4 + 3 - (-18 - 0) is divided by i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 1 + 0)*(-5)\/10. Calculate the common denominator of -113\/14 and (s\/21)\/(1 - 362\/354).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -492495.3 to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17e8 + -d?\nAnswer: -17f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*-1*-1)\/(sqrt(11) - 5*sqrt(44)\/sqrt(4) - sqrt(11)))\/(((2*sqrt(126))\/sqrt(7))\/(sqrt(18)*5)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4686\/7*p + 388*p**2 - 8\/7*p**4 + 398\/7*p**3 + 144 = 0. Calculate p.\nAnswer: -3, -1\/4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (46\/(-226))\/((-20)\/(-3194)). Let r = m + 3\/565. Calculate the common denominator of 1 - (-1 + 141\/48) and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11889*t - 2488*t + 317*t + 22072*t as p*t + z and give p.\nAnswer: 31790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-1)\/(-36)) + 3. Let k = 82 - d. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310280528 to the nearest integer?\nAnswer: 17615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**5)\/(j**(-3\/5)*j))\/(j*(j\/(j**(-1\/3)*j)*j)\/j*j*j)**(-5\/12) assuming j is positive.\nAnswer: j**(629\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from laooaqaoaooaoay?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/23 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 - 143. Is n bigger than -113\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 999 - 576015?\nAnswer: -575016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1221 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = h. Find the first derivative of 4*k**4 - 3 + 3*k**h - 4*k**4 wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10563034 - -53?\nAnswer: -10562651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 344*q - 2062. Give o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*p = 0, 5*p + 7 = -3. Suppose 0 = m*i + i - 8. Solve -4*h**3 - h**5 + 6*h**3 - h + 2*h**4 + 0 - 4*h**i + 2 = 0 for h.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2\/(q**0*q)*q**(1\/5)*q**(5\/2)*q assuming q is positive.\nAnswer: q**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.52, 0.04, -1, 3, 2, 8.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8787 times 0.1?\nAnswer: 878.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 + r**4 - r**4 + r**5 + 4*r - 4*r + (4*r**3 - r**3 - 2*r**3)*(2*r**2 + 4*r**2 - 5*r**2) + r**5 + 4*r**5 - 4*r**5 - 23*r - 7*r**5 + 23*r.\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*d**2 + 197*d wrt d?\nAnswer: 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 at least as big as 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 + 100. Let i(c) be the third derivative of 0*c**4 - 3*c**2 + 0 + 1\/24*c**6 + 1\/30*c**5 + v*c + 0*c**3. Find the third derivative of i(a) wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1814*r**3 - 2*r + 74 + r**2 + 3*r - 1815*r**3 in the form i*r + j*r**3 + z*r**2 + u and give u.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 68) + 100 - (-9 + 50)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184.2137 rounded to the nearest 10?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1428\/(-798)*19 + 129\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 409.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -49055 divided by -3?\nAnswer: 49055\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*(12\/(-33))\/(-2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3 + 2*m**4)*(-90*m - 107*m + 113*m) + (2*m**5 - 4*m**5 + m**5)*(1 - 1 + 2).\nAnswer: -170*m**5 - 168*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -265c + acb?\nAnswer: -1971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 5*b + 10 = 0, 3*b = -4*f + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 614.9 or 8?\nAnswer: 614.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/11 and -59\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/100 and 17\/378.\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*a + 0 + 1\/4*a**2 = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011 (base 2) in base 14?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g. Let b(z) = -3*z. Let d be ((-48)\/(-56))\/((-4)\/(-14)). Let a = 106 - 110. What is a*b(c) + d*j(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, -11, -3 in decreasing order.\nAnswer: 11, 2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 1. Let a(w) = -5*w**3 + 19*w**2 - 25*w + 28. Let s(j) = -a(j) - 4*k(j). Let f be s(18). Let b = f + -46. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 7*s**3 - 8*s**3 + 28 - 39 + 6*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:18 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 7. Let m(o) = 3*o + 28 + 1 + 17 - 5. Let i be m(-12). Let u(g) = g + 4. Determine i*u(w) - 3*y(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 1479.\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -2168.034?\nAnswer: 6504.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.777406 to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.074 + 42.\nAnswer: 41.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/27))**(-48))**37 assuming r is positive.\nAnswer: r**(1184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 202416515 divided by 5\nAnswer: 40483303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 equal to -4.306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.97958l to millilitres.\nAnswer: 1979.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q. Let a(j) = 2*j. Let u(w) = -24*a(w) - 5*d(w). Let v(r) = 4*r. Let o(l) = 0 - 3 - 3*l + 3. Let b(x) = -5*o(x) - 4*v(x). Calculate u(b(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26688.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55658496161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/14 + 15\/28. Let d = -70 - -88. Let n be (8\/(-10))\/(d\/12*-4). Which is the second biggest value? (a) -9 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 0 - (85 - 105)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 19*a**3 - 2*a**2 - 17*a - 14. Let t be 1\/(-8) - (-55)\/(-8). Let m(v) = 13*v**3 - 2*v**2 - 11*v - 10. Let n(y) = t*m(y) + 5*d(y). Factor n(i).\nAnswer: 4*i*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1968 and -133\/58428.\nAnswer: 9582192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/105 + 1 + 37\/(-35)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 30*p. Let n(z) = 26*z + 635. Determine n(r(i)).\nAnswer: -78*i**2 - 780*i + 635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + 1 + 0 - 4 + (-3 + 5 - 2*y - 1)*(0*y + 2*y**2 - 2*y - y**2).\nAnswer: y**3 + 5*y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/44*(-77)\/8?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259227853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**2 + 5752*s - 6*s**2 - 5752*s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 11*w**2 + 11*w - 9. Let u be n(10). Suppose -3 = -2*d + u. Calculate the lowest common multiple of d and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 + 69287*f**3 + 485075*f**2 - 1178007*f + 623646 = 0. What is f?\nAnswer: -9, 1, 69294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/48)\/((-2)\/(-16)). Suppose g + v*g = 0. Let k be (-4)\/(-2) + g + -2. Which is smaller: 2\/25 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96470857579 take away 514?\nAnswer: 96470857065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185562272 divided by 7331?\nAnswer: 25312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/((-16)\/(-12)))\/(-1). Let o be (-1 - 3) + (1 - 1). Let h be a\/6*o\/7. Is 2 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:11 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*(-33)\/(-12))\/((-13)\/(-182)). Calculate the highest common factor of 66 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*r**3*s + 21511*r**3 + 48*s wrt s?\nAnswer: 55*r**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Differentiate -2*l**2 + l**2 - 1 - l**r with respect to l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrj when three letters picked without replacement from {e: 3, r: 1, j: 16}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-4 + (-17)\/(-1)). Let v(a) = 7*a**2 + 29*a + 47. What is the units digit of v(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3003 + -26332?\nAnswer: -32335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21858, -43766, -65674?\n\"Answer: -21908*f + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**5\/15 + p**4\/4 + p**3\/3 - 223*p**2. Let t be g(-1). Let b be (-28)\/3*(-3)\/(-24). Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/7 - 744*p**4\/7 - 136888*p**3\/7 + 556512*p**2\/7 - 559504*p\/7 = 0. Calculate p.\nAnswer: -374, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -12. Suppose g*d + 3*d - 10 = 0. Suppose -c - 2*a + 14 = -10, 0 = -d*a + 6. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2.9, -3, -2\/3, 4, 5.1 in increasing order.\nAnswer: -3, -2.9, -2\/3, 2\/9, 4, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 566893 and 1611?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/63 (b) 11 (c) 3\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24675, -49389, -74105, -98823?\nAnswer: -123543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2547 + -1746. Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 12. Let a(r) = r + 3. Let p(t) = -9*a(t) + 2*z(t). Let b = 3 - 0. Let y(c) = 3 + 2*c + b - 4. Give -4*p(k) - 5*y(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f = 4*g - 8, 0 = -5*g - 3*f + 10. Let t be (g + -124)\/(2\/10000). What is t rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 - 3*w + 11. Let i be j(0). Suppose i*d - 130 = 6*d. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 92956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-7 - 0) + (-2 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - (12 - 11)) + 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -984 - ((-10 - -6) + 4). Let t = u - -5041. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**2 - 3*y**2 + 4*y**2)*(0 + 0 + y)*(4349*y + 9833*y - 379*y) to z*y**3 + w*y**4 + f + c*y**2 + g*y and give w.\nAnswer: -27606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*b = 26008 - 4646 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 2*u - 88. Suppose 0 = -u*i - 1231 + 13694. List the prime factors of i.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(3024) - sqrt(126)\/(2*sqrt(6)))\/(5*5*2*sqrt(147)).\nAnswer: -213*sqrt(7)\/350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -66*x - 4*x**2 + 3*x**2 + 5 + 143*x - 72*x. Let w be b(6). Let o be (-4)\/(-12) - w*4\/(-12). Is o at least as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -73*p. Let w(g) = 2968*g. What is a(w(r))?\nAnswer: -216664*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by -1243342\nAnswer: -43\/1243342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-30)\/18)\/((-65)\/358761)?\nAnswer: 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(65) + (sqrt(65)*-2 - sqrt(65))))\/((sqrt(80)\/sqrt(4))\/sqrt(4)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*o + 168 = 148*o. What are the prime factors of (101 - -3) + (-14 - o)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12685, -25373, -38063, -50755?\n\"Answer: -v**2 - 12685*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270*d**2 + 21*d**2 + 2*d - 63*d**2 + 2*d + 2 to q*d**2 + t*d + m and give q.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -389118 + -634?\nAnswer: -38974c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 216 = -4*j + 7*p, 5*j + p = 264. List the prime factors of j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 13*q - 7*q. Put q, 2, 4, 1 in descending order.\nAnswer: 4, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -211?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2842*-4*952\/408.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*f**5 + 19*f**2 - 309*f + 14*f**2 - 33*f**2 wrt f.\nAnswer: -620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.04666\nAnswer: -0.009332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyjyjyyyyj. Give prob of picking 4 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 38.59. Let o = -1.31 - -136.31. Let l = o + -135.1. Is l smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 7:50 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -755, 370, -4, 0.06 in decreasing order.\nAnswer: 370, 0.06, -4, -755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**2 - 7*n + 35. Let j(b) = -8*b**2 - 10*b + 50. Let u(z) = -10*h(z) + 7*j(z). Let f(o) be the second derivative of 5*o**3\/6 - o. What is f(u(x))?\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*l - l = -44, q = l + 25. Suppose -3*u = -3*x - 0*u - q, -4*u = x - 11. What are the prime factors of (x\/(15\/166))\/((-2)\/6)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*p**3 + 1255*p**2 + 2100*p.\nAnswer: 5*p*(p + 12)*(18*p + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*g + 2, -2*r + g + 4*g - 6 = 0. Solve -2 = r*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -16 - -25) + -33 + 35\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/65259 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 h, and 1 d when four letters picked without replacement from rrrqhdoyrqhy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321114 (base 5) in base 2?\nAnswer: 110011100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/16))**36 assuming u is positive.\nAnswer: u**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1107*w - 26903. Calculate t(-25).\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8099349 divided by -2?\nAnswer: 8099349\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 7. Let b be h(-6). Solve 3 = -b*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -137? (a) 3 (b) 15 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (0 - -3) + -4 - -4) + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*o - 1202*o + 139501 = 239*o - 8855 for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 - -2 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 12\/7 (b) -0.134 (c) 1 (d) -1\/172\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2 (c) -7 (d) 1 (e) 36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -25*n. Let q(y) be the second derivative of n - 3*y + 0*y**5 + 1\/2*y**3 + 0*y**2 + 0*y**4 - 1\/5*y**6. What is the second derivative of q(b) wrt b?\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/7312 and -101\/1828?\nAnswer: 7312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -40. Suppose 6 = q*s - 6. Solve -3*d - s*f = -2*d - 8, 0 = -2*d + 2*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0, -76 in increasing order.\nAnswer: -76, -27, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1979?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342 + -260520?\nAnswer: -256178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-36) - (-136)\/(-352))\/(20\/22)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.02 + -18. Let t be (-30)\/(-4)*(-2)\/(-3). Suppose 0*a - 3 = -5*a - z, a = t*z - 15. What is the nearest to a in k, -1, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3378940 and 10492.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 5*c**2 + 23*c - 6. Let d be n(9). Is ((-4)\/(-8)*8)\/(10\/d) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*o + 2*j - 6, -2*j = -5*o + 24. Suppose -5*v + o*v + 5*y + 40 = 0, v - y - 24 = 0. Calculate the remainder when 49 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7166 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*k - 18 = 0, 2*x + 32 = -7*k - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 b when three letters picked without replacement from eeebaaedeeaaazb?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1. Let u = -1 - -3. Let f(m) = -2*m + 3. Let h(i) = u*c(i) - f(i). Let k(a) = a**3 - 7*a**2 - 19*a + 12. Let l be k(9). What is h(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 - 224 + 51588*m**2 - 51597*m**2 + 447.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 21*u + 15*u + 280. Let c(f) = 30*f + 187. What is c(u)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**2 - 2*s + 1. Let w be 1\/(((-3)\/(-9))\/(3\/9)). Give r(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 + 109*o**4 + 1308*o**3 + 5872*o**2 + 10816*o + 6144.\nAnswer: (o + 1)*(o + 4)**3*(o + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let i(h) = -23*h - 11. Let k be i(-2). Suppose -o + 3*o = 4*p + 46, 2*p - k = -o. Let l(r) = -10*r + 76*r + 5*r + o*r. Give l(z(v)).\nAnswer: 200*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.671766km?\nAnswer: 567176.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 399, 125, 3 in descending order.\nAnswer: 399, 125, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 75, 5, -0.25, -5\/2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247.6 + -247.3. What is the fourth biggest value in t, 34, -5, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 2}. What is prob of picking 1 y and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131241132 (base 5) to base 12.\nAnswer: -273a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5))**(2\/109)\/((t*t\/t**(-19))\/(t*t**(-2\/35)\/t)))**(-17) assuming t is positive.\nAnswer: t**(1371611\/3815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grdkbri. Give prob of sequence ridr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9) - 555\/(-9). Let l = 98 - b. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 23*j - 17*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, d: 5, r: 1, k: 1, x: 1, j: 1}. Give prob of picking 1 t and 1 x.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*2*sqrt(156)*-6)\/(4*sqrt(60)\/(-1*sqrt(180))).\nAnswer: -270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2043 (base 5) to base 2.\nAnswer: 100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21*-9*(-2)\/126. Solve 4*n + 8 = -4*o - 20, -u*n = -4*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7411 (base 8) to base 14\nAnswer: -158d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7, 3, -4, 7 in descending order.\nAnswer: 7, 6, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4, -2*d = -4*a + d + 430. Let x = -91 + a. Suppose x*o = 11*o - 236. Is -59 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-20*(-15*(-1)\/(-10))\/354).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -24*t - 278. Suppose 17*a = -v + 18*a + t, -2*a + 282 = 2*v. Calculate the least common multiple of 4 and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o. Let u(s) = -158*s. Let m(i) = 7*i. Let h(t) = -22*m(t) - u(t). Calculate h(c(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 0*y + 5 + 4*y)*(-2 + 2 + 4*y + (-1 - 2 + 5)*(-2 + y + 2))*(-2 + 3 - 3).\nAnswer: 24*y**2 - 60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o - 9*o - 15*o - 15*o + 3772*o**2.\nAnswer: 3772*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 + 148 = 10*u. Suppose -26 = -0*y - 2*y. What is the remainder when 2 - 0 - (-7 + u + -6) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -12, 718?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1696.3 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/463 - 26419\/1852. Find the common denominator of 31\/20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-45)*54963\/(-985).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -8 + 3 + 5 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4309 + 12514 = 40*h - 64595. What is the lowest common multiple of h and 312?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/(-48)*1566\/(-667)\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (144\/(-10))\/4*10\/(-6). Let u(l) = 3*l**2 - 5*l. What is the remainder when u(t) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-18)\/x)\/((x*x**14\/x)\/x) assuming x is positive.\nAnswer: x**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*i - i, -2*s = 2*i - 214. Calculate the remainder when s is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12886509 divided by -4295503\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1206 = -1194. Solve -q*v = -4*s - 7, -3*v - s = v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611107367?\nAnswer: 3, 19031, 28219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.065 - -0.065039. Round w to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**3 + 30*z**2 - 3*z - 36.\nAnswer: 3*(z - 1)*(z + 3)*(3*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -13. Let s = -0.2 - -0.2. Which is the third smallest value? (a) -6 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/6 and 83\/86328.\nAnswer: 86328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**5\/10 - 3*l**4\/2 - l**3\/3 + 9*l**2 - 54*l + 104. Let o(t) be the first derivative of f(t). Solve o(c) = 0 for c.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716511 is divided by 478?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 34797721\nAnswer: 13919088.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -314?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(14)\/sqrt(2))*4*-3 - (((sqrt(14)*3 - sqrt(14)) + sqrt(14))*3 + sqrt(14))\/sqrt(162).\nAnswer: -118*sqrt(7)\/9 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16909670, -16909675, -16909680?\nAnswer: -16909685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 807895\/(-29378) - (3*22)\/(-2).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3485 - -3592. Solve t*n - 22 = 118*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3206 - 83?\nAnswer: -3289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 101. Let r = -87 + 143. Let v = r + k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2784)\/(-3248))\/(8\/28*3\/(-32))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/45)\/((-1)\/(-9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3 - 18232*r**2 - 28751*r + 2?\nAnswer: 6*r - 36464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1)\/(3\/117)*121\/(-363)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let m(q) be the third derivative of -q**8\/4032 - q**5\/30 + q**2. Let o(p) be the third derivative of m(p). What is n(o(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -565025.\nAnswer: -3\/565025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.1 - -52.1. Sort u, -2\/9, 2, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -205, -255, -335, -451, -609, -815?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -512, -478, -402, -272, -76, 198, 562, 1028?\n\"Answer: 2*f**3 + 9*f**2 - 7*f - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**3 - 2*i**2 - i. Let n be u(-1). Suppose 16 = -s + n*s + 2*x, -4 = -2*x. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*g - 40 = 7*g, g = -3*v - 25. Let a(c) = -8*c - 16. Let k be a(v). Let z be k\/(-9) - 24\/(-6). Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -307 - -342. Calculate the remainder when g is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107*d*l**2 + 33*d*l - 2483*d + 2 wrt l.\nAnswer: -214*d*l + 33*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from ahttthhthh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.1. Let s = -4.10649 - -0.10649. Which is the fourth biggest value? (a) 0.04 (b) s (c) t (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n. Let p(v) = 39*v + 886. Let k be p(-23). Let u(y) = 13*y - 1. Determine k*g(x) + 6*u(x).\nAnswer: x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 18. Sort o, -2, -4 in decreasing order.\nAnswer: -2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000781 rounded to 7 dps?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1497*c**2 + 137*c**3 + 3*c**4 + 434 + 100*c**3 + 2775*c**2 - 12*c**3 + 2508*c + 1222 = 0. Calculate c.\nAnswer: -69, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-250)\/(-100)*92\/(-10))\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4827*l + 9873 + 26645 = -219313 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = 20. Suppose -4 - 16 = o + 4*p, -o = p + t. Suppose -3*u = -4*j + 11 - 37, o = u - 3*j - 2. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 q when three letters picked without replacement from qllpn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 14*b - 11*b. Let c(i) be the third derivative of -i**4\/6 - i**3\/2 - 6*i**2. What are the prime factors of c(b)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:28 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)*(i**(-32)*i)\/i*i assuming i is positive.\nAnswer: i**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/83 in -4, 3, 2\/3, 1, 150\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 549*t**2 - 6*t - 6. Let d(k) = 72468*k**2 - 793*k - 793. Give 793*b(c) - 6*d(c).\nAnswer: 549*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 3*s + 8*s + 204. Put -2, -10, -3, s in descending order.\nAnswer: -2, -3, -10, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/2)\/(1\/(-2)). Suppose 8*g - 10 = 3*g. Which is the third biggest value? (a) -1\/5 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 796 and 2388?\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckqqqqrqrrkrrrqrrk. Give prob of sequence rrkq.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Suppose -5*a + 35 = 5*k, 0 = -n*a + 3*k + 18 - 4. Suppose 0*t + 4*j = -5*t - 6, 2 = -a*t - 3*j. Solve 7 = -b + t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 - 190*w**2 + 514*w - 430. What is h(-66)?\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*a**2*l*x - 18244*a**2*x + 2*a*l*x - 27*a*l + 2*x - 6458 wrt a.\nAnswer: -92*l*x - 36488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53*-1.2.\nAnswer: 63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4017593634.\nAnswer: 2, 3, 669598939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/5 - 20\/(-50). Solve -x + u*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 5*b**2 + 5. Calculate the remainder when 12 is divided by u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from ttbybtbbbvsbby?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.616 + 2.316. What is the closest to 2 in u, -4, -257?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -483473736 to the nearest 1000000.\nAnswer: -483000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -442*q + 15890. Calculate g(35).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*y + 30*y - 1351 = -54*y. Solve 50 = y*v + 36 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + 2*t - 2*t + 86*t.\nAnswer: 63*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*i**2 - 7*i + 7*i)*(-3*i**2 + 2*i - 2*i) in the form y*i**4 + w*i + t + s*i**2 + r*i**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5401516.\nAnswer: 2, 1350379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*c + 1701 = 3*h, -2*c + 4267 = 5*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 555 + u**2 + 60 - 28*u + 30*u.\nAnswer: u**2 + 2*u + 615","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Suppose -30*g + 26*g = -64. Let m(h) = -h - 2*h + 3*h - g*h**2. Calculate m(a(z)).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + x**2. Let c be b(1). Let s be 3 - (c - -2)*1. Solve 0 = -3*p + s*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24439968 divided by 1.\nAnswer: -24439968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 524861 and 341?\nAnswer: 5773471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 810*k + 32 + 952*k.\nAnswer: 1762*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1144997484 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 66*0.0098\nAnswer: 0.6468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 46*o - 371. Let j be a(-53). Solve -3*s - 8*s + 55 = j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*t + 44 = 0, -4*t - 14 = 6. Does 8 divide 1 - -38 - (g - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 48 = -45 + 75, 14*d + 14 = 10*d - 5*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(-2*-1*sqrt(9))*-6*3 - (-2 + 2*(sqrt(1539) - (sqrt(1539) + 0) - sqrt(1539)) + -2)**2.\nAnswer: -6172 - 153*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444687.\nAnswer: 3, 148229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -25. Let i = x + -21. Is -1\/8 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 128*d**2 - 2338*d + 130. What is i(22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 11*a + 0*a**4 - 13\/42*a**7 + 4\/3*a**3 + 0 + 0*a**5 + 0*a**6 + 0*a**2. Find the second derivative of j(v) wrt v.\nAnswer: -260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11424 (base 5) to base 11\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4059 divided by 33\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*v - 19 = -3, -5*n - 2*v = -34. Calculate the least common multiple of n and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2715 + -2151. List the prime factors of l.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*y + 68 + 8, 5*y = 4*a + 76. Let t(m) = -m - 10. What is the units digit of t(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 13. Let f be 1\/(-4) + (-7)\/(-4). Let l = -0.12 - -0.02. Which is the nearest to l? (a) u (b) -3\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Find the third derivative of -21*y - a*y**4 + 3*y**2 + 21*y wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-504)\/70)\/4)\/(1\/((-10)\/2))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263463*j**4*z**3 - 37*j**2*z**3 - 5*j**2*z**2 - 380*z**3 wrt j.\nAnswer: -6323112*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 11*h + 0 + 2*h to the form s + d*h and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6558.00349 + 0.2\nAnswer: -6557.80349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -39. Let a be (75\/35)\/(6*o\/42). Solve 2*j - j + 3*k - 15 = 0, -a = -3*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 20 = -3*b - 2*v, -5*b + 4*v - 95 = 0. Let w = 496 - 489. Calculate the remainder when b\/(-2)*(-18)\/(-5) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 6*r**3 + 2*r + 15*r**3 - 6*r**4 + 10*r**3 - 2*r**3 - 2*r**2 in the form a*r**2 + o*r**3 + u*r + t + x*r**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12. Calculate the remainder when -5*((-142)\/10 + r) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761192442 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1157 (base 9) to base 7.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -581 less than 24?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 5*k + 3. Suppose -4*m - 16 = 4*l, -4*l - 10 = 3*m - 3*l. Let j be -5 + 3 + (2 - -1). Let w = j - m. Determine h(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8845, -17658, -26471?\nAnswer: -35284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.07242, 1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1808, 1.2, 0.05, -1\/7 in ascending order.\nAnswer: -1\/7, 0.05, 1.2, 1808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*z**5 + 48*z**5 - 334*z**2 + 89*z**5 + 266*z**5 + 69*z**5 wrt z.\nAnswer: 22740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6123.\nAnswer: 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67717 - 0.74.\nAnswer: 67716.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1960\/42)\/35*14*(-3)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-125))\/(1\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**4 - 188*h**3 - 677?\nAnswer: -12*h**3 - 564*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + (sqrt(325) + (sqrt(325) - sqrt(325)*3)*5 + sqrt(325))*6*1)*-4)**2 + -1.\nAnswer: 11520*sqrt(13) + 11980835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -30*q**2 - 571*q - 2341. Give x(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 19*d**2 + 6*d + 1. Let i be x(-3). Let o be (5 - 6)*(0 + -1). Let l be (16 - 1 - o)*1. What is the greatest common factor of i and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 8. Let m = 5 + 1. Let b(n) be the second derivative of n**4\/4 - 7*n**2\/2 - 25*n. Determine m*b(d) - 5*z(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 308039688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162545036.\nAnswer: 2, 40636259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*r\/(r\/r**0*r))\/r)\/r)**23)**(-18\/7)*(r*(r**(2\/3)*r)\/r)**(19\/5)*r*r\/r**(-1\/2)*r**(-3) assuming r is positive.\nAnswer: r**(2729\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Let q(b) = b - 5. Let t be q(8). Put t, v, 1 in descending order.\nAnswer: v, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 139*k**2 - 16*k - 2. Let r = 239 - 232. Is f(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13928 - -17216. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4032 + 4032.2. Let k = -0.2 + 0. Let t = 0.18 + k. What is the second smallest value in t, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 = -5*g + 4*g + 12*g - 3*w, -g + 5*w + 31 = 0 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 275 - 276. What is the fourth biggest value in -2\/15, q, 2, -0.12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 0*h**2 + 0*h**2 + (-2*h + 2*h + 2*h)*(-1 + 2*h + 1) + 5*h**2 - 254*h + 254*h + 3*h - 3*h + 2*h**2 + (-1 + 3 - 3)*(0 + h**2 + 0).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1.4, -2, -0.1, 312, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12220 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l - 32. Let t be f(-4). Is 635 - t*4\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.04 - -2. Let h = 0.713 + -0.75296. Let w = h - t. What is w rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c**2 + 6*c + 4. Let q(m) = -21*m**2 + 13*m + 9. Let f be 39*((-8)\/(-12) - 1). Give f*g(s) + 6*q(s).\nAnswer: 4*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -83*u**2 - 7*u - 8. Calculate w(-3).\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 3*d**2 + 2*d - 5. Let m(i) = -3*i**3 + 4*i**2 - 5*i + 9. Suppose -6*w = -w - 5, 0 = q + 2*w + 3. Let n(o) = q*s(o) - 2*m(o). Give n(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 625*h**3*v**2 + h**3*v - 765*h**3 - h**2*v**4 - 2*h wrt v?\nAnswer: 1250*h**3 - 12*h**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2 - 75578*c + 377840 = 0.\nAnswer: 5, 37784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -517177*a**2 + 215*a*d - 94753162*d with respect to a.\nAnswer: -1034354*a + 215*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087801003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-82)\/2665*-13)\/((-20)\/(-770))?\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4734972 times 0.07\nAnswer: -331448.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3437263\/186 - 18480. Let k = -58055\/31 + 1873. Let q = k + w. Which is smaller: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350, 5783, 13172, 23517, 36818, 53075?\nAnswer: 72288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017989 to 5 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5636900 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/15 + 949\/(-65). Let b be (-4)\/6*-1*3. Put n, -4, b in decreasing order.\nAnswer: b, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -560*d**2*w - 244513903*d**2 + 33486*d*w + 7*w wrt w.\nAnswer: -560*d**2 + 33486*d + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-10)\/4 + 3). Let u be 0 + b + (0 - -2). What is z in -2*z**u + 1 + 19*z**3 + z**4 - 19*z**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174839, 349676, 524507, 699332, 874151, 1048964?\nAnswer: 1223771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -2*z**7\/105 - 19*z**6\/150 - 6*z**5\/25 - 3*z**4\/20 + 13562*z. What is c in h(c) = 0?\nAnswer: -3, -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -10. Let p be ((2 - (-45)\/(-20))*-524)\/(-1). Let d = -129 - p. Solve 0 = -2*m - c - y, d*c + 2*c = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0112732 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 10881.\nAnswer: -2, -1, 10881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**3 - 47*u**2 - 1316*u + 1. Determine r(25).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k + 11. Let v be d(4). Let w be v\/(-2)*(-84)\/(-35). Is 30 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6741.584 grams to kilograms.\nAnswer: 6.741584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 13. Suppose 18 = -4*a + 6. Let g be ((4 - 2) + 1)*a. Is w(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/50 + 3282\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2 - 2420*z - 1464100 = 0.\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4602 and 14.\nAnswer: 32214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + 0.12. What is the nearest to 2\/5 in -1\/6, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + 13. What is the greatest common factor of n and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 116 = 32. Let k = -34 - v. Suppose 2*r = k*x - 292, -r + 89 = -0*x + x. What are the prime factors of x?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 1232940531 to the nearest 1000000.\nAnswer: 1233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -140945 bigger than -140943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -12. Suppose 5*t + v = 14, w = t - 4*v - 6. What is the highest common divisor of 6 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 490 * 1\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -149 - (1417 - 1620)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -945, -1950, -2989, -4062?\nAnswer: -5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 o when three letters picked without replacement from jmiijijmoiiyyjojojaj?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -19*w + 4*l - 2, w = 2*l + 2. Solve 2*p + w*o - o = -12, -p - 3*o - 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*1\/(12\/20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 920 - 845. Suppose u = 44*o - 39*o - k, -2*k + 32 = 3*o. Let v = 103 + -50. Calculate the remainder when v is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25294 + 25294. Sort t, -6, 14, -3, -5.\nAnswer: -6, -5, -3, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/u*u**(-4\/13)*((u**(-2\/3)*u)\/u)**50)**(3\/5) assuming u is positive.\nAnswer: u**(-1039\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 31342.\nAnswer: 5\/31342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 6. Let h be 3\/18*(131 + -41). What is the highest common divisor of t and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2980\/(-894) - 68\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**2 + 11*f. Let n(b) = 5*b**2 + 11*b. Calculate -4*n(j) + 3*u(j).\nAnswer: -2*j**2 - 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 43*l**2 + l**4 - 6*l + 23*l - 16*l in the form y*l**3 + a*l + k*l**2 + t*l**4 + p and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (34\/(-221))\/((-4)\/52). Let v be 1*(2 - -1)\/3. Put -8, v, z in descending order.\nAnswer: z, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*c = 13, -7*c + 2*c = -t - 2. Solve 5*x + 2 = -p, p + 2 = -t*x - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = x - 35, x - 2*x = -4*y - 62. Let k be (x\/385)\/((-16)\/(-112)). What is g in -18\/11*g**3 + 4\/11*g + 0 + 14\/11*g**5 + k*g**4 - 10\/11*g**2 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*5250\/188125.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 485731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4 = 4*p + 20, -29*p + 59*p - 10*s + 28 = 28*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 114, 171, 230, 291, 354, 419?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -33, 28408 in increasing order.\nAnswer: -33, 5, 28408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 77. Let k = 64 + p. Let n = 0.22 - 0.12. Which is the nearest to n? (a) 4\/3 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -414 + 413. Sort 4, -2, b.\nAnswer: -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhh when four letters picked without replacement from {z: 4, h: 16}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 15*n**2 + 1\/60*n**5 + 0 - 5\/24*n**4 + 2*n - n**3. Determine a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 - -132. What is the second derivative of -5*z**w - 3*z**2 + z**3 + 51*z + 18*z**2 + 7*z**2 wrt z?\nAnswer: 6*z + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 1. Calculate f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 457192, 914259, 1371328, 1828399?\n\"Answer: m**2 + 457064*m + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, 152, 408, 756, 1190, 1704, 2292, 2948?\n\"Answer: -m**3 + 55*m**2 - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 2. Let p be 0 + (-2040000)\/((-6)\/x). What is p rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/9509, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 6*j - 9*j - o, 16 = -5*j - 3*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 = -5*w - 4*o, 4*w - 12 = -2*o. Let b(c) = -c**3 + 3*c**2 - 6*c + 6. Let t be b(w). Solve 0 = t*a - 2*y + 10, 3*y = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7a + 25791?\nAnswer: 2581b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10788124 is divided by 421.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.70173 - -13.3846. Let i = j - -1.32. What is i rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -1.1. Let l = -42 + 47. Let t = 0.15 + 3.85. What is the nearest to k in -5, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -677 - -709. What is the smallest common multiple of 8 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 + 4*b**2 - 2. Let j(k) = -21*k**3 + 21*k**2 - 11. Let t = 39 + -28. What is t*z(u) - 2*j(u)?\nAnswer: -2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 155. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 = -29. Let a(p) = -80*p - 13. Let m be a(u). Suppose -2*r + 5*r - m = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 0*a - l + 5, -19 = 2*a - 5*l. Let x be (12 - 9)\/((-18)\/(-4)). What is the nearest to a in 1, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2618 - -2626. Let m(b) = -5 + 22*b + 4 - 24. List the prime factors of m(g).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12684 or 12685?\nAnswer: 12685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*x**3 - 35*x**3 - 38*x**3 - 34*x**3 - 35*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -16*t**2. Let p(i) = i**2. Let n(a) = -b(a) - 5*p(a). Let d(c) = c. Give n(d(k)).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -9*h - 42 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 17. Let h be 310\/i*(-28)\/210. Let c = h - -71\/14. Sort c, -2, 2\/13 in descending order.\nAnswer: 2\/13, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1325001*o - 4. Let u be p(4). What is u rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -50, -108, -152, -176, -174, -140, -68, 48?\n\"Answer: b**3 + b**2 - 68*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/6*2\/(-24)*3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100201 - -101?\nAnswer: 101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 65*b**2 + 5*b + 4. List the prime factors of a(16).\nAnswer: 2, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -23. Suppose 5*s + 4*y = -15, 3*y = -4*s - 1 - 11. Sort s, 0.5, v in decreasing order.\nAnswer: v, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 i, and 2 f when four letters picked without replacement from {a: 1, f: 5, i: 2, q: 1}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 191*i**3 + 275?\nAnswer: 573*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxt when three letters picked without replacement from {s: 1, c: 1, y: 3, t: 2, r: 4, x: 4}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3989373 by -209967.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 100455 - 5?\nAnswer: 100450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 53. Suppose 0*t + t = -31. Let f = 63\/2 + t. Which is the biggest value? (a) 5 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**2 + 15*y**2 + 11*y**2)*(-72 - 14*y + 72) - 3*y**3 + y**3 + 3*y**3 + (-5*y**2 + 2*y**3 + 5*y**2)*(-3 + 5 + 0).\nAnswer: -233*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = i - 109, 3*i - 294 = -5*j + 88. Let r = -54 + i. Differentiate -27*l**2 + r*l - 65*l + 29 with respect to l.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-1))\/((-5)\/15). Let m be (l\/(-2))\/(84\/112). Let f(r) = -4*r - 6. Determine f(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 208 in decreasing order.\nAnswer: 208, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.07995 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*5 - sqrt(19) - sqrt(114)\/(sqrt(6)*2)) + -2.\nAnswer: -2 + 57*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74\/7985 or -3.2?\nAnswer: -74\/7985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 = -x. Let a be x - -6*(-8)\/(-12). Solve a*h = o + 3, 0*h - o = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/3 + 63928*d + 6705090 = 0. What is d?\nAnswer: -95787, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4323*i**2*t**3 + 130*i**2*t**2 - 9*i**2 wrt t?\nAnswer: 25938*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 264, 3, -7, -2 in ascending order.\nAnswer: -7, -2, -1, 3, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 1)*(-6)\/4. Suppose 9*r + 43 = 16. Is 4 + 0 - x\/r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -337849*v. Let y(t) = -t**2. What is y(s(b))?\nAnswer: -114141946801*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1238144, 2476288, 3714430, 4952576, 6190732, 7428904, 8667098, 9905320?\nAnswer: 11143576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*i + 13 = -0*i, -i - 3 = f. Suppose -j + s = -7, 10 + f = 3*j - s. Let d be (-4*j\/(-16))\/((-110)\/(-8)). Is d != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/3 + 9*s**2\/2 + s - 1. Let c = 133 + -125. Let q be l(c). Calculate the greatest common divisor of 63 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15053198 to the power of 1\/2, to the nearest integer?\nAnswer: 3880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvv. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -202428*k + 404839. Determine q(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 7. Let r(v) = -v + 3. Let l be r(-3). Let y(g) be the first derivative of -g**2 - 13*g + 1. Determine l*y(o) - 11*t(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 + 121765*m - 1827368. Determine f(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let k(b) = -6*b**2 + b + 2. What is -k(f) - 3*p(f)?\nAnswer: 3*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 32 - 54 = -4*j - 4, 9*t - j + 2*j = 49 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q**4 + 2*q + 2*q**2 + 1 + 5*q**3 - 35*q**3 - 22*q**4 + 11*q**4 to the form c + m*q**2 + n*q**3 + y*q + u*q**4 and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 17. Let j = y + 5.03. Suppose 5*q = 65, -5*t + 0*q - 33 = -8*q + 66. What is the closest to -2\/5 in t, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13111285 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/20 + 2\/4. Suppose u = 5*r - 14, 3*r - 13 = -2*r + 2*u. Suppose r*c - 3 = -3*p, 5*p + 3*c - 9 = 4. What is the biggest value in p, b, -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.15 times -56.84204\nAnswer: 65.368346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 5 + 0)*(2 - 3 + 2) - 4 + 7 + 0)*(-432 + 2*l**2 + 260 + 0*l**2).\nAnswer: 8*l**2 - 688","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 143\/44*(7 - -1). Suppose -5280 = 2*r - g*r. Calculate the smallest common multiple of r and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-14)\/(-21))\/((-4)\/(-2442))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -866 in 10, 0.3, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 914653373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*3*1)**2.\nAnswer: 11979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = 12. Let l be (-188)\/36 + g\/18. Put -4, l, -2 in increasing order.\nAnswer: l, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 13*w - 14. Suppose -f - g = -315 + 332, 2*f + 30 = -g. Determine x(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -3 - 12 - -6) + -2. Let n = 20.038 + -0.038. Let r = n + -19.5. Sort t, -6, r in descending order.\nAnswer: r, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1310*b + 90461. Determine a(69).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a - 21. Let d be k(-6). Suppose 0 = 3*b - y - d, -7*y + 8 = -2*b - 11*y. Suppose -b*v + 44 = 20. What is the remainder when 47 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*o + 2*j - 326, 0 = -o - 3*j + 168. Let m = o + -88. Let s = -57 + m. Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/814 and -13\/1826.\nAnswer: 67562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 9*b - b + 14*b - 5*b + 8*b to the form p*b + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 60 + 122*t.\nAnswer: 122*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-1)\/(-3)*0. Suppose 5*l = 3*r + 30, n*l - r = -l + 8. Solve -l*b - 2*b = 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1224\/28)\/((-2)\/(-14)) - -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/7)\/((-3)\/(-60 - 3)). Suppose h*t - 37790 = 44*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -240*y**5 + 5*y - 48?\nAnswer: -4800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7 + 5 = 0. Calculate the least common multiple of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1797 - 3676 + 443 - 1961 + 1416 - 2*s to the form k + r*s and give k.\nAnswer: -5575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/114?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3025 + 4?\nAnswer: 3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -113, -466, -1049, -1862, -2905, -4178, -5681?\n\"Answer: -115*q**2 - 8*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262164, -263188, -264212?\nAnswer: -265236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 8:29 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.47 + -0.67. Let j(z) = -3*z + 1. Let f(u) = u + 1. Let t(o) = 6*f(o) + j(o). Let x be t(-4). What is the closest to 2 in -0.3, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 7*u**2 - 7*u + 6. Let p be w(5). Determine b, given that 24 + 8*b**3 + 7*b**3 - 27*b**2 - p*b**3 + 3*b**4 + 6*b = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -208\/3?\nAnswer: -208\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l + 551513 = 550701 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4262000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000086534056 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3498251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.73? (a) -4 (b) 1 (c) 4 (d) 3402\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -293*t + 294*t - 4*r - 144, -3*t - 2*r = -362. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 9:16 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 138, 1, -0.49, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7)\/h**(3\/5) assuming h is positive.\nAnswer: h**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbj when three letters picked without replacement from jsbysnsbsyjjjssj?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 2*x + 2. Let i(f) = -8*f**2 + 2*f - 20. Let w(k) = -6*h(k) - i(k). Let y(m) = m**2 - m - 1. What is w(b) + 10*y(b)?\nAnswer: 6*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/14317212 and -97\/4772404?\nAnswer: 14317212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let b be o(-1). Let j(v) = 13*v**2 + 2*v + 1. What is the remainder when (-35 - 0)\/(2\/(-2)) is divided by j(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*4)\/(-2)*5\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**4\/6 - x. Let j(k) = -6*k. Let w = -17 - -8. Let c(d) = -3*d. Let g(v) = w*c(v) + 4*j(v). Determine b(g(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (-3*sqrt(192) + sqrt(192) + -3)**2 + sqrt(192)*5*6.\nAnswer: 344*sqrt(3) + 777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 25 = 5*a. Let j be (20\/(-3))\/((-24)\/36). Let h be (4\/10)\/(4\/j). Put h, a, 2 in decreasing order.\nAnswer: 2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, -3\/1724.\nAnswer: -2, -3\/1724, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 976, 983, 990, 997, 1004?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7882 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/81)\/(12\/(-9) + 2). Let k = -14 - -29. Let n be 4\/k*(-9)\/(-6). Which is the closest to 2\/11? (a) n (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4468 - -4470. Solve -n*j - 366 = -364 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-15 + 8525\/175 + -27)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 - 127. Let j(t) = 17*t - 12 + 2 - w. Let l be j(1). Solve 4*u = 2*u - l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13.84195 or 2\/5?\nAnswer: 13.84195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a - 5. Let j(g) = 173*g - 171*g - 4 + 5. Let s(r) = -5*j(r) - v(r). Let f(o) = -3*o**2. Calculate s(f(b)).\nAnswer: 69*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-26 - -27) - -25.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 29*j - 48. What is l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10263 a factor of 1347850053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -86. Let c(n) = -n + 11. Calculate c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let k(d) = d - 1. Let w(h) = 2*h**3 - 5*h + 7. Let i(m) = c*w(m) + 5*k(m). Differentiate i(p) wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 14*t**2 - 17*t + 36. Let l(y) = y**3 + 14*y**2 + 12*y + 3. Let i be l(-13). What is the units digit of x(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59.7 and 0.2?\nAnswer: 11.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13599 is divided by 4487.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 19 (b) 0.4 (c) -19 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20362 + 4153789\/204. Calculate the common denominator of 119\/24 and w.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-3)\/((-9)\/15). Let n(d) = d**3 - d**2 + 1. Let y(f) = -f**3 + f**2 - 2*f - 1. Let w(a) = t*n(a) - y(a). Factor w(z).\nAnswer: -2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from uftol?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1468 + 405. Is 41 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p. Let l(o) = 2*o**2 + 701 - 701 - o**2. Determine j(l(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -31. Let k be (9 - (5 + -4))\/(-2). Which is the fourth biggest value? (a) 0 (b) 2\/9 (c) t (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 19*k**2 + 34*k + 3. Let j = -21 - -38. Let a be z(j). Solve -4*o + a*w = 38 - 3, -o + 4*w = 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4854.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1299.3 + -1299.6. Let i = 4.1 - 7.2. Let f = i - -3. Which is the second smallest value? (a) f (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1304983143\/355483226 - -98739\/21037. Let r = 9\/1207 - v. Calculate the common denominator of (-199)\/(-12) + 3\/(-9) and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*y + n - 3*n, 0 = -4*y + 3*n - 39. Suppose -2*v - 21 = v. Let g = v - y. Sort g, -5, -2 in descending order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -26*b + 24 - 26 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(48) + sqrt(48) + sqrt(96)\/sqrt(2) + 5)**2 + sqrt(336)\/(sqrt(42)\/sqrt(6) + sqrt(7))).\nAnswer: -914 - 244*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/415 (b) 8\/19 (c) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332879.\nAnswer: 3, 444293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let k(m) = 267*m. Calculate k(y(s)).\nAnswer: -267*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) 4.5 (c) 2 (d) -15 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -50*k**5 + 355*k**4\/2 + 839*k**3\/2 - 283*k**2 - 14*k + 20 = 0.\nAnswer: -2, -1\/4, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 105 + 110 = 5*v, 0 = -8*r - 4*v + 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142924929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 21*a - 44. What is r(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n - 6. Suppose 4*i - 570004 = -2*u + n*i, -i = -5*u + 1424998. What is u rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 5 in increasing order.\nAnswer: -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -70, -137, -204, -271, -338, -405?\n\"Answer: -67*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 55. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvtvtgggvgvgrg. Give prob of picking 2 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19463 + 34912. What are the prime factors of q?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*x = -3*d + 177, 3*d - 193 = x. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 14*u + 78. Let q be n(18). Suppose 0 = -6*y - q*y + 14916. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -5*c - 3*x, 2*c + 0*c = 3*x + 112. Suppose -36*k + 24*k = -36. Sort c, k, 5 in descending order.\nAnswer: c, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 5*s**7\/42 - s**3\/2 + 6*s + 11. Let h(j) be the first derivative of b(j). Find the second derivative of h(z) wrt z.\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 82. Does 8 divide s(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 16 + 13698*x - 10 + 0.\nAnswer: 13698*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/24)\/(3150\/21600).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from vppvppvpvp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34612 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/273 + -937\/273. Let r = 103\/28 + x. Let u = -20.3 + 20. Which is the nearest to r? (a) u (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -15, 3*z - 2*b = z - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123712633.\nAnswer: 23, 233, 209687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102.7 + 34.3. Let s = -881.3 - -1026. Let c = h - s. What is c rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/12)*u**(2\/23)*u**(3\/4)*u\/u**(3\/7))\/((u\/(u\/u**2*u))**(1\/80))**(6\/13) assuming u is positive.\nAnswer: u**(373211\/251160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-189)*(-26)\/(-91)*(-511)\/(-4)*-9?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 586*s - 589*s + 8 = 0, -5*g - 5*s = -20. Which is the second smallest value? (a) 1 (b) 1\/4 (c) -18 (d) g (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 6) to base 3.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p - 5. Let w be y(6). Let m(h) = -63616 + 22*h + 63616. What are the prime factors of m(w)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 32*y**2 + 1231*y + 5330. Give i(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 128*w + 8. Let q(r) = -78*r + 32*r + 33*r + 15*r. Determine q(a(y)).\nAnswer: 256*y + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 5. Let w be -1 - (t - 213\/9). Let n = 21 - w. Which is the biggest value? (a) -0.3 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose -p*n + 4*n = 0. Suppose 7*s - 137 = -123. Solve s*t + 0*t + 1 = z, -t + 5*z + 13 = n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -153 (b) 4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-51)\/(-34) - -31038?\nAnswer: 3, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/100 - (-9)\/(-10))*(-10 - (-1632)\/17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287721690 by 57544338.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401605, -803225, -1204853, -1606489, -2008133, -2409785?\nAnswer: -2811445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57.05 + 0.95. Let r = h - 57.9999804. What is r rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2000563 (base 9) to base 8\nAnswer: -4034660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, t: 4, z: 6}. Give prob of picking 2 a.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duiduudyicjiuiii. What is prob of sequence ddi?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5891178 or -5891188?\nAnswer: -5891188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b - 23. Let g be z(-2). Suppose -l = -5*l - g*r + 74, -4*l = -3*r - 62. Calculate the remainder when 27 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 6:13 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 10*z**2 - 8*z + 9. Suppose 22*d - 9 = 23*d. Give b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3947 = -j + 3953 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122 - 10212002002?\nAnswer: -10211222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(10*s - 10*s - 22*s)*(1 + s - 1 + (-5*s + 3*s + 0*s)*(-3 + 1 + 1) + 10 - 1 - 2*s + 10).\nAnswer: 22*s**2 + 418*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -19\/243328?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.28 * -0.1\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000021020220 - 10?\nAnswer: -21000021021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1132, -2073, -3024, -3991, -4980?\n\"Answer: -u**3 + u**2 - 937*u - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 2*t**3 + t**3 + t**3 + 0 + 0 + (-t**3 - 1 + 1)*(2 - 3 - 1) - 2*t + t**3 + 2*t - 18 + 18 - 9*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:07 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 1479?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h + 6*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/4)\/(-7)*-4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35230 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1 - 3*r + 2*r + 3 + r**3. Let x be (-12)\/(-16) + 24\/(-32). What is the units digit of i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 5\/(-25)*0. List the prime factors of 92 - (u - (-1 - 0)).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2 - w - 1. Suppose -36*r - 25 = -11*r. Give p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -49, 50, 66, -3, -4, 4 in decreasing order.\nAnswer: 66, 50, 4, 3, -3, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 19*l**5\/10 + 84*l**4\/5 + 129*l**3\/5 + 44*l**2\/5 - 21*l\/10 = 0.\nAnswer: -7, -1, 0, 3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 = s + 15, 4*s = 5*r + 39. Let v = -583 - -607. What is the greatest common divisor of v and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 16*f**2 - 2*f + 23. Let w be s(16). Let d be 6*(-2)\/(-2)*(-24)\/w. Solve -p = 2*p, 4*y + d = 2*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.064 + -32.064. Let w = 35 + j. Let g = 28.5 + -29. Sort -2\/3, w, g.\nAnswer: -2\/3, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**8\/1680 + 4*c**7\/175 - 173*c**6\/600 + 251*c**5\/150 - 24*c**4\/5 + 112*c**3\/15 + 4918*c**2. Find y such that z(y) = 0.\nAnswer: 1, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527.443598 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -22. Let z = d - 13. Let i be 88\/20 + 4\/(-10). Solve -p = -z*p - i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fex when three letters picked without replacement from {a: 1, y: 5, x: 2, b: 3, f: 1, e: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111101010011 (base 2) in base 10?\nAnswer: -12115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + u + u + 1 - 1 - u + u + u + (0 + 0 - 2)*(2*u - 2*u + 2*u))*((-3*u - u**2 + 3*u)*(-u - 2*u + 2*u) + 3927*u**3 + 2352*u**3 + 1354*u**3).\nAnswer: -22902*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 22*y**2\/3 - 3904*y + 4256\/3 = 0.\nAnswer: 4\/11, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 117, -1, 0 in ascending order.\nAnswer: -1, 0, 1, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 73 = 67. Let i be (v\/(-28))\/(2\/(-8)). Let j(r) = -r**3 - 4*r**2 + 2*r - 1. What are the prime factors of j(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p - 491 = 124. What is the third derivative of -1944*b - p*b**2 + 148*b**3 + 1939*b - 8*b**3 wrt b?\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 43*q + 1268. Give w(-19).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 - 122.5. Sort -14, z, -0.02, -4.\nAnswer: -14, -4, z, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 880 and 104456?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 7 - 11 - -11*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.07 * -54914\nAnswer: -443155.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/922376 and 131\/1960.\nAnswer: 4611880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -78*y**6 + y**2\/2 - 160*y + 365. Find the second derivative of k(b) wrt b.\nAnswer: -9360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 13 = -5*m + 36, 5*m = 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 167\/80*r**5 - 81\/280*r**7 - 99\/80*r**6 + 0 + 20*r**2 + 3\/2*r**3 + 0*r + 25\/8*r**4. Solve x(v) = 0 for v.\nAnswer: -3, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s + 29*s = -135 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 11. Suppose 9 = 3*t + 3*p, 5*t + 4*p - 15 = -0*p. Suppose 0 = 4*c + 2*m - 26, c + 3*m = -t*c + 23. What are the prime factors of k(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 410 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363609 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*c = 580, -4*c + c = -9. Suppose 143 = 4*i - 150*q + 155*q, -4*q - 84 = -3*i. Calculate the remainder when d is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1049973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -64*n**2. Let o(l) = -l. Calculate y(o(g)).\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**3*d))**(-2\/43))**(-7\/2)\/((d**(-2\/7)\/d)**(5\/7))**6 assuming d is positive.\nAnswer: d**(10581\/2107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281 = -265*k + 83 - 332 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/3 and -4 + 2 + 12\/17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.40694 - -0.30694. What is the fourth smallest value in s, 5, 2, 5\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8034 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -22. Suppose 4*o + 1 = -11, -3*j - 3*o + g = 0. Suppose -j = 3*u, z + 74 = 6*z - 2*u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-2575)\/(-4326)*(-1)\/((-2)\/(162\/(-15)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 8, a: 1, x: 4, c: 1}. Give prob of picking 1 r, 1 a, and 1 z.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -11\/160156?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - -96. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73505077 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 + 4*d**2 - d**2)*(5 + d - 5 + (-5 - 1 + 5)*(-3*d + 3*d - d) + 710 + 31*d - 710) to the form l*d**3 + q*d + f*d**2 + u and give l.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1432708 is divided by 1432702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.06645l to millilitres.\nAnswer: 8066.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 53. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/24 + 35*u**3\/2 + 106*u**2 - 17*u + 3. Factor c(l).\nAnswer: -(l - 212)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 23*i - 27. Give v(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(245)*-5 + sqrt(245) - (sqrt(245) + 4 + 3*sqrt(245)))**2*4.\nAnswer: 4032*sqrt(5) + 317588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38127 (b) -1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**4\/4 + 6*q + 30. Let y(c) = -3*c**3 - 13. Give -13*n(m) - 6*y(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 355 (b) -108\/19 (c) -1\/8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18. Suppose 3*l + 44 - 134 = u. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1141414 (base 5) to base 3\nAnswer: -1002110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 31*p**2 + 296*p - 255. Let m(t) = -28*t**2 - 296*t + 260. Let o(u) = 8*b(u) + 9*m(u). Factor o(x).\nAnswer: -4*(x - 1)*(x + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 times -4?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 223.5, 4, 5, -4, 0.2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 427b + -2?\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*t**2 - 5*t + 377.\nAnswer: -72*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8904 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 1. Let o(u) = u**3 - 5*u**2 - 4. Let a be o(5). Let p be (a + -6)*d\/(-2). Solve 3*z = 2*z + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/67 (b) 313.1 (c) 1 (d) -1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20 + 140 = 0. Let q = 537 + -530. Suppose -108 - a = -q*u. What is the lowest common multiple of u and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*b**2 + 57*b**2 + 44*b**2 + 13*b**2.\nAnswer: 274*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.5 + 9.5. What is the second biggest value in -2\/5, l, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310036 at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 2*x + 1900. What are the prime factors of x?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 4) in base 2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-359*z**2 - 436*z**2 - 105*z**2)*(0 + 1 - 2).\nAnswer: 900*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 62 = -112. Suppose 0*v - 2*v - i = -3*s, 6 = -2*v + s. Let o be 45\/72 + ((-6)\/2 - v). Which is the smallest value? (a) o (b) 1.1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = -2*m + 289. Let a(y) = -y**2 + 4*y + 7. Calculate a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*v = 1, 3*g - 3*v = 2*v + 30. Let t be 1 + (0 - -3) + -4. Let d(j) = t*j + 3*j - 7 - j + 3. Calculate d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from ggaggaaaaagggtg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 + 380\/3. Let i = -4\/9 + u. Which is the closest to 29? (a) -2 (b) -1\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -3 + sqrt(80)*-2 + sqrt(80) + sqrt(80) + 0 + -2)**2*-5 + -3.\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 29 = 5*d. Let z be ((-2)\/(-2)*0)\/2. Suppose z = -k + d*k - 70. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 545781802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971658926.\nAnswer: 2, 7, 9914887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4126 + 3*t - 5*t + t**2 + 4107. List the prime factors of i(11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + sqrt(343) + (sqrt(343) + 3 + sqrt(343))**2 + -4 + sqrt(343) + sqrt(343) - (sqrt(343)*2 - sqrt(343))*-2.\nAnswer: 126*sqrt(7) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(114) - -5*sqrt(114))*-4)\/(-4*sqrt(12)\/(-2*sqrt(2))))**2.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/248923 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58642.\nAnswer: 2, 109, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2548)\/780 - 12 - (-30)\/2?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 55*n + 158. Determine x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 < 155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2934*k + 95*k**2 + 85*k**2 + 2941*k + 2934*k - 8809*k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -61, -93?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88051589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -382*c**2 + 7*c + 1. Calculate a(-1).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 5*g - 5*g. Let t(q) = -q**3 + 7*q**2 + 8*q + 4. Let i be t(8). Let a(x) = -5*x + 4*x + i*x. Calculate a(r(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 22513*j**2 + 28*j - 24. Let a(u) = -11258*u**2 - 13*u + 11. Calculate -13*a(h) - 6*d(h).\nAnswer: 11276*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Let c(u) = -u - 10. What is -c(o) - q(o)?\nAnswer: 2*o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13955 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 49\/(-7) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6*8\/48)\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3610 = -85*p + 4205 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + j - j)*(4 - 2*j - 4) + (46*j - 46*j - 17*j**2)*(1 + j - 1) to the form h + c*j**3 + a*j + r*j**2 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:34 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 5 - 55) + -7 + (3 - 0)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 99*p - 8. Let n be v(6). Suppose 5*y - n = 3*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1064.6.\nAnswer: -5323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550462 and 76373?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/330*11*6\/(-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f. Suppose -3*s + 4*s - 23 = f. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 3*i - 2. Let z be b(-3). Let f be ((-69)\/23)\/(1 - z\/(-8)). Let u be (-15)\/f + (-9)\/12. Solve u = l - 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3987 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q + 5*q. Let w be q\/((-1 - -5)\/20). Suppose -9*a = -5*a + p - 141, 3*a = -w*p + 93. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 2. Let j be b(3). Let h = 139 - 104. Suppose -5*a = -4*a - 5, 5*d - a - h = 0. Does j = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*-4*3\/(-12). Which is the smallest value? (a) -5 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 2929*b**2 + 117*b**2.\nAnswer: 3046*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 31*l = -2197. Let i = 848\/5 + l. Factor 0 - 12\/5*c**2 - 18\/5*c**3 - 12\/5*c**4 - 3\/5*c - i*c**5.\nAnswer: -3*c*(c + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(99) + sqrt(99) + 4*2*sqrt(99) + sqrt(99))\/(5*1*sqrt(9)*-6))**2 + -4.\nAnswer: -856\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cffcccccfc. Give prob of picking 4 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5481 + -3882. Let t = r - 1046. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 + 9156249*c**3 + 18312471*c**2 - 45781233*c - 54937458 = 0. What is c?\nAnswer: -3052081, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.02 - -1.0123. Round j to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -39. Suppose -c + q = -4*q - 29, 0 = -c - u*q - 7. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2\/3)*z*z)**4)**(-29\/4))**(2\/29) assuming z is positive.\nAnswer: z**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83539 and 1202.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 - 2*x**2 - 6*x + 5. Let l(v) = 5*v**3 - 3*v**2 - 5*v + 6. Let u(h) = -3*l(h) + 4*y(h). Does 9 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 1736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -4*a. Let t be (-27 + a\/1)\/(-2). Suppose t = 4*p - 3. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0*f**3 + 0*f - 5*f**2 + 0 + 600001\/60*f**5 + 1\/24*f**4. Let o be d(-1). Round o to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-18) + (-123)\/(-18). Let n(m) = -368*m + f - 3 - 9. Is n(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 15*k = -112. Suppose -6*q - k = -20. Is (-7 - q)*119\/(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*s + 49, -23 = 5*s + 3*f + 36. Find the common denominator of 18*2\/s*(-45)\/4 and (678\/168)\/(1\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/177 and -25\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + n - 106 - 62 + 329.\nAnswer: n + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -0.135?\nAnswer: -0.1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 60. What is the second biggest value in s, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-101)\/11 - 4\/(-22). Let m(v) = -v - 15. Let a be m(j). Let f(n) = -n**2 - 6*n - 7. What is f(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -210597, -210594, -210591, -210588, -210585, -210582?\n\"Answer: 3*r - 210600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 2, v: 8, b: 2, h: 3}. What is prob of picking 1 b and 2 v?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 8 (c) -24907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 382582.\nAnswer: 4\/191291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 4. Let m = d - -55. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027557?\nAnswer: 7, 163, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {x: 1, b: 1, o: 2, h: 1, m: 1, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.5 * 1.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/18, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 12:48 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15143919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = 5*h, 2*q - 6*q + 5*h + 10 = 0. Let a be q\/(-2) - (0 - 1). Let y(i) = 629*i + 1. Let w be y(a). Round w to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 321*v + 961. Calculate p(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 + 168*b**3 - 2136*b**2 - 10464*b - 11088.\nAnswer: 3*(b - 14)*(b + 2)**2*(b + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.056737 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 2. Let r(k) = -k**3 + 6*k - 3. Suppose -w = 4*z + 15, 3*z + 24*w + 15 = 22*w. Let c be r(z). Let x(h) = -6*h - 2. Calculate c*x(y) - 7*s(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000666745 rounded to 5 decimal places?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -10*f - 58 - 159 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7320 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o. Let y(i) = 5*i**2 + 2*i. Give l(y(g)).\nAnswer: 30*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 18 - 3. What is the highest common factor of 25 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269819880 a multiple of 1562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 0*u**3 + 1\/2*u**2 + 0 + 7\/20*u**5 - 10*u + 0*u**4. What is the derivative of q(n) wrt n?\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3963739 - 0.017.\nAnswer: -3963739.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -6, -3*j - 3*l = -4*j + 147. List the prime factors of j.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 6*u**2 + 7*u - 5. What is m(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**6*i**2 - 1460*c**6*i + 2*c**2*i**2 + c**2*i - 2*c*i - 215 wrt c.\nAnswer: -360*c**3*i**2 - 175200*c**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11 + 2*b - 2*b - 4*b. What is the tens digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 25*i + 1477. What are the prime factors of v(46)?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04853 minus 12?\nAnswer: -11.95147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -272 (base 14) to base 8.\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by 504.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 274494.9615 + -274312. Let r = 183 - x. What is r rounded to 3 dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357530577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-28)\/140*-330)\/(1 - 1\/2) and 10?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0262 - 0.0438. What is the third smallest value in 0.6, 0.07, k?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/10)\/(4\/(-4)). Factor h + 1\/5*g**2 + 2\/5*g.\nAnswer: (g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212112122 - 11001?\nAnswer: 1212101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 27*k**2 + k. Let r be o(-1). Suppose 19 = 2*n - x, r = 3*n + 2*x - x. Solve -2*w + n = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaxi when four letters picked without replacement from {x: 7, y: 1, t: 1, i: 1, a: 7}?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 + 70. Suppose 2*c - 1309 = b*c. Let h = 271 + c. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i - 55. Let r be z(-4). Calculate the highest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, -3, 0.42, 2\/7, -113\/4?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-342)\/2907)\/(2\/(-136)). Put -5, y, 3, 191, 0 in ascending order.\nAnswer: -5, 0, 3, y, 191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of (-33 - -19) + 32 - -94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9376269*q - 171 + 347 - 176 - 9376268*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 40448.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249\/704 or 1?\nAnswer: 249\/704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9*h - 32 = 246, -865 = 3*x + 4*h. Which is smaller: x or -288?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1605804203 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*w**3 + 55*w**3 + 28*w**3 + 53*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/11 and (2\/(-21))\/((-19)\/(-342)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 114 = 3*i + 5654, -j - 2883 = 2*i. Let k = -1540 - j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from vhjvduthj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6)*3\/2. Let u = 2 - -13. Let t = 6 - u. Which is the biggest value? (a) -2\/15 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.93 - 0.07. Suppose -2*t - 8 = 5*h - 40, 2*t - 2*h - 46 = 0. Suppose -t = 4*j - 5. Which is the closest to -0.1? (a) x (b) j (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-8)\/6))\/(3*-1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i. Let p = -36 - -38. Let h(c) = -c**p - 1500*c + 1500*c. Determine h(j(r)).\nAnswer: -169*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 38 - 115518*a - 11 + 115522*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/60 + s**4\/3 - 4*s**3\/3 - 3*s**2. Let q be w(6). Suppose q*y = -5 + 37. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, i: 2, f: 2, p: 8}. What is prob of picking 2 p?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 136\/32 + (-2)\/8. Suppose -x + m = -219, 271 + 157 = 2*x - h*m. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 666*c**3*h*w + 3*c**3*q*w + 44955*c**3*q - 5*c*q**2*w + 7*h*q**2*w + 3*h*w wrt h?\nAnswer: 666*c**3*w + 7*q**2*w + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 925, 9, -4, 1, -2, -6 in descending order.\nAnswer: 925, 9, 1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -1\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -203, -199, -197, -197, -199, -203, -209?\n\"Answer: -x**2 + 7*x - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2417.836 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 398 + -354. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495424681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-2*-4)**2*-1 + (sqrt(324) + 6*-2*sqrt(324))\/(sqrt(1200)*2).\nAnswer: -6912 - 33*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1116 and 48?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((20\/(-2))\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1098895080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h - 40*h**2 + 0 - 1\/6*h**3. Let l(v) = -2*v + 1. What is -2*l(b) - 2*p(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 51190847.4 to the nearest ten thousand.\nAnswer: 51190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 8. Let f = m - -7.7. Let i be (-12)\/12 - (-1 + 12\/(-28)). Which is the smallest value? (a) f (b) i (c) -1\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 2. Let j(h) = -18*h - 77. Calculate -4*i(r) + j(r).\nAnswer: -10*r - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44650 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63183 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**6\/10 - 3*f**5\/5 - 5*f**4\/4 - f**3 + 12*f. Factor s(h).\nAnswer: -3*h*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -504?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.063706 + -616.783294. Let i = f - -1105.644. Let x = 488 - i. Round x to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17140 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4932455 divided by 986491\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/(-147) + 12\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176.02 or -8\/9?\nAnswer: -176.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304)*1)\/sqrt(3))\/(sqrt(28)\/(sqrt(77)\/sqrt(539))).\nAnswer: 8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*-4 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 92*o - 312.\nAnswer: 4*(o - 3)*(o + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.77886m in millimeters?\nAnswer: 25778.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2813, -2991, -3173, -3359, -3549, -3743, -3941?\n\"Answer: -2*a**2 - 172*a - 2639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1017, 0.01, -0.13, -2 in ascending order.\nAnswer: -2, -0.13, 0.01, 0.3, 1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 + (-728)\/(-70))*81820.\nAnswer: 2, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 22*k**2 - 27*k + 12. Give u(-21).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2279 is divided by 191?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = 160. Let s = d - -56. Let h(n) = -n**2 + 19*n - 24. Let y be h(16). Calculate the greatest common factor of y and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-3))\/((-3)\/14). Let j be 544994 + ((-3)\/21 + 1)*7. Suppose 9*n = b*n + j. Round n to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1026\nAnswer: -5130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6383, -6361, -6261, -6041, -5659?\nAnswer: -5073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 41*p**2 - 8*p + 3. Let l = 3 - 1. What are the prime factors of g(l)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-14) - 1593111\/910. Let n = -1753 - d. Calculate the common denominator of 8\/49 and n.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7719 = 144*a + 1095 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/3 + 578744*b\/3 - 1157504\/3.\nAnswer: 4*(b - 2)*(b + 144688)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -7\/2*o**2 + 3*o + 0 - 1\/10*o**5 + 0*o**3 - 1\/4*o**4. Let p be d(-3). What is the highest common factor of p and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-185))\/((-4185)\/(-20925))\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*a**2 + 118*a - 2544.\nAnswer: (a - 8)*(25*a + 318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53, 54, 55, 56, 57?\n\"Answer: j + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) + 164\/9. Let z = 25 - u. Solve 2*c = -3 + z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/10)\/((-150)\/250)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x**2 + x. Suppose -5*y + 1 = -4*y. Let n be o(y). Let t = n - 12. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x**2 - 10*x**2 + 306*x + 92*x - 8*x**2 to w*x + j + t*x**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8355467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/21 + 14*x**4\/3 + 1150*x**3\/21 - 1250*x**2\/21.\nAnswer: 2*x**2*(x - 1)*(x + 25)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 28 + 69*y + 40*y.\nAnswer: 109*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 102, 94, 86, 78?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5 = -3*s + 7, 5*s = 5*g + 30. Let i be 20\/6*1\/(g\/(-9)). Solve -3*z = r + 13, 0*r - 2*z + 14 = -i*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 16, k: 4}. Give prob of sequence lk.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 148556 divided by 3?\nAnswer: 148556\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 5*o - 12. Let z be (24\/20)\/(o\/(-105)). Suppose w - z = -8. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6 - 3 - 5 + 7 + 4 - 3*t. Suppose -4 = 4*l + 4. Let j(i) = 6*i + 7. Give l*j(p) - 5*o(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-3 - -4) + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00822498 rounded to 5 dps?\nAnswer: -0.00822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = 794*a - 805*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 - 195\/20. Let g = a + 22. What is the units digit of (-1)\/((-3)\/g*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 917161 to the power of 1\/2, to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -246, -1209, -2810, -5049?\n\"Answer: -319*r**2 - 6*r + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-2 - 63\/(-30))*-2. Let z = 1.2 - 0.7. What is the closest to -0.2 in c, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 33 - 6) + -9 + (0 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u - 1. Let w be f(-1). Suppose -5*t - 20 = 0, -2*p - 10 = -3*p + t. Solve -w*l = -p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27888, 28081, 28252, 28389, 28480, 28513?\nAnswer: 28476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - -6 - (10 + -2). Let i(w) be the third derivative of 0*w - 1\/36*w**4 + 13*w**2 + 0 + 1\/12*w**h + 1\/360*w**5. Factor i(p).\nAnswer: (p - 3)*(p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4485067, -4485099, -4485153, -4485229, -4485327, -4485447?\nAnswer: -4485589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -301, -893, -2079, -4057, -7025, -11181?\nAnswer: -16723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) - -2*43\/18. What is the second derivative of 17*h**5 - 2*h**v - 10*h + 28*h wrt h?\nAnswer: 300*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -256*r + 531*r - 236*r - 2 as k + p*r and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 3:19 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 46. Let g(q) = 43. Let k(v) = 7*g(v) - 6*n(v). Determine k(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1220313310 - 31011?\nAnswer: 1220222233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 136*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 2741, 1\/3, -15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 6 = 3. Let t(c) = 95*c**3 - 3*c + 2. Is 6 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 9 = 3*c, -5*c + 3*j + 180 = 151 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2 + 20*a + 10. Let k be q(4). Put 4, 28, 3, -4, k in descending order.\nAnswer: 28, 4, 3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975004 to the power of 1\/2, to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -884, -1365, -1858, -2369, -2904?\n\"Answer: -c**3 - 474*c - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -882189 and -9427251.\nAnswer: -10309440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302099 is divided by 9742?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 4*l + 24, l + 2*l = j - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/173 and 101\/2?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1 = -13. Suppose 8 = 3*s - 0*v - 4*v, 2*s + 3*v = 28. Suppose -30 = s*n - 70. Solve -4*l = -n*a + l, 6 = -5*a + u*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*l**6 - 48*l**6 + 0*l**2 - 4*l**2 wrt l?\nAnswer: 1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*t**2 - 1\/3*t**3 + 8\/3*t + 0.\nAnswer: -t*(t - 8)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3036*b**3 + 48089*b**2 - 48089*b**2.\nAnswer: -3036*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13188 = -3*t - 9*t. Calculate the remainder when t is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 1007*y**3\/2 + 289*y**2\/2 + y + 526. What is the derivative of t(i) wrt i?\nAnswer: 3021","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**7\/7560 + c**6\/720 - c**5\/180 - c**4\/4 - c**2. Let z(y) be the second derivative of r(y). Solve z(w) = 0 for w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1199676619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/33))\/g**(-1\/16))\/(g*g\/(g\/((g\/(g**(18\/5)*g)*g)\/g*g*g*g)))**(-35) assuming g is positive.\nAnswer: g**(7985\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 6:53 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + r - 13. Let n(x) = -11*x**2 + 2*x - 27. Let f(c) = 4*n(c) - 9*t(c). What is the tens digit of f(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u + u - 5*u + 6 - 2*u. Let g be d(4). Solve i - s = 3, -g*i + s + 3 = -0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, -4, 3, 19, -7 in descending order.\nAnswer: 19, 3, 1, -4, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5038 is divided by 2514.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*c = -60*c + 64*c. Let v(b) be the second derivative of 0*b**4 + c + 0*b**3 + 2\/5*b**5 - 3*b**2 + 10*b. What is the first derivative of v(d) wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and (9 - (-19942)\/(-78))*(-12 + 0)?\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2680 and 33165?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**9)\/h**(-9)*(h*h**15\/h)**(-4\/17) assuming h is positive.\nAnswer: h**(263\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 2791?\nAnswer: -2786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - 40) + -20 + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1 + 0) + 3. Solve -b + 5 = -0*c - c, -25 = w*c + 5*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 2*k**2 + 2*k - 49. Determine l(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1863?\nAnswer: -2\/1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqmsdsssm. What is prob of sequence mwmd?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5656*c + 301. What are the prime factors of b(8)?\nAnswer: 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6099 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18.4703976ns?\nAnswer: 0.00000000000021377775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563218332?\nAnswer: 2, 3, 46934861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuf when three letters picked without replacement from {u: 5, f: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-3)\/3)*-3. Suppose -2*y = y + u*n - 471, -y - 2*n = -153. What is the greatest common divisor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2123583 - 102177.\nAnswer: -2225760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.72, 1\/6, 2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -43, -36?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -5*l + 5*m, 2*l + 26 = -m + 98. Calculate the remainder when l is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28710 and 200535?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1556 + 1862. Calculate the highest common factor of n and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*o = -4, -5*o = -4*r + 4 - 12. Let s = -1.03 + 0.93. What is the nearest to -0.1 in r, s, -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -p - 45, -2*a - 9 - 1 = p. Let d = 42 + p. Solve 7*h - 4*h = -4*r - d, -2*h - 20 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521.6 minus 0.043582414434?\nAnswer: 1521.556417585566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -43 in descending order.\nAnswer: 0, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4*s - 6*s)*(12*s**2 + 7*s**2 - 8*s**2)*(-83*s**2 - 21*s**2 + 6*s**2).\nAnswer: 1078*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6563049.\nAnswer: 3, 2187683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302, 524, 736, 932, 1106?\nAnswer: 1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -983\/4 + 247. Let h(u) = 0 - 15*u**2 - 15*u - 13 - 3*u**3 + 4*u**3. Let q be h(16). Which is the nearest to -0.3? (a) l (b) 1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**5 - 8*a**5 + 0*a**3 + 0*a**3 + 3*a**2 wrt a.\nAnswer: -660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/4 - 71\/(-6) and (-1030)\/180 - (-2)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 0, 4 in descending order.\nAnswer: 4, 0, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 - 46. Suppose 0*k = 4*k - a. Calculate the remainder when 24 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*u = -256, x + 0*u + 2*u = 59. Calculate the remainder when x is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 2 h when four letters picked without replacement from juhahhnjuhjjhuuabh?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -19) + -1 + -11 - -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-98) - 0\/(-4). Let l be 6\/22 + 713\/2387. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 42741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 78, 87, 94, 99?\n\"Answer: -r**2 + 14*r + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/32)*a**(8\/7))**(-1\/8) assuming a is positive.\nAnswer: a**(-249\/1792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 4*m = 1304772. Let i(k) = 108731 - m - k**2. Let s(z) = 114*z. What is i(s(n))?\nAnswer: -12996*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q + 0*q**4 + 6*q**2 + 0 - 2\/3*q**3 + 2\/105*q**7 + 0*q**6 + 0*q**5. Differentiate k(o) wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32815?\nAnswer: 5, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -1\/2*g**2 + 7\/6*g**3 + g + 0. Calculate y(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28351369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 times -28575?\nAnswer: 2286000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210*(-115)\/10350*72\/(-49)*7\/10.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1728)*-4)\/(sqrt(726) + (sqrt(726) - (sqrt(726)*-2*6 + sqrt(726)))).\nAnswer: -96*sqrt(2)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116016*h**2 - 1138 - 183226*h**2 + 1138.\nAnswer: -299242*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010101 (base 2) to base 5.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-9))\/((44\/(-99))\/(28\/147)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10603823?\nAnswer: 10603823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 519 = -507 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2 - -5 - -2. Solve r*b + 20 = -2*p + 2*b, 3*b = -p - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 9\/(-2))\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16751985.\nAnswer: 3, 5, 41, 27239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + n = 2, -4*u + 5 - 1 = 2*n. Suppose -f + 55 = -2*v - u, 4*f = -v - 14. Which is greater: v or -27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 25. Suppose 2*l = -2*l + 40. What is the remainder when y - (-1)\/((-1)\/(-36)) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34361383 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 104 + 127 = 0. What is the common denominator of ((-1111)\/x)\/(90\/21) and 41\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*r = 117*r - 156. Put r, 1, -1, 2 in increasing order.\nAnswer: r, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 7*f**2 + 9. Give t(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*r**2 + 0 - 16*r**2.\nAnswer: -10*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-1)\/3*-6). Which is greater: 2\/81 or d?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -3*f**6\/40 - f**3\/3 - 5*f**2\/2 - 8. Let d(h) be the second derivative of c(h). What is the derivative of d(a) wrt a?\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2. Suppose -3*q = 7 - 19. Suppose -q*b + 10 + 2 = 0. Let t(d) = d + 4*d - b*d. Determine t(g(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5138 is divided by 2364?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27041 rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29790795283\/672 + 44331504. Let c = p + 999\/32. Let g = 129\/14 + c. What is the common denominator of -65\/9 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2751*g**2 - 11012*g. Give z(4).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 5:05 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, w: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -6*q - 3*p, 98*q - 61 = 101*q + 5*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/516 and 49\/129.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -5\/4 (c) -0.8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**4\/4 - 23*j**3\/3 + 12*j**2 + 9*j + 2. Is b(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5013 + -5005. Let w = -13 + 21. Calculate the greatest common divisor of w and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*h - 8*h + 2*h)*(3*h**2 + 3*h**2 - 5*h**2 + (995 - 437 - 452)*(2 - 2 + 2*h**2)) in the form j*h**2 + v*h + f*h**3 + a and give f.\nAnswer: -2982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 8*k - 1. Let h be v(6). Let d be (-1*h - 2)*1. Let o = d - -42. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/10*10\/(-4). Let q = h - 1. Let m be (q\/3)\/((-4)\/(-168)). Solve 4*x = m + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13768 is divided by 59?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*s - 13*o + 123 = 479*s, -5*s + 171 = -o for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359176 a multiple of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 4*m. Let d be t(2). Let r = -4\/173 + 704\/519. Suppose 0 + 4\/3*u**d - r*u**2 + 4\/3*u - u**3 - 1\/3*u**5 = 0. What is u?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/5)\/(-1 - 1). Suppose 61*r + 47 - 155 + 47 = 0. What is the nearest to 6 in 2\/15, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5745*c**3 + 1180.\nAnswer: -17235*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -5*b**8\/336 - 2*b**7\/21 - b**6\/6 + b**5\/6 + 25*b**4\/24 + 5*b**3\/3 + 598*b**2. Determine s, given that j(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3661 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q**2 + 14*q - 12. Let t(u) = u**2 - u + 1. Let h(m) = -2*a(m) - 18*t(m). What is the lowest common multiple of (5\/(-1))\/((-160)\/256) and h(6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 21*u**2 - 4 - 9 - u + 0*u. Let o be 7 - (3 + 1 - 3)\/1. Is t(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 - 4*w - 55 + 213 - 6*w. What is the hundreds digit of s(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d = -36*d - 36. Solve -20 = 5*t + d*a - 7*a, a = -2*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 109 = -23. Let i = -4 - -7. Suppose 0 = 2*d - i*d + 4. What is the greatest common divisor of r and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 909, 1924, 2949, 3990, 5053, 6144?\nAnswer: 7269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/4)\/((-2)\/16). Let c(g) = g**3 - g**2 - g. Let k(h) = 7*h**3 - 6*h**2 - 8*h. Give d*c(p) + k(p).\nAnswer: p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -9. Let h = -3 - m. Suppose 2*v = -4*s + 18, h = -3*s + 5*v - 0*v + 7. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-2 - sqrt(187) - sqrt(187))*-2 - (sqrt(187) - 3*sqrt(187)*1))\/((sqrt(11) + 3*sqrt(11)*2 - (sqrt(275)*1 + sqrt(275)))*-3).\nAnswer: 10*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1220)\/200)\/(-15 + -2 + 2). Let t = 6\/25 - l. Let v be ((-8)\/30)\/((-4)\/6). Which is the biggest value? (a) 4 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35323, -0.58, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3113, 3121, 3115, 3095, 3061?\n\"Answer: -7*v**2 + 29*v + 3091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*b + 50 = 0, -89*w = -88*w + 3*b + 37 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -10*u + 34 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 0*f - 3*f - 62 = 35*m - 118*m, 3*f + 18 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497406887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.32 or -24?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3185 + 3705. What is the least common multiple of 1144 and z?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.78, -0.006, 0.5, -1\/5, 3\/4 in decreasing order.\nAnswer: 0.78, 3\/4, 0.5, -0.006, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 733 - 662. What is the greatest common factor of 1633 and a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317 by 270027.\nAnswer: -317\/270027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36783900 a multiple of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3531 - 2344?\nAnswer: -10315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-4)\/x)\/x)**43)**(3\/29)*(x*x**13*x**(-3\/4))**30 assuming x is positive.\nAnswer: x**(21765\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c4 - -c07e?\nAnswer: bfba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 6*p + 1. Let b be n(6). Let w be 2\/14*2 + 206\/14. Let d be 2*24\/w + 6\/(-3). Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-30)*-2)\/((-2)\/(-3)). What is the second biggest value in a, -4, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247 times 365\nAnswer: 90155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 3:55 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 14 - 7*u**2 + (-2*u + 0*u + 3*u)*(-3*u - 4*u + 2*u) to the form r*u**2 + p*u + h and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -144 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 117*p**2 + 112*p**2 - 232*p**2. Let c(m) = 3*m + 0*m - 4*m. Give v(c(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g - 3*p, 4 = 4*g - 2*p. Suppose 5*z - 3*z - 8 = 0, -k - g*z = -11. Suppose 4*a = k*a + 3. Solve 1 = j - a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5717693 nanometers?\nAnswer: 0.0000000005717693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 4 (c) -4 (d) -92\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 12113*m + 7065*m.\nAnswer: 19178*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 14*v + 86*v + 25*v.\nAnswer: 133*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -0.207177889?\nAnswer: 0.792822111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.233993 to 3 dps.\nAnswer: -0.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1733452 and 2632?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*i + 5*q, -5*i + 3*q + 2 = -17. Suppose 0*l + l - 5 = 0. Suppose 4*s - 1 = -y + i, 0 = l*s. Solve 0 = y*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 9*a**2 + 4*a - 10. Let r be b(9). Suppose 4*n + 6 = r. Solve n*p = 3*p + 4*i + 22, -2*p = -5*i - 27 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780857037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j = 261202500. Suppose -j = -d - 4*d. Suppose -2*r + 3651896 + d = 3*q, -2*q + r = -9400002. What is q rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21649 + 31013. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001058 rounded to 7 dps?\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1 + 3*sqrt(833))**2 - sqrt(833)).\nAnswer: -49*sqrt(17) + 7494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 222, 232, 240?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 8*a**2 + 6*a + 10. Let x be c(7). Let r(j) = j**2 - 10*j + 8. Let w be r(9). Put 5, w, x in ascending order.\nAnswer: w, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7928 is divided by 3962.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 19*i**4\/12 - 9*i**2\/2 - 2580*i. Let r(s) = 12*s**2. Give a(r(z)).\nAnswer: 2736*z**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 6:28 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1617 - 1141 = -68*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 129*k + 6. Let o(l) = 517*l + 22. Determine 11*d(h) - 3*o(h).\nAnswer: -132*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -102?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2565*v**3 - v**2 - 50.\nAnswer: 15390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 25057*w\/2 + 627853249\/4.\nAnswer: (w - 25057)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 8496?\nAnswer: 37\/8496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2621 take away 0.4648?\nAnswer: -0.7269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 1d?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Suppose 0 = 8*w + 77 - 61. What is t(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 0 - 2072*k**2 - 91.\nAnswer: -2072*k**2 - 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10 = 6*o. Let f(l) = l - 2 + l**3 + l + l**3 - 1. Does 17 divide f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 5*o - 222. Suppose w - 140 = -4*k, -w + o + 74 = -5*k. Does 8 divide (w\/56)\/(4\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2300 is divided by 94?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 + 26*r**2 + 3853*r - 7706. Calculate g(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/91 - (-116)\/14 - 6. Let y be 863\/42 + (28\/49)\/r. Which is the second biggest value? (a) -3 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/120 - a**5\/15 - a**4\/24 - 2*a**3\/3 + a**2. Suppose -161*i + 159*i - 5*t + 45 = 0, -5*i - 8*t + 63 = 0. Calculate d(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -428*-28\nAnswer: 11984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13223.8 times 7\nAnswer: 92566.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 125 + 0.14\nAnswer: 125.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 1565?\nAnswer: 17215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0369 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/(272\/(-238))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96970943.\nAnswer: 757, 128099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2 - ((-5876)\/(-104) - 53).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38064 + 38064.0000046918. Round w to 7 dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3*w - 4. What is q(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 14*n**2 - 14*n - 10. Suppose -1089 = -30*a + 21*a. Calculate the lowest common multiple of b(12) and a.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4*n - 262*l**3*n + 2*l**2 - 2*l + 184*n wrt l?\nAnswer: -12*l**2*n - 1572*l*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172744682 or 172744683?\nAnswer: 172744682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/88 and 17\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 46. Suppose 0 = -4*y + f*y - 4. Let r(c) = 543*c - 2. Is r(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10538)\/(-820) + (-180)\/(-3690) + (-10 - 24\/8)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/4)\/g)\/g**(2\/3))\/((g**3\/g)\/(g\/g**(-1\/4)))*((g\/g**0)\/g)**(-2\/9)*(g**0)**(-1\/41) assuming g is positive.\nAnswer: g**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - v - 5 = -0*j, j - 5*v - 25 = 0. Suppose 3*h + 3*a - 1146 = j, -a = -2*h - h + 1138. What is h rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -2e?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*k = -6*k + 742 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*s - 74668, -s + 5993 = 4*r - 8982. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27636 and 3384?\nAnswer: 165816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/((-6)\/(-20)). Suppose x*s = 810 - 120. What is the remainder when s is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 3*h**3 + 7 + 4*h**3 - 31218*h.\nAnswer: h**3 - 31218*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-55)*(-600)\/(-2592)*3*(-6)\/(-160)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/34 + -4\/17. Let v = -14732.3 - -14732. Let t be -1*1 - (-9)\/7. What is the nearest to i in t, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2698.\nAnswer: 2\/1349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g - 6. Let q(n) = 3*n - 3. Give -4*p(c) + 7*q(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o + 100. Let x = o - -26. Suppose -i + x = 4*u - 3, 3*u - 16 = -4*i. Solve 4 = 2*q - u*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 5. Let a(b) = 11*b**2 - 1. Let s be a(-1). Suppose -15*c + s*c = 20. Let x be m(c). Which is smaller: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2594, 3168, 3742?\n\"Answer: 574*m + 2020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - ((sqrt(78) - (2*sqrt(78) + sqrt(78))*5) + sqrt(78)) - 1*sqrt(78)*2)*-1)\/((sqrt(432)*-2 - sqrt(48))\/(sqrt(32)\/sqrt(4)*-2))*-2)**2.\nAnswer: 29952\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 2)*(0 - 15089*n - 22239*n + 2) in the form v + k*n and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + -6 - 0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. What is the second smallest value in k, -0.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*2\/1. Let z = -4 - -4. Which is the smallest value? (a) t (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 + 149 = 23*r - 64 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26769.\nAnswer: 3, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.94 - -0.06. Let u = 11 - b. Let m = u - 4.00016. What is m rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244 - 242. What is the hundreds digit of (x - 11374\/(-7)) + 44\/308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8994139849 to the nearest one million.\nAnswer: 8994000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 173667 and 21827.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 31285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743138557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -57*y - 2243. Calculate m(-39).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 178763.\nAnswer: 357526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*u + 121*u = -2*s + 12, -2*s + 12 = 3*u. Factor 3\/7*j**4 - 3\/7 - 6\/7*j**3 + u*j**2 + 6\/7*j.\nAnswer: 3*(j - 1)**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 + 18*n**2 - 2*n. Let q be o(-6). Put q, -4, 5 in descending order.\nAnswer: q, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218 + 247. What is the remainder when 259 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766664 (base 8) in base 12?\nAnswer: 210844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 4. Let a(z) = 1. Let v(p) = -4*a(p) + l(p). Let y(w) = -w - 4. Let d be y(-4). Let k(i) = 2*i**2 + 0*i**2 + d*i**2. Determine v(k(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*x = -5, -y - 36*x = -40*x - 25. Suppose 2*b - 33 = -25. Solve -r = w - b, -11 - y = -5*w - r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 3527 = 3*h, 0 = h + 3*z - 1174. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 4*q + 20. Let o be y(-14). Let v = o - 87. Suppose 2*m - 3*z = v, -5*m - z + 23 = -134. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 91\/14)*(-5)\/(-3). Which is the nearest to -1\/3? (a) 5 (b) d (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285805 minus -0.06?\nAnswer: -285804.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1638\/30)\/(-7))\/(684\/(-855)).\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**5\/20 - a**3\/6 - 193*a. Let c(g) = g**3 + 6*g - 3. Give c(h) + 4*d(h).\nAnswer: -3*h**3 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3475 = 334*r + 867 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56, -82, 12, 316, 920, 1914, 3388, 5432?\n\"Answer: 15*q**3 - 30*q**2 - 41*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1337693*f**5 + 2*f**2 - 5*f - 14570 wrt f.\nAnswer: -80261580*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 612482 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**2 - 388*h - 4. Let s(b) = -b**2 - 78*b - 1. Calculate -3*a(j) + 16*s(j).\nAnswer: 2*j**2 - 84*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + j - 25997, 0 = 2*j - 2 + 8. Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l**(-3\/10)\/l)\/l)\/l)*l*l**(-11))\/(l\/l**(2\/35)*(l*l**(4\/7))\/l))**38 assuming l is positive.\nAnswer: l**(-1919\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 + (104 - ((2 - 2) + (-67 - -80)))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 16*m**2 - 26*m + 26. Let t(b) = -b**3 + 17*b**2 - 49*b - 146. Let p be t(12). Calculate z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -452*436\nAnswer: -197072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*t + 233*w - 228*w + 54, 0 = t - 4*w - 11 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4595*y + 18350. What is v(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gijj when four letters picked without replacement from gijgiigj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -346.\nAnswer: -346, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2791, -3, 174, -33.\nAnswer: -2791, -33, -3, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -420 at least as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -289544800 divided by 26144?\nAnswer: -11075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((5\/2)\/5). Let d = 2 + 0. Let z = -12 + 17. Sort d, z, a in ascending order.\nAnswer: d, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*o**3 - 3547*b*o + 58106*o**3 + 14 wrt o?\nAnswer: 6*b*o + 348636*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*1*sqrt(96))\/(sqrt(16)*3))\/((-1*sqrt(108)*3 + sqrt(108) - sqrt(108))\/(-2*sqrt(1089)))*-6)**2.\nAnswer: 3872\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 171, 1\/2, -0.1.\nAnswer: -4, -0.1, 1\/2, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5\/4 + 1563*w**4\/2 + 144933*w**3\/4 - 5780754*w**2 - 128377872*w + 11795103360 = 0 for w.\nAnswer: -72, 53, 1080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4 (c) 25 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1062)\/(-15) + ((-68)\/10 - -6). Calculate the highest common divisor of h and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (729\/(-108))\/(((-4374)\/(-144))\/(-27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38, 64, 90, 116, 142, 168?\n\"Answer: 26*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k\/k**(-6\/7)*k*k)\/k*k)**(1\/11)\/((k\/((k**3*k)\/k))\/k)**(-6) assuming k is positive.\nAnswer: k**(-1345\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 15. Solve -25 = 4*b - c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1075 divide 19114575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564\/7 + (-21)\/(-49).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -1)\/(-2 + 1). Suppose 4*k = 7 + l. Let i be 7\/(-56)*12*(-4)\/3. Solve -3*g = -k*g - i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/38*(2\/5)\/(1244\/(-4665)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1840)\/138)\/((-132)\/(-297))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 150713266 to the nearest 100000.\nAnswer: 150700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114 in -0.5, -31, -10, -2.9?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -13, 852\/5, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 509 - 508. Let j be (-2)\/10*(-5)\/(-4). Which is the second biggest value? (a) j (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*q**2 + 13*q**3 + 1144*q**2 - 606*q**2.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 5*f - 24. Is 65416\/32 + f\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2332\/3 + -776. What is the nearest to -0.1 in -0.02, b, 0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 266.066554728 - 0.065344728. Let a = c - 266. Round a to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2033\/3 - -1363\/2. Let p = 403\/102 - f. Which is the nearest to -0.1? (a) 3 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 - 3*s - 9. Calculate j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7535 - 5704. What is the remainder when d is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39 + (6291\/(-243) - 12). Suppose z*h**4 - 34\/9*h**2 - 44\/9*h**3 + 20\/9*h + 0 = 0. Calculate h.\nAnswer: -1, 0, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g - 8*g - 9*g**2 - 8*g wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2310228?\nAnswer: 2, 3, 21391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {q: 6, s: 2, z: 1, c: 2, v: 1, j: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 67. Suppose 3 = 5*k + 2*n, 8 + x = k + 3*n. Which is the second smallest value? (a) k (b) -5 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from zfizfiyffyi.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 989882385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c3 - 6b?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41995, -84078, -126127, -168142, -210123, -252070?\n\"Answer: 17*y**2 - 42134*y + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 0, -31, -82, -159, -268, -415, -606?\n\"Answer: -z**3 - z**2 - 7*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 2 = 142 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = 0, 28*k - 27*k + 14 = 4*u. Solve k*r = -0*r - v - 2, 8 = -2*r - 4*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 29*n - 657*n**3 - 2*n**2 - 45*n + 10*n**4 + 650*n**3 + 18*n in the form t*n**2 + p*n**4 + j*n**3 + w + b*n and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/576 and -83\/32.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 3)\/((-4)\/(-8)). Calculate the common denominator of -47\/14 and (-381)\/(-270) + b\/(-20).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 188, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-6)\/(-2) + 1. Let z(r) = -r**2 - 2*r**2 + 2*r + 2*r**2 + 1. Determine z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/192*-4)\/(1\/(-2)). Let o = 1 - 1. Is s greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (247\/(-76))\/(2\/(-8)). Calculate the highest common divisor of 143 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9.2. Let h = -0.7 + g. Sort -2\/13, -2, h in descending order.\nAnswer: -2\/13, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -8\/13 (b) 2 (c) 0.007 (d) -5 (e) -2.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/76985)\/((-2124)\/(-94518))\nAnswer: 1\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -441.857 - -0.857. Let y = 441.3 + q. Let w = -7.94 - -8. Which is the third biggest value? (a) 4 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -277, 5.\nAnswer: -277, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*n + 0 + 14*n**2 + 3 - 12*n**2 + 35*n.\nAnswer: 2*n**2 - 696*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67460, -134922, -202384, -269846?\nAnswer: -337308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126631*w**2*x**3 - 170*w**2*x**2 + 22*w*x**2 + 7*w*x wrt x.\nAnswer: -759786*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/(-95) - (-383156076)\/(-10). Let s = u - -71915608. Round s to the nearest one million.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 105*b - 14*b**2 + 6 - 101*b.\nAnswer: -14*b**2 + 4*b + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/11)\/l**0)\/((l*l**(2\/5))\/l**(2\/15)) assuming l is positive.\nAnswer: l**(-179\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -17 (c) -4 (d) -0.2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4763.2119*-1\nAnswer: -4763.2119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 61*v**2 - 39*v + 158. What are the prime factors of o(5)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from tsitaifs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2848314 to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010 + 1111000?\nAnswer: 110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5472*g - 2173*g = -374605 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-145)\/(-4))\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 8*b - 9)*(-2*b + 13*b + 3*b)*(-2 - 3 + 4).\nAnswer: -112*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5952 and -15\/6777344.\nAnswer: 20332032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 15 = 12*o. Solve m = -o*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 49 and -176?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 2*t - 16, 2*u + 3*t + 170 = 7*u + 139 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l + 15 - 5*l**4 - 125*l**3 + 125*l**3 + 30*l**2 = 0. What is l?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 0)*(u**4 + 13*u**3 - 9*u**3 - 9*u**3) + (u + 0*u + 0*u)*(1 + u**3 - 1) in the form p*u + x + f*u**4 + k*u**2 + l*u**3 and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1 = 11 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, -19, 7.59, -38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 343717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -6, -675, 972.9?\nAnswer: 972.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -65 and -216.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43471958?\nAnswer: 2, 17, 75211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) - (4 + 1*sqrt(11)))**2)*-1.\nAnswer: -sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*q + 5*s, 10 = -5*q + 5*s - 15. Solve q*g + g = 5*k + 30, k + 5 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*((-10)\/(-60))\/((-2)\/6). Let d be ((-65)\/25 - c)*5. What is the units digit of d\/(-15) - 13422\/(-90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 6, 0.3, -2\/5, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890677 is divided by 268?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c - 82*c = 172 + 708 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1540 divided by -2\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/9))**(2\/25)*(h**(-10\/9)\/h*h)\/(h\/(h\/(h\/(h*h*h*h**(-8)\/h)))) assuming h is positive.\nAnswer: h**(-1811\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, c: 1, y: 5, m: 6}. What is prob of picking 1 c and 3 t?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 17*b + 8. Let v be s(-12). Let r be v\/10 - (-6)\/15. Let z be (30000\/9)\/(2\/r). What is z rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51.1764 + -55.176391. Let i = 4 + h. Round i to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.1, 3\/5, 1\/2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j**2 - 3*j + 2. Let i be x(1). What is the first derivative of o**2 + 18*o - 18*o + i wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9459, -19643, -30549, -42177?\n\"Answer: -361*s**2 - 9101*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l - 1. Let j(m) = 2*m**2 - 11*m + 6. Let v(i) = 6*g(i) + j(i). What is the second derivative of v(d) wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15736 + 15738. Let h = 0.6 + -0.1. What is the second biggest value in v, -5, 0.6, h?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 5. Let r be l(-4). Let a be (4\/(-8))\/((-2)\/(-16)*-1). Put -5, r, a in increasing order.\nAnswer: -5, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, -3\/11, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05009 and 0.011.\nAnswer: 0.00055099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqqvqjjqq. Give prob of picking 1 q and 2 j.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**3 + 5*f**3 + f**3)*(3*f - 2*f + 3*f) + 27*f**4 - 636*f + 636*f as w*f**4 + v*f + n + o*f**2 + k*f**3 and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/((-45)\/(750\/(-50))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from rrrrrffmlfffffrvvrrf.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -229 - -231. Sort a, 4, -11, 5 in increasing order.\nAnswer: -11, a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6364631 decades in millennia?\nAnswer: 0.006364631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.40578ml in litres?\nAnswer: 0.00940578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uydrquqqruuyduydoqu. Give prob of sequence duu.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-3)\/(6\/(-4)). What is the remainder when (51\/(-3))\/(-1 - 0) is divided by (-34)\/(-4) + 1\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1547644 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:27 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 5*v**2 + 3*v - 1. Suppose -6*k + 4*k + 10 = 0. Let m be i(k). Suppose -6 = -2*w + m. Calculate the remainder when w is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16663 + 23496. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g**3 - g. Let t be y(-1). Let p be 4\/t + 6\/126. Let s = -271\/715 + -3\/143. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, r: 2}. What is prob of sequence rpp?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -6, 0, -4, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 87357 = -7*g. Let f = 2261 + -17618. Let y = g + f. What is y rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/9655 and -63\/25.\nAnswer: 48275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 180*z**6 - 14796*z**5 + 678285*z**4\/2 - 3089425*z**3\/3 + 1245750*z**2 - 680625*z + 827. What is k in d(k) = 0?\nAnswer: 5\/6, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -566, -2, -304 in ascending order.\nAnswer: -566, -304, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 29*l + 9*l.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {w: 1, u: 1, b: 2, d: 1, a: 2, s: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377568, 377649, 377752, 377889, 378072, 378313?\nAnswer: 378624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*d**2 + 147*d - d**3 - 6*d**2 - 18*d**2 - 14*d**2 as f*d**2 + g*d**3 + n*d + l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - r - 16, 2*h - 2 = -4*r. Let f be (-49)\/h + -1*3. Suppose -20 = -2*t - 2*p, 0*t + f*p + 32 = 5*t. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**2*k**3*x + 8*a**2*k**2 + 5*a**2*k + 158*a**2*x - 6290298*a*k**3*x + 4*a*k**2*x + k**2*x - 45*x - 2 wrt k.\nAnswer: -72*a**2*x - 37741788*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwl when three letters picked without replacement from {s: 4, o: 4, l: 2, w: 8, g: 1}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*k + 10, 4*k = 3*i + 5 - 13. Let g(b) = 7*b**2 - 2*b + 1. Let x be g(1). Let m be (x - 2)\/(5 - 4). Are k and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/7, 11.8, -2, -7, 4, 1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**3 - 301285*b**2 + 15378800*b + 15680080 = 0.\nAnswer: -60308, -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10143033123 (base 5) to base 16.\nAnswer: -a07d99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/33 + (-168)\/44. Let p(s) = s**2 - s - 8. What is the units digit of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*f + 425*f - 19 + 437*f + 6 - 1257*f + 14.\nAnswer: 35*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 15. Let o = g + 21. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029024 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(200))*2 + 5.\nAnswer: 11 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r. Let p(q) = -2*q + 5. Let m(a) = -a + 4. Let j(x) = -5*m(x) + 4*p(x). Determine c(j(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 6*d**2 + 5*d + 5. Let h be x(-5). Suppose -135 = -0*w - 3*w. Calculate the greatest common factor of h and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11774820 or 11774822?\nAnswer: 11774822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let b(u) = u**2. Let q be b(-1). Let y = 383 - 379. Let p(l) = -6*l. Determine q*p(j) + y*z(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*v - 12395 - 5972 = -3086 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25596, -13\/6, -0.5, -5\/6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -316 (b) -2\/11 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in months?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/3 - (-6)\/9. Suppose -8*r - l = -5*r. Let p be 2\/6 - 14\/6. Sort -4, r, p.\nAnswer: -4, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14851.\nAnswer: 14851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 248976588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j + 122 = q, 2*q = 4*j - 260. What is the greatest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7109 + -0.3113. Round q to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413828 or 413830?\nAnswer: 413828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 5*c**2 - 3*c**2 + 7*c**2 as z*c**2 + o + d*c and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13658111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6077 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*c = 130*c + 252 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*p - 41, -4*p = r + r + 38. Let b be 15\/((-1)\/(p\/6)). Suppose 0*q - 4*c = -2*q + 24, -2*c = -5*q + b. Solve -3 - q = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -48*v + 244. Let a(q) = -5*q**2 - 5*q + 5. Let s(w) = -w**2 - w + 1. What is v*s(p) - 2*a(p)?\nAnswer: p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1575, -247, 3 in increasing order.\nAnswer: -1575, -247, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726*g + 1941 = -1689. Let o = 0.254 + 0.046. Let y be (-29)\/28 + (-4)\/(-14). Which is the second biggest value? (a) g (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5185, 10352, 15517, 20686, 25865, 31060, 36277, 41522?\nAnswer: 46801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172003, -343976, -515949, -687934, -859943?\nAnswer: -1031988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9332*q**4 + 4828*q**2 wrt q?\nAnswer: 223968*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 6*u**2 + 4*u + 3. Let n be y(-6). Let q = -6 - n. What is the remainder when q is divided by 8\/(-3)*(-9)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 94. Let c = g - 49. Find the second derivative of 16*o**3 + 6*o**3 - c*o - 10*o wrt o.\nAnswer: 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 31. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2 - 33*d + 194. Give n(7).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 3*m. Let w(h) = -h. Suppose j - 2*o + 3 = -4, -5*j - o + 9 = 0. Let u(r) = j*b(r) + 3*w(r). Let f(p) = p. Calculate u(f(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - p**2 - 33*p**4 + 20 + 28*p**4 - 3*p - p**3 to the form c*p**3 + j*p**2 + i*p + v + f*p**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let c be (7\/(-2))\/((-1)\/2). Give l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, w: 6, x: 3, s: 5}. What is prob of sequence xnsx?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31233198?\nAnswer: 2, 3, 1831, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -24, -0.05, 4, 0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*r**3*s**2 + 45*r**3*s - s**2 + 1102 wrt r?\nAnswer: 12*r**2*s**2 + 135*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 4*l**2 - 4*l + 2. Let q be -15*(7\/(-5) - -1). Suppose 0 = 4*p - 2 - q. What is the units digit of h(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -32*v + 25*v. Solve 0 = -39*d + 38*d - v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3086930 is divided by 28320.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3633, 3771, 4001, 4323, 4737, 5243, 5841?\nAnswer: 6531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75847 is divided by 15168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*m - 75 = 0, 880*m - 878*m - 4 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*w - 129 = 0, w - 63 = -l + 57. Suppose -3*c + 100 = -5*x, -5*c - x + 220 = 16. Calculate the remainder when l is divided by c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:02 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t = 30*t - 56 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:22 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 238*c + 1 - 35*c - 1.\nAnswer: -273*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231 - 402. Is l <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/(8\/(-9)). Let q = -0.11 - -0.23. Let u = q - -1.88. Which is the biggest value? (a) u (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5191 - 81. Suppose 20398 = -i - 3*i + b, 5*b + x = -i. Round i to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - -141. Calculate the greatest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3*-5 - sqrt(153))\/(4*sqrt(81)).\nAnswer: 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15474, -30949, -46424?\nAnswer: -61899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + 2*p - 3. Let m be y(3). Let 0*r**2 + 0 - 2\/5*r + 2\/5*r**m = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*m - 60, 8*m - 3*m = -2*h + 48. Suppose 0 = -m*q + 3661 + 1395. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9210)\/(-135) - 2\/9. Let c = 101 - i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*r**2 + 39*r**2 + 40*r**2 + 275*r**4 - 122*r**2 - 76*r wrt r.\nAnswer: 3300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by (-1 + -1)\/(2\/(-24)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - 7 - (-1181 - 0). Suppose g = 2*r + 3*p, -5*r + 2938 = p - 0*p. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20702 divided by -6\nAnswer: -10351\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -55, -253, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12120, -12278, -12734, -13638, -15140, -17390, -20538?\n\"Answer: -25*j**3 + j**2 + 14*j - 12110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 46 = 2*a, 2*p - 21 = p + 2*a. Solve -p = -2*d - 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/3 + (-6)\/(-2). Determine g, given that 3*g**3 - g**3 - 2*g**4 + 2*g**2 - 2*g**s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 8. Let t = 1219 - 583. Let w = -641 + t. Let i(h) be the first derivative of -h**3 + 5*h + 1. What is w*b(v) - 8*i(v)?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -0*r - 12. Let v be (r - 14\/6)*-60. Solve 6*l + v = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u - 4*l + 26 = -47*u, -4*l - 10 = -u. Suppose -u*o - o + 38342 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 5*r. Let v be z(5). Suppose v*c - 3*c + 9 = 0. Is c < 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**5 + 6*j**4 - 6*j**2 + 3*j.\nAnswer: -3*j*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 53*y**2 + y + 5. Let o be j(-5). Suppose -3*f + 8035 = 259. Let r = f - o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 135. What is the units digit of (1 - p) + (-44)\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*u**3*w - j*u**2*w - 2*j*u**2 - j*u*z - 16*j*w - j - 2*u**3*z + 662*u*w*z + 3*w*z wrt z.\nAnswer: -j*u - 2*u**3 + 662*u*w + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*r - 19 = 0, -q - 4*r + 2*r + 1 = 0. Put 13, q, 2 in decreasing order.\nAnswer: 13, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) -1 (b) 2\/13 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15486351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:45 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 669 and 9143.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:35 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 7*z = 868. What is the highest common factor of 217 and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -96*v**2 + 2558*v + 3491. Calculate a(28).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - n - 3*n = 248, 3*t - 3*n = -363. Let b = -61 - t. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*k - 8 = -s, 6 = 3*s - k. Let j be 28\/(-21)*(s - 4). What is the first derivative of -5*t**j + 2*t**4 + 1 - 4 wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 588690052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*z = 1165*z + 1323 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-46 - (-6 - -12))*-1 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50162902?\nAnswer: 2, 743, 33757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = x + 12 + 5, 4*x + 40 = 3159*q - 3164*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102)\/187 - (-965)\/55. Put q, 5, -4 in decreasing order.\nAnswer: q, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87852 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*f**2\/11 + 3646*f\/11 + 1216\/11 = 0. Calculate f.\nAnswer: -1\/3, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 3*m + 33*x - 37*x, -m = 4*x - 8 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29783884 and 43940.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.180015174 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 25 = 15*w - 20*w, -4*w - 10 = -2*j. Put j, 0, 32 in descending order.\nAnswer: 32, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*k - 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6\/g**(-5))\/(g**2*g**2))**4 assuming g is positive.\nAnswer: g**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167146917 and 0.4?\nAnswer: 167146916.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -75155714 + -4817.9?\nAnswer: -75160531.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*v - 12*v**2 - 10*v + (-2*v + 2*v - v)*(0*v + 0*v - v) + 4*v**2 - 2*v**2 + 0*v**2 + (8*v + 13*v + 8*v)*(-4*v + v + 5*v) + v**2 + 0*v**2 + 0*v**2.\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (7 - -17) - 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6912829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(0 + sqrt(72) + sqrt(72)))**2.\nAnswer: -600*sqrt(2) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*q**3 + 4*q**5 + 0*q**3 + 2*q**5 - 7*q wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l**3 - 2*l**2 + 5*l - 4. Let j be y(1). Let t(s) = 7*s - 61. Let g be t(j). Solve -3*a + g = -0*a + 2*k, -3*k = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1027\/3 + 3080\/9. Which is the third smallest value? (a) -0.1 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, y: 2, c: 2, k: 5}. Give prob of picking 2 y, 1 k, and 1 l.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 343*m - 58996. Determine c(172).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + 3.1. Let m = n - -0.5. Which is the biggest value? (a) 0.1 (b) m (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**4*f + 46457*b**3*f + 5700*f - 15 wrt b.\nAnswer: 12*b**3*f + 139371*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -219b1 + -2221?\nAnswer: -23bd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.135757 smaller than -11\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 - 1831 - 1998 = 78*a + 1262 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - -128) + 1*-1. Suppose 4*c = s - 10. Calculate the remainder when ((-1854)\/c)\/(4\/(-6)) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -23*b - 13. What is w(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -15*t + 14*t + 5*c, -5*c = -5*t + 30. Let z(d) = 2*d - 3. Calculate z(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - n**2)*((-2 + 1 + 6)*(-7*n**2 - 6*n**2 - 31*n**2) + (-3 + 3 - n**2)*(-2 + 1 + 0)).\nAnswer: 219*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + j + 2*j**2 + 7 - 3*j**2. Let i(p) = p**2 - 314*p - 1600. Let s be i(-5). Calculate h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 14, 0.5, 0.6, 3, -0.4 in increasing order.\nAnswer: -0.4, 0.5, 0.6, 3, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 435?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 + (1 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i. Let t(w) = 3 - 3 + 9 + w - 3*w. Let m be t(-7). Let p(v) = -2*v + m - 23. Calculate p(h(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -4.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -50*q**2. Let m(f) = 21938*f**2. Give m(l(x)).\nAnswer: 54845000*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -2\/27*x**3 - 1\/108*x**4 + x + 0 - 5*x**2 + 1\/270*x**5. Let h(t) be the first derivative of g(t). Factor h(v).\nAnswer: 2*(v - 2)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14786 + 10*a**3 + 14720 - 29506 - 5*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -751, -1130, -1513, -1900, -2291, -2686?\nAnswer: -3085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.5 - -6. Which is the third smallest value? (a) d (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 12:48 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 43 + 117 - 6873*l**2.\nAnswer: -6873*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2. Let n(y) = 7*y - 7*y - 4*y. Calculate z(n(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s + 36. Let m be d(0). Let v(g) = -59*g + 42*g + m*g. Let a(t) = -t. Calculate v(a(f)).\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 11. Let d be (-1)\/4 - (-42)\/24*-5. Which is the smallest value? (a) u (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + 2021\/(-94))*(-6)\/28.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 2\/3, 8\/5 in decreasing order.\nAnswer: 8\/5, 2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u + 28 = -41*u. Let j be 0 + u + 0 - 3\/1. Suppose 30*i - 32*i = j. Sort -35, i, 0.\nAnswer: -35, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/(w**(-2)\/w))\/w))\/w**(-2))\/(w\/w**(-2)*w**(-4)) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474 + 121 = -7*a. Let v be 2 + a\/15 + 3. Are v and 18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d. Let n(m) = 18*m**2 + 3. What is n(i(x))?\nAnswer: 162*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}