diff --git "a/data/dm_maths/full_data/5575_11255.jsonl" "b/data/dm_maths/full_data/5575_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/5575_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose s - 5*z + 9 = 0, 3*s = -z - 2*z - 9. Suppose -p + 0*p + 14 = -5*u, 8 = -4*u. Let m = -44 - -46. Put m, p, s, -8 in decreasing order.\nAnswer: p, m, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 198 - 215 = l, 0 = -4*l - 20. Solve 5*f - 18 = -j, 2*f - 13 = -j - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:24 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.6482 millennia in centuries?\nAnswer: 2776.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4250 is divided by 1057?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i - 380 = 0. Suppose a - 3*a + i = 0. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 3901c?\nAnswer: -3901a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 422*b**4*h + 2*b**2 + 3*b*c**3*h + 576*c**3*h - 2*c**3 - 2*c**2 - h wrt b?\nAnswer: 1688*b**3*h + 4*b + 3*c**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 15, -5*v + 5*u = -v + 7. Suppose 0 = 2*s - s - 3. What is the third derivative of s*n**v - 4*n**2 + n**6 + 3*n**2 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**5 + 4*u**5 + 0*u**5)*(-5 + 2 - 11) + 0*u**3 + 0*u**3 + 5*u**5.\nAnswer: -37*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 887 + -878.23. Let l = d - 10. What is l rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 3, x: 12}. Give prob of picking 2 x.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 2*r + (1 + 0 - 2)*(-r + 2*r - 2*r) - 154*r + 75*r + 34*r - 20*r + 55*r + 58*r in the form a*r + j and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -767 + 821. What is the remainder when 83 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 9*v + 6*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 5338?\nAnswer: 21352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56658350 is divided by 211?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-5))\/(((-42)\/240)\/(-7)). Calculate the remainder when 4 is divided by (((-8)\/3)\/(-4))\/(s\/24).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/60 and 187\/1907460?\nAnswer: 1907460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6443, 3\/7, 2?\nAnswer: -6443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/12053096 and 103\/66?\nAnswer: 36159288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*k + 2*v - 52, -18 = -k + 2*v. What is the greatest common factor of k and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y + 4. Let u be v(-3). Suppose -5*b - 6 + u = 0. Let c = -8 + 11. Solve -5*d = 10, a - c*d = 3*a + b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*95\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1008 = 15*z. Let v = -74 - z. Let r be 1 - ((2 - v)\/(-4) - 3). Solve 0*h = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (41\/5 - 143\/715).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -59, -67, -75, -83, -91?\n\"Answer: -8*v - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 818485 and 5055.1.\nAnswer: 823540.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2798799 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4499*g + 66451 - 228415 = 0 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/20117, 3\/149, 0.4?\nAnswer: 3\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*n - 3*n + 90*n - 7*n - 4*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -517 + -5c427?\nAnswer: -5c940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(sqrt(1100) - sqrt(1100)*2*-4).\nAnswer: -5 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 - 2.7. Let n = q + -1. Which is the nearest to 1\/2? (a) n (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 4}. Give prob of sequence mdd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 + 2*k**2 - 4*k**2)*(-1 + 0 - 1) - 4*k**2 + 2*k**2 + k**2 + 42*k**2 - 41*k**2 + 26*k**2 to p + c*k + t*k**2 and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22142 plus -0.4?\nAnswer: 22141.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t**2 + 253*t**3 - 17*t**2 + 9*t**2 - 7*t**2.\nAnswer: 253*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:11 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.03, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-35581)\/(-68) - (1 + (-1)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*n**2*y - 1732*n*y**3 + n*y**2 + 18*y**3 + 2763*y**2 wrt n.\nAnswer: -18*n*y - 1732*y**3 + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u**5 - 16212*u**4 + 153252*u**3 + 432116*u**2 + 339528*u + 76896 = 0. What is u?\nAnswer: -1, -2\/5, 12, 801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1. Let p be (-3)\/9 - (2 - (-10)\/(-3)). Let z(a) = 3*a + 4. What is p*z(c) + 2*j(c)?\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/9 (b) -4 (c) -30 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -r - 4*k + 38, 2*r + 2*k = 74. Let c = -25 + r. Calculate the remainder when 62 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/210276 and 121\/95580.\nAnswer: 1051380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 1124562?\nAnswer: -1124567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 2:48 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*n - 6 - 6 = 0, 5*n - 6 = 2*i. Suppose -4*t - 48 = -5*q, i*q - 34 = -2*q + t. Let k(o) = -o**3 + 8*o**2 + 6*o - 11. Is k(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**4 + 951*y**3 - 27480*y**2 - 66332*y + 234960 = 0.\nAnswer: -979, -4, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12768, 25390, 38012, 50634?\nAnswer: 63256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 4*j - 3. Let o be (-2)\/(-5) - (-18)\/5. Suppose 15 = -o*z + z. Give h(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 95. Let u = -7076 + 7075.5. Sort t, -3, -0.3, u in descending order.\nAnswer: t, -0.3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221686*-269.\nAnswer: -59633534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 299893 + -299859. Suppose 517 + 27 = 4*d. Calculate the greatest common factor of d and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 102 = -a. Suppose 2*c = -4*h + 3 + a, 0 = 5*h - 20. Let o(r) = 5632*r + 19*r**c - 5632*r. Let v(p) = -p. Determine v(o(s)).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7456, -17353, -29652, -44347, -61432?\nAnswer: -80901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - sqrt(63)*-1*-6 - 2*sqrt(252)\/sqrt(4))\/((sqrt(900) + ((sqrt(900) - (sqrt(900) + -2*sqrt(900))) + sqrt(900) - sqrt(900)) - sqrt(900))*-4).\nAnswer: 7*sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18811 and 2041?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Convert -142223000 (base 5) to base 8.\nAnswer: -2651552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25141140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdw when three letters picked without replacement from eeeweweemxemwmedem.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216127 - 11833*g**2 + 11834*g**2 - 216127.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(700))**2 + -1 + 4*sqrt(700)*-2).\nAnswer: -360*sqrt(7) + 2109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2255927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267 is divided by 56?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.234 + 1221688\nAnswer: 1221687.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 51610\/47640*15\/13\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/32 and -17\/49831824?\nAnswer: 99663648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8313.55? (a) 3\/5 (b) -3 (c) -2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -33 + 47 + 3 + -24?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 divided by -69.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18642599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 8, p: 2, b: 3, v: 4}. What is prob of picking 1 p and 2 b?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 - n**3 + n**3)*(11 - 2 + 4) + 10*n**3 - 9*n**4 - 23*n**3 + 14*n**3.\nAnswer: 17*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - a + 1. Let h be c(2). Let o(w) = 1050*w - 37788. Let z be o(36). Is h smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3620, 3572, 3498, 3386, 3224, 3000?\n\"Answer: -2*h**3 - h**2 - 31*h + 3654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 9. Suppose 3 = b + g. List the prime factors of (0 - -1)\/(b\/20).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*m + 1)*(-2*m**3 + 35*m + 3*m**2 - 35*m).\nAnswer: -4*m**4 + 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 5:25 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 1 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-8)*1\/4*311\/((-121290)\/1820)\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8550793409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 3 - (950 + -958)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(19) + 4)*-4.\nAnswer: -4*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.87 - 0.13. Let o = -57.0000133 - x. Round o to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7076.7248 + 304.8162. Let l = -7444.6 + q. Let x = l - -63. What is x rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 1.6. Let p = -5.5 - -7.5. What is the second biggest value in x, p, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -284*h - 1354. Calculate the remainder when b(-9) is divided by 197.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167 - 1171\/7. Which is bigger: n or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 6 = i, -158*s - 8 = -4*i - 154*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10444114?\nAnswer: 2, 5222057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, 1\/4, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -46299709.3 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.4 - -26. Let t = -4.6 - p. Which is the third biggest value? (a) t (b) 1\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 108 (b) 5 (c) -107\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbhh when four letters picked without replacement from bbhhwhbhbhhhwb.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 25 + 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - j + 184, -3*j = -3*x + 84 + 72. Solve -47 + x = 4*s - h, -4*h = -s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -299*i**5\/20 + 323*i**2\/2 - 197*i. Differentiate x(d) wrt d.\nAnswer: -897*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*c - 16, 0 = n - 2*n + 3*c - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.086 + -0.286. What is the nearest to 2\/5 in 0.4, v, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 16, 30, 48, 70, 96?\n\"Answer: 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -12*b + 8. Suppose 4*s + b = 4. Let d(x) = -12*x + 2. What is the remainder when 54 is divided by d(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-12)*3\/(-2). Let y = 17 - 12. Put -3, g, y in descending order.\nAnswer: y, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 638 - 736 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -27134*x**2 + 13575*x**2 + 13383*x**2. Let g(h) = h**2. Calculate g(u(r)).\nAnswer: 30976*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uelelleleeeue. What is prob of sequence el?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*z - 16715 - 42304 = -817*z for z.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 18*w**2 - 5*w - 20. Let y(i) = -33*i**2 + 9*i + 36. Let v(j) = -9*l(j) - 5*y(j). Let q(x) = 2262*x**2. Calculate v(q(u)).\nAnswer: 15349932*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43\/4 of a day?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -10. Suppose 7*o = 3*o - 8. Let j be 2 - (0 - a\/o). Solve -2*y = -5*n + 7 - 1, j*y = -2*n - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 120622 or 120623?\nAnswer: 120623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 317 - 314.34. Let n = -2.1 + t. Let w = n - -0.49. What is w rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 87*u**2 - 45*u - 81. Let v be s(-43). Let r be (-34)\/72 + (-4)\/(-18). What is the nearest to -38 in -0.4, r, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 10*a - 35. Let j(g) = -2*g + 1. Let l(t) = 2*t - 3. Let n(h) = 2*j(h) + 3*l(h). Give 2*i(s) - 11*n(s).\nAnswer: -2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3628 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -131?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*k**2 + 64*k - 4096.\nAnswer: -(k - 128)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176117 is divided by 4673.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3607, 3610, 3613, 3616?\n\"Answer: 3*i + 3604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 15090176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -385 and 5.\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 91.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63990302 is divided by 1882067.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 354 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 1080 = 208. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.33? (a) -9\/7 (b) 9 (c) -156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/224 and -117\/280?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from {n: 3, v: 2, q: 6, h: 1, u: 1, m: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -98\/67 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -291233\/2100 - -10426\/75. Calculate the common denominator of -62\/3045 and p.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1520*x**2 - 146*x**2 + 9 - 9 as d + f*x**2 + h*x and give f.\nAnswer: 1374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13706 + 24570000117?\nAnswer: 24570000117.13706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 145, 2\/5, -0.1, -19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/28 - -7)\/((-58)\/(-16) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 + 545913399?\nAnswer: 545913398.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**2 + 3*u + 0*u + 82*u**2.\nAnswer: 66*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11*c**3 - 6*c**2 + 6*c - 6. Let q(j) = 100*j**3 - 55*j**2 + 55*j - 55. What is -6*q(u) + 55*z(u)?\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/12348 and -52\/35?\nAnswer: 61740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.8 - -11.8. Suppose -c = -0*c - 3*r - 94, -2*c = -4*r - 192. Let i = c - 698\/7. What is the nearest to i in p, 3\/4, -2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430566 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: Expand (-3 + 3 + 2)*(6*z - 1 - 5 + 8) - 3*z + z - 2 - 4*z + 0*z + 4*z - 11*z.\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16621?\nAnswer: 11, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Calculate s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -191.4 in 0, 0.05, -4, 185?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2 - 15*d**2 + d**2 + 21*d**4 - 7*d**2 wrt d.\nAnswer: 504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 12*o**2 + 12*o + 16. Let z be d(-11). Suppose -z*k = -4*q - 26, k - 14 = -4*k + q. List the prime factors of (-6)\/k*-20 + -2.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(12)*3) + sqrt(132)\/sqrt(6)*2)\/((-2*sqrt(99)*-2)\/(-6*sqrt(9)*-2)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/3 (c) 0.5 (d) 23 (e) 1.12 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u**0\/u)\/u))\/u*u**(-5)*(u**(-6)\/u)\/(((((u**(1\/4)\/u)\/u)\/u)\/u)\/u))**(-11\/9) assuming u is positive.\nAnswer: u**(275\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 140*n + 3572. Calculate the lowest common multiple of 108 and f(-25).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v = -2*z - 14, 2*v - 38 = 2*z. Calculate the least common multiple of 30 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 3\/2*p**2 - 6*p + 2. Let a(v) = -4*v + 7. Give 4*a(y) + 5*n(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j - j + j + (5*j - j - 3*j)*(-5 + 4 - 1) - 2*j + 0*j + 3*j - 7*j - 2*j + 14*j as w*j + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 5*y. Let a be m(5). Let v be 1\/5 - 28\/(-10). Suppose 52 + 39 = 4*q + v*f, 5*q - 5*f = 140. Solve -5*c - 3*o = -a - 25, 5*c + o = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 432478.000051 - 432485.1. Let m = 550 - 542.9. Let a = c + m. Round a to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 642561 or 642553?\nAnswer: 642553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**2 + 6*h + 2. Let v(t) = 15*t - 51. Let g be v(3). Is k(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-45)\/12 - (-23219)\/124. What is the greatest common divisor of c and 4042?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554538 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26537001835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -3\/2*f**2 + 0*f + 1\/3*f**3 - 10. Determine l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 11 = 3*j + 5*n, 2*n + 8 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32718\/164)\/(-57))\/(2\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11204 + -130301?\nAnswer: -142010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 43115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3585.6 + 1.164.\nAnswer: 3586.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 + 103 = 5*v. Calculate the highest common divisor of v and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (886\/6202*-1*(-2)\/(-1))\/(6\/182)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 884 or -3603?\nAnswer: -3603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 9. Let s(g) = g + 8. Let y(p) = p. Let q(l) = s(l) - 5*y(l). Let h = -79 - -114. Suppose h - 5 = 5*x. What is x*o(d) - 7*q(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193611883 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2 - 282*z - 6627 = 0. What is z?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6702, -26770, -60218, -107046, -167254?\nAnswer: -240842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26989452 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 8*k + 15. Suppose -5*i = -k*a - 10, -4*a + 2 = 3*i - 5*i. Solve 0*v = -a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 1. Let n = 7 - 7. Let g = n - 2. Let y(j) = -j. Give g*y(b) - x(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 1 - 8 - (6 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/318120 and 3\/6025.\nAnswer: 1590600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 153100144 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43919, 44095, 44433, 44969, 45739, 46779, 48125, 49813?\nAnswer: 51879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54323926 divided by 27161963?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3709 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29680 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/30)\/((-19)\/(-114)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*1 + -1 - (-250 + 76). Let z = 196 - b. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-360))\/((-4)\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 12 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515 is divided by 105?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8239 + -8277. Is -37 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1283, 2564, 3865, 5204, 6599?\nAnswer: 8068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/60340 and 29\/80?\nAnswer: 241360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2083 is divided by 91?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8400 = -15070. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -1\/3, -263\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -1)*(-3)\/9. Suppose 0 = -2*o + 6. Let p be (6 - o - 0) + -4. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4110305 (base 6) to base 9.\nAnswer: 327535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 350805\nAnswer: 701610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 633501.5 micrograms in tonnes?\nAnswer: 0.0000006335015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 226416 + -46?\nAnswer: 226360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*18\/45?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -87, 156\/139 in ascending order.\nAnswer: -87, -3, 156\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -635 - -635.0767. What is x rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 216 = 3*q. Is 1634\/18 + 16\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvjftjj. Give prob of picking 1 f and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 10*l = 12. Let w(x) be the first derivative of 1\/3*x**l - 1\/4*x**2 + 1\/8*x**4 - x - 2. Factor w(q).\nAnswer: (q - 1)*(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1248*w**3 - 30865 - 19244*w**3 + 30865.\nAnswer: -17996*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -2. Suppose 0 = -15*u + z*u + 8. Suppose 4*p = u*i - 76, -5*i + 218 = 2*p - 5*p. Calculate the remainder when i is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/7 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1196 + 1194.614. Round b to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 38 = -0*u. What is the remainder when u is divided by (15*1)\/((-9)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*r - 100*r + 288*r - 102*r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -36. Suppose -2*a + w*o - 34 = -2*o, 5*a + 71 = -2*o. Let j = a + 16. Solve 0*g = g + j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105532\/3 < 35176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 3:37 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5256125 is divided by 917.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 119084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13*((-15)\/(-4))\/((-378)\/(-504))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121944, -488250, -1098760, -1953474, -3052392, -4395514, -5982840?\nAnswer: -7814370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2028714100 rounded to the nearest 1000000?\nAnswer: -2029000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1, -1.69, -1\/2, 25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 275838 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -383232*w**2 - 286770*w?\nAnswer: -766464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363940.\nAnswer: 2, 5, 31, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618*j + 10477 = -754*j + 6382 - 17253 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*n**3 + 0 - 16*n**3 - 2 + 0 as q*n + b + x*n**2 + l*n**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1769124 divided by -1?\nAnswer: 1769124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19654*10.614.\nAnswer: -208607.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 5 + (-1 - -1). Let o be 4\/(-6) + 16\/u. Suppose 1656 = o*z + 4*d, 5*z + 6*d - 4145 = d. What is z rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 8*s**2 + 3*s - 24. Let n be r(8). Suppose 2*g - 3 - 3 = 0. Suppose n = g*z - z - 8. Solve z*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.13603 - -1.53603. Let r be (-8)\/(-6)*1\/(-4). Which is the closest to r? (a) -2\/11 (b) -6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 - 3*c**4 + c**4)*(7*c + 14*c - 2*c) + 3 - 2*c**5 - 3.\nAnswer: -21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3 + 5. Suppose x*a + 4*d = 5*d + 45, -4*a + 72 = 4*d. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 44.72. Let r = l - -0.98. Suppose 16 = 4*v, 4*i - v + 5 = 1. What is the third biggest value in i, 22\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/7, -0.0648, -2, -0.06 in decreasing order.\nAnswer: -0.06, -0.0648, -0.1, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -65*t - 4. Let v be i(-1). Let j = v - 64. Let o = -0.3 - -0.4. Which is greater: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339 - 193. Let k be n\/14 - ((-60)\/(-42) - 1). What is the greatest common factor of k and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 4, 0.5, 1\/7 in increasing order.\nAnswer: -5\/2, 1\/7, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*t = -1961, 94*k - 90*k - 5*t = 2561. Is 71 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9774.9999976426 - 9775. What is o rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Suppose 0 = 5*f - o + 2, 3 = -f + j*o - 5. Let c(u) = 5*u + u**2 - 4*u + 4*u**3 + f - 1. What is c(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 385, -319 in decreasing order.\nAnswer: 385, 4, -5, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179 - 107. Let c = u - 67. Solve c*o + 7 + 13 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 556389 divided by 1\nAnswer: 556389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. What is the units digit of 7 - y - -2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 7*x**2 - 53*x - 365. Let j be r(-7). What is the highest common divisor of 10614 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -2, 129689 in descending order.\nAnswer: 129689, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4097145 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 21*r - 22. What is c(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tee when three letters picked without replacement from yeztze.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/9 (c) -9 (d) 4.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -o + 6, -6*b + 18 = -7*b - 2*o. Let n be (630\/(-2646))\/(b\/6). Suppose 0 - 2\/7*c - n*c**2 = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 1. Let p = q + 1. Which is the second smallest value? (a) -0.3 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1290.8 + 1285.8. Which is the second smallest value? (a) 1\/28 (b) l (c) -3 (d) 631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 25*i - 119. Calculate the least common multiple of g(-11) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (3*sqrt(126))\/sqrt(7))\/(5*(sqrt(9) - (sqrt(9) + -2*sqrt(9) - sqrt(9)))).\nAnswer: -2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 909838.4 - 909826.066478. Let j = 12.07352157 - n. Let q = j + 0.26. Round q to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 0 - 2 - 3*h**4 + 0 + 5*h**4 to a + j*h + g*h**4 + i*h**2 + w*h**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441314347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 88*i + 968.\nAnswer: 2*(i + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 2*i + 5*v, -i + 3*v - 2*v + 1 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 4 + 0*r + 3*r - 3*r**2 + 3 + 2. Let c(y) = -y**2 + y + 1. Suppose -7*s + 2*s + o = 15, 0 = -5*o. Give s*c(b) + t(b).\nAnswer: -b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*i + 7*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 836918309 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 15 - 18. Suppose -2*w + 12 = 2*f - 4*w, 2*f - q = -w. What is the remainder when 7 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from vvvxkvkpvvvvv.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -458 - 5?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207.\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 + 74\/10. Suppose 0 = 3*l + 3*q - 15, l - 4*q - 3 - 2 = 0. Solve l*p - 3 = f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + 726*v**3 + 1011*v**3 - 38*v**2 + 1110*v**3.\nAnswer: 2847*v**3 - 27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24180852?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*g**2 + 20*g**2 - 9*g**4 + (-2 + 2 + g)*(-2*g**3 + 2*g**3 - 2*g**3) to f*g**4 + s + n*g**2 + t*g + h*g**3 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -32. Let z = 0.096 + -0.096. What is the second smallest value in m, z, 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 256, 449, 646, 847, 1052?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(272)*-5*-1 + -1.\nAnswer: -20*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 159, 313, 465, 615, 763, 909?\n\"Answer: -v**2 + 157*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 74*p**2 - p. What is the remainder when c(1) is divided by 19\/(24\/88 - (-24)\/33)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1421.2 to the nearest ten.\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/13)\/(n*n\/(n**20\/n)) assuming n is positive.\nAnswer: n**(217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -33225.385 rounded to the nearest 10?\nAnswer: -33230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234597?\nAnswer: 7, 13, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870177.57 rounded to the nearest 1000?\nAnswer: 1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i = 0. Suppose 0 = -2*v + 6 + 2. Let p = 1 - 2. What is the biggest value in p, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from {k: 4, j: 1, x: 1, u: 2, z: 2, i: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.53, -4, -3, 0.5, 3\/22, -81, -1?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*f - 108 + 108 to r + l*f and give l.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -15*a**2 + 15. Suppose 2*b + 4 = 4*b. Let y(v) = -3*v**b - v**2 + 3 + 1. Let i(x) = 6*s(x) - 22*y(x). Determine n so that i(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = -k + 6, 5*b - 4*k + 18 = 0. Let u = b + 9. Solve u*q = 4*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -825 - -537. Let o = w + 405. Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 2*g - 42 - g to the form j*g + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j. Let p = 92 + -65. What is the remainder when p is divided by i(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 16*i**2 + 15*i - 3. Let j be g(15). Let s be ((-12)\/(-4) + -8)*j. What is the derivative of -2*z - 21 - s + 28 wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94 plus -64372507897?\nAnswer: -64372507897.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1295, -5281, -12013, -21563, -34003, -49405?\n\"Answer: -12*i**3 - 1301*i**2 + i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(19 - -1))\/(20\/(-40)). Sort 1\/4, -1, h, -11.\nAnswer: -11, -1, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 637*y**2. Let m(w) = 114*w**2. Determine x(m(k)).\nAnswer: 8278452*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 19 + 148*n - 13 - 12 - 44*n.\nAnswer: 104*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4 - 8) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzdzdddjdhddhhqzdd. What is prob of sequence dd?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.06347 - -5.2334644. Let o = a + -0.17. Round o to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20942 divided by -37\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 85.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(9)\/sqrt(3))*-1)**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iitt when four letters picked without replacement from {t: 5, i: 8}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 27. Solve u - z + 2 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 12*m - 19. Determine s(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 + 60 = 10*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -71, -72, -73, -74, -75, -76?\n\"Answer: -v - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 + 4427515*k + 4427516 = 0. What is k?\nAnswer: -1, 4427516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-5))\/((-204)\/(-2550))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 w when three letters picked without replacement from {w: 3, u: 5, s: 1, z: 1, t: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 12*z**2 - 10*z - 9. Let t(y) = y**3 + 5*y**2 - 7*y + 5. Let j be t(-6). Let h be m(j). Solve -5*f + 2*f - 13 = h*l, 0 = 4*f - 2*l - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 5716*c**3 - 11845444*c**2 + 10509666240*c - 3380597049600.\nAnswer: -(c - 1880)**2*(c - 978)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = 0. Suppose p*o - 12 = -3*o - 3*g, -4*o + 4*g = -24. Suppose -4*s + 5*s = -s. Which is the closest to -6? (a) s (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -43.83\nAnswer: -87.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8 - 28. Suppose 0 = 5*k - 11 - v. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 16*i**2 + 5*i + 42. List the prime factors of g(15).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 5086989?\nAnswer: 5086989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmkk when four letters picked without replacement from {v: 3, m: 5, k: 4, i: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 10:43 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3 + sqrt(1053) + -1 + sqrt(1053) - (sqrt(1053) + 0 + 2))*-5 + -5 + 1)*-2.\nAnswer: -90*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211120102110 - 2?\nAnswer: -1211120102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-3 - -6) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11 - 11 = -2*l, 4*k - 15 = l. Suppose -k*y + 25 = y. Suppose 8 - 48 = -y*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/23 - -31\/92. What is the closest to b in 1\/4, 0.3, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20101 (base 5) to base 13\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50308538.\nAnswer: 2, 7, 43, 193, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166408 and 31?\nAnswer: 166408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -1\/2*d**3 - 1\/4*d**4 + 0*d**2 - 1\/20*d**5 + 0 + d. Calculate y(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + 68?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zziiiz. Give prob of picking 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 2*i. Let w(h) = -2*h**3 + 35*h**2 + 44*h. Let c(m) = -14*b(m) + 2*w(m). Factor c(z).\nAnswer: -4*z*(z - 15)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 + 20*v**4 + 110*v**3 + 40*v**2 - 168*v = 0. What is v?\nAnswer: -3, -2, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 823635.8 millilitres?\nAnswer: 823.6358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-392))\/((-24)\/(-384)*24)*-182.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7398 is divided by 1663.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -218*g**4\/3 + 6326*g**3\/3 + 27788*g**2\/3 + 28264*g\/3 - 176 = 0?\nAnswer: -2, 2\/109, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 104 = -11*v, 0*f - 79 = -7*f + 5*f - 2*v + 11*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**3*m - 17*j**3 + 8*j**2*m + 3*j*m - 380 wrt j.\nAnswer: 18*j*m - 102*j + 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:49 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + 3 - 4 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 37806\/30 - (-4)\/(-20). Suppose -28*s + 35*s - c = 0. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + n**4 - n**2 + 4*n as i*n**4 + p + a*n**2 + b*n**3 + u*n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-66)\/4)\/(367985\/73600 - 5). Suppose -12*r - 10*r + x = 0. Round r to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*x**3 - 2*x**2 + 3*x**2 + 0*x + 9 + 2 + 79*x**3 + 6*x to the form m + w*x + u*x**2 + q*x**3 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -13\/58, 4\/3, 106, 0.3, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -w + 580, -2*w + 355 = 4*s - s. What are the prime factors of (-1510)\/6*(-207)\/s?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37374339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 - -2)) + 2 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 229 (b) 1 (c) -2\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/461656? (a) 0.8 (b) -2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/252 - z**6\/45 + z**4\/18 - 14*z**2. Factor q(y).\nAnswer: 4*y*(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 96 = 9*d. Let b = d + -48. Round b to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -32*q - 80. Let d be w(-8). Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 3.7. Suppose 3*m = 1 + 2, -4*j - 3*m - 145 = 0. Let t = 183\/5 + j. Which is the smallest value? (a) -0.2 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 2*j + 10. Give l(-10).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11949*v**6 + 1682*v**2 - 1 wrt v.\nAnswer: 1433880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/48)\/((-135)\/891)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55859*a - 3*a**5 + 56*a**4 + 55884*a - 71*a**2 - 6*a**3 + 108*a**4 wrt a.\nAnswer: -180*a**2 + 3936*a - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 4, -3.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfi when three letters picked without replacement from xfvvvvffvvfvfvivdvdv.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-160352))\/(5\/(2*-10)). Let n = -1333133\/1383036 - v. What is the common denominator of n and 89\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 14*h**2 - 4*h**3 - 9*h**2 + 6*h**3 - 13*h**2 - 40*h - 48. Let q(r) = -3*r**3 + 7*r**2 + 40*r + 48. Let z(p) = -4*c(p) - 3*q(p). Factor z(d).\nAnswer: (d + 3)*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.934 + 0.066. Which is bigger: n or -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25940152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 9:47 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*z**4 + 38*z**2 wrt z.\nAnswer: 2952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11828651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 133801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -12*j - 6. Let k be i(3). Let b = k + 44. Solve b = -h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -5\/6, -57\/7, 0.6 in decreasing order.\nAnswer: 85, 0.6, -5\/6, -57\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + -3 - -1) - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -281931*p**4 - 903587*p wrt p.\nAnswer: -3383172*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17594 + -4579. List the prime factors of s.\nAnswer: 5, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n\/((n*n**(1\/6))\/n)))**(3\/17) assuming n is positive.\nAnswer: n**(25\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 136 + 89*z - 285 + 152 + (0*z + 0*z - 2*z)*(-3 + 0 + 1) as u*z + d and give u.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*a**2*c*k - 447*a**2*c + a**2*k**3*z + 246*a*c*k + 8*a*k**3*z - 2*c*k**2 + 4*k**3*z wrt a.\nAnswer: 78*c*k - 894*c + 2*k**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, d: 7, s: 7}. What is prob of picking 1 c and 3 d?\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*j = -47*j - 522 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 551*j*l*t**2 + 2*j*t**2 + 2*j*t + 26*j - 108*l*t**3 + 20*l + 354*t**3 - 2*t - 529 wrt l?\nAnswer: 551*j*t**2 - 108*t**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 14034*h**2 - 295488*h + 760104.\nAnswer: 2*(h - 18)*(h - 3)*(h + 7038)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 3.04. Suppose -47 - 33 = 5*k + m, -2*m = -3*k - 48. Let f be (-24)\/k*1\/6. What is the nearest to 1 in f, r, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdc when three letters picked without replacement from gdxxdcd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-3) - -2 - -3. Suppose y + 2*y + 3*o = 0, -d*y = -o - 15. Suppose 5*f = -3*t + 342, -f - 3*t = -y*f + 279. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -23*o - 379 + 759 - 357 + 24*o. Let l(u) = -2*u - 45. What is 13*h(b) + 6*l(b)?\nAnswer: b + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4091 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/60 - n**5\/15 - n**4\/8 - n**3\/2 + 152*n**2 + n. Let p(j) = 3*j**3 + 5*j**2 + 4*j + 4. Determine 4*a(b) + 3*p(b).\nAnswer: b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**4 - 1 + 1 + (-126*y - 1124 + 1124)*(0*y**3 - y**3 + 3*y**3) in the form w*y**3 + n + c*y**2 + i*y**4 + s*y and give i.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00302273489 rounded to seven dps?\nAnswer: -0.0030227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/595*-1*14\/(-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 16*i - 25. What is r(17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39919120789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = k + 3*h - 854, 0 = -2*h - 10. List the prime factors of k.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, k: 2, y: 2, z: 1}. What is prob of sequence byyz?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, 58, 227, 558, 1105?\n\"Answer: 9*y**3 - 2*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1843 + 1843.04. Let d = -0.06 - -0.56. Which is the closest to -2\/3? (a) t (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -23 (c) -0.27 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b**2 - b**2 - b**2 + 11*b**2 as f*b + n*b**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5963025*r**4 - 11020668660*r**3 + 1845209808*r**2 - 514931904*r\/5 + 9580032\/5.\nAnswer: 3*(r - 1848)*(215*r - 12)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5211)\/965)\/(354\/90 - 4).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365163470 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 7*g - g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121077 is divided by 52?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-9))\/((-16)\/24). Let v be (56\/864)\/(3 - 33\/12). Which is smaller: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6865 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 81295 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-1 + (7 - 8))) + -2 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 2252399 - 611522 = 3462407. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -11, -8, -1, 10?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569260 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -c917 (base 13) in base 5?\nAnswer: -1343110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9 - (16\/(-6) - 1). Suppose 3*l = -l + j*l. Solve -2*m + 0*y = 2*y + 14, m + 2*y + 12 = l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17461?\nAnswer: 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**41*v))\/v*v**(-1\/7)\/v*v)\/(v**25\/(v\/v**(-16))) assuming v is positive.\nAnswer: v**(-351\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:22 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 809.01315 + -809. What is o rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 13*y + 3. Let u(m) = -4*m + 1. Suppose 28*v - 10110 = -2*v. Let t = 339 - v. Determine t*k(l) - 7*u(l).\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-13)\/(1768\/(-2108))).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + c**2 + 4*c + 3. Calculate q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 165, 145, 115, 75?\n\"Answer: -5*j**2 - 5*j + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.51. Sort -3\/4, j, 0.2 in ascending order.\nAnswer: -3\/4, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 4)\/((-10)\/30). Suppose -u*w + 24 = -9*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 + 9*z + 3. Let p(s) = -s**2 + 4*s + 1. Let k(q) = q**3 + 4*q**2 + 4. Let c be 8\/3*18\/(-12). Let n be k(c). What is n*l(t) - 9*p(t)?\nAnswer: -3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 65*(-72)\/(-77220) + ((-509)\/957 - (-2)\/6)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 139*j - 1. Let b(y) = 259*y - 2. Let o(c) = -b(c) + 2*k(c). Let h(w) = w**2 - 4*w + 1. Let x be h(4). What is o(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, 1826 in increasing order.\nAnswer: -4, 16, 1826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + c + 1. Suppose 2*s - 22 = -5*v, -v = 3*v - 3*s - 13. Let j(f) = f - 8. Let z be j(v). Let o(p) = -6*p**2 + 3*p + 7. Determine z*r(h) + o(h).\nAnswer: -2*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 17 - 33 = 0. Let i(v) = 5*v**2 - 2*v + 1. Let c be i(3). What is the highest common factor of k and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/2420)\/(1\/5).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 9. Give x(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96289.48s to milliseconds.\nAnswer: 96289480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - x + 5. Suppose -9*o + 14 = -76. Suppose -5*p - o = -2*t - 30, -4*t - p - 18 = 0. What is f(t)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/27*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126798787 a multiple of 823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6166769339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2839 + -1716. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47584, -95169, -142754, -190339, -237924, -285509?\n\"Answer: -47585*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**2 - 1. Let z = 498 + -489. Suppose -z*r + 5 = -103. What is the remainder when x(2) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1780848 divided by -74202.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2902843*21\nAnswer: 60959703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 - y**4 + y**4 + (-4 - 4*y**3 + 1 + 4)*(-2*y**2 + y**2 - y**2) - 23*y**5 - 81*y**5 + 452*y**5.\nAnswer: 355*y**5 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10075 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(33)\/sqrt(75))**2 + (sqrt(275) + sqrt(11) + sqrt(11) + 0)**2) - (-6*((sqrt(77)*2)\/sqrt(7) + 2*sqrt(11) + 2))**2)*-2.\nAnswer: 1152*sqrt(11) + 162168\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:26 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4303 (base 5) to base 8.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4392 and 188307?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 8. Let o be ((-2)\/4)\/((-3)\/(-6)). Let m = o - x. Solve c - 3*h = -m*h - 3, -3*c - 9 = 2*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/((-2976)\/(-240))*(-1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*d**3 + 44 - 96 - d**2 + 14*d - 5*d + 51 wrt d.\nAnswer: 126*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4c144b (base 13) to base 15\nAnswer: 262710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1132250?\nAnswer: -1132245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2242561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 499 + 73. Let c = 108 - z. Is 21 a factor of c\/(-5)*(0 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 73. Suppose z = q + f, q - 3*f + 24 = 6*q. Solve -3 = -3*g + q*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -5 - 0 - -3) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*n + 63 = -369*n - 45. Solve 33*o = -n*y + 34*o, 2*y + 2*o = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282706.9ms to microseconds.\nAnswer: 282706900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 - 59*n**2 - 130*n - 41. What is v(-3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2, -2 = 5*r - z - 0. Suppose -4 = 2*f, -3*l + r = -f - 17. Suppose 2*p + t - 9 = 0, 2*t + l = p - 2. Which is greater: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 70 = 5*t, -1265*v + 1264*v + 70 = -5*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 6412400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2076 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 371665953*x**4 + 732653*x**2 - 2*x - 7 wrt x.\nAnswer: 8919982872*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 24 = -3*f + 5*b, 3*b = 4*f - 21. Differentiate 0*z**f + 1 + 0 + 3*z**3 wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -660625 and 5.\nAnswer: -3303125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12213007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -600686, -1201351, -1802016, -2402681?\nAnswer: -3003346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 - 5*z**2 + 3*z - 3. Let l = 10 + -7. Let q(k) = -2*k**3 - l - 2*k + 5 + 3*k**2 + 4*k**3. Suppose -20*x = -11*x + 45. What is x*q(i) - 3*d(i)?\nAnswer: 2*i**3 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*z - 640*z - 7942 = -207*z for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssa when three letters picked without replacement from {a: 2, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 125 = 5*y. Suppose -2*b = f - y, 2*b - 67 = -4*f + f. Solve 1 = -4*l + f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/180 - -713\/1260. Let h = -0.3 - 0.7. Which is the closest to h? (a) -1\/7 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/40)\/(5\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444561 (base 7) to base 8.\nAnswer: 231234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20522778 divided by 353841?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39717.\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, y: 14}. What is prob of sequence ya?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. Suppose -s = -4*x, x = -3*i - 4*x + 20. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m. Suppose -12 = -x - 3*x. Let v(s) = -9*s**2 - 3*s + 8. Let t(n) = x*j(n) + v(n). What is the first derivative of t(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 1)*(0 + 4 - 3) - 1 + 3 + 0)*(4*f + 2 - 2)*((0 + 6 - 3)*(3 - 1 - 1) - 5 + 4 - 1 + (3 + 1 - 1)*(-4 + 4 - 3)).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009331 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, 229, 663, 1271, 2053, 3009, 4139?\n\"Answer: 87*z**2 - z - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (18 - (46 + -36)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -25*o**3 + 21*o**2 - 10*o - 53. Let d(w) = -51*w**3 + 35*w**2 - 17*w - 107. Determine 3*d(c) - 5*h(c).\nAnswer: -28*c**3 - c - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3 + 145*o - 18*o**2 - 2*o**3 - 116*o - 1. Does 8 divide w(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1599 - 554 + 2755 + 1784)*(5*z**5 + 3*z**5 + 15 - 7*z**5).\nAnswer: 5584*z**5 + 83760","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 6:40 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:52 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 12 + 15*h**2 + 27 - 10.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.6 * 30821.\nAnswer: -2576635.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -559641 divided by 101\nAnswer: -5541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -315*h**3 + 9*h**2 + 29*h + 25. List the prime factors of j(-3).\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 5*w + 8*w - 14*w + 0*w + 929 to y*w + x and give x.\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 6*j + 11. List the prime factors of g(-9).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + (sqrt(152) - (sqrt(152) - -1*sqrt(152)*-4))\/(sqrt(72)\/(sqrt(54)\/sqrt(6)))*-3 + -3)**2.\nAnswer: 144*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(9\/(-23)))\/(33\/495*5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5087 = -10795. Suppose 0 = -3*u + x + 1508. List the prime factors of u.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1445 and 935?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8418177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1 + sqrt(76))*-5)**2.\nAnswer: 400*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3 + 2*n)*(-189 + 298 + 388).\nAnswer: 994*n - 1491","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 5*z - 5. Let r be o(5). Suppose 384 = 4*x + r. What are the prime factors of x\/3 - 1\/3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -893*y - 176*y**2 + 893*y + 179*y**2. Let f(a) = -18*a - 2. Give f(k(d)).\nAnswer: -54*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -15, -68, -175, -354, -623?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20692\/11085*(-3)\/(-14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -875883 (base 10) to base 3.\nAnswer: -1122111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/120 + u**5\/60 + 7*u**3\/6 - 2*u**2. What is the units digit of y(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(1216) + -1)*5 + 0)*2)**2.\nAnswer: 1600*sqrt(19) + 121700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 14*f = 206. What is the remainder when f is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 20\/41, -3?\nAnswer: 20\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let l(j) = -17*j**2 + 51*j. Suppose -2*v - 5*v = -7. Let s(z) = v*l(z) - 34*i(z). What is the second derivative of s(d) wrt d?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 2*n + 7\/2*n**2 + 0 + 1\/6*n**3. Calculate b(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000 (base 2) in base 9?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101589 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 785084 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: Expand ((2*k - 3*k + 2*k)*(1 - 5 + 5) - 6*k - 2*k + 0*k)*(2*k**2 - 2*k**2 - k**2).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16\/(-88) + (-1128)\/(-33) is divided by 2\/(-4) - 25\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:59 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36248\/45 in -2\/3, -42, 1\/4?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + p**3 + 5*p**2 + 2 - p**3 + p**3 + 3*p. Let h be d(-3). Let t(z) = z + 5. Let u be t(0). Solve -6*r + 2*r = -h*c + 16, -4*c = -u*r - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 - 2*a**2 + 5*a**3 + 13*a**3 - 17*a**3 - 418 as t + z*a + u*a**2 + v*a**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-9))\/1 + 2\/1. Let p = -1\/12 + -2\/3. Which is the second smallest value? (a) p (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/40 and 133\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/36 and (-2)\/4 + 68\/112.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 a when four letters picked without replacement from {x: 10, u: 3, a: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-14 - -42) - 32?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-16))\/(((-3)\/4)\/((-6)\/(-4)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - 3*l**2 + 2*l + 2. Suppose -14*v = -2*v + 12. Calculate the smallest common multiple of 7 + 15 - (-1 + v) and c(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666 (base 7) to base 10.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 8, -5, -34, -85, -164?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278171270?\nAnswer: 2, 5, 13, 67, 109, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -1016*v**3 + 1339*v**2\/2 + 4425. Find the second derivative of l(t) wrt t.\nAnswer: -6096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 179, 195, 211, 227, 243?\n\"Answer: 16*r + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 - 246.2. Let g = 197 + -194. Which is the closest to 31? (a) -3\/4 (b) g (c) v (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 0.2, 1, -3, -362?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n + 1. Let g(j) = -j**2 - 14*j + 3. Let b(x) = -2*g(x) + 5*h(x). Does 7 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*((-17)\/(-56))\/(-1). Let q = l - -5\/8. Which is the smallest value? (a) -2 (b) -3\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 36*o - 575. Give s(-4).\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1011*m - 318867. Calculate a(317).\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2878166654 minus -1023.5?\nAnswer: -2878165630.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 41, 56, 73, 92?\n\"Answer: r**2 + 10*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 604. Suppose 0 = n + 4*n + z. Calculate the common denominator of 67\/6 and (-6)\/(-4)*(-258)\/n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 - (2 - 3). Let t be a\/(-2 + (-21)\/(-9)). Is t - 2 - -1 - -30 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*l - 4, 5*l + 6 = -n - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4*c - 20, 3*k = -2*c + 5*k + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 4*w - w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = h - 4*z, 3*h + 67 + 33 = -4*z. Let f = h - -56. Calculate the greatest common factor of 224 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/9)\/((-3)\/(-18)). Let n be (-2)\/h - (-63)\/35. Factor -3*q**4 + n*q**2 - 2*q**2 + 3 + 6*q**3 - 6*q.\nAnswer: -3*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4\/5 + 18*h**3\/5 + 81*h**2 - 876*h\/5 - 252 = 0. Calculate h.\nAnswer: -10, -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-6) + 2)*3 + 4. Suppose 2*x + 0*x = -2*c + 6, y*c - 2*x = 6. What is t in 12\/5*t**2 - 24\/5*t + 16\/5 - 2\/5*t**c = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.03 + 15. Let t = 17 + -16.9. What is the second smallest value in l, t, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10862375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 2 - (-5 - 3\/(-3)). Solve 4*v + 40 = -o*g, -4*g - 5 = g - 3*v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/40 and 27\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 108478.\nAnswer: 3\/108478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let j be 496\/14 - (-3 + 85\/35). Let v be ((-5)\/20)\/((-3)\/j). Let p(i) = 525 + v*i - 525. What is p(s(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002206352 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 5*v**2 + 38*v + 88. What is g(10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140002087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 24*h = 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*v - 426 = 446, -2*v = -5*h + 1460. What is the remainder when 312 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + -1 + -5 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 9*y - 467 = -2*l, l + 3*y = 221. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 - 1. Let r(d) = 1 - 293*d**2 + 294*d**2 - 1. What is r(n(h))?\nAnswer: 64*h**4 - 16*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 74*k**2 + 142*k + 29. Determine w(-35).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f + 1165. Is k(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122006 divided by -322.\nAnswer: -61003\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = -2*d - 6*d + 493. Solve 3*m + d*m = -20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7034*m**3 + 3 - 3*m - 7*m**2 - 7030*m**3 + 1. Let t = -8 + 4. Let y be q(t). What is y rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9744 greater than 9744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 8282769?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 9*t - 4*t. Calculate the highest common divisor of t and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1746?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*u - 7. Let z(j) = j**3 + j**2 - 2*j. Suppose -y + 1 = -2. Let o(m) = 6*m**3 - 3*m + 3*m**2 - 3*m - y*m**3. Calculate u*o(a) + 8*z(a).\nAnswer: -a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 0. Let f = 50185 + -12185. Suppose 2*w + 0*w - f = n. What is w rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 - 238*r + 392. Give z(78).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/26*-1*-2. Let z = -1.8 - -0.8. Let h = 1.5 + z. Which is the nearest to d? (a) 2\/5 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2) - 1)*(-64)\/(-224).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 7*a - 4*g + 5 = 0, -4*a + 4*g = 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j + 8, -4*n + 32 = 2*j. Let a(w) = w**3 - 9*w**2 - 13*w + 1. What is a(n)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 6:42 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 q, and 2 j when four letters picked without replacement from jodoodqpjqjj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-384)\/(-336)*(-501)\/(-24)?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-312)\/(-30) - (6 - 2). Let r = 6 - b. Let z be 1\/(4\/12*3). What is the closest to r in z, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 + 1 + 2. Suppose 4*c + 0 = -l*w + 8, -4*w + 31 = 3*c. Suppose -115*x + 20 = -114*x. What is the highest common factor of x and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3 - 2. Let o be (0 + -2 - j)*-5. Suppose -2*y - y = 5*t - 221, -o*y + 389 = -2*t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-5)\/2)*15. Let x be (6\/(-4))\/(w\/8). What is the derivative of x*s**2 + 5 + 12 - 7 - 10*s**2 wrt s?\nAnswer: -16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - (-336)\/(-40) - (-10594)\/10. Let r = -583 + h. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 + 1.4. Let n = 1.7 + p. Sort 1, n, 0.3 in ascending order.\nAnswer: 0.3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 18*v + 34. Let j be (-3)\/(-18)*-3 + (-33)\/(-2). Let a be y(j). Are a and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2378, 3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*-2*(-15)\/35?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 19. Let a = 32 + d. Let b = -2 - -20. Calculate the highest common factor of a and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 273643819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27717909?\nAnswer: 3, 9239303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = -1. What is the remainder when ((-168)\/16 + r)*20\/(-6) is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42387977 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4375478 + 6250101. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 214 = 2*m, -3*p - 51 = -2*p + 3*m. Let j = p + 3. Let b = 128 + j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -36.65 (b) -0.3 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-225362)\/(300\/(-250)*5\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 - 5) - (-7 - 5\/5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -597.517.\nAnswer: 239.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -92, -33, 102, 325, 648, 1083?\nAnswer: 1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55331\/46 less than or equal to 1202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3979830*s**4 + 3483264*s wrt s.\nAnswer: 47757960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 10621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-24)\/s**(-1\/7)*(s*s\/s**(-23)*s)\/s**(-15) assuming s is positive.\nAnswer: s**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 15. Let j = 1 + u. Suppose -4*x = -99 + 79. What is the closest to 0.1 in j, x, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 + 2 - 2 + 0*r**4 + r**4 + 0*r**4 + 2*r**4 + 3*r**3 - 3*r**3 + (-2 - 2*r + 2)*(-5*r - r**3 + 5*r) + (2*r**2 + 3 - 3)*(7*r**2 - 2*r**2 - r**2).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**5\/5 + 5*k**3\/3 - 4*k - 104. Determine h so that v(h) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*g - 16 + 6 = 0, -4*g = 4*r + 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**4 + 10*g**3 + 6*g**2 + 9*g + 1. Let s(x) = x**4 + 2*x**3 - x - 1. Let m(c) = -f(c) + 7*s(c). Factor m(i).\nAnswer: 2*(i - 2)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/66 and 123\/154?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*w = 1873 + 717 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 12481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5318578 nanograms?\nAnswer: 0.0000000000000005318578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/2 + 8*m**3\/3 + 3*m**2 - 4. Solve y(x) = 0 for x.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*o - 20, -2*o = -5*c + 6*c + 5. Sort 6, c, 0.\nAnswer: c, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, n: 3, m: 2, f: 2}. Give prob of picking 2 m.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 374792940?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90209, -180392, -270517, -360554, -450473, -540244?\n\"Answer: 5*m**3 - m**2 - 90215*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2037)\/291)\/((-1)\/2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.9 + -16. Let q = 0.7 - j. What is the third smallest value in q, -0.06, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2005, 2020, 2033, 2044?\n\"Answer: -j**2 + 18*j + 1988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/3 - (-260)\/156 - 2\/6. Let m = 1\/15 + -49\/285. Sort 0, -3, v, m in descending order.\nAnswer: 0, m, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 723 + 2998 = 0. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + 0 + 19 + -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -1\/2 (c) 77\/120 (d) -2\/7 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.838 + -0.3.\nAnswer: 2.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1 = z - 16, -4*y - 2*z + 18 = 0. Let d be (-13885)\/(-35) + y\/7. Is d\/3 - 6\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.011998 and -0.1.\nAnswer: -0.111998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrzjfjjrjrjz. What is prob of sequence jz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 644781 by -148.\nAnswer: -644781\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 6193 and -798.118943.\nAnswer: 5394.881057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8378722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*s**2 + 140*s + 38*s**2 + 11 + 7 + 39*s**2 - 137*s wrt s.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k. Let x be (-2)\/(-1) + (4 - 3). Give g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 4. Suppose 2*c = -2, k + 5*c = -d*k + 5. Solve k = 2*l + 6, 2*l = -2*f + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from ggggdogdbog.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 437585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -44, -1\/6049, -0.5, -26 in decreasing order.\nAnswer: 0.5, -1\/6049, -0.5, -26, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/947?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/8)\/(74\/(-296))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*z + 175 = -5*m - 105, -7*z = -8*z + 56 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:42 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 5:23 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3076*g**3 - 6016*g**3 - 8558*g**3.\nAnswer: -11498*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/3 - 5*w + 6. Let c(t) = -5141 - 13*t + 5141. Give c(i(v)).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 15*g - 6 = 0. Put 5, 3, g in ascending order.\nAnswer: 3, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 11\/94129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/((-170)\/530) - (-4)\/34?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -3*n + 11, 3*n = -4*a + 1. What is the derivative of 5*y**3 - 4*y**3 - 2 + y**4 - y**n wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/7558 or 0?\nAnswer: -35\/7558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by -317\nAnswer: -89\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 + 2100*j**2 + 25632*j + 77328 = 0. What is j?\nAnswer: -6, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2059\/(-29)*((-9)\/3)\/(6*(-14)\/28)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 + 5*s**2 - 2*s**4 - 4*s**2 + 0*s**2 + 2*s**3 in the form z + r*s + b*s**3 + m*s**4 + q*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 28. Suppose -d*c + 0*c = -12. Solve -1 = r + c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 3 + 0 - 3 + 0 + 2 - 2 - 1 + (-2 + 2 + 1)*(-1 + 2 - 2))*(-2*d**5 - d**2 + d**2).\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(475) - ((sqrt(475) - (sqrt(475) + 2)) + -1))*-4)**2 - (5*sqrt(475)*-2 + sqrt(475) - (sqrt(475) + (-1 + sqrt(475))*2))) + -4.\nAnswer: 540*sqrt(19) + 7738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2829766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*h**3*j*y + h**3*j - 4*h**3*y - 4*h**2 - h*j*y - 47*h*j + h*y - j*y + 22*y wrt h?\nAnswer: 66*h*j*y + 6*h*j - 24*h*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/10 - 9\/(-2). Suppose -c + j*c = 20. Suppose 0 = g - 2*g + c. Calculate the smallest common multiple of g and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0577 and -0.072?\nAnswer: -0.0041544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 163, 2, -28 in decreasing order.\nAnswer: 163, 7, 2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 161588 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4046052 (base 11) to base 8.\nAnswer: -33222323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 51 - 28*u**2 + 103 - 33*u**2 to the form z*u**2 + i*u + q and give z.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1390 divided by 10\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5\/7 + 116*t**4\/7 - 738*t**3\/7 + 748*t**2\/7 - 121*t\/7 = 0. What is t?\nAnswer: 0, 1\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 406, 991, 1958, 3499, 5806, 9071, 13486?\n\"Answer: 32*t**3 - t**2 + 364*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**2 - 6450955*y - 12901890 = 0.\nAnswer: -1290189, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7ac3 + -68?\nAnswer: 7a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 2436*o + 2433.\nAnswer: 3*(o + 1)*(o + 811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12528\/(-25578))\/(15\/280)?\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -242 - -242.082. Let u = 0.15 - 0.105. Let i = u - a. Round i to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2394\/13 + 184. Let q(y) = y**3 + 7*y**2 + 9*y. Let i be q(-5). Which is the nearest to -2\/7? (a) -0.8 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 at most -3030.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 6:06 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4\/5, -82 in descending order.\nAnswer: 4\/5, -12, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6207971 to one dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-131 + 5 - 22 - 13)*(-3*j + 0*j - 1 - 7*j) as v*j + d and give v.\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*m**6 - 5*m**3 + 4*m**2 + 1237*m - 2 wrt m.\nAnswer: 17040*m**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03222328 - -0.1.\nAnswer: 0.06777672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/4960 and -58\/5.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-49) + (-2)\/14. Let l(v) = 21 + 4*v**2 - v**3 + i*v + v - 34. Let k be l(3). Put 0, k, 2, 1 in increasing order.\nAnswer: k, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -20054015327593.\nAnswer: 20054015327593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 12369.592 to the nearest ten.\nAnswer: 12370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*z - s, -z - 5 = 2*s - 0*s. Let b(w) = 6*w - 6. Let h be b(z). Let o = h + -6. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-3)*2\/4. Let k be (5607\/35)\/((-4)\/(-20)). Suppose f = -12*u + 267 + k. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -30, -13, 10, 39?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mllklkfmllmjlflmmk. Give prob of picking 1 k, 1 f, and 1 l.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12170560 is divided by 1991?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/72 - (-39)\/104?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 5*z + 5 + 2 - 3 - 6*z**2. Let p be l(5). Suppose i + 17 = p*m, -4*i + 7 = 2*m - 5*i. Solve -22 = -a - m*t, 4*a - 2*t = 2*t - 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -578*i**4\/3 + 111248*i**3\/3 - 5379104*i**2\/3 + 837632*i - 98304.\nAnswer: -2*(i - 96)**2*(17*i - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5*v + 1 - 2, -3*v - 47 = -5*c. Let o be 2 + (-9)\/6 + 2\/4. Solve -2*n + c + o = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 870.3877 minutes?\nAnswer: 52223262000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 - (5 - (9 + -3 + (10 - 5)))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 494579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14*(-2 + 10\/4). What is the closest to 0.2 in -4, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -18*y + 16*y. Suppose -y*d + 7365 = -d. Let w = -890 + d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-6)\/(-108))\/((-2)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381700.\nAnswer: 2, 5, 41, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 4694 = -179246. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202502, 30, -1, 2, -5.\nAnswer: -202502, -5, -1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -5978.\nAnswer: 1\/2989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*h**3*u - 10*h**3 + 4*u - 1 with respect to h.\nAnswer: 21*h**2*u - 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18281*m + 24833 + 398874 = 41305 - 257433 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4 - 3095*d**3 + 46167*d**2 + 101623*d + 52360 = 0?\nAnswer: -1, 17, 3080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(567))**2 - (sqrt(567)*1 + 1).\nAnswer: -1167 - 153*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/16)*r*(r\/(r*r**(-2)))\/r*(r**(-1\/3)*r)**32)\/(r*r\/(r*r**(-2\/13)*r)*r\/r**8)**(-1\/3) assuming r is positive.\nAnswer: r**(13175\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/35595 and -19\/105?\nAnswer: 35595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*p = -0*x - 17037, 2*p = -x + 5677. List the prime factors of x.\nAnswer: 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 555.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, w: 3, d: 7}. What is prob of sequence dc?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 198889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -78173684 divided by 6?\nAnswer: -39086842\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312 - 151) + (-29 - (13 + -9)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*(sqrt(84) + (sqrt(84) - (sqrt(84) - sqrt(84)*-2))))\/sqrt(12)*-3 - sqrt(504)\/(sqrt(288) + -2*sqrt(288)))**2 + -5.\nAnswer: -3559\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 1.394\nAnswer: -27.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 9*l - 5. Suppose 0*q - 2*q + 14 = 0. Let o be i(q). Let z = 19 + -1. Calculate the greatest common factor of z and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-10)*1\/(7\/4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -0.5 (c) -0.4 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 540913636 divided by 4\nAnswer: 135228409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 0*a**2 + 2*a**2)*(2*a - 3 + 3) - 3*a**3 + 2*a**3 + 0*a**3 + 3*a**3 + 2*a - 5*a - 5*a**3.\nAnswer: -7*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/24701 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 284 times 1949\nAnswer: 553516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-30))\/((-3)\/(-15)). Let d = 20 - 34. Let h be (6\/d)\/((-8)\/(-14)). Which is the closest to -1? (a) -0.3 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/4)*p)**(-25\/2))**(-49) assuming p is positive.\nAnswer: p**(8575\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/((12\/(-5))\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/5 + 526699*u\/5 - 1053394\/5 = 0. Calculate u.\nAnswer: 2, 526697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -24*t + 30. Let s be f(1). Calculate the highest common factor of s and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 36*p**2 + 20*p - 51*p**2 + 17*p + 22 - 50*p to b*p**2 + r*p + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)\/t)**30\/((t\/((t*t**1)\/t)*t)\/t)**(-6))\/(t**(1\/7)*(t\/(t*t**(-2)))\/t*t**(-2\/7)*t\/((t\/t**(1\/10))\/t)) assuming t is positive.\nAnswer: t**(-3637\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -44*q**3 - 3*q**2 + 14*q - 18. Let c(a) = 29*a**3 + 2*a**2 - 10*a + 13. What is 7*c(j) + 5*v(j)?\nAnswer: -17*j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014136126 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -56.003. Round c to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 215954?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 x when three letters picked without replacement from {x: 3, d: 4, o: 1, r: 1, g: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**16*f)\/(f*f*((f\/(f*(f\/(f**(1\/12)*f*f)*f)\/f))\/f*f)\/f))\/(((f*f**(-10\/3))\/f)\/f*f*f**(-9)\/f*f) assuming f is positive.\nAnswer: f**(109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**9\/1008 + y**6\/36 + y**3 - 2*y**2. Let s(t) be the first derivative of i(t). Find the third derivative of s(b) wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-20)*4*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11155 (base 8) to base 16.\nAnswer: -126d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l\/l**(-4)*l)\/l*l))\/l*l)**16*(l**0\/l)**(2\/191) assuming l is positive.\nAnswer: l**(-18338\/191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 950 times 1.6\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 3055848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7680047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 36. Calculate f(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23464, 46943, 70422, 93901, 117380?\n\"Answer: 23479*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55760 and 21035460.\nAnswer: 84141840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67503.\nAnswer: 3, 22501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvffvpf. What is prob of sequence fvv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312469?\nAnswer: 312469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-12) - (-114)\/8. Let z be 4\/m + (-1254)\/(-21). Suppose 0 = -0*o + o + z. Round o to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = -2*y, -5*y - 1 + 5 = 4*w. Let t = 11 - 14. Let b be (18 - -1) + (-2 - t). Solve r + 4*r - b = y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -98 + -1?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1216) - (sqrt(1216) + sqrt(1216)*-2 + -4)**2) + 4 + sqrt(1216) + 1 + 0.\nAnswer: -1227 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59495 >= 59506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3806 and 35\/88?\nAnswer: 15224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 2*y + 1. Let f(c) = 2*c**3 + 59*c**2 + 10*c - 4. Determine f(k) + 4*x(k).\nAnswer: -2*k**3 + 59*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 a factor of 9655048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2795 + 529. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*v + 173*v**3 + 160*v**3 - 502*v**3 + 579*v + 165*v**3.\nAnswer: -4*v**3 + 853*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + f - 5*f = -8, -2*q - 5 = -3*f. Let k = -181 + -44. Let n be (q\/(-5))\/((-9)\/k). Put 2, -2, n in ascending order.\nAnswer: n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3628 = -6*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.112354 and 2.\nAnswer: 0.224708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -755.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - 1002102120002?\nAnswer: -1002102112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497707659 to the nearest integer?\nAnswer: 22309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -0.6.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 = c - 8, 4*b - 29 = -5*c. Suppose b = 3*w - 2. Solve 3 = 4*m - w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -881727 at least as big as -881727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-896)\/(-768))\/((-14)\/(-3)). Which is the second biggest value? (a) 1\/2 (b) -4 (c) f (d) 0.4 (e) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 7*o = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92 - -0.07806?\nAnswer: 0.99806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let u(p) = -338*p - 2. Calculate u(l(i)).\nAnswer: -676*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 + 3*t - 2. Let z be g(1). Let m(h) = h**2 - 28*h - 119. Let o be m(32). Let p(f) = z*f**2 + o*f + 0*f - 13*f. Let w(r) = -r. What is w(p(i))?\nAnswer: -6*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 46897571?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(2*30\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 20*l + 35. Let j be v(-8). Let t = j + 127. Solve 0 = -t*x + 10, b + x = 6*x - 29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2803670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (780\/273 + 6536\/(-2660))\/(-1*(-4)\/(-490)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.004 + 0.064. Let t = -5.068 + b. Sort t, -3\/5, 4, 2.\nAnswer: t, -3\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/738*12 - 720\/(-369)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 + 176. Suppose -g + 54 = 3*u. Calculate the least common multiple of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18671763 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 1. Let y be j(-1). Let h be 4\/(-17 - -9)*(-19 - -1). Let g be (-45)\/(-10)*4\/h. Put 0, y, -1, g in descending order.\nAnswer: y, g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 152727166?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 40\/583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21258.7 + 21259. Which is the closest to -1? (a) 0.4 (b) 0 (c) z (d) -2\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -69909782.\nAnswer: -69909781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a + 188. Let v be c(-23). Let y = 269 - v. Calculate the remainder when 45 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 21*g**2 + 27*g + 4. Determine f(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8992036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 996000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17269 and 3735038.\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2, 7, 0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 2, n: 1, e: 3, h: 4}. What is prob of sequence en?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21478 = 1330*d - 3792 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 2*a + 0*a - 10 - 11.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 3*a**2 - 2*a - 1. Let y = -8 + 6. Let o be f(y). Let q be (o\/(-1))\/((-7)\/140). Calculate the greatest common factor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 119450\nAnswer: 3\/59725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 15*g + 31. Let m be w(16). Suppose -5 - m = -2*z. Solve -v - z = -4*n, -v + 2 + 4 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/8)\/(2\/30). Let r = o + 19. Solve m - 1 = -3*v, -v - 3*v = -4*m + r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*n + 13, 2*v + 16 = -2*n + 6. Let u be (2\/n)\/(-4*3\/72). Suppose -14*d**3 + 42*d**3 - 56*d**u + 0*d**4 + 12*d + 16*d**4 = 0. What is d?\nAnswer: -3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**6\/120 + r**5\/60 - r**4\/72 - r**3 - 7*r. Let p(l) be the second derivative of h(l). Find d such that p(d) = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 101, -1\/7, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2839525.\nAnswer: -8518575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 80. Find c, given that 8*c**3 - 5*c**4 - 6*c**x + 12*c**4 + 16*c**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 976*j - 975*j - 2 - 5*j**3 - 11*j**3 + 3*j**2 - j**4 to the form w*j + x*j**3 + o*j**2 + s*j**4 + a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-255*o - 130*o - 491*o)*(0*o - o - o) as a*o + d + y*o**2 and give y.\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/26 and -4*(-12)\/(-288)*(-474)\/(-52).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131\/4 at least as big as 533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-3)\/n*n))\/n**(-2\/13))\/((n\/n**(-1\/3))\/(n*n*n\/(n*n*n**5)*n)) assuming n is positive.\nAnswer: n**(32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -12. Let q(a) be the third derivative of 2*a**i - 1\/24*a**4 + 7\/6*a**3 + 0*a + 0. Calculate q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10*(-12)\/480)\/((-5)\/920)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2 - -2 - (258 - 260).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*k**2 + 56*k**2 + 43*k**2.\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + -2*sqrt(275) + (sqrt(275)*3)**2 + -2.\nAnswer: -10*sqrt(11) + 2480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 3 + 2*f - 1\/3*f**3 + 0*f**2. Find the first derivative of b(z) wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 + 512016*i\/11 + 32770048032\/11.\nAnswer: 2*(i + 128004)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 5*w**3)*(-2 + 3 + 0) + (-w + w - 3*w)*(2*w**2 + 2*w - 2*w).\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c - 58*c**2 + 38*c**2 + 3*c wrt c.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3195070201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 12) + -2 + (-7 - (-12 + 11)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(136) + 3*sqrt(136))*3 - 2*sqrt(136)*1)\/(sqrt(1152) - (sqrt(1152) + 6*(sqrt(1152) + sqrt(1152)*2) + sqrt(1152)) - -1*sqrt(1152)*-1))**2.\nAnswer: -17\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let a(t) = -354 - 4*t + 729 - 370. What is a(n) + 6*v(n)?\nAnswer: 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f + 6 = 28*f. Is f greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -1083, -1590, -2085, -2568, -3039?\nAnswer: -3498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.66 + -0.46. Let d = 63\/53 - 547\/371. What is the third smallest value in d, 0.1, t, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19851 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 897 = -3. Let b = 90 - p. Which is smaller: b or 138?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15232474771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27499 is divided by 1140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 0, -372*b - 4*x = -374*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6*p**3 - 8*p**2 + 8*p**2 - 2*p**4 - 3*p**3 to c*p**4 + a + y*p**2 + m*p + l*p**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-4) - 322\/(-168) - (-7 - -10). Let m = 1.1 - 0.1. Which is the nearest to f? (a) m (b) 1\/26 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 387 + -165. Let m be (678\/8)\/(5 - r\/48). Let q = m - 148. What are the prime factors of q?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 10*w. Suppose -3*c + 5*z = 10, 4*c - 5*z + 6 = -2*z. Suppose c = -p - 0 + 8. Is l(p) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fppffppfpfppppfpffff. What is prob of sequence ffpf?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 + -11)\/(13*1\/(-2)). Let 0 + 2\/13*f - b*f**2 + 2\/13*f**3 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1331440 - 0?\nAnswer: -1331440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577248747 to the power of 1\/3, to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 10:14 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 18. Let d = 6314\/9 + -702. Which is the nearest to 8? (a) u (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3334, 3335, 3336, 3337, 3338, 3339?\nAnswer: 3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 30*g\/7 + 4.\nAnswer: 2*(g + 1)*(g + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -1, 23\/8, -0.09?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*i, -4*x - x + i = 3*x - 1475. Suppose -5*b - 212 = -4*v, 0*v - 2*v + b = -100. Calculate the remainder when x is divided by v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5.2, -1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -15, a - 86*i = -84*i - 16 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7327736, 7327737, 7327738, 7327739, 7327740?\nAnswer: 7327741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1821 + 21?\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 1971.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*b - 16, -2*g + 2*b = g + 9. Let a be (-6)\/8*g\/3. Is a < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3085*k*r**3 - 4007476*k + r**4 + 325*r**2 wrt r.\nAnswer: 9255*k*r**2 + 4*r**3 + 650*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 2037419085 to the power of 1\/3, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1587, 1574, 1549, 1506, 1439?\nAnswer: 1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 14) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6095 at least as big as 6095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 7*m + 5. Let s(u) = u**2 + 3*u + 2. Let w(q) = -4*o(q) + 7*s(q). Give w(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1667341 (base 10) in base 12?\nAnswer: -684a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 + 5. What is the second smallest value in 2\/15, -1, u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844.1363 meters to micrometers.\nAnswer: 844136300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 21. Suppose 2*c - 5*c - v = 10, -2*c = 2*v + d. What is the nearest to 2\/7 in -0.5, c, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.4, -165 in descending order.\nAnswer: 0.4, -0.3, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4786642 to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.261 + 0.26. Round k to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**3 - 3*w**2\/2 - 36*w - 309. Let h be r(4). Let m = 7.06 + -7. What is the biggest value in -4, 2, h, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 172755263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 + 136. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f*f**(-1\/2)*f)\/f*f**(2\/33)*f**(-10)*f**(-2\/3) assuming f is positive.\nAnswer: f**(-601\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3302603 (base 7) in base 13?\nAnswer: -11207c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 405*u - 439*u + 102. Suppose 2*r - 66 = -0*r. What is the greatest common factor of u and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/903 and -1\/3?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = 5*s - 28*s + 9*s + 4*a + 28, -s - 13*a - 73 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38295? (a) 0.4 (b) -1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, -1.18, -5 in increasing order.\nAnswer: -5, -1.18, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 plus -1286?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:23 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u - w + 31 = 0, 5*u + 4*w - 61 = 0. Let s be (-407)\/(-9) - 2\/u. Suppose 5*d + 12 = -4*y + 77, -5*d = 3*y - s. Solve -k - y = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -174 in -38, 4, 2\/3?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (5 + (-5 - 2))) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4422 is divided by 441.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -739*y + 740*y + 5*t - 6*t + 3, -y = 4*t + 18 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.86 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {q: 2, x: 1, y: 10, a: 6, e: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 93 = 4*q, 4*q = -s - 325 + 372 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008 = 32*r - 155*r - 21*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -14 (c) 0.02 (d) -12 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (4*sqrt(208))**2 - (4 + 2*sqrt(13)) - (sqrt(52)\/sqrt(16) - (sqrt(52)\/sqrt(4) + sqrt(13) + 4)).\nAnswer: sqrt(13)\/2 + 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19235 + 32*n + 19235.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*g)**(-1))**(-2\/15)\/((g**(2\/3)\/g*g)**(-2\/17))**(-2\/33) assuming g is positive.\nAnswer: g**(-8\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*s + 3 - 6 = 0, -4*v + 4*s - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfxxxqsxs. What is prob of picking 1 q and 1 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 10050628.\nAnswer: 110556908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -7, -1, -97 in descending order.\nAnswer: 5, 4, -1, -7, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18906 - 18902. What is the highest common divisor of s and 766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 42.9. Let t = 0.3 + 0. Let u = t - 0.1. Which is the closest to g? (a) 5 (b) u (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -16655*f**4\/24 - 2*f**2 - 1148*f + 1. Let u(t) = t. What is u(q(g))?\nAnswer: -16655*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 300668 - -21?\nAnswer: 300700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 68 + 422 = 0. Let w = 172 + r. What is the highest common factor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v - 15 - 25 + 41 as d + j*v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -62481 and 2087315.\nAnswer: 2024834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l. Let p be x(4). Suppose i - p = -3*i. Solve -5*t = -5*v + 25, -5*v - 20 = -i*t + 7*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 3 (c) -1 (d) 416 (e) 0.5 (f) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 2*b + 9. Let k be n(-3). Is ((-32)\/(-3))\/8*k + 2463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -9, -9*z + 10 = 5*o - 4*z. Let w be o\/(-78) + 4\/(-24). Put 0.3, -2, w in ascending order.\nAnswer: -2, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9359 is divided by 785.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*d**4 + 3*d**2 - 780*d**4 - 18*d**2 - 15*d**2 - d**2 + 2*d wrt d.\nAnswer: -19128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + p + p + 2*p**3 - 17*p**3 as r*p**2 + s*p**3 + b + x*p and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i - 34*i**3 - 496*i**2 - 2 + 498*i**2 + 6*i as m*i + k*i**3 + l + c*i**2 and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/290160 and -193\/1644240?\nAnswer: 4932720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((72\/(-20))\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, -2, -4\/21, 157.2?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184960223 - -184960399.99999715. Let o = g + -177. Round o to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/12 + 5*u**3\/6 - 3*u**2\/2 + u. Let k be z(2). Suppose k*r - 5*r = 0. Which is greater: 2\/7 or r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 38*c - 377. Let l be k(-7). Let v(j) = 15*j + 5 + 34 - 7 + j**2. Let s be v(l). What is the highest common factor of s and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -627*m**2 - 783*m - 156.\nAnswer: -3*(m + 1)*(209*m + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 - 273. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -5, -6359, 2 in decreasing order.\nAnswer: 6, 3, 2, -5, -6359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*d**3 + 4209*d**2 + 10824*d - 5004.\nAnswer: 3*(d + 3)*(d + 278)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380500 rounded to the nearest ten thousand?\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.49893088 rounded to one dp?\nAnswer: -24.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24242 to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -65?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12.2? (a) 3 (b) 0 (c) -289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*o + 23 = 0, -5*u + 66 = 2*o - 6*o. What is the remainder when 53 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c. Let v = -1891 + 1901. Suppose o + 6 - v = c. Solve -5*i = 5*x - 15, -2*i + i + 12 = o*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28017*f**3 + f**2 + 6*f + 17275.\nAnswer: -168102*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4003 + 4338.9. Round a to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -2, 14, -29, -3, 0, 3 in decreasing order.\nAnswer: 14, 3, 0, -2, -3, -29, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*n + 3 = 25, 4*k - 3*n = 49. Let c(u) = 8*u - 1. Let d be c(1). Let t = k - d. Solve 2*q - t*q = 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1)\/2 - (-112)\/28. Let p be u + (-235)\/45 + (-1244)\/(-9). Calculate the highest common divisor of p and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -52 - 73. Let a(h) = 0 + 7 - 5*h + 8*h**2 + z*h. Is a(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -1 + (-52)\/(-1 + -1). Let x be (-24)\/(-32)*h\/(-63). Is x < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 46*t - 69. Is g(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 883*y**2 - y + 70.\nAnswer: 1766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/90*-4)\/(-7 + (-296)\/(-36)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 11*x**2 - 12*x + 12. Let r be d(-11). Calculate the greatest common factor of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22627769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -916621, -916647, -916673, -916699, -916725, -916751?\nAnswer: -916777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*q = 21, 28*q + 10 = -5*i + 25*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:57 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 7*a + 23 = -2*a, 5*l = -3*a + 25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4\/3, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1216.7 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17016 and 6297338?\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s - 45 = -75*s. Solve -s*p + 0*p = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 147. Give g(-37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9 + 1 - 4 + 4*j - 3*j. Let q be d(-3). Solve q*z - 14 = -5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*g - 4. Suppose -18 = -3*q - 6*q. What is the lowest common multiple of g and 19\/q - 15\/(-30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 9. Suppose 0 = -3*f + 9 + 36. Suppose -55 = 5*l - f. Determine o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -49. Is (-141960)\/(-117) - (y\/(-6) + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -11123?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {q: 2, z: 2, g: 4, b: 1, i: 2, u: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjggj. What is prob of sequence gjg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 376, 1153, 2666, 5161, 8884, 14081, 20998?\nAnswer: 29881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809.1741 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 + ((-1884)\/32)\/3 + 12\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1) - (-3)\/(-7). Let y = 51006 + -459052\/9. What is the third biggest value in o, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 8*o. Suppose 5*u + 30 = 5*n, -3*n + 2*n = -5*u - 38. Let p be k(u). Suppose p = -2*m + 11 + 9. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 109 less than 0.3?\nAnswer: -108.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 611036 + -251218. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 22*v**2 - v - 27. Determine x(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -2*c - 3*m, 5*m - 92 + 314 = 2*c. What are the prime factors of c?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.016 (b) 2\/27 (c) 5\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45477, -45486, -45509, -45552, -45621, -45722?\nAnswer: -45861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1479\/2 + 8081\/11. Find the common denominator of (-289)\/682 + 6\/33 and s.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 + -164.6. Let j = f - 17. What is the closest to -0.2 in j, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1 + (4 - 1 - 4)*(-1 + 5 + 0))*(37*k - 17*k + 32*k) + (-1 + 1 - 1)*(k - 2*k - k) to the form v*k + n and give v.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7786773390.\nAnswer: 2, 3, 5, 11, 59, 399937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 - 13103?\nAnswer: -13202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.1 - 10. Let m = -0.5 + i. Which is the second smallest value? (a) 4 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, 3*u = -2*u + 3*i - 500. Let b = -101 - u. Put b, 3, -4, 5 in ascending order.\nAnswer: -4, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i*i**(1\/12))\/i)*i)\/i**(-11)*i**(-3\/5)\/i*i**(-6) assuming i is positive.\nAnswer: i**(259\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264067201?\nAnswer: 4339, 60859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) + (-15)\/(-10). Suppose -c*l + 7 = -4*u + l, -3*l = -3*u - 9. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2, -96, -7?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((-29 - 4884\/(-165))*(-10)\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = 4*u. Let c(b) = -11 + u - 17*b + 4 - 3*b. What are the prime factors of c(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-162*s**2 - 6 + 158*s**2 + 4*s**3 - 5*s**3).\nAnswer: 2*s**3 + 8*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:06 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 10*u - 2 + 3*u + 3. Let h = 17 - 20. Is j(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1722 - 828. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o + 19*o - 10*o - 1310 + 850 in the form x*o + m and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 39*i + 26. Let r be x(-19). Let f(u) = 3*u - 6. Calculate f(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4388414679.\nAnswer: 3, 11, 1289, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*p - 6*p + 3*p)*((-p + 3*p - 5*p)*(-2 + 3 - 2) + 2*p - 4*p + p) to the form g*p**2 + z*p + w and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 0*b**3 + 3\/2*b**2 - 11\/5*b**5 - 116 + 1\/2*b**4 - 9*b. Find the second derivative of z(q) wrt q.\nAnswer: -132*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -489. Suppose -3*o + a = 3*f - f, 5*f - 135 = -o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 15*o**2 + 6*o**2 - 53 + 10*o**2.\nAnswer: o**2 - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7411?\nAnswer: 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 0\/(-3) + 4. Let l(p) = p**2 + p - 1. Give l(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38, 98, 228, 464, 842, 1398, 2168, 3188?\n\"Answer: 6*h**3 - h**2 + 21*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (357 + 247 - 509)*(-4 + a + 4) - 8*a + 9*a + 5*a.\nAnswer: 101*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 4\/(-10) - (-220)\/50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13 = -4*g, 2*h + 3*h = 3*g - 17. Suppose 0*t = g*t. Let j(f) = 0*f + t*f - 2*f. Let l(r) = 5*r. What is j(l(y))?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + c**3 - 2 - 264*c + 1 + 273*c)*(c + 0*c + c) to the form s + w*c**2 + n*c**4 + y*c + m*c**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -351*o**2 + 5*o + 8. Let g(f) = -89*f**2 + f + 2. Calculate -9*g(k) + 2*u(k).\nAnswer: 99*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 245 + -894.\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -75)*1\/(-3). Suppose 0 = -5*y + v + 19. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqll when four letters picked without replacement from ooqlllld?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.12, -5\/3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10463972?\nAnswer: 2, 97, 149, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1885 = 195*c - 50*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31144*q*y + q - 3017*y + 1 wrt q?\nAnswer: -31144*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -10.4. Let z = f + 0. Suppose 3*o + 0*o = 15. Sort z, -2\/3, o in increasing order.\nAnswer: -2\/3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.910711 kilograms to grams.\nAnswer: 7910.711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -135752 divided by -1\nAnswer: 135752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3363469296?\nAnswer: 2, 3, 11, 6370207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3383 * -0.0043\nAnswer: 14.5469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11613742 to the nearest integer?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k - 22. Let a(t) = -65*t - 285. Let j(v) = -3*a(v) + 40*i(v). List the prime factors of j(-12).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = t - 45, -24 + 69 = -2*l - 5*t. Let x be l\/5 + -3*1. Let r = 33 + -36. Put x, 4, r in decreasing order.\nAnswer: 4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 141, 181, 221?\n\"Answer: 40*u + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (17850\/(-75))\/14 + -9 + 2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9d3749 (base 14) to base 6\nAnswer: -310354101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 4*r**2 + 8*r + 3. What is f(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 50. Suppose 3*j = -2*j - 25. What is the nearest to 1 in -4, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*h + 29, -4*h + 2*k + 19 = k. Suppose -h*d = d - 15. Suppose -d*f + 47 + 67 = 0. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**7\/1260 + o**6\/15 + 12*o**5\/5 + 23*o**4\/24 + 15*o**2. Let d(m) be the second derivative of r(m). Factor d(c).\nAnswer: 2*(c + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 3. Suppose 2*d + 11 = u. Let o be (-2)\/(((-16)\/(-6))\/d). Solve -5*h + 10 = -o*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/24 and 53\/177.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565800*c**4 + 639554*c**3 + 73748*c**2 - 6*c = 0. Calculate c.\nAnswer: -1, -3\/23, 0, 1\/12300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -366892, -3, -5, 5 in ascending order.\nAnswer: -366892, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*h - 12. Suppose 3*j = -5*p + 19, h*j + 2*p - 16 = -0*p. Solve -2*g - 31 = j*i + 2*g, 3*i = 2*g - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*l - 327*l - 374*l = -107*l - 57680 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73999.19 tonnes in kilograms?\nAnswer: 73999190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 3. Let a be b(-3). Let u(y) = -2*y + 31. Let x be u(14). Suppose a = 4*i + 4*t - 480, x*t - 1 = 2. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1377928301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 201172, 201147, 201112, 201061, 200988, 200887, 200752?\n\"Answer: -z**3 + z**2 - 21*z + 201193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 32*v - 5. Let p(b) = -66*b + 11. What is -9*j(n) - 4*p(n)?\nAnswer: -24*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 35 = -b, 0 = -5*a + 3*b + 9 - 24. Let f(t) = -4*t**2 - 14 + t**2 - 12*t + 6*t**2. List the prime factors of f(a).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p**4 + 18 + 0*p + 0*p**5 + 0*p**3 + 14\/3*p**6 + 5*p**2. Find the second derivative of f(o) wrt o.\nAnswer: 560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5193 is divided by 523.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 - 52*n**2 - 116*n - 60 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 29 = -6. Let p(j) = 2*j - 4. What is p(x)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513*f + 1257*f + 185*f + 186*f + 1770*f.\nAnswer: 2885*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/2 + 0)\/1. Let d be ((-3)\/((-6)\/(-8)))\/l. Suppose d*u - 7*u + 6 = 0. Which is greater: 4\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 863907789174.999998634 + -863907787996. Let r = -1179 + z. Round r to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 12*z - 2. Let g be ((-12)\/18)\/((2 + 2)\/12). Determine q(g).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/15)\/((-2)\/(-45)). Suppose -2*h = h - f. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmfwafafmmffaaim. Give prob of sequence mmmw.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527343579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -4. Let a(n) be the third derivative of n**6\/30 + n**4\/8 - n**3\/3 + 4*n**2. Let q be a(1). Solve 2*i - q = f*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 111011000101110 (base 2) to base 15\nAnswer: 8e6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(8\/6*(-1449)\/168).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 14*r**2 + 14*r + 3. Calculate the remainder when 47 is divided by p(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6122.28 + -5645.7. Let w = u + -487. Round w to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 5*m - 2*m)*(821*m + 169*m - 257*m) as f*m + r*m**2 + n and give r.\nAnswer: 2199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (5\/5 + 2). Suppose -1 = -a - w + 2*w, w = d. Let q = 7 - 5. Solve 2*u = -m + q, -2*m - a*u = -3 + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -51*s**2 - 403*s + 20. Calculate y(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -20*c**5\/3 + 4684*c**4 - 180640*c**3 + 7921984*c**2\/3 - 17024000*c + 40710144 = 0.\nAnswer: 8, 12, 3313\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 11:24 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 170*m - 174*m - 64, -m - 20 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -381*c*n**2 + 11782*c + 46*n**2 - 6*n + 50 wrt n?\nAnswer: -762*c*n + 92*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 3764174.\nAnswer: -3764173.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -121060?\nAnswer: 121052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-234)*(-336)\/224.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 21*u + 8. Let w be z(-8). Calculate the lowest common multiple of 2*(-2)\/((-12)\/15) and w\/10 + 4\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*n**3 + 35*n**4 - 4 + 40*n**4 - 74*n**4 - 2*n - 31*n**2 - 5*n**3 in the form l*n**4 + o*n**2 + v + b*n + d*n**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21166 + -18?\nAnswer: -21185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/13 (b) -2\/17 (c) 1 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeoeeeoeeoeeooeoo. Give prob of sequence oe.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30052, -30051, -30050, -30049, -30048?\nAnswer: -30047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 3 + -7 + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -64298 divided by 73?\nAnswer: -64298\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 15*n**2 - 4*n + 105. What is z(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2877.9031 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8.08. Let u = x - 0.07999988. What is u rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/12602 and 27\/6301?\nAnswer: 12602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 - 3*z + 4. Let o be s(2). Suppose -4*n = o*x - 132, -n + 4*x = 2*n - 110. Calculate the greatest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o = 91 - 69 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0, 1838\/7, -4, -0.5, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/12 + u**3 + u**2\/2 - 8*u. Let c be a(6). Solve -2*j + 0*d = -d - c, -j = -d + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2169 and 1?\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6485 + 6484.9979532. Round b to 5 decimal places.\nAnswer: -0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + -2.25. Let b = -2.54 - h. Let p = -0.439993 - b. What is p rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + (11 - 55\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 243?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35*(1\/1 + 0). Suppose 0 = -5*x - 2*d + d + 58, 4*x = 3*d + k. Let l = -123 + 127. Calculate the least common multiple of l and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122556163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -121 or -18092\/149?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-26) - 795\/1365.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*q**3 + 106*q - 106*q + (-1 - 5 + 3)*(2*q**3 - 2*q**3 + q**3) as i + c*q + o*q**2 + k*q**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -103*u**2 - 4*u - 4. Let i be k(-1). Let v = 201\/2 + i. Let n = 2.1 + 0.9. Which is the second smallest value? (a) v (b) n (c) -1\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/31 in 2999, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, 1, 13, 25, 37, 49?\n\"Answer: 12*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 10. Let t be k(-5). Suppose 8*m - 45 - 603 = t. Let i = m + -77. Solve 0*b - 2*b = -i*l, b = 4*l - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -135.5. Sort r, 0, -2\/13 in ascending order.\nAnswer: -2\/13, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -4, 2\/9, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596483*o = -596439*o + 440 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*f**3*z**4 - 3*f**3*z + 81*f**3 + 2*f**2*z**4 + z wrt z?\nAnswer: 972*f**3*z**2 + 24*f**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 - 14 + 8)*(-7 - 2*c**2 - 2 + 4).\nAnswer: 136*c**2 + 340","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9*7\/(-144)*(36\/14)\/(-1)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g. Suppose -3*l = -5*q - 16, q - 99 = -2*l - 84. Let r(s) be the third derivative of 0*s**3 + l*s**2 - 1\/8*s**4 + 0*s + 0. Give -5*m(w) + 6*r(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 9:23 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 1. Is 13 a factor of 3*(-3)\/(s\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by 6.\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118.468 - -119. Let l = 2.4 + -1.9. Let r = w - l. Round r to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 31568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 1:40 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 3*g + 4. Is z(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 310719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -4)*(3 + (-4)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x. Let c = 244 + -13. Let v = -237 + c. Let d(y) be the first derivative of 4*y**3\/3 + 2*y**2 + y - 2. Give v*n(s) - d(s).\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27\/18 + 17*468\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50*16*(-22)\/(-1760)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3608.617 days?\nAnswer: 86606.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 11981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -0.088\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -21 + 22*d - 104*d + 19*d + 3 + 30*d. Calculate z(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285412747.\nAnswer: 285412747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 + (-85)\/(-25). Suppose s*k + 4 = k, -r + 5 = -2*k. Let w(j) = j**2 - j - 1. Let a(b) = -b. Let y(u) = r*w(u) - a(u). Differentiate y(o) wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38248.855 + 5.680079.\nAnswer: -38243.174921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/3 + 332*a**4\/3 + 47194*a**3\/3 - 207820*a**2 - 762000*a = 0. Calculate a.\nAnswer: -100, -3, 0, 15, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 83252*n**4 - 216699.\nAnswer: 333008*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 2*h + 4*h + 22, -4*y + 5*h + 41 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 + -232\/3. Let s = 544 - 557.35. Let y = -0.35 - s. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956 a factor of 2764057200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 34 - 7. Let a be (30\/p)\/(1\/75). Suppose 2*w - a = -3*w. Calculate the highest common factor of 20 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y + 73563921 = 7809398. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c + 4. Let u be i(3). Let v = 1779 - 1757. Is 4514\/v - u\/55 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 16*f - 219. Let b be 6\/24*266*(-20)\/(-35). Is g(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 5*n)*(-2*n**2 - 2 + 2)*(18*n + 50*n + 34*n).\nAnswer: -204*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w - 24*w - 27*w)*(-3*w**4 + w**4 + 12*w**4).\nAnswer: -410*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -10 + 4 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 67574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c - 58*c = -2*v + 82, 10*v - 7*c - 49 = -299 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1715, -13729, -46345, -109865, -214591, -370825, -588869, -879025?\nAnswer: -1251595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 40 = -2*x. Let c = 6 - -10. Let v = c + x. What is the least common multiple of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - 18. Suppose -4*n = 5*k - 7, -4*k = 2*n - l*k - 8. Let v be (-628)\/785*15\/(-4). Solve 4 = -v*x + q, -4*x - n*q + 8 = -q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2805 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 17 = 13. Suppose -4*v = -a*w - 150 - 93, 0 = 5*v - 5*w - 300. Calculate the remainder when 168 is divided by v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 15*x**2 - 2*x - 2. Let k be y(-1). Let i(p) = -p**3 + 18*p**2 - 19*p + 10. What is the tens digit of i(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17984 - 10144 = -959*d - 83265 for d.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/166076120 and -35\/3558774?\nAnswer: 498228360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -26297325?\nAnswer: -26297321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -66, -162, -294?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -60, -202, -434, -756?\n\"Answer: -45*x**2 - 7*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 8*s + 977*s**2 - 974*s**2. Let q(u) = 2*u**2 - 5*u + 4. Let k(a) = -2*a**2 + 5*a - 3. Let o(h) = 4*k(h) + 3*q(h). Calculate -5*m(y) - 7*o(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 250 + 141 = 5*q, 16 = -4*n. Suppose -3*b = y + 2*b + q, 128 = -2*y + b. Let u = -39 - y. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 9*p**2 + 8*p. Let d be o(11). What is the remainder when 41 is divided by d\/24 - 1\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.67 + -0.37. Let g = z + -3.3. Let r = -1 + 5. Which is the second smallest value? (a) g (b) r (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r - 4*r - 2*r)*(272*r - r - 39*r) to f + m*r**2 + x*r and give m.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6505975, 13011949, 19517923, 26023897?\nAnswer: 32529871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/60 + m**4\/12 + m**3\/2 - 18*m**2. Let j be w(3). Let g be 0 + 5 + -2 + (j - 0). Solve -f - g = 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-4\/7))*o)*o)\/(o*o**(6\/11)))**(10\/9) assuming o is positive.\nAnswer: o**(-860\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878369158?\nAnswer: 2, 17, 41, 630107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092641 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + k**2 + 3*k - 2. Give n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -61963 divided by -10?\nAnswer: 61963\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/11, -15, 173\/4, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -58461*-221\nAnswer: 12919881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 393, -2, -4 in increasing order.\nAnswer: -4, -2, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, r: 4}. What is prob of sequence re?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 - -129. Suppose -3*o + w = 66. Put 2, o, -4 in ascending order.\nAnswer: o, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*x - 3920 + 1742 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 4 - 5*g + 0 + 5*g**2 + g**3. Suppose 5*w + 4*q + 25 = 5*q, -3*w = -2*q + 15. What is the units digit of x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/10 + 2\/5. Suppose -3*a = w + 10, -3*w + 14 = -1. What is the closest to -0.1 in g, a, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 + -3 + 4)\/(4788\/(-7980))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*y**2 + 348*y**2 - 1052*y**2 + 355*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -722 (base 14) to base 8\nAnswer: -2572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 + -165. Let d(j) = -j**3 + 10*j**2 - 16*j + 1. Let s be d(x). Is -180 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/27 - (-4)\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 361*r**2 + 5*r + 4. Let x be u(6). Let i = -899 + x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 = 2*j, -4*c - j = 5 - 28. Solve 14 = -5*i - c*z - 11, 2*z = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3127\/77 + 283\/7. Which is the biggest value? (a) 0.2 (b) 1.319 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-24)\/90)\/((-98)\/(-245)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -51.021. Let w = l - -0.059. Round w to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -63*c - 4. What is the tens digit of d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114959 (base 10) in base 15?\nAnswer: -240de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309684, -309679, -309674?\nAnswer: -309669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n\/n**(-1)))\/n)**34\/(n*(n*n\/((n**(-1\/3)\/n*n*n*n)\/n*n))\/n)**(-39) assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*s**3*u + 391*s**3 with respect to u.\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 113*r**2 + 15890*r + 9816. Determine c(-140).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 + 13)*(-1)\/(-5). What is the greatest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 1800?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/3 - (-2)\/6. Let u be 36\/24 - 9\/2. Let k = u - g. Solve -4*o = -k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4220 - -4178. Put 23, 0, q in decreasing order.\nAnswer: 23, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, -26, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96012*h**2*i**4 - 173247*h**2 - h*i**2 + 113*h*i + 1890*i**6 + 5*i**2 wrt i?\nAnswer: 2304288*h**2*i + 226800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-seven quarters of a millimeter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 579530.7km to millimeters.\nAnswer: 579530700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, l: 5}. What is prob of sequence rr?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Suppose n = -r - 4. Let k = -0.5 + 0.3. Which is the third smallest value? (a) -3\/4 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 395639944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 64 = -3*m + 41, -4*m = -b - 120. Suppose -2*l + l + 5*h = -m, 4*l + 5*h = -1. Let o = -4 + l. Solve 0*z + o = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(2592) + 0) - (-4*(-2*sqrt(128) + sqrt(128)))\/(sqrt(8)\/(sqrt(2) + 2*sqrt(2) - sqrt(2))))**2.\nAnswer: 61952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*5)\/sqrt(6) + -1*sqrt(245))*3.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (8 - 3 - 2)) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1029\/20 + -471\/10. Let m = -63\/4 + j. Calculate the common denominator of m and 17\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -50, -66, -100, -158?\n\"Answer: -o**3 + 3*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -8. Let w(p) = 4*p**2 + 8*p + 11. Let v(t) = 2*t**2 + 4*t + 6. Let y(x) = u*v(x) + 4*w(x). Suppose y(c) = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a32995 - -5?\nAnswer: a3299a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 18*d - 589. Give t(35).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.0312 years in centuries?\nAnswer: 5.240312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Let o(u) = 11872*u - 2. Give o(k(g)).\nAnswer: 11872*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + 0*n)*(101 - 116 + 14*n**4 - 121).\nAnswer: 14*n**5 - 136*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 62. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 9. Let n be y(10). Suppose n + 4 = 5*h. Let b be ((-48)\/(-120))\/(-2 - 21\/(-10)). Solve -h*t - 2 = 4*m - b, m + 1 = -2*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1182285208 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -0.5, -3, 4, -1.2, 35, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.4 - -8.22. Let r = 4.18203 + d. Round r to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25599 and 3816.\nAnswer: 614376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -11*s**4\/12 + 26*s - 1. Let p(y) = -4*y. Determine p(g(t)).\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103989 is divided by 451.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s - 4777 = -5250 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(9\/6) + 16. Let p = 2 + s. Calculate the remainder when 28 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001618 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + 1 + -5*(sqrt(700) + 0 + 5 + -3*(sqrt(700) + 0)))**2.\nAnswer: -4200*sqrt(7) + 70441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*h + 8*h = 14, 4*p - 4*h = 28. Let t(c) = c + 2. Let z(k) = 3. Let f(s) = -2*t(s) + z(s). Let o(v) = 4*v + 2. Determine p*f(d) + 3*o(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*s - 7 = 0, -2*g = 5*s + 19 - 24. Let d = -2 - -5. Solve d*c = 3*a + g + 10, 3*c - 15 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -11. Suppose x*h = 6*h - 22. Is -11 != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 14 - 7 = -2*s, 2*f + 6 = 0. Let a = -202 + 223. Calculate the highest common factor of a and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -19. Suppose 0 = 2*t - v*c + 6, c - 15 = -4*t - 0*c. Suppose 2*i + 432 = 4*j, -j - t*j = i - 432. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3800, 7601, 11402?\n\"Answer: 3801*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66982 - 32412. What is w rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrrrrrz. Give prob of sequence rrzz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -w - 25, 5*k - 4*w - 33 - 18 = 0. What is the remainder when 24 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -77) + -3 + -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v**2 - 2*v - 3. Let q(o) be the third derivative of 17*o**5\/60 + o**4\/8 + 5*o**3\/6 + o**2 - 11*o. What is -5*i(n) - 3*q(n)?\nAnswer: -6*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -101 - (1 + 0 + 1). Suppose 0*w = -2*z + 3*w + 380, 0 = -2*z - 3*w + 368. Let v = f + z. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 109? (a) -102 (b) -154 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d9b (base 15) in base 14?\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*a*r**2 - 24624*a*r - 1500990*a wrt r?\nAnswer: -88*a*r - 24624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 4. Let d be 8 - -2*3\/r. Calculate the greatest common factor of d and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 98. Let u = -77.9 - h. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637.7779 hours in microseconds?\nAnswer: 2296000440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2212821 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-183)\/12)\/((-54)\/108))\/(-4 + 7\/2)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1002 (base 5) to base 8\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) -0.3 (c) -10 (d) 16 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35027, -34747, -34467, -34187, -33907?\nAnswer: -33627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + u - 1. Let i(a) = 20*a**2 + 10*a - 401. Let z(h) = i(h) - 5*q(h). What is the first derivative of z(m) wrt m?\nAnswer: 10*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30846809\/3 at most 10282270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -4 - -2 - (344\/1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59022 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67220.98ug in milligrams?\nAnswer: 67.22098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4822143 months to millennia.\nAnswer: 0.000040184525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 50 = -5*b, 4*f + b - 8 = -3*b. Let a(k) = 13*k - 6. List the prime factors of a(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 0.3 (c) -164 (d) -4 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 - 15*k + 11. Let u be -5*(192\/10)\/16. Let f(a) = 3*a**2 - 8*a + 6. What is u*t(n) + 11*f(n)?\nAnswer: 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1302\/3038*(-7)\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17130?\nAnswer: 2, 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29 - 2c28?\nAnswer: -2c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/21, 19590, 19 in descending order.\nAnswer: 19590, 19, 4, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**2 - 133*i - 54 = 0.\nAnswer: -2\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 971919 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8427 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48 and 615004.9?\nAnswer: -29520235.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8730\/223, -5, 5\/3, 1\/4 in descending order.\nAnswer: 5\/3, 1\/4, -5, -8730\/223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 - 4) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(-5 + 1*(2*(1 + sqrt(245)) + 2 + (-1 + sqrt(245) - sqrt(245))) + -1)**2.\nAnswer: -252*sqrt(5) + 2966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -31*y**3 - 2*y**2 - 2*y - 1. Suppose -8*b = 7*b - 450. Calculate the smallest common multiple of b and g(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 20 - (-4)\/(-4). Factor s*k**3 - 26*k**3 - 2*k**2 + 5*k**5 - 12*k**4 + 15*k**3.\nAnswer: k**2*(k - 1)**2*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32324192 - 32324192 - 41681*r.\nAnswer: -41681*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 2084?\nAnswer: -2084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*r - 6 = -325*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 528106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:39 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:28 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4239, -4234, -4227, -4218, -4207, -4194, -4179?\nAnswer: -4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240 - 2*a**2 + 240 + a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262736 - -262717.10295. Let t = r - -18.9. What is t rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, 38, 51, 72?\n\"Answer: 4*g**2 - 7*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32886 + 1329. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 - 4*q**2 + 3*q**2 + (3 + 4 - 5)*(3*q**2 + 7 - 7) + 1 - 1 + 4*q**2 in the form g*q + w*q**2 + d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 10. Suppose 15 = s*o + 3*o. Solve -o*t - 3*q = -0*t + 3, 5*t + q = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 (base 8) in base 11?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 11. Let i be q(8). Suppose o - i*o = o. Suppose -17*m + 18*m - 10 = o. Calculate the remainder when 46 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110973 or -1\/134?\nAnswer: -1\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*k**3 - 295*k**2 - 259*k - 6 = 0. What is k?\nAnswer: -6, -1, -1\/42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5051 + 33296 = 866*j + 7373 - 57934 for j.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 11*g**2 + 6*g - 12. Let v be q(11). Suppose 729 + v = -3*d. List the prime factors of 2\/8 + d\/(-12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 379760363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 3, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*4*sqrt(275))**2 - sqrt(275)) + (3 + sqrt(275))*-2 + (-3 + (sqrt(275) - (sqrt(275) + (-3*(sqrt(275) + 2))**2)))*4.\nAnswer: -735*sqrt(11) + 148338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*o**5*q**2 - 4*o**2*q**2 - 23*o*q**2 wrt o?\nAnswer: 580*o**3*q**2 - 8*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((-15)\/(-10) - 2). Let f(v) = v**2 - v + 7. Calculate f(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 46.086. Let r = a + -0.059. Round r to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3605.1589 to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((((b\/(b**(1\/4)\/b))\/b)\/b*b)\/b))\/b)\/((b\/((b*b**22)\/b))\/b)*b**(-6\/11)\/b**(5\/9) assuming b is positive.\nAnswer: b**(8375\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3 - 702.5693208.\nAnswer: -700.2693208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1573) - sqrt(1573)*-2).\nAnswer: 4 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*p - 3178062 = -228*p - 108*p. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.49 + -137.7\nAnswer: -135.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 2. Calculate k(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 10*g + 5*j = -15, -2*g + 4*j + 14 = 0. Let r = 7 + -3. Let i(h) = -1 + 2*h + r + 3*h. Let m(p) = -4*p - 2. Determine g*i(l) + 6*m(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Express (5*b**3 - 2*b**3 + 279*b - 284*b)*(3*b - 6*b + 4*b) in the form n*b**3 + z + x*b + v*b**4 + q*b**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 61. What is the closest to f in 3, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 24, -1\/5, 0, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c + 4. Let d = -27 - -28. Let k be t(d). What is the second derivative of -12*v + k*v + 3*v**4 - 5*v + 27*v**4 wrt v?\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 17*t**2 + 15*t + 51. Let x be h(16). Calculate the lowest common multiple of (20\/25)\/(2\/x) and 38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042793714 rounded to six dps?\nAnswer: 0.000428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 6:17 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 1 + 3)*(9 - 27 - 81)*(2*r + r - 2*r)*(1 - r + 0*r + 3*r) to k + a*r**2 + q*r and give q.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(304) - sqrt(304)*-1) - sqrt(304) - sqrt(304))**2 - ((-2 + sqrt(304) + sqrt(304))**2 + 1 + sqrt(304) + 5).\nAnswer: -1228 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109984 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182580 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 22 = -4*q + 4, -5*z + 7 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1516 - -0.0516. Let u = 0.18 + -0.33. What is the nearest to 0 in 0.3, p, u, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -204 - -212. Is 2 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 3*z)*(85*z**4 + 3*z - z**3 - 82*z**4 + 2*z).\nAnswer: 3*z**5 - z**4 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1749427.659s?\nAnswer: 2.8925721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 7*u - 3*u)*(11 - 11 - 26*u**2).\nAnswer: -78*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/72 and (255\/56)\/(-5) + -47 + 49?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 682 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**6\/15 - 59*q**2\/2 + 3*q - 2. What is the derivative of j(k) wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 6*o**2 - 20. Determine u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-294)*16\/(512\/56)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 20*r - 7. Determine n(-17).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 647024 - 1012710. Let q = -515814 - u. Let j = -550128 - q. What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbxbexxebbex. Give prob of picking 3 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p**4 + 11\/6*p**6 + 0*p**5 + 0*p**3 + 0*p + 10 - 29\/2*p**2. What is the second derivative of k(f) wrt f?\nAnswer: 220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-2\/5)*r)*r*r\/(r\/r**(5\/7)))**22)**(-19) assuming r is positive.\nAnswer: r**(-4598\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90*p**2 - 624*p + 624*p)*((-4 + 4 - 1)*(-2 + 2 + p) + 2*p + 0*p + 0*p) in the form a*p**2 + k*p**3 + u*p + d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 2. Let k = -114 + 116. Give h(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 1 p when three letters picked without replacement from dmfipddd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 33 = 3*d. Let i = d + -22. Let h = 42 - i. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.011 and -75.37084?\nAnswer: -0.82907924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 774*p - 64*p + 343*p - 93*p - 34*p - 447 with respect to p.\nAnswer: 926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtwwwdwddndddnwnndn. Give prob of picking 3 w and 1 n.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(1\/(2 - 1)). Suppose -45 = -0*w - x*w. What is the common denominator of -145\/6 and (-3)\/w + 645\/72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55973627 + 27137627. Round z to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 5 + 61 = 0. Let l be 60\/68 + c\/(-51). Let n be (-2)\/4 - 14\/4. What is the nearest to l in n, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 39*i**2 + 326*i + 11. Determine d(-27).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from zslltlzzltslllllym.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -4, -19, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12 - (1 + 3\/6)\/(33\/(-176)). Let f(j) = -j + 22. Let k be f(9). Sort 2, k, d in ascending order.\nAnswer: d, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01265 and 1.672.\nAnswer: 0.0211508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 13*u + 21. Let y be d(11). Suppose r - 17 - y = 0. Suppose 5*w = -4*o + r, 0 = w - 5 - 0. Solve 2*k + o = -0*n + 4*n, 4*n - 3*k = 32 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147251574 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 114.6 in 0.1, -0.1, -177, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2) - 2)*3\/(-6). Suppose -6*z = -17 - q. What is the remainder when 38 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 7. Let x be y(-7). Suppose -30 = 4*m - x*m + 2*n, 2*m - 4*n + 20 = 0. Let s be 8 - (7 - m\/(-2)). Sort -1, s, 2.\nAnswer: -1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 9) in base 11?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 113350304 and -5.\nAnswer: 113350299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -737388 by -7.\nAnswer: 737388\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -33, -39.\nAnswer: -39, -33, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 62*q - 19. Calculate the remainder when u(5) is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3325889537?\nAnswer: 17, 41, 97, 49193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(-96)\/(-832) + 10.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1205658 - 26508703\/22. Let s = 719 - b. Find the common denominator of (-318)\/(-8)*(-4)\/54 and s.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 140 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13754\/63 + -5174\/9. Let v = d - -356. Put v, 1\/9, -1 in decreasing order.\nAnswer: 1\/9, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 1. Let m = 1021 + -1067.9. Let s = 47 + m. Which is the closest to s? (a) -0.1 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-24))\/((-77)\/(-14))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-24)*4\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 5 (c) 2162 (d) 0.1 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 99 = -5*g - 7, 5*j - 180 = 5*g. What is the remainder when j is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/6 - 2\/(-3). Is (-366)\/5*20\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -7 - (4 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -184.\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -233294457997 minus -18.3?\nAnswer: -233294457978.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*w**5 - 142*w**2.\nAnswer: -5700*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 6 (c) 5 (d) -110112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 19. Let b = -2 + 2.2. Let s = 0.2 - 0.3. What is the closest to s in h, b, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -1\/7, -4, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v + 6. Let p(a) = -91*a - 77. Let g(h) = -77*l(h) - 6*p(h). Let x(w) = -8*w - 1. Let j(o) = 343*o + 42. Let c(i) = -j(i) - 42*x(i). Give c(g(f)).\nAnswer: -49*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1418c (base 15) to base 2\nAnswer: -1111101111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981 = -34*p - 1695 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518 (base 9) to base 12.\nAnswer: 2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176759.\nAnswer: 11, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33220 and 11220.\nAnswer: 1694220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + q**2 + q. Let l(a) = -13*a**3 - 14*a**2 - 4*a. Let v(z) = 4*h(z) + l(z). What is the third derivative of v(n) wrt n?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 461\/6 + -153\/2. Let n = -0.13 - -0.43. What is the nearest to 1 in n, v, -1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 0, 0.08, -1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/(162\/(-108)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffffwwfffffffffffw.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 3, -5, 201 in ascending order.\nAnswer: -5, 3, 4, 5, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*j + 2*j - 80 = 0, 2*o - 167 = -j. List the prime factors of o.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 6*y + 12*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 60, 60, 44, 6?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 787 or 30640\/39?\nAnswer: 30640\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3978*o = 842*o + 178752 for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 7:00 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -167\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y**2 - 32*y**2 + 20*y**3.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.444777 + -0.857735. Let b = f - -0.413. Round b to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11724*l + 11344. Calculate q(-1).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 2494?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 10:26 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 2, m: 2, g: 7, v: 6}. Give prob of sequence ogmz.\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4439*g**2. Let w(z) = 7*z. Give u(w(c)).\nAnswer: -217511*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 18882?\nAnswer: 151056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*w - 8, 0*w = 4*w - 8. Let b be x*(2\/4 + 0). Let s be (-16)\/(-7) + b\/(-21). Solve k = s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v**2 + 8*v**2 + 4*v**4)*(-6*v - 3 + 3) + (-3*v**4 - 2 + 2)*(-3*v + 0*v + 2*v).\nAnswer: -21*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3 + (-64 - (-57 - 30)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6) - 1)*-6. Suppose 4*l + 7 = 3*i + s*i, -2*l + 3*i - 5 = 0. Solve l*q + 7 = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2 = -d - 4*b, 4 = 2*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u. Let p(d) = 2854*d. Give j(p(y)).\nAnswer: -11416*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 15 = -y + 5*p, 4*y + 12 = -5*p. Suppose -5*f = -y*f + 6. Let t be 1\/f - (-50)\/140. Is -3 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 < 3526434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-1 + 1 + sqrt(80) + 4)**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 25 = -j. Let c = 41 + j. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 346004?\nAnswer: -345663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -77*g + 3291. Give s(43).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041884.\nAnswer: 2, 3, 13, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4841 - -4962. Calculate the remainder when 342 is divided by r.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(((sqrt(475) - (sqrt(475) + -4))*2 + -4)*-1)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-6))\/u)\/(u\/u**(1\/8)))\/(u**3*u**(-1\/4)) assuming u is positive.\nAnswer: u**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -3*s**6\/40 - 3*s**5\/20 - 6*s**2. What is the third derivative of h(d) wrt d?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 3. Let q be c(-3). Suppose -2*h - 2*h + 476 = q. Calculate the remainder when h is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0 - 8. Solve -5*x + 0*c = c - 17, 0 = -a*x - 5*c + 22 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795*v + 6642*v + 66 + 9517*v.\nAnswer: 14364*v + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + 6*q)*(-2 + 2 + 2*q) + (q - 12*q + q)*(4 - 4 - q + (2 - 6 + 2)*(4 - 4 + 2*q) + 2*q + 2*q - 6*q - 2*q - q + 4*q).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 5:49 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78304171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z - 163. What is p(24)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.74 + -1348.7734\nAnswer: -1349.5134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367780.8 days to nanoseconds.\nAnswer: 31776261120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -291 - -492. List the prime factors of u.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 14. Suppose 0 = 5*n + 3*l, n - 3*l = 3*n. Let c be k(n). Solve 0 = 4*v + 6 + c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231930 to the power of 1\/2, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76418208 to the nearest integer?\nAnswer: 8742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5003780313 to the nearest integer?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 628651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -13*w**9\/252 - w**5\/10 + 3*w**2 - 27. Let b(j) be the second derivative of y(j). Find the third derivative of b(v) wrt v.\nAnswer: -3120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 795*r**2 - 1541*r**2 - 664 + 1761*r**3 + 748*r**2 wrt r.\nAnswer: 10566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 598586 in increasing order.\nAnswer: -1, 11, 598586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/4 - 7*v**3\/3 + v**2\/2 + 5*v + 1. Let n be i(-7). Let c be (1 - n)*20\/12. Solve -2 = c*m - 0*m - 4*b, -m = b + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/3 - 126356*k**2\/3 + 1220320*k.\nAnswer: 4*k*(k - 31560)*(k - 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(4\/9)*o)**(-2\/23))**(-6\/5))**(2\/21) assuming o is positive.\nAnswer: o**(104\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j + 2970 = 4*j + 55*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202530 by 86.\nAnswer: 2355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -662, -1482, -2630, -4106, -5910, -8042?\nAnswer: -10502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101 (base 2) to base 8.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 20 - 5. Let j(x) be the first derivative of x**4\/4 - 5*x**3\/3 + x**2\/2 - 5*x - 2. Let m be j(5). Sort m, -2, u in ascending order.\nAnswer: -2, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-48)*-4*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46756*h**4 + 247*h**2 - 260*h wrt h.\nAnswer: 1122144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 10*i - 5. Suppose 0*j = 3*j - 9. Calculate the remainder when m(-8) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-57)\/180)*(-218)\/1744.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 376 and 28?\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 125984 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let z(b) be the third derivative of b**8\/3360 + b**5\/20 - 33*b**2. Let d(l) be the third derivative of z(l). Give h(d(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3.97. Let w = -0.13 + q. Let v = 0.7 + -0.2. Which is the closest to w? (a) 1 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1422 and 790?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 51. Suppose 0 = -14*h + 22*h + 488. Put u, -5, h in ascending order.\nAnswer: h, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:47 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13629.6 rounded to the nearest 100?\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-4)\/16*6\/4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 13*i**2 - 27*i + 31. Give y(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0037, -590\/7, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -89 + 89 + -19 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 36*s - 265. Suppose 3*w - 29 = -n, -22 = -w - 4*n - s. Suppose -168 - 12 = -5*q. Calculate the greatest common divisor of q and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + i. Let y(k) = 6*k**3 + 17*k**2 - 4*k + 20. Let n(d) = 2*g(d) - y(d). Is n(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599*u**2 + 8*u + 284*u**2 - 6*u.\nAnswer: 883*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9193771 to four decimal places.\nAnswer: 0.9194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.6 plus 2191167798?\nAnswer: 2191167830.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -12*s. Let w(d) be the third derivative of d**7\/2520 - 5*d**4\/12 + 3*d**2. Let c(i) be the second derivative of w(i). What is c(j(o))?\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -3\/8 (c) 161\/59 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 9:48 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609843847?\nAnswer: 47, 12975401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2226*k**5 - 74*k**4 + k**3 - 3*k**2 - 21532*k.\nAnswer: 133560*k**2 - 1776*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1440 and 31950.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24c9b (base 14) to base 16\nAnswer: -160b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 2\/13 (b) 0.3 (c) 0.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-396)\/(-10))\/((-10)\/(-25)). Suppose x = -10*h + 1784. Suppose -h - 119 = -8*r. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(35\/21))\/(-6 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 2322*m**2 + 58 - m**4 + 5*m + 3*m - 55 - 10*m to the form y + t*m + c*m**2 + k*m**4 + h*m**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -0.9. Let m = -1.4 - f. Let h = m + 1.2044. What is h rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 i, and 1 s when four letters picked without replacement from shbiswhhhhwzihihwhh.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3195*d + 25*d**2 - 9*d**2 + 20 - 3184*d - 15*d**2. What is k(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 + -89. Let y be 930\/l - (-2)\/(-14)*3. Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 25*y**2 + 46*y - 51. Let u be z(14). Suppose 5\/3*p**3 + 20\/3*p**2 - 30 - u*p = 0. Calculate p.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Let k(m) = 9277*m**3 - 15*m**2 + 5. Let q(a) = 4639*a**3 - 7*a**2 + 2. Let u(n) = 2*k(n) - 5*q(n). Let c be u(x). Round c to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/28*20*((-54)\/(-315))\/(440\/(-77)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -174?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17d7b (base 16) to base 13.\nAnswer: -355b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16738 + -5.83262. Let j = 1.4 - 1. Put j, h, -2, -4\/5 in decreasing order.\nAnswer: j, -4\/5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -483d - -780d?\nAnswer: 2db0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:49 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1101429 (base 10) to base 15\nAnswer: 16b539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23a - 76?\nAnswer: -2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1345946 and 12.\nAnswer: 8075676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1443 + 4125 = 64*h. Calculate the remainder when 247 is divided by h.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1875824.\nAnswer: -9379120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000855923 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55*u + 574*u + 607*u)*(-3 + 0 + 4) to s*u + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/386 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/70*-25*(1 + (-14)\/20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27503\/5 + 5503. Let c(u) be the second derivative of 0*u**2 - n*u**5 + 7\/3*u**6 + 2\/3*u**4 + 0 - 10*u + 0*u**3. What is g in c(g) = 0?\nAnswer: 0, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 992 - 1003 - 16*v - 88*v**2 - 81*v**2 - 758*v**2 wrt v?\nAnswer: -1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2012195 and 748917.\nAnswer: -1263278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddt when three letters picked without replacement from {d: 10, t: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 54*s**2 + 55*s - 103. What is t(53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 + 1 = 0. Let z = c + 10. Let q(w) = -z + 1 + 2 + 2*w. Let g(v) = 4*v**2. What is q(g(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l + 0*l**2 + 20 + 1\/5*l**5 - l**4 + 4\/3*l**3. Factor p(h).\nAnswer: h**2*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 8*u + 4*m, -4*m - 128 = -3384*u + 3380*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 17*p**2 + 0*p + 0*p**3 + 0 + 1\/24*p**4. Let g(f) = 13*f**2. Give s(g(b)).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 265410, 1061643, 2388700, 4246581, 6635286, 9554815?\n\"Answer: 265412*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302991 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1484.\nAnswer: 1\/1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16291 is divided by 114.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 32*x**2 + x**4 - 3 + 32*x**3 + 16*x**3 + 23*x**4 + 4*x**5 + 3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i + 46. Calculate a(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -16. Let c be (-1 + 10\/(-14))*56\/(-8). Suppose 0 = -14*a + q*a + c. Solve -2*h - 5*l = 15, -4*h - a = l - 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**4\/6 + t**3 - 5*t**2 + 6*t. Is u(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 - 70*t + 116. Let n be o(-19). Factor 9\/7*m**n - 6\/7*m**3 - 3\/7 + 0*m.\nAnswer: -3*(m - 1)**2*(2*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 749381991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8739 - 243 + 1114 + 4634 + 928)*(c**5 + 2*c**2 - 2*c**2).\nAnswer: 15172*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**3 - 44*g**2 + 48*g = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(30) - (sqrt(30) - (sqrt(1920) - 2*sqrt(1920))) - 3*(sqrt(30) + -1*sqrt(30))))\/((4*-2*sqrt(10) - sqrt(40)*-5)*5).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + z**2 - 3*z + 2. Let l(g) = 3*g**3 - g**2 + 5*g - 3. Let o(q) = -7*b(q) - 4*l(q). Calculate o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 - 149 - (-5 - 2) - (-24 + (10 - 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 3*a - 1557 = 9*v, -5*v + a + 2583 = 0. Suppose 396 = 11*i - v. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*u - 3*k, -5*u - 21*k + 26*k = -35 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16cad + 16c?\nAnswer: 1703b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -0.4 (c) 28 (d) -0.2 (e) 0.1 (f) -11\/50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2736) - 5*(0 + sqrt(2736))) - -3*(sqrt(19) + (sqrt(38)\/sqrt(2))**2 + 3)*-3.\nAnswer: -297*sqrt(19) - 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 17. Let n(v) = v + 4. Let k(g) = 3*g + 7. Let q = 0 - 11. Let s(a) = 16*a + 36. Let y(z) = q*k(z) + 2*s(z). Determine r*n(u) - 2*y(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*j**(-9))*j)*j*j\/j**(2\/5))**(2\/103) assuming j is positive.\nAnswer: j**(-64\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-374)\/10098)\/(5\/(-5805))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151878319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 3, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 256537017 or 256537019?\nAnswer: 256537019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k + 29. Let h be j(-5). Let r be (12 - h)\/1 - (-2 - -4). Let i(q) = -q**3 + 10*q**2 + 17*q - 7. What is the units digit of i(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*j - 4. Let i = 36 + j. Suppose -181*w + 168*w + 2028 = 0. Calculate the highest common divisor of i and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 7) to base 15\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975093 > 2975093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*4\/(-24)*3. Let d be ((-55)\/2)\/(a\/(-6)). Suppose 0*s = 5*s - d. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 6322?\nAnswer: 6322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 22. Suppose -2*t + 18*t = 2544. Let v be (-128)\/(-224) + t\/(-21). Give b(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29 - -28)*(1 - 0). Suppose -4*r - 23 - 9 = 0. Put 2, 5, r, p in decreasing order.\nAnswer: 5, 2, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 4:19 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = -x - 0*x, x = 5*t - 25. Let j be 4\/(-7 + t) + 4. Suppose -30 = -12*c + j*c. Solve c*r + z = -3 + 2, 4*r + z = -3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2145)\/(-325) - (-1 - -7). What is the closest to -1 in -2, 2\/55, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(1584).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3778534?\nAnswer: 2, 1889267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 37 - 51 = 0. Solve 3*v - 4 = l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t)**(-12)*t*t**5*t**(1\/3) assuming t is positive.\nAnswer: t**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = o - 8836, -3*o - 22*j + 26472 = -28*j. Is o a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-35 - (2 - 4)). What is the highest common factor of d and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35977407?\nAnswer: 3, 53, 353, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10502452*h**2*p**2 + 163018*h**2*p + 4*h*p + p wrt p?\nAnswer: -21004904*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1) - 7\/(14\/(-2)). Solve 4*r = -m, 3*r + 23 = 5*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 6*y + 5*y)*(-2*y**2 + 3*y**2 - 5*y**2) + (2*y**2 + y**2 - 2*y**2)*(-6*y + 4*y + 4*y) + (-3*y**2 + 3*y**2 + y**2)*(4*y - y - y).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -429198*x**3 - 474277*x wrt x?\nAnswer: -2575188*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 1:46 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - ((-15 - -6) + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 34.2. Let u = 1.6 + f. Let y = -2.60000076 - u. Round y to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -100*k**3 + 1\/135*k**6 + 3 - 375*k**2 + 35\/3*k**4 - 22\/45*k**5 - 4*k. Factor z(j).\nAnswer: 2*(j - 15)**3*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1 - ((1 - (1 - 1)) + -16)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 + -92. Suppose j + 4*s + r*s = 21, 24 = 4*j + 4*s. Solve 4*t = j + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915124 is divided by 1770?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s*u*z - 9*s*x*z + 5*s*x + 2*s*z + s + 2*u*x*z - 7*u wrt z?\nAnswer: s*u - 9*s*x + 2*s + 2*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2550248.3231 and 0.05.\nAnswer: 2550248.3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 5\/2, 2, -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from ddcvcchvckchvkh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 756833554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 12.08. Let k = h + 0.08. Which is the closest to -0.1? (a) -5 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48 + -204?\nAnswer: -24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -8. Let v = x - 16.48. Let t = -0.5199919 + v. What is t rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -202?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -556 + -bc0cb?\nAnswer: -bc654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 2*t + 2. Let w(b) be the second derivative of b**3\/6 - b**2\/2 - 391*b. Let p = -5 + 2. Give p*f(s) - 6*w(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516306 divided by -6.\nAnswer: -86051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13049\/42 - -2176\/7. What is the smallest value in h, 8, 2\/11, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2129239\/40 + -53238. Let a = 61\/8 + b. Let v = 0.72 + -0.22. What is the nearest to 0.1 in a, v, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 4)*1487 + (-2 - -1). Let y = q + -2700. Let j = -693 - y. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -437 - -437.001238. Round j to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94299?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -52, -4, -3, -1 in ascending order.\nAnswer: -52, -4, -3, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/(-5 + 2))\/2. Let f be v + -4 + 0 + 2. Suppose -f*s + 166 = -84. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144239 + -244?\nAnswer: 143aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**5 + 120*l**4 + 168*l**3 - 33450*l**2 - 2325*l + 761250 = 0.\nAnswer: -14, -5, 5, 25, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*b - 0*b - 120, -2*b + 76 = 3*o. Suppose 2*i = 5*i - 2*z - o, i = -z - 1. Solve 2*y + 2*t = -3*t - 12, t = i*y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/9 + 16*j**4\/9 - 1108*j**3\/9 - 1520*j**2\/3 + 18050*j = 0.\nAnswer: -19, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - (-2)\/(-4). Let j = 4 - k. Solve 0*l + 20 = j*l + 3*y, -l + 3*y = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 9381976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 35*z**2 - z - 21. Let s be i(-35). Let a(w) = -18*w + 56. Let j(u) = 17*u - 56. Let k(q) = 2*a(q) + 3*j(q). What is the tens digit of k(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-182)\/(-455)*(4*7 + 2). Calculate the highest common divisor of 786 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.13, -1, 0.4, -5.\nAnswer: -5, -3, -1, 0.13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from gffhfhggg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2\/3*v + 2\/9*v**2 - 20\/9 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2608241 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2011456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*i - 24 = 0, -2*v + 53*i = -3*v + 55*i - 1 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 11*o**2 + 28*o - 7. Let c be z(6). Let w(r) = -5*r + 58. Is 9 a factor of w(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + 2. Suppose -u = 2 - b. Calculate the highest common factor of 96 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 2, q: 4, z: 1, v: 10}. What is prob of sequence qeeb?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(2*s**2 + 0*s + 0*s)*(-2 + 0 + 16*s**2 + 9*s**2).\nAnswer: -150*s**4 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y. Let c(l) be the second derivative of l**4\/12 - 8*l. Calculate o(c(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5629, 6, 2, 12, 7.\nAnswer: -5, 0, 2, 6, 7, 12, 5629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 + 2*k + 17 + 25 as f*k + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 202356 = -27*x. What are the prime factors of x?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let n(l) be the second derivative of -95*l**3\/3 - 7*l**2\/2 + 6*l + 344. Determine y(n(d)).\nAnswer: -190*d - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from zrs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -27*f**2 - 5*f + 4. Let o(v) = 40*v**2 + 7*v - 5. Calculate 7*i(c) + 5*o(c).\nAnswer: 11*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 9 - (6 - (0 + 31)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -868 and 5?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -16 - 0) + -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24778 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - 5485?\nAnswer: -5521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32974 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -89 + (-5 + 3 - 8) + 5.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 4, w: 3, y: 1, r: 4}. What is prob of sequence rya?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2067168 by 6.\nAnswer: 344528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l = -2396. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -9, -1564\/5, 2926.\nAnswer: -1564\/5, -9, -1\/2, 2926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1984383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h - 1. Let t(j) = 16*j**2 + 12*j + 12. Let y(i) = 31*i**2 + 22*i + 22. Let o(l) = -11*t(l) + 6*y(l). Determine a(o(x)).\nAnswer: 30*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = 0. Let l(r) = -2*r**3 - 5*r**2 + 3*r - 33. Let g(h) = -3*h**3 - 8*h**2 + 5*h - 49. Let m(s) = 5*g(s) - 8*l(s). Is m(y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103339 is divided by 541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528*l + 4 - 13 + 9.\nAnswer: 528*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + m - 8 = 0, -5*s - 1010 + 1060 = -5*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1 + sqrt(2)) - sqrt(352)\/sqrt(11)) + (sqrt(72)*-1 - sqrt(72)) + 1)**2.\nAnswer: -104*sqrt(2) + 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 31*i**6\/60 - 3*i**5\/20 - 17*i**4\/24 + 10*i**3\/3 + 3*i**2. Let v be j(-15). What is v rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, z: 10}. Give prob of picking 1 p and 3 z.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x + 81 = 0. Let a be 15\/(-30)*(-30*22 + -2). Let q = a + -305. Is q bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 5*r**2 + 2. Let j(t) = -6*t**3 - 15*t**2 + t + 7. Let m(x) = -2*j(x) + 7*n(x). List the prime factors of m(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*p**5 - 618*p**3 + 743*p**2 - 223917731*p wrt p.\nAnswer: -580*p**3 - 3708*p + 1486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2 - 12*c + 6. Let t(y) = -y - 1. Let m(b) = -14*b**2 - 41*b + 12. Let a(i) = -m(i) + 6*t(i). Let r(f) = 4*a(f) + 11*x(f). What is r(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + (-99)\/11)\/((-3)\/(5\/(-5)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.970674mm to nanometers.\nAnswer: 9970674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - v**2 + 10923624936 - 10923624936.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 17 = 5*g - 6*g, 3*p - 766*g = -763*g - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (58\/(-232))\/((-2)\/(-8)). Let j = 5 + -2. Suppose 2*s + 4*r + 2 = 0, s = -2*s - 5*r - 1. Which is the closest to s? (a) o (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/2 (b) 2 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1*1*sqrt(304)*3 + 5 + sqrt(304) + -1*(sqrt(304) + 0) + 3)*6)**2.\nAnswer: 9504*sqrt(19) + 102852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or -12429?\nAnswer: -12429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25*5354.804.\nAnswer: 1338.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 11 (c) -3 (d) 37 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 19 = -l, 16*l = 103*c - 101*c + 66 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572 is divided by 705?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -44?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-12 - 23 + 14)*(1 + a - 1) + 3*a - 4 + 4)*(-a + 2*a + a).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 30671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-720)\/(-112) - (-21)\/(-49). Solve 0 = -2*q - y*r + 2*r - 12, 0 = -2*r - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139197255 divided by -5\nAnswer: -27839451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77282310.\nAnswer: 2, 3, 5, 7, 19, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 195*t - 1004095 - 484456 - 1349674. List the prime factors of t.\nAnswer: 5, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178621132*k**4 + 21012776*k.\nAnswer: -2143453584*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -17*p**5\/5 - 9*p**4 + 44*p**3 + 8*p**2 + 248. Factor l(c).\nAnswer: -c*(c - 2)*(c + 4)*(17*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {s: 2, o: 2, m: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-820)\/140 + 6\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h*q**2 + h*q*v + 51*h*v + 3*q**2*v - 87*q*v + 2*q wrt h.\nAnswer: -9*q**2 + q*v + 51*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185.67 - 185. Let l = 1.67 - n. What is the nearest to -1\/4 in l, -5, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 2, s: 1, g: 9}. Give prob of picking 1 s and 1 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(((-125)\/1750)\/(4\/(-1218)))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102012 - 222100?\nAnswer: -100101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -21*h + 3. Let u(y) = 22*y - 4. Calculate 3*u(a) + 2*z(a).\nAnswer: 24*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*t - 913 = 2327 - 860 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2855?\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 16*v + 23 = 15*v - 34*v, 0 = -101*f + 2*v + 1909 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53\/90 in 11\/2, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/613 (b) -4\/7 (c) -0.07 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -2. Let v(k) = -k**3 - 5*k**2 + 4*k - 6. What is the units digit of v(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66000 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177 and 4253192?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.7183, -10\/21, -0.48, 4?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51443 and 95537.\nAnswer: 668759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 66*s - 193. Let q be a(3). Solve q*k - 19 = -14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Suppose 6 - 2 = -p, 4*c = -w*p + 4. Suppose 3*a - 10*h = 245 - 298, 0 = 3*a + 2*h - 7. Put a, c, -4 in ascending order.\nAnswer: -4, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4\/5 - 2\/5*d**2 + 2\/5*d = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*r - 25. Let w(b) = -b**2 - 10*b - 6. Suppose 0 = 4*p + 3*f - 147, 182 = -0*p + 5*p + 2*f. What is the remainder when p is divided by w(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2354, 2387, 2458, 2579, 2762?\n\"Answer: 2*t**3 + 7*t**2 - 2*t + 2347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(sqrt(891)*-2)**2 + (5 + ((sqrt(1100) + 1 - sqrt(1100)) + sqrt(1100) - sqrt(1100)) - (sqrt(1100) + sqrt(1100) + 1*sqrt(1100)*2)**2).\nAnswer: -28286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 - 2. Let k = -28 + 29. Which is the nearest to k? (a) 2\/7 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*n + 37 = 9, 0 = -2*n - 4. Let b = r - 23. What is the closest to b in -4, -2, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3017 = -7*a - 2921 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, 27, -18 in descending order.\nAnswer: 27, 2, -18, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, y: 1, k: 1}. Give prob of sequence eke.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (34 + -33)\/(4\/(-6) - -1). Solve -o*g = -5*c + 32, 3*c + 3*g = -2*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12900052 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*s + 15, 2*g + s - 16 = 5*s. Is (-2 - -69)*(-2)\/g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 6465022?\nAnswer: 6465017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10.9. Let l = 10 + -11.2. Let d = l + f. Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + sqrt(425) + -1 + sqrt(425))**2 + -3*sqrt(17)*-1.\nAnswer: -27*sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229322 is divided by 97.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*j + 77*j**2 - 1 + 1.\nAnswer: 77*j**2 - 104*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*v**2 + 2 - 504*v**2 + 1766*v**2 + (0 + 0 - v**2)*(8 - 2 + 0) as c + t*v**2 + z*v and give t.\nAnswer: 1387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(3 + 57\/(-21)). Suppose 0 = 2*z + 3*d - 7, d + c = -0*z - 3*z. Let y be (42\/(-175))\/(z\/10). Is y equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*t + 0*s + 65 = -534*t - s, -4*t - 11380 = 284*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 274 (b) -0.1 (c) 15338\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -7*f**5\/5 - 5*f**4 - 170*f + 221. Differentiate q(x) wrt x.\nAnswer: -28*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013430402 (base 5) to base 14\nAnswer: -3c6878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3918 by 1.\nAnswer: -3918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*u - 41 - 179 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 451143 + -23?\nAnswer: 451120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 11*d + 2*f + 2566, 0 = -d - f - 856. What is the lowest common multiple of 144 and d\/(-7) - (8\/1)\/(-2)?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5\/3 + 310*x**4\/3 - 3728*x**3 - 66536*x**2\/3 + 98560*x\/3 + 51200 = 0.\nAnswer: -6, -1, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a**3 - a**3 - 6*a**3 - 8*a**3 - 14*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 5 = 5*v + 4*r, -3*r + 21 = 2*v. Factor -5*q + 3*q + q + q**v.\nAnswer: q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(6 - 2 + 0)*(-3 + 3 + t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133.33 - -0.33. Let x = -2964.18 - -2831.233. Let d = p - x. What is d rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = -25. Let t = 0 - 4. What is the smallest value in t, o, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -5*q + 3*z, -6*z + 2*z = -3*q + 110. Suppose q = -2*d + 36. Let f be d - 0 - (0 + 2). Which is the closest to 0.1? (a) -0.3 (b) -1.9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -32, -5, 5 in descending order.\nAnswer: 5, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -93215?\nAnswer: -37286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6164379?\nAnswer: 3, 13, 19, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 198 - (-1 + -1 + 0). Let u = -8 - -33. What is the highest common divisor of a and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003305113 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27649 rounded to the nearest one hundred?\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 4*s - 23. Is z(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwwwwwwnwwww. What is prob of sequence nnw?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13894 + 14030. What is the smallest common multiple of s and 3944?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.15 - 1.08. Let h = 0.13 + n. Let i = h - -1.8. Which is the nearest to 2? (a) -2\/11 (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 c when three letters picked without replacement from mmnnnrmcnnmcn.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 10418.\nAnswer: -3, 4, 5, 10418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2454.9417 months?\nAnswer: 20.4578475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 310 = -2*c - 3*c, -2*b + 106 = 4*c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -11*d**3\/3 + 39*d. Let w(m) = m**2 + 6*m. Let i(a) = a - 74 + 74. Let n(q) = -6*i(q) + w(q). Give o(n(v)).\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 72, 5, 4, -3\/8, -4, 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:17 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0 + 0*y**4 + 0*y + 1\/60*y**5 - 1\/6*y**3 + 4*y**2. Differentiate l(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29624?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3724 = 106*m - 50*m - 70*m. Solve -m = x - 273 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -67*n + 780. What is i(12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12285 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**4)\/c**11)**22 assuming c is positive.\nAnswer: c**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20923987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, d: 1, y: 10, n: 1}. Give prob of sequence dc.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 - (-4 + (-6 - 3 - -18)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**8\/168 - k**5\/10 - 3*k**2\/2 - 8*k. Let m(w) be the first derivative of u(w). What is the third derivative of m(s) wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 11*q + 429. Suppose 43*w = q*w + 32. Solve 0 - w = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.18 - -7.18. Let t be (1\/5)\/((-12)\/(-8)). Let o = 30 + -24. Which is the fourth biggest value? (a) t (b) o (c) 4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m = -6*m + 210 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8274 - 0.0726. Which is the second biggest value? (a) y (b) -0.5 (c) -1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 63 - 60 = 0, 0 = -62*i + 4*l - 314 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 4. Let v be o(-5). Let k = 3 + v. Suppose -2 = -0*r - 2*r. Sort 3, k, r.\nAnswer: r, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12737 + -8726. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*i + 1055*i - 787 = 507*i + 797 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s + 175. Suppose 9 = -2*n - 4*f + s, -11 = -2*n - f. What is the greatest common factor of n and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 3. Let x be w(3). Let v be (x - -2)*55\/10. Suppose o = -5*j + 68, -2*j - 257 = -2*o - 73. What is the highest common divisor of v and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*u - 2*h - 6, 18 = u - 5*h. What is the tens digit of 5272\/u + -5 - 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -14*j - 276. Let f be p(-18). Let q be 65*((-4)\/10)\/(6\/f). What is the greatest common divisor of 52 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -478\/29 or -17?\nAnswer: -478\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(-4 + sqrt(432)*-3) + 1 + -5 + 3.\nAnswer: 11 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68671.37 days in minutes?\nAnswer: 98886772.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 389870 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 8 + -7 + 1. Suppose 5*n - 4 = w*n. Solve 0 = 5*u - 3*t - 2, n*u = 2*u - t - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3106493)\/(-35) + 594\/693 + (-4)\/5?\nAnswer: 17, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62535 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3025\/4 - 745. Let v be (-2)\/2 + 5956\/6076. Let g = -70733\/33418 + v. Find the common denominator of g and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/77223351 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 8*a + 0*a - 3*a**2 + 1 + 2*a**2. Let h(z) = 6*z + 115. Let l be h(-19). What is f(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*b**3 - 2230*b**2 - 2545*b + 13650.\nAnswer: 5*(b - 2)*(b + 3)*(9*b - 455)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = f. Suppose -2*z = 3*c - 3*z - 4, 3*z - 6 = f. Solve 20*n + c = 21*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1063 * -0.45\nAnswer: -0.047835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 4548?\nAnswer: 25\/1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 0*g - 3 - 2*g + 3 + 5*g**3 + 1. Suppose -4*h + 4 + 0 = 0. Is n(h) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16464 - 16476. Let k(r) = -4*r - 6. Let y(g) = -g - 1. Determine w*y(f) + 2*k(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(7*8\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11595 and 4098?\nAnswer: 15838770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 + 2)*(-2 + 2 + 1) + 4 - 2 + 1 + (-4 + 3 - 1)*(-1 - 3 + 3 + (2 - 1 - 4)*(-1 + 3 - 4)))*(10*j - 6*j - 5*j) as w + y*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 98*h**4\/5 - 4985316*h**3\/5 + 12680293664*h**2 + 4985316*h\/5 - 63401468418\/5 = 0.\nAnswer: -1, 1, 178047\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 35 = l + 4*l, -4*m + 2*l + 84302 - 84325 = -l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 327, 1660, 3831, 6852, 10735, 15492?\nAnswer: 21135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 2*l - 23, 0 = 2*x + 23*l - 18*l + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/126148 (b) 0.1 (c) 2\/11 (d) -1\/6 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 54*m - 168. What is j(-36)?\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 0, 3, 2 in increasing order.\nAnswer: -89, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggxaa. What is prob of picking 2 a, 1 x, and 1 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62835, 62754, 62695, 62670, 62691, 62770?\nAnswer: 62919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11762 = -2*z - 2*b, 2*b = -3*z + 14383 + 3257. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-42) - 46\/(-14). Suppose -w + l = -3, -w + r*w - 9 = -l. Suppose -24 = t - w*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 8*v**2 - 5*v - 7. Let b(h) = -3*h. Let f be b(-1). Suppose -2*x + 315 = f*x. What is the remainder when x is divided by l(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 7, 12 in decreasing order.\nAnswer: 12, 7, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 10*u**2 + 14*u + 20. Let k be q(8). Put 5, 8, k in increasing order.\nAnswer: k, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 8*l + 4. What are the prime factors of s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/52)\/((-2)\/2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14601053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 27. Calculate the least common multiple of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 3 (c) 0.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 3 - 5) + -1 + 5. Suppose 5*v + i = 1395, x*v + i - 565 = 2*i. Is 35 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 240760 or 240764?\nAnswer: 240764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 7*w**4\/2 + w**3 - 385*w - 680. Differentiate a(r) with respect to r.\nAnswer: 42*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.190818116266304105 - 1342889434.190817806266304105. Let t = -1342889366 - f. Let w = t - 68. What is w rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/8)\/((-170)\/68)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z**5 - 17577*z**4 + 595749*z**3 + 802980*z**2 - 1072284*z - 308880 = 0. Calculate z.\nAnswer: -2, -1\/4, 1, 36, 1430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkkfjkhkjkcckjvkk. What is prob of picking 1 k and 1 f?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 4. Let i be a(4). Let k(v) = 5*v**2 + v. Let s be k(-1). Suppose 3*c - 89 = -s*m, i = -m + 2. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1002100012201?\nAnswer: -1002100012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 8*m**2 + 3. Let u be a(4). Let w = u + -63. Solve 5*i = 5*o + 40, 3*o + w - 15 = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 0 + -4 - (-6)\/(-2). Put 4, o, 5 in descending order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (596\/(-447))\/((-38)\/(-3)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -594 - -593.96. Sort u, 1\/10, -2\/7, 5.\nAnswer: -2\/7, u, 1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 417*j - 836*j - 6 + 412*j. Calculate f(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.8, -4\/9, -13\/3, 2, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/(-5))\/3 - -1. Let z = 8.2 + -9.2. What is the closest to -1 in -5, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45275496 divided by -37172?\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 8. Let q(j) = 6*j - 14. Let p be q(4). Let v = x + p. Solve -4*f = 4*m, 3*m + v*f - 3 + 1 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 3, -3*y + z + 3097 - 3151 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 14*x**2 + 15*x + 4. Let s be j(15). Suppose 0 = s*o - 3942 + 394. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42559 + 21291 + 21268 - 9*p**2 + 6*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4474.44 hours?\nAnswer: 16107984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10200 is divided by 930?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 1. Let z(q) = -2*q**2 - q + 5. Suppose 86*r + 324 - 66 = 0. Determine r*d(x) + z(x).\nAnswer: x**2 - x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -366 - -634. Let x = -109 + r. Let y = 233 - x. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 = 5*z + p, -15 = -5*p. Solve z*o + 2*o = 5*d + 2, 0 = -d + 2*o - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2945.84 + -2944.84. Let j(k) = -k - 4. Let y be j(-3). Which is the third smallest value? (a) -5 (b) y (c) q (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -1, 4 in descending order.\nAnswer: 30, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -401 - -403.492. Let f = -0.112 + v. Round f to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20061 + 31012. List the prime factors of o.\nAnswer: 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**3 - 3*y**2 - 1. Let r(f) = -5*f**3 - 2*f**2 - 2. Suppose -4*w + k = -12, -32*w + 27*w + 5*k = -30. What is w*g(m) - 3*r(m)?\nAnswer: 3*m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 182*f - 209. Is m(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:04 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25834288, 51668600, 77502912, 103337224, 129171536?\nAnswer: 155005848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 1. Let b(k) = -18*k + 2. Give i(b(h)).\nAnswer: -108*h + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-110)\/(-231))\/(2 + 6\/(-9)) and 17\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*r + 3, r - 12 = -g - 5. Suppose 4*m = -g*i + 36, -i - 5*m = -1 - 28. Suppose -a + 2*x = -2*a + 10, 0 = -x + i. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -331\/4. Let x be (-21)\/(-14)*(-4)\/(-6). Is i at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1, -0.3, -5, 49.1, 28 in increasing order.\nAnswer: -5, -0.5, -0.3, 1, 28, 49.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26316878 to the nearest integer?\nAnswer: 5130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -199.8594\nAnswer: 399.7188","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 53*a**2 - 1030*a + 420. Give b(19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 1 - -7 - 17. Let v(y) = -y**3 - 13*y**2 + 2. Let z be v(b). Let r(s) = 2*s**2 - 3*s + 1. Let n be r(2). Solve n - 7 = z*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96222?\nAnswer: 2, 3, 7, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = -3*l. Suppose -5*d + 4*a = -31, d + a = 2*d - l. What is the second derivative of 3*n + 0*n**3 - 4*n + 3*n - 3*n**d wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 361.2 - 358.2. Sort -7, -3, s, 0.4, 0.3.\nAnswer: -7, -3, 0.3, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14726042 * 0.02.\nAnswer: 294520.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 176805206 to the power of 1\/3, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602 a factor of 346783338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -50. Solve 0*t + 10 = m*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/30800 and 31\/1724800.\nAnswer: 1724800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 135. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - h**4 + 0*h + (0*h**3 + 0*h**3 - h**3)*(-13 - 16 - 77)*(60673 + 239*h - 60673) to p + x*h + r*h**2 + w*h**3 + s*h**4 and give s.\nAnswer: 25333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2276, 2, -35 in descending order.\nAnswer: 2, -35, -2276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-457 + 59 - 549)*(-8*z - 7*z + 4*z + 0*z - z + 2*z + (-2 + 1 - 1)*(-1 + z + 1)).\nAnswer: 11364*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000100498 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1414 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 + 2*y**2 + y**2)*(0*y + y + y)*(-6*y - 6*y + y) to f*y**2 + x*y**3 + r*y + c*y**4 + q and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -23 (c) 3 (d) -13.9 (e) 0.4 (f) 1 (g) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Let k be 10\/(-28) - 3*(-5)\/30. What is the closest to j in -2, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1 + 1)\/(10 + -11). Let d(l) = -2*l + 1. Let j(w) = 5*w - 1. Let a(s) = v*d(s) - j(s). What is a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/27 and -35\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - -0.171.\nAnswer: -43.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*w - 958455 = -954159 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*y + 5*y - 21*y)*(-9*y**2 + 7*y**3 + 9*y**2) to x*y**3 + s*y + b + c*y**4 + v*y**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2431\/11*18\/117*4\/28.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = -15. Suppose -44 + 14 = -3*i. What is the smallest common multiple of i and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10770296 and 4038861?\nAnswer: 32310888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.7 minus 0.03?\nAnswer: 57.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 2, h: 2, j: 9, r: 3}. Give prob of picking 1 f and 1 r.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 108*q**5 - 7*q**3 + 5*q**2 - 50*q + 5. Let j(w) = -w**3 + w**2 - w + 1. Let r(h) = 5*j(h) - m(h). What is the second derivative of r(f) wrt f?\nAnswer: -2160*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -507, -1129, -1989, -3081, -4399, -5937?\nAnswer: -7689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + 2 + (-5 + -1*sqrt(343) - sqrt(343)) + -5)**2.\nAnswer: -28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1693873332.\nAnswer: 2, 3, 19, 2476423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 44 = 79*h - 54 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/20 - p**4\/6 + p**3\/3 + p**2\/2 - 3*p. Let g be s(2). Suppose -4*n - 42 = -g*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 + 67 - 21*d - 134)*(-3*d**2 - 2*d**2 + 0*d**2).\nAnswer: 105*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 2*x + 1. Let l be g(3). Suppose 187*a + 36 = 175*a + 336. Calculate the highest common divisor of a and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21794.478228 + 0.03.\nAnswer: -21794.448228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Suppose -o - u = -0*o. Suppose -x + 2 = -3*x. Put o, 3, x in increasing order.\nAnswer: o, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (3 + -2 + -7). Let q be ((-5)\/3)\/(l\/(-12)). Let v = 54\/11 - q. What is the second biggest value in v, 1\/3, 4\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1225 + 201 = 0. Suppose -5*s + 8 = -2, 4*r + 2*s = l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*q - 931*q + 435*q + 3.\nAnswer: -10*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 839580501?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 1c5a6?\nAnswer: -1c5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2131.1862602 - -0.0162602. Let g = r + 2184. Let t = g - 54. Round t to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 3) in base 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4929869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 3. Let g be y(-2). Suppose a + 3*r = 4*a - 21, 4*a + g*r = 19. Let b be a\/3 + 0 - 1. Is 1\/8 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 71*b - 42795 = 0. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -702.\nAnswer: 1\/702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2722405*b**3 - 11701*b**2 + 180?\nAnswer: -16334430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1461177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*29\/4176)\/(77\/(-28)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5892 and 432?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/15 and -89\/462666.\nAnswer: 2313330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*u + 2889, -2*v + 3*u = -7*v + 4807. Suppose 5*i + v = 2*p, 4*p + 90*i - 88*i = 1900. List the prime factors of p.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987 divided by -54?\nAnswer: -443\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -83 (b) -2\/255 (c) 3 (d) -0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/4 - v**3 + 2*v**2 - 2*v - 2. Let p be z(2). Let -1\/2*l**4 + l + 0*l**p - l**3 + 1\/2 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 - 11*c**2 + 34*c**2 + 6 - 9*c**2 - 9*c**2 + 120*c in the form k + f*c + w*c**2 and give f.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1125100*o**2 - 31625911.\nAnswer: 2250200*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2. Suppose -10*q + 14*q = 24. What is the smallest common multiple of q and w(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(228)*1)\/sqrt(12) + 0 + sqrt(19) + -2 + -5.\nAnswer: -7 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 9*s + 42. Let m = 135 - 141. Let b be k(m). Let w = -151 - -319. What is the greatest common factor of b and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 - 4*a + 1. Calculate b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1778354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 7*u = 6 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 + 1 - 5) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6722 divided by -2105\nAnswer: 6722\/2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**2\/f)))\/(f*f**(2\/25)))**26 assuming f is positive.\nAnswer: f**(-52\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 equal to 8717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 122951808 a multiple of 772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*v - 8, 5*s - 7*s - 2*v + 4 = 0. Does 10 divide s\/5 - (1296\/15)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -1287*k**4\/4 - 86*k**3\/3 + k**2 + 32*k + 3365. What is the third derivative of w(y) wrt y?\nAnswer: -7722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4581435 or 4581427?\nAnswer: 4581427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 11*b**2 - 8*b - 2. Let d be p(10). Let a = d + -10. Let y be 4\/14 - 76\/(-28). Solve a = y*i + i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*s = -1078, 4*h + 4*s - 829 = 27. Let j be -2*h + -1 + 1. Is 1\/2 - j\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950*r**2 - 49*r**3 - 944*r**2 - 949*r**2 - 16*r**3 + 2843*r**2.\nAnswer: -65*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 4, 0, 72, -1 in increasing order.\nAnswer: -6, -1, 0, 1, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (950\/25)\/76 - 21\/(-6). Let t = 3.1 - -8.9. What is the third biggest value in t, -8, r?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 45 - 45. Suppose i*t - 9*t - 32 = 0. What is the highest common factor of 112 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.9 and -0.19.\nAnswer: -1.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/17)*w*w*w**(3\/11)*w)\/(w\/((w*w*w*w**(-17))\/w)*w\/w**(5\/3)) assuming w is positive.\nAnswer: w**(-6832\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) + sqrt(600)*-2 + sqrt(600) - sqrt(1944)*1)\/(sqrt(800) - (sqrt(800)*-4*-4 + sqrt(800))).\nAnswer: 9*sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12975 and 10.\nAnswer: 25950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/262630 and 33\/52526.\nAnswer: 262630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2, -4*p - 5*d + 6 = -4. Suppose -p*c + 0*c = -4*a + 466, 3*a - 336 = -3*c. Let j = a + -79. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a factor of 846475920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5609393806065 from -17.\nAnswer: -5609393806082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -144*r - 721. Give s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2\/19, 30, -23?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) + (-16)\/6. Let c be 1\/l - (-394)\/(-6). Let k = -40 - c. Solve -q = 4 + 1, 0 = 4*u - 2*q - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/5 and 0 - (-6)\/(-44)*-6?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 - -15.2. Let s = u - 13. Which is the nearest to s? (a) -4 (b) -3\/4 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 1 k when three letters picked without replacement from {v: 1, s: 1, u: 2, d: 1, k: 1, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 - -393. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*v + 20*v + 16. Let m(a) = -a**3 + 3*a**2 + 4*a + 3. Calculate m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*(1173\/506)\/(-51)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -28*f + 15*f + 19*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 6*f - 16. Let c be (-3)\/(21\/f) - (-18)\/(-63). Suppose -v + c*v - 3 = 0. Solve -v*l + o = 5*o - 28, 3*o - 4 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213280, -213282, -213284, -213286, -213288?\nAnswer: -213290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 49*r - 55 - 55, -3*r = w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426925?\nAnswer: 5, 57077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose 3*x - 389 = q*r - 8*r, 0 = -r - 3*x + 73. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962863061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 8*x = -96. What is the nearest to -3 in 0.03, x, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 0)\/(11700\/1412). Let b = 1\/225 + v. Let q = b - 2\/13. Sort -2\/15, -2\/3, q in decreasing order.\nAnswer: q, -2\/15, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 3*a + 2*a + (-1 + 2 - 2)*(-3*a + 6*a - 2*a) - a + 2*a - 3*a + (1 + 0 - 3)*(-a - 5*a + 4*a) + 4 - a - 4 - 2*a + 2 - 2 - 2*a - 4*a + a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 23009 = 186*r - 24*r + 1052*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 113, 161, 205, 245, 281?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(3) + (sqrt(63)\/sqrt(3))\/sqrt(7) + sqrt(3))*-6 + 4)**2.\nAnswer: -192*sqrt(3) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 187?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*i + 19 + 0 = 0, 2*t - 18 = -5*i. Is t >= 2\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-12)*(-131)\/((-18340)\/(-175))\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98579624*a**4 + 2*a**2 + 17271973*a + 1 wrt a?\nAnswer: 2365910976*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 223 + 1351. Let d = z - -1657. Suppose 4*y - 9*y = -3*x - d, 5*y = -4*x + 835. Calculate the highest common divisor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 4. Let k = -12 + 15. Let p be f(k). Solve -p*o - 15 = -7*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16007 - 16003. Let a(l) be the second derivative of -1\/2*l**2 + 0 - 1\/12*l**3 + 1\/40*l**5 + 30*l + 1\/12*l**i. Factor a(r).\nAnswer: (r - 1)*(r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**9*z)*(z\/z**(-2\/3))\/z*(z**(-2\/17))**(-2\/7) assuming z is positive.\nAnswer: z**(-2963\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*w + 3*j, 4*w = -3*j + 8 + 15. Let l = -1\/250 + -247\/750. Let x = 9\/7 - 1. What is the nearest to x in -4, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**3 - 34018*q**2 + 15*q**3 + 34018*q**2.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3843\/947 less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (226\/678)\/((-1)\/(-522) - 0) and 162.\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1)**1)**(14\/11)*(p*p*(p*p*p*p**(-3\/2)*p*p*p*p)\/p*p**(-6))**26 assuming p is positive.\nAnswer: p**(171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -13. Let f = 1.2 + -0.2. Which is the closest to f? (a) -1 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/sqrt(9) - (2 + 2 + sqrt(3)) - (2 + 1*sqrt(75) + -3)**2.\nAnswer: -80 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79081 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7222, 6013, 4002, 1189, -2426?\n\"Answer: -401*b**2 - 6*b + 7629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145.2 millimeters in micrometers?\nAnswer: 1145200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17878 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-172 - -165) + 31 + 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwwr when four letters picked without replacement from {r: 2, m: 1, j: 1, w: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8684052787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 200895696 divided by 100447848?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109977 divided by -77.\nAnswer: -15711\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5*p**3 + 8 - 10 + 9*p**3.\nAnswer: 14*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60ad + 80?\nAnswer: 614d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(132\/(-6160)*20)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**3*f*z + 5*c*f - 2*c*z + 3*f*z + 8*f - 2*z wrt c.\nAnswer: 18*c**2*f*z + 5*f - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5841462 and 2948.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-8)*(-28 + 0\/2). Let h = 23 + w. Let p(s) = s**3 - 9*s**2 - s + 13. Let o be p(h). Solve -2*t = -o*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 12) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13274 is divided by 4421?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -120675 in descending order.\nAnswer: -2, -10, -120675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (-4 + -19 - (-21 - 9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -883, -917, -977, -1075, -1223, -1433?\n\"Answer: -2*d**3 - d**2 - 17*d - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2848 = 3*m - 2418, 0 = -5*m - 5*x + 8735. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 14*w**5 - 6926*w**4 + 203974*w**3 + 739454*w**2 + 194460*w = 0.\nAnswer: -3, -2\/7, 0, 35, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67\/183 - -2\/61. Let g be (-1 + 107\/32)*(0 + -4). Let c = g - -109\/8. Which is bigger: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 12*i - 747. Calculate the remainder when i\/3 - 1\/((-4)\/4) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2377, -16, 6, -1 in decreasing order.\nAnswer: 6, -1, -16, -2377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -739*v + 5*v**2 - 2*v**3 - 2 - 1 + 746*v + v**3. Let g be y(6). Sort -5, g, -4.\nAnswer: -5, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let f(j) = -50*j**2 + 35. Let c be -2*(5\/(-2) + 2). Let w(h) = 2*h + 3 - 3*h**2 - c - 2*h. Let r(o) = -2*f(o) + 35*w(o). Determine r(d(m)).\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 - 5*d - 5. Let m be y(-4). Suppose 0*v = -2*v - 2*s + 58, s = v - 27. Let t = v + m. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3.7, -1\/4, 38, 16, 0.3, -2\/29, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5394051, 10788105, 16182159?\nAnswer: 21576213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) - (-5 + 111\/21). Suppose -2*a - 5*d + 17 + 6 = o, -5*a - d = -23. What is the smallest value in -8, a, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 165271*t - 2. Let u(f) = -9*f**2. Calculate j(u(p)).\nAnswer: 324*p**4 - 1487439*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 29*q**2 + 6*q + 4. What is the remainder when c(-2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89960+-23259.458\nAnswer: -113219.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 131 = 5*w, -54 = -487*l + 492*l - 64 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 100680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*j + 1176*j + 924*j - 151487 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - p = 25, 4*a - p = -3*p + 34. What is the second derivative of -1348*k**5 - k - a*k + 1358*k**5 wrt k?\nAnswer: 200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bblbfmfsmlmflffmsfss. Give prob of picking 2 m.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15594089389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 + -f?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6.76, 1\/4, -36, 4 in ascending order.\nAnswer: -36, -3, 1\/4, 4, 6.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2527 - 2526.3. Which is the smallest value? (a) o (b) 0.2 (c) -3\/10 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i + i**3 + 55*i - 111*i + i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from qylfylqyqyyfq.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/4 + 7*o**3 - 25*o**2 + 24*o = 0. Calculate o.\nAnswer: 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(432) + -1 - sqrt(432)) - (sqrt(432) + 3 + (1 + sqrt(432) - sqrt(432))) - (0 + sqrt(432) + 1 + sqrt(432) + sqrt(432) + 1 + -3))*6)**2.\nAnswer: 31104*sqrt(3) + 251748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccjckjrkr. What is prob of picking 1 j, 1 r, and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.409666 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.09, 9, -219?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-40))\/((4\/15)\/(-4)). Let r(s) = -2*s - 6. Let u(h) = -3. Calculate q*u(n) - 3*r(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367471.053 rounded to the nearest 1000?\nAnswer: 367000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 95?\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 16 = 7*y. Let p be (-143)\/5 + (-1)\/(-5)*y. Let g = 42 + p. Calculate the remainder when 25 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-462)\/(-40396356)*-354*((-4)\/2)\/1?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(-72)\/37296*4\/3?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(112)*1 - (3 + sqrt(112)*-2 + sqrt(112))) + (3*(sqrt(112) + sqrt(112) + -1) - sqrt(112)) + -3 + -2 + -5)**2.\nAnswer: -512*sqrt(7) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-11)*y**(2\/23))**3 assuming y is positive.\nAnswer: y**(834\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.24 (b) 9 (c) -2\/5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d. Suppose d = -2*s + 8 + 2. Suppose -s*h - 5*n = -260, h + 11*n - 40 = 6*n. What is the greatest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 7:44 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 15 + 1 = 0. Let i be b\/3*(6\/4 + 0). Solve 3*v - 13 = -i*l, -20 = 4*v - 3*l - l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2967282 is divided by 1685?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/9 - 716*o\/9 = 0.\nAnswer: -358, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + sqrt(396)*-2)**2 + sqrt(396) + (((4*sqrt(396)*-2)**2 - sqrt(396)) + sqrt(396) - sqrt(396)))*-4*-4.\nAnswer: -1292976 + 3456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 + 1079. Let x = n - 620. List the prime factors of x.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230404 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 18}. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33233 is divided by 877.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n = -32*n - 120. What is the smallest common multiple of n and (-12)\/9*3*14\/(-8)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*x - 253 - 5996 = 66*x + 1299 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**2 - 1396*k + 79958. Give q(102).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3385*j + 3067*j = -1999 - 863 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -271 + 398. List the prime factors of x.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 600*h + 249. Let m(f) = -601*f - 299. Determine 5*m(d) + 6*r(d).\nAnswer: 595*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 122608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 15 = 6*h. Suppose 0 = -h*a - 3 + 27. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 + 2. Let j = -0.1 + -1.3. Let p = j - k. Is 1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -33065382.\nAnswer: -3306538.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/5*-7*(-20)\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4634 = f - 4*m, m = 5*f - 4*m - 23230. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/13747146 and 25\/964712.\nAnswer: 54988584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/35 in 47, 0, 924?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-115)\/(-4)*(-992)\/(-80). Let z = a + -383. Find the common denominator of -55\/16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4 = -2*m + 3*m, 2*q = -5*m - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24629*d - 4870*d - 1364876 = 641421 + 937794 for d.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**4*v - 3495*s**4 + 2*s**2 - 15052*s*v wrt s?\nAnswer: -24*s**2*v - 41940*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45638 and 2888?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j + 5. Let v(y) = 9*y - 9. Suppose 0 = -5*l - 3*m - 43, 2*l - 5*l - 4*m = 17. Give l*h(q) - 6*v(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*-3 - sqrt(84))\/sqrt(12))**2 + sqrt(7) + (-3*sqrt(7)*-1)**2.\nAnswer: sqrt(7) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22397.54 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from sxxlxlxsxss?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14070 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 18, k: 2}. Give prob of sequence lll.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -200, -2184, -7556, -18008, -35232?\n\"Answer: -282*y**3 - 2*y**2 - 4*y + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 248*(-12)\/(-96)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255)\/300 - 6\/40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {r: 3, n: 1, t: 8, b: 3, c: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 882, 885, 900, 933, 990?\n\"Answer: s**3 - 4*s + 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + 7 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5\/50)\/(2\/(8\/2))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iecycyeidedoicoc. What is prob of picking 1 d and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.557 + 0.077. Let s = -1.7 - t. Let f = -0.22009 - s. Round f to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1281 and 89785290.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(21\/(-70))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -8*y + 7*y. Suppose 3*s + 4*v + 20 = 0, s - 4*v - 20 = -y*s. Suppose s = i - 2, 0 = x - 2*i + 6*i - 17. Which is bigger: 12 or x?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.18 + -0.18. Let d = 13 - 6. Let w = j - d. Put 1\/4, w, -1\/3 in ascending order.\nAnswer: w, -1\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -207183 + 46?\nAnswer: -207137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**3 + 67*q**2 - 44*q - 135. Let m(p) = -7*p**3 + 45*p**2 - 29*p - 90. Let s(u) = 5*k(u) - 7*m(u). Calculate s(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:58 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 233456145?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 9:01 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9230?\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557505020?\nAnswer: 2, 5, 27875251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 2 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 5*n + 5. Let a be n\/4 - 41\/(-4). Let v = a - 8. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -708767, -708770, -708773?\nAnswer: -708776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f - 10*f = -90. Calculate the highest common factor of f and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -43. Let w(i) = -i**3 + 3. Let p(a) = -a**3 + 1. What is z*p(k) - 2*w(k)?\nAnswer: -3*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 6*o - 3*o - 21*o.\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 610 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f + 6. Let z be y(-4). Let x be 2\/(z\/1329 - 0)*-1. Let r = x - 277. List the prime factors of r.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.3, -3\/2, 57, 91?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 13*u**3 - 2*u - 12*u**3 - 8 to d*u + l + r*u**3 + p*u**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-87)\/5)\/(13 - 28) and 49\/675.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.8, 3\/4 in decreasing order.\nAnswer: 5, 1.8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*u + 474 = -0*u, 0 = -u + 3. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218699 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26721427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*v + 280 + 194 = 0. Sort -1, v, 160 in descending order.\nAnswer: 160, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121644 divided by -5?\nAnswer: 121644\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6055116 from -965.\nAnswer: -6056081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 54.6, -5, -1\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28351*b*w**2 - 1855*w**2 + 2*w - 1 with respect to b.\nAnswer: 28351*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 217*j*u + 2*j*v - j - 2*u*v - 3*v - 13 wrt u?\nAnswer: 217*j - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -146851.27849 to the nearest integer.\nAnswer: -146851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.035 - -0.9601. Let q = i + -11.9251. Sort 2, -1, q in increasing order.\nAnswer: q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*n - 31. Calculate the highest common divisor of n and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62\/9 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 317*a + 1882. Give n(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6363 + -2.5507. Let q = 1.5 + 1.7. Let c = b + q. What is c rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83206954?\nAnswer: 2, 41603477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 747970 less than 19231?\nAnswer: -728739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 965.6?\nAnswer: 965.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/(2\/(-12)). Suppose -h + 0*h + 3*w + 16 = 0, 3*w - x = -4*h. Let v(c) = -6*c + 4. Calculate the least common multiple of v(-3) and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18090 divided by -3618?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 + 32 + 7*j**2 + 17*j**2 + 13*j**2.\nAnswer: 12*j**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*p - 3593 = -2865 + 4102 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8043658 millennia in months?\nAnswer: 9652.3896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28553096?\nAnswer: 2, 11, 13, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66) - (sqrt(66) - sqrt(66)*3))*1 + sqrt(66))\/((sqrt(12) + sqrt(36)\/sqrt(3))\/sqrt(2)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 38*u**4 - 66*u**4 + 29 - 65*u**4 - 23 + u**2 in the form v*u**2 + p*u**3 + x + t*u**4 + o*u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2180616*n**5 + 3*n**2 - 2*n - 20053.\nAnswer: 130836960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -28. Let x = n - -15. Factor 15*k**4 + 0*k + 6*k**x + 15*k**3 - k**5 + 5*k**2 + 0*k.\nAnswer: 5*k**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -474 or -0.56?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + x - 3*x)*(-4*x**2 - x**2 + 4*x**2)*(0 - 2 - 3).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 119?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10240422 greater than or equal to -10240425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (sqrt(275) - 1*sqrt(275)))*-3 + 0.\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = -961 + 1031 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297528*j**3 - 297524*j**3 - 1 - 1.\nAnswer: 4*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1539)\/342 - 2*(-7)\/(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1050*z - 992*z - 465*z as f*z + p and give f.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v + 75 - 37 - 37.\nAnswer: -24*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10450*m**2 - 1620*m**2 - 1546*m**2 + 616*m**2.\nAnswer: -13000*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/14 and -35\/10234562.\nAnswer: 71641934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*s + 48*s + 41*s - 1.\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2 + 0 - 1 + 86*h + 1. Let f(a) = -86*a - 1. Let x(v) = -6*f(v) - 5*u(v). Is x(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 4*l**2 + 21*l - 49. Let t(x) = -2*x + 6. What is the remainder when t(-9) is divided by o(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2543 + 2544. Let x = -4 + 4. Let n = 0.1 - x. Sort c, n, 2 in increasing order.\nAnswer: n, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(-2*f**2 + f - f) + (-3*f + 4*f + 4*f)*(f - 2*f + 2*f) + (3 - 4 + 2)*(-f**2 + f**2 - 2*f**2))*(-5 - f**2 + 5).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/27 + 1\/27. Which is the closest to -0.1? (a) -0.4 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -17. Let r = 15.56 - j. Let i = 0.55953 - r. Round i to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -13*f**2\/2 - 3*f + 1. What is the units digit of y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/25 + -13\/75. Which is the nearest to 0? (a) -2\/3 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Suppose 2*t - 2 = -v, -v - 2*t + 6*t - 10 = 0. Let r be 1 + (v - 1 - -6). Let k(n) = -r*n + 3*n + n + 2*n. Calculate k(p(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1993 - 867 + 674 = 9191*u - 9416*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3, -0.966, -571?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -506\/3 - -85508\/507. Let p = -398411\/5 - -201996097\/2535. Let q = h + p. Is q at most 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:35 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 974 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 216580, 216728, 216966, 217294, 217712, 218220, 218818?\n\"Answer: 45*i**2 + 13*i + 216522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**2 - 2*b + 1321. Let o(r) = -5*r + 5. Determine -6*o(y) - 17*u(y).\nAnswer: -4*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2218 or 0.174?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - w**4 - 1 + (3*w**3 + 2*w**3 - 4*w**3)*(3 - 3 - 2*w) - 4*w**4 - w**4 + 4*w**4.\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63188 - 46853 = -297*k for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3995330 is divided by 665888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 3:33 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-7 - (6 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3825)\/27)\/(16\/6 + -3). Calculate the highest common divisor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 1456.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/4)\/((405\/6)\/9). What is the fourth biggest value in 1, 1\/4, 0.7, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 4*b**2 - 2*b - 2. Let q(t) = -3*t - 34. Let m be q(-10). Let a = -5 - -12. Let r = m + a. Calculate z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1340 + -242221?\nAnswer: -244111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*f + 506, -48*f + 47*f = -j + 253. What is the nearest to 2 in j, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-183)\/27 - (-4)\/18. Suppose -y - 17 = -5*o + 6, -o + t*y = -13. Solve -5*i - 5 = -o*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7753, -7767, -7777, -7783, -7785, -7783?\nAnswer: -7777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (-18)\/(-3))*-97. Let g be s\/220 + 14\/(-77). Let b = g + -61\/30. Is b less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0.2 in decreasing order.\nAnswer: 2, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose d = 4*c - 2*c - 110. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 168, 488, 1020, 1812, 2912, 4368, 6228?\nAnswer: 8540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-3\/4))\/x*x*x\/x**(-6))**(5\/19) assuming x is positive.\nAnswer: x**(165\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*1*-6 + sqrt(114)\/(sqrt(60)\/sqrt(10)) - (sqrt(152) + 3*sqrt(152)*1)\/(sqrt(72) + -1*sqrt(72) - sqrt(72)))**2.\nAnswer: 2299\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42, 15, -52, -177, -378, -673?\n\"Answer: -3*d**3 - 2*d**2 + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 225? (a) -32.3 (b) 23 (c) 0.5 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25493, -25498, -25503, -25508?\nAnswer: -25513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2268 - 2268.1. Sort u, -6, -1\/4, 2\/3.\nAnswer: -6, -1\/4, u, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:30 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 2. Let j be i(2). Suppose -j*k - 3 = -2*n + 3, 0 = -2*k + 4*n - 12. Solve k*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(3 + 2 - 3)*(-292*c + 1 + 126*c - 38*c) to g + d*c and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1636, -6605, -20094, -46363, -89672, -154281, -244450, -364439?\nAnswer: -518508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 62. Let n be (-9)\/(-60) + (-2)\/(-8). Which is greater: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17734 or -17818?\nAnswer: -17734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285646 by 134.\nAnswer: 142823\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/263725 and 69\/35226125?\nAnswer: 246582875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let h(i) be the first derivative of i**5\/10 + 4*i**3\/3 + 5. Let m(b) be the third derivative of h(b). Give x(m(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*v + 668 + 772. Let m = -27 - -52. Suppose -m = -2*w + h - 6*h, -5*w = -h - 49. Calculate the greatest common factor of w and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtrgrzrjztrjzttjzrz. What is prob of picking 1 z, 1 r, and 1 t?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -3\/13 (c) -563 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 6010162\/43 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -13*q - 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1267*c - 5263. Calculate b(-4).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.273 - 1.3311. Round t to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066*z = 1122*z - 1736 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1276)\/(-464) + 2 + 11\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 829776 by 34574.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/5 - 116*n\/5 + 23 = 0.\nAnswer: 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 7*t**2 - 2*t + 45. What is the lowest common multiple of r(0) and 459?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 2*k**2 + 2. Let d = -25 - -25. Suppose m + d*m - 8 = -4*a, 4*m - 13 = 3*a. Suppose 7 = -3*c + a. Determine s(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(96*d + 1 + 2 - 99*d).\nAnswer: -3*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -374.9741 + 375. Let u = -3.9741 - s. Which is the closest to 2? (a) u (b) 0.04 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d**4 + 2*d**4 + d**3 - d**2 + 4*d**4 + 0*d**4 + 2*d + 2 as l*d + k*d**3 + b + p*d**2 + g*d**4 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828561454 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/3 + 6448*b - 38696\/3 = 0. Calculate b.\nAnswer: -9674, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 42 = 5*w. Suppose 2*n = w*n - 3. Let y be 0\/(-4 + n) + 4. Solve y*v + 12 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. What is the third derivative of -5*t**2 + t**4 + 6*t**2 - 4*t**j wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = 4*n, -4*n + 326 = 16*b + 178 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 532950 and 9600?\nAnswer: 34108800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvfzvvvxvvuxxzx. What is prob of picking 1 f, 1 z, and 1 x?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**8\/2240 - n**6\/240 + 7*n**4\/24 - 8*n**2. Let r(y) be the second derivative of o(y). Factor r(g).\nAnswer: 3*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, -3, -5, 9, 3 in descending order.\nAnswer: 9, 3, -3, -5, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-1)\/((11\/(-18))\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2. Let n(w) = 3*w - 2. Let i be 28\/(-2)*3\/(-6). Let j(f) = 10*f - 7. Let u(y) = i*n(y) - 2*j(y). Determine z(u(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 < -2197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, f: 3, h: 2, q: 2}. What is prob of picking 1 q, 1 o, and 2 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 2186240*t - 238982266880.\nAnswer: -5*(t + 218624)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -67a1b?\nAnswer: 67a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeiieeeieieee. Give prob of picking 3 e.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-24)\/(-14)*14\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752995431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 131655?\nAnswer: 394965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**3 + 13*b**2 - 3*b - 2868. Let k(u) = -u**2 - 9*u + 1. What is -8*k(g) - 3*p(g)?\nAnswer: -g**2 - 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005993 rounded to 6 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 12*u**2 + 76*u**3 - 147*u**3 + 1 + 74*u**3 - 18*u**2 - u to the form x*u**3 + g*u**2 + m + w*u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035637 rounded to four dps?\nAnswer: -0.0356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4383377 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 21363*g - 810*g**2 - 21363*g as c*g**2 + a + p*g and give c.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -18. Let m = 1 - 0.7. Which is the third biggest value? (a) m (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 15570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpppppppkkppx. What is prob of sequence kkp?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10201 = -j, 0*i + 4*j + 4084 = 2*i. Round i to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 2\/1185 (c) -0.05 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)*n**(-2\/11)*(n*n**5)\/n**(-2\/49) assuming n is positive.\nAnswer: n**(1002\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4284880 divided by 20\nAnswer: -214244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16125112 at most as big as 16125104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmupgih. Give prob of sequence gp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6743 + -2463. Calculate the greatest common factor of z and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 2, n: 11}. Give prob of sequence ytt.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1011*m + 8138. What is the remainder when 40797 is divided by j(8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780732 is divided by 3164?\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*s + 12, d + 4*d - 3*s = -55. Let k = -4 + -2. Let n = k - d. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + -1 + (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 103.7 and 19?\nAnswer: 84.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77521*n*v**4 - 2185*n*v - 3*v - 2 wrt v.\nAnswer: 930252*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*r + 194 + 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-5))\/((-8)\/(-20)). Suppose -j + 4*b - 73 = 0, 3*j + c*b + 83 = -166. Is -4*(j\/12 - -2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, f: 1, a: 1, u: 1, w: 2, j: 1}. Give prob of picking 2 w and 1 j.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*x. Put -5, -3, x in descending order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 154367109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 - 0.3. Which is the second smallest value? (a) m (b) -1 (c) -0.6 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 4*a - 3. Let p be x(-6). Solve -p*n = -7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50694, -101338, -151938, -202494, -253006, -303474?\n\"Answer: 22*n**2 - 50710*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95399 - 39525. What are the prime factors of h?\nAnswer: 2, 7, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 12964.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8384994073 and -4.\nAnswer: -8384994077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -40.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -101. What is the remainder when 28 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -84. Calculate the remainder when d is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 126? (a) -2\/7 (b) -32 (c) 0.2 (d) -1 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-2)\/sqrt(12))**2*-3 - (-4 + (sqrt(4) + (-2*sqrt(12))\/sqrt(3))\/sqrt(2)).\nAnswer: -92 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -0.4 (c) -2\/3055 (d) -65 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 3 + 3)*(4 - 4 + 3*b**2) + 0*b**2 + 3*b**2 - 4*b**2.\nAnswer: 59*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -197\/5, -36\/53 in descending order.\nAnswer: 4, -36\/53, -197\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s + 20*s - 7*s + 8*s + 144*s.\nAnswer: 195*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773677235?\nAnswer: 5, 383, 404009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**3 - 11098*k**2 + 7*k + 7. Let d(p) = -38*p**2 + p + 1. Let c(r) = -7*d(r) + f(r). Factor c(s).\nAnswer: -4*s**2*(s + 2708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43484 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -12. Let g = i - -8. What is the third biggest value in g, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08906*-39.62\nAnswer: -3.5285572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3422 or -3394?\nAnswer: -3422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 333045345 (base 6) in base 13?\nAnswer: 132c506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3370 and 204097984.\nAnswer: 1020489920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 times 0.04?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7364407.\nAnswer: 7364407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/15 + 436*b**3\/3 + 2176*b**2\/5 + 6524*b\/15 + 2174\/15.\nAnswer: 2*(b + 1)**3*(b + 1087)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-72) - (-1)\/(6\/4). Let k be 2\/3 - 10\/42. Let d = -2 + 5. What is the biggest value in f, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 4*m - 57*n + 54*n, -m + 4*n = 4 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -10 (c) 1\/3 (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 1786?\nAnswer: 177b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8*1)\/(-161*(-23)\/(-322))?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-2 + 1 - 4*u + 2*u)*(-5 - 2 + 1).\nAnswer: 24*u + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 910597, 1821346, 2732095, 3642844?\nAnswer: 4553593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.9 + 0.9. Which is the closest to -2\/3? (a) 2 (b) x (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268 * 12.66.\nAnswer: -3392.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**5\/20 - 7*h**4\/6 - 55*h**3\/6 + 484*h**2 - 361*h. What is z in c(z) = 0?\nAnswer: -8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 5*u + 7. Calculate the common denominator of 103\/244 and u\/(-8)*20\/90.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*w**2 + 2 + 9*w**2 - 10*w**2)*(2 - 2 - 2*w**3) + (-2*w**3 - w**2 + w**2)*(-4*w**2 - 2 + 2) - 3*w**5 + 2*w**5 + 2*w**5.\nAnswer: -93*w**5 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-165)\/(-3) + 1\/(-1). Suppose -36 = -3*a + a - 3*y, -3*a + r = -2*y. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.1 - -5. Sort 2, 0.2, -3, t.\nAnswer: -3, t, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 6, l = 4194*p - 4191*p for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52981624 not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 20, -2*f + 6 = 5*b + 24. Let k be b\/(-5) - (10\/25 + 1). Sort 0, 34, -5, k in increasing order.\nAnswer: -5, k, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 45 = 75 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-five quarters of a litre?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 4*j**2 - 3*j - 2. Let r be d(-2). Let m(h) = 43*h - 287. Let s be m(7). Let v be 6\/(6\/1) + s. Solve g + r*g = v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = 74*l - 254 + 72 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33\/4? (a) 3 (b) -104 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*((-13524)\/24)\/23\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12 = 6*d, 2796985*d - 2796982*d + 5*q + 34 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 1. Let b be o(1). Suppose b = -4*h + 16, -2*x = -x - 4*h + 16. Suppose 2*s - 4*l + 2 = x, l = -0 + 3. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.38 or 6?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1766.65 + -1771. Round p to one dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 42. Solve 0 = -4*o - y + 6 + 10, 4*y - l = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 2, m: 5}. What is prob of sequence mze?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:56 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by 310?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**3 - 10668*t**2 - 5689312*t - 66728640 = 0.\nAnswer: -445, -12, 3124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 0.5 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52\/156 + (-40)\/(-6). Let b = 0.32 - 0.42. What is the nearest to b in -4, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -912 + 302. Let w = -610 - r. What is the nearest to -27 in 1, w, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545811 != 545883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i. Let s be l(-2). Suppose 0 = -s*y - 0*y + 8. Suppose -y*g = -3 - 1. Put 0.5, g, -5\/2 in ascending order.\nAnswer: -5\/2, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-24) + -6 - -6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0)\/(-4) - 45\/(-36)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 3:44 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(468) + 1 - sqrt(468) - -3*(sqrt(468) + -2*sqrt(468)).\nAnswer: -18*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:20 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 15\/2, 83, -1, -2 in increasing order.\nAnswer: -2, -1, 15\/2, 83, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, n: 2, b: 2}. Give prob of sequence rbb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*9*4\/(-6). Let g(r) = -r**3 + 5*r**2 + 4*r - 20. Suppose -400*z + 12 = -397*z. Let c be g(z). What is the highest common factor of c and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3050204 (base 7) to base 3.\nAnswer: 200112202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22568\/8680*430\/52?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19426 + 0.4\nAnswer: -19425.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -7 - -10 - 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l + 40*l - 42*l = -702 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 12*f**2 - 48*f - 8. What is b(15)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -791 divided by 1\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -a - 2. Suppose i - q - a = 0, 3*q - 10 = -2*q. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x + 5*x + 19 + 106 + 6*x + 6*x.\nAnswer: -x + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 100001100111111 (base 2) to base 12\nAnswer: 9b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(2\/17)*t*t\/t**(5\/2)*t*t**(-11)\/(t**(-7)*t) assuming t is positive.\nAnswer: t**(-123\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssssszssssszs. What is prob of picking 3 s?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 greater than -20273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -450366?\nAnswer: 450363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 166\nAnswer: -33\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282.5 rounded to the nearest 10?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.2 - 0.2. Let w = s + -41.8. Which is bigger: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 74*y**2 + 5*y + 3. Let u(b) = -2*b**2 - b. Determine -q(w) - 6*u(w).\nAnswer: -62*w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 6877244?\nAnswer: -6877239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-10) - 18\/(-90). Solve -2*z - 20 = 5*q, 0 = a*q - 0*z + z + 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154\/3 - 51. Let h(f) be the first derivative of 5 + i*f**3 + 1\/4*f - 1\/2*f**2. Factor h(m).\nAnswer: (2*m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259.57 less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/13 + 748256*v\/13 + 69985880192\/13 = 0 for v.\nAnswer: -187064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = b - 3 - 4, j - 4 = -2*b. Suppose m + 2*x - 2 = 6, 3*x + 2 = j*m. Suppose t + m = 122. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123165600.2 to the nearest 1000000.\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*s + 1387 - 1401, s = 3*j + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 105 + 1\/12*d**4 + 17\/9*d**3 + 19\/3*d - 37\/6*d**2. Let h(w) = 0. Calculate w.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 = -10. Let g(o) = 10*o + 26. Let i(f) = 3*f + 9. Let k(w) = z*g(w) + 7*i(w). Let j be k(9). Solve 3*q + 2*h + j = -3*h, 4*q - 4 = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13422 and 80532?\nAnswer: 80532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(4320)*-3 + sqrt(4320))\/sqrt(6) + (-3*((sqrt(45)*-2 + sqrt(45) - sqrt(45)) + sqrt(45)))\/sqrt(9))**2.\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/532 - (-116)\/(-228) - (-118)\/6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148.6*0.01.\nAnswer: -1.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let d(f) = f**3 + 11*f**2 + 11*f + 8. Let u be d(-10). What is the closest to -2 in u, -0.2, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/10 - 594\/(-30). Solve -3*i = 2*a + o, 2*i + 0*i + 6 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 5 + -11 + 7 - (9 + 96)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3142, 2386, 1646, 928, 238, -418?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, m: 5}. What is prob of sequence mll?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -40*l**7\/7 - 121*l**3\/6 - 361*l. Find the second derivative of w(d) wrt d.\nAnswer: -4800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 2*r - 2. Suppose 2*p - 14 = 4*l, 12 = 3*p - 4*l - 5. Suppose p*s + 20 = 11. What are the prime factors of i(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-5 - -9) - 2\/(-1). Suppose 4*p - 202 - 450 = v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*a + 11 = 5*a, 0 = 2*c + a - 31. What is the units digit of (20\/c)\/(1\/24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 12*s**2 + 7*s + 7. Let r(y) = 6*y**3 - 36*y**2 - 22*y - 20. Let b(t) = 14*f(t) + 5*r(t). Find the second derivative of b(j) wrt j.\nAnswer: 12*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 10*g**2 - 2*g - 5. Determine d(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 269 + 276 = b, -2*g - 3*b = -7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 23160000 to the nearest 100000.\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*d - 1, 0 = 5*k + 3*d - 9 - 20. Let w be (-17)\/(-8) - (-11 - 178\/(-16)). Find q such that 0 + 3\/2*q - 3\/2*q**3 + 3\/2*q**w - 3\/2*q**k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1)\/(-2))\/(33\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = 752 - 796. Which is the closest to f? (a) -1 (b) -13 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 + 16*o**4 + 9252*o - 18466*o + 9242*o - o**3 - 1 as q + j*o**3 + x*o + f*o**2 + a*o**4 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 654, 1227, 1810, 2403?\n\"Answer: 5*n**2 + 558*n + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.28 - 4.72. What is the nearest to -0.2 in -0.2, 1, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6036 + -4.321. Let d = 1.79019 + n. What is d rounded to three decimal places?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15580 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1210389\/6)\/(-1))\/((-10)\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 192946 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -162 (c) 11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -19481*g - 273658. What is h(-14)?\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + 1 + 1)*-4*-6)**2.\nAnswer: 13824*sqrt(19) + 396288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -34. Suppose 5*d = -2*o + k, -4*d + 1 + 15 = -3*o. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by 30344?\nAnswer: -33\/15172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000804 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.204016 minus 0.21?\nAnswer: -0.414016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 45*l**3 - 11*l**2 + 5*l. Let n(u) = -15*u**3 + 4*u**2 - 2*u. Let q(s) = 11*n(s) + 4*p(s). What is the second derivative of q(i) wrt i?\nAnswer: 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17.19, -157, 0.05, 1\/2, 2?\nAnswer: 17.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.063151 to 3 dps.\nAnswer: -2.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b03c (base 13) to base 7\nAnswer: 130415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 53998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*u - 88340 = 1148010. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264901 by 1.\nAnswer: 264901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8856 + 12?\nAnswer: 8868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 271 - 194. Calculate the highest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 318\/7 + -2848\/63. Which is the smallest value? (a) -1\/4 (b) w (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2754) + sqrt(2754)*-1)\/(sqrt(32) + sqrt(64)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -m + 3*t - 2, -t = 2*m. Let q = m - -47. Suppose 9 = -w - 2*n - n, -4*w + 5*n = -q. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + c. Let q be (-39)\/52 + 22*7\/(-8). Let t be v(q). Let r = t - -695. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -772e?\nAnswer: -7729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 10*j + 19. Let k be q(-4). Suppose 0 = a - 3 - 0. Let g = a + 0. Put g, -2, k in increasing order.\nAnswer: k, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -5\/4 (b) 4 (c) 586\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(-3 + (0 + sqrt(243)*4 - (-4 + sqrt(243)*-1))))**2.\nAnswer: 1080*sqrt(3) + 54691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219 + -212. Suppose 16 = -k - 4*j, -k - x*j + 4 = -8*j. Solve o + 6 = -3*a, -2 = a - k*o + 3*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 + 13*n**2\/4 + 57*n\/2.\nAnswer: -n*(n - 19)*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2029484840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 671679, 671613, 671513, 671379, 671211, 671009?\n\"Answer: -17*f**2 - 15*f + 671711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*z + 4*f + 30, 3*z - 3*f = 12. Let t(m) = -238*m**3. What is the tens digit of t(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 865 = 578. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 0.145.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28c (base 15) in base 7?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2 + 3\/2. Suppose n - 2*n**4 - i*n - 3*n**2 - 3*n**2 - 6*n**3 + 0*n = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31356686 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 + 0.38. Let g be 16\/6 - 3316\/19896. What is the closest to 0.1 in -1, p, -0.01, g?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*d - 41*d - 15*d.\nAnswer: -53*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + w + w)*(-13*w - 30*w + 9*w).\nAnswer: 68*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.65447ug in milligrams?\nAnswer: 0.07365447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1554\/(-189))\/((-16)\/(-3)*(-14)\/(-56)). Are b and 1.18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + m**2 - 2*m**4 + (-m + m - m)*(5*m**3 - 4*m**3 + m**3) + 4*m**4 + 0*m**4 - 5*m**4 + (-6 + 4*m + 6)*(-2*m**3 + 4*m**3 - m**3).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(4))\/sqrt(5) + (sqrt(175) - (sqrt(175) - (sqrt(175)*-2 - sqrt(175)))**2 - sqrt(7)).\nAnswer: -2800 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -985773 + -12292\nAnswer: -998065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000084998 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -513, -506, -493, -474?\n\"Answer: 3*w**2 - 2*w - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 2*n + n)*(4 + 6 - 5)*(0*n - 2*n - n) to the form d + s*n + b*n**2 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 23 = -2*l + y, -4*l + 3*y = 25. Let u(m) = -6*m + 9. Calculate the lowest common multiple of u(l) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*b**5 + 78*b**3 - 78*b**3)*(-4 - 3 + 3).\nAnswer: -52*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 > 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -544206595574\nAnswer: -544206595580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:41 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16963344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:23 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119782 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 678493*u**3 - 2*u**2 + u. Let j be 1 + -4 + (6 - 2). Let t be c(j). Let g = t + -1158492. Round g to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 l when four letters picked without replacement from llpllllpllllllllpl.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 - 4*a + 2. Let f be o(-1). Let b(n) = -4*n**2 + 11*n - 14. Let q(m) = m**2 - 2*m + 3. Calculate f*b(p) + 11*q(p).\nAnswer: 3*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12533 is divided by 53.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12237?\nAnswer: 3, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 245 - -52. What is the smallest common multiple of g and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21744782 divided by 2\nAnswer: 10872391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 491289769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 41444.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 0 + -3 + 1)*-3)**2.\nAnswer: -288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 526*x - 28855. Determine l(185).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*n**4 + 3*n**3 - 140*n**2 + 2*n - 626036 wrt n?\nAnswer: -144*n**3 + 9*n**2 - 280*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 7, 3, -4.\nAnswer: -9, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57523 - 25942911\/451. Calculate the common denominator of k and 19\/10.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j - 245*j - 15 - 12 + 54 - 27.\nAnswer: -285*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 11*h + 45. Let b be r(14). Suppose -2*k - 30 = b*k. Let x(j) = -3*j + 6. Determine x(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 28*l - 14687 = 31*l, 2*l = 4*k - 14682. List the prime factors of k.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*l + 9 = 0, 3*c + 1197 = -l + 1192 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)*c*c*c**(-4\/5)*c*c)\/(((c\/(c\/c**(-6\/13)))\/c)\/(c\/((c**(-1\/8)\/c*c)\/c)*c)) assuming c is positive.\nAnswer: c**(4439\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2302724, -2302708, -2302680, -2302634, -2302564?\nAnswer: -2302464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/4)\/v)*v)**11\/(v**(4\/5)*v**7)*((v*v**2\/v)**(2\/107))**25 assuming v is positive.\nAnswer: v**(50043\/2140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -40 + 6756 + -6801?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 168?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t**3 - 52*t**2 - 6*t + 32. Calculate p(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 53*g**2 + 59*g - 66. Let c be o(26). Calculate the highest common factor of 144 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 13*o**6\/720 + 41*o**5\/120 - o**4\/2 + 43*o**2. Let f(c) be the second derivative of i(c). What is the units digit of f(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s**3 + 1352*s**2 + 384*s = 0. Calculate s.\nAnswer: -48, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 1, i: 5, h: 7, w: 3}. What is prob of sequence aa?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.00175 - 0.002. What is p rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 11:36 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a hour in seconds?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*t + 1\/2*t**3 + 9\/2*t**2 + 8.\nAnswer: (t + 1)*(t + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -2.08. Suppose 0 = 5*h + 3 + 2. What is the nearest to h in j, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1334 (base 9) to base 5\nAnswer: -13003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/40407336 and -19\/97218.\nAnswer: 444480696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 4*m**2 + 22*m - 25. Let c be w(6). Let n be -6 - ((-10)\/c - (-152)\/(-28)). Put n, 35, -7 in descending order.\nAnswer: 35, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -c + 14, -5*c - 5*t + 6*t = -6. Suppose -5*s + c*w + 1790008 = 0, -3*w = -s + 5*s - 1431988. Round s to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13123221 (base 4) to base 11.\nAnswer: -20964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/20 + (-1)\/5. Let i(d) = -d**3 + 4*d**2 - 2*d - 4. Let g be i(4). Let b be 2\/g - 17\/(-84). Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-1)\/207) - 3. Let v = 379 - x. Let l = v + -78. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 111951.18 minutes?\nAnswer: 1865.853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + c282b?\nAnswer: c2830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10569, -42739, -96355, -171417, -267925?\n\"Answer: -10723*l**2 - l + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 638 = -5*m, -4*m = 4*u - 267 - 353. Solve -4 = -159*t + u*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17093 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360\/30*12\/8 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11101 + 1222?\nAnswer: -4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 8*v - 1. Let n be p(4). Let m be 1*n\/6*-3. Put m, 1, -0.5, 0.2 in ascending order.\nAnswer: -0.5, 0.2, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.24 + 18.2434617. What is j rounded to 5 dps?\nAnswer: 0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -254103 - 1?\nAnswer: -254104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1030033151.362.\nAnswer: 1030033146.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 605 and 1620.\nAnswer: 196020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 2*d = 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Suppose -7*g + s*g = -235. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/25*(-60)\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -24*j + 75. Let t be a(-3). Let q = 154 - t. Solve 5*n + 5 = -3*l, -n - 22 = -5*l + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -996 + 2455. What are the prime factors of a?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -749200 or -749201?\nAnswer: -749201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 351*d**2 - 3*d - 2. Let a be x(-2). Suppose 5*s + 4*m - a = 0, 2*s + 50 - 609 = -3*m. Let f = -87 + s. Is f a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 148 = 16*w, 3*w + 5*a - 4505 = -4495 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*t + 40 + 457 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3*-3.8\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -11. Let l = 66 - 31. Calculate the remainder when 798\/l - 2\/(-10) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 * 12392.\nAnswer: 793088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (20 + -2)) + 1 + -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -649797, -4\/5, -0.1, -2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -4*m + 88, -5*s + 512*m - 516*m - 104 = 0 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2727 is divided by 52.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.088 - -0.088. Put -2\/9, -15, g in ascending order.\nAnswer: -15, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 8*w + 6. Suppose 24 = -4*d - 4*z, -6*d - z - 14 = -d. Let t be d\/(-5 - -3) + 5. Is u(t) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9213 = -52*q - 33393. Is q greater than -465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arjrj. What is prob of sequence ja?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 32. What is the nearest to 1 in x, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 29*l**2 + 54*l - 5. Let q be t(-27). Put -2, q, -14 in decreasing order.\nAnswer: -2, q, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7546, 10139, 12732, 15325?\n\"Answer: 2593*h + 4953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-15) - 2\/6. Let y be (-5 - -5)\/(-2 - 0). Suppose y = -x + 4 - v. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i + 31. Let y = -194 - -192. Let s(f) = f + 6. Calculate y*w(l) + 11*s(l).\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 6. Let z(v) = -v**2 + 18*v - 10. Let i be z(17). Let p be t(i). Solve 5*j + 18 = x, -5*x + p = -0*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(343) + (2 + 0 + sqrt(343) - sqrt(343)))**2.\nAnswer: 28*sqrt(7) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6391 + -31389. What is i rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 greater than or equal to 343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + -0.17. Let y = o - 0.19. What is the biggest value in -0.3, 1\/5, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17132*g**6*h + 27*g**2*h - 205*h wrt g.\nAnswer: 2055840*g**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 - 2*n**3 - 3*n**3 + (5*n**3 - 2*n**3 - n**3)*(3 + 2 - 4))*(-n - n + n + (3 + 2 - 3)*(0 + 0 + n)).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -7?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 573090540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 7 + 2 - 6)*(11*u**3 - 32*u**3 - 115*u**3) as x*u + p*u**4 + d + v*u**2 + a*u**3 and give p.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 913796491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3380607 and 14.\nAnswer: -47328498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1625)\/130)\/((70\/84)\/((-15)\/9))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 107.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-707)\/42 - -17)*798\/7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u + 52 = 56*u. Suppose 0 = -40*i + 39*i + 28. Let j = i - u. Solve j*t + 2 = -4*h - 4, -4*h = 3*t + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/28*2*-1*70\/140.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 806 + -791. Let i be 3*(l\/(-9) + 1). Sort -6, i, 3, 2 in ascending order.\nAnswer: -6, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200120102101210021 - -11?\nAnswer: -1200120102101210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 32 = -38. Let w(x) be the second derivative of x**3 + 1\/10*x**5 + 1\/2*x**4 + 4*x + x**h + 0. Solve w(z) = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 986142354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53 - 1b4aa?\nAnswer: -1b530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -87, -207, -373, -585, -843, -1147?\n\"Answer: -23*p**2 - 5*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 296\/56 - 4\/14. Let x(d) = d**2 - 3*d + 6. Let a be x(b). Suppose 0 = u - 3 - a. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 15*p**2 - 32*p + 23. Determine m(13).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(-1 + sqrt(9)\/sqrt(3) + sqrt(3) - sqrt(3)))**2 + -4.\nAnswer: -580 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*69466.56.\nAnswer: -69466.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqmg when four letters picked without replacement from {g: 4, c: 1, q: 2, f: 3, z: 1, m: 4}.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) -1 (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-2\/7)))\/(j**(-6\/11)*j))**(-2\/3)*(j\/j**(1\/2))**(5\/7)*j**(2\/9)\/(j**(-2\/5)*j) assuming j is positive.\nAnswer: j**(3277\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6870222 divided by -18?\nAnswer: 381679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 + 13. Let w = 645 - 645. Suppose w = -5*a + 4*l, -a - 7 = -4*l + 9. Let n(o) = 11*o**2 + 27. Calculate a*n(s) - 9*d(s).\nAnswer: -s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3746445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462771 (base 8) in base 4?\nAnswer: 1212113321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2805*l - 1683. Let a(y) = -y - 1. Determine -3366*a(n) + 2*r(n).\nAnswer: -2244*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(88) - (1*sqrt(88) - sqrt(88))))\/(sqrt(40)\/(-1*sqrt(5))) + 3.\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-701 + 709 + 319)*(0*a**3 - 4*a**3 + 2*a**3)*(16*a - 5*a - 3*a**2 - a).\nAnswer: 1962*a**5 - 6540*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g + 2. Let v be i(3). Let t be (v\/(-15))\/((-2)\/(-33)). Calculate the highest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*q - 18 = 0, -62 = -4*p - 19*q + 22*q. Calculate the remainder when 44 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59388 and 916272?\nAnswer: 6413904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6293292 or 6293293?\nAnswer: 6293293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 189656650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3552226063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 143648.5 days?\nAnswer: 12411230400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjwj. Give prob of sequence jj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405404 a multiple of 694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -18. Solve h = 2*a + 4 + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*u + 45 = -4 - 179. Put -1, u, -20, 9, -4 in decreasing order.\nAnswer: 9, -1, u, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531, -525, -519?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 60\/9*552\/184\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 - q - 1. What is u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.6 - 40. Let j = 7 + d. What is j rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3 - 151638*r**2 - 606600*r = 0. Calculate r.\nAnswer: -4, 0, 50550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 3*r - 3. Let c = 52 + -49. Suppose c*w + 3 = -2*b + 15, -5*b = -w - 13. Suppose 0 = 8*s - w*s + 12. Determine q(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (1*sqrt(95))\/sqrt(5) + -1*sqrt(19)*3)*3 - (5*((sqrt(19) + sqrt(19) + sqrt(304))*4 + sqrt(19)) + -4))**2.\nAnswer: -1024*sqrt(19) + 311312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - p + 85, 9*p - 6*p - 63 = -3*f. Solve 2*y = 4*t - f, -3*y + y - 3*t + 5 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5*((-4 - -36) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**2 + 4*i**2)*(-1 + i**3 + 1) + 549*i**3 - 549*i**3 + 140*i**5.\nAnswer: 141*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 819853\/10 + -81906. Let m = u + -77. Calculate the common denominator of m and 53\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -2 (c) 2246 (d) 5 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3*-15)\/(-1*(-26)\/(-52))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqqqqzqq. What is prob of sequence qz?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6864.84 milligrams?\nAnswer: 6864840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 1 + 1)*(3*q**3 + 4*q**3 - 6*q**3) - q**5 + 6*q**5 + q**5.\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 50. Let k(m) = m - 10. Calculate 4*k(a) + n(a).\nAnswer: 2*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 465945963 a multiple of 3519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - 3\/(-4*9\/13560).\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 8\/199?\nAnswer: 8\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -73\/5. Let l = 25.238 - 26.4. Let b = l + 0.162. What is the fourth biggest value in 5, u, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 1. Let z(v) = -5*v + 2. Let t(w) = -4*l(w) - z(w). What is the least common multiple of t(2) and (-39)\/(-4) - 1\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*l**3*m*v**3 - 2*l**3*v**3 - 4*l**3*v**2 + 3*l**2*m*v + 2*l**2*m + 49*l**2*v**3 + 2*v**3 wrt l?\nAnswer: 738*m*v**3 - 12*v**3 - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 34 = -4*w + 6*b, w + 1 = b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5248?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxdddddxxxd. What is prob of picking 4 x?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*z**3 + 171*z**3 - 333*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1)**2*-4.\nAnswer: -6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (-2 + sqrt(405) + 2 - (sqrt(405) + 1)*2)*-5)**2.\nAnswer: 1260*sqrt(5) + 10321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128\/2856*36\/92?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140435 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10*p**(-2\/9)\/p*p\/p**4*p*p**13)**(-5\/13) assuming p is positive.\nAnswer: p**(-890\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Let j be ((-3)\/2)\/(1\/r). Sort j, -4, 1 in decreasing order.\nAnswer: 1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + 2.36.\nAnswer: 2.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -22045*u + 1. Let a be c(-3). Suppose -2*b - a = 2*b. Let h = b + 1034. Round h to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-318708)\/(-115089) + (-146)\/(-13)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-7)\/42*1\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 7*f + 30. Let q(y) = -y**2 - 2*y + 14. What is the smallest common multiple of q(-3) and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -78, -276, -590?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - ((-3 - 0) + 0). Let w = x - 0. Let k = 4 + w. Calculate the greatest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/((sqrt(132) - -3*sqrt(132))\/sqrt(12)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 5) to base 15.\nAnswer: 2c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 97*a**4\/6 + 281*a**2\/2 + 22*a - 4. Differentiate o(u) wrt u.\nAnswer: 388*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 56541 + 62697 = 0. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70165 divided by 1333.\nAnswer: 70165\/1333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 4)\/(0 + 2). Suppose r = m + 16*b - 14*b - 749, 4*m = 4*b + 3056. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -202b0a24 - -2?\nAnswer: -202b0a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-13)\/(h*h**(2\/23))*(h\/(h**(1\/2)\/h))**2 assuming h is positive.\nAnswer: h**(-255\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 13*i + 16 - 48*i - 40 + 16.\nAnswer: -61*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29 + -0.02212203.\nAnswer: 0.26787797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*u**2\/3 - 58*u\/15.\nAnswer: 2*u*(130*u - 29)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972)*-1)\/(sqrt(9) - (sqrt(1296) - sqrt(1296)*2)) - (sqrt(192) + sqrt(192) + (sqrt(192) - sqrt(192)*-3) + 4))**2.\nAnswer: 5040*sqrt(3)\/13 + 1193404\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1988354 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*g**5 - 11*g**4 - 315*g**3 - 284158*g.\nAnswer: 1080*g**3 - 132*g**2 - 1890*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twftwtyfwmftw. Give prob of picking 1 f and 1 t.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -5*s + 3*c, -29889*c + 29892*c + 6 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.103, -1.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 467141747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -57. Let i = 3 - x. Which is the nearest to -2\/5? (a) 0 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*l - g - 24, -10 = 2*l + g. Let u = 6\/2047 + 2023\/8188. Which is the nearest to u? (a) l (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*u + 409*u + 14 = -4*h - 7, u + 3*h + 19 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by -140?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135370000.\nAnswer: 2, 5, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-5))\/((-1)\/(-5)). Suppose 3*r + 3*q = -2*q - 18, -g*r = q + 7. Calculate the common denominator of -95\/6 and r + ((-13)\/(-1) - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 19. Let i = -0.1 + -0.9. Which is the nearest to k? (a) 0.1 (b) i (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - v**2 + v - 1. Let d(b) = -2*b**3 + 32*b**2 + 2*b - 25. Let h be d(16). Let y(n) = 14*n**3 + 7*n**2 - 7*n + 7. Determine h*r(t) + y(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 5:07 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10866396, 10866391, 10866386, 10866381, 10866376, 10866371?\n\"Answer: -5*a + 10866401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -327*w**4 + 7*w + 16411 wrt w.\nAnswer: -1308*w**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 814 = -7*l - 3*k, 0 = 2*k + 4. Calculate the highest common factor of l and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -3641.\nAnswer: 13\/3641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -38029*u - 2. Let c(d) = 35*d**2 + 7. Determine o(c(s)).\nAnswer: -1331015*s**2 - 266205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**2 - 237*n - 2651. Let b(t) = 33*t**2 + 1305*t + 14580. Let u(z) = -5*b(z) - 27*q(z). Find y such that u(y) = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49208 and 67661?\nAnswer: 541288","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -304.7035 + 305.6535359. Let q = -28.95 + 28. Let v = q + w. Round v to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15316 and 4?\nAnswer: 15316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42\/(-105) + 672\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164 - 69. Let w be (h\/(-15) + 6)*0. Factor -2\/9*g**5 + 0*g**4 + 0*g**2 + w + 4\/9*g**3 - 2\/9*g.\nAnswer: -2*g*(g - 1)**2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 6*o**2 + 3*o - 13. Let t = 46 - 40. Let m be q(t). Which is the smallest value? (a) -0.3 (b) 7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.050689 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1071*(-55)\/1540*8\/9\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o**2 + 1663543*o - 1663543*o - 15*o**2.\nAnswer: -41*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/22)*m*m**30)**(-1\/7) assuming m is positive.\nAnswer: m**(-681\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 3 - 5*v**2 + 5*v**2 + 0*v**2.\nAnswer: -4*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25169771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.3 + -29.3002. What is j rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5781202 to the nearest integer?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 828 and 4968.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(833) + -5 + sqrt(833)*3*1.\nAnswer: -4 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5942*h**2 + 2*h**4 + 28*h**4 - 48*h**4 + h**3 - 666*h**2 + 6*h**5 - 452*h**2 wrt h?\nAnswer: 360*h**2 - 432*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 300, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 171*h - 4131. Give r(23).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1409*q + 2921*q + 2270*q + 5421*q - 1127*q to the form v + y*q and give y.\nAnswer: 8076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1502 - -2269. Let h = -766.999999447 + i. Round h to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00409581 to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from qqqiiiqqqiqqiq?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 - 56. Suppose 2*a - 2 = 0, 3*n + c = -4*a + 132. Suppose 3*h - 5*s = 7*h - n, -h + 6 = s. Let f(k) = -k**2 + 3*k + 2. Calculate f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 1004 - 1537 = 639. Let u be (-3)\/(-2)*848\/12. Is u less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10511*v - 5254*v + 3 - 3 - 5258*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/20 and 33\/4 - (6 + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 5*p - 1. Let c be v(-2). Suppose -c*m + 102 = -2*z - z, -4*m - z + 85 = 0. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 + (-44)\/(-12). Suppose -2*w + 164 = 2*h, g*w - 5*w + 82 = 2*h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*15\/72)\/(6\/(-36)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/180 - o**5\/3 + 25*o**4\/3 + 7*o**3 - 34*o**2. Let h(k) be the first derivative of d(k). Factor h(q).\nAnswer: 2*(q - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-2*f + 9 - 9 + (2*f - 9 + 9)*(2 - 2 + 2))*(4*f + 3*f - 3*f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44176 is divided by 222.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -26 in descending order.\nAnswer: 4, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/3*4184940\/(-128485)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m - 18. Let v be w(6). What is the second derivative of -32*q - 3*q**4 - v*q**4 - q + 12*q**4 wrt q?\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**6\/30 + 19*n**5\/10 + 73*n**4\/12 + 6*n**3 - 366*n. Suppose i(r) = 0. Calculate r.\nAnswer: -36, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 12) to base 3.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 4. Let m be l(3). Let z be 0\/((-2)\/(-1) + -1). Let s be 3\/((-12)\/4)*z. What is the third smallest value in 2\/7, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, 228, 533 in ascending order.\nAnswer: -19, 3, 228, 533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + 1001231?\nAnswer: 1002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-4) + (-1)\/4. Let l be (7 - -1)\/((-6)\/(-3)). Suppose p = -l*p + g. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2023*s**2 + 421*s + 4046*s**2 - 1983*s**2 + 1 + 906*s + 466*s.\nAnswer: 40*s**2 + 1793*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r - 16. Let x be p(-11). Suppose -4*t = -8*t + 3*w + 436, 128 = t + 4*w. Let l = x + t. What is the smallest value in -5, 0.2, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -6497885?\nAnswer: 12995770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 9*o + 13 = 10*o, 25 = 5*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*j + 9. Suppose j = -2*r + 9. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -3123\/721?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 k when three letters picked without replacement from {o: 2, y: 7, k: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.42648 + 0.07352. Which is greater: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 11 - 81 = -27*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71928\/432*4\/(-18)*(-32)\/(-32)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/60 + 3*l**4\/8 + 271*l**3\/3 + 22*l**2. What are the prime factors of q(0)?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/624*-13*(-15)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 5, q: 1, i: 1, m: 2}. Give prob of sequence yqx.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) 1489 (c) 3 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1497200 divided by 19700.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 1 + 0 + 0*m - 2*m**4)*(0 + 2*m + 0).\nAnswer: -4*m**5 - 4*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.36 - -0.36. What is the closest to 0.08 in 2\/5, q, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -7*s**3\/3 + s**2 + 2*s - 16. Let n(t) = -t - 1. Let c(b) = -m(b) - 2*n(b). Let q(v) = 3*v. Determine q(c(g)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102264 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1815135 and 1947.\nAnswer: 19966485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -79, -2, 12\/5, -0.1?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-802386)\/(-3048))\/(99\/44).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and 334\/318833 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25482\/(-2877))\/((-12)\/9*(-9)\/(-42)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three quarters of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/(1 - 2\/(-3)). Sort 5, -0.03, -5, b in descending order.\nAnswer: 5, -0.03, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -5. Suppose -4*h = w - 9. Factor -c**3 - c**3 + 0*c**2 - 2*c**h.\nAnswer: -2*c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 166*o**2 + 85*o**2 + 81*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 4*r + 3*r)*(-3 + 7 + 5)*(0 + 1 - 3) to c*r + t and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246856?\nAnswer: 2, 59, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*a - 93*a + 15 = 0. Suppose 5*p + 6 = 3*p. Let j be (-6)\/a*(8 + p). Let w(x) = x**2 + 7*x - 8. Determine w(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -27, -48, -69, -90, -111?\n\"Answer: -21*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 554, 1251, 2268, 3629, 5358, 7479, 10016?\nAnswer: 12993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125050*y - 125015*y = 910 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - -73. Suppose t = 3*q - 132. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - -1.4. Let w = -2.2 + j. Is w != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60467660 is divided by 30233829.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10703805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 90, 1\/6, -0.08, 0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/15*-5)\/(-2*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 177*u - 114. Determine a(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.1. Let q = -6 - -2. Let f = -0.147 - 0.153. Which is the nearest to j? (a) q (b) -2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*a + 986*a + 160 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 6*d - 1. Suppose 5*v + 2*m = -29, 4*m - 40 = 4*v - 0*v. Let b be l(v). What is the third derivative of p**2 - 2*p**6 + 0*p**6 + 3*p**b wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, k: 1, v: 11}. Give prob of sequence kxx.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 335, 502, 669?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1482)\/53105)\/(3\/1950) - 306\/(-17)?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -17 - -12 - (50\/(-6) - -3). Let w(v) be the first derivative of -y*v**3 + 5 + v**2 - v. Let w(g) = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 13*v**2 - 10*v + 133. Let f be c(13). Let w be (f\/(-6))\/(6\/(-12)). Solve -7*p - 36 = -w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 2. Suppose -3*n + 9 = 0, 5*n = 2*o - o + 15. What is the second smallest value in q, o, -13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/6 - (-17)\/((-561)\/22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 2. Let o(l) = -l. Let v be 40\/(-10) - 58\/4*-2. Suppose 0 = 2*k + 3*k - v. Let f(c) = k*o(c) + s(c). What is f(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 23*k - 2*k)*(0 - 10 + 0)*(0*k**3 - k**3 - 3*k**3) as a + q*k**3 + b*k + p*k**4 + v*k**2 and give p.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzrgxug. Give prob of picking 2 x and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 1 - 3*r - 32*r**4 + 24*r**4 as c*r**3 + v*r**2 + d*r**4 + b + m*r and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 54 + 64 - 28.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c - b0?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 3*p**2 - p - 2. Let u be a(-2). Let v = u + 10. Suppose 3*i + 4 = -s + v, -i + 10 = -2*s. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - -1*sqrt(209)*5))\/(sqrt(88)\/sqrt(72)))**2 + 3.\nAnswer: 4278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -229588 - -229939. Let x(k) = k**2 + 2*k - 2. Calculate the remainder when u is divided by x(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111000110010 (base 2) to base 16.\nAnswer: -1e32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose -i*s = s + 2130. What is s rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 166*g + 64*g + 0.\nAnswer: 230*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/10 + -1)\/(4\/24). Calculate the highest common divisor of x and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -67334116 + 2?\nAnswer: -67334114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 782464\/15 + -947579789\/18165. Let z = t - -3\/173. Is -2 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 138*j**2 - 1809*j + 4104.\nAnswer: 3*(j - 8)*(j - 3)*(j + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -75. Solve 4*k - k = r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*j**4 - 37*f*j**3 - 1599*f*j**2 + 68*f*j + 1316*j**4 - j**2 wrt j.\nAnswer: 48*f*j - 222*f + 31584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 58*16728\nAnswer: 970224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/180 + b**4\/24 + b**3\/2 + 4*b**2. Let m(r) be the first derivative of h(r). Find the first derivative of m(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 0.26 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -388, -582, -776?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(54\/(-108)*12\/(-9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 636.829457 to 1 dp.\nAnswer: 636.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/52 - 119\/273. Let p = 26 + -16. Which is smaller: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dffdnndffdfffdff. Give prob of picking 1 d and 1 f.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -8. Let x be a\/3 + 6 - 0. What is i in 0 + 3\/2*i**x - 3\/2*i**4 + 0*i + 1\/2*i**5 - 1\/2*i**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*n - 4, 4*i + 0*n - 5*n = 36. Suppose i*t = 4*z + 8, 0*z = 4*z - t - 4. Solve z*h = 3*a - 6*a - 11, 0 = h - 3*a + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2295 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:14 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6663746707?\nAnswer: 347, 19203881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6458713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2*a + 2*a**2 + 7*a**3 + 953*a**4 - 949*a**4 - 5 - 1 to the form u*a**2 + g*a + r*a**3 + x + z*a**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -6479.785864.\nAnswer: -6479.385864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**6\/120 + z**5\/60 + z**4\/12 + 2*z**2 - z. Let y(f) be the first derivative of d(f). Is y(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 + 2*j**2)*(-j + 3*j - j) - j**3 - 7*j**3 + 3*j**3)*(80*j**2 + 724*j**2 + 212*j**2).\nAnswer: -3048*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 15 (c) -16 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -548*i**2 + 1113*i**2 + 10*i - 558*i**2 + (1 + 0 + 0)*((-2 + 2 + 2*i**2)*(-1 + 3 - 1) - 2*i**2 + 0*i**2 - 4*i**2) - 5*i**2 + 2*i**2 + 5*i**2.\nAnswer: 5*i**2 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8392897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*u - 8 + 11*u + 8.\nAnswer: -155*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4 - 1\/(-2). Suppose -6*q + 18 = -f*q. Suppose -90 = k - q*k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1 + 4 + 2 + g - g**3. Let t be y(0). Find the first derivative of 5*d**3 - d**4 - t*d**3 - 2 wrt d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5369 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00862579675 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-40692\nAnswer: -813.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ergeueueesuegeuee. What is prob of picking 1 g and 1 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3322202 (base 11) to base 3.\nAnswer: 101222012021211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 8 = n, -4*n = -14*c + 18*c - 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iikkkk. What is prob of sequence ki?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*t**2*y**3 - 179570*t**2*y + 82202*t**2 + 2*t wrt y?\nAnswer: -9*t**2*y**2 - 179570*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c + 2*c**4 - c**4 + c**4 + c**4 - 2*c**3 + 2*c**3 + 3*c**4 + (-2*c**3 - c**3 + 4*c**3)*(2*c - c + 0*c) + 2*c**4 + 2*c**4 - 2*c**4 + 0 - c**4 + 0.\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2\/3, -0.1, -3, -2 in decreasing order.\nAnswer: 2\/3, -0.1, -1\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8*-6*-2. Suppose 15 = -5*q + 20. Let o be ((-28)\/14)\/(5\/q). Which is the closest to -0.1? (a) o (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**4\/4 + 147*q**3\/4 - 19617*q**2\/2 + 38769*q - 38610 = 0?\nAnswer: -143, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*o**4 + 33*o + 634 wrt o.\nAnswer: -40*o**3 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -a97742?\nAnswer: a97748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(1\/23)\/((i\/(i*i\/i**(-2\/17)))\/i**(-5)) assuming i is positive.\nAnswer: i**(-1467\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbbbbbmb. What is prob of sequence mmb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 9*b**2 - b + 10. Let t = -22 + 31. Calculate the remainder when 1*3*(-2 + (-7 - -10)) is divided by k(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + l + 2. Let j be n(0). Calculate the highest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288109 = -4944*d + 1589*d + 49904 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {z: 1, l: 3, d: 2, b: 3, t: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 586408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = 4*r - 2*z, -5*r = 5*z - 15. Suppose r = -5*o + 4*o + 16. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 71 + 79 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -239395934 + 203\nAnswer: -239395731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28362.812 rounded to the nearest one hundred?\nAnswer: -28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -3*t**2\/2 + 813. Let a(f) = -11*f. Let v(j) = 10*j + 1. Let s(c) = -6*a(c) - 7*v(c). Give u(s(h)).\nAnswer: 12*h + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-132)\/(-30) - 6\/15. Let r(b) = -5*b - 2*b + b + 8*b. Let n(o) = o + 1. Let g(f) = -3*f - 2. Let t(s) = g(s) + 2*n(s). Calculate m*t(z) + 3*r(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -49*q**3 + 5*q**2 + 3*q + 4. Let f = -46 + 28. Let t = -14 - f. Let g be v(t). What is g rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 12. Suppose -3*i + 78 = p, p - 4*i = i + 54. Suppose p = 5*k + u. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/36 and (3\/(-9))\/(0 - (-3)\/12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 748 in 0.5, -1, -44?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 0.799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171599910?\nAnswer: 2, 3, 5, 271, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + -21 + 235 + -225.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 2. Let n = 0 + v. What is the common denominator of (2 - 0)*n\/(-36) and 87\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2278 (b) 0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4450 and 79\/388.\nAnswer: 863300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1025895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 0*t**2 + 0 + 0*t**3 - 1\/10*t**5 - 1\/3*t**4 + 10*t. Factor b(q).\nAnswer: -2*q**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 8*p**2 - 9*p + 9. Let o be y(7). Which is the biggest value? (a) -1\/3 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(175) + 4 - sqrt(175) - sqrt(175)) + -1)*1*-4 + 1 + 2)**2.\nAnswer: -6600*sqrt(7) + 28225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6546?\nAnswer: 2, 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124651152 divided by -1449432.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/24 + (-5395)\/78. Is z >= -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -45. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 312*h**3 - 8*h + 8. Let w(l) = 208*l**3 - 5*l + 5. Give -5*n(f) + 8*w(f).\nAnswer: 104*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m + 60*m**3 - m**2 + 110*m**2 - 109*m**2 to b*m**3 + r*m**2 + y*m + u and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16*k**3 + 8*k**2 - k - 256. Let o(v) = -48*v**3 - 22*v**2 + 3*v + 683. Let z(h) = -8*b(h) - 3*o(h). What is z(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 0, 28, 2 in ascending order.\nAnswer: -2, 0, 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*i + 27*i = 0. Let v(f) be the third derivative of 3\/8*f**4 - 1\/20*f**5 + 13*f**2 + 0 + 0*f + i*f**3. What is the second derivative of v(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o - 12. Let w(h) be the second derivative of h**3\/6 + 2*h. Let q(b) = -v(b) + 6*w(b). What is the units digit of q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156 - 229. Let c = y - -115. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4349 + 1548241\/356. Do 0 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.9 (c) 12755 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 286 = -4*j - 306, 0 = -j + 2*d - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176648?\nAnswer: 2, 71, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 10:49 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12bb (base 14) to base 12\nAnswer: -1ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*m**4 - m**3 + 0*m**3 - 367*m**4 - m**2 + 199*m**4 + 2095*m in the form p*m**3 + a*m**4 + c*m + y + k*m**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*k + 1052 = 0, -3*m + 5*m - k = 684. Suppose d + 4*d = 5020. Suppose i = 0, 3*g - 2*i + m = d. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-1*sqrt(77) + sqrt(77))*-6 - sqrt(77)))\/(sqrt(35)\/sqrt(5)*-3*-4).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -31. Calculate the least common multiple of p and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 453\/4 - 103. Find the common denominator of -5\/16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 36573719*d\/4 + 36573715.\nAnswer: (d - 36573715)*(d - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-8)*(-76)\/209\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 596.518 - 596. Let r = 0.218 - m. Is r at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 150 = 5*p. Let j be (8\/(-5) + 0)\/(4\/(-50)). Calculate the greatest common factor of p and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*y + 233*y + 2*t - 24600 = 0, 4*t - 30747 = -5*y. List the prime factors of y.\nAnswer: 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -131\/4. Suppose -4*i + 3*y - 3 = 16, 5*i - 2*y + 15 = 0. Let l = 0.4 + -0.39. Which is the closest to t? (a) i (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -25. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -46*r - 79 + 180. Solve 7 = -u + a - r*a, 0 = -u + 5*a + 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*(-4 - (-1 - -1)). Solve 25*z + 27 = -o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*t**3 + 29*t**4 + 0*t**3 + 12*t**3 + t**4 - 2*t**4 + 2*t**4 + (-4*t - t**2 + 4*t)*(2*t**2 - 3*t**2 + 3*t**2).\nAnswer: 28*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = -12. Let i = 15 + -32. Let u = -33\/2 - i. Which is the third smallest value? (a) d (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 472, 523, 576, 631, 688?\n\"Answer: a**2 + 48*a + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (92 - 94) + (5 - 21) + -4.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = 766 - 241. Is -49\/2 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 12*m**2 + m - 6. Let s be j(-12). Let z be (1 + (-16)\/14)\/(s\/(-54)). Let g be (8\/2)\/(1 - 8). What is the second smallest value in g, -5\/2, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5573.8 times -0.4\nAnswer: -2229.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + -1 + ((-1430)\/44)\/(-13))*-1. Determine g, given that 0*g - 13\/2*g**3 - 2*g**5 + 0 - 8*g**4 - n*g**2 = 0.\nAnswer: -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 296020.7mg?\nAnswer: 0.2960207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431971 is divided by 71982?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6466600 (base 7) to base 12.\nAnswer: -321134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, g: 9, c: 1, s: 1}. What is prob of sequence cp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + 28*w**2 - 11*w + 4. Calculate the remainder when z(3) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 10*z**2 + 8*z + 14. Let b be v(9). Suppose -40 + 165 = b*x. What is the remainder when 121 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -16. Suppose -3*j + 24 = -0*j. Suppose 2*w = 2 + j. Solve -2*b = -w*b - p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(-4)\/32*(4 - 2). Solve -11*t + 14*t = -h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22 - (-9 - -12))*1\/(-5). Suppose 112 = 5*w - o, 2*w - 4*w + t*o = -31. What is the remainder when w is divided by 0 + 13 + -3 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 6:04 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -16. Let i = -4 + 3. What is the second smallest value in i, 5, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*h + 2*h - 2, 2*h + 4 = -d. Suppose d*a + a = 0. Suppose 3*n - 6*n + 12 = a. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9*t**2 + 1.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -5, 17, -807, 32.\nAnswer: -807, -8, -5, -3, 17, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*q - 209*q + 300 + 1310 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**3 - 6*l**2 - 6*l - 6. Let z(b) be the first derivative of -3*b**4\/2 - 5*b**3\/3 - 5*b**2\/2 - 5*b + 11. Give -5*j(f) + 6*z(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:52 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g**2 + g + 1. Let y be (-2)\/3*1 + (17 - 690\/45). Let p(v) = -v**3 + 9*v**2 - 6*v - 5. What is y*p(t) + 6*d(t)?\nAnswer: 5*t**3 + 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205*k**4 - 25*k - 3?\nAnswer: -2460*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 570 + -567. Suppose -3*o = -4*v - 4280, t*v - 10237 = -5*o - 3152. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 127995497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + n**2 - 2*n + 5. What is x(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 5*n + 4. Let t be r(-5). Let q = -591 + 350. Let v = -237 - q. Solve v*y = -0 + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Suppose 2*i = 8, 4*t = i - h*i + 1304. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30976675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010510614 to 7 decimal places.\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3657508 and -0.3.\nAnswer: 3657507.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + (-975)\/60)*-52.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18)\/((l*l\/l**(-2\/19))\/l)*l\/(l*l**(-35))*l**31)**(2\/11) assuming l is positive.\nAnswer: l**(162\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 48 + 11 + 11 + 13 - 1216*z to i*z + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3\/5 - 3416*y**2\/5 + 5677*y\/5 + 9096\/5 = 0. Calculate y.\nAnswer: -1, 8\/3, 1137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 38*y - 87. What is the remainder when i(35) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*k + 5*x + 283, -3*x - 84 = -k. What is the remainder when k is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4698876 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33031*l**3 - 111*l - 46?\nAnswer: -198186*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (544\/8976)\/((-8)\/(-5016)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**4\/8 - i**2. Suppose 2*y - 22 = 4*l, 2*l = -7*y + 2*y + 7. Let s(u) = -u**2 - y + 1 + 2. Determine g(s(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3389, 3390, 3389, 3386, 3381, 3374, 3365?\n\"Answer: -a**2 + 4*a + 3386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/658152 and 9\/4432.\nAnswer: 1316304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 bigger than -92\/11249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 476 and 56?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62926725341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1608 + 3875. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 10*b**2 + 10*b + 9. Let s be g(-9). Let d = -7 - -13. Suppose c + 0*c - d = s. Solve -4 = -5*v + c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 873 - 873. Solve m*u + 4*u + 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8003 - -16515. What are the prime factors of b?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f - 7*f**2 - 4*f + 5*f**2 + 4*f**2 - 34 - 3*f**2. Determine x(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 10) to base 14.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 28. Let s be j(-10). Sort s, 3, -1, 1 in increasing order.\nAnswer: s, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -231 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15100.7799 minus -3?\nAnswer: 15103.7799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3075*-10.81.\nAnswer: 33240.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007561 to four dps.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 + 6*b - 1\/20*b**5 + 11\/6*b**3 + 5\/6*b**4 + 6*b**2. Let p be g(11). Solve p = -4*d - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17*36\/(-510))\/((-4)\/(-30)). Solve -s = o + 8, 2*o - 17 + n = 4*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/3 - o**3 - 2*o**2\/3.\nAnswer: o**2*(o - 2)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166495\/61 equal to 51910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203113.\nAnswer: 23, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 45330634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/4 + 139*w**3\/2 + 612*w**2 + 584*w - 5. Factor g(i).\nAnswer: 3*(i + 3)*(i + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 3110, 10357, 24382, 47423, 81718, 129505?\nAnswer: 193022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/4 - 11*a**4\/4 + 43*a**3\/4 - 73*a**2\/4 + 14*a - 4.\nAnswer: (a - 4)**2*(a - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80*11488\/(-13920) - -66?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhtnbant. Give prob of picking 1 b and 2 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -1. Let x be f\/(4 + -1) + -37. Let h = x - -67. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9180 (base 13) to base 16.\nAnswer: -4e4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3*(-5)\/105)\/(-1))\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 2*y**2 - 3*y + 3. Let p be i(-3). Suppose 5*s = r - 49, -21 = -p*s - 36. What is the smallest common multiple of 7 and r?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*y**3 - 80*y**3 + 119*y**3)*(-3 + 2*y + 2 - y).\nAnswer: -15*y**4 + 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 100*r - 1640 = 99*r, -3*r - 3280 = -4*y. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -29 + 22 + (-5 + 4 - -8)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffww when four letters picked without replacement from fwwnwffwqn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66.6 and 41703.\nAnswer: 2777419.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53220 = 9*l - 35340. Is l a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*a + 1947 = 15*a - 825 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h + 18 = 39*h. Suppose h*k = 29 - 44. Which is the closest to k? (a) 3\/2 (b) -1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2644 = 3*h + 2*z, 3*z - 5*z + 4400 = 5*h. Let t = h - 2579\/3. What is the common denominator of 7 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 divided by -1.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -16 (b) -1\/4 (c) -20 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 3*w = 9*m - 7, 4*m - 36 = 4*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 5115?\nAnswer: 5114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**5\/10 + 5*t**4\/12 + t**3\/3 + 7*t**2\/2 - t. Let c be x(3). Solve c*m = -4*n - m + 36, 12 = 5*n - 2*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 2*u - 5*j - 57 - 121, 2*j = -72 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwvwvwv. What is prob of picking 1 v and 1 w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 8 + 28. Let b(v) = -v + 20 - p. Let a(n) = 2*n**2. Calculate a(b(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*u + 173*u - 136. Suppose 5*n = -3*t - 13, 0*n + 4*n + 20 = 0. Suppose -t*j = -b - b + 64, -3*b + j = -86. Put -4, u, b in descending order.\nAnswer: b, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 30 = -x + 10, -4*g = 4*x + 32. Let p be (-5)\/x + 2 + 6. Is p smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 253169 = 2*a - 79696. List the prime factors of a.\nAnswer: 5, 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b - 5. Let p = 160 - 158. Let i(j) = 7*j**2 + 8*j**2 - 38*j**p + 26*j**2. What is i(c(n))?\nAnswer: 75*n**2 - 150*n + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 20*o**2 - 46*o - 36. Let y be k(-22). Does 35 divide (-36915)\/(-92) + (-2)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -12 - -24) + -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9583 = 9*r - 26854. What are the prime factors of r?\nAnswer: 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*q + 5*u, -5*q + 1 + 7 = 3*u. Suppose 2 + 6 = -q*i. Let g(z) = 10*z**2 + z + 2. What is the remainder when g(i) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(704))*-6 + sqrt(704) + sqrt(55)\/(sqrt(40)\/sqrt(2)) + -5.\nAnswer: -79*sqrt(11)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:14 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*i - 13 + 3 - 2 - 13 + 7 to the form y + l*i and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.56 - -4.34. Let l = s - -0.1. Let q = 2.256 - 4.256. What is the second biggest value in q, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60414 is divided by 11866?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40404422 + 2?\nAnswer: 40404424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 33 - 3. Suppose 0 = -j + 3*j - u. Solve -15 = j*t, 0 = -2*m - t - 2 - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1087*z - 2453. What is the ten thousands digit of t(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njdnjnnjnnrjnjjjb. What is prob of picking 1 d and 1 n?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Determine y so that l*y + 5*y**3 - 5*y**3 - 12*y**2 + 3*y**5 - 6*y**3 + 6*y**4 + 6 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4997801891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 647065699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let o be ((-1)\/2)\/((-19)\/(-152)). Let u = -14.03 + 13.73. Which is the nearest to o? (a) d (b) 1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**2 + 3*x + 1. What is the remainder when 113 is divided by y(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 308*t + 310*t - 1.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 4*c**3 - 37 - c**3 + 37.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 7*k + 7. Let m(u) = u**2 - 3*u + 3. What is 14*m(q) - 6*v(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 193350*h + 35483517.\nAnswer: -3*(h - 183)*(h + 64633)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**2\/2 - 13*v + 1. Let i be c(-14). Let t be (0 + i)\/(-4 - -3). Is t greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2. Let z(j) = -4*j + 7. Let c(n) = -5*y(n) - z(n). Let x(u) = 3*u + 2. Determine -5*c(w) + 6*x(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**3 - 6*o**2 - 5*o - 11. Let d(c) = -2*c**3 + c**2 + c + 2. Let m be 0\/(-1) + (-4)\/(12\/(-33)). Determine m*d(k) + 2*n(k).\nAnswer: -2*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -10 - ((-40 - -21) + -13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let x be t(5). Let l(d) = 6*d**2. Let b(r) = 3*r**2. Calculate x*b(k) - 3*l(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9ca0 (base 16) in base 6?\nAnswer: -22523412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {v: 4, c: 8, s: 1}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s = -96*s + 54*s - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((12\/4)\/(-3))\/((-1)\/4). Solve -3*p - 2 - a = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 200\/72 - (-2)\/9. Let w(y) = 5 - 4*y**3 - 3 + 3*y**t + 2 + y. Determine w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2*-1 - 160\/(-72).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**7\/70 - y**6\/40 + y**5\/20 + y**4\/8 - 22*y**2. Factor d(u).\nAnswer: -3*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1800 = 2*g - 3*d, -4*d = g - 431. Sort g, 5, -5 in descending order.\nAnswer: g, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/88)\/(1\/4*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -414377*d**2 - 7*d + 4. Let s be r(-4). Round s to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.56 + 23.06. Suppose 13 = 5*m - 2*y, -4*m + 3*y + 11 = -5. Which is the nearest to m? (a) u (b) -4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/2646*21*7\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/6 - 5\/15. Let c be a\/27 + (-25)\/(-9). Suppose -164 = -5*h + g, -g = 3*h + c*g - 80. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8783*i + 6551*i - 200880 = 0 for i.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -291. Let h = b - 176. Suppose 5*t = u - 33, 2*t - 15 = -u + 25. Calculate the remainder when u is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 2 + 0)*(-22*o - 48 + 48) + 0 + o + 0)*(2 - 2 - 2*o)*(5*o - 3*o - o)*(8 - 1 - 2) in the form f*o + y*o**2 + q + s*o**3 and give s.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 132*d**2 - 27*d - 1871. Calculate t(-66).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34233 + 52811 + 60148 = 12*c. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 3379.\nAnswer: 3\/3379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14814329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 3*a + 7. What is the units digit of v(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1 (c) 1.04 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 4 - 3 - 3 + 2. Let g be y(-8). Let s be ((-4)\/14)\/(35\/(-49)). Are s and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (147\/10)\/(-7). Let v = -41.602 + 41.902. What is the biggest value in u, -0.4, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 3*l - 102, 479*p + l - 38 = 481*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 513 in 4, 0.3, 2\/9, 10, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 565.8 from 3419.\nAnswer: 2853.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63518 is divided by 2645?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744141.\nAnswer: 7, 193, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + v - 60. Let p(t) = 119 - 24*t**2 + 5*t**2 - 2*t + 10*t**2. Let o(m) = -5*a(m) - 3*p(m). Find the first derivative of o(j) wrt j.\nAnswer: 14*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3670?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4039 - 4039 + 2089*b**3.\nAnswer: 2089*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8976*s**3 - 4*s**2 - 8*s. Let m(c) = 17945*c**3 + 7*c**2 + 14*c. Calculate 8*m(i) + 14*w(i).\nAnswer: 17896*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - c + 6046, -9*f + 4*f + 7545 = -5*c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 114*k**2 + 65*k + 64. Calculate the remainder when y(-1) is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*b + 155 = 0. Suppose 4*l + 15 - b = 0. Suppose 162 = -2*a + 170. Solve -l = -0*p - a*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5017*r - 25355. Determine h(5).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1930417693 to the power of 1\/4, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 - s - 1. Let m(h) = 2*h**3 - h**2 + 8*h - 21. Let t(o) = 3*b(o) + m(o). Let a be t(-8). Solve -n - 12 + 11 = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185 + 199. Let z = 0.19 + -0.29. Which is greater: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -53?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 + 25?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80183 and 13733?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -52. Suppose p - 23 = -2*v, -7*v + 12 = -p - 2*v. Which is the closest to q? (a) p (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90726, 181615, 272512, 363417, 454330, 545251?\n\"Answer: 4*x**2 + 90877*x - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28081571 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281.961 - 0.039. Let k = s - -282.0066. What is k rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = -j. Suppose j*t - 3 = 4*t. Let k = 4 - t. Are k and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9511 divided by 32?\nAnswer: -9511\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8776*c**2*o**3 - 15685*c*o**3 + 2*c wrt c?\nAnswer: 17552*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4 - 1119038*m**3 - 4476128*m**2 - 4476120*m = 0?\nAnswer: -559515, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401 is divided by 157.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 807511?\nAnswer: 12112665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/469?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.499 and 6.\nAnswer: 2.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24215850 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (250 - 250)\/(1*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -373192, -746111, -1119034, -1491961?\n\"Answer: -2*v**2 - 372913*v - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1776 (base 11) in base 6?\nAnswer: -14245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 97155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 - 3*j. Let y(f) = 6*f**3 - 6*f**2 - 16*f. Let k(w) = -16*g(w) + 3*y(w). Factor k(x).\nAnswer: 2*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 80, 13, -70, -175, -308, -475, -682, -935?\n\"Answer: -x**3 - 2*x**2 - 54*x + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003579204 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21386246245 - -21386245929.99999869. Let l = k + 315. Round l to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18 + -8 - 279\/27. Which is the closest to 2\/7? (a) f (b) 2 (c) 2\/29 (d) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 5*d - 6*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 + 8*u**2 + 12*u**2 - 42*u**2 + 16*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**2 + 11*h**2 + 9*h**2.\nAnswer: 37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.277458 to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9761 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4176*m**3 - 6*m**2 - 598*m.\nAnswer: 25056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 - 3*v + 3*v + (1 - 1 - 1)*(v**5 - 3*v**5 + v**5) + 85*v**4 + 3*v**5 - 85*v**4.\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - v**2 - 3*v. Let x(j) = j**2 + 15*j - 13. Let k be x(-16). What is m(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/9)*o**(-16)*o*o)\/(o**10\/((o**(-4\/21)*o)\/o)) assuming o is positive.\nAnswer: o**(-1531\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -119. Let n be r\/(-5) + (-36)\/(-3). Suppose -m + n = -2*g, -2*m = 6*g - 2*g. Solve 2*j - 6*j + m = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert db1d1 (base 15) to base 12.\nAnswer: 296707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6656413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h\/(h\/h**(-16))))*h*h\/h**0 assuming h is positive.\nAnswer: h**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 5*z, -2*z + 4*z = -t - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1092)\/312)\/(14\/(-4)*17\/(-238))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166.93 + -9.93. Let m = o - 155.5. Sort 8, m, -0.5 in decreasing order.\nAnswer: 8, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411790445.\nAnswer: 3, 5, 13, 167, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -153.632 times 56.9\nAnswer: -8741.6608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79352 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6919 - -15494. Calculate the greatest common factor of 140 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o + 1261 + 3148 - 10*o + 22*o to x + y*o and give x.\nAnswer: 4409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*v + 50*v**2 - 22*v**2 - 113*v.\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 6*t - 5. Suppose -4*k - 2*a + 2 = -6, -14 = -2*k + 4*a. Let s be f(k). Is s at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 29*d - 6. Suppose -5*m - 24 = -4*o - 7*m, 12 = d*o + 3*m. Suppose 3*g = 2*g + o. Calculate the smallest common multiple of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 11*l + 8. Let j be r(-8). Calculate the greatest common divisor of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.1006 + -11668.78?\nAnswer: -11629.6794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 171*x**3 - 6*x**2 - 31*x + 32. Let n be o(1). Solve 0 = -6*w + n - 196 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*b**2*c**2 + 8*b**2*c + 434*c**2 wrt b.\nAnswer: -14*b*c**2 + 16*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000026626 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(3 + 39\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((5550\/(-350))\/(-37))\/(3\/21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45198 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*c - 65 = -c, -5*c + 7 = 2*l. Calculate the least common multiple of 2 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 21*r + 4. Let p(t) = -2*t**2. Give o(p(a)).\nAnswer: -42*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40244303 (base 5) to base 16.\nAnswer: 4e924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -294, -300, -292, -270, -234?\n\"Answer: 7*x**2 - 27*x - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:42 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*s - 393*s = 49*s + 3708 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -27456 less than -27361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*s + 19, 4*s = -5*y - s + 5. Let j(n) = 6*n**3 - 5*n**2 + 6. What is the hundreds digit of j(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*f - 32, -b + 2*f - 26 = -2*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 bigger than 249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7600 and -1.28.\nAnswer: -9728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10963*t = -11000*t. Which is the third smallest value? (a) 3 (b) 6\/103 (c) -0.3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4408 - -4410.1055. Let d = b + -2.1. Round d to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -364 + 363.553. Let w = -0.55 - b. Round w to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6359?\nAnswer: 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2854 less than or equal to -2854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqeeqqeedeedqdqeqqe. What is prob of sequence de?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*o + q, -3*o - 2*o + 4*q - 12 = 0. Factor -6 + o*x**2 - 8*x**2 - x**2 - 9*x**3 + 3*x**2 + 21*x.\nAnswer: -3*(x - 1)*(x + 2)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.009 + -19.009. Let i = m - -19.000000076. What is i rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 2*t**4 - 28 - 6*t**4 + 4*t**3 + 2*t**4 - t**2 to u*t**3 + m + p*t**2 + c*t**4 + r*t and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -770, 1\/5, -0.2, -4\/5 in descending order.\nAnswer: 1\/5, 0.02, -0.2, -4\/5, -770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -49*u + 539. Let j be l(11). Which is the nearest to 0.05? (a) 5 (b) j (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 13120317?\nAnswer: -196804755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 7*b - 20. Let o(q) = -5*q**2 + 11*q + 31. Let y(s) = -5*o(s) - 8*t(s). Determine y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3*(-7210)\/(-412) - -13. Suppose 16\/15 + q*n - 2\/15*n**3 + 2\/15*n**2 = 0. What is n?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 5*o - 58 = -2*t, 0 = -3*o - 6. Let v = t + 13. Solve -y + 3*j = -2, 4*j = 4*y + v + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8.991, -20, 5?\nAnswer: 8.991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000064218586 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8602.\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 9. Let t(z) = 2*z - 9. Let b(p) = -3*n(p) + 2*t(p). Let f be b(0). Let y = -12 - -15. Solve 0*a - 4*v = 5*a + 12, 0 = y*v + f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26022 (base 8) in base 14?\nAnswer: 417c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 750?\nAnswer: 74d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12851 is divided by 2569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 0, 3*q - 1 = -l - 0*q. Let v(z) = z**2 - 2*z + 1. Let h be v(l). Solve h*p = -2*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + 1043 + 1171 + y**3 - 693 - 2*y as t*y**2 + f*y**3 + h*y + g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 50846278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6946747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*q = 11, -4*m + 3*q - 15 = -47. Suppose m*k + 6 - 91 = 0. What is the remainder when 64 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 2 + -1 + (-49 - -23) + 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/102*-1*(-1014)\/(-676)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1307*x**3 + 1 + 0*x - 3*x - 435*x**3 + x**4 - 436*x**3 + 4*x**2 - 444*x**3 to the form g*x + f + t*x**4 + r*x**2 + w*x**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5001 + 2*h**3 + 942*h**2 + 80*h - 5001 - 77*h in the form y*h**3 + g*h**2 + f*h + w and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 7.43.\nAnswer: 3.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7 + 3 = 0. Let v(a) be the first derivative of 9*a**2\/2 - a + 1. Let m be v(o). Solve s = -3*s - m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-166)\/(-4) + (-2)\/4. Let s = -1529 + 6155\/4. Find the common denominator of z\/(0 + 5\/1) and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v - 1)*(v - v + v**2) + v**3 - v + v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 - 6*h + 10. Let l be f(5). Let u be l\/(-14)*(-7)\/2. Let p(c) = -10*c. Let x be p(-5). What is the greatest common divisor of x and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -53. What is the least common multiple of 8 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.47246 to one dp.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15387, 30776, 46163, 61548?\nAnswer: 76931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(7\/3))**(3\/8) assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s + 8. Let w be (s - 10\/(-4))*0. Let b(q) = -q**3 - q**2 - q + 3. Give b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.47 + 0.03. Let p = 0.6 - j. Let q = -0.2 + p. Which is the nearest to q? (a) 5 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1968 = 8*a. Suppose -5*f = 4*o - 0*f - a, -2*o + f = -150. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 64 (b) 4 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 5*v + 5*v)*(4*v**2 + 0*v**2 + v**2) + (0 + 0 + 1)*(-v**3 - 3*v + 3*v) + 198 - 32*v**3 - 198.\nAnswer: -38*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 1163572*o - 581820*o - 581735*o.\nAnswer: 6*o**2 + 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26462207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = 11*p - 6*i - 5, 5*p + 25 = -5*i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 3*s + 0*s + s + 1. Let q = -50 - -51. Give l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3 - 284*k**2 + 562*k**2 - 308*k**2 + 66*k - 4 - k**3 - 30*k**3 = 0.\nAnswer: -2, 1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3 - -2) + -3. Let f = 2 - l. Suppose 5*m + 0*o = -4*o + 32, 0 = -f*m + 5*o + 5. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -7*l**6\/120 - 5*l**4\/24 + 5*l**3\/6 - l**2 + 5*l. Let m(r) = -7*r**3 - 4*r + 4. Calculate 5*m(c) - 4*v(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.2 - 33. Let h = -83 + 87. Let q = n + h. Put 0.6, q, -2\/15 in ascending order.\nAnswer: -2\/15, q, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/6*i**4 + 0 + 0*i - 2\/3*i**3 + i**2. What is the remainder when 23 is divided by g(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10080591.\nAnswer: 3, 3360197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 14) to base 11.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzrjjr. What is prob of picking 2 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -242, 236, 5, -2 in descending order.\nAnswer: 236, 5, 0, -2, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - y - 1. Let d(w) = -4*w**2 - 6*w - 1. Let z(p) = p**3 - 5*p**2 - 10*p + 42. Let l be z(3). What is l*a(f) + d(f)?\nAnswer: 2*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16134816554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 11*p**6\/720 + p**4\/8 + p**3\/6 + 102*p**2. Let o(k) be the second derivative of l(k). Let a(f) = 9*f. Determine a(o(m)).\nAnswer: 99*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 3. Let w be 1\/6 + 29\/6. Suppose f*n + c = 19, -2*n - 2*n - w*c = -40. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 8, 7, 21 in decreasing order.\nAnswer: 21, 8, 7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (1*8)\/(34\/187) and 14?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 641 = 8*g, 78*g - 81*g = -3*d - 216 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, k: 2, j: 2, s: 1}. What is prob of sequence ks?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0.2, -3, -3\/2, -59?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40197471817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 6*k - 5. Suppose -1 - k = -y. Solve -5 + 14 = -3*d, -13 = y*o - 4*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 - 3\/(198\/40)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8\/v)\/v*v**(-5\/3)*v)\/(v**9\/v)**(16\/11) assuming v is positive.\nAnswer: v**(-208\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 25*b + 110. What is the remainder when 155 is divided by d(-21)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1556)\/720 - (-2)\/15 and 10 + ((-441)\/30)\/7.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -10*q + 214. Let s(a) = -6*a**3 + 7*a + 7. Let n(j) = -j**3 + j + 1. Let p(m) = -5*n(m) + s(m). Give p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (30 + -2 + 22)*37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/9 + 296*m**4\/9 - 14154*m**3 = 0. What is m?\nAnswer: -337, 0, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 794450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -2*a + 14*a + 4, -15 + 11 = 2*b + 2*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11703 minus 0.3916?\nAnswer: 11702.6084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 14*m**5\/15 + m**4\/24 - 17*m**3\/6 - 23*m**2 - 3. Is 26 a factor of i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -2.2. Let u = -48 - -44. What is the smallest value in u, 5, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 2, -5, 1\/147?\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2994*s - 3358 = 2848*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 56 = u. Which is smaller: 27\/2 or u?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26160 + -26170. Put m, 2\/7, 0.56, -5 in descending order.\nAnswer: 0.56, 2\/7, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188852295?\nAnswer: 3, 5, 2417, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*x - x + 4*x + (-2*x + 0*x + x)*(5 + 0 - 3) - 2 - 2*x + 2 in the form n*x + s and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.186 times 5.52?\nAnswer: 1.02672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 2316, 8483, 20464, 40197?\nAnswer: 69620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(16\/10)\/2. Suppose -3*k = -7*k. Suppose -3*p + 2*c + 14 = k, 0 = -2*c - 2*c - 16. Is w less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/13 or 0.171?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 111 - -5?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387850780 divided by 8090.\nAnswer: 47942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827350063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)*2 + -3*(sqrt(70) - sqrt(70)*2))\/((sqrt(810) - sqrt(810)*2)*3*2).\nAnswer: -5*sqrt(7)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybb when three letters picked without replacement from {h: 4, y: 1, b: 4, u: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from becelbvebbbbplbvbbb. Give prob of picking 2 v and 2 b.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*t + 57*t + 306. Let g = t + 102. Solve 7*h - 3*h + u - 4 = g, 4*u + 12 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 704534808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3039020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.228 + 1.792. Let u = -0.02 + h. Which is the nearest to 0? (a) 0.5 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 31864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 8*a + 3. Let w be p(-7). Sort w, 5, 1\/5, 0.1.\nAnswer: w, 0.1, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + 79. Solve 4*w - h + 10 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 4772*k + 10 + 4775*k - 9549*k.\nAnswer: -2*k - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80788*f**2*z + 2971*f*z - 382810010*z with respect to f.\nAnswer: -161576*f*z + 2971*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**2*g**2*t - 7*b**2*g**2 - 283*b*g**2*t - 2*g**2 wrt b.\nAnswer: 18*g**2*t - 14*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-128 + -1)\/(19\/(-57)). What is the greatest common divisor of 559 and w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 46, 62?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 7*d + 5\/2*d**2 - 2\/15*d**3 + 1\/75*d**5 + 0 + 3\/20*d**4 - 3\/100*d**6. Let b(m) be the first derivative of l(m). Factor b(p).\nAnswer: -2*(p - 1)*(p + 1)*(9*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 125697, 251398, 377099, 502800?\n\"Answer: 125701*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072 (base 9) in base 11?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, y: 2, n: 1, b: 1, f: 4, j: 3}. What is prob of sequence byf?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-8 - -2 - -4 - -5). Suppose 3*z = y + 5, -5*z - f = 2*y - 0*y. Suppose 3*v - 6*v + 2*j + 126 = z, -v = 5*j - 42. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and 3663.97956?\nAnswer: 3679.97956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 24 = -3*h, -6*u = 4*h - u - 1. Let j be -1 + 22\/h - 3. Which is smaller: j or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170314800 rounded to the nearest one hundred thousand?\nAnswer: 170300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*b - 396*b - 313*b = -858 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/9)\/(220\/2145).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzss. Give prob of sequence sz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (2 - -10) - 3) + (13 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88680933, 177361863, 266042793, 354723723, 443404653?\nAnswer: 532085583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1526 (base 16) to base 4.\nAnswer: -1110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121957565.\nAnswer: 5, 31, 786823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 16555*h**2 + 10*h - 15. Let x(y) = -y**3 - 24832*y**2 - 14*y + 21. Give 7*n(q) + 5*x(q).\nAnswer: 2*q**3 - 8275*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65424381 divided by 470679.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/63 + 82\/7. Let g be (18\/c)\/(1\/2). Let a be (1\/2)\/(g\/6). Solve 2*y = 5*m + a, 2*y + y = -3*m + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -519*g*h**2 + 4*g*h - 3*g - 67497*h**2 wrt g?\nAnswer: -519*h**2 + 4*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.96*3.4\nAnswer: -3.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1458502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t - 9. Let m(h) = -3*h. Let n(k) = -7*k - 1. Let r(l) = -5*m(l) + 2*n(l). Let y(u) = 9*r(u) - 2*z(u). Let o(g) = -g. Determine 6*o(c) + 5*y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.5 + -8. Let k = -2.41 - -8.41. Let w = k - y. Which is the closest to -2\/3? (a) -1 (b) -8\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*s - 4*s**3 - s**2 + 52 + 50*s + 21*s.\nAnswer: -4*s**3 - s**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 256 and 132187704421?\nAnswer: 132187704165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -116381, -116488, -116787, -117374, -118345, -119796, -121823, -124522?\n\"Answer: -16*s**3 + 5*s - 116370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + h + 4*h - 9. Let m be a(11). Find the third derivative of -15 + 5*p**4 + 15*p**m + 6*p**2 + 15 wrt p.\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110200 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -34. Let f = h - 7. Let s = -47.019 + f. Round s to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-364)\/156)\/(14\/(-1374)) is divided by 99.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(-45) + -2 + (-19257)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103422750 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*f + 1362 = -112*f. Solve 37*t - 35*t + f = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 18. Let f be b(6). Suppose w + 0*w = f. Solve w*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 21*q**4 - 191*q**2 - 22*q**3 + 191*q**2 + 19*q**3 in the form t + a*q**2 + y*q + z*q**3 + k*q**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5520*g + 4 = 5522*g. Solve g*l - 39 + 43 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 2259, -3, 1, -4 in descending order.\nAnswer: 2259, 1, -3, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1248 divided by -416.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = -11. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.1193709 to 3 dps.\nAnswer: -27.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*r**3 - 1906480*j*r**2 + 200871*j*r - 28*r**3 - 255*r wrt r.\nAnswer: -12*j*r - 3812960*j - 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 19. Find the common denominator of (-2)\/4*(t + 76) and (-4850)\/(-20)*(-5)\/50.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*a**2 + 920*a - 129*a**2 + 27*a**2.\nAnswer: 2*a**2 + 920*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9548 + -6596. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 202*s + 233. What are the prime factors of j(12)?\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2581430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 3*sqrt(133)*4 - 5*1*sqrt(133))\/((sqrt(126)\/sqrt(48))\/((sqrt(600) + -2*sqrt(600) - sqrt(600)) + sqrt(600))))**2.\nAnswer: 1945600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 297 - 67 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -128 (b) 47435 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/((-144)\/(-72))*5\/(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38270437.\nAnswer: 3259, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 6:07 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9371 is divided by 3095?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*t = 90*t - 3773. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3)*o*o*o\/o**(-4)*((o\/(o\/o**(4\/5)))\/o)\/o*o\/(o\/(o**(2\/3)\/o)) assuming o is positive.\nAnswer: o**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*g - 14, -4*r + 7 = -3*g + 4*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwcrwxnxn. What is prob of sequence xr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/7 (b) -1 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41468.982989 - -41469. Let y = -27 - -27.017. Let o = y - p. Round o to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(242) - (sqrt(242) + (2 + sqrt(242) - sqrt(242)) + sqrt(242) + sqrt(242) - sqrt(242)))*1 - sqrt(242)*-1*6)**2.\nAnswer: -220*sqrt(2) + 6057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 16 = 4*j, -4*f - 19 - 24 = -27 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/156*8\/(-5)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1729 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33462\/29172)\/(4\/(-34)).\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2545 divided by 7\nAnswer: -2545\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -225.8, 10.1 in decreasing order.\nAnswer: 10.1, -1, -225.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/2 - 7851*n**3 - 346533*n**2\/2 - 953964*n.\nAnswer: 3*n*(n - 5256)*(n + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264 is divided by 321.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1187, 0.2, 1, -20?\nAnswer: -1187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 39. Give j(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)\/a)**(3\/11)\/(a\/((a\/a**(2\/23))\/a)*a**(-7)))\/((a\/(a*a**2*a*a*a))**(-12\/7)\/(a**(-3\/8)*a*a**(4\/5))) assuming a is positive.\nAnswer: a**(-111523\/70840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*29 + (90\/9 - 7). Let s be -9*(3 + l\/(-36)). Let p be (-239)\/(-3) - (-2)\/6. What is the greatest common factor of s and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 871, 6\/85, 4.\nAnswer: -2\/3, 6\/85, 4, 871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 0 - (-2 + -5). Suppose 0 = u*r - 24 - 3. Solve -3*m = -5*v - 22, -7*m = -r*m - v - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 12 = 2*s, 5*o = o + 3*s - 14. Let u be ((-8)\/(-3) + o)*-3. Let d = 3 - u. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -193 (b) 4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 7:53 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 117.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4225, -16995, -38287, -68101?\n\"Answer: -4261*j**2 + 13*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjmgqpppqqgmqpqm. What is prob of sequence mgg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -52. Let j(h) = 3*h**2 + 2*h. Let m be j(-4). Let w = m + b. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -23. Suppose 5*z = 4*z + 8. What is the least common multiple of z and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -53.614274 and -43?\nAnswer: 10.614274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1345 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1838001*w**2 - 8*w + 9. Let p be s(1). What is p rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-24)\/18)\/(-5*2\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(9\/3)*(-15)\/(-5). Suppose c*a = -3 + 15, -2*a - 32 = -4*y. Let k be 1\/((-6)\/(-5) + -1). Solve 0*r - y = k*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*m - 3*f, 3*f - 5 = -5*m + 8*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 6*t**2 - 28*t - 13*t - 10*t + 3 + 24*t.\nAnswer: 6*t**2 - 32*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1919613, -1919614, -1919615, -1919616, -1919617?\n\"Answer: -t - 1919612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6.5. Let j = -1237 - -1237.3. Let v = 1\/55 - -49\/330. Which is the third smallest value? (a) j (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p + 2. Let m(z) = -z**3 + z + 1. Let k(q) = 7*q**3 - 4*q**2 - 11*q - 6. Let v(a) = -k(a) - 6*m(a). Let u be v(p). Solve u = -r - 0 - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913604 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -734926 divided by 1.\nAnswer: -734926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + y - 3 = 0, 4*y = -5*a - 1 - 1. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3531 - -3577. What is the remainder when 151 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -604, 793, 3144, 6467, 10780, 16101, 22448, 29839?\nAnswer: 38292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001152 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4728066 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: Collect the terms in n**2 + 3*n**2 - 4*n**2 + 8*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7850 (base 14) to base 15.\nAnswer: -629b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/100 - 13*h**4\/40 + 3*h**3 + 3*h**2 - 26. Find l, given that j(l) = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -125*g - 1741. Let x be v(-14). Solve -1 = -h - 3*k, x = -2*h - 4*k + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00391331 to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3 - (-108)\/81 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**6\/240 + 7*u**5\/120 - u**4\/8 - u**2 - 50*u. Let r(k) = 0. What is k?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, o: 2, g: 7, v: 1, k: 2}. Give prob of sequence xvx.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201060.\nAnswer: 2, 5, 7, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -18 + -16 - (-8 - 1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-760))\/((-156288)\/494912).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1232810 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -27. Let z(w) = 35*w**4 + 50*w**3 + 20*w - 20. Let u(t) = 5*t**4 + 7*t**3 + 3*t - 3. Let n(r) = h*u(r) + 3*z(r). Factor n(b).\nAnswer: 5*b**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*s**2 - 113*s**2 + 54*s**2 + 2*s + s**3 as y + z*s**2 + g*s + v*s**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -1698*h**5\/5 + 11351*h**2\/2 - 429*h + 4. Differentiate y(i) with respect to i.\nAnswer: -20376*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1889 - -3529. Suppose -60*p = -58*p - a. What are the prime factors of p?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 4*l**2 - l - 3. Let c be k(3). Suppose -c*f + 56 = -2*f. What is the highest common factor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b**2 - 3*b + 2*b + 13*b**2 - 25*b**2. Let m(y) = -y**3 + 6*y**2 - y + 10. Let l be m(6). Calculate t(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -12. Let l(b) be the second derivative of 7*b**5\/20 - b**4\/12 + b**3\/6 - 8*b. Let i be l(d). What is the highest common factor of 63 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -23*n**2 - 13*n + 7. Let x(o) = -12*o**2 - 7*o + 4. Let j be 3\/(-2)*(19 + 45\/(-3)). What is j*s(z) + 11*x(z)?\nAnswer: 6*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 302613 + -190852. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x - 1380 = 0. Let r be 36 - 4\/8*-18*(-32)\/48. Calculate the greatest common divisor of x and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 14. Let w be v(-12). Suppose -3 = -t - 0, 2*a - 40 = w*t. Calculate the common denominator of 38\/3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -b - 5. What is the remainder when b is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 768*f + 14700 - 4838*f - 14700 in the form h + i*f**2 + s*f and give s.\nAnswer: -5606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 + 0*t**2 - 2*t**2 + 0*t**2 - 6*t**2 + 5*t**2 - 2*t + 2*t**2 + 2*t + (-2*t + 2*t + 2*t)*(-t + 2*t + t) + 0*t**2 + 12*t + 2*t**2 + 14*t.\nAnswer: 10*t**2 + 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.38 and 9478.\nAnswer: 9477.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 40 = -10*x + 9*x, 4*x - 24 = -3*r. Solve x = -111*q + 117*q + 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1843 and 15035.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21142156 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 2*p + p)*(6 - 16 + 14) to the form c*p + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 93*q + 1419. Calculate m(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 18*s**2 + 16*s + 3. Let r be a(18). Suppose -4*x - r = -1763. Suppose 5*w - 3387 = x. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 21*q - 111. What is u(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1557823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001110 - 100000100000?\nAnswer: -100011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342569721*h**2 + 342569452*h**2 - 685139174*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14806030.\nAnswer: 2, 5, 571, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1922 or -107?\nAnswer: -1922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*r + 30. Find the first derivative of 0 + 38*t**3 - 6 - 4 - r*t**3 wrt t.\nAnswer: 75*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34293 in -2, 1.5, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 42 = 8*o. Let d be (5\/(-2))\/(o\/(-14)). Suppose -4 = -2*j - q, -5*j + q = 6*q - d. Solve -2 = x - j*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a)*(-1417*a + 2878*a - 1281*a)*(3*a**2 - 2*a**2 + a**2).\nAnswer: -720*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*p = -60, d + p - 16 = -2*p. Solve -4*k = -d - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 20. Put s, -0.3, -4 in decreasing order.\nAnswer: -0.3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276 divided by 3\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 53 - 327 = 0. Suppose 3*u - 27 = -2*k + k, -3*k - 4*u + o = 0. List the prime factors of 1*k\/5*5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -301*q + 279*q + 44 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, x: 6, w: 4, g: 4}. Give prob of sequence lgxl.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01967 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*d**5 - 2*d**4*w - 19*d**2 - 7*w wrt d?\nAnswer: -6300*d**2 - 48*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-4)*b))\/(b*(((b*(b**(-7\/2)*b)\/b)\/b*b)\/b)\/b))\/(b**(-11)*b**(1\/4)\/b) assuming b is positive.\nAnswer: b**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*p + 19 = 3*w, 2*p - 17 = 3*w. Let h(s) = s**2 + 2*s - 3. Let f be h(-3). Suppose 3*j + j = f. Sort -1, j, w.\nAnswer: w, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65557315 by -853.\nAnswer: -76855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + -4 + 9 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 + 118\/(-8). Let z be (-10)\/f - (-22)\/(-6). Let j = z - 0. Is -2 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -12 (b) -5 (c) 0.04 (d) 3\/4 (e) -4\/7 (f) 14770\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -16*u - 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 630981?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 872 and 57632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) + (-407)\/(-77). Suppose -3*f + y = -4*b, -3*b + 42 + 5 = 5*f. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - s**2 - 3*s - 1. Let p(v) = -2062*v**3 - v**2 - 5*v - 5669. Let r(o) = -p(o) + 2*z(o). What is the derivative of r(x) wrt x?\nAnswer: 6174*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2065.727 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/1295 and 92\/86025?\nAnswer: 602175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j, 4*j = 3*f + 3*f + f + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3663524 years?\nAnswer: 0.03663524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyphhaf. What is prob of sequence ah?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/13, -7431, 1\/247.\nAnswer: -7431, -0.4, -2\/13, 1\/247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864809 and 2508.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3.8.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -640*a**3 + 2*a**2 - 1. Let q be y(1). Suppose 4*b + 3485 = 2*b + r, 5*r - 1765 = b. Let j = q - b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2491, 10047, 22669, 40363, 63135?\nAnswer: 90991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*a - 5 = 0, -3*a - 3 = -0. Suppose -7*q + 15 = n. Is (q\/(-2))\/(1\/(-233)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57638 divided by -14.\nAnswer: -4117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 52*m - 1014.\nAnswer: -2*(m + 39)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - y - 33 = -33, -5*w + y = 55 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3788*g - 11 - 1 - 12 + 24.\nAnswer: 3788*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -254, -377, -500, -623, -746?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 655565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 1023 - 975 = 4*o, -5*n = 4*o - 0*o - 52 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10896 minus 1?\nAnswer: -1.10896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47610 by 9522.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 9*p**2 - 25 - 2*p**3 + 10*p**3.\nAnswer: 8*p**3 - 9*p**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 + 3*k + 2. Let g(s) = -9*s - 16. Let c be -3 - (3 - ((-96)\/(-4))\/6). Let a be g(c). Give r(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2 - 5) + 3)\/(-2 - -1). Suppose r - 24 + 19 = d. Solve -4*a - 17 = 3*l, l + 21 = -3*l - r*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*l - 7. Which is smaller: l or -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/((v**(-6)*v)\/v))*v\/((v*(v*v\/(v*(v*v\/((v\/(v*v*v**(-2\/41)\/v*v*v))\/v)*v)\/v))\/v)\/v) assuming v is positive.\nAnswer: v**(-2\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + v**2 - 17. Let l be r(0). Let f = l + 20. Let j(p) = -p - 2. Let o be j(-1). Sort f, 4, o in descending order.\nAnswer: 4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11274508366858\/7 + 11510382356390424365\/7146447. Let v = z - -2\/30937. Find the common denominator of -9\/121 and v.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 4 = -8*p. Suppose 0 = -4*x + 4, -5*x - 35 = 4*u - 8*u. Solve 0 = p*t - 3*f - u, -3*f = -6*f - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 599980433 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27185.67ng?\nAnswer: 0.00000002718567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 + 6*u**4 - 48*u**4 + (-2 + 5 + 0)*(-239*u**4 + 40*u**4 - 204*u**4) to the form c*u + l*u**3 + q + o*u**4 + x*u**2 and give o.\nAnswer: -1250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*u + 55, u = -2385*y + 2384*y + 59. Let j(p) = p + 29. Let s be j(0). Calculate the highest common factor of y and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 + -13 + 8\/2. Suppose 4*f + y = 10. Suppose f*j - v - 153 = 29, j + v - 91 = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 27 (c) 1\/86797\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -14. Let l = 26 + -17. Let w = l + -8. Which is the closest to w? (a) 1\/3 (b) 2\/13 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16617 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 the closest to 6 in 4\/3, 4, 6, 0.34, -3\/71, -2\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2303?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - r**2 - r + r**2 - 5*r in the form l + a*r + b*r**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47954 is divided by 6846?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*30\/(-20)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8347d (base 16) to base 13\nAnswer: -15a9a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 225*u + 5601. Calculate g(-75).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4520.81 micrometers in meters?\nAnswer: 0.00452081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/21)\/((-6)\/8) - (-4)\/70.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 410 (base 11) to base 8\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*w + 5, -5*t + 5*w = -2500. Let f = t - -2174. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022 (base 4) in base 8?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 15*a + 166. Determine z(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 31 = -2*d, -2*d + 4*m = -6*d + 48. Let g = 14 - d. Does 16 divide (-4 + 216\/4)*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 126708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-74)\/(-8) - (-14 + 19) and 2928\/(-768) - 2\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-20\/9))**(-7\/6) assuming p is positive.\nAnswer: p**(70\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 4\/(-6)*(4 + -7). Let a = r - -3. Suppose 171 = 5*m - 0*q + 2*q, 4*q = -a. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1176 and 11?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16*l**2 + 17*l + 23. Let f(v) = -v**2 - v. Calculate 12*f(i) + w(i).\nAnswer: 4*i**2 + 5*i + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222994 = -4*f + 3*c, -2*f - 50677 - 60831 = 4*c. Round f to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 31*t - 35*t - t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37944, -39513, -41082, -42651?\nAnswer: -44220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211387.1 nanometers in millimeters?\nAnswer: 0.2113871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 48, 3\/7, 21, 7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 j, and 1 x when four letters picked without replacement from jxvjjajvuxjxxv?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3308? (a) 0.4 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from jfageja?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7. Let a(h) = -2*h - 2644. Calculate a(q) - 3*d(q).\nAnswer: -2*q - 2665","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 + -281. Let g = -174 - v. Suppose -2*y = -0*y - 224. What is the greatest common factor of y and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106956794387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynnyy. What is prob of picking 1 y and 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + -4*(sqrt(275) - (sqrt(275) + 0)) + (((1 + sqrt(275))*2)**2 - sqrt(275) - sqrt(275)))*-2.\nAnswer: -2199 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304137?\nAnswer: 3, 47, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 57 + 49 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + ((-22)\/(-2) - 28\/7). Solve m = t - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 - 13*j**2 + 6*j - 12. Calculate k(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48640.3 years to months.\nAnswer: 583683.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 39 + 39.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3725 divided by 373?\nAnswer: -3725\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m**2 + m - 3. Let u(w) = 4*w**2 - 2. Calculate -7*u(q) - 3*v(q).\nAnswer: -q**2 - 3*q + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -25, -53, -81, -103, -113?\n\"Answer: b**3 - 9*b**2 - 2*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 790*v**4 - v**2 - 11*v - 407*v**4 + 1 - 372*v**4 as q*v**2 + h*v**4 + t*v**3 + a + b*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 112*v**2 + 466*v + 236. Let l be t(-116). Solve 3 = -l*r - 3*k + 22, 1 = k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (1 + -2)*3. Suppose -5*z + 20 = -0*z. Suppose z*d + 12 = -3*n, -4*d - 2*n - 5 = 3. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10203994 + 10203993.1999983. Let b = 0.74 + 0.06. Let w = b + z. What is w rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -326*f**3 - 742416*f**2 - 4440478*f + 5183220 = 0.\nAnswer: -370230\/163, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/16 and 43\/284234?\nAnswer: 2273872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (30\/2)\/(-3). Suppose -z*h + 51 - 18 = 0. Let b = 31 - h. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132730892509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 15 = -5*v + 4*y, 3*v = 5*y - 37 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3649 divide 2254042035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 49600592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -6)*1 - -6. Let v = -3.7 - 1.3. Sort v, u, 2, -0.1 in ascending order.\nAnswer: v, -0.1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from bvxzxhbzhxzxzhhzwb?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 550 - 507. What is the greatest common factor of 989 and l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -30. Let i = -12 + q. Let v = 17\/39 - 10\/13. Which is the third smallest value? (a) 0.5 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + (6 - (11 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 7. What is the units digit of h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 + 147*t**3 + 911 with respect to t.\nAnswer: 8*t**3 + 441*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19922 + 21704 = 99*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101)\/505*15\/(-20)*10*(-200)\/(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -304?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjmmmmmjmjm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 (base 13) in base 5?\nAnswer: -3241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 5:27 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200127, 400258, 600389, 800520, 1000651, 1200782?\nAnswer: 1400913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 3*t**2 - t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:11 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22035 by 13.\nAnswer: -1695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**4\/16 + d**3\/6 - 5*d**2\/8 - 3*d\/2 + 450. Factor z(i).\nAnswer: (i - 2)*(i + 1)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let p(i) = i**2 + 1490. Determine p(l(q)).\nAnswer: 4*q**2 + 1490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 2*k - 1. Let w be (2\/4 + 5 - 5)*22. Let a(h) be the first derivative of -16*h**3\/3 - 11*h**2\/2 + 5*h + 1. Determine w*m(o) + 2*a(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1119.5 - 1119. Which is the closest to 1? (a) -10 (b) 5 (c) -4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1768967, 7075867, 15920701, 28303469, 44224171, 63682807, 86679377?\nAnswer: 113213881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*n**2 + 16*n**2 + 9*n**2 + 6*n**2 + 90*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r = 10. Let s be 1\/((-36)\/(-16) + r). What is the first derivative of -4*i**4 + 3 - 2*i**s + i**4 wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -31. Let t(f) = f + f + s*f - 1 + 4. Let h(q) = 2*q + 1. Determine 8*h(k) - 3*t(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126.34 - -125.64. Sort 0.1, p, 3, -2, -19 in ascending order.\nAnswer: -19, -2, p, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 144. Let q be i\/(-45)*10\/(-14). Suppose -q + 2*c**2 + 10\/7*c = 0. What is c?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 8:50 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39419676 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfso when four letters picked without replacement from {o: 3, f: 2, d: 5, s: 6, y: 2, k: 1}.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + p = 2, -18 = -3*j + 7*j - 2*p. Let g(t) = 139593*t**2 - 57. Let f be g(j). What is f rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 = -7*m - 420 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*r + 1889 - 219, -1675 = -5*w + 4*r. What are the prime factors of (-7 + 9)\/(1\/w)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112106 is divided by 18646.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p\/(p\/(p\/((p**(-2\/11)\/p)\/p))))*p*p**(12\/11)*((((p**(-2\/3)*p)\/p)\/p*p*p)\/p)**22)**(1\/73) assuming p is positive.\nAnswer: p**(-487\/2409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -970.8 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9766678001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 - (-15 + 7 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 12 (c) -1\/5 (d) 2\/2047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1743 + 1435*k**3 - 967 + 689*k**3 - 466*k**3 - 3047 wrt k?\nAnswer: 4974*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 34.45509 decades?\nAnswer: 0.3445509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + -222. Let n = -267 - f. Is n > -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118948720 and 63800.\nAnswer: 594743600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1755 and 156561795?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233.989 + 234. Put -0.2, -3, v in ascending order.\nAnswer: -3, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * -0.08.\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -113 + -45 + 87 + -15?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/9 (b) -0.4 (c) 0.05 (d) 14 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119.47 - 119.46998524. What is d rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {m: 4, n: 2, u: 2, a: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 69085182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61264538.\nAnswer: 2, 59, 199, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 104*m**2 + 208*m - 183. What are the prime factors of i(104)?\nAnswer: 89, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w**2 + 68*w - 2914. Is l(35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2449260 divided by -33.\nAnswer: -74220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.66 - -0.34. What is the nearest to 1 in 1\/4, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a - 18. Let m(f) = -2*f - 21. Let p(i) = 5*j(i) - 4*m(i). Calculate the smallest common multiple of p(-3) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1634 = -130*b + 1896 + 3573 + 1217 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.04364 to zero decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1050)\/(-140))\/((-720)\/(-1824))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 131230 (base 5) to base 10\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37945511 to the power of 1\/2, to the nearest integer?\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(150\/24)*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(i - 9*i - 2*i) + i - i + 3*i + (0 + 0 - 2*i)*(-2 + 4 + 0).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -16*m**2 - 3*m - 15. Let a(h) = -24*h**2 - 4*h - 22. Let g(c) = 5*a(c) - 7*i(c). Let t(k) = 2*k**2 - 3 + 0 + 2 + 2. Calculate 2*g(z) + 9*t(z).\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 2 c when four letters picked without replacement from {c: 4, u: 4, l: 2, k: 4}?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2. Let a(c) = c**2 - 3*c. Let v be a(3). Let p(z) = z + v + 0 + 2*z. Give j(p(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 657*k**3*x**3 + k**3*x + 17*k**2*x**3 - 58*k**2*x**2 wrt k.\nAnswer: 3942*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.0653.\nAnswer: 0.03265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.7 - -7.7. Put j, -1.4, 4, -2\/3 in increasing order.\nAnswer: -1.4, j, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, -12 in descending order.\nAnswer: 4, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**2. Let i(u) = 14*u**2. What is i(o(w))?\nAnswer: 686*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 19*f**2 - 77*f + 582. Determine p(12).\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from tbbdbdbtdd.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6098880?\nAnswer: 2, 3, 5, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 48529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1192539 and 43059?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:44 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168 + -106. Suppose -7*s + k - 34 = 0. What is the remainder when 8 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 645.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 - 2. Let o(r) = r**2 + r. Give 2*o(j) + z(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (12 + 5)) + -15 + 82\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 512472997 to the power of 1\/2, to the nearest integer?\nAnswer: 22638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10566*y - 31718. What is h(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*m + 24. Suppose -5*j = -3*k - 314, j = -m*j + 5*k + 259. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86899, -86895, -86891, -86887, -86883?\n\"Answer: 4*d - 86903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from vvzmvzlmwcmmvvmczmzc?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 9}. Give prob of picking 1 f and 1 i.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -350813 - -350816. Suppose s = i + 3, 0 = -5*i + 4 - 19. Solve -h + 4*h - 2*a = -r, s = a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ppttttp.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -9023 less than -1\/5980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v + 81*v = -5*n + 657, 993 = 3*v + 5*n. Calculate the lowest common multiple of 20 and v.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -5, 2\/5, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + 70*l + 1176. Does 29 divide y(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -589 - -661. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuunn. Give prob of sequence uu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*r - 2. Let n be -13 - (-5)\/(15\/r). Let b be 8\/20 - 436\/n. What is the highest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3\/14 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**3 + 7*a**2 - 5*a + 3. What is d(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s)*(s - 5*s - 4*s)*(-5 + 2 + 2).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/4 - b**3\/3 - 9. Solve l(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1954 + 1953.9995405. What is y rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205079905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*i - 20 + 6, r = -i. Suppose 0 = -2*p + 4*a + 72, i*p - 34 = 5*a + 43. Let t = p - 14. Calculate the highest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4364 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 1 = 6*t + p, t - 7 = -5*p. Suppose 45 = -t*h + 131. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) -3637\/3 (c) -1\/17 (d) -5 (e) 1 (f) -14 (g) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*j**2 + 476 - 476)*(-j**3 + 0 + 0) + (-j**2 + 0*j**2 + 2*j**2)*(4 - 4 - j)*(-6*j**2 + 28*j**2 + 17*j**2).\nAnswer: -67*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31021 by 250.\nAnswer: 31021\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 36 + 94 = 0. Suppose 3*z - 4*r = 1023 + 1504, 3*z - 2543 = -4*r. Calculate the greatest common divisor of s and z.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = 5. Suppose f*d = d - 16. What is the second biggest value in -5, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3*l + 17, 5*d - 3*l + 332 - 307 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**25\/z)\/(z*z**36*z))\/(z**35*z**(-25)) assuming z is positive.\nAnswer: z**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*o*o**(-2\/9))\/o*o)\/o**(3\/5))\/((o\/(o\/o**5))\/(o**(-4)*o)))**(-40) assuming o is positive.\nAnswer: o**(2096\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4802.9 - 4803. What is the biggest value in 5, 0.4, -22, l, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 440.40125 to 2 decimal places.\nAnswer: 440.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - r**3)*(0 + 2 - 4) + 3*r**3 + 0*r**3 - r**3 + r**3 + 0 + 0 + (-r**3 - r**2 + r**2)*(-1 - 3 + 2).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -4. Let m(y) be the third derivative of -y**7\/2520 - y**5\/30 - 2*y**2. Let j(x) be the third derivative of m(x). Calculate j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111435203 (base 7) to base 13\nAnswer: 153607a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + 2*d)*(0*d - 47*d + 12*d) - 25*d**2 + 41*d**2 - 27*d**2.\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4546*z - 4107*z - 1878*z + 252966 = -231460 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmlmmm. Give prob of picking 1 l and 3 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409539, -1638160, -3685861, -6552642, -10238503, -14743444?\nAnswer: -20067465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*g - 8, 0 = 2*j - 3*g + 5*g. Suppose -x = -4*x - 6, -1648 = s + j*x. Let n = -3215\/2 - s. Find the common denominator of n and 75\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1253538 and 26324298?\nAnswer: 26324298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 6. Let m be n(8). Suppose -d = -m - 73. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dciw when four letters picked without replacement from {c: 2, d: 1, i: 1, o: 3, g: 3, w: 1}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2322 + 1212332?\nAnswer: 1221320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymm when three letters picked without replacement from mtymmtmtttummmmbmcm.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 8*i**2 + 5*i - 10. Let f be a(-7). Suppose 3*j = -2*p - p + 9, 0 = -2*p + f. Is ((-3310)\/25)\/j*5\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39620.239912 - -39620. Let a = -0.7 + 0.94. Let h = a + c. Round h to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18064 + 159\/(-15) + 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4099\/40 + 855\/8. Which is greater: k or 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvxqjxqwjvxxgjxvxgx. What is prob of picking 1 w and 1 j?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -3, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/6)\/((-2)\/3). Let u be (2 - 24\/3)\/y. Suppose -4*b = o - 21, 3*b = -2*o + u*o + 7. Solve 4*w + 2*m + m + 24 = 0, -5 = -5*w + o*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 4*c**2 - c + 2. Let a be m(-4). Let i be 10\/a + 6\/18. Let v be i\/(-9) - 4\/(-72)*4. Solve -r + 6*r - 25 = v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1 = -5*p + p, -2*g + 4*p = -14. Suppose -j + g*s + 6 = -1, -2*j + 17 = -5*s. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 35 = -c. Suppose -3*w - 18 = -4*n, 2*n + 19 = -2*w + c*n. What are the prime factors of w - -1 - (-2 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 89370?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51741*j**2*k**3 + j**2 + j*k**2 + 32*k**2 - 215*k wrt k.\nAnswer: 310446*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 221+956456939\nAnswer: 956457160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 2 - 2 + (-3*h**2 + 4*h**2 - 2*h**2)*(-2*h + 2 - 2) + h**3 + h**3 + 0*h**3 + 2*h**3 + 2 - 2 + (-16 + 36 - 18)*(151*h**3 + 8*h**3 + 155*h**3).\nAnswer: 635*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 57\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**9\/1008 + k**7\/280 - k**3\/3 + k**2. Let r(w) be the first derivative of j(w). Factor r(o).\nAnswer: -3*o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - a + 11 = -0*a, 0 = -w - a + 5. Suppose s - 3*q - w = -14, 4*s + q = -9. What is the common denominator of 137\/18 and s*17\/(-14) - 3?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1869690 divided by 11?\nAnswer: -1869690\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12180311 to the nearest integer?\nAnswer: 3490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0.6, -0.04, 0.058?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6 - (442\/52 + -9))*-8. Which is the second smallest value? (a) z (b) -0.3 (c) -13718\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*1)\/(sqrt(288)*1 - sqrt(8)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329529 is divided by 137016.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6784, -13375, -19966, -26557, -33148, -39739?\nAnswer: -46330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-494)\/10 + 10\/25. Let l = 65 + a. Suppose -4*p + 35 = 3. Calculate the remainder when l is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-six fifths of a minute?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000425 to seven decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/4 - 101351*m**4 + 41086479139*m**3\/4 + 82179546223*m**2 - 10271619785*m - 82179444872 = 0.\nAnswer: -8, -1, 1, 202706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6300, 6272, 6228, 6162, 6068, 5940?\n\"Answer: -i**3 - 2*i**2 - 15*i + 6318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*v**2 + 10*v**4 - 8*v**4 + 10*v**4 wrt v.\nAnswer: 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*n + 415*n**3 - 33*n + n**2 + 9 + 444*n**3 - 2*n**2.\nAnswer: 859*n**3 - n**2 - n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1*(1 + 2). Suppose 2*a = -2*i + 18, 3*a - t*i + 2*i = 35. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14095, -5, -3, 5, 2 in descending order.\nAnswer: 14095, 5, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2\/7 - 18827892*c\/7 - 18827896\/7 = 0.\nAnswer: -1, 4706974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:23 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 81 + 283. Let x be (-1 - k)\/(4 + -5). Suppose -y + x = -r, 7*r - 153 = -y + 2*r. List the prime factors of y.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 89\/47 and 28879 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1482425.01 seconds?\nAnswer: 17.157696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1278431.02 from -1.723.\nAnswer: -1278432.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1637.37 to the nearest ten.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 69675*w + 487578.\nAnswer: 3*(w + 7)*(w + 23218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128451058 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 115*w**2 - 46125*w + 46125*w. Let n(h) = -4*h**2. Determine n(x(l)).\nAnswer: -52900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/60 - i**4\/4 - 2*i**3\/3 - 161*i**2 - 292. Let m = -11 - -7. Let x be (-1)\/m + (-31)\/(-4). Calculate y(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*g - 5. Suppose 2*k - 7 = -d + 1, 0 = -4*k - g*d + 28. Put 1, k, 5 in descending order.\nAnswer: 5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.5 (c) 6 (d) -507 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -39176.125.\nAnswer: 1567.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -965*j**2 - 4 + 964*j**2 + 3*j + 2*j. Give d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1511*c - 8. Let p be j(-3). Suppose -4*w - p + 26937 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = -3620. Let w = 1263 + u. Let y = -1123\/2 - w. Find the common denominator of y and -133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 2*b**2 + b - 1. Suppose -1 + 4 = 3*w. Let a be h(w). Let d be 3\/(-6)*0 + a\/7. Sort d, 11, -0.5 in decreasing order.\nAnswer: 11, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11 smaller than 698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1363\/8 + 170. Let c = -11 - -10. Is p not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/4436733 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 10336 - 4119 - 2945 = 0. What is the highest common factor of r and 1320?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872666 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 22 + -22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -93*l**3 + 5951*l**2 + 53*l + 747. Give x(64).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 5*p + 5. Suppose 0*m + p*m = 5485. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51549921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 13. Calculate the smallest common multiple of h(-9) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45096492\/59 >= 764348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m. Let k be (-9)\/(-18) + (-23)\/(-2). Suppose -7*f = -10*f + 9. Solve -f*q + m*q = k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81597\/4 - 20399. Sort -16, 5, -2, -1\/3, j in descending order.\nAnswer: 5, j, -1\/3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*s - 27 = -659*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287326.\nAnswer: 2, 13, 43, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/141? (a) 0.1 (b) -3 (c) -1.3 (d) 99.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 14)\/((-27)\/18)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 1339*m + 64 = 1334*m, 0*u = -5*u + 2*u - m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2. Suppose 0 = 91*w - 80*w - 8591. Let z(s) = -781 + 14*s + 15*s + w. Calculate z(f(k)).\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 544*t**2 - 2 + 262*t**2 + 315*t**2 as n*t**2 + j + h*t and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7653020 divided by 12052.\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/((-1098)\/(-276) - 4). Let m = v - 20. Solve -m*p - 7 = -7*p - r, -2*r = -6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957 = -98*c - 173 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76557.273 - 145.273. Let a = z - 76426.9924. Let j = -15 - a. What is j rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8695 - 8657. Solve q*o = 59*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 15*q - 22 = 3*v + q - 95, 0 = 4*v - q + 73 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - -125. Suppose 3*a - f = -6*f - 101, 5*a - 5*f = -i. Find the common denominator of 81\/4 and 12\/a + (-26)\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 14 = -2*p, 5*p - 451 = -416. Which is greater: k or -1\/11785?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95.99999931 - 96. What is k rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.2 (b) -5 (c) -1 (d) 1 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-4 - -1))*-4. Let l(t) = 3*t**3 - 9*t**2 - 3. List the prime factors of l(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*z**4 - 228*z**3 - 285*z**2 - 24*z.\nAnswer: 3*z*(z - 8)*(z + 1)*(11*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orrdrro. Give prob of picking 1 o and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = -5*h. Let d(c) = c**3 + 5*c**2 + 4*c + 3. Let s be d(h). Suppose -2*u + b = -2*b - 6, 0 = -3*u + 4*b + s. Solve u*n + 0*n - 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92\/43 or -33910?\nAnswer: 92\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1900\/3, -0.3, -3\/2, 1, -0.5 in ascending order.\nAnswer: -1900\/3, -3\/2, -0.5, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 327.17 - 330. Let x = -0.17 + j. Is -2\/3 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 5704 - 809. Let c be (-4)\/(-2 - -1) + 1. Find the second derivative of -w*q**4 - 20*q**c + 445*q**4 - 3*q wrt q.\nAnswer: -400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230020243 (base 5) to base 12.\nAnswer: 410618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913943805 to the power of 1\/3, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 i when four letters picked without replacement from {i: 3, c: 2, b: 3, x: 11}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*l**4 + 14435*l**2 + 19*l + 110662 wrt l?\nAnswer: 924*l**2 + 28870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 224*u - 51472. Calculate b(-141).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -195.6 - -194.6. What is the closest to m in 3\/8, 6.6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 3*r + 0*r + (-1 + 4*r + 1)*(1 + 3 - 2).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2 - 41. Let b = -47 - -6. Let w = h - b. Solve -4*p - 8 = -w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34309 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = 0, 0 = 2*b + 4*r - 2*r - 10. What is the smallest common multiple of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((-4*sqrt(2299) + 3 - sqrt(2299)) + sqrt(2299)) - (-2*sqrt(2299)*1 + (sqrt(2299) + 1)*-6))*-6)**2*-6.\nAnswer: -7993944 + 285120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + d**3 - d**2 + (-5*d + 0*d + 3*d)*(-5 + 1 - 1)*(-7*d**2 - d**2 + 5678 - 5688) in the form n*d + a*d**2 + t*d**3 + h and give n.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37, -2.4, -2\/23, -5?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g**2 - 19087*g + 3*g**2 + 19087*g - 4*g**2. Let k(y) = 4429*y. What is k(t(f))?\nAnswer: -4429*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10100001011010 (base 2) to base 16\nAnswer: -285a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -220, -244, -288, -358, -460?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-18) + (-4)\/(-24). Let l = -3\/25 - -59\/75. Sort 1\/3, o, l.\nAnswer: o, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1563 + -0.1562995179. What is r rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-7) - (-3 - (-144)\/42). Suppose -h = -z*j - 2*j + 130, 3*j + 3*h = 186. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8988 = -96*a - 107*a - 118*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38*(-12)\/(-20) + (-1)\/(75\/(7 - -8))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7211 or -7213?\nAnswer: -7213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -539*a**2 - 121. Let f(v) be the first derivative of -3*v**3 - 2*v + 1153. Calculate -242*f(t) + 4*o(t).\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-2)\/6*-3. Let f = -5 - -9. Suppose 2*m = m + 1. Sort p, f, m in decreasing order.\nAnswer: f, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3209, 52, 5 in decreasing order.\nAnswer: 52, 5, -3209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -738*c - 7 - 2 + 742*c. Give d(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2004*n**2*o - 17*n**2 + 2*n + 209006*o with respect to n.\nAnswer: -4008*n*o - 34*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25792 and 687912013.\nAnswer: 687886221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -18. Suppose t = -b*l - 18, -l - 12 = -5*t + 3. Factor 5 - 3 - z**3 + t*z**2 + 3*z - 2*z**2.\nAnswer: -(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 281, 154, -45, -328, -707, -1194?\nAnswer: -1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l. Let k(t) = 15*t. Determine 5*c(g) + 2*k(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.967 - 22.914. Let s = v + -0.053. Let f = s - 28.9999998. What is f rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 125574, 125580, 125586, 125592, 125598?\n\"Answer: 6*c + 125568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 + r**4\/3 + 5*r**3\/6 + r. Let k be v(5). Suppose k = 2*b - b - 217. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20503, -20483, -20443, -20377, -20279, -20143?\n\"Answer: x**3 + 4*x**2 + x - 20509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.436 from 6.\nAnswer: 6.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 1, o: 1, x: 3, d: 2, a: 3}. What is prob of sequence ta?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000340807264 to six decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159174762?\nAnswer: 2, 3, 26529127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**3\/8 - 4113*v**2\/8 + 5638923*v\/8 - 1573. Factor r(h).\nAnswer: 3*(h - 1371)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -379 - -705. List the prime factors of t.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1436 = 8*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6236*z**3 + 435*z - 19 wrt z?\nAnswer: 37416*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(114)*5)\/(4*2*sqrt(6)).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -673 - -471. Let u = j - -310. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j + 10. Let v(d) = -4*d - 17. Let g(x) = 8*o(x) + 5*v(x). Let f be (3\/(-1) + 9)\/2. Let r(i) = i - 1. Give f*r(c) - g(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 + 17*x - 16*x - 3*x.\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 846\/8 - (-3)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 16 + 3*l**3 - 4*l**3 + (130 - 6*l**2 - 130)*(-5*l + 14*l + 4*l) in the form n*l + b + k*l**2 + i*l**3 and give i.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13970 and 47527210?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*b = 0, 4*v - 4*b + 0 = 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2761.\nAnswer: -1\/2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 30*p + 25. Let z be k(10). Let n = -315 + z. Solve -3*w = -2*l - n, -1 + 6 = -l + 3*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 324304?\nAnswer: 3242c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889974 to the power of 1\/2, to the nearest integer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egpgglp. What is prob of picking 1 e and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w - 13. Calculate the least common multiple of 7 and i(-8).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4540 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 6658194 in descending order.\nAnswer: 6658194, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 65?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47019 and 6657.\nAnswer: 14905023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/4*(-30)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2565, 2579, 2617, 2691, 2813, 2995, 3249, 3587?\nAnswer: 4021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35*(-3)\/(-60))\/((-220)\/(-55)).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**3 + 8*s**2 - 42*s + 44. Let u be y(2). What is the highest common divisor of u and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6)*(-2 + -62). Let f = -21 + y. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75234 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 1\/7 (c) -2\/9 (d) -103 (e) -40\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30844*z - 1610341 = 159892 + 775045 - 540418 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -13)\/3 - 128 - -1. Is 0 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 2*i + 4*i + (-i + 3*i + 0*i)*(-2 + 4 - 1) + 1069*i - 5583*i + 8 - 6081*i - 8 in the form m*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105133557.\nAnswer: 3, 35044519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 3. Give d(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-124)\/33)\/(-4) + 100\/(-150).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5 + (32\/480 - (-2 - -1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 10. Let t(z) = -3 + g - 6*z + 5*z - 3. Suppose -p = 2*l - 1 + 17, 0 = 5*p + 3*l + 45. Give t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*i - 3365 + 33795 = -27*i - 162*i for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - ((2 - (9 + -2)) + (5 - -9)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-9 + 0 - -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -441581328 divided by -54?\nAnswer: 8177432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*k - 258*k = -25. Let q(a) = 5*a**3 + 4*a. Let g(m) = 5*m**3 + 5*m. Determine k*q(r) + 4*g(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091035229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/12 - 1\/6. Let n be (-2 - (-42)\/9)\/(c\/6). Suppose 0 = n*x - 296 - 80. List the prime factors of x.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 2, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381.346 decades in years?\nAnswer: 23813.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:53 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 33 = 3*x, -2*q - 2*q = 3*x - 34. Suppose 0 = 2*c - x, -2 - 28 = -5*b - c. Suppose -s - 4 = -b. Solve -5*i + 6 = s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1845 - 1845. Let y(k) be the third derivative of -3\/8*k**4 + 0*k - 1\/10*k**5 + m*k**3 + 0 + 11*k**2. Find the second derivative of y(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 17 - 9. Solve -g*q = 2 + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1629, -1628, -1627, -1626?\nAnswer: -1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244*b**2*o**3 + 4*b*o**3 - 1508*o**3 - 2*o**2 + o with respect to b.\nAnswer: -488*b*o**3 + 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6203 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (18 - (18 + -12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0.00465629?\nAnswer: -0.00465629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2887 - -5181. Suppose c = 3*y + 2405. Suppose -3*b - 2*b - 190 = 0. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2*i + 5*i)*(-i - 7*i - i)*(0 + 4 - 2).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 0) + 2 - -12. Round i to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11424?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**3\/6 - 7*d**2\/2 + 2*d. Let x be g(-4). Let t be (-1)\/x + 1\/(-3). Solve t*f = -4*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43127943?\nAnswer: 3, 14375981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l - 30*l - 6*l)*(-4*l**2 + 3*l + l**2 + 6*l**2) as b*l**2 + y*l**3 + j*l + h and give b.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 672426927 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -61218*h**4\/7 - 122826*h**3\/7 - 61986*h**2\/7 - 366*h\/7 + 12\/7 = 0?\nAnswer: -1, -1\/57, 2\/179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -15*a + 13*a - u, u = -2*a + a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -613.05 and -299540831.\nAnswer: -299541444.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 3*v + 5*y, 3*v - 69 - 78 = -4*y. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s + 5*i, 6*s + 3*i + 18 = s. Let d(b) = -411110*b**2 + b - 34. Let a be d(s). Round a to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -48*p**5\/5 - 186*p**4 - 121*p**3 - 45*p**2\/2 + 60. Solve d(u) = 0.\nAnswer: -15, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 83082858 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 6)*(2*h + 16 - 18 + 13) as w*h + f and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 277 = -5*h + 2*r, -4*h + 2*r + 294 = 0. Is h a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 + 5 = -q, 0 = 4*s - 4*q. Solve 5 = -2*m - s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 38*x**2 - 115*x + 21. Determine w(41).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 18*(-8)\/(-18)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*z + 11060 = -136*z - 4*y, -9 = 3*y. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2418763 and 514554?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*a + 22, 4*k = -2*a - 3*a + 20. Suppose -4*m + k = m. What is the common denominator of (m\/(-4))\/((-40)\/284) and -77\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:04 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11) + -1 - -2*sqrt(110)\/sqrt(10)) + -2.\nAnswer: -3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l. Let m(g) = -3*g. Let q(h) = 7*m(h) - 2*z(h). Let v(u) be the third derivative of -7*u**4\/24 - 93*u**2. Determine q(v(w)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 + 6)*(0*a - a + 0*a + (-2 + 6 - 1)*(-3*a - 3*a + 4*a)) as n + w*a and give w.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(63) + sqrt(63))*6)\/((sqrt(729) - sqrt(729)*-2 - sqrt(9) - sqrt(9)) + sqrt(9)).\nAnswer: -3*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*j - 23 = 0, 6*j - 5*j + 17 = -5*g. Let z(f) = f**2 - 5*f + 4. Let k(l) = l**2 - 4*l + 3. Suppose -5*i = -2*i - 15. Give g*z(u) + i*k(u).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6941303 to the nearest integer?\nAnswer: 2635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000145437249 rounded to six dps?\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1370\/3 - 456. Are -188 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(8029\/(-1612)) + (-6)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/1*(20\/(-24) - -3). Suppose x*s + 21 = 34. Solve 25*f = 26*f - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**2 - 6*t + 4. Let l = 61 + 17. Let g = 73 - l. List the prime factors of j(g).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0, -4\/5, 1, -0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/60 + 7*u**5\/5 + 72*u**4 - 12960*u**3 + 1011*u**2. Factor p(n).\nAnswer: -2*(n - 36)**2*(n + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and -46\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 73?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -3616.8841\nAnswer: 10850.6523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**4*w)*w)\/w)**(1\/6))**(-40)\/((w\/(w*w**(-2\/9)))**42*(w*w**(-2\/3)*w)**(-30)) assuming w is positive.\nAnswer: w**(172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 25 = 311. Calculate the remainder when f + (-35)\/(0 - 5) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*o + 1108, o - 5*o - 852 = -3*m. Suppose 0 = -2*p - 2*p - m. List the prime factors of p\/(-3) - (-2)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10100000011?\nAnswer: 10100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*s - 4*q + 3, -4*s - 5*q + 1 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 637*f*p**5 - 2533*f*p**4 - 5980*f - 39*p**2 wrt p.\nAnswer: 38220*f*p**2 - 60792*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 + -3. Let o = -0.77 - -0.87. Let x = 14 + -15. Which is the closest to o? (a) -0.2 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9967380 rounded to the nearest ten thousand?\nAnswer: -9970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97\/5, -26, 1\/3.\nAnswer: -26, -97\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in 2, 3\/2, -16, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1104 times -0.38\nAnswer: -419.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2703010 and 1918?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2229, -2277, -2399, -2631, -3009, -3569?\nAnswer: -4347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 10*z - 20. Let k be o(12). Suppose k = 8*r - 10*r. Let w = 5 + -9. Sort r, w, 0 in descending order.\nAnswer: 0, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 16*j - 30. Give a(-4).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 376*l**2 + 4*l - 3. Let b(u) = -1896*u**2 - 19*u + 15. Give 4*b(p) + 19*y(p).\nAnswer: -440*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8, -19\/134, 2\/5, 46?\nAnswer: -19\/134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-13 - -5) + -3 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 952123?\nAnswer: -952125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*o - 1606*o - 92640 = -848*o + 1849*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501*r**2 + 501*r**2 - 9*r**3 + 11*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7*p = 8*p + 420, 0 = -3*j - p + 620. Suppose 4*b = 3*b - j. Is -209 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(0*l + 0*l - 2*l) - 18*l + 49*l - 2 - 29*l.\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16.5, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1359 - 23 + 128 = -6*k. Solve 60 = -219*h + k*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 0 - -2 - (-702 - -701)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.880065 months to millennia.\nAnswer: 0.00057333875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/30)\/14)\/((-4)\/(-10))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 10*z - 4*z + 11 - 9 + z + 27*z.\nAnswer: 10*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uub when three letters picked without replacement from {c: 4, f: 2, b: 1, u: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*414\/49588)\/(156\/(-182))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2\/5 - 114*w\/5 + 207 = 0.\nAnswer: 15, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 s, and 1 r when four letters picked without replacement from sssurus?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 1, -235, -18, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*f + 31 + 296 + 921 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22555 divided by -13?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 6. Let d = 5 - -19. What is the remainder when d is divided by k(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 563 = 3*l - 0*i, -l - 4*i + 216 = 0. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/112)\/(2\/(-4)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1586, 3007, 4440, 5891, 7366, 8871?\n\"Answer: c**3 + 1414*c + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 415 - -21?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 17*p**2 + 12*p - 9. Calculate t(-9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23111*s**3 - 11556*s**3 - 11556*s**3 + 2245)*(1 + 9 - 1 + 14) to the form u*s**2 + i + r*s**3 + c*s and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7.3. Suppose 2*f - 7*j + 8*j - 1 = 0, 3*j = -3*f. Let l be (-12)\/(-48) - f*(-2)\/(-4). Which is the smallest value? (a) m (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1753564103 to the nearest integer?\nAnswer: 41876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/11))\/z)\/(z\/(z**(1\/19)*z))*(z*z**(1\/14))\/z**(1\/12))**(-13\/3) assuming z is positive.\nAnswer: z**(-279019\/52668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*f + 2*b, 2*f - 4*b = -0*b - 12. Suppose f*u = -u + 6. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.7 + -1.7. Let y = 4 - -2. Let i = g - y. Sort -1\/3, i, -4 in increasing order.\nAnswer: -4, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017742539 to 5 decimal places.\nAnswer: 0.01774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -51. Let s = v + -1\/3. Sort 55, 1, s in decreasing order.\nAnswer: 55, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 15 = 4*t, 3*m - 6 = 2*t - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + 111112103103?\nAnswer: 111112102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1 + 1. Suppose -2*z + 602 = j, -4*j + 3*z + 0*z + 2353 = h. Let r = j + 223. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138, -266, -396, -528, -662?\n\"Answer: -h**2 - 125*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9379 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -45.06 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 612?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 0*c**4 - 2*c**4 - 5*c**4 + c**4 + 2*c**4 + (c**3 - 2*c**3 + 2*c**3)*(c - 5*c + 2*c) - 5*c**4 + 4*c**4 + 4*c**4.\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 1}. Give prob of picking 1 u and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/60 - g**4\/8 + 5*g**2 - 5*g. Let z(l) = 4*l**2 + 13*l. Suppose 0 = -3*p + 6*p - 18. What is p*z(n) + 26*f(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f - 3. Determine z(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.75 - 0.85. Let v = -9 + 17. Let m = v + s. Which is the biggest value? (a) 0.03 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867\/3 + -2 + 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, f: 4}. Give prob of picking 4 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - 0.37. Let k = -2125 - -2124.9. What is the nearest to k in t, -4, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/5 - -3)*0\/3. Suppose -6*m = -t*m - 0*m. Put -20, m, -6 in decreasing order.\nAnswer: m, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51586*k*u**3 + 2*k*u**2 + 1370*k*u - 2*u**3 - 2*u**2 - 2 wrt u?\nAnswer: -309516*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 12*u + 299 = 0. Is u\/11 - ((-4)\/(-22) + 0) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w. Let l(d) = -32950*d**2 - d + 7. Determine l(h(y)).\nAnswer: -296550*y**2 - 3*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17435, 33757, 50079, 66401, 82723?\n\"Answer: 16322*d + 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + a - 11 = 0, -3*a + 7*a = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1838*d**2*i**2 + 36*d**2 + 10*i - 2 wrt i.\nAnswer: 3676*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**2 - 82*j**3 + 56*j**2 - 12*j**2 - 17*j**2 - 14*j**2.\nAnswer: -82*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 115, 180, 249?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/7 and 39\/74?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 + 25*q**3 + 9*q**3.\nAnswer: 44*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21622.\nAnswer: 2, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 12. Let y(t) = 8*t**2 + 7. Let n(z) = -z**2 - 1. Let l(v) = -14*n(v) - 2*y(v). Calculate l(j(c)).\nAnswer: -8*c**4 - 96*c**2 - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 0*o + 3\/5*o**2 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 - ((-109)\/(-6) + -2)\/(-9 - -10) and -83\/4982.\nAnswer: 14946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10327 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 + 4. Let m be n(-7). Let t be ((-1)\/m)\/((-45)\/(-40)). Let z = -34\/3 - -12. Which is the second smallest value? (a) -3 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 12:08 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -186*j - 24. Let q = -474 - -473. What is the units digit of c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3 + 0)*6. Let q(n) = 1. Let y(o) = -o - 3. Suppose 49*s = 45*s + 4. Calculate i*q(j) + s*y(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 134 = 4*z, 2*z - 5*z - 96 = -3*o. Let a be (-69)\/z - 42\/(-70). Factor 0 - 2\/7*y**4 + 0*y + 12\/7*y**3 - a*y**2.\nAnswer: -2*y**2*(y - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*f - 207, 0 = -2*k - k + 15. Let y be (-112)\/f - (-4)\/(-2). Let d = y + 33\/58. What is the second biggest value in 0.1, -0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*n - 5*p - 19 = 384*n, 5*n + 5*p = -15. Solve -3*q - n*a - 13 = 0, -4*q - 10 = -a + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 359\/4, -0.1, 4, -1 in descending order.\nAnswer: 359\/4, 4, -0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/252 and 89\/1583064?\nAnswer: 1583064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 908322 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 3*u + 4. Let k be d(-5). Let h = 1 - k. What is the remainder when h is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8325a2 (base 12) to base 8.\nAnswer: -7661712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxrprxxrlxrdrxxrrld. Give prob of sequence lrrl.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 12 - 13 = 0, 0*w - 52 = 2*p - 2*w - 8 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*w, -4*x + 3*w = w - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12773572 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.18655 + 0.18655. Which is the closest to 0.09? (a) 1\/2 (b) 2 (c) k (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -6. Is 22139\/w + 8\/28 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75600.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -387 - -392. Let n = -1.2 + 1. Which is the closest to -0.1? (a) d (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -2467?\nAnswer: -2467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 571 and 369437?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29317, 29316, 29315?\nAnswer: 29314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663058?\nAnswer: 2, 11, 30139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**13*l\/(l*l*l\/l**(-2\/5))*l*l\/l**(-4\/7)*l**11\/l assuming l is positive.\nAnswer: l**(811\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {r: 10, k: 6, l: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 738\/7 + 2\/7*u**2 - 36*u.\nAnswer: 2*(u - 123)*(u - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5\/5 - 1144*d**4 + 4*d**3\/5 + 1144*d**2 = 0. Calculate d.\nAnswer: -1430, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:08 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/15 - d**4\/3 - 2*d**3\/3 - 130*d**2. Factor c(y).\nAnswer: -4*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-610075*z + 610075*z - 194 + 23*z**2 + z**3)*(0 + 0 + z**2).\nAnswer: z**5 + 23*z**4 - 194*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 7. Let g be n(3). Suppose g*u + 0*u = -3*a + 3, 3 = -3*a. Suppose -u*t + s = -67 - 418, -3*t + 475 = 4*s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -105 and 485.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 4.7 (b) -24 (c) 0.02 (d) -2 (e) 2\/5 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -106 + 769. Let o = l - -53. What are the prime factors of (-696)\/(-3) - 2\/o?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-8) + 455\/28. Let f = 19 - x. Factor 3*z**f + 7*z**3 - 6*z**2 - 10*z**3.\nAnswer: -3*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znn when three letters picked without replacement from {n: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114111 - 12143014?\nAnswer: -12312130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12902*l + 437672 - 1250498 = 0 for l.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 5. Let r be (-77)\/21*1 + 2\/(-6). Let x(d) = 1 - 2*d - 3 - 2. Calculate r*w(a) + 5*x(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*j - 11 = 91, 5*p + 580 = -4*j. Find the common denominator of 4\/38 - p\/6156 and 53\/99.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200.9782 - -201. Round w to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17245635.\nAnswer: 3, 5, 11, 19, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*v - 4, 6 = -d + 3*v - 6*v. Sort 1, d, 2, -2\/11.\nAnswer: -2\/11, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a**2 - 32\/9*a + 4\/3*a**3 + 2\/9*a**4 + 8\/3.\nAnswer: 2*(a - 1)**2*(a + 2)*(a + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j + 5*v + 10, -5*j = 2*v + 7. Let k be (0 - (-3)\/(-1))*3\/j. Calculate the least common multiple of -3*(-13)\/78*(k + -1) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 38 - 5 = 0. Let o = -55 - -60. Suppose -q - l = -m - 4, o*q - 5*l = 35. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 27*z + 3. What is r(13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 300, -5, -1.39, 0.04, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*z - 8214 + 8214 as x*z + f and give x.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Suppose -z + 179 = -h - i*z, -z = 0. Let o = h - -19. What is o rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 28 = 2*l, -5*j - 4*l + 34 = -0*l. Let s = -5 + j. Suppose -s = -c + 3. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*z + 7545 + 1015 = 0 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.4 + 9.5. Let i = m + 14.9. Let f = i + -21. Put 3, 4, f in descending order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.129999349 + -10.13. What is w rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -301.305 + 301. Let k = h - -0.405. Which is the closest to -1? (a) -0.1 (b) k (c) -1\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1072 + -150?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021334047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-100))\/(-2)*-5. Let t = -214.1 + 214. Which is the smallest value? (a) 13 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37439051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2258)\/12 - (-2)\/(-6). Let t = h + 1465\/8. What is the common denominator of t and -123\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**2. Let z(n) = 23*n. What is z(o(k))?\nAnswer: 184*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - d + 3*a - 19, -4*d - 24 = a. Is 2\/14 - 12606\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**6\/120 + w**5\/12 + w**4\/8 + 7*w**3\/6 - w**2. Let s be (5 + -29)*3\/18. Is a(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 5 - 4*x**2 - 3*x**3 + 4*x**3 + 8 - 11*x. Let a be y(7). Let h be (-264)\/a - (-6)\/15. Calculate the greatest common divisor of h and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 23*d + 1. Let k be i(-1). Let a = 22 + k. Let u(h) be the first derivative of h**4\/4 + h**2\/2 - 5*h - 44. Determine u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/340)\/(3\/165)*((-6)\/3)\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/12)\/(1\/4). Let w be 44\/10 + 4\/(-10). Solve 2*x**w + 0*x**4 + 2*x**3 - 4*x**u = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4112?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13*z**3 - 6*z**2 + 2*z + 4. Let l(x) = -25*x**3 - 11*x**2 + 4*x + 7. Determine -11*j(y) + 6*l(y).\nAnswer: -7*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 26187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 13 - 91 = g, -31 = -6*g - 8*y + 7*y + 29 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + r = -3*y + 1, -3*y - 4*r + 2 = 0. Solve s = -0*s + y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/30)\/(15\/(-25)*1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13080 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -78. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/21 + -10\/7. Let b = -211211 - -211325. What is the biggest value in 1\/8, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 511*g + 509. Calculate t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21953 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/505, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**4\/24 - w**3\/6 - 3*w**2 + 1. Determine o(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6891, -6902, -6913, -6924?\n\"Answer: -11*j - 6880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101000001 (base 2) to base 12\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12945 + -8827. List the prime factors of l.\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x - 20. What is the smallest value in x, 2\/9, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41501, 41518, 41557, 41630, 41749, 41926?\n\"Answer: 2*r**3 - r**2 + 6*r + 41494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = v - 5*x, 5 + 5 = -5*x. Suppose 5*g - v = 2*g. Solve -g = 4*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 + 0*x - 2*x**2 + 2*x = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -605, -1279, -2201?\nAnswer: -3371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 16, t: 4}. Give prob of sequence mtt.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = -58*h - 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:07 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + 7. Let x(m) = 8*m + 22. Let o(c) = 11*h(c) - 4*x(c). Let q be o(12). What is the tens digit of (7 - q)*68\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-8) - (-339)\/6. What is x rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:51 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -43. Let v = -40 + q. Let f be 570\/110 + v\/11. Solve -4*p - 9 = 11, -f*p - 21 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**6\/360 - z**5\/60 - z**4\/8 - z**3\/6 - 2*z. Let b(o) be the second derivative of x(o). Is b(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -8. Let p = g - 5. Let s be 10 - 0*(-3)\/p. Solve -7*l + s = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + o**5 - o**4 + (3*o**2 - 6*o**2 + o**2)*(-o**3 + 0*o**3 - o**3) + (-o**2 - o**5 + o**2)*(-3 + 4 - 4).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-44)\/(2 - 4). Suppose -k = h + 7 - 2, -h = -4*k - p. Which is smaller: 6\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -35*j + 6. Let q be v(4). Let s = q + 80. What is s rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {z: 1, y: 2, h: 2, s: 1, q: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (88 - 61 - 27)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 444 = -w, 4*w + 217 - 2005 = 4*c. Round w to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 4 + 11157\/(-16). Let q = v - -701. What is the common denominator of q and -41\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24223, -24222, -24223, -24226, -24231?\n\"Answer: -d**2 + 4*d - 24226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + i**2 + 1530*i - 1534*i.\nAnswer: 5*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -6*w + 41 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 26934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 246a7 + 40?\nAnswer: 24737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -4, -39, 0.4, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, 6 in descending order.\nAnswer: 13, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6)*3)\/5. Let l be 1\/(-2*(-1)\/(-4)). Let c = 207 + -205. What is the biggest value in c, g, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35192 + 1513230\/43. Which is the smallest value? (a) 3 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 6*s + 0*s**2 + 1\/6*s**4 - 1\/6*s**3 + 4. Calculate r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -302, 2\/21, 59\/22, -10 in descending order.\nAnswer: 59\/22, 2\/21, -10, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 27 + 5)*(-5*b**2 + 2*b**2 + b**2)*(b**2 + b**2 + 0*b**2).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -2\/3 (c) -24 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a factor of 1400899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-11)\/6)\/((-5874)\/(-44055)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*r**2 - 20*g*r + 212*r**2 + 4*r wrt r.\nAnswer: -4*g + 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2 - 506*s = 0?\nAnswer: -253, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/(-9) - -5 - 16\/(-6). Let m(h) = -19*h**2 - 3*h**v + 26*h**2. Let u(g) = 5*g**2. Give u(m(j)).\nAnswer: 80*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j = -123*j + 412 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11375640597 rounded to five dps?\nAnswer: -0.11376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 2\/21 (c) 1\/7 (d) 686 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5 - 10*g**4 + 16*g**3 - 8*g**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, 1\/33, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/14)\/(y*((y\/(y*y*y\/y**(-1\/14)))\/y)\/y)*(y*y**4)**(-43) assuming y is positive.\nAnswer: y**(-1483\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*(-1)\/3)\/(3\/195). Is -60 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337307, -674618, -1011931, -1349246, -1686563, -2023882, -2361203?\nAnswer: -2698526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let n(t) = t**2 - 6*t - 7. Let j be n(7). Suppose 0 = g - 2, j*x = 5*x + 5*g - 30. Suppose -x*u = -u + 9. Determine i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*h + 93 + 5431 - 299 + 39 = 0 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times 0.096091?\nAnswer: 0.02210093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*o - 1342, 24*x = 3*o + 28*x - 1007. What is the greatest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(4\/3)*t)\/t)\/t**20*t\/t**(-8)*t\/(t\/(t\/(t\/(t\/(t*t\/t**(-9)))))) assuming t is positive.\nAnswer: t**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127298 - 20*k**2 - 63627 - 63671.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -12\/7, 11\/173, -0.017 in ascending order.\nAnswer: -12\/7, -0.017, 11\/173, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 209 = 23*u + 475 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1202340 + 2154?\nAnswer: 1204524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 55.417.\nAnswer: 33.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92 + 163 + c + 30 + 23 to the form l + a*c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:01 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + ((sqrt(95) + 4*(sqrt(95) + (sqrt(95)*-4 - sqrt(95))) - sqrt(95)) + sqrt(95) - sqrt(95)) + sqrt(95))\/sqrt(5) - (4*-2*sqrt(931))**2) + -1.\nAnswer: -59585 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*v**4 - 8*v**4 + 4*v**4 + (-v + v - 4*v)*(6 - 6 - 6*v**3).\nAnswer: 43*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.48 and -0.0478.\nAnswer: -0.5278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*g - 30 = 0, -4*q = -g - 2*g - 15. Let t(r) = 21*r**2 + 2*r + 78. Let p be t(0). Calculate the greatest common factor of q and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 22 + -8 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000098876 rounded to seven decimal places?\nAnswer: 0.0000989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1356*u**2 + 386*u**2 + 196*u**2 + 390*u**2 + 385*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 78, 74, 32, -60, -214?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -261 + 280. Let y = 22 - n. Let k be (1\/(-7))\/(3\/9). Which is the biggest value? (a) -0.5 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from wwwumdwy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + 7*d**3 - d**3)*(0 + d + 3 + 0) - 55*d**4 + 79*d - 79*d.\nAnswer: -49*d**4 + 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72855 divided by -1.\nAnswer: -72855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10 - 4085*x**2 - 6*x - 4*x**3 + 4085*x**2. Let f(j) = j**3 + 2*j - 3. Give 10*f(u) + 3*y(u).\nAnswer: -2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 176056807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8912868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36533 and 3876?\nAnswer: 8329524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 2*r + r + (-2 + 2 - 2*r)*(-2 + 3 + 0) - 2 + r + 2 - 967*r - 251*r + 10*r - 3*r - r + 6*r.\nAnswer: -1209*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15*r - 9. Let w be k(-4). Let n be (-6)\/21 + w\/(-21). Suppose 7 - 31 = -8*z. Solve z*i + 2*q + 1 = -n*q, i - 9 = 3*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:55 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 1. Suppose -2*f - 3*l + 4 = -5*l, 0 = 4*l + 20. Let x be h(f). Suppose x + 16 = 3*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 1}. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*3125119.\nAnswer: -168756426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - b + 10*b to u*b + y and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, 2\/7, 3, 23, -3\/425, -2\/11?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8462725 a multiple of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3501 (base 11) to base 5.\nAnswer: 121344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 24 = 4*d, -d - 8 = d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(833) + 1 + -1 - ((-6*(1*sqrt(1700) - sqrt(1700))**2 - (-1 + (2*sqrt(1700))**2)) + -3).\nAnswer: 7*sqrt(17) + 6807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282682 + 152432 = -6774*t + 45989 + 277619 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*o + 6*o - 4, o = -2*j + 19. Suppose -j*g = -6*g - 6. What is the second smallest value in 2\/11, g, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10311883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69\/4 - -197\/12. What is the common denominator of -43\/11 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11647 or -2324?\nAnswer: -11647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20 - 65)*(3\/(-9))\/1. Solve -4*v + 7*v = y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7984 * 13.669\nAnswer: 109133.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-1 + 26 + 7)*(-3*y + y + 3*y).\nAnswer: 96*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -255 + 255.4. Sort 0.03, j, -7.\nAnswer: -7, 0.03, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5323 + 4?\nAnswer: 5327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1 - -3) + -2. Let g(x) = 0 + d - x + 5*x. Let v(j) = 2*j**2. Determine v(g(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 659025217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31\/20 - 3\/10. Let u = 277\/10 + -101\/5. Find the common denominator of u and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4068*z**2 + 12*z - 6099. Let k(r) = 12203*r**2 + 33*r - 18304. Let d(t) = 4*k(t) - 11*y(t). Differentiate d(u) with respect to u.\nAnswer: 8128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 401 - 1106 = 0. Suppose 0 = -5*q + b - 131. Solve -6*p = -q*p, -3*a - 12 = 5*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-81228)\/1848)\/((-1)\/22) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894000 rounded to the nearest 10000?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 2048.\nAnswer: 6144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*p**3 + 21*p**3 + 62*p**2 + 383*p**3.\nAnswer: 268*p**3 + 62*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4263*c*o**3*r**3 - 2*c*o**3*r**2 + 3*c*o**2*r**2 - c*o*r - 10885*o**3 - o**2*r**3 + o**2*r**2 + 2*r**3 wrt r?\nAnswer: -25578*c*o**3 - 6*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 387923.06 and 351.\nAnswer: 388274.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 84.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64022401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = 3. Suppose 2*g - 3 = t. Let f(l) = l**3 + 10*l**2 + 7*l - 18. Let n be f(-9). Solve 2*h = -4*a - n*h - 14, g*a + 5 = -3*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.5 + -14. Let s = -1.42 + m. Let p = s + -0.07996. Round p to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 70. What is the remainder when (1\/(-1))\/((-1)\/94) is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + 4*j**2 - 5*j**2 + (-j + j + 2*j)*(j + 11*j + 0*j).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110545853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2142815400 to the nearest one million.\nAnswer: 2143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, j: 1, f: 2, i: 4}. What is prob of sequence jf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-15296)\/912 - 5\/(-3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 3:50 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/37, 520?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/414 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -0.16\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -356012.341 to the nearest 10.\nAnswer: -356010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -168, -314, -460, -606?\n\"Answer: -146*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10)*v**(-2\/3)*v**(-2)*v**(-7)\/v*v)**(-2) assuming v is positive.\nAnswer: v**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 10*k**2 - 8*k + 24. What is the units digit of a(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 4) + -11 + 0 - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*u**3 + 156*u**3 + 2*u - 2 + 0 as y*u**3 + o*u + b*u**2 + j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 5:19 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 3*w**2 - 5*w**2. Let n(y) = 21*y + 18. Let i(t) = -5*t - 4. Let b(h) = -9*i(h) - 2*n(h). What is g(b(z))?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11 + 2*s + 17*s - 9*s + 3*s**2 + 5*s. Calculate the remainder when 75 is divided by l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29040 divided by -1697.\nAnswer: -29040\/1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 200*x + 233 wrt x?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 17. Let u(v) = 9033*v**2. What is u(b(c))?\nAnswer: 9033*c**2 + 307122*c + 2610537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 3, d: 1, r: 2, x: 3, y: 2}. What is prob of picking 3 a?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 5*u - 31, -2*u = -2*v - 16 + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u + 4*g = -12, 0 = 4*u - g - 29. Let o = -3 - -4. Is o < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317861.1t in nanograms?\nAnswer: 317861100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**6\/1440 + r**5\/480 - r**4\/48 + 5*r**3\/6 + 3*r**2. Let y(c) be the first derivative of w(c). Solve y(v) = 0 for v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 5684 = 2*b - 5612 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**3 + 510*k**2 - 545*k - 3090 = 0. What is k?\nAnswer: -103, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*g + 462*g = 9004 + 4128 for g.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 523.\nAnswer: 261.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 16*f. Let t(z) = -4940*z**2. Calculate h(t(w)).\nAnswer: -79040*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8226648738 rounded to the nearest one hundred thousand?\nAnswer: 8226600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002792941988 to seven dps.\nAnswer: 0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 11*y + 3. Suppose 5*q - 8 = -3*l, 2*q - 8 = -l - 7. What is f(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 107. Let h = 428 - 422. Let w(o) = 8*o**2 - h*o**2 - 2*o + 2*o. Calculate w(r(s)).\nAnswer: 2*s**2 + 428*s + 22898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11064 divided by -2?\nAnswer: -5532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 - 135.33. Round k to two decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**3 - 13*q**3 + 5*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46686 + -46796.857. What is r rounded to 1 dp?\nAnswer: -110.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1252768 (base 9) to base 10.\nAnswer: -684431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) -132\/337\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a - 35. Let b be h(-8). What is the remainder when 2 - (-7)\/(b\/9) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3816237 to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2135, 17016, 57407, 136064, 265743, 459200?\n\"Answer: 2126*d**3 - d**2 + 2*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38392103 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (1 - 3) + 11. Suppose 0 = -5*d - 0*d + c. Solve 5*m - 4*l = -41, -3*l + 20 = d*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3093653?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l. Let c(y) = 98895*y**2. Calculate c(w(a)).\nAnswer: 8010495*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2662?\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + -59 + (4 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3628, 14753, 33266, 59143, 92360, 132893, 180718?\nAnswer: 235811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p - 19*p = -54*p + 846 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (492\/(-7052))\/((-108)\/57276).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 147*q - 437. Let c(a) = -2 + 0 - 1 - 3*a. Let k(v) = 3*v + 4. Give q*k(p) + 4*c(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3664871 - -22?\nAnswer: 3664893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1035015 + -1?\nAnswer: 1035014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from pcspxxcxxspkpspp.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.022 and -0.09?\nAnswer: 2.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 13*m - 192562*m**2 + 9*m.\nAnswer: -192562*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 12) in base 9?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/4 + 57*h\/2 - 450.\nAnswer: 3*(h - 12)*(h + 50)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 65*p - 246 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.51 + -4.49. Which is the second smallest value? (a) s (b) 35 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79 or 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33474 divided by 7?\nAnswer: 4782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(1\/4))**(3\/19)\/(s**(1\/4)*s*s**(-3)))\/((s\/(s*s**(-1\/7))*s)\/(s\/s**(2\/15)))**(-6\/35) assuming s is positive.\nAnswer: s**(96529\/46550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 + 7 = -5*t, -l - t - 5 = 0. Put l, 4, 2\/9, -4\/5 in ascending order.\nAnswer: l, -4\/5, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Suppose 0*o + 28 = 4*o - 4*g, o = 5*g + 15. Suppose 8 = -4*h, -2*h + o = f*k + 3. Solve 0*p - k*v - 12 = 3*p, v = -4*p - 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(4 - 4 - c) + 6*c - 3*c - c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13828 and 601.\nAnswer: 83.10628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2. Let f(w) = -3*w + 4*w**2 - 2 + 1 + 0 - 2. Let a(h) = 3*h**2 - 2*h - 2. Let j(q) = -3*a(q) + 2*f(q). Determine j(s(y)).\nAnswer: -25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1526, -2140, -2758, -3380, -4006, -4636?\n\"Answer: -2*m**2 - 608*m - 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:17 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + 1. Let r be t(-1). Let d = r - -6. What is the second derivative of 2*k**3 + 3*k + 2*k**d - 2*k**3 wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64075\/6048 - 343\/32. Find the common denominator of (-284)\/60*3*20\/(-56) and s.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/48 - (-17 + 11915\/610).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -103, -5430, -4, 8.\nAnswer: -5430, -103, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 3. Let c be b(6). Is -3*((-3 - 0) + c) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022111121 - -22112?\nAnswer: 1022211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 2 - -2) + -1. Suppose -d*n + 12 = 2*n. Suppose 0*q + n*q - 36 = 0. Calculate the least common multiple of q and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2771112 is divided by 2068?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 532560 to the nearest 1000.\nAnswer: 533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -193, -216, -189, -112?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00346 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2, 5, 0, 133?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 4.95. Let s = 0.29 - -0.06. Let o = s - -0.05. What is the closest to -1 in -4, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4496 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 17. Sort 0.2, q, -2 in ascending order.\nAnswer: -2, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Let n = 10 + -6. Let b = 1 + n. Let p(d) = -2*d**3 + 2*d**2 + 4*d + 1. Let s(x) = 3*x**3 - 3*x**2 - 5*x - 1. Calculate b*p(g) + k*s(g).\nAnswer: 2*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - 3\/(-2)*2. Let i be (-1)\/y - (3 + -5). Suppose -5*s + 78 = -i*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27147 - -8192. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 1 d when three letters picked without replacement from drswddusrduudjuwd?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46750110.\nAnswer: 2, 3, 5, 11, 141667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 11 - 19. Let h(x) = 5*x. Let w(t) be the first derivative of -2*t**2 + 1. Calculate p*h(s) + 7*w(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -18*r**4 - 65*r**2 + 3 - 3 + 83*r**2. Let i(l) = -l**4 + l**2. Let q(j) = -g(j) + 15*i(j). What is the third derivative of q(x) wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13355.9665 - -0.0335. Let b = c + -13355.91359. Let m = b + -0.0828. What is m rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -21, -3, 589\/6?\nAnswer: 589\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1312, 2627, 3964, 5335, 6752, 8227, 9772, 11399?\nAnswer: 13120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8481 and 57?\nAnswer: 161139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101211100 (base 3) in base 5?\nAnswer: -223033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = 2*r - 5*t, 21 = 3*r + 5*t. Calculate the greatest common divisor of r and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 - 95 = 42*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 6*j + 1. Let r be b(4). Let s = r + 8. Is s less than 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1152\/(-320)*2110\/(-3). Let i = t + -1351. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(77)\/(sqrt(11) - 5*(sqrt(11) + sqrt(33)\/sqrt(3))).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-15) - (-5)\/(-35)*7\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -198, -192, -182, -168?\n\"Answer: 2*j**2 - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9106657.\nAnswer: 7, 283, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 480*p**3 - 3545*p**2 + 6180*p.\nAnswer: 5*p*(p - 4)*(p - 3)*(p + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {q: 3, c: 1, h: 2, v: 3, y: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a + 3*b - 6*b, 0 = -a - b + 2. Solve 3*x = -a*o + 14, -o - 19 = 3*x - 8*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 0*v - v)*(2*v**4 + 2*v**4 - 3*v**4) - 2*v**4 + 2*v**4 - 2*v**5 - v**5 - 2*v**3 + 2*v**3.\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + -1.46. Let s = d - -1.24. Let q = s + 0.06. Which is the biggest value? (a) q (b) 5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/(-6) + -6)\/2. Let j = 0 - -2. Put -3, j, f in decreasing order.\nAnswer: j, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 851*(-76)\/15732*-9\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 196289138 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*c + 16 = -6*c, -3*g + 20 = -2*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 21 = -4*g, n - 3*n = 2*g. What is the tens digit of 8685\/45 + 1*(g - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/((-187)\/(-11)))\/((-10)\/(-120))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -1983?\nAnswer: -1982.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/88*14*(-44)\/(-56).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p*p*p)**(-46))**(-4\/9) assuming p is positive.\nAnswer: p**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w. Is f(2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373 divided by 1063\nAnswer: -373\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -347 and 0.2.\nAnswer: -346.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 325*m**3 + 2*m**2 - 324*m**3. Let j(n) = 10*n**3 - 11*n**2. Give 22*b(r) - 2*j(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/34)\/(((-105)\/210)\/((-1)\/27))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v*z**4 - 80*v*z**3 + v*z**2 - v - 130*z wrt z.\nAnswer: -48*v*z - 480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) -2 (c) -0.5 (d) 3\/761 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-35))\/(37\/((-12210)\/(-33)))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/54*(2142\/(-56))\/(-17).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4297.\nAnswer: 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, -1\/6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.635 centimeters to micrometers.\nAnswer: 2776350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*r + 0*r = -2783, -697 = -s - r. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010 - -3?\nAnswer: -4007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (11 - (11 - -13)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = g + 5, -2*g = -8 - 0. Which is the third biggest value? (a) r (b) 0.5 (c) -0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 80 = 2*y, -4*y - 130 = -4*k + 6. Let r = -25 - y. Let a = r - 9. Solve -a*p - 10 = -f, 2*p + 3*f - 10 = -f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 8*o**2 + 9*o + 9. Calculate y(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 2*q**2 - q + 5. Give c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 - 2*f + 249*f**2 + 23 - 147 to the form h + v*f + i*f**2 and give i.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:28 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 8:09 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*o + 1315 = 3*x, -5*x = -o - 1315. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 3 = -33 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43750293 greater than or equal to 43750294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/32 - 11\/32. Let a be (0 - (-4)\/(-6))*-3. Suppose a*x - 3 = 3*x. Is c at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/3))**(-1\/9)*f**(-31)\/f**(3\/10) assuming f is positive.\nAnswer: f**(-8381\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.26 - 32. Round t to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12 + 5)*(1 + -3). Let w = q - -3525. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - g + y = -1, -15 = 5*g + y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*18\/(-27).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0, 568, 0.4, 0.7 in ascending order.\nAnswer: -2, 0, 0.4, 0.7, 4, 568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) - 51\/(-15). Let h = 53\/2 + -26. Suppose 5\/4*t**2 - 3\/4*t**b + 0 - h*t = 0. Calculate t.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {a: 1, v: 5, e: 3, n: 4, r: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2. Let w(p) = 26*p**2 - 1. Let z(y) = j(y) + w(y). Let s(c) = -c**2 - 5*c - 1. Let k be s(-5). What is the units digit of z(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-4) + -5 + 7. Let g = -0.08 - 0.22. Put 0, d, g in ascending order.\nAnswer: g, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*q + 3*q - 27, -3*q - 9 = u. Let b be (-3)\/u - (-10)\/6. Suppose -61 = -b*i + 21. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.2 + 31. Let t = 86536379 - 86536376.20000055. Let x = c - t. What is x rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 1755619980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4869 is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46079546*u**4 - 50228*u + 131 wrt u?\nAnswer: -552954552*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52485798*z**2 + 4422166 with respect to z.\nAnswer: -104971596*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129 - -236. List the prime factors of j.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16909)\/185 + 91)\/((-6)\/(-705)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(10\/(-12)). Let w = 1.3 - 0.3. Let a = 0 - w. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 648.2 to the nearest 10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 105289.6\nAnswer: -10528.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.031469 and -12222.\nAnswer: -12222.031469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13285626 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 14 = -9*s + 3*k, 4*s - 22 = -3*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + s**2 + s. Let w be v(-1). Let y be 2 + w*2\/1. Which is the smallest value? (a) y (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (752\/(-76) + (143 - 133))*(0 - -1). Find c such that i*c**2 - 52\/19*c + 0 = 0.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*r = 2*r, 4*r + 41 = 5*g. Suppose -2*m = 2*b - 18, -g*b + 2*m + m + 21 = 0. List the prime factors of 3*b - (-4)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, b: 2, g: 7}. Give prob of picking 3 g.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10 = 5, i = -5*d + 30. Solve d*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15522 and 3634696.\nAnswer: 2169913512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 16*a**2 + 21*a - 269. Determine z(14).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -83. Calculate the remainder when v is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*u - 3178 = -512*u + 267 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 3*y**2 + 30*y**4 + 2*y - 28*y**4 + 2*y**3 + 1 in the form j*y**4 + t*y**3 + f*y**2 + c*y + v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3266 + 117673\/36. Calculate the common denominator of n and 41\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1398.823 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319367, 638380, 957389, 1276394?\nAnswer: 1595395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 * 8\nAnswer: -5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, x: 2, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + -2 + 1 + 5 + sqrt(160)\/(sqrt(20)\/sqrt(4)))*-2)**2.\nAnswer: -684 - 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, 9577, 0.04, -0.3, -3\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnhhhnhbhnbhnn. Give prob of sequence hb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, k: 9}. Give prob of picking 3 t.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-81)*(-6)\/22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203016 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**3 + 7*s**3 - 85*s**3)*(0 + 2 + 1) to the form k*s**2 + r + z*s**3 + o*s and give z.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 208 (base 11) to base 9\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20142\/23 or 876?\nAnswer: 20142\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 5*u + 13. Let y(a) = 13*a + 76. Let h be y(-5). List the prime factors of i(h).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (65177\/21)\/(1\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360768.\nAnswer: 2, 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(130) + 3*((sqrt(130) - (sqrt(130) + sqrt(130)*-2)) + sqrt(130)) + sqrt(130) - (-5*(sqrt(130) + sqrt(130)*2) + sqrt(130)))\/(2*sqrt(90)*-1).\nAnswer: -25*sqrt(13)\/6 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 3*w. Let b(g) = 6*g**2 + 10*g. Let y(u) = -3*b(u) + 10*q(u). Let o(z) = -z. What is o(y(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 881914?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3326*l**3 - 9*l**2 - 26*l - 51. Let v(r) = -r**3 - r**2 - r - 16. Let b(m) = -a(m) + 9*v(m). What is the second derivative of b(i) wrt i?\nAnswer: -20010*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 21\/(-3 - 0). Suppose 5*x = -5*u + 115, -2*u - 3*x = -n*u + 39. Suppose 0 = -4*c + 7*c - 90. Calculate the remainder when c is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16c0 + -a?\nAnswer: -16ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*i - 329 + 56 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -336.072.\nAnswer: 336.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 105546 - 3769 - 33530. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11359*b = 11437*b + 1170 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**2 - 47430*w - 1140048 = 0.\nAnswer: -24, 15834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -18 + 17 - (5 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**6\/40 + 3*u**5\/2 - 119*u**4\/8 - 75*u**3 - 942*u**2. Suppose g(q) = 0. What is q?\nAnswer: -1, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgbnn. Give prob of sequence nn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-30)*(-10)\/(-3). Suppose -2*x = 3*x - 25. Let u(q) = 5*q. Let g(o) = -11*o + 1. Let p(h) = x*u(h) + 2*g(h). Give p(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((((q\/((q**(-5)*q)\/q*q))\/q*q)\/q*q)\/q)))\/q**(2\/9))**(2\/21) assuming q is positive.\nAnswer: q**(68\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z - 67*z = 126*z + 446. Put -4, 14, z, -13 in ascending order.\nAnswer: -13, -4, z, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 2*9\/(-6). Let q be z + 22*42\/(-4). Let i = q + 532. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 25. Factor c**5 + 2*c**4 - 5*c + 4*c - 2*c**2 + 0*c**d.\nAnswer: c*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 + 9*d + 0*d**2 + 3*d**2 + 3 in the form g*d**2 + o + s*d and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5057092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805 is divided by 1006.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 + 178874*l**2 + 1431088*l + 2862240 = 0.\nAnswer: -4, 89445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 312*d**3*g**2 - 8*d**3*g - 2934*d**3 + d**2 + 22*g**2 - 1 wrt g.\nAnswer: 624*d**3*g - 8*d**3 + 44*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 7:40 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69940 and 762346.\nAnswer: 7623460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -59. Suppose -s*f + 12 = -4*f. What is the second derivative of -y**f - 7*y**4 - 16*y**4 + y - 8*y wrt y?\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 6*o**2 + 71*o + 14. What is r(-12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 46*-2.362\nAnswer: -108.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1785361428 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + ((-2)\/1 - -5). Suppose 0 = b + u, b + 0 = -2*u - i. Calculate the remainder when 8 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1231 and 475166.\nAnswer: 475166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 4*n - 9. Let z(i) = i + 7. Let m be z(-5). What is b(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 4081?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*q - 0*l - 27, 3*q - l + 19 = 0. Let b = q - -11. Solve 2\/9*o**2 + 2\/9*o**5 + 0 - 2\/9*o**b + 0*o - 2\/9*o**3 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**3 + 4*b**2 - 5*b - 40. Does 19 divide c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 2*l + 4. Let w be ((-3)\/(-4))\/((-6)\/(-168)). Suppose w*n + 8 = 23*n. Determine d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -29, -34, -35, -32, -25, -14?\n\"Answer: 2*c**2 - 15*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59779, -239061, -537863, -956185, -1494027?\n\"Answer: -59760*a**2 - 2*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 12 + -16 - 41 - 16 - (1 - -2)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 955867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*s = 4*v - 1669, -s + 1242 = 3*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 7. Let i be l(-10). Suppose 0*a + 4*a - i*j - 11 = 0, 4*a + 3*j - 29 = 0. Solve -4*p = a*n + 20, -n - 8 = 3*p + n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p - 7. Let a(j) = -7*j - 11. Let x(t) = 2*a(t) - 3*h(t). Let d(s) be the first derivative of -2*s**3\/3 + 1. What is x(d(c))?\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6323484 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14756 and 16697468?\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 4. Let o be j(6). Let c(v) = -2 - o + v + 3. Let m(u) = -u**2 + 6*u - 3. Let b(l) = -6*c(l) + m(l). Determine b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312302304 (base 5) to base 3.\nAnswer: -2102120212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 j when three letters picked without replacement from ecjjjzjzeeeee.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 + ((-2)\/40 - (-120)\/400). Which is the nearest to 10? (a) 10 (b) g (c) 2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 1. Let z(f) = 5*f + 1. Let v(t) = 7*b(t) - 3*z(t). Let l be v(2). What is the greatest common factor of l and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-20)\/(-182))\/(((-725)\/175)\/29).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1228 - 617 - 5995*i - 611 as o*i + f and give o.\nAnswer: -5995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16\/8*2\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (5 + -1*sqrt(76)))**2.\nAnswer: -40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3979 greater than -3992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - w**2 + 8. Calculate the lowest common multiple of j(0) and 3 + 8\/(6 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 34, 3 in decreasing order.\nAnswer: 34, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 - 138. Suppose 4*x - o*x - 204 = 4*u, -4*u + 356 = 3*x. What is the highest common divisor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -8)*((-280)\/49 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11022 (base 5) to base 6\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 339801 and 4851.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2886 and 3721571?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, d: 4}. What is prob of picking 2 u and 2 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*g + z - 5, -3*g + z = -15. Suppose j + j = g. Find the second derivative of 3*l + 4 - 3*l**j - 4 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4\/13, 3\/4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55513 - -81940. What are the prime factors of z?\nAnswer: 3, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*y - 876 = 0, 2*k = -y + 307 + 292. Let v = k + -374. Is -77 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*h**3 - 4354*c**3*h - 995*c**2*h**3 + 14*h wrt c.\nAnswer: 12*h**3 - 26124*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 112\/13, 0.3, -3, -1\/2, 5 in descending order.\nAnswer: 112\/13, 5, 0.3, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2048474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 894428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.052 and 4.\nAnswer: 0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 995 = -175. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3023 + -1404?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-3)*3344\/(-64). Let m = q + -207. Solve 0 = 3*u - 3*p - 15, -m*u + 7 = -3*u - 5*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/4 + -1*3. Let m be 15\/2*4\/o. Sort -5, -6, m.\nAnswer: -6, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166 less than or equal to 3163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/7211 greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1458, 1544, 1630, 1716, 1802?\n\"Answer: 86*c + 1372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 882066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145968 = 4861*u + 155414 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - 2) + 176 + -194 + -5\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 50 = 20*t. Suppose 0 = 5*d - t*r + 3*r - 17, d = 3*r + 9. Solve 2*n + 6*j + 3 = d*j, j = n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = 5*l + 23, l + 5*o = -25. Let x be (-7 - -4)\/(-1 + l). Suppose 0 = -k - k + 8, 49 = x*h + 4*k. What is the highest common factor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 0*h + 2*h)*(2 - 7 - 15)*(2 - 3 + 0)*(-3 + 4 - 3).\nAnswer: 80*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -754*l + 2262*l - 760*l - 751*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37\/540 + 1\/54. Calculate the common denominator of 75\/16 and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*k - 9 = 0, -5*k + 0*k = 5*t. Let l = 0.4 + -3.4. Which is the nearest to 1? (a) t (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f - 31. Let c be m(9). Solve -5*v = 2*a - 6, 3*v - 5 = c*a + 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-126 - -122)\/(2\/29*-1). Let h = 62 - a. Solve 2*v + 7 = h*j - 5, -3*v - j = -17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k - k - k + k. Let l(r) = -r**2. Let z(b) = -b**2. Let f(t) = -4*l(t) + 5*z(t). What is v(f(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 182\/26*4\/28*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1. Let w(l) be the second derivative of -l**3\/3 + 3*l**2 - 9*l. What is 8*s(d) - w(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i = 45. Let d(j) = j - 9. Let y be d(i). Solve -y*s + 24 = 4*r - 2*s, -5*s - 10 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50911422?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -1708*q + 1717*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 124311208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-33)\/15)*(-10)\/(-4). Suppose 0*o + 4 = -d*o + 2*b, 2*b = 4. Solve -5*n - 4*l = -35, -n = -o*n - 2*l + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 25.13. Let q = -134 + 134.53. Let p = q + y. What is the closest to -0.1 in 0.2, p, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15*g - 477. Let x(a) = -4*a - 159. Let q(n) = -6*i(n) + 17*x(n). Let p be q(-6). Solve 0 = -3*h - o + 3 + 12, 0 = 3*h + 5*o - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47190 and 780.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*q + 124*q = 6540. List the prime factors of q.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/3 - b**3\/6 - b. Let m be t(1). Differentiate -4 + 3 - 2*h**3 + 0*h**m wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 29 - 879 = -138*n + 533 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 825205291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (8136 - 8136 + 459*s**2)*(3*s + 0*s + s - 6*s) as r*s + t*s**3 + h*s**2 + y and give t.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*l - 126356, 45*u = 50*u + 3*l - 126374. Suppose 88287 = 34*c - u. What is c rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + u**2 - 1. Let p be v(1). Suppose 3*s = -p*y + 1175, -465 = 4*s - 5*y - 2070. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -804 - -835. Let x(c) = -c**2 - 32. Let q be x(0). Let y = q + v. Which is greater: y or -9\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 + (-15)\/(-6). Suppose 3*f - 16 = 2*d, v*d + 2*d - 8 = -4*f. Let h be 15\/(0 - 3)*-1. Solve 4*g = w + 12, f*g - 5*w + h = 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -49.2 (b) -1 (c) 0.5 (d) -41 (e) 93 (f) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.05 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -4059.\nAnswer: 16236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86212541.\nAnswer: 131, 658111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 18127*u + 36259. What is x(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -8. What is the highest common divisor of 63 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 2:50 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = -2*c - 24. What is the remainder when c is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.2 + 2.9. Let q = j + 14.3. Let h(o) = o**3 - 4*o**2 + 3*o + 2. Let v be h(3). What is the third smallest value in v, -0.4, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16, -4\/9, -308?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - (-11 + 4 + 2)) + 9 + 40.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 132220 (base 4) to base 11\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -42. What are the prime factors of ((-9)\/(45\/(-20)))\/(k\/(-42))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3627872.319693 - 3627870. Let j = 2.32 - q. Round j to five decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-2)\/52*-2). Calculate the remainder when (-124)\/2*r\/(-26) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -687*h**2. Let r(t) = -2*t. What is r(g(x))?\nAnswer: 1374*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7566 + -7542. Let h be (1 + -2 - -1) + 2. Let n = 1 + h. What is the highest common factor of m and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y - 7. Let b be d(-2). Suppose -5*g = -3*n + n - 39, 3*g = 4*n + 29. Suppose -t - 1 = 3*f - 6*f, f = 4*t - g. Sort f, b, -3 in decreasing order.\nAnswer: b, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Does 2 divide (k\/(-4))\/((-15)\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282666 is divided by 31406?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2463644*b**3 - 7385613*b**3 + 1722229*b**3 - 6219360*b**3.\nAnswer: -14346388*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 77*l. Suppose 28*v - 23*v - 15 = 0, -4*d + 2*v - 18 = 0. Let x(p) = -p**2 + 26*p. Calculate d*j(z) + 8*x(z).\nAnswer: -2*z**2 - 23*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - -2) + (-101 - -98)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**3 - 8*i + 1. What is the lowest common multiple of 30 and w(4)?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 2. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcu when three letters picked without replacement from yacuubjubcau?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -75. Sort m, -3, 1 in ascending order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 10:10 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/21 - -1)\/(40\/(38080\/51)). Solve 3*x = -q*u + 20*u + 16, -5*u = 4*x - 42 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 436 = -15*o - 64*o + 1814 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -0.2, -6\/11, -2, 46, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 + -113 + 122\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.2 (b) -1 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874*t**2 - 905*t**2 - 902*t**2 + 3582*t**2 - 905*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/7 - 21996*x**2\/7 + 2241798*x\/7 - 2219800\/7 = 0.\nAnswer: -11099, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 18*i**2 + 55 + 6*i - 54 + 8*i**2 - 51*i to the form k + o*i**2 + z*i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7658 + 7688. What is the highest common divisor of 5505 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*3\/(-2)*(19000\/225)\/76?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5181255, -10362509, -15543759, -20725005, -25906247, -31087485, -36268719?\nAnswer: -41449949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -36, 7, 42\/5, 2 in increasing order.\nAnswer: -36, -1\/6, 2, 7, 42\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 31 = 23. Which is the smallest value? (a) 4 (b) 5 (c) 0.5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 14. Determine s(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1654 + -848. What are the prime factors of o?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 20, -4, 16, 0.\nAnswer: -4, -2, -1, 0, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3333 is divided by 1625?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1, 104 in increasing order.\nAnswer: -1, 0, 2, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 616 + -600. Suppose l + 56 = -36*c. Let y(x) = -9*x**2 - 4*x - 2. Let s(m) = 37*m**2 + 17*m + 9. Calculate c*s(a) - 9*y(a).\nAnswer: 7*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*p - 281*p + 268*p = 764*p + 89829 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 2*v**3\/3 - 23. Let b(f) = 32*f - 22*f - 49*f + 2. Give m(b(i)).\nAnswer: 3042*i**2 - 312*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 158956, 158970, 158992, 159022, 159060, 159106?\n\"Answer: 4*k**2 + 2*k + 158950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0199283769 rounded to 5 dps?\nAnswer: -0.01993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39289829 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 32 = 4*j, -3*g - 7 = -4*j - 3. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 1:53 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 3*g + 289 - 451, 0 = -u - 5*g - 54 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3060 and 935.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2299)*3)**2.\nAnswer: 41382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/5)\/(-9))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = -8. Suppose -3*g = -g - r. Suppose -2*o - o = g*j - 63, -4*o + 84 = j. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108*j**6 - 2*j**3 + 121*j**2.\nAnswer: 12960*j**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -8. Suppose 0 = -5*h - 5*d, 4*h = -d - d - l. Which is the second smallest value? (a) -0.3 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {h: 1, m: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from itiittititiiii.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 56 = o + 2*o, 0 = o - v + 20. Let c(x) = -x + 14. List the prime factors of c(o).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -k. Let o be (2\/5)\/(k\/(-5)). Let q = 3 - o. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**19)\/((k\/k**4)\/k))**(-2\/17) assuming k is positive.\nAnswer: k**(28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a3 - 78b?\nAnswer: -c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*p - 2*p**2 - 2*p**2 + 1 + 8*p**2 + 2*p**2 to t*p**2 + i*p + u and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from {d: 1, c: 1, b: 1, s: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z + 20. Let n(l) = -3*l**2 - 4*l - 3. Let a be n(-1). Let o(g) = 21*g + 21. Let x(b) = a*w(b) + 3*o(b). Find the first derivative of x(d) wrt d.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525) + 2*sqrt(525) + sqrt(525) - (sqrt(21) + sqrt(2541)*3 + sqrt(2541)))\/((sqrt(7) + 2*sqrt(343) + 3*sqrt(7)*2)*-1).\nAnswer: 25*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 + 5 + 7 - -6) + -11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*f + 3*r - 21, -f + 6 = -4*r. Let o(z) = z**2 - 4*z - 60. Let p be o(f). Solve p = -6*k + k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/603 and 1\/138.\nAnswer: 27738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54, -55, -56?\n\"Answer: -f - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30123 divided by 12\nAnswer: 10041\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5. Let u = z - 11. Let p = u + 10. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 23*v**2 + 1198*v - 96. Let y be t(-48). Is y != -3\/1007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 63*g**2 - 250*g + 11823. Give r(64).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9 - (1 - (-16)\/(-3)). Let v(g) = -g. Let j(k) = -4*k - 1. Let z(y) = -y**3 + 2*y**2 - 2*y + 3. Let c be z(2). Calculate c*j(s) + i*v(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**13\/y)*y)\/y**(8\/7) assuming y is positive.\nAnswer: y**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + 15. Let j = 110 - n. Suppose 2*s - 2 - 2 = 0, -s - j = -x. What is the highest common divisor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 183, -4, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4 = l. Let g(q) = -4*q**2 - q**3 + 0*q**3 - 7 - 7*q + 2*q**l - 4*q**2. Give g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 5*h**2 + 2*h**2 + 2*h**2 + 0*h + 0*h + (4*h - 3*h + h)*(-2 - 2*h + 2) - h - 3*h**2 + h + (-3 + 3 - 2*h)*(4*h + 4*h - 6*h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 1 (c) 887 (d) -5 (e) 108\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4092953 + 1184329.\nAnswer: -2908624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(768)*-5) + ((5*sqrt(84) - sqrt(84))*5)\/sqrt(12) + 5.\nAnswer: 5 + 799*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Let v(y) = y**2 - 15. Let x(k) = k**2 + 6*k + 3. Let w be x(-4). Let l be v(w). What is the highest common divisor of f and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.7? (a) -4 (b) -3 (c) -462 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.7 + -8. Let z = 1.5 - -0.5. Which is the closest to 2? (a) -5 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + v**2 + 63. Let r be d(0). What is the second derivative of r - 11*q + q**4 - 63 wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31911 (base 14) to base 3\nAnswer: 20002021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3e23e (base 15) to base 16\nAnswer: 30bd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 3 + 41 = 0. Suppose -o + 0*o + 5*v = -47, -j*v = 2*o - 80. Calculate the least common multiple of 56 and o.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*y**2 + 249*y**2 + 68*y**2 + 97*y**2 + 43*y**2 as n + q*y**2 + j*y and give q.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5 - 73140*a**4 - 804110*a**3 + 6872820*a**2 - 9944048*a = 0.\nAnswer: -36559, -17, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*x - 8 = 0, 2*x - 8 = -10. Is (-6)\/10 + (u - (-48069)\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19805 + 42705. List the prime factors of h.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 11\/6*a**3 + 5*a - 19\/2*a**2 + 0. Let y be t(11). Calculate the highest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w + 24. Let h be s(7). Let c = -14 - h. Suppose o - c = -0. Calculate the smallest common multiple of 9 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(13\/5)*(o**(2\/3)\/o)**(1\/11) assuming o is positive.\nAnswer: o**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 183*s**2 - 48*s**2.\nAnswer: 135*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300886 and 752215.\nAnswer: 1504430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231056537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/6076616 and -103\/884?\nAnswer: 6076616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 806, 2080, 3920, 6314, 9250, 12716?\nAnswer: 16700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 6*f**2 + 3*f - 11. Determine p(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*z + 57. Calculate the remainder when 36 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v + 34*v - 40*v**2 - 99*v + 35*v.\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231995544 to the power of 1\/2, to the nearest integer?\nAnswer: 47244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1229142820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 7795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -181610476, -181610474, -181610472, -181610470?\n\"Answer: 2*l - 181610478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-1 - 3)) + -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + sqrt(15)\/sqrt(3)*-1.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 35*z + 100. Let i be (-36)\/(1\/2 + -2). What is the tens digit of s(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlnollnotloonlool. Give prob of sequence oolt.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 6. Let x = 17 + n. Let s = x - -39. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10044982, -20089966, -30134950, -40179934?\n\"Answer: -10044984*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -241 - -240. Let f = 0.48 + -0.18. What is the fourth biggest value in f, 2\/9, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)\/(u\/((((u\/u**2)\/u)\/u*u)\/u)*u)*((u**(-2)\/u)\/u)**21 assuming u is positive.\nAnswer: u**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82298 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*a*f*h - a*f + 9*a*h**2*t + a*h**2 + 25*a*h*t - 442*a + 45*f*t wrt t?\nAnswer: 9*a*h**2 + 25*a*h + 45*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 15*o + 79. Let d be k(16). What is the remainder when 1279\/7 + (108\/d)\/6 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 0*a + 5*a - 18*a**2 - 4*a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 48*p**2 - 60*p**2 - 2 as x + q*p**2 + j*p and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 168. Is n at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 204?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-3))\/(-1) + -1. Suppose -5*f = 5*v - 40, 10 = j*f + v - 8. What are the prime factors of (24\/f)\/(4\/30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 437*a**2 - 888*a - 4400. Determine r(-439).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -1\/11*w**3 - 1\/55*w**5 - 5\/44*w**4 + 0*w + 0*w**2 + 190 + 1\/66*w**6. Factor b(a).\nAnswer: a**2*(a - 3)*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/1077 and -79\/150?\nAnswer: 53850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*c = 0, 3*c = -0*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 = -3*h + 3*v, -639 = -5*h + 2*v + v. Suppose -3*a + 179 = x, -a - h = -3*a - 4*x. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1377) + -1)*2.\nAnswer: -6 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*n + 7*r - 5*r, 0 = -n + 609*r - 608*r + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.8. Put 4\/11, 0, d, 3 in decreasing order.\nAnswer: 3, 4\/11, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -428 times 7?\nAnswer: -2996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + v**2 - v. Let h(k) = 14*k**3 - 21*k**2 + 21*k. Suppose -2*s + 2 = y, 6*s - 17 = 11*s - 3*y. What is s*h(b) - 21*w(b)?\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2921066?\nAnswer: 2, 67, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -11 (b) -0.08 (c) -1596\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 184073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 28*a + 23. Suppose -61*q - 277 + 153 - 486 = 0. Calculate y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142976364.\nAnswer: 2, 3, 89, 133873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -22233.1 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8057.991 decades?\nAnswer: 80.57991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/9, 385, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)\/p**7)\/(p**(1\/12)\/p*p**(16\/3)\/p) assuming p is positive.\nAnswer: p**(-601\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 take away -76376506?\nAnswer: 76376422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 634, -5, 3, 75, 5 in decreasing order.\nAnswer: 634, 75, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 1062?\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 325, 668, 1245, 2134, 3413, 5160?\nAnswer: 7453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9843 + -118181\/12. Find the common denominator of -70\/33 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*c**5\/3 - 150*c**4 - 27505*c**3\/3 + 27020*c**2 - 44980*c\/3 - 2720 = 0. What is c?\nAnswer: -24, -1\/7, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 1:00 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 14. Let y be g(-8). Suppose n - 17 = -y. Let t = n - 1. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*i + 1, -2*i - 24 = -3*t + 2*i. Let p be t\/(-6) - (-19)\/24. Are 1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13395 and 1786893?\nAnswer: 2679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25547 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104 + 7637?\nAnswer: 7743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -17 - (-2 + -4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8596 * 1244.\nAnswer: -10693424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**41*(q\/(q\/(q**(-33)\/q)))\/q)\/(q**33*q**(1\/21)\/q) assuming q is positive.\nAnswer: q**(-547\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 1 + 3*v + 0*v)*(2 - 8 - 1) as g*v + b and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -301 - -303. Which is the nearest to -3? (a) -3 (b) -3\/7 (c) -2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = 5*g + 1, -5*g = p - 6. Let f be (p\/(-6))\/((-92)\/(-276)). Solve -2*j = 4*m + 6, -3*m + 4*m = f*j + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 - 5232*c\/7 + 847620\/7 = 0 for c.\nAnswer: 1662\/7, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -24. Suppose 3*m - 2*m + c - n = 0, 5*c - 15 = 0. Calculate the remainder when m is divided by 108\/(-135)*715\/(-52).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/3 - 66256*y**2\/3 - 556012682*y\/3 - 40063778932 = 0.\nAnswer: -16453, -222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6)*(-1)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -582.2 + 582. What is the closest to -0.1 in 0.3, -0.1, f, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7048.743 nanometers?\nAnswer: 0.000007048743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4858?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-78)*(-13)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + (-27)\/(-5). Suppose -g*n + 1 = -w - 2*n, -2*w = 5*n + 2. Let b be -1 - (w + -2) - 2. Is b less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8410*n**3 + 20*n - 10 + 8408*n**3 + 2*n to w*n + d*n**3 + q*n**2 + g and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from ellklleewww.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, 462, 1393, 2830, 4827?\n\"Answer: 9*t**3 + 172*t**2 - 100*t - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (577 - 577 - 59*f)*((1 + 5 + 1)*(-1 + 5 - 3) - 3 - 2 + 8).\nAnswer: -590*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**4 + 6*i**4 - 9*i**4 + i**2 + 6 + 4*i**4 + 3*i as u*i**3 + z + t*i**4 + a*i + n*i**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2. Suppose -3*c - 16 = z + 2*c, -2*z = 4*c + 8. Let q(w) be the third derivative of -1\/24*w**z + 0 + 0*w - w**2 + 0*w**3. Give q(g(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l - 64*l + 139*l - 14*l - 24*l - 20*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -310, -452, -574, -670?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37b5 (base 15) in base 9?\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24311 is divided by 3638.\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39763 + -39022. Calculate the highest common divisor of 1710 and w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c**2 + 2 + 4 - 6.\nAnswer: 41*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o + 6*o - 8*o - 7 - 3*o. Determine y(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13273640 to the nearest ten thousand.\nAnswer: 13270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.137 - 1819.\nAnswer: -1814.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3625, -3622, -3615, -3604, -3589?\n\"Answer: 2*i**2 - 3*i - 3624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020112 (base 3) to base 13.\nAnswer: -989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*q + 48*q + 407925. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72.99918 + -73. What is l rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -7*j + 31. Solve j = -2*g - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 0*v**3 - 15*v**2 + 0*v + 0*v**4 - 1\/1890*v**7 + 0*v**5 + 0 + 0*v**6. Factor w(h).\nAnswer: -h**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(-6 + 803*u + 735*u + 6)*(3 - 5*u - 3).\nAnswer: 7690*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5353, -20791, -46527, -82567, -128917?\nAnswer: -185583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*c - 8485 = 8314 + 6666 for c.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*s - 18*s - 18*s - 55*s**2 + 39*s**2 - 21*s.\nAnswer: -16*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*f - 4, 0 = -4*f - 7 + 23. Which is the closest to 1? (a) v (b) 3\/2 (c) -1.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 4*a + 3. Let q be n(4). Suppose 3*w = -q*l - 3, 2*w - 8 = 4*w. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1116)\/228 - -5) + (-160)\/798\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrxrrxxrxrvvv. Give prob of sequence rvx.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8367907046?\nAnswer: 2, 79, 241, 219757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2283380 or 2283416?\nAnswer: 2283416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10 (b) -28\/5 (c) -0.6 (d) -0.1 (e) 2\/7 (f) 2\/5 (g) 1\/14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.59766 weeks in hours?\nAnswer: 1444.40688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let r(c) = -211*c**2. Calculate n(r(u)).\nAnswer: 422*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:21 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-2 + 2)) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/14, -8832, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8887 + 0.1113. Sort 2\/5, k, -0.22.\nAnswer: -0.22, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4598) - (sqrt(4598) + (sqrt(4598) + sqrt(4598)*1 - sqrt(4598)) + sqrt(4598) + sqrt(4598)))\/(sqrt(8)\/(sqrt(4)*2)).\nAnswer: -66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z + 36*z - 4*z + z in the form y*z + w and give y.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1649*u + 34616. What is k(-21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (21 + -1 + 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*m + 2*m = 122, -48 = -w + 4*m. Let v(i) = 4*i. Let c be 2*(0 - -1 - 0). Let o be v(c). Calculate the highest common factor of o and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(250)\/sqrt(125))\/sqrt(10))**2 + 1.\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 9, -0.4, -17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 + -3.7\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4942?\nAnswer: 2, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let k(f) = -22*f. Calculate 2*k(x) + 18*m(x).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 121335051 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 54000 (base 6) to base 2\nAnswer: 1110010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2299) - (sqrt(2299)*2 + -4))**2 + (0 + sqrt(2299))*-6*6.\nAnswer: -484*sqrt(19) + 2320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2187))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in 118, -0.1, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4898906 = 4*t - 2*a, 48*t + 5*a = 52*t - 4898927. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 21*r - 23. Let k be u(15). Let c(d) = -3*d + 6 + 10*d - 42 + k. What is the units digit of c(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 304 + -367.1. What is r rounded to 0 dps?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 4. Let n = a + -5. Suppose t = n + 8. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04559514 - 0.0456. What is j rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 39. Let x = b + -10. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 divided by -142?\nAnswer: -567\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**3 + 3*m - 3*m)*(67 + 155 + 667 + 293) to the form y*m**2 + k + j*m + w*m**3 and give w.\nAnswer: -1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180 - 97. Let f = -82.934 + u. Let x = -0.003 + f. Round x to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 12*x**3 + 6*x**3)*(0*x - 5*x + x) + x**4 - x**3 + x**3.\nAnswer: -79*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-18)*12\/16. Suppose -g*j - 3*r = -120, -6*j + 9*j - 158 = r. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - -0.32. Let d = 0 + m. Let v = -0.3 + d. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1436 + 1435. Put 0.1, -3\/2, w, 452 in decreasing order.\nAnswer: 452, 0.1, w, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 287. Is (2 - q) + (0 - -4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -1 - sqrt(20)\/(sqrt(4)*2))**2.\nAnswer: -7*sqrt(5) + 249\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13.7*7\nAnswer: 95.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*d - 15034*d - 14222*d.\nAnswer: -30095*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1796 = 5*x, -4*x + 0*f + 1442 = 2*f. Suppose 4*y = -y + x. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + b)*(1 + 1 + 1) + (-2 + 5 + 2)*(-2*b - b + 1 + 5*b) + (0 + 2 - 1)*(4*b + 0*b - 3*b).\nAnswer: 14*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 55, -4 in decreasing order.\nAnswer: 55, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1472872 and -1.819.\nAnswer: -1472873.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k + 3 + 0*k**2 + k**2 + k**2. Suppose 6*z + 9 + 27 = 0. Let q be c(z). What is the greatest common factor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 1723*y - 1719*y + m, 4*y + 5*m = -8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*q + 9*t, -5*q + 4*t = 0. Suppose 0 = -6*j + 3*j + 4*m + 92, 0 = -2*j - 4*m + 28. Suppose j = 59*w - 51*w. Sort -4, q, -2, w in decreasing order.\nAnswer: w, q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*d = -d - 36, -3*t + 18 = 2*d. Let c be (-5)\/(-8)*t\/(-20). Put 0, -0.1, 3, c in ascending order.\nAnswer: c, -0.1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 487 + -483. Suppose c*i - 2*i - 3555 = o, 0 = -4*i + 5*o + 7113. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29256996073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -229 - (-90 - -68 - 107)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 27 = 7*c + 22. Let k(v) be the second derivative of 0*v**3 - v + 0 - 1\/6*v**4 - 3\/2*v**2. Let x(r) = 4*r**2 + 7. Calculate c*k(h) - 3*x(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/5 + 304*f**2\/5 + 11552*f\/5 = 0. Calculate f.\nAnswer: -76, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 333*k**2 + 654*k.\nAnswer: 3*k*(k - 109)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 2)\/2*1. Let r = 6 + z. Let m = 16 + -8. Let q(o) = -3*o - 14. Let s(g) = 2*g + 9. What is m*s(h) + r*q(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85039303 is divided by 138.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162988 greater than or equal to 3162989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 112\/(1\/1). Let t be ((-18)\/2 + 1\/1)*-2. What is the greatest common factor of t and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -38, 0.5, 7, 26 in decreasing order.\nAnswer: 26, 7, 4, 0.5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2161711 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssl when three letters picked without replacement from {s: 7, y: 1, l: 2}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**3 - 4*u**2 - 2*u - 5. Let w(r) = -11*r**3 - 10*r**2 - 5*r - 9. Give 6*w(c) - 15*y(c).\nAnswer: 9*c**3 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 6415. Let t(n) = -4*n + 2. What is t(b(z))?\nAnswer: -12*z - 25658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*i**3 + i**4 - 2 - i + 27*i**3 + (-2*i + 4*i - i)*(-1702*i**3 - 577*i**3 - 906*i**3) to s*i**3 + c + u*i**4 + w*i**2 + n*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.863506 to the nearest integer.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49699770.\nAnswer: 2, 3, 5, 1656659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 189\/204)*125040\/26050.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -106, -16, -2 in decreasing order.\nAnswer: 5, -2, -16, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 17*a - 4. Let v be ((-54)\/45)\/((-2)\/25). Suppose 3*c = -0*c + v. Does 31 divide x(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 t, and 1 o when three letters picked without replacement from {t: 1, a: 1, k: 1, g: 1, o: 2, n: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Suppose -y + 60 = 4*a, y = -5*a - u*y + 75. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -0.1678445.\nAnswer: -1.5106005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 15 = -f, 4*f - 120012 = 5*l. What is l rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = -5*m. Let c = -3 + m. Let a = 132055 - 132055. Solve -z + c*z + 1 = a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1 - 2 + 0*s - s. Let v = 14 + -19. Let q be o(v). Solve l - 2*m = -4*m - 2, -18 = -3*l + q*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/11)*h**(-19)*(((h*h**11)\/h)\/h)**50 assuming h is positive.\nAnswer: h**(5289\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 17*b - 33. Let v(t) = -148*t**3 - 2*t**2 - t. Let h be v(-1). Suppose 0 = -5*j + h - 22. What is the remainder when j is divided by l(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4394, 35033, 118162, 280019, 546842, 944869, 1500338, 2239487?\nAnswer: 3188554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5\/13 + 1726*i**4\/13 - 17514*i**3\/13 - 46534*i**2\/13 + 531424*i\/13 + 558720\/13 = 0?\nAnswer: -873, -5, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56605, -113258, -169937, -226654, -283421, -340250, -397153, -454142?\nAnswer: -511229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1087306368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1*((-100)\/30 - -3). Is (v + 2)*((-1895)\/(-2) - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 96*u**2. Let m(z) = 0 - 6916*z**2 + 0 + 6917*z**2. Determine m(l(y)).\nAnswer: 9216*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (54 - 50) - 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 16*x + 7*x. Let v(z) be the third derivative of -z**4\/24 + 22*z**2. Calculate m(v(o)).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -11. Let b(r) = r**3 + 10*r**2 + r + 4. Let d be b(-9). Suppose -5*w + 86 = a*v, 4*v - 5*w - d = v. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from ajmajejjmtaaea.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (0 - -6)) + -2 + -3 - -23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741876233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 18*f + 1. What is r(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5079*c = 11573 + 3664 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1095765 and 2588685.\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 18}. Give prob of picking 2 w and 2 c.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 905, 1075, 1251, 1433, 1621, 1815, 2015?\nAnswer: 2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/(-35) + 2 + (-6)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 44. Let v(f) be the first derivative of 4*f**3\/3 - f**2\/2 - 4*f + 1. Let b(h) = 3*h**2 - h - 3. Calculate y*b(l) - 5*v(l).\nAnswer: -2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(28)\/sqrt(63))\/(5*sqrt(18)\/sqrt(9)) + 0)*3*-6.\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300659 and 21996.\nAnswer: 140708412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 + 20408?\nAnswer: 20395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7032664027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:14 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*o + 2454 - 48638, o + 4*r = 11573. What is the highest common factor of 417 and o?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5)*-2*1 + sqrt(5))**2 + 1 + ((sqrt(40)\/(-3*sqrt(8)))**2 - (2 + sqrt(720))**2).\nAnswer: -6367\/9 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -3*p - 5, -3*p - 94 + 97 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-139)\/((-115092)\/460)*(-9)\/2)\/((-3)\/(-36))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96 or 0.01583198?\nAnswer: 0.01583198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 5:40 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*c*q*w**2 + 3*c + 3*q*w**3 - 10*q wrt w?\nAnswer: 14*c*q*w + 9*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 756 and 10528?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -12*y**2 - 13*y + 14 - 2 + 2 - 1 + 16*y**2. Let v(s) = -s**2 + 3*s - 3. Suppose -3*l + 6*l + 27 = 0. Calculate l*v(n) - 2*m(n).\nAnswer: n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 20*a = -8*a - 144 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 1 = 0. Suppose 0 = -a + 4, -9*b - 120 = -8*b + a. Let j = 125 + b. Solve j = -2*k - x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.9 (c) 106 (d) -4 (e) -2 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from ijisjimjjism?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1023 + 1987\/60357. What is the biggest value in -1, o, 0, 0.4, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35363129 a multiple of 1534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 270801883, 270801883, 270801881, 270801877, 270801871?\n\"Answer: -w**2 + 3*w + 270801881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121.5 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -7*f - 130. Suppose -1414 = -f*w + 5528. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-9) + (-14)\/(-63). Let f = 1 - 26. Let x be 0 + h\/(-5) + 105\/f. Sort x, -6, -3 in increasing order.\nAnswer: -6, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -142\/7, -0.48, -1\/8, -1\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50233703 - -0.104.\nAnswer: -50233702.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 263531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in -17\/3, -2\/13, -8\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 836825924*i**2 + 630407373*i?\nAnswer: 1673651848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2452.68 times 117\nAnswer: -286963.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116710482?\nAnswer: 2, 3, 7, 251, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -194558 plus -0.0212?\nAnswer: -194558.0212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 26\/(0 + 2). Suppose 0 = n + 2*n - f. Suppose -2*t = 3*a - 31, 6*a - 2*a = n*t + 8. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8896?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 414*n + 1814. Let h(o) = 82*o + 363. Let v(l) = 14*h(l) - 3*p(l). What is the first derivative of v(m) wrt m?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 806 = -0*n. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = -17*p + 174 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w = -93 - 43 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a + 3. Let z = 3 - -1. Calculate the remainder when 67 is divided by t(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419528 is divided by 3226?\nAnswer: 3194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*y**2 - 36*y**2 + 360*y + 3*y**3 + 22*y**2 + 432 = 0. What is y?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/569 + -27849\/2276. Calculate the common denominator of 83\/10 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -52*d**3 + 49*d**2 - 5*d + 5. Let h(s) = 78*s**3 - 74*s**2 + 7*s - 7. Let z(c) = -5*h(c) - 7*u(c). Find the third derivative of z(y) wrt y.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4073244*v - 2036754*v - 2036476*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 7848 + 12872. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8))**2 + -1)*4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 1 - 408*x**3 - 17*x**2 - 1 + 207*x**3 + 215*x**3 in the form a*x + t*x**2 + w*x**3 + f and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924 = 666*z - 624*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnsnsnnnnpnnvsnn. Give prob of sequence nss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g**2 - g)*((-2*g - 2*g + 6*g)*(g**2 - 2*g**2 - 3*g**2) + 0 - 7*g**3 + 0).\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let q = -34 + 38. Let m(t) = 39*t + 21. Let k(c) = 4*c + 2. Let n be -63*3\/(9\/2). Let l(w) = n*k(w) + q*m(w). Calculate j(l(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1462*k - 948 = -1468*k. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - a - 3 + (1 - 5 + 3)*(a - 4*a + 4*a) - 32856 - 648*a - 32856 + 65715 + (3*a + 3*a - 4*a)*(5 + 2 - 6) + 3*a + 3*a - 4*a - 1 + 2*a + 1.\nAnswer: -644*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -16*q. Let d(n) = -26 - 3*n + 26 + 0*n + 2*n. Calculate d(v(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333*109.\nAnswer: 36297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*m - 622*m + 1551*m = -2259*m + 200961 for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1260\/80)\/(4473\/1278)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3 and -28095660.\nAnswer: -28095658.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.351 (b) -3\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1515837 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.434242 - -0.3.\nAnswer: -64.134242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 74, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16707 is divided by 174.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 18 (c) 0.3678 (d) 1.7 (e) -3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 0 + 0 + 12*t + 2 + 6. Let w be k(-12). Solve z - 1 = l, 4 - w = 2*l - 4*z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76728288?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -234 - -239 - (-54)\/(-10). Which is the fourth smallest value? (a) -2 (b) 1\/12 (c) s (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14945*y - 1318071 = 411777 + 227947 for y.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -27*t + 753. Calculate the greatest common factor of 128 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + q + 2*q + (-9 - 1 + 0)*(1 - 1 + 2*q).\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + sqrt(242))**2 + -1 + -4.\nAnswer: 66*sqrt(2) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 9\/70*s**7 + 2*s**3 - 9*s**2 + 0*s**6 - 1\/15*s**5 - 3*s + 0*s**4 + 0. Differentiate v(l) wrt l.\nAnswer: 108*l**3 - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 7)*(-10*f**2 - f**3 + 10*f**2)*(-4 - f + 4).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 + 6*d - 2. Let c be y(5). Find f such that 3*f**3 - 2*f**2 - c*f**2 - 4*f**3 - f + 3*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -82, -2 in decreasing order.\nAnswer: -1, -2, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 5. Let z(j) = 2*j. Determine z(f(p)).\nAnswer: 4*p + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -2309*f**5\/30 + f**4\/4 - 85*f**3\/6 - 2*f**2 - 65*f - 20. Find the second derivative of y(b) wrt b.\nAnswer: -9236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2\/9 (b) 0.62 (c) 2 (d) -2\/39 (e) -282\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14449540*s**4 + 5525101 wrt s.\nAnswer: -57798160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-315) - 4\/(-6))*1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 271.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*q. Solve -3*c = q*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, h: 6}. What is prob of picking 1 h and 1 f?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 9*p = 2*b + 22, -2*p + 23 = 3*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6808*k - 607. Is z(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {a: 4, b: 3, h: 11, j: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1642, 2151, 2660?\nAnswer: 3169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2390391 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2*sqrt(125) + sqrt(125))**2 + sqrt(20) + -1).\nAnswer: 8*sqrt(5) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286216506426 take away -0.8?\nAnswer: 286216506426.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -37.693837.\nAnswer: 41.693837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from yqyqqyqyyq.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3081*z**3 - 6*z**2 + 11*z - 66. Let h(p) = -616*p**3 + p**2 - 2*p + 12. Determine -2*g(b) - 11*h(b).\nAnswer: 614*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 1 + 0 + 2 + 0*s + 0*s + s + (-4*s + 5*s - 2*s)*(-1 - 2 + 2) - 2*s + 2*s + 2*s + 2*s - 2*s - s - 2*s - 3 + 3 - 2*s + 2*s + s.\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 9*f**2 + 3*f**2 + 0*f**3 - 12*f**2.\nAnswer: 3*f**3 - 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/189, 9151, -2\/25 in increasing order.\nAnswer: -2\/25, 1\/189, 9151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*w - 120*w + 30 = -243*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44.6 - 45. Which is the smallest value? (a) o (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 731 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003371747 rounded to five dps?\nAnswer: 0.00337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**13*b)\/b**(-6))\/(((b\/(b\/b**(-2\/15)))\/b)\/b**(-13\/2)) assuming b is positive.\nAnswer: b**(-311\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121077907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 132? (a) 2\/3 (b) 0.5 (c) -0.229 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 4*f**2 - f**2 + (f + f - f)*(2*f - 4 + 4) + 2*f**2 + f - f + (-4*f**2 + 2*f**2 + 4*f**2)*(4 - 5 - 1) as q*f**2 + j*f + x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.28 - -0.58. Which is the nearest to -1? (a) 0.2 (b) w (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r - 40. Suppose -2*u + r = 3*b - 4, -5*u = -5*b - 10. What is the remainder when 64 is divided by -4 + 2 + b*12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4805740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 505470108 to the nearest integer?\nAnswer: 22483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + -43 + 35?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11111010110101?\nAnswer: 11111010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 + -167. Let n = 153 - d. Let c(f) = -4*f - 3. Let j be c(-4). Calculate the highest common divisor of j and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -9. Let r = 25.998 + 0.002. Let d = r - 25.5. Which is the closest to 3? (a) j (b) d (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 23. Suppose -2*g - 10 = 0, 3*g + 52 = 4*p - g. Suppose -p = -4*f - 0. Calculate the greatest common divisor of f and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*r - 78, -8 = -q + 2*r - 5*r. Let j(x) = 10*x - 4. Let k = 35 + -14. Let m(y) = 42 - k + 2*y - 22. Give q*m(h) - 3*j(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 75 = 3*t + 2*v - v, 5*t + 130 = -103*v + 105*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = -3. Sort c, 5, -3 in descending order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 + (-6 - 10 - (8 + -11)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1929 - -1932. What is the closest to -0.2 in 5, c, -2\/25, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2686 - 2404 = -5*y. List the prime factors of y.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = 4*k - 15*z - 12, k + z - 11 = 0. Let j(i) = -2*i**3 - 8*i**2 - 20*i**2 + i**3 - 3*i + 29*i**2 - 1 - k*i**2. Calculate j(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + -2 + 4 - -3. Let o = 4 + j. Solve -h = 1 + 3, -5*v + o*h + 35 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*b - 18 + 18 + (-3 + 3 + 2*b)*(-3 + 4 + 1) + 0*b + 3*b + 0*b + 15 - 6 - 6 + 4*b - 28 - 5*b + 28.\nAnswer: 18*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let q(f) = f**3 + 23*f**2 + 40*f - 35. Calculate the remainder when q(-21) is divided by -2 + 2 - s*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-16))\/(4\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 4*d + 1. Let h be u(-4). Solve -4*c + h = l - 4, -3*l + c = -15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193734 is divided by 48389?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4. Let p(v) = 1. Let t(h) = -2*p(h) + x(h). Let j(l) be the first derivative of -5*l + 1\/2*l**2 + 8. Determine 2*j(b) + 5*t(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 2 d when four letters picked without replacement from whcfhddtcddddtddt?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -482 - -483. Which is the closest to -2? (a) k (b) -1\/9 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9089210629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 3*h**2 + 6*h - 4. Let m be a(-5). Solve 3*j + m = -2*i - 0*i, -4*i - 18 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 3*s + 5. Let b be r(-2). Suppose -b*p - 2 = -4*x, -6*x + 2*x + 18 = 5*p. Suppose x*y - 4298 = -5*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39243625*12.\nAnswer: 4.709235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 12243.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 145*a**2 + 2005*a + 164. What is j(-14)?\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 22*r + 192. Let q be o(-9). Let v = q - -482. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*-6*(-4 + (-4 + (sqrt(242) - (0 + sqrt(242))) + sqrt(242))*-4))**2.\nAnswer: -40128*sqrt(2) + 145168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/9 - 6508*n**4\/9 + 1270756*n**3\/9 - 8910048*n**2 + 182206206*n + 191258172 = 0. Calculate n.\nAnswer: -3442, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.5 (c) -2 (d) -5 (e) 2\/137\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {r: 2, e: 17}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1548 and 1245627.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 1912. Suppose -3*z = o + b, -2*o - 2*o - 4*z = 1928. What are the prime factors of o\/(-28) + (-4)\/14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53490?\nAnswer: 2, 3, 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 16) + -1 - (4 - -1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.309469 and -1?\nAnswer: 17.309469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46019, 92042, 138065?\n\"Answer: 46023*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10400 and 17271904.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -60\/7*p**6 - 24\/7*p**3 + 0 - 82\/7*p**5 - 25\/14*p**7 - 58\/7*p**4 + 625\/784*p**8 - 2*p + 4*p**2. Solve m(f) = 0 for f.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53132397 to the nearest integer?\nAnswer: 7289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-24)\/18)\/(-4))\/(1\/3). Let t(f) be the first derivative of 2*f**4 + f**2\/2 - f - 3. What is t(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -2 (c) 1\/6 (d) -10 (e) 70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/144 and -43\/320.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28308 is divided by 7075.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**3 - 9*c**2 + 181*c + 4. Let p(w) = 17*w**3 - 25*w**2 + 543*w + 11. Give 11*m(g) - 4*p(g).\nAnswer: 9*g**3 + g**2 - 181*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/7)\/s)**(34\/3))**(1\/33)\/((s**4\/(s\/s**(2\/7)))\/(s\/(s*s\/(s\/s**(-4)))*s*s\/(s**(-2\/7)*s))) assuming s is positive.\nAnswer: s**(394\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:50 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 786845389 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.132728 centimeters in meters?\nAnswer: 0.09132728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6879872*y. Let g(q) = 6*q. Give g(n(i)).\nAnswer: 41279232*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108924*p**2 + 3*p**4 - 999*p**3 - 2*p**4 + 115070*p**2 wrt p.\nAnswer: 24*p - 5994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*l + 29 = -w, 5*l = -5*w - 50. Let d = 32 + -34. Let n be (-4)\/d*(-1 - 4). Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 66373?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8772350 and 21100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*g - 32*g - 18, -4*g - 369562 = -26*t. Is 74 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 75*n**3 + n**2 - n. Let d be z(-1). Let o(u) = 10*u**3 - 3*u**2 + 3*u - 2. Let h be o(2). Let a = h + d. Let i(c) = -3*c**3. Give i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v + 4*v)*(1334*v - 189*v - 365*v + 2*v**2 + 1447*v) as k*v**2 + w*v + u + d*v**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + 3*g**2 + 459 - 449 in the form w*g + y*g**2 + q and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28*72\/(-2016))\/(-9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35993785?\nAnswer: 5, 29, 37, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*c**2*d**2*p + c**2*d**2 + 89445*c**2*d*p - 157*c**2 - 2*c*d**2 + 865*c*d + 1 wrt p.\nAnswer: 5*c**2*d**2 + 89445*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10) - 10\/(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*1\/(-12)*-24. Suppose -8 = 4*s, b*z + 5*s = 13*z + 8840. Is 59 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, 8, -1\/6, 1\/20, 5?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -369 + 374. Put 0, -21, j, 2 in increasing order.\nAnswer: -21, 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.7 + 4. Let w(i) = i**3 + 2*i**2 - 3*i - 4. Let f be w(-3). Let z be (-2)\/f*0\/2. Which is the nearest to z? (a) -1 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 105206?\nAnswer: 105234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 7*b**2 - 6*b + 12. Let f be z(-7). Let u be 3\/12 + f\/8. Differentiate -u*l**2 + 1 - 5*l**3 + 14*l**2 - 7*l**2 wrt l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 18*j = 528. Let y be (((-6)\/4)\/(-1))\/((-4)\/j). Is y bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**2\/2 - 7. Let n(x) be the third derivative of 23\/60*x**5 + 0*x + 0*x**3 + 0 + 13*x**2 + 0*x**4. Calculate z(n(y)).\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:19 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*h + 26, -h - 5*p + 11 = -4*h. Suppose 355 = o - 2*k - 443, h*o = k + 2409. Suppose 3*r - 327 = o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*k**4\/5 + 306*k**3\/5 + 1736*k**2 - 239904*k\/5 - 43904\/5 = 0. What is k?\nAnswer: -28, -2\/11, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -4 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103020 (base 5) to base 11\nAnswer: 2701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 - 87*m**4 - 2220*m**3 - 6576*m**2 + 36480*m - 27600 = 0.\nAnswer: -10, 1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -116.70865 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141 + -127 + -10 + (8 - (-2 - -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 4. Suppose 4*c = 0, -5*y + 0*y - 2*c = -15. Let g be -1 + w\/(y + -1). Is g >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/3 (b) 25\/918 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4108798, 4108801, 4108804, 4108807, 4108810, 4108813?\nAnswer: 4108816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 866615254 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1249*q - 6. Suppose 5*v = v + 12. Suppose -5*p + 2*p - y = 21, 2*p - 3*y + v = 0. Let b be s(p). Round b to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 188206 = 126*s - 523862. What is the remainder when s is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 256*n**3 + 222*n**3 + 6.\nAnswer: 478*n**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 1)*(0 - k + 0)*(-320*k + 660*k - 1768*k).\nAnswer: -1428*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 76\/(-114) - -3*(-9481192)\/36. Round i to the nearest 10000.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(-5\/2)\/(((c\/(c**(-5)\/c*c))\/c*c)\/(c\/(c\/(c*c**6))))*(c**9\/c*c**(-1\/8))**(-6\/29) assuming c is positive.\nAnswer: c**(-189\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/195)\/(7\/1470).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g + 18 = 18*g. Let x be (-54)\/(-6) + 7 + g. Solve 2 + x = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 26. Suppose 2*f - f - j = 0. Suppose f*d + 0*d + n - 16 = 0, -5*n + 16 = 4*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 - g**2 - g. Is s(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 19*u + 2. Let y(v) = v**2 + 8*v - 8. Let p(d) = -1. Let a(n) = 4*p(n) - y(n). Calculate the remainder when g(3) is divided by a(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16046, -32026, -48006, -63986, -79966?\nAnswer: -95946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11404 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*l + 25220, -4*l - 4957 = 4*x - 38541. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.1 in 73188, 2\/7, -0.3, -1\/5, -0.1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/9 - 391034*m**2\/9 + 1564160*m\/9 - 1564168\/9 = 0. What is m?\nAnswer: -195521, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 3*k**2 + 1. Let c be j(2). Solve p = -c*b - p + 11, 5*b - 5*p + 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(8\/(-16)) + (-13)\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((4\/(-8))\/(1 + -3)). Suppose 70 - 15 = 5*u - 5*y, o*u + 2*y = 38. Calculate the remainder when 12 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 1. Let i(b) = 4*b**2 - 5. Suppose 9 = 3*y - 2*c, 0 = 5*y - 3*y - 3*c - 11. Let t be y*(1 - -3)\/(-4). Calculate t*i(q) + 5*j(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23316 - 62*i - 23316.\nAnswer: -62*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -816, -1525, -2228, -2919, -3592, -4241, -4860, -5443?\nAnswer: -5984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-60))\/((32\/50)\/(68\/85)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 12. Let x = 1\/4 - -1\/12. What is the smallest value in -4, x, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**5\/40 - l**4\/24 + l**3\/6 + 14*l. Factor j(a).\nAnswer: -a*(a - 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120012022 - 2011?\nAnswer: -120021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmbmbmmbbmgagbm. Give prob of picking 1 a and 1 b.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/4 or -1093\/490?\nAnswer: -1093\/490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + h - 1. Let k(x) = -14*x**2 + 476*x + 6. What is 6*f(v) + k(v)?\nAnswer: -2*v**2 + 482*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1731475*a**3*g - 49*a**3 - 101*a*g + 269*a - 1148 wrt g.\nAnswer: -1731475*a**3 - 101*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -39 - (13 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2451 divided by -57?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -609 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.114 - -28.11399965912. Round u to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2\/11, 9, -0.5, -3\/173 in descending order.\nAnswer: 9, 2\/11, -3\/173, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/37 or -1?\nAnswer: -22\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-10)*0\/3. Solve -5*l + 4*i + 2 = 0, k*l - 3*i = l + 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4692*c. Let h(z) = -2*z**2. What is h(v(m))?\nAnswer: -44029728*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4212, -8419, -12626?\n\"Answer: -4207*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5611 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-210)\/175*(-1)\/(59\/5). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/357 and -23\/4029.\nAnswer: 28203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Suppose 22*j + 550 = 47*j. Suppose 3*n + u - 12 = 0, u + j = 4*n - 1. Solve a = -3*l + n*t - 20 + 2, 3*l = -4*t + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11939*k**4 + k**3 - 334707.\nAnswer: 47756*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12002011 (base 4) in base 10?\nAnswer: -24709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-14) + (-612)\/(-2142)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 271527892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-12)\/(-8) - 2). Suppose -3*o + 13 - y = 0. Suppose 92 = o*n - 43. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by (4 - 6) + 24 + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 e when three letters picked without replacement from qqeeqeleeqlqelele?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpbp. Give prob of sequence bp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5297\/3014 - 27\/137. Find the common denominator of y and 23\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 2301*o.\nAnswer: o*(o + 4602)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 33. Let l be (2 - 2)*(-2)\/(-4). Let z be c(l). Suppose -6*j = -5*j - 22. What is the highest common divisor of z and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*2025282.\nAnswer: 607584.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24\/13 - 1981\/1066. Calculate the common denominator of 17\/8 and s.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30139844*c**3*z**2 - 3*c**3*z + c**2 - 27823*c*z - z wrt z.\nAnswer: 60279688*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-474)*(-3234)\/7546?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = -4064 + 1244. Let l = -136 - s. Solve l*j + 1 = -n, 1 = -5*j + n + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292270551 is divided by 33010?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67714 rounded to 4 decimal places?\nAnswer: 0.6771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/14)*u*u**3)**(-5\/2))**(-22) assuming u is positive.\nAnswer: u**(3905\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by -57.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -8*i + 12*i - 1170. Solve -141*j = -128*j - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*v - 90*v - 6*v**2 to the form d + z*v + y*v**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 7:49 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5506.9 - 5507. What is the fourth smallest value in 5, 2\/13, -5, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4400)\/(-20))\/44*1*(-2)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - ((-1 - -2) + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 427*m**3 - 4697608474 + 4697608474.\nAnswer: -427*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-12) - ((-945)\/54 - -19). What is the nearest to -7.1 in 0.4, k, -0.1, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 20*t**2 + 834*t - 8844. Determine c(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a + 3. Let q(l) = 3*l**2 + 3*l + 7. Let t(g) = -5*f(g) + 2*q(g). Let i = 8803 + -8813. Let h(p) = -5*p + 5. Determine i*t(w) - 2*h(w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggngnggggnggng. What is prob of picking 2 g?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0472 + 5.7472. Let d = 5 - n. What is the nearest to 0.1 in d, -3, 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 - 143. Let p = -0.5 - 0.5. Let q = p - 4. Sort q, 1\/5, c.\nAnswer: q, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67203 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250453 by 33.\nAnswer: 250453\/33","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d5 + 7d21?\nAnswer: 7df6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(836\/855) + -13.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -x - 3*g, g + 9 = 2*x. Suppose -4*u + 8 = 0, -2*u = -x*j + u + 146. Let y = 27 + 68. What is the highest common divisor of j and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 26*y - 528. Calculate o(36).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*r + 7 - 4, 3*c + 4*r = 0. Solve c*m - 1 = f, -m + 3*f + 4 = 4*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010010010001 - 101?\nAnswer: 1101010010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 17826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a + 11*a - 17 = 5*p - 11*a, 242*p + 4*a - 20 = 238*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -208025 bigger than -208026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4374799\/3227 + 370\/3227. Let i = 3879 - 2519. Let l = a + i. Find the common denominator of l and 29\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 15. Let x be d(13). Let j(o) = o**2 + 23*o + 124. Let p be j(-8). Put p, -2, x in ascending order.\nAnswer: x, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*s - 34*s + 64*s - 32*s + 36*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**3\/3 + w. Let h(c) = 7*c**2. Give v(h(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2096959, 8387846, 18872659, 33551398, 52424063?\n\"Answer: 2096963*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011101 - -1210202?\nAnswer: -10100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 2*z**2 + 4*z + 3172. Let b be q(0). Let s = b - 1099. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 14\/5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.82 - -0.82. Which is the biggest value? (a) h (b) -1\/6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.26 and -123.\nAnswer: -1876.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 2, -1 in descending order.\nAnswer: 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -5.7. Let j = 12 + u. Suppose -2*n - 3 = 3*r, 5*r - n + 18 = -0*n. Which is the second biggest value? (a) r (b) j (c) 0 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = -54 + 8. What is the tens digit of 4170\/o*2\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4405420 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 tens digit of 107743192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 10 in descending order.\nAnswer: 10, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*i + 10 = -6*i, 5*z + 3*i = 26. Find the common denominator of 81\/4 and 226*7\/140 + 2\/z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -2*x**5\/15 - 13*x**4\/12 + 8*x**3\/9 + 7*x**2\/6 + 160. Factor q(u).\nAnswer: -u*(u - 1)*(u + 7)*(2*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:49 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let b(q) = 3*q + 2. Let g(v) = 16*v - 510. Let p(a) = -5*b(a) + g(a). Give p(z(c)).\nAnswer: 2*c - 520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.6 + 6. Let y = 103 - 211. Let i = y + 110. Sort i, 5, g in descending order.\nAnswer: 5, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913, 3483, 7773, 13795, 21561, 31083?\nAnswer: 42373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1794 divide 85323566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2201 - 14819 = -6*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -741.94 to the nearest 10.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2592\/189)\/(-24) + 17\/42. Let h = -2 + 0. Let a = -226 - -226.01. Sort v, a, 1, h in decreasing order.\nAnswer: 1, a, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from dqehwqqwwwqqdhwdq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = 4*i, -4*i - 972 = -5*n. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-12)\/(-48)) - -3. What is the closest to y in -192\/11, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/3201120 and 5\/216.\nAnswer: 3201120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-1\/6)*r)\/r**(-1\/6))\/(r\/(r**(-3\/8)*r))**(21\/4) assuming r is positive.\nAnswer: r**(131\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/28)\/(-2 + 6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, -12, -58, -142, -276?\n\"Answer: -2*g**3 - g**2 - 3*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 4*o. Suppose o*x + 3*x = 0, 3*x + 2284 = 2*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q**3 - q**2 - q - 9. Let b(h) = 5*h**3 + h**2 + h + 5. Let k = -264 + 267. Let j be (-20)\/6*(-6)\/4. Let g(c) = j*b(c) + k*d(c). Factor g(t).\nAnswer: -2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s - 1)*((0 + 2 + 0)*(-3 + 2 - 1) + (-4 + 1 + 4)*(2 + 2 - 2) + 1 + 1 - 5).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 56*u - 55*u + 64, -4*f - 3*u - 107 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 0. Let r be 57\/21 + d\/(-7). Solve 5*b = 6*b + r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**3\/21 - 45*u**2\/14 - 86*u\/7 - 48. Factor d(i).\nAnswer: -(i + 2)*(i + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30000 and 2544?\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206055, -206051, -206043, -206031, -206015, -205995?\nAnswer: -205971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y + 2. Let t(c) = -11*c - 1. What is 4*t(b) + 3*x(b)?\nAnswer: -11*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 24. Let z be f(-7). Let b be 7\/28 - (10\/8 - 1). What is the tens digit of ((-3 - b) + -24)*z\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30d3 + 61?\nAnswer: 3154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*(-4)\/8*-1. Suppose -37*n + 33*n = -5*z - 11, z + 1 = 2*n. Sort x, 2, n, 3 in descending order.\nAnswer: 3, 2, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 50. Let d = 10 - v. Sort 3\/5, 1, d in descending order.\nAnswer: 1, 3\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -107, -100, -91, -80?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 221*k - 2726. Determine n(12).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*k - 9 = -9*x + 2, -9 = -3*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147*a**4*r**3 + 2*a**4*r**2 - 10*r**3 - 4 wrt a.\nAnswer: -588*a**3*r**3 + 8*a**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**2\/2 + 4*x + 2. Let t be n(4). What is the units digit of (-6)\/t - (-54)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4488 and 0.83.\nAnswer: 3725.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from ddtdddgdtgx.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 726 - 1010 = 0. Let v = h - 199. Calculate the highest common factor of 98 and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-1 - (-9 + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/3, -0.05508, 4\/7 in decreasing order.\nAnswer: 32\/3, 4\/7, -0.05508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 8 + 6. Suppose 3 = q*s - 11. What is the first derivative of 4*d**4 - s + 7 - 2*d**4 - 14 wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372466*i**3 - 110087*i?\nAnswer: 2234796*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q - 8. Let o(y) be the first derivative of y**3\/3 - y**2 - 3*y - 4. Let c be o(3). Determine n(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2321437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnhrrhr. What is prob of picking 2 r and 1 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -826, -1532, -1158, 836, 4990?\nAnswer: 11844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -7*g + 16. Let h = -4 - g. Is 4 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127435 or 127725?\nAnswer: 127435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2372 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 40, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/12*((-105)\/(-25) - 3). Factor 6\/5*a - 2\/5 - 6\/5*a**2 + i*a**3.\nAnswer: 2*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 1. Let d(q) = -18*q + 3. What is -6*d(k) + 11*l(k)?\nAnswer: 42*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**3 - 26*h**2 - 14*h + 7. What is the units digit of r(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6)*(3454\/(-6) - 7). Suppose 5*z - 3*z + 3792 = 2*y, 3*y + 1916 = -z. Let g = q - z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86823335?\nAnswer: 5, 17, 47, 103, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/(-35))\/((-1)\/(-260)). Let m = -299 + n. Calculate the greatest common divisor of 117 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/8 - 25827*u - 27049535\/8 = 0. Calculate u.\nAnswer: -206485, -131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10a1a8 - -13?\nAnswer: -10a195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 2. Let t = -155 - -176. What is the remainder when f(t) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239269006 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21011002100011 (base 3) in base 12?\nAnswer: -1333464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113032131131 + 11?\nAnswer: -1113032131120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4 + 2*v + 0 + 0 + 2*v. Let m be g(3). Suppose -2*y = 2*y - m. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244739 and 7524?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 4*f - f + (1 + 2 - 6)*(0*f + 5*f - 4*f) - 2*f + 3*f - 18*f.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*2*sqrt(605) + sqrt(605) + sqrt(605) - sqrt(605)) - ((sqrt(605) + sqrt(605) + 0)*-3 + (sqrt(605) - -5*(-1 + sqrt(605)))))**2.\nAnswer: -330*sqrt(5) + 5470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m. Let n(a) be the first derivative of 31*a**2\/2 - 249. What is o(n(q))?\nAnswer: -155*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 7*d - 6. Let p be u(25). Suppose o - p = -129. What are the prime factors of o?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64014\/5 - -12802. Is k at least as big as -1027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t. Let h(b) = 2*b**2 - 6*b - 15. Let y(v) = f(v) - h(v). Let a be y(9). Let c be (a - (-18)\/4)*(-12)\/(-9). Solve s + s - c = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5019914 to the power of 1\/2, to the nearest integer?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 506689 or 506641?\nAnswer: 506689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, 0.0593, 2\/5, 0.3, 7, -32?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.3 + -8. What is the fourth smallest value in -1\/9, -1\/3, -3.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1413 + 2887. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2701, 2764, 2829, 2896?\n\"Answer: j**2 + 60*j + 2640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 8. Suppose o = -2*x + 5. Is (-1)\/(x\/((-48)\/3)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 + 107*z - 2539. Determine t(16).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 - (-2)\/8. Suppose -3*o + 7 + 5 = 0. Factor 0*a**2 + 1\/3*a**5 + 1\/3*a**3 + 0*a + 2\/3*a**o + l.\nAnswer: a**3*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/5))**(-6)*t*t\/(t*(t**9\/t)\/t)*t**23)**(-21) assuming t is positive.\nAnswer: t**(-1533\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -50*w**2 - 2719*w - 32159. Calculate b(-37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926\/59 bigger than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (21 - ((-16)\/(-4) + -2)). Let i - 2*l - 3*l**3 - 6*l**2 - 19 - 2*l**4 - 3*l**3 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 times -203876?\nAnswer: 68706212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 2*u**2 + 2*u - 3*u. Let s(h) be the second derivative of -2*h + 0 - 1\/2*h**3 + 0*h**2. Determine r(s(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3 + 12. Suppose u*j - 2*j = 84. Suppose 0 = -g + 803 + j. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -1.97\nAnswer: 0.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.00001.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58\/351 + 4\/351. Which is bigger: 0.5 or u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2))**35\/((d**(4\/5)*d)\/(d**(-3)*d)))**(2\/39) assuming d is positive.\nAnswer: d**(-71\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*r = 2*r - 28, -5*r + 10 = 0. Let t be 10*((-4)\/(-75))\/(102\/(-85)). Which is the biggest value? (a) w (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 18236492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12236*a**5*h - 17175*a*h wrt a?\nAnswer: 244720*a**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948613227 to the nearest integer?\nAnswer: 30800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 36695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19663 - 5139. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703122 is divided by 175762.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 - 7*o - 1. Let n = 8 + -6. Let s be n*(-3)\/(-4)*4. Let t(g) be the second derivative of -g**4\/6 - g**3 - g**2\/2 - 6*g. Give s*z(p) - 7*t(p).\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1161293 and 60\/1868167?\nAnswer: 42967841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786195351 a multiple of 3721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 81*y**2 + 98*y - 409. Is n(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/47? (a) 4 (b) -2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.5 - 2.5. Let o = i - 22. Which is the nearest to o? (a) -1 (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6336 is divided by 90.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 20 - 4*n**3 - 22)*(4 - 2 + 2) + (-1 + 3*n**2 + 1)*(-n + n + 3*n).\nAnswer: n**3 - 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-10) + 702\/(-102)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 9*p**5\/20 + 35*p**4\/4 + 21*p**3\/2 - 33*p**2\/2 + 62*p. Solve u(t) = 0 for t.\nAnswer: -11, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.25 - 11.75. Let j = -0.16 + 0.76. Let z = 4.6 - j. Which is the third biggest value? (a) z (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + (sqrt(637) + 0)**2 + sqrt(637))*5 + (-4 + sqrt(637)*1 + sqrt(637))**2 + (-3 + 4*(sqrt(637)*-2 - sqrt(637)))**2)*-3.\nAnswer: -292458 - 1386*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -933*n**4 + 18*n**3 - 18*n**2 + 15*n - 1791. Let v(z) = z**4 - z**3 + z**2 - z - 1. Let t(s) = j(s) + 18*v(s). Differentiate t(o) wrt o.\nAnswer: -3660*o**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/16 and -49\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -1362\/228563 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 2:37 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(((d\/d**(2\/5))\/d)\/d)\/d*d*d\/(d*d**(1\/5)))\/(d**(-3\/5)*d**(2\/5)) assuming d is positive.\nAnswer: d**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -10*s**3 - 7*s**2 - s + 10. Let a be w(-5). Which is smaller: 1089 or a?\nAnswer: 1089","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**12*j)\/j*j)\/(j\/(j*j**(9\/7))))\/(j**(-6)\/(j\/(j\/j**(3\/16)))) assuming j is positive.\nAnswer: j**(-171\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125088617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 0.2 (b) 1\/209 (c) -2 (d) 1.3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**8\/48 + z**5\/10 + z**2 + 5. Let b(o) be the second derivative of w(o). Find the third derivative of b(n) wrt n.\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*b + 53*b + 5475 = 0. Suppose -b - 247 = -v. What is the remainder when v is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/(-10) - 6*14\/21. Let k(z) be the first derivative of 0*z**2 - 11\/3*z**3 - 12 + 0*z + m*z**5 + 0*z**4. Find the third derivative of k(g) wrt g.\nAnswer: 384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1, 0 = -o + 3*p + 3 + 3. Let z be 1\/(o*4\/(-8)). Which is the second smallest value? (a) z (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 19*k + 121. Determine s(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 5*y**2 - 1. Suppose 43 + 47 = 6*g. Suppose 0 = 2*n + n - g. Give h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2867085?\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/6859?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 116 = 2*z - 376. Which is greater: z or 101\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -3. Let l = -0.56 - 0.14. Let z = l - -0.6. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 1 - 3. Suppose -5*y + 4*a - 8 = -0*a, 2*a - 4 = 5*y. Suppose y*c - 10 = -2*c. Solve c = -r*g + g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 3, t: 1, h: 3, b: 6}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44596.\nAnswer: 2, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/15*(-1 + 6). Let f(j) = j + 1 - 3*j - 5*j**2 + 0*j**m. Give f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/18 and -61\/35619.\nAnswer: 213714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -5, 0.2, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-128)\/(-20) + (-2)\/5. Suppose -3*p = -p - t. Suppose -4*r + p*r + 21 = 2*k, 4*k - 5*r = 49. What is the greatest common divisor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 105\/(-2)*(-24)\/9. Suppose 14*m - 11*m - 84 = 0. Calculate the greatest common factor of m and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(180)*-2 + sqrt(45) - (sqrt(360) + sqrt(360)*-1)\/sqrt(8))\/(sqrt(441) - (sqrt(441) + sqrt(441)*3)*1)).\nAnswer: 4*sqrt(5)\/7 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5113*q - 4233. What are the prime factors of c(18)?\nAnswer: 3, 7, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -35, -42, -51, -62, -75, -90?\n\"Answer: -k**2 - 2*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Let g be (1 - 6)*(-6)\/10. Let t be r(g). Let o be -1 - 13800002\/((-4)\/t). Round o to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 12:16 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-2)\/7)\/(9\/(126\/8)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d - 3*d**3 - d - 9*d. Calculate n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8055 divided by -9\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2268, -41 in ascending order.\nAnswer: -41, 12, 2268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.62 - -0.38. Let y be 27\/5 + (-6)\/15. Let u be (-1)\/y - 26\/(-5). Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 87 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 98 - 1502. Let p = -7051\/5 - j. Which is greater: p or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from {p: 3, m: 7, w: 2}?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -3.8. Let x = -2.1405425 + -0.85945734. Let q = f + x. Round q to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.129, 11, -2, -267, -0.1, 1\/2?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 17*n**3 - 10*n**2 + 42*n + 19. Is p(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*3\/5 - (-13 + -1). Suppose 0 = 2*d, -2*f - g + 47 = 3*d. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11086461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 5*s + 7. Determine b(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 64581352338.\nAnswer: 64581352340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9854, 39413, 88668, 157613, 246242, 354549?\n\"Answer: -g**3 + 9854*g**2 + 4*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 73.3922nm?\nAnswer: 0.0000000000733922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 3 = -10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12*-106*13154\/(-19731).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*10\/(50\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(110)*-2)\/sqrt(10).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 21*i**2 - 13*i - 13. Let m(l) = -7*l**2 + 4*l + 4. Let u(a) = -7*m(a) - 2*y(a). Calculate the least common multiple of 11 and u(-1).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3) + (2 - 3). Suppose a - 3*a - 2*i + 14 = 0, 14 = j*a - i. What is the tens digit of (-14)\/(-2) - (4 - a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 37. Let v = 151 - 126. What is the remainder when v is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-19)\/(-1596)*(-1)\/2.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 13. Suppose 162 = -12*p + 6*p. Let s = 30 + p. Let g(b) = -6. Let t(z) = s*q(z) + 7*g(z). Determine t(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8510237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 1434*a + 4329.\nAnswer: -3*(a - 3)*(a + 481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34767, -71327, -107887, -144447?\nAnswer: -181007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22920 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72, -80, -106, -162, -260, -412, -630?\n\"Answer: -2*g**3 + 3*g**2 - 3*g - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 145, 342, 659, 1096, 1653, 2330?\n\"Answer: 60*z**2 + 17*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rylyqyk. Give prob of sequence kq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 30*o - 33*o = -3, p = 2*o - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**2))**(-8\/11))**44\/((b\/(b\/((b**(1\/2)\/b*b*b)\/b)))**(-29)\/(b**(-1))**0) assuming b is positive.\nAnswer: b**(157\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*q + 4*w, -q - 21*w + 17*w = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60097 (base 12) to base 4.\nAnswer: 132121303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16) + -103*(-9345)\/778680.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192947 and 1?\nAnswer: 192947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.74 smaller than -1424361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**3\/3 - 22*c. Give f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129057 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i - 87*i - 34*i - 7*i to the form q*i + n and give q.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) -4 (c) 1\/10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -73 and 0.0168879?\nAnswer: -1.2328167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3946 by -3946.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 4*z + 94, z + 1583 = w + 1537 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 3*d - 10, 10 = -3*d + d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 - 103. What is the second smallest value in g, 3.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 4)*(-5)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1, 2\/5, -163, -3\/16, -3, -2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - t**2 + 2*t + 6*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**5\/5 - 20*p**4\/3 + 34*p**3\/3 + 76*p**2 + 3539*p. Factor u(m).\nAnswer: 4*(m - 19)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (13 - (-9 + 13) - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - h - 15. Let n be s(7). Let o = n - 15. Let i = 209 + -189. Calculate the least common multiple of i and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 141, 175, 231, 315?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20214540220 - -1?\nAnswer: 20214540221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1882 and -6\/941.\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n = 25. Let r be (-13)\/n + 5 + -8. Which is greater: 7\/3 or r?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/264576 and 11\/388596?\nAnswer: 12435072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 + 5*u - 2. Give x(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8876579 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*o - 23, -2 = -2*z - 4. Suppose 2*a - 2*y - 3*y = 2, -o*a + 2*y = -5. Let l = 1 + a. What is the second biggest value in l, -2, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79, 134, 193, 256, 323, 394, 469?\n\"Answer: 2*c**2 + 49*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3047425798 and 13.\nAnswer: -3047425785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -5.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6663 - -6681. Let j be (1\/(-2))\/(2\/(-8)). Suppose o - 8 = j*w. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8633 is divided by 556?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/95, -5, -235?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 - -401\/2. Is w greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -24. Let o(r) = 4*r**2 - 8*r + 4. Let z be 3\/(-2 + -1)*-7. Let v be o(z). What is the highest common divisor of v and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j - 3*j + 2*j - 6*j + 6. Let y be q(2). Suppose 0 = -y*o, -5*h - 2*o + 28 = -32. Calculate the remainder when 45 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 426\/29?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (101 - 101 + 9*l)*(1 - 6 - 2) + 3 - 4*l - 3 as v + g*l and give g.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Let v be m*(30\/9 - 0). Suppose 0 = 3*d - 5 - v. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z - 14. Calculate p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 416793 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -322*i**3 - 4*i**2 + 7*i + 328 wrt i.\nAnswer: -1932*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**5 + 1827*k**4\/4 - 26293*k**3\/2 + 89799*k**2 - 124411*k\/2 - 59631\/4 = 0.\nAnswer: -139, -3\/16, 1, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/3 - 95*t**2\/3 + 2303*t\/3 - 2209\/3 = 0.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (440 - (-20)\/(-5)). Let h be (-2)\/(-6)*((-135)\/p)\/3. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1747*x + 113*x**2 - 1 + 1747*x)*(3*x - 4*x - 3*x) in the form q*x**2 + y + o*x**3 + c*x and give o.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904320 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 14*w**2 + 14*w - 15. Let r be f(-15). Is r at least as big as 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:49 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -132, -115, -80, -21, 68, 193?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35531 + -1026?\nAnswer: 34502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.2. Let j = 0 + s. Let x = 248\/15 - 82\/5. What is the biggest value in j, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 35 = -23*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32168, 64337, 96506, 128675?\n\"Answer: 32169*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 158?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 14 + -20 - -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g**2 - g. Let c be m(1). Let f be (0 - -1)*(-3)\/c. Suppose 37 = 5*d - f*a + 5*a, 0 = -3*d + 5*a + 16. Which is smaller: 6 or d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvkvvkvvvjvvv. Give prob of sequence vvk.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28461 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g + 1. Let x be w(-3). Let y(r) = -5*r + 39. Let n be y(0). Calculate the greatest common factor of x and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0*x - 3*x)*(1 - 4 - 1)*(-52 + 22 - 29)*(-4 + 23 + 9) to the form w*x + o and give w.\nAnswer: -13216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65793\/2 - -32896. What is the third biggest value in 7.1, -11, -0.2, 0.4, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7760330437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/40 - (-9)\/(-15). Let t = 0.06 - 0.46. What is the closest to k in -0.3, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1187400 to the nearest 10000.\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/37912 and -19\/265384.\nAnswer: 265384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-4\/3))\/(p*p\/p**16))**(-2\/47) assuming p is positive.\nAnswer: p**(-88\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -3, 5, -2, -21 in ascending order.\nAnswer: -21, -5, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 0.044278.\nAnswer: 0.00044278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1010000?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 227693.147 and 0.3.\nAnswer: 68307.9441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from srsu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8592544.8 microseconds?\nAnswer: 0.00001420725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 644 + 414. Let z = i + -299. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 5*b - 10. Let r be t(7). Suppose 41 = 4*p - 3*y - 1, 0 = -p + r*y + 17. What is the remainder when 17 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 11*a + 13. Let g be d(11). Suppose g + 14 = 3*c. Solve -2*w + i - c = 0, -5*w = -2*i + 1 + 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*6240\/22360?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*u - q + 101, -45 = -u - 2*q. Let n be u - ((-2)\/(-1))\/2. What is the highest common factor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 46*f**2 + 3*f - 4. Let k be l(1). Suppose -3*g + 2*y + k = -31, -2*g + 4*y + 48 = 0. Solve 0 = -5*s + g - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95733176 and 1129898?\nAnswer: 1053064936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 56*l + 55*l - 190 = 0, 4*v - 285 = -5*l. Let x be (-8)\/(1 - (-1)\/(-2)). Let s = 10 - x. Calculate the greatest common factor of s and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -45. What is the highest common factor of f and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16924602*a**5*p**3 - a**3*p**3 + 6*a**2*p**2 + 175452*a + 2*p**3 + 21 wrt a?\nAnswer: -1015476120*a**2*p**3 - 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*v - 113220. Suppose -7*j + v = -13330. Round j to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 - 3*k**4 - 13*k**3 + 11*k**2 + 24*k - 20.\nAnswer: (k - 5)*(k - 1)**2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216158839.\nAnswer: 13, 19, 89, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r*r)**(-42)\/(r**4*r\/(r\/(r\/(r*(r\/r**(-16)*r)\/r)))))**(-6\/37) assuming r is positive.\nAnswer: r**(1182\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256732.8 months to years.\nAnswer: 21394.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times -634\nAnswer: 101.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11470138 by 674714.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**2*h)\/(h\/(h**9*h)*h)*h*h**11*h\/(h*h**0)*h*h)**(-9) assuming h is positive.\nAnswer: h**(-243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(432) + sqrt(432) + 0 + -3*(sqrt(432) + 2) + sqrt(432) + sqrt(432))*-2)**2.\nAnswer: -960*sqrt(3) + 2128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 10*t - 1. What is c(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -19 (c) 5 (d) -12 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(2\/(-10)*2). Calculate the common denominator of (1 - (-1644)\/(-80)) + (-1)\/5 and (3\/4)\/(b\/295).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 53 + 3*r - 53 + 4*r**2 to b*r + k*r**2 + l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 19 = -1. Suppose -f = f - 12. What is the units digit of ((-4)\/f)\/(o\/(-81))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 3*q**4 - 4*q**4 + (2*q**2 + 2 - 2)*(-q + q + 2*q**2) - 1263*q**4 + 793*q - 793*q.\nAnswer: -1261*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 549593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110022011222 (base 3) to base 14.\nAnswer: 25d856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1861*d = -1957*d - 2112 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = -4*r. Suppose -q + r*q = 12. Calculate the remainder when 16 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 6:22 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3*n + 11. What is z(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118984084 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let t(n) = n - 12. Let a be t(8). Sort a, v, 5.\nAnswer: a, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 783*o - 41349. Determine v(53).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -4 - 2 - 6) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and 49\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88287743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000752099999 rounded to 7 dps?\nAnswer: 0.0000752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z + 2. Suppose 21*o = 6*o + 75. Let f(c) = -9*c + 4. Calculate o*g(w) - 2*f(w).\nAnswer: -7*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 21, -8, 8 in descending order.\nAnswer: 21, 8, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517721 is divided by 64715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*2 + -1 - (-2*sqrt(1216) + -3))*-5)**2 + -5 + ((-2 + sqrt(1216) + -5)**2 - (1 + (sqrt(1216)*-2 - sqrt(1216)))**2).\nAnswer: 3136*sqrt(19) + 476815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29090 - 196?\nAnswer: 289a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 87, 184, 281?\n\"Answer: 97*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 + 2 = 0. Suppose -f - 4 = 3*i, -3*i = 4*f - n*i - 17. Solve 3*b - 8 = f*j, -b - 4*b + 1 = 4*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3446, 3438, 3430, 3422?\nAnswer: 3414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.141 * -1908.\nAnswer: 158633.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54879 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3*u + 28 = 0, -357*h = -346*h - 2*u + 33 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -240143 (base 6) to base 4\nAnswer: -11010333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82901.88 millennia to decades.\nAnswer: 8290188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 3. Let b be x(9). Let i = b - 21. Sort 0, -11, i.\nAnswer: -11, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(512)))**2 + sqrt(512)*-2*4 - (3 + sqrt(512) + 0 + (-4*sqrt(512)*-2 - sqrt(512)))**2.\nAnswer: -24521 + 128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 30 = r. Let o be (-2)\/(1\/(r\/(-3))). Let g = o + -7. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -63. What are the prime factors of ((-9)\/3)\/(3\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - t**2 - t + 5. Let m(l) = 6505*l**4 - 2*l**3 - l - 896. Let w(n) = 2*m(n) - 4*q(n). What is the third derivative of w(c) wrt c?\nAnswer: 312240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39d4bb + 2?\nAnswer: 39d4bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from xxxxdxxd?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*n**5 + 21*n**5 - 10*n**5 + 42*n**2 wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 - -654?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*b*b\/(b*b**(13\/3))*b))*b)\/b*b)\/((b*b\/b**(20\/3))\/b))\/((b*(b*b**(-14))\/b)\/(b\/b**(-26)*b*b)) assuming b is positive.\nAnswer: b**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (-37 - (94 + -127))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n - 18*n + 2 + 17. What is the units digit of d(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, 1413, 7 in descending order.\nAnswer: 1413, 7, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 - 1016892*r + 12203280 = 0. Calculate r.\nAnswer: -254235, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 29 + 104 = 0. Suppose -4*w - z = -71. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.3. Let z = -62.2 - -62. What is the nearest to d in -0.1, -3, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1045 - 488. Let y = 1076 - r. Let o(s) = 19*s - y + 519. Let t(c) = 2*c**2. Give o(t(f)).\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10103 - 413042?\nAnswer: -423200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.714 - -3.109. Let w = -2.39499041 + a. Round w to seven decimal places.\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312432 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2429477.72378 + -2429498. Let v = -15.7221 + g. Let d = v + 36. What is d rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -117?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-8))\/((-1)\/60). Let x be (-4)\/14 - s\/7. Suppose 3*d + 18 = 4*o, 3*o + 12 = 2*d - x*d. Let k(n) = n + 7. Calculate k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 488710 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 3*w + 4. Let y(h) = h - 2. Let x be y(-1). What is b(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**35*v*v**(9\/8)*v**(-1)\/v*v**(3\/2) assuming v is positive.\nAnswer: v**(293\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8 = 2*b + 6, g = b - 5. Let z(p) be the second derivative of -p**3\/3 - 3*p**2 - p. Give z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u. Let a(n) = -9*n**2 + 16*n. Let p(j) = -4*j**2 - j. Let f(q) = -a(q) + 2*p(q). What is x(f(m))?\nAnswer: 3*m**2 - 54*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-9))\/(25\/6*24378\/7170).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*l**2 + 3 - 2 - 5*l**2)*(2 - 2 + 1 + (1 + 0 + 1)*(-2 - 2 + 6) + 1 - 1 + 1) in the form r + f*l**2 + m*l and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/11 (b) 0.05 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6242307330.\nAnswer: 2, 3, 5, 7, 29725273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -384*o + 394*o. Solve -3*d + 10 = b, -o*b - 5*d = -3*b - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435400.5 centimeters to micrometers.\nAnswer: 4354005000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 3 - 10*s + 0*s - 25. Let h be v(-4). Solve 0 = 5*g - g - h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -a + 3, -4*y + 2*y = 5*a + 1. Factor -4\/5*l**y + 3\/5*l + 1\/5.\nAnswer: -(l - 1)*(4*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0 + 12. Let f(l) = -l**3 + 3*l + q*l - 4*l**2 - 7 - 2*l. Give f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(468) - (-1 + sqrt(1053)))**2 + 3 + -5.\nAnswer: -6*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79913 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*q + 590*q - 122990 = 0 for q.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l + 3*l)*(1 - 4 - 10)*(7 - 16 + 18)*(-2*l**3 + 2*l**3 + 2*l**3).\nAnswer: -468*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5474 is divided by 688?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 5*q**2 - 8*q**2 + 26*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 793, 1591, 2391, 3193, 3997?\n\"Answer: h**2 + 795*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -16*v**3 + 15549*v**2 + 15543*v - 7. Give m(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133 + 174 + 231)*(2*i**2 - 3*i**2 - i**2) as o*i**2 + r + w*i and give o.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212 + 338. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10)*5 - -20. Calculate the highest common divisor of u and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28b (base 13) to base 4.\nAnswer: -13011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -399*r - 5740*r - 2905*r - 849*r to s*r + f and give s.\nAnswer: -9893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -3484826?\nAnswer: -3484831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -14, -3, -4, 4\/53, 2.\nAnswer: -14, -4, -3, -2\/9, 4\/53, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13)\/((-312)\/(-32)))\/4. Which is the third biggest value? (a) 16 (b) -5 (c) -1.5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-4 - -2)) + 14. Suppose x = 4*u + 16, -y = 2*u + u - x. What is the units digit of 33\/7 + u\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1749 + 947. Let v = l + 802.3. What is the fourth smallest value in -5, -1\/10, -3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 6*b**2 - 9*b - 4. Let l be z(2). Let d be (-2)\/(2 + (-8)\/3). Suppose 0 = d*s + 16 - 1. Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-72))\/((-8)\/(80\/(-115))). Sort -0.5, 0.3, v in decreasing order.\nAnswer: 0.3, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, 8, -5.\nAnswer: -10, -5, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 676 + 636, -2*k + 2*n + 24 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145294 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 152382 - 480*j - 152382 as c*j + b and give c.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.041 - 36.040964162. Round w to seven dps.\nAnswer: 0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3516 + 3533. Let q be (2 - -186) + 1 + -2. Calculate the highest common divisor of d and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 11776*w + 69337088.\nAnswer: (w - 11776)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-1 - 4\/(-5)). Let o = -31 - -29. Which is the biggest value? (a) o (b) g (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-5)*r)\/r**(2\/7))\/(r\/(r*r**(1\/2)*r))**(6\/17) assuming r is positive.\nAnswer: r**(-209\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4069632, 8139283, 12208934?\nAnswer: 16278585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16330)\/(-426))\/115*(-1)\/7.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322652 (base 7) to base 11.\nAnswer: 39288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188 and 46906?\nAnswer: 93812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from {u: 4, k: 4, o: 3, m: 4, a: 1, z: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 385*w + 41. Determine k(-1).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -12 - 5*z + 3*z**2 + 2\/3*z**3. Let y be d(-4). Which is smaller: y or 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 28*g**3 + 4*g**3 + 2*g**2 + 8*g**3 + 48.\nAnswer: -16*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8*h\/((h\/(h*h*h**(1\/8)*h*h*h))\/h)*h\/h**(-5\/3)*h**(1\/7) assuming h is positive.\nAnswer: h**(2845\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5641 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**5 + 3693*c**4 + 66669*c**3 - 128523*c**2 - 385839*c + 216486 = 0. What is c?\nAnswer: -19, -2, 1\/2, 3, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -44. Suppose 5*m = -3*t + c + 3, m - 4 = -t. Solve 0*l - 5*l + t*a = -5, -5*a = -3*l - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17619 - 6138. Let j = w + -344341\/30. What is the common denominator of -37\/6 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {q: 2, m: 5, h: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*o**2 + 384271*o + 85394.\nAnswer: -(o - 42697)*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -23. Suppose 0 = -5*m - 2 + l. Sort m, -5, -1, 0.\nAnswer: -5, -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2194 - -2190. Let b(h) = h**3 + 3*h**2 - 1. Calculate b(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 + 118*s**2 + 8554*s\/5 + 30282\/5.\nAnswer: -2*(s - 309)*(s + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 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: Find the second derivative of 4*v + 7*v + 17*v**2 + 4*v**2 - 12*v**2 wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/1995 - (-10752)\/(-68096).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 times -0.226?\nAnswer: 88.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113860 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-2*y**4 - 1 + 1)*(59 + 85 - 112).\nAnswer: 128*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 41, -2\/15, -0.4, -5, -3\/217, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 791782 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 163492.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7097 + 10440. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6489 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -89 in descending order.\nAnswer: 1, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + -8 + 7 + 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (45 - 55) + 0 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2165*n**5 + 12005*n**4 + 2*n - 12005*n**4 + (4 - 5 + 3)*(-3 - 2*n**5 + 3) + n**3 - n**3 + n**5.\nAnswer: -2168*n**5 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 1, z: 3, t: 5, v: 1}. What is prob of sequence zcv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3749 = -111*j - 1751 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.12, -10, -1\/8, 3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1801 is divided by 57.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 18*a - 17. Let c be h(-10). Solve -3*g - 5*r + r + 4 = 0, 3*r = 2*g + c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, p: 2, n: 1, d: 1, a: 9}. What is prob of picking 1 n and 1 d?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 4, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:33 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19669 + -13938. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180507 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7602*q + 10552*q - 11225*q - 3 + 3.\nAnswer: 6929*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, 616?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z - 62*z = -2849. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -53 - 157. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(42)\/(sqrt(2) + sqrt(2)*3 - sqrt(2)))\/(sqrt(28)\/sqrt(4)*-5))**2*-4*3 + -1.\nAnswer: -7529\/25 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/723 less than -33\/190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1 + -2 + 2. Let i(c) = -2*c + 7*c + 4 - 7*c**2 + 6*c**s. Let q be i(5). Solve -2*j = -0*j - q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/14 and -95\/12126228?\nAnswer: 84883596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/30)\/((-1707)\/51210).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 371 and 7.9.\nAnswer: 378.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29181 + 15 - 2*-2. What is b rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/6 + (-1 - 65). Let o = c + 117. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c - 2*x - 10, 5*c = -4*x - 26. Let v(a) = -6*a - 3. Let k(y) = -25*y - 13. Give c*k(w) + 26*v(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/6)\/(118\/2006).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 28*q + 202. Let n be p(15). Let k = -5 + 23. Find the third derivative of -18*s + 12*s**4 + k*s - 21*s**2 - n*s**4 wrt s.\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 372, 805, 1406, 2175?\nAnswer: 3112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i + 1. Let f be (12\/(-16) - 2)*(-56)\/(-14). Let s(a) = -20*a + 5. Give f*z(t) + 2*s(t).\nAnswer: 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:00 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -40625.827 to the nearest one hundred.\nAnswer: -40600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(2\/5)*n)**34\/(n\/n**0*n)**(1\/4) assuming n is positive.\nAnswer: n**(1151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/6003056 and 49\/16.\nAnswer: 6003056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65686, 64633, 63580, 62527, 61474, 60421?\nAnswer: 59368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 44 + 43008*d - 43010*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 138 = -2*y - 1018, y + 2898 = 5*q. List the prime factors of q.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1143238)\/20 + -1)\/(-6). Let w = h - 9525. What is the common denominator of (-393)\/(-36)*1\/1 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*o + 2899995, 5*t - 3*o + 329327 = -2570676. 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 r be (-51)\/(-15) - (-6)\/(-15). Suppose -r*a = -3*x + 2 + 4, 0 = x + 4*a - 7. Factor 3*j**3 + j**x - 7*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*w + 11 + 8, 5*w + 25 = 5*z. Let l be (1 - 0 - 2) + z. Suppose -3*n = -6 - l. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 12. What is the least common multiple of t\/(-1) - (-2 + 0) and (-36)\/8*4\/(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 25\/1798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 37, 4, 79 in decreasing order.\nAnswer: 79, 37, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2 + (-1 - (3 + -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 4*f**3\/3 - f**2 - f + 1. Let p(x) = x**2. Suppose 65 - 39 = 26*l. Give l*t(u) - 6*p(u).\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)\/k)\/k**(-9)*k**(-1\/8)*k*k\/(k**(-2\/23)*k) assuming k is positive.\nAnswer: k**(11359\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/16 + 10\/4. Let f(s) = 143*s**3 - 2*s**2 + 7*s - 6. What are the prime factors of f(w)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 237305146 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344 + -328. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7547 at most as big as 7495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1 (c) -0.16 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5347873?\nAnswer: 19, 67, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2))**(1\/2))**(3\/13)*(a\/a**2*a*a\/(a*a**(3\/8)*a))\/(a**(-5)*a**6\/a) assuming a is positive.\nAnswer: a**(-167\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 71.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 4*m**2 + 2. Let y be b(-4). Let c(k) = -k + 1. Let x be c(0). Let p = y + x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26768292*b**3 + 26768275*b**3 - 53536565*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 160?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-14) + 18\/462. What is the closest to -2\/5 in l, -0.4, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + 6*g - 7. Let z(s) = 4*s - s - 4 - 3*s**2 + 2*s - 2. Let p(t) = 5*u(t) - 6*z(t). Differentiate p(r) wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = -3*g + 1633. Let q = g + -359. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33121112003 - -322?\nAnswer: -33121111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -390, -706, -938, -1080, -1126, -1070, -906, -628?\n\"Answer: h**3 + 36*h**2 - 431*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + -4*(3 + -4). Let z = 85\/6 - 389\/30. Which is greater: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14806 + -13090. What are the prime factors of n?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497749057.\nAnswer: 13, 38288389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/6*(-532)\/(23541\/177)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:06 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55593922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -682, -1917, -4308, -8437, -14886, -24237, -37072, -53973?\nAnswer: -75522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -155*o + 11286. Calculate w(70).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*(-12)\/9. Suppose -15770 = -s*p + 10876. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -85*u + 487. Let d(x) = -9. Let i(g) = -4*d(g) + n(g). Differentiate i(v) wrt v.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97376649.\nAnswer: 3, 1433, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*t + 145*i**2*v**3 + 2*i*t*v - 8*i*v**3 - 5*t*v wrt i?\nAnswer: -2*t + 290*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -48. What is the closest to -2 in 3\/4, 6, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/((r\/(r*r*r**(-1)))\/r)))\/r**(-4))**(-40))**(-1\/43))**(1\/75) assuming r is positive.\nAnswer: r**(8\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1.805?\nAnswer: 0.9025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.3 (c) -2\/3 (d) 38 (e) 872.4 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656 and 3103249.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0)*3 - 2. Suppose 2*k = -c*i + 26, 2*k + 7*i - 2*i = 31. Suppose 0 = -k*b + 41 + 4. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087712 is divided by 2317?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.077.\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*m = 10, 19*n - 5*m = 22*n - 10. Which is smaller: n or 54\/1003?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**7\/84 + 7*s**6\/180 + 5*s**3 + 17. Let g(k) be the third derivative of t(k). What is the third derivative of g(w) wrt w?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182185711 by 4.\nAnswer: 182185711\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y. Let s(c) = 55454*c**2. Calculate q(s(b)).\nAnswer: 166362*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1137, -8180 in decreasing order.\nAnswer: 1137, -1, -8180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 52*n. Solve -48*p + 57*p + 45 = n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8 + 9 + (-95)\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 892, 2002, 3556, 5554, 7996, 10882?\nAnswer: 14212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**6\/70 + 23*p**5\/420 + 13*p**4\/168 + p**3\/21 - 9*p**2. Factor n(b).\nAnswer: (b + 1)*(3*b + 2)*(4*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 2*z**3 + 2*z**3 + (3*z**3 - 3*z**3 + 2*z**3)*(-3 + 4 + 0) + 7*z**2 + 0 + 5*z**2 + 2*z**3 - 1.\nAnswer: 6*z**3 + 12*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -146 - 5*q**3 + 4*q**3 + 186 + (3*q + 1 - 1)*(-4*q - 2*q**2 + 4*q).\nAnswer: -7*q**3 + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366297 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 1 - 10*x**3 - 1 + 1622*x - 2035*x**2 + 2079*x**2 wrt x?\nAnswer: -60*x + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2*o**3\/3 - 7*o**2\/2 - 7*o + 13. Let g(c) be the first derivative of f(c). Let i(k) = -5*k - 8. Give 7*g(r) - 6*i(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.1, -16\/5, 60, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524 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: What is next in -238951, -238913, -238857, -238783, -238691, -238581?\nAnswer: -238453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(3 + 0 - 2)*(14*x - 4*x + x) as w*x + p and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -371*p + 4069. Determine k(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11324 + 15?\nAnswer: -11305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.14\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23211*o*u**4 - 29221528*o - 477*u**3 wrt u.\nAnswer: -92844*o*u**3 - 1431*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/33)\/((-76)\/(-418)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p**2 + 288*p + 882. Let a(d) = -10*d**2 - 286*d - 876. Let u(v) = -5*a(v) - 4*s(v). Factor u(t).\nAnswer: -2*(t - 142)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + z + 27 = 1, 2*c + 2*z + 4 = 0. Solve 0 = c*b + 4*a - 20, 5*b + 28*a = 24*a + 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(117) + (sqrt(117) - sqrt(117)*2))**2 + 1 + (0 + sqrt(117) + sqrt(26)\/(sqrt(4)\/sqrt(2)))**2 + -3.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1416159*-0.36.\nAnswer: 509817.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 36*i - 1420. Calculate n(43).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38249309 divided by 7?\nAnswer: -5464187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/58)*6\/(-180)*-10*3\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*g + 55671, 51*i = 3*g + 46*i - 83544. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581913769?\nAnswer: 197, 1039, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*b - 728*b + 4 = -2*t, 4*b + 5*t + 11 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab6ba7 (base 13) in base 6?\nAnswer: -222350131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0 + 0)*(u - 3*u + 0*u) + 10 + 13*u**2 - 10 + (4 - 4 + u)*(3*u + 3 - 3).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a factor of 2364816932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*x**4 + 1906*x**2 + 663*x**2 + 15*x**3 + 5*x**3 + 267*x**2 + 21*x**4 wrt x.\nAnswer: 24*x + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 less than 3.2?\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 266 - 84. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1519 * -0.07\nAnswer: -0.080633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a millennium in years?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 7*v**2 + 7*v + 13. Let n be w(5). What is the remainder when ((-3)\/(-2))\/(2*n\/(-328)) is divided by (-1100)\/(-35) - (-6)\/(-14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + h**3 - 5*h + 64 - 2*h**2 - 5*h + 56 - 110 to the form n*h**4 + l*h + v*h**3 + u + w*h**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26184?\nAnswer: 2, 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 368 - -18. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24687716, -49375433, -74063150, -98750867?\nAnswer: -123438584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**4 - h**4 - h**4)*(7 + 14*h - 7) - 13*h**5 - 8*h**5 - 18*h**5.\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - 1. Let t = 2542 - 17846\/7. Find the common denominator of t and 155\/(-44) + (-2)\/a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85690 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*d - 2*d**2 - 20*d - 20*d**3 - 136*d**3 - 81*d**3 as j*d + t + s*d**3 + u*d**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**15\/r*r**(-22)*r assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-12)*-723)\/(((-6)\/(-38))\/(-3)). Calculate the highest common divisor of 1687 and i.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 divided by 10?\nAnswer: -209\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 168, 326, 484, 642, 800, 958?\n\"Answer: 158*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/((-544)\/24))\/((-111)\/4)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 7 + 23. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.31558 + 0.01558. What is q rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246924900 by 2743610.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/20*28\/14)\/(2\/10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 1\/90, 34, 1\/3?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3 - 4 + 4 - 2 + (1 + 1 - 1)*(3 - 2 - 2) + 1 + 0 + 1 + 1 + 0 - 3 + (2 + 0 - 1)*(0 + 4 + 1))*(-4*t + 2*t + 0*t) to k*t + c and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 522459.904 to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.5 and 191?\nAnswer: -3342.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*k**3 - 8*k**2 + 8*k**2 - 82*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2577*x - 517*x - 836*x + 1195*x + 605*x + 2647*x + x + 0*x + x + 0*x + x + x + (x - x + x)*(-3 + 3 + 1).\nAnswer: 5676*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by 93.\nAnswer: 139\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7649477l in millilitres?\nAnswer: 764.9477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, -4, -514 in increasing order.\nAnswer: -514, -5, -4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*l - 302*l + 798*l.\nAnswer: 604*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.68 - 2.68. Let k be (-3 + (-39)\/(-9))\/1. Which is the nearest to k? (a) 5 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 26 = -2*z + 5*g, 4*z = -5*g + 4. Let b be 2\/3 - (-11)\/z. Suppose 0 = 3*q + 2*i - 8, -4*q - 11 = 3*i - 21. Is q greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4372, -4298, -4224, -4150?\n\"Answer: 74*w - 4446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((182\/2)\/91)\/(2\/52)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x - 20*x = 188 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12035038 from -0.1.\nAnswer: -12035038.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*j = 28, 0 - 4 = 2*o - 2*j. What is the closest to 1\/3 in -0.3, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 6?\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -95?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3 + 596\/16. Let z = 39 - i. What is the closest to -0.1 in z, -0.1, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -23 (c) 6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12705?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(900))\/(sqrt(972) - ((sqrt(972) - -1*sqrt(972)) + sqrt(972))).\nAnswer: -5*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 330 = 49*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 60841620.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 - 222*o**4 + 3852*o**3 - 10248*o**2 - 117600*o = 0 for o.\nAnswer: -4, 0, 14, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-4 - (10 - (1 + 0)) - (-8 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -6, 2, -2, -1, -167513 in ascending order.\nAnswer: -167513, -6, -5, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -379.72278 - 4503.\nAnswer: -4882.72278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 68548 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:34 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 735605371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 10*q - 5. Let c be b(-4). Let g(h) = -h**2 - 4*h + 7. Let u be g(-5). Let p(z) = u*z - 3 + 4 + 1. Calculate p(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -6. Suppose 0*c - 62 = -4*c - 2*j, -4*j = c - o. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61245473 to the nearest integer?\nAnswer: 7826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -464*(-8)\/240*1080\/(-144).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2237 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, a: 1, y: 2, d: 2, k: 6, z: 1}. Give prob of sequence zy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 222565670471 take away -0.75?\nAnswer: 222565670471.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10)*4\/5 + 7964\/(-13575).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**5\/20 + 17*f**4\/12 + 13*f**3\/6 - 11*f**2 + 23*f. Is 3 a factor of l(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860747, 860749, 860751, 860753, 860755?\nAnswer: 860757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = 3*n + 2, 0 = -n - 3*k - 11. Let d be (-2*1)\/(11 - 245\/21). What is the remainder when ((-99)\/(-2))\/d + 48\/96 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 1. Suppose 15 - 6 = l. Suppose l - 24 = 5*p. Sort p, h, 2 in ascending order.\nAnswer: p, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/2)\/(1147\/6882).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**4\/4 - 97*b**3\/3 - b**2\/2 + 97*b + 6. Let k(x) = 0. Calculate x.\nAnswer: -1, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/15*175\/420. What is the closest to 1\/3 in -4, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7469*c*h**3*t**2*w - 12*c*h**2*t**2 + 2*c*h**2*t + 3*c*h*w - 2*c*t**2*w + 3*c*t*w - 185*c*t - h**3*t + h**2*t**2 wrt h?\nAnswer: 44814*c*t**2*w - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*r + 3675 = -174*r for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5079535 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2143 + 2161. Calculate the least common multiple of 858 and r.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 33191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03574 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 - (-210)\/(-20))\/((-2)\/48). Let f be 40\/(-15) + 2 + 28\/p. Factor -4\/3*z**3 + 1\/6 - f*z + 17\/6*z**2.\nAnswer: -(z - 1)**2*(8*z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -23. Suppose 0 = -h*r + 22 - 10. Solve 3*j - 17 = -2*m, r + 20 = -m + 5*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1190764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 16) to base 10\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + 10. Calculate the remainder when 73 is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 140 + 2*n - 66 - 50 - 23 - 25.\nAnswer: 2*n - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*z = 168, 189*x - 185*x = -5*z + 10. Let o = -2.8 + 3. What is the closest to o in x, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.7847 + 0.8027. Let v = k + 16. Round v to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/12*(-8)\/3. Let h be (-4)\/w - 885\/(-9). Let u be (-1 - 6\/(-3))\/(4\/36). What is the highest common factor of u and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (11 - 24) + -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**4*b - 10*a**4 + 213*a**3*b + 25*a**2*b + 21*a*b wrt a?\nAnswer: 120*a*b - 240*a + 1278*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*-16*4\/(-640)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t**2. Let u = 2 + 1. Suppose -u*n + 3 = -0*n. Determine w(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348938665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*a + 46, 3*p - 51 = 8*a - 5*a. Solve -6 = -24*q + p*q, -5*r + 19 = -2*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 10) to base 4.\nAnswer: -3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 500532 and 16?\nAnswer: 2002128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u - 6*u**2 + 9 + 2*u**3 - u**3 + 6. Let d be f(7). Suppose -216 = 2*y - d*y. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12160 is divided by 6989?\nAnswer: 5171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85432 and 168144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 732488053315 less than 0.4?\nAnswer: -732488053314.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/147700 and -31\/2555?\nAnswer: 10782100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 86, 2, 0.017?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - 2\/6. Let w(u) = -2*u**2 - 11*u + i*u + 11*u. Let r(n) be the first derivative of 2*n**2 + 5. Give r(w(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3300 + -3300.4. Which is the third biggest value? (a) -2\/17 (b) 5 (c) -0.3 (d) -26 (e) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 3*a**2 - 3. Suppose 0 = -0*h + h - 28. Let o(b) = -8*b**3 + 28*b**2 + 28. Give h*j(v) + 3*o(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3*i**(2\/17))\/((i\/(i**(-4\/3)*i))\/i**(-8)) assuming i is positive.\nAnswer: i**(-266\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 - 11. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -4327, 0.5, 0.3, -3, -2\/3, -119\/3?\nAnswer: -119\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/455 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.86 - 0.14. What is the nearest to 0.1 in -2\/5, -2, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t - 4. What is k(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 18*o + 9*o - 4 + 30*o**2 - 27*o to a + l*o + s*o**2 and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**5\/20 - j**4\/12 + 3*j**2\/2 + 2. Let h(o) be the second derivative of g(o). Find the second derivative of h(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7322 - 7506.24. Let b = -549 - -360. Let x = o - b. What is x rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69711 divided by 4?\nAnswer: -69711\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -49*v + 8. Let g(u) = 49*u - 7. Calculate -6*g(l) - 5*m(l).\nAnswer: -49*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 8:54 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12 = -a, 2*i + 4*a = -a + 24. Let h be 1*1\/1 + 3. What is the highest common divisor of i and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225525 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -44*w**2 - 50*w + 17. Let l(f) = -27*f**2 - 25*f + 8. Let h(o) = 5*l(o) - 3*z(o). What is h(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {r: 1, k: 1, n: 2, i: 1, s: 1, m: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 14*v**2 - 12*v + 15. Let l be d(-13). Find the third derivative of -17*n**l - 132*n**6 + 7586*n**4 + 139*n**2 - 7586*n**4 wrt n.\nAnswer: -15840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 + 2*n**2 + 4*n + 1. Let f(m) = -3*m**3 + m**2 + 4*m. Let u(s) = -2*d(s) + 3*f(s). What is the hundreds digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + -395533.\nAnswer: -395524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 995324?\nAnswer: 995324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y - 4. Let p(s) = 10001*s**2 - 6*s + 5. Let g be p(5). Let t be (2 - -10)\/(y\/g). What is t rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5260 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h**2 + 253*h - 106*h**2 - 253*h as j + t*h**2 + w*h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 + 470\/90. What is the greatest common factor of 40 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.31046 to zero dps.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*l**2 - 394 + 779 + 282*l**2 - 385.\nAnswer: 73*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.395821mg in grams?\nAnswer: 0.000395821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40152*g**4*n - 54*g**3*n - 5*g*n - 221600*g + n + 1 wrt g?\nAnswer: -481824*g**2*n - 324*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010319964 a multiple of 12798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4632.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0470382 - -64.0473682. Let x = h - 63. Round x to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 138*t**2 + 2. Let m(f) be the first derivative of 5*f**3\/3 - 8009. Give m(d(a)).\nAnswer: 95220*a**4 + 2760*a**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g - d, 2*g + 2*g = 2*d + 16. Let b = -22 - -27. Let m be -3 + b\/2 + (-1)\/(-2). Sort m, -4, g in descending order.\nAnswer: g, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.363 + 43.163. Let b = d - 33. Let i = b - 10. Sort 1\/5, i, -0.05.\nAnswer: i, -0.05, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5847, -5810, -5773?\nAnswer: -5736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**1)))\/v)**40*v**0\/v*v*v\/(v\/(v\/v**(4\/7)*v)) assuming v is positive.\nAnswer: v**(290\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 149390429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 109233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 4. Let s(j) = j**2 - 5*j - 10. Let k be s(7). Let a be c(k). Let m(b) = -b**3 + b**2 - 7. Give m(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1319 - -1319.5976. What is j rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 578*g**3 - 4*g**2 + 16*g + 3. Let k(r) = 582*r**3 - 5*r**2 + 24*r + 4. Determine 2*k(f) - 3*s(f).\nAnswer: -570*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i + 2. Let x be z(-3). Suppose -3*r + x = 4*c, 3*c - 8 = -r + 2*c. Put -4, -1, r in descending order.\nAnswer: r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2100 and 529425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2 - 2\/(-6). Let n = -2\/21 + 67\/42. What is the nearest to -2 in 1, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (26\/(-10))\/((-16)\/(-20)). Let b(m) be the first derivative of -z*m**4 - 3 + 4*m + 0*m**2 + 0*m**3. Differentiate b(t) with respect to t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -33. Suppose 26 + l = 2*h. Let x be 56\/h - (-2)\/6. Solve -4*o + 3*p = -2*p + 2, x*p = -3*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 51, 101, 205, 381, 647, 1021, 1521?\n\"Answer: 3*u**3 - 7*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**5\/75 + 173*t**4\/5 - 179574*t**3\/5 + 1645*t**2. Determine p, given that j(p) = 0.\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 22320\nAnswer: 200880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 - -156. Suppose v = q + 2*b - 7*b, -4*q + 135 = 5*b. What is the highest common divisor of q and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277910, 277828, 277744, 277658, 277570, 277480?\nAnswer: 277388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/2)\/(4\/18*((-17388)\/(-112))\/(-23)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1227 - 230. Let j = -997.4644 + i. What is j rounded to two decimal places?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1942 and 80?\nAnswer: 77680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 - -112. Suppose l + r*l = -4, -51 = -3*m - 3*l. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 1069, 1582, 2079, 2560, 3025, 3474?\nAnswer: 3907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 9*x - 2. Let h be g(-8). Let p(v) = 2*v**2 - 4*v + 4. What is the units digit of p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*s - 1988*s + 1056*s + 2976 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 - 7*l - 10. Let m be g(3). Let i(k) = -k**3 + 3*k**2 + 6*k + 5. What is i(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 3*g + 1. Let u be j(4). Suppose -3*b - 36 = -u*h + 74, 4*b - 120 = -4*h. Solve -4*d + h = -9*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26188557, 52377161, 78565765, 104754369, 130942973?\n\"Answer: 26188604*u - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**2 + 1639 - 3004 + 1365 + 17*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -8*m + 6*m + 22, -3*m + 9 = s. What is the remainder when 57 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 95613*j + 191222.\nAnswer: (j - 95611)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 16039 = -26*w. Calculate the remainder when w is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**3)**(-40)*z**7\/(z\/(z**(2\/7)*z)) assuming z is positive.\nAnswer: z**(611\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**2 + 2*c. Let i(f) = 13*f**2. Determine t(i(h)).\nAnswer: 1183*h**4 + 26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1 + 9 = 2*x, 2*x = 5*v - 8. Let q = 15 - v. What is the highest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.279 * 1.3711.\nAnswer: -0.3825369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*-1*-4)\/sqrt(3) + (sqrt(66)*-1)\/sqrt(6) + 1*(sqrt(11) - (0 + sqrt(11)) - sqrt(11)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6656, -13206, -19654, -26000, -32244, -38386?\nAnswer: -44426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 11:46 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -485\/7 + 69. Let d = -1.7 + 1.76. Let r = d - 0.06. Is m greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-5))\/(-1)*(-3 + 1). Factor -3 - 5*z + 3*z - 1 + z**k + 5.\nAnswer: (z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -7. Let y = -2 - r. Let t(z) = -z**y - 4 + z + 5 - 4*z. Calculate t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(20) - sqrt(5)).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttctjjjjcjrjjjt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556 (base 13) in base 15?\nAnswer: dc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q**4 + 0*q**3 + 2*q**2 + 0*q + 0*q**6 - 89\/30*q**5 + 0*q**7 - 29\/168*q**8 - 18. Find the third derivative of m(g) wrt g.\nAnswer: -3480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.173574 rounded to two dps?\nAnswer: 7.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/341142 and -7\/145.\nAnswer: 49465590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (2 - 8))*-1. Suppose -4*x - 4*f - 10 = -2*f, h = 4*x - 3*f. Is (-4)\/6*-45 - x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 80\/(-44) - 5*(-10)\/25. What is w in a*w**4 + 6\/11*w**2 - 6\/11*w**3 + 0 - 2\/11*w = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 284 + -64. Let s = -151 + b. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let t = 0.8 - a. Let w be (-2)\/(-3) - 13\/(-3). What is the nearest to -1 in w, t, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (15 - (8 + -3 + -21))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1035331 - -0.10347. Round g to six dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 + (-93 - 90) - 37.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 2 + (-16520)\/(-413).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (-13 + 0 + 5 + 19 + -12)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -46891012162540.\nAnswer: 46891012162540.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-28 - (18 - 26)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1096 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24815250 a multiple of 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 2\/21 (c) 7 (d) -1\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.306964ml to litres.\nAnswer: 0.001306964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/((-5724)\/(-378))*-8.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/728 and 33\/3752.\nAnswer: 48776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 24*b**2 + 13*b + 2. List the prime factors of w(-4).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.219 - 411.181. Let d = i - -411. Sort 1\/2, 2, -3, d in descending order.\nAnswer: 2, 1\/2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 7*z - 5. Let q be p(4). Let v = 7 - q. What is the second derivative of 4*o - o + v*o**4 - 3*o**4 - 2*o wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 12*h + 274, 5*m - 5*h = -319 + 429 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -20053*w**2 + 20053*w**2 + w - w - 89 - 45*w**3. Let d(u) = -46*u**3 - 89. Let k(t) = 6*d(t) - 5*o(t). What is the derivative of k(h) wrt h?\nAnswer: -153*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 10*p - 13. Let o be r(-8). Let x(d) = -34*d**2 - 3*d - 3 + 62*d**2 - 33*d**2 - d**o. Give x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 346, -1\/4, -5338.1, -3?\nAnswer: 346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-1 + (1 - -3)). Let f(r) = r**2 + 4*r + 3. Determine f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -33*a + 56. What is v(3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 2, g: 4, w: 1, r: 3, y: 6}. Give prob of picking 1 y, 1 n, 1 g, and 1 w.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b + 0)*(4*b - b**3 - 4*b) - b + 176*b**4 + 98*b**4 - 979*b**4.\nAnswer: -706*b**4 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:30 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -14. Let n = -6675.2 - -6675. Which is the nearest to f? (a) -0.09 (b) n (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 53543533*s + 1. Let g(j) = -j**2. What is p(g(k))?\nAnswer: 2*k**4 + 53543533*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 13376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12355.717446 rounded to one dp?\nAnswer: 12355.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93667107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1175 - 294 + 2*x - 289 - 288 - 287.\nAnswer: 2*x + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-8))\/(3\/(-252)). Let z = 185 - a. Suppose 5*w - z = -0*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 1. Determine i(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 3*c**2 + 3*c - 2. Let g be p(2). Let r(l) be the second derivative of 1\/20*l**5 - 4*l + 0*l**4 - 1\/6*l**3 + g + 0*l**2. Determine r(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 x, and 1 z when four letters picked without replacement from {j: 3, m: 4, r: 1, x: 2, z: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 - 10024*a**2 + 2632985*a + 13415400 = 0.\nAnswer: -10280, -5, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66090 + (-2)\/(24\/84) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) -2\/9 (c) -2\/5 (d) 2.3 (e) -1\/4 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*(w*w**(-23))\/w*w)*w**(-1\/8)*(w**(-7))**32 assuming w is positive.\nAnswer: w**(-1617\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l**3 + 394493*l - 394493*l.\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 - 40*w + 11. Let m be b(13). Let d be m\/((-12)\/(-30)) + 20. Solve d = -5*n - 3*y, 3*y = -n + 4*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 2*t + t + (0 + 2 + 0)*(-2*t - 2*t + 5*t) - t - 3*t + 3*t + (4 - 4 - t)*(-8 + 3 + 4)*(-3 - 2 + 4).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*3\/(-2). Let i be (0 + z)*-1 - -5. Let y(u) = u**2 - 6*u + 6. What are the prime factors of y(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q**2 + 16*q + 2. Let f(x) = -16*x**2 - 17*x - 3. Let g(b) = -2*f(b) - 3*r(b). What is the second derivative of g(s) wrt s?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -841 - 817 + 1656 - 12*o.\nAnswer: -12*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2491 + 2491. Which is the biggest value? (a) -1\/4 (b) 0.4 (c) k (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -46. Suppose i = -2*c + 6*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -16*h. Let t(j) be the first derivative of j**2 - 1. What is d(t(i))?\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x, 20 = -4*u - x. Let s = u + 13. Calculate the lowest common multiple of s and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n = 7*n + 12*n + 448 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 162 - 13*s**3 - 41*s**3 - 82 wrt s.\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12322 (base 9) in base 6?\nAnswer: 102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290*g**5 + 5*g**4 - 426*g**3 - 27321186*g**2 wrt g?\nAnswer: -17400*g**2 + 120*g - 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3223\/12 - -1073\/4. What is the closest to b in 1\/7, 1, 5, 4.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2173, 4422, 6671, 8920?\n\"Answer: 2249*q - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 79, -184317 in descending order.\nAnswer: 79, -5, -184317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 8) in base 9?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*s - 8, -4*s + 5632 = -5*l. Round l to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 + 166. Suppose -r = 6*z - 53. Calculate the remainder when 4 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:36 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 364 = -25*n + 33*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034726 rounded to 3 dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4311*x**4 - 4308*x**4 - 9*x**2 + 21*x**2 + 15*x**3.\nAnswer: 3*x**2*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -762 - -825. Calculate the remainder when 174 is divided by q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/14635 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 1. Let z be h(-4). Let l(i) = -2188*i + 4376*i - 2184*i + 36. Does 35 divide l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:51 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h. Let q(y) = 6256*y**2. What is q(w(f))?\nAnswer: 56304*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 13780179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29.145 from -4.9.\nAnswer: -34.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 - 12*z**2 - 13*z - 10. Let a(l) = -l**3 + l**2 + l + 1. Let u(q) = -6*a(q) - p(q). Calculate u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.11, 2\/7, -2\/12465?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (216\/168)\/(16\/14) and 1 + 25\/(-4) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2765 and 45.\nAnswer: 24885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25973 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27707486977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 - z**3 + 6*z**2 + z**3 + 3*z**3 in the form w*z**3 + x*z**2 + q*z + y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1359 + -1871. Is -511 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21714)\/10340*2\/14.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s. Let v(j) be the second derivative of -j**5\/40 + 29*j**3\/6 - 27*j. Let m(z) be the second derivative of v(z). Calculate q(m(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11 - 2 - 2*h - 9 - 2. Let r(t) = -2*t - 2. What is 3*f(p) - 2*r(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90885 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 5:26 PM and 7:48 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(2\/37)\/c))\/c)\/c**(-1\/10))\/((c\/((c*c\/(((c\/(c\/c**(-1\/9)))\/c)\/c))\/c))\/(c**3*c)) assuming c is positive.\nAnswer: c**(23833\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, i: 2, s: 9, c: 5}. What is prob of picking 1 h, 1 i, and 1 s?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 3 + 13 + -6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/2 and 6\/(-9) - (-4807)\/456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9140261 micrograms in grams?\nAnswer: 0.0000009140261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71122 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/432 and -11\/1545.\nAnswer: 222480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*d + 3, -3*i - 9 = -118*d + 123*d. Let q(o) be the first derivative of 20*o**i - 5\/2*o**4 + o**5 - 5 - 5*o**3 - 20*o. Solve q(h) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -209, -2, -1, 5, 0 in decreasing order.\nAnswer: 5, 0, -1, -2, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 378?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -6. Let r = f + -11. Suppose 3 = -5*z + 2*i, 0 = -z - 3*i - 4 - r. Is z at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17 + 60*p - 108 - 88*p + 18 - 151*p with respect to p.\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4281 + -4276. Solve -3*g + i*g = -2*n + 14, g + 1 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 535 - 73. What is the remainder when r is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.65 - 0.25. Round z to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-21)\/(-14))\/(-53 - 5) and 61\/174?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -978.407 + 987. Let k = y - -0.407. What is the closest to 0 in k, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 479902*x**2*z**2 + 2*x**2*z - 7*x**2 + 3640*x*z - 180*z**2 + 15*z + 1 wrt x.\nAnswer: 959804*z**2 + 4*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*v = -v - 17, 0 = -3*s + 5*v + 17. Let b = 0.399 - 0.099. What is the nearest to 11 in -2\/3, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/16)\/((-180)\/576)*-100*(-21)\/14?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 12*g - 108. What is b(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-10) - 22\/55)*-3. Which is the closest to 5? (a) l (b) -1 (c) 2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 140971050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**2 - 17*l + 9. Let o(w) = -17*w**2 + 35*w - 18. Let s(k) = 13*b(k) + 6*o(k). Let z be s(-13). What is z rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 0 - ((6 - 3) + -4). Solve -3*o = -3, b*y - 6*y - 3*o - 13 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2525.819, -5, 5, -4, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 34. Let n = 49 - d. Which is the nearest to 1? (a) n (b) -0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**4\/2 + 561*m**3\/2 - 6060*m**2 + 31050*m = 0.\nAnswer: -207, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**5 - 4968*o**4 - 29216*o**3 + 553728*o**2 = 0.\nAnswer: -1236, -14, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -54191556621.\nAnswer: -54191556620.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 94538244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 6*n + 12. Give j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/24 - 11*j**3\/6 + 43*j**2. Let d be s(-15). Solve -28 = -4*n - d*q, 2*q - 1 = -n + 4*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3505 - -3602. What is the remainder when k is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 23*i - 42. Let c be k(-21). Solve -17*r - 51 - 17 = c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - c - 49*c**4 - 2 + 5*c + (3 - 3*c**3 - 3)*(31*c + 6*c + 13*c) to the form h*c + m*c**4 + n*c**3 + w*c**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 155 + 2*b**3 + b - 76 - 81 as p*b + m + h*b**3 + q*b**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10347 and -4.\nAnswer: -41388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 21*w**4 + 5*w**3\/6 - 6*w**2 - 228*w. What is the hundreds digit of i(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -923 divided by 3?\nAnswer: -923\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -8. Suppose 5*u - 18 = 2*l, 2*l - l + 2*u = 0. Let f be ((-11)\/(-66))\/(l\/3). Which is the nearest to 1\/4? (a) 0.5 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*y - 273*y + 553*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 3 + 0 - 1 + 0 - 1 + 5 - 2 - 3 + 0 + 2 + (3 - 5 + 1)*(-1 + 4 - 2) - 3 + 1 + 4 + 1 + 0 + 1)*(-2*f - 44 + 62 - 38) in the form u*f + b and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (-18 - (25 - 19) - -22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*f - 88 + 88)*(49*f**2 + 47*f**2 - 70*f**2)*(3*f - 2*f + 2*f).\nAnswer: 3276*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1661173*f**3 - 16415342 wrt f?\nAnswer: -4983519*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -11, -1\/9, -2.5 in descending order.\nAnswer: 0.4, -1\/9, -2.5, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 214 + 166 = 0. Let z be 8\/6*9\/6. Suppose -k = -z*k + t. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.939436 - 5.539226. Let g = -4.6 - o. Round g to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3578318341?\nAnswer: 13, 191, 1441127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + x - 6*x - 2*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - 86048475.\nAnswer: -86048474.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3*(-12)\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**9\/63 + d**8\/336 - 13*d**5\/60 + d**3\/3 - d**2 + 3. Find the third derivative of z(m) wrt m.\nAnswer: -960*m**3 + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6748724789.\nAnswer: 6748724789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 22*d**2 + 209*d + 194. Calculate o(-29).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/3))**(5\/6)*((((s**3\/s)\/s*s)\/s)\/s*s)**(1\/14) assuming s is positive.\nAnswer: s**(149\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-60)\/(-8))\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/55*10\/(-14). Which is the second biggest value? (a) 4 (b) 2\/63 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*22\/66\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 747684 and 1073709.\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.4356 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 24. Let n = b + 12. What is the third derivative of v**6 + n*v**6 - 6*v**2 + 0*v**2 wrt v?\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/23)*w*w)\/(w\/(w*w**(-9))))**9\/(((w\/(w*w**(1\/10)\/w)*w*w)\/(w**0\/w))\/(w*w*w**(2\/5)*w**(-5))) assuming w is positive.\nAnswer: w**(-3161\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.94433*-0.046\nAnswer: -0.08943918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4433 + 3211?\nAnswer: 12044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -758\/973 - -9\/139. Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -31\/3. Let y = 5132 + -35982\/7. Calculate the common denominator of u and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9984)\/7488)\/((-20)\/14*14\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 94, 141, 188, 235, 282?\n\"Answer: 47*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1986721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12901, 10922, 7623, 3004, -2935, -10194, -18773?\nAnswer: -28672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 3*m. Let t(y) = y**2 + 2*y. Let l be 4*-1*5\/(-20). Let o = l - -1. Calculate o*a(d) + 3*t(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2582, -5169, -7748, -10313, -12858, -15377?\nAnswer: -17864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1231926 and 1422.\nAnswer: 3695778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (130*i**4 - 50*i**4 - 32*i**4)*(1 - 4 + 4)*(-5 + 2 + 4) to d*i**2 + n + p*i**4 + z*i**3 + l*i and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/(-51)*(-4)\/(-48)*4?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**3 - 1300*d**2 - 5260*d - 5280 = 0?\nAnswer: -2, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/660*1275\/(-34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*p + 225*p - 118*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -14.28. Let i = 0.2 + x. Let s = 0.33 + i. What is s rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1477374 by -738687.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2725420.70707 - 24.9\nAnswer: -2725445.60707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -218\/89 (b) 1 (c) 4.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1104 and -157\/79719564?\nAnswer: 318878256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 451 + 939 = 355 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 6*i + 60. Let u(p) = -9*p**3 - 6*p**2 - 6*p + 6. Let w(j) = -10*j**3 - 7*j**2 - 7*j + 7. Determine i*w(c) - 7*u(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpn when three letters picked without replacement from npjhsjm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 1 - 1)*(2 - 4 - 1) - f**2 + f**2 + f**3 - f**3 + 4*f**3 - f**3 + (3*f**2 + f**2 - 2*f**2)*(-2 + 2 + f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103427 (base 8) to base 15.\nAnswer: a3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by 2.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 61. Let p = 40 + a. Solve p*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 4*k = 7, 5*r - 2*k - 7 = 0. Let q be 186 - 4\/2 - 1. Let z be r - (-3 - q\/(-45)). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000025659008 rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*f + 391 - 395 = 0, 0 = -5*t - 4*f + 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**2 - 42220*s - 89126420 = 0. What is s?\nAnswer: -4222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**3\/3 - 14*n - 2. Let r(z) = -5*z**2 + 4. Let u(f) = 9*f**2 - 7. Let d(a) = 7*r(a) + 4*u(a). Determine d(j(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4343, 8652, 12961, 17270?\nAnswer: 21579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1298 and 1916497?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 1\/124060431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -0 - 0. Suppose 0 = 2*x - 2, t = 3*o - 8*o + 4*x + 1681. Let j = 521 - o. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-85 - (-8 + 2 + 2))) + -9 + 9?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/6)\/((-4)\/4))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5 + 42*n**4 - 1771*n**3 + 13768*n**2 + 31500*n - 431200 = 0.\nAnswer: -70, -5, 8, 11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c608 + -5?\nAnswer: 2c603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*-5*(sqrt(637) + sqrt(637)*-2 + -5)*-5)**2 + 3.\nAnswer: 700000*sqrt(13) + 6620002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3079 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/4 - 559877*h**4\/4 + 19591740864*h**3 - 97955205120*h**2.\nAnswer: h**2*(h - 279936)**2*(h - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 15*i = -4. Let o be i\/(8\/10)*94. Suppose -7*c = -2*c - o. Is c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20207.107 + 20188. Let p = g + 19.2. Let n = 4.907 + p. Which is the fourth biggest value? (a) n (b) -2 (c) 0.2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 532, 926, 1466, 2218, 3248, 4622, 6406?\nAnswer: 8666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)*((r**5*r*r)\/r)\/r*r*r*r**(-9\/4)*((r**3\/r)\/r)\/r)**(-1\/15) assuming r is positive.\nAnswer: r**(29\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.039 - -2.039. Let l be 36\/(-315)*(-5)\/2. What is the closest to i in -1, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4075 - 4135 - (-90 - -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10980.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + s - 3*s = -12, 0 = 3*n - 3*s. Suppose 0 = 3*i + n*t - 382, -122 + 797 = 5*i - t. Suppose 49 = -5*p + i. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-10.517.\nAnswer: 4.2068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, 0 in decreasing order.\nAnswer: 16, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3665*p**4 + 6*p**2 + 213 wrt p.\nAnswer: 87960*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 6. Which is the third biggest value? (a) 1\/2 (b) p (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -102*o**2 - 11*o**4 + 102*o**2 - 2*o**4 - 3*o**3 + 3*o**3 + (-4*o**2 + o**2 + 2*o**2)*(43*o + o**2 - 43*o) + o**3 - o**3 + 4*o**4.\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f + 0*f)*(278*f + 1705*f + 1197*f).\nAnswer: 6360*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1306306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 14) in base 11?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:25 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, 5, 2688, 89, 3 in decreasing order.\nAnswer: 2688, 89, 5, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-16) - (-77)\/4. Suppose -2*o + 632 + 388 = 0. Let s be (-2)\/(-3)*o\/u. What is the greatest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -28. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + -111111?\nAnswer: -1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*f - 216 = 0, 3*o - 2*f + 4*f = 313. Let r(j) = -o*j - j**3 - 51 + 14 + 0*j**3 + 0*j**3 - j**2 + 104*j. Calculate r(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-428967)\/(-9285) - (-132)\/15?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 - 8*p + 30*p + 272 - 132 + 13*p in the form f*p + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 less than 2586?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1841 + -1838. Sort -91, q, -4 in descending order.\nAnswer: q, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/n**(3\/7))))\/n**5 assuming n is positive.\nAnswer: n**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/518*84\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwpp. What is prob of sequence pw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11393219761 and -4.\nAnswer: 11393219757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19967*c**2*i**5 + 72*c**2*i**3 - 132*c**2 + 3*c*i - 2*c + 2*i - 6 wrt i.\nAnswer: -399340*c**2*i**3 + 432*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 7*h - 4*h - 5*h as w + v*h and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -25. Let s(b) be the first derivative of -2*b**2 + 2*b + 8972. Calculate s(z).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/100)\/((-24)\/10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (9\/3)\/1. Let a be (-3)\/((-108)\/(-56)) + x. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45718 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*q = 42, -4*q + 82 = -5*p + 10. Let y be (1*(1 + 1))\/(p\/(-30)). What is the second derivative of -3*c + 50*c**4 - 22*c**4 + y*c wrt c?\nAnswer: 336*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Which is the biggest value? (a) u (b) -1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7762.408 millilitres in litres?\nAnswer: 7.762408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2611?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/19, 3, -7.2, -0.6 in decreasing order.\nAnswer: 3, -5\/19, -0.6, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -12 (c) -6\/187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32109 divided by -139.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -40\/7*c - 6\/7*c**3 - 24\/7*c**2 - 1\/14*c**4 - 15. Let r(n) = 0. What is n?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5 + 5632*r**4 - 56544*r**3 - 67804*r**2 + 56542*r + 62172 = 0. Calculate r.\nAnswer: -2826, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -400316.3873 to the nearest 1000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 658455*g - 3950728. What is u(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(-2 + sqrt(208) + -1) - -2*sqrt(117)\/(sqrt(9) + 3*sqrt(9))*2*2.\nAnswer: -22*sqrt(13) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1724685 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 4 (c) 5 (d) -5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*d = 18, 168 = -18*s + 5*d + 330 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5985 * -241596\nAnswer: 1445952060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90.959 - 91. What is z rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n. Let c(b) = -7*b**2 - 5*b. Let j(z) = -10*z**2 - 7*z. Let h(t) = -7*c(t) + 5*j(t). What is y(h(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gga when three letters picked without replacement from {g: 2, b: 4, a: 2, o: 3}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cww when three letters picked without replacement from {z: 4, c: 3, w: 6, o: 2, p: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o = 0. Let d(h) = -h. Let z be d(o). Suppose -3*v = -r - 3, -4*r - 4*v = -0*v - 20. Solve r*t - 4 + 1 = z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 4\/3, 0.5, 2\/21, -9 in decreasing order.\nAnswer: 4\/3, 0.5, 1\/8, 2\/21, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(288)*5 - sqrt(32)*1*-4) + 2)**2.\nAnswer: 544*sqrt(2) + 36996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 38, -3, 2\/7, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.099*-0.6.\nAnswer: 23.4594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose 5*b - w*b + 14 = -4*y, b - 28 = 5*y. Suppose b*s = r - 2*s - 43, 2*r = 2*s + 86. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2132907 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 4*q + 3. Let g be t(2). Suppose l + 2 = 3*m + g, 2*l = -2*m + 2. Let p = 1121 + -1114. Solve 3*o - 4*i = p*o + 20, m = -o - 3*i - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 539 by -3.\nAnswer: -539\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/4032*(-24)\/(-22)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2278440400 to the nearest 1000000.\nAnswer: -2278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**3 + 2*j**2 + 3*j + 2. Let r(v) = 81*v**3 - 33*v**2 - 48*v - 33. Let d(f) = 2*r(f) + 33*y(f). Factor d(m).\nAnswer: -3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1774 + 1779 - 3553 + 4875*y in the form z*y + m and give z.\nAnswer: 4875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95788 and 35602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9507 + 6609*d + 9507 to the form q*d + m and give q.\nAnswer: 6609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -13*g**2. Let l(x) be the second derivative of -x**3\/3 - 16*x. What is l(k(a))?\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 5*j**2\/2 - 24*j + 15. Let a be p(7). Suppose -5*t + 3*i = -23, 2*t = -0*t + 3*i + a. Solve -3*o = -t*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 191, -1252, -2699, -4150, -5605, -7064?\n\"Answer: -2*m**2 - 1437*m + 1630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1851.3 + 1851. Let a be ((-2)\/(-3))\/((-11)\/(-3)). Let q = -1 + 4. What is the biggest value in -10, a, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i + 4. Let g be (-30)\/(-2)*i\/(-3). Suppose g*w - 2 = 23. Solve -w = -2*t + 5*f, -t - 3*t - 5 = -5*f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7461300 to the nearest ten thousand.\nAnswer: -7460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j - 4*l - 0, j - 3*l + 1 = 0. Let r(w) = w**2 - 7*w + 1. Let n be r(5). Let y be 228\/(-54) - 2\/n. Which is bigger: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87*(-25)\/(-150))\/((-1)\/(2\/(-1))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-8 + 40 + 17)*(-2*c**2 - 3*c**2 - 5*c**2).\nAnswer: -980*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 204 - 154. Calculate the remainder when 194 is divided by x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:53 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*x**5 - 33*x**4 + 3433*x**3 - 15059747*x**2.\nAnswer: 660*x**2 - 792*x + 20598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 3\/28163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 35*v - 1548. Suppose 147 = v*w - 971. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -5589223.\nAnswer: -5589222.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, 2, 6\/19, -7, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhkv when four letters picked without replacement from ssvkmsommmshs.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 29380 to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196926 is divided by 136?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62\/13 in -5, -3, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6157 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*-67*(-4)\/6. Let n = -184 + 112. Let r = n - d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 1, e: 4, n: 4, f: 2}. Give prob of sequence ebl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 + 11*c - 24. Let f(u) = -5*u**2 + 12*u - 24. Let h(r) = -6*f(r) + 7*m(r). Let y be h(4). Is y > 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*z + 13, -4*a + 13 = z - 0*z. Suppose -15*x - 1220 = 715. Let j be (x\/(-430))\/(2\/4*-1). Sort a, 5, -0.5, j in descending order.\nAnswer: 5, a, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-3))\/(8\/(-12)*-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 8*h - 12. Suppose -4*t = -4*m + t + 586, -4*m + h*t + 590 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3.3. Let l = q + -1.3. Let u = 0.8 + -0.5. What is the nearest to l in u, -1, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 1, v: 2, m: 3, f: 1, k: 3}. What is prob of sequence mka?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -27*c - 7. Let n(z) be the third derivative of -z**4\/8 + 1478*z**2. Determine n(p(t)).\nAnswer: 81*t + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 5 - 16*c + 16*c)*(-4*c - 3*c + 3*c).\nAnswer: -4*c**3 - 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16452005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 15*t**2 - 52*t + 322. Let l(v) = -2*v**3 + 20*v**2 - 19*v + 16. Let x be l(9). What is the hundreds digit of k(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.3, -5, -22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196176439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.455286\nAnswer: -1.821144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14\/3*2997\/(-2331)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 43662.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17775059 to the nearest integer?\nAnswer: 4216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/11 + 20\/22*(-11 - -5). Let f(o) = -o**2 - 3*o + 17. What is f(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31498\/22995 + 12\/2555. Find the common denominator of h and 131\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 131 + 37. Suppose -15*m + 489 = a. Let k = m - 10. Solve 0 = 5*s + 4*h + k, -4*h - 4 = 2*s - h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -163, -161, -159, -157?\n\"Answer: 2*u - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -1\/2*i**2 - 4*i - 2. List the prime factors of g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5 + 173561*b**3 - 27552*b**2?\nAnswer: -60*b**2 + 1041366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8884726 - -2.8115346. Let h = 3.7 - z. Round h to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*l - 49248 + 49248.\nAnswer: 41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32093523.\nAnswer: 3, 7, 11, 43, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 21 = -g, -5*g - 245*s + 15 = -247*s. Sort 4, g, 19 in decreasing order.\nAnswer: 19, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1681 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:39 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -38.854 and 16.\nAnswer: -22.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 856872949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*r + 275224 + 1521529, 0 = 5*r - 5*l - 1796735. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**4 + 3*u**4 + u**4 + u**4 - 3 + 3 - 2*u**4 + 2*u**4 - 2*u**4 + (-2*u**4 - 1 + 1)*(-4 - 1 + 3) + (-17*u + 8*u + 10*u)*(-3*u**2 + 2*u**3 + 3*u**2).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:25 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53602 is divided by 1140.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 19 = -s, 44*s - 5*y = 46*s - 28. Which is the closest to s? (a) -0.1 (b) -0.4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let u(n) = n**2 - 2*n - 8. Let d be u(4). Which is the nearest to -2\/5? (a) -2 (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63737719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100000011010110111 (base 2) to base 3\nAnswer: 20202011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/25)*o**(-1\/6) assuming o is positive.\nAnswer: o**(-13\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-3 - -8) - 4. Suppose -3*i + 1355 = -169. Suppose 0 = l*j - 2*h - i, j - 82 - 166 = -h. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 8d8?\nAnswer: 8d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27783 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7586*p + 18 = -7583*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -110*x**2 + 233*x**2 + 4*x - 98*x**2. Let a be q(-3). Is a bigger than 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.223 - 0.22904. Round j to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18067773 is divided by 834.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77826 is divided by 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d**2 + 302*d + 300. Determine s(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(-40 + 40 + 97*l - 3*l + 0*l + l + (-2*l + 0 + 0)*(0 + 0 + 1)).\nAnswer: -93*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -1484*x**2 - 343*x**4 + 65*x - 135*x**5 + 50 + 70*x**3 + 1033*x**4 + 744*x**2 = 0. Calculate x.\nAnswer: -1, -2\/9, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 11*w - 17. Let o be j(2). Let k be 10\/14*o\/55. Which is the closest to -5? (a) 5 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 175*k - 174*k, 4*i - 2*k + 140292008 = 0. What is i rounded to the nearest one hundred thousand?\nAnswer: -35100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*s**4 - 17*k**3 - 692*k**2*s**2 - 142*k*s**5 - 2*s**3 wrt s?\nAnswer: 48*k**3*s - 8520*k*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3863 (base 11) in base 8?\nAnswer: 11646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3498, 3514, 3540, 3576, 3622, 3678, 3744?\nAnswer: 3820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:02 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12383\/(-116))\/(-61)*4*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 10*x = -2002. Let u(k) = -293*k**2 + k + x*k**2 + 6 + 151*k**2. Suppose 5*c = 5*w + 25, -2*c + 5*w = -4*c - 25. Give u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) - (-30)\/9. Solve b*r - 4 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -5*j**2 - 1\/84*j**4 + 1\/210*j**5 - 1\/735*j**7 + 0 + 0*j**3 + 0*j + 1\/420*j**6. Factor v(u).\nAnswer: -2*u*(u - 1)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18 = -0*o + 2*r, 2*o - 3 = -3*r. Let k be o*((-9)\/6)\/(-3). Solve -k*d - 23 = -8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1282766204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667132 to the power of 1\/2, to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 597, 592, 583, 570, 553?\n\"Answer: -2*x**2 + x + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -19918*j. Let q(x) = 4*x**2 - 413*x. Give z(q(a)).\nAnswer: -79672*a**2 + 8226134*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443658 is divided by 62?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1314800124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6*s = 2*s + 18, 4*a = s. Let o = -4 + 7. Calculate the least common multiple of a and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = -7. Let j = o + 3. Suppose d = 3*g - 45, 0 = g - 6*g + j*d + 74. Calculate the remainder when 62 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((18\/7)\/(-3))\/(2 + (-10502)\/5250) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/4 + 4*v**3 + 18*v**2 - 3140*v. Find m, given that g(m) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 267 = -123*p + 141*p, 3*p + 50 = 5*x for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 7*z**2 + 3*z - 6. Calculate o(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*r = 204, 2*r = -4*a - 3*r + 405. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n - 3. Let i be r(-3). Let f(q) = q + i - 10 + 6. Give f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196889\/31 >= 6350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477261513?\nAnswer: 3, 19, 919, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) -4\/11 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -8*d**4 + 150*d**3 - 754*d**2 + 450*d + 162 = 0.\nAnswer: -1\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(19\/2)\/(64\/(-32))?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(96) + (sqrt(96) - 2*sqrt(96)*-6))\/(sqrt(18)*-2*-4).\nAnswer: 25*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 38651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200370\/39000 + -5 - ((-96)\/200)\/(-6)?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130660 - 83429 - 131537 = -61*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, 3, 17 in ascending order.\nAnswer: -5, 2, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 20 = -4*t, 4*t = 4*s + 6*t + 10. Suppose -2*k = 3*q - s*k - 32, q - 3*k = 29. What is the remainder when 81 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177 or 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6888605324?\nAnswer: 2, 41, 42003691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 11) in base 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 4*z - 2*z)*(32313 - 16171 + 2327*z - 16149 + 1284*z) to k*z**2 + h*z + y and give k.\nAnswer: -10833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 826479.2kg?\nAnswer: 826479200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -23*n - 98. What is t(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 23 = l - s, -3*l = 5*s - 30. Suppose -24 = l*c + 21. Let v = 13 + c. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 + 4712*y - 56091. Calculate a(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 15 = -w + 2, 0 = -4*b - 5*w - 17. Let l = b + 0. Suppose 0 = -2*x + 8, -2*v - x = l*x - 110. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.14 (b) 3 (c) 2\/13 (d) 1.8 (e) 2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73941, -73753, -73439, -72999, -72433?\n\"Answer: 63*g**2 - g - 74003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14192 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 142534 = -6055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let c(w) = -4*w + 4 - 4*w**3 + m*w - 5*w**2 - w**2 + 5*w**3. Suppose -3*g + 10 = 2*s, g + 2*s - 22 = -4*g. What is c(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = a - 7, -11 = -3*j + j + a. Suppose -5*q + 20 = 5*b, 2*q + 2 = -j*b - b. Solve 6*t = 3*t + q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/(-216) - 43778\/(-4770)?\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpmksokokomsjsm. Give prob of sequence jk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252587.8 litres in millilitres?\nAnswer: 252587800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 3*g - 6. Let b be q(5). Suppose 3*y - o - 5 = 0, 4*y + b*o - 2*o = 0. What is the remainder when (17 - (1 - 2))*y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttttddd. What is prob of sequence tr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000286452 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2883*r**3 + 10*r**2 - 40*r - 3358. Let b(m) = -m**3 - 2*m**2 + 8*m + 1. Let l(j) = -5*b(j) - w(j). Find the first derivative of l(n) wrt n.\nAnswer: -8634*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -13*k. Let h(v) be the second derivative of 0*v**2 + 0*v**3 - 56*v - 1\/3*v**4 + 0. Calculate h(i(t)).\nAnswer: -676*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 3:33 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1409*z - 435357. Determine v(309).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 6, s: 2, b: 3, x: 5, j: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 115872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - ((20 - (46 + -17)) + (70 - 0)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 3476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w - 10 - 1 + 16 + 22 - 2*w.\nAnswer: -12*w + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1335*n**2*o**2 + 182379*n**2*o*p + n**2 + 1121*n*o**2*p**2 - 5*n*o*p**2 + p**2 wrt o.\nAnswer: -2670*n**2 + 2242*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*-0.124.\nAnswer: 2.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 8007.\nAnswer: 8009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 105 - 69. Let h = 48 - d. What is the remainder when 116 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6872\/57 or -122?\nAnswer: -6872\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4563 + 4564 = -180*o - 186*o - 5879 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 142635.77 and -0.31878873.\nAnswer: 142635.45121127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:48 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = 3*u - 2*p, -u = -3*p + 5. Let o = -13 + 11. Let x be o\/(-24)*(4 + -2). Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -33, -2, 6, -6 in decreasing order.\nAnswer: 6, 2, -2, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.84 times -4?\nAnswer: -131.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.39 + -7.390000437. What is v rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gogfoffffsfffffffsos. Give prob of picking 3 o.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 + h - 3*h + 13*h**2 + h**4 - 12 + h**3 - 22*h**2 to y + t*h + j*h**2 + x*h**3 + d*h**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 382571 less than -25.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 23. Sort 4, s, 4\/3, 0.\nAnswer: s, 0, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s**3 + 73*s**4 - 12*s**3 - 1 - 571*s**2 + 569*s**2 in the form v*s + b*s**3 + d + x*s**2 + h*s**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + ((1*sqrt(500))**2 - sqrt(500)) + sqrt(500).\nAnswer: 10*sqrt(5) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 + 77*y + 181. What is x(-19)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121030 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-12)\/9 - (-32)\/12. Let x(w) be the first derivative of 4\/15*w**5 + 0*w - 1\/6*w**2 + 2\/3*w**r - 2 - 3\/4*w**4. Factor x(m).\nAnswer: m*(m - 1)**2*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, -5, 0.3 in decreasing order.\nAnswer: 3, 0.3, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 25, -13*i + 10*i + 531 = 3*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s = -69*s - 6*s + 864 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2\/2 - 810*j + 65610.\nAnswer: 5*(j - 162)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.02 (b) 0.5 (c) -55 (d) -2\/41 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 792358035 to the power of 1\/2, to the nearest integer?\nAnswer: 28149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.3578756 months?\nAnswer: 0.0001131563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 633614*t + 633612.\nAnswer: 2*(t + 1)*(t + 316806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 0.56. Let n = -3.94 - t. Is 1 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/120 + v**5\/30 - 29*v**4\/24 + 7*v**3 - 186*v**2 - 1. Factor y(n).\nAnswer: (n - 3)*(n - 2)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.663705 to two decimal places.\nAnswer: 20.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 10:15 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2\/5 - 208906*u + 2089052\/5 = 0.\nAnswer: 2, 522263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 377 + -366. Let l(j) = -j + 6. Calculate the least common multiple of l(0) and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/63 and 20\/49.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1202 is divided by 307?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61706600 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*q + 35 - 3 = 0, -11720 + 11725 = 5*q for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 13. Let s(i) = -3*i - 17. Let n(u) = 4*q(u) + 3*s(u). Let h = 8 + -5. Suppose -h*k - 2*r + 12 = k, -4*k = -3*r - 22. Determine n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 104*c**2 - c - 5. Let d be a(-5). Let v be (d\/(-12))\/((-1)\/(-3000)). Round v to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21868, -38711, -55554, -72397, -89240?\nAnswer: -106083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjpppfpffjfff. Give prob of picking 2 p.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8468 take away 23330611.6?\nAnswer: -23330615.4468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 60 = -4*y. Sort y, -5, 4, -1.\nAnswer: -5, -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-234)\/(-63))\/(-13))\/(4\/(-112))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)\/(s**(1\/2)\/s))**(-13)*((s\/s**(-1))\/(s\/(s*s\/(s*s**(-6))*s)))\/((s*s*s**(-4))\/s**(-2)) assuming s is positive.\nAnswer: s**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - -74. Let h = z - -45. Let p be (-2)\/((28\/6)\/h). Sort -5, -2, 4, p.\nAnswer: -5, p, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04739196159434 - -4?\nAnswer: 3.95260803840566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27565506 divided by 18\nAnswer: 1531417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(-7\/6)*g)*g))**(-8\/5)\/(g**(-14)*g\/(g**14*g)) assuming g is positive.\nAnswer: g**(448\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1676 + 2215. Are 539 and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21760075 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-1)\/(-3)) + 5. Suppose 96 = 5*n - 29*n. Sort 1, b, n, 5 in ascending order.\nAnswer: n, 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d3c + 4d?\nAnswer: -4ccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 4236?\nAnswer: 29652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h - 3 = 0, h - 8 = -3*f. Suppose 6*y - f*y = -4*k + 58, k + 5*y = 23. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {x: 3, j: 10, c: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 3 (c) -16.65 (d) 4\/7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3959, -8312, -12667, -17024?\n\"Answer: -k**2 - 4350*k + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160640 is divided by 347.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/20 + 5*h**4\/24 + 2*h**3\/3 + 4*h**2. Let s(d) = -7*d**2 - 10*d - 8. Let l(v) = 4*s(v) + 9*t(v). Give l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.4627?\nAnswer: -0.04627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9699 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**3\/3 - 25*m**2\/2 - 24*m. What is u(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -45, -49, -43, -21?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 45, 60?\n\"Answer: 15*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Let m = 25597 - 25601. Which is the second smallest value? (a) -1\/5 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.033 - -42.967. Let q = 42.9999465 - t. What is q rounded to 6 decimal places?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95347*f*o**2*r**3 - 2*f*o**2*r**2 - 2*f*o*r**3 + 2*f*o*r**2 - 16*o**2*r**2 + 2*o*r**3 - 4*o*r wrt r.\nAnswer: 572082*f*o**2 - 12*f*o + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 20 = 2*i, 5*i - 4*i + 3*w = 12. Suppose 3*c = 3*y - i, -4*c - 3*y = -y + 6. Does 8 divide (20 - c) + (1 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 - 6*k**2 - k + 2. Let c(q) = 12*q**3 - 19*q**2 - 4*q + 7. Give 2*c(m) - 7*f(m).\nAnswer: -4*m**3 + 4*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-5)\/(-10)*2*2. Let g be (0 + (-8)\/14)*y\/8. Sort -0.5, g, 1\/3, 2\/3 in ascending order.\nAnswer: -0.5, g, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.81 - 5.8162. Let y = p + 0.1062. Let u = 0.228 - 0.28. Sort 2\/3, y, u.\nAnswer: u, y, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -4*f - 82. Does 24 divide (-1444)\/(-10) - f\/(-130)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 82549*a**2 - 975 + 3*a**3 + 82549*a**2 + 2*a.\nAnswer: 3*a**3 - 975","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5 - 32*x + 5 + 34*x. Let m(i) = -4*i**2 - 2*i. Let t(a) = -a. Let v(z) = m(z) - 2*t(z). Give b(v(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 60874372 to the nearest 1000000.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + (-4 - (10 + -6 - 23))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*k - 126, 167 = 4*a + 5*k - 2*k. Find the third derivative of -85*p**2 - 23*p**4 + 40*p**2 + a*p**2 wrt p.\nAnswer: -552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13 + 12)*-4267)\/(1 - 0) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56435183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -11*j**8\/21 + j**5\/30 - 247*j**4\/8 + 34*j**2 - 5*j. Find the second derivative of c(k) wrt k.\nAnswer: -3520*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5381856*x**3 - 8501824*x.\nAnswer: -32291136*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10560 and 60302.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 3156846.\nAnswer: 15784230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -514\/471?\nAnswer: -514\/471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011111 - 100?\nAnswer: -110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2684\/143223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**2 - 19*p + 7. Let b(k) = -2*k**2 - k + 1. Let l(w) = 2*b(w) - j(w). Let m be l(5). Let h = -149 - m. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1977 + -0.0453. Let k = 0.040876 + 0.203334. Let h = t + k. What is h rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -907, -2\/7, -0.4, 5.\nAnswer: -907, -0.4, -2\/7, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 10*x**3\/3 - 5*x**2\/2 - 2*x + 1. Suppose -15 = -3*y - 0. Is t(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 8*u + 8. Solve -u*s = 2*o + 14, 6 = 3*o - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 2. Is 4\/(1\/(-18)*t) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 20. Let r = g + 4. Let q = -9.9 + 10. What is the closest to q in 0.1, -4\/5, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9000 and 187\/2880.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, d: 7}. What is prob of picking 3 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 12:54 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 775.27ml in litres?\nAnswer: 0.77527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + -3. Let b(r) = -r**2 - 36*r + 116. Let a be b(-39). Do g and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -661209\/7 - -94461. Find i, given that -15\/7*i**3 + 0 + 3\/7*i**4 + 0*i - z*i**2 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 435\/518, -2\/9, -3 in decreasing order.\nAnswer: 435\/518, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.6 and 276.\nAnswer: 2925.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 4, 67, -7918, 1 in descending order.\nAnswer: 67, 5, 4, 1, 0, -7918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 14*q**2 - q + 3. Let i be l(6). Suppose -v + 258 + i = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 8*v**2 + 10*v - 2. Let d be l(-9). Let t = d - 10. Let b = 41 + t. Calculate the smallest common multiple of 10 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*y + 172*y + 5700 = -177*y + 738*y for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -694 + 695. Put w, -80, -3, 4 in ascending order.\nAnswer: -80, -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 44430867.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f + 2*f)*(-1 + 2 - 2) + (3 + 1 - 6)*(-69 + 69 + 31*f) - f - 5*f + 3*f + 4*f - 5*f + 3*f + (2 + 2 - 6)*(-2*f + 4*f + 0*f).\nAnswer: -70*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m + 40. Let a(o) = -5*o - 74. Let u(z) = 4*a(z) + 7*j(z). What is u(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -574 + -10?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**3*f**3 + 15*a**3 - 334204*a*f**5 - 215*f**2 + 17*f + 2 wrt f?\nAnswer: -36*a**3 - 20052240*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1\/2))**(-18)*x**(-7)*x**(2\/19)*(x\/(x*x\/(x*x**(1\/3)*x)))**31*x**(1\/3)\/(x**(-2)*x) assuming x is positive.\nAnswer: x**(500\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 18 = -x - 3, 2*i - 45 = -3*x. What is the remainder when x is divided by (-10 + 14)*(4 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 0.038177.\nAnswer: -18.961823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l + 283. Let j be i(-16). Solve 3*s + 4*q + 13 = -j, 5 = -2*s + q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 5*y**2 + 5*y - 5. Let w be s(3). Let j(m) = 139*m**2 - 12*m + 9. Is j(w) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/615919801 or 0?\nAnswer: -2\/615919801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -37*f - 6. Let k(w) = 169*w - 839. Let p be k(5). Let u(g) = 3255*g + 527. Calculate p*u(x) + 527*q(x).\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = 10. Suppose 3*n - 4*n + 3*d + 31 = 0, 2*d = s*n - 93. What is the remainder when n is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20388680 is divided by 14904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g - 13*g + 29*g - 9*g. Let f(v) = -6*v**2. Give a(f(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 - 11 - 5 + (3 + 0 - 2)*(-3 + 7 - 2) + 1 + 0 + 0)*(-5*n**2 - n**2 - 4*n**2).\nAnswer: 710*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 5) to base 9.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100000101110000011 + 110010?\nAnswer: 111100000101110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -17*i**3 - 2*i**2 - 3*i - 2. Let z be m(-1). Calculate the highest common factor of 64 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 59, 104, 157, 212?\n\"Answer: -i**3 + 13*i**2 - i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*-592.8\nAnswer: -1185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -2 + 0)\/1. Let y be (2\/(-6) - -1)*-9. Let f be 5\/4*y\/10. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 2229\/17. Let l = -490 + 1238. Let i = l - 749. Which is the second smallest value? (a) 1\/33 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2935*b**3 - 132*b**2 wrt b?\nAnswer: 17610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/11 (c) -5 (d) -2\/7 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 32 + 2*c + 33 - 60. Suppose 3*b - 24 = -b. What is the remainder when 32 is divided by q(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401 is divided by 692?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 12) in base 6?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4 - 2) + -1)*3. Suppose -t + 13 = x. Suppose 2*c = -2*u + t, 4*u - 1 - 14 = c. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8404980*k - 42024919. Calculate x(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 + 2.95. Let k = 138 + -419\/3. What is the closest to p in -3\/2, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 6 = -24*j. Suppose 2 + 4 = j*i. Solve 0 = -q - 0 - i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 96270210532.294?\nAnswer: 96270210532.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 835597 (base 10) to base 12\nAnswer: 343691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2563653\/323 + -7937. What is the third smallest value in -0.2, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-188 + 6 + 70)*(2*j - j + j)*(-6 + 7 + 7) to t*j + r and give t.\nAnswer: -1792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 735 and 25830?\nAnswer: 180810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-97)\/((-1)\/7 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-119)\/13 - (-3)\/(-3). Let r = 979\/26 + q. What is the common denominator of -7\/3 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/5 - 240*u**2 - 1197*u\/5.\nAnswer: -3*u*(u + 1)*(u + 399)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1968\/13 - -5930\/39. Suppose -13 = -4*t + q, -7*q + 19 = t - 2*q. Put 0.6, i, t in ascending order.\nAnswer: 0.6, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -7*s**4 + 54*s**3 - 75*s**2 + 16*s + 12 = 0.\nAnswer: -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:44 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 1, o: 1, g: 1, r: 1}. Give prob of picking 1 g, 1 k, 1 o, and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*p - 7*j + 2*j, -2*j + 98 = 3*p. Suppose -2*b - 5*i + 16 = 0, b + i = 4*i + p. Let a = 137 - 137.1. Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -0.11 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*r)*(-4 - 2*r + 4) + (r**2 + 3*r**2 - 2*r**2)*(1 - 3 + 1))*(-4*r + 4*r - 2*r**3).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493330564.\nAnswer: 2, 123332641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97562104, -97562108, -97562112, -97562116, -97562120?\nAnswer: -97562124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 129*a**5\/20 - 43*a**4\/3 + 73*a. Find the third derivative of o(b) wrt b.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 351 - 2601?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*g - 18. Suppose -2*d + 2 = -0*d. List the prime factors of 8*(-3 + d + g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*w - 33 = -w, -2*w + 21 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3551555 + 513?\nAnswer: 3552512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47 - 28*n**3 + 2*n**2 + 628*n - 574*n + 1747*n**3 + 0 wrt n?\nAnswer: 10314*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 6. Let l = s + -1. Let j be (-58)\/14 + (-4)\/(-3)*3. What is the third biggest value in 0.4, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -425, -677, -929, -1181?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7752.0507 to the nearest 10.\nAnswer: 7750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -2\/23, -39, -1\/10, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71043895 and 2691.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/11, -1\/8, 0.5.\nAnswer: -0.2, -1\/8, 2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:11 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -58, -104, -134, -148, -146?\n\"Answer: 8*p**2 - 70*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*t + t + 4, -4*t - 8 = -4*f. Suppose 4*s - 8 = -t. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 534*f + 3 - 619*f to r*f + n and give r.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*26\/273*(-72)\/(13 + -5). Let p(r) = 2*r + 2. Let f(j) = j + 1. Let z(q) = -q**3 - 9*q**2 - 6*q + 6. Let t be z(-8). Calculate o*p(m) + t*f(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 9) + (1 - -1). Let x(t) = -2*t - 1. Let c be x(n). Suppose 10 = 5*i, -c*w + 4*i + 23 = 3*i. Solve 4*s - 11 = -3*u + w*s, -4*s = -u + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1861438\/277 - -6720. What is the nearest to -8 in -3\/2, 1, x, -3\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3581 - 0.0081. Which is the nearest to -4? (a) z (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 3)*(-44*v + 27*v - 56*v) as l + k*v and give k.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 62. Solve -v + 0*v - 4 = -c, -4*c = 2*v - w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(176))\/sqrt(4) - sqrt(44))**2*-5.\nAnswer: -3520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1024 + 1023.8918. What is o rounded to three dps?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2\/9*s + 2\/3*s**2 + 2\/9*s**3 - 2\/3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99956*x**3 + 70851*x**3 - 59963*x**3.\nAnswer: 110844*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1770, 7049, 12330, 17613, 22898?\nAnswer: 28185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11693651.\nAnswer: 41, 73, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**4 - 2*h - 4*h + h**4)*(4 - 6 + 1) as l*h**3 + i*h**2 + r*h + b*h**4 + c and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.1 - -41. Let k = f + -1.6. Which is the third biggest value? (a) k (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 253*q - 8*q**2 + 9*q**2 - 2555*q**6 - 18*q**2 - 256*q wrt q?\nAnswer: -306600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 130418679 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*r - 19899*r**2 + 29*r - 8958*r**2 - 14*r as d*r + c*r**2 + i and give c.\nAnswer: -28857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1172, 3868, 8360, 14642, 22708?\nAnswer: 32552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u + 16*u - 59*u + 2 - 53*u.\nAnswer: -75*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 66 = 190. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - t**2 + 6 - t**3 - 2 + 3*t. Let z = -337 + 333. Let k be m(z). What is the greatest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 0*d - 2*d)*(10 + 31 - 8) as a + m*d and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/6 (b) 23 (c) 1265 (d) -1 (e) 0.5 (f) -4 (g) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27426 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4253*w - 12849*w + 4294*w - 4*w**3 + 4302*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 56.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0 + 4. Let y = o - -8. Suppose 66 - 22 = y*p. What is the highest common divisor of 55 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -535694\/25, -5, 8.\nAnswer: -535694\/25, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/668 and -83\/272.\nAnswer: 45424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/7638 and 45\/536.\nAnswer: 30552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 54?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(3) + 0) - (sqrt(3) + sqrt(12)\/(sqrt(36) + sqrt(4)))).\nAnswer: -51*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 1995*p**2 + 983426*p + 1958880.\nAnswer: (p + 2)*(p + 880)*(p + 1113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + (85 - 6) + -49?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152650560 < 457951681\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 598 + -248. Let i = q - 209. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 10. Suppose 4*h + 0*h = a. Calculate the common denominator of 47 and (-1 - h) + (-287)\/35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 114, 271, 556, 1011, 1678, 2599, 3816?\nAnswer: 5371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/7 in -3\/5, 4, 543, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18093 = 138*l - 28157 - 17920. What is the highest common divisor of 992 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 6*h**2 + 0*h**2 + 8*h**2 + 5 as o*h + a*h**2 + m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/5*(-2)\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49 and 40\/105079.\nAnswer: 105079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 323916 and 2.251.\nAnswer: 323918.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 27 = 4*i. Let h(r) = -5*r**3 + 4*r**2 + 4*r. Let p(a) = -a**3 + a**2 + a. Give i*h(q) + 12*p(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/5 + 4*x**2 + 1520744*x\/5 + 3041392\/5 = 0.\nAnswer: -866, -2, 878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -315054461.39 - -1.\nAnswer: -315054460.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 - (-6 + -17 + 9 - 9).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-294)\/(-175)*(1 + 28\/(-8)). Suppose -6*c + 125 = -c. Let x = c + q. Let n(h) = h**2 - 3*h + 5. What is n(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*z - 267*z + 12*z - 118*z - 13*z + 359 wrt z?\nAnswer: -376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26190)\/(-776)*(-24)\/(-45)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let y(i) = 12*i**2 + 36*i - 36. Let m(u) = -u + 1. Let v(n) = 36*m(n) + y(n). Calculate v(g(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 5*x + 5. Let o(s) be the first derivative of s**2 - 2*s - 15. What is 5*o(j) + 2*q(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 34. Suppose 14 = 2*v - 3*j, -b*v + 38 = -2*v - j. Calculate the lowest common multiple of 2 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 92. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*188\/141*(-24)\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 320. Let s(w) be the second derivative of w**3\/3 + w**2 + 3*w. What is the remainder when d is divided by s(10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + 5 + -3 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 2*i**2 - 4*i - 5. What is the remainder when (-48)\/(-9)*3 + (-8)\/(-2) is divided by o(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*v - 1161 - 622 = -144 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 28. Is 4 a factor of n(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 5*g**2 + 11*g + 7. Calculate the remainder when k(5) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760373 is divided by 1451.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -362*0.2.\nAnswer: -72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (-16 - -22 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71548 by 698.\nAnswer: 35774\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*s = -174*s - 5*x + 10, -11*x + 22 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1368 divided by -168.\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000279 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70730, -70758, -70786?\n\"Answer: -28*q - 70702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3558, 3561, 3574, 3603, 3654?\nAnswer: 3733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 28 - 6*f)*((1 - 1 - 2)*(0*f**3 - 2*f**3 + 0*f**3) - 7*f**3 + 10*f**2 - 10*f**2) in the form i + u*f**3 + l*f + z*f**2 + s*f**4 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:39 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5393399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*j + 1170 = 244*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((1360\/51)\/(-20))\/(4\/27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4826 + -4740. Calculate the remainder when x is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 30*y**2 + 33. Let r(d) = 2*d**2 + 2. Let s(k) = -2*o(k) + 33*r(k). Let c(p) = 13*p. What is s(c(l))?\nAnswer: 1014*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 291713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -2*h + 5*b, -h + 2*h - 24 = -b. Suppose -26*u + h*u - 14 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 498 + -494. Suppose -r*z = -4, -5*z = -5*t + 35658 + 78012. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544421 + 1 + 1 + (-437 - -443) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-2)\/(-4) - 2. Let f = 15.09 - 0.09. Let p = 15.3 - f. What is the second smallest value in p, m, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.29 rounded to 1 dp?\nAnswer: 37.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -31, -43, -57, -73, -91, -111?\n\"Answer: -w**2 - 7*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1865220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -27*u + 126. Let o be d(5). Let n(w) = -w**3 - 9*w**2 + w - 5. Determine n(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 201 (c) 1 (d) -60 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 728.7131253?\nAnswer: 732.7131253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17298 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r**2 - r**2 + 2157*r - 2233*r)*(1 - 1 + r)*(-5 + 1 + 2) in the form b + q*r + c*r**3 + s*r**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a day in hours?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 - 2*x + 1. Let q be r(1). Factor 12 + 4*l - 7*l + 3*l**q - 4*l - 5*l.\nAnswer: 3*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juee when four letters picked without replacement from evhuhovvouujh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41357764 - 41357764 - 2*f**2 - 14*f.\nAnswer: -2*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8126059 is divided by 246244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*j + 8 = -2, -o - 5*j = -25. Suppose 5*r + 0*r = 3*n - 37, n - r - 13 = o. Let i = -11 + n. Is 0 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.123\nAnswer: 0.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -324*n + 154*n - 1 - 498*n - 57*n - 234*n as p + x*n and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2430*s + 2430*s + 3 - 21*s**2)*(2*s - 2*s**2 - 2*s).\nAnswer: 42*s**4 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*d + 10 - 1, d + 3 = -2*o. Calculate the remainder when 40848\/90 + o + (-4)\/(-30) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g - 1. Let y(w) = 8*w - 4*w - 5*w - 3*w + w**2 - 3. Let v = -6 - -8. Let f(z) = v*m(z) - y(z). Factor f(p).\nAnswer: (p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -171, -261, -351, -441, -531?\n\"Answer: -90*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64193?\nAnswer: 23, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1057902870 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.5708 times 11973\nAnswer: -18807.1884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5055, 10872, 16713, 22590, 28515, 34500, 40557, 46698?\nAnswer: 52935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*u - 0*x + 30, 11*x + 1 = 8*u + 14*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4637 * 2810\nAnswer: 13029970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6600253 millennia in months?\nAnswer: 7920.3036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 0.2 (c) -4 (d) -1 (e) 26 (f) 0.4 (g) -137\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0) + -5 + (-186)\/(-6). What is the highest common divisor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 44\/(-11)) + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1461296*k**3 + 1319526*k**2.\nAnswer: -8767776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57697?\nAnswer: 57697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58684 is divided by 53.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238 - -242. Let l(c) be the third derivative of 0 - 7*c**2 + 1\/4*c**u + 7\/120*c**6 + 0*c**5 + 0*c + 0*c**3. Find the second derivative of l(m) wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgwududdggwgdwgw. Give prob of picking 1 d and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2736)*1 + -3) + -1 + 3)**2*2.\nAnswer: -1584*sqrt(19) + 49490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 5*sqrt(70))*3)\/(sqrt(10)*5*-3).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251563.\nAnswer: 13, 37, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90467 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: Put -21, -20, -72 in ascending order.\nAnswer: -72, -21, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2316 times -0.4?\nAnswer: 926.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 p when four letters picked without replacement from {k: 7, p: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1173 + -10671?\nAnswer: -11844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135066815 divided by 12655?\nAnswer: 10673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5 - 339*t**4 + 13224*t**3 - 202968*t**2 + 935280*t - 745200 = 0?\nAnswer: 1, 6, 30, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*y**4 - 2*y**3 - 245*y**2?\nAnswer: 3216*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 764478484*n**3 + 2*n + 59755513?\nAnswer: 4586870904*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1 - 3*x**3 + x**3 + 3*x**3. Let c(l) = -3*l**3 - l - 1. Let p = 6 - 5. Give p*q(w) + c(w).\nAnswer: -2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2132 and 3068.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1539 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Let x = -10 - l. Let t = x + 15. Let s(f) = -f**2 + 5*f - 3. Calculate s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 2:45 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 108 = -16*x. Let v(t) = -t + 7*t - 11 - 13*t**2 + 5*t. Let c(i) = -6*i**2 + 5*i - 5. What is x*c(y) - 4*v(y)?\nAnswer: -2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q + 5*j - 107, -q - j - 4*j - 24 + 92 = -33 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/15 (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1815, -1823, -1831?\n\"Answer: -8*m - 1807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**7\/504 + 5*d**6\/144 + d**5\/4 + 3*d**4\/4 - 6*d**2. Let o(q) be the second derivative of g(q). Let o(r) = 0. Calculate r.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 834*r**2 - 2. Let a(z) = -7199*z. Calculate y(a(k)).\nAnswer: 43222551234*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-9) + 38\/3. Suppose -2*l + s - 8 = 6*s, -3 = -5*l - s. Solve -r = -4*h - l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**3 - 37*i**2 + 37*i**2 - 4*i**3 + 3*i**3 + 2*i**3 + (2*i**2 - 3*i**2 + 0*i**2)*(i - i - i) as b*i + n*i**3 + d*i**2 + z and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:33 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 5*k - 3, -4*u + 2*k - 5*k - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 878 - 886 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29646969017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27226, -27216, -27210, -27208?\n\"Answer: -2*y**2 + 16*y - 27240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 25) + -6 + (19 - 2 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven eighths of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 11*u - 18. Let x be l(-5). Differentiate -10 + 4 - x*f**4 + 16 wrt f.\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13*j**2. Let c(m) = 157*m - 4. Give f(c(s)).\nAnswer: -320437*s**2 + 16328*s - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/67 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59106 = -626*y + 3095*y + 21322 - 56038 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 26 + 10)*(s**3 + 2*s**4 - s**3) - 2*s + 2*s + s**4 + (s**2 + 2*s**4 - s**2)*(-1 + 0 + 0).\nAnswer: 65*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*p - 15*p + 2975. Calculate the common denominator of 32\/(-10) - (-2 + 1) and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 548920 divided by -5.\nAnswer: -109784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/20258, 0, -109?\nAnswer: -1\/20258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4 (c) -2 (d) -204 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 20*y**2 - 3. Calculate z(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712 <= 186823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-10)\/a*a)\/a**(-4\/7))\/((a*a*a*a**1\/a*a*a)\/a)**(-5) assuming a is positive.\nAnswer: a**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (-3 - -2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u + 12, 4*y + 5*u = -8. Let w = y + -5. Let k be (4 - w)\/((-18)\/(-4)). Which is greater: k or -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30710 is divided by 957?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*w + 13, 2*w - 2*h + 10 = 32. Suppose w*d - 10 = d. Suppose j - 5*u = 22, 3*j + j - d*u = 178. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q + 0*q**5 + 5\/6*q**6 + 0*q**2 + 0*q**4 + 4 - 5\/3*q**3. What is the third derivative of c(m) wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 6*z**2 + 4*z - 1. Let r be w(-5). Solve -24 = 4*u + r*p - 0, 2*p = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(147) + -3 - sqrt(147)) + 2 + -4)**2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 68331144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0.1, 2\/7, 4, -95 in decreasing order.\nAnswer: 4, 2\/7, 0.1, -16, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15636763 (base 9) to base 2\nAnswer: 11101110100111110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3*w - 4*w)*(-3*w + 0*w + 0*w)*(0*w**2 + 0*w**2 - w**2) - 2*w**4 + 10*w**4 + w**4.\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*((-8)\/6)\/((-24)\/18). Let u(r) = l*r - 18*r + 8*r + 5*r. Let n(y) = -4*y. Calculate u(n(z)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-215)\/((-1)\/(-8)*-2). Let j = y + -6063\/7. What is the common denominator of -30 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1369 - 1373. Sort -1, 35, q in descending order.\nAnswer: 35, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -11. Suppose -v = -a + g - 0, -3 = a. Let m(s) = -2*s + 1. Calculate m(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8138294 and 1928390?\nAnswer: 4882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6554 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**37*a*a**41 assuming a is positive.\nAnswer: a**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 0*c + 6*c)*(41 + 42 - 41 + 2*c) + (5*c + 0*c - 3*c)*(1 - 1 + 2*c) in the form g + y*c**2 + v*c and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.2, -3, -1.776, -1\/7 in ascending order.\nAnswer: -5, -3, -1.776, -0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + 0 + (2 - 0). Let b = 801 - 322. Let s = b + -479. Solve c + 2 = s, -4*k = -c + 2*c - q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.03 (b) -1 (c) -7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 3103 (b) 4 (c) 1\/123 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/6, 50, -1\/2, -0.10782?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*d + 15, 0 = 4*c - 2*c + 4*d + 14. Let z be 19 - (3 - 2) - c. Let y = z + -10. What is the greatest common factor of y and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*d - 22 = -3*d, 2*a - 22 = 4*d for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 2, t: 10, w: 2, g: 1, j: 2}. What is prob of picking 1 j and 1 w?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*r + 2 = 0, -3*o + 0*r + r = 4. Put -271, 1\/3, o, 2 in decreasing order.\nAnswer: 2, 1\/3, o, -271","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m - 2259. Let l(k) = 17*k + 1. Determine l(g) - 3*r(g).\nAnswer: 17*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, 0, -6, -26, -66, -132, -230?\n\"Answer: -c**3 + 2*c**2 + 3*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -444 > -114860\/259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - sqrt(68)*1*-1)\/(sqrt(4) - (sqrt(64) + (sqrt(64) - (sqrt(64)*2 + sqrt(64))) + sqrt(4))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (200\/(-20900))\/((1\/3)\/(99\/(-27)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-3 - (-6 - -17))) + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 178536100 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202201101000000102 + 0?\nAnswer: 202201101000000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 343195 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {d: 3, q: 17}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24720668 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2033*f*j**3 - 3*f*j + 270*f + 8*j - 1 wrt j?\nAnswer: 12198*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -30 + 1\/4*o**4 - 1\/2*o**2 + 0*o**3 - 26*o. Determine x(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 - 0.9. Let o be ((-4)\/15)\/(4\/(-6)). What is the second smallest value in o, b, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*b + y, 3*b + 5*y - 3*y - 6 = 0. Suppose -14 = -b*z + 6. Suppose -c = -4*d - z*c + 400, -2*c + 402 = 4*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -45*v**3 + 2*v**2 + 3*v. Calculate the remainder when 115 is divided by i(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*i - 3, -4 = -2*i - y + 5*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4 + 3 + 8*v - v. Let m(n) = -n**3 - 2*n**2 + n - 3. Let i be m(-3). Is 10 a factor of l(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 424679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/44061? (a) 5 (b) 0.5 (c) -24 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b = -73 - 375 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92299\/8 + 11550. Calculate the common denominator of j and -107\/16250.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/7140 and -29\/1680?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811119 is divided by 2993.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -344961, -344795, -344629, -344463, -344297?\n\"Answer: 166*a - 345127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 5*b**2 - 110*b + 37. Give v(18).\nAnswer: 2269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, 0, 7.664?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*b + 4*o, 0*b - 2*b + 2*o = 8. Let q(w) = w**3 + w**2 - w + 37. What is the remainder when q(b) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahfghmh. What is prob of sequence ga?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:15 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -15*f**2 + 17*f + 38. Calculate k(-3).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4\/5 + 63*k**3\/5 + 462*k**2\/5 + 648*k\/5 = 0. What is k?\nAnswer: -4, -2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -35. Let n(c) = 3*c - 5. Let s be n(4). Let b(z) = 2*z - 4. Let v(d) = -4*d + 9. Determine r*v(u) + s*b(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6190956 to the power of 1\/2, to the nearest integer?\nAnswer: 2488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 2 (c) -22.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -715.3? (a) 1\/6 (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**3\/s))\/(s\/s**(2\/11))*s**(-8)*s**8*s)**(-30) assuming s is positive.\nAnswer: s**(-60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:50 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.5 * -0.6.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-219)\/6)\/(-1))\/(3\/(-6))*(-1139)\/1139\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -455516493\/1240 + 367353. Let s = -33\/31 + u. What is the common denominator of s and -41\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 6*g**5\/5 + 19*g**4\/4 + 7*g**3 + 9*g**2\/2 + g - 144. Suppose x(n) = 0. What is n?\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4268168, -4268183, -4268206, -4268237, -4268276, -4268323?\nAnswer: -4268378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*h = 3198*h - 170496 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -g + 37 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 182*m**2 - 44*m**2)*(-2 + 1 + 4).\nAnswer: 402*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 3. Let k(h) = 4*h - 5. Let r(w) = -3*k(w) - 5*n(w). Let z(o) = -14*o. Calculate z(r(d)).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (656\/(-12))\/4 + 4\/(-12). Let k be (4 + g)\/(2 - 4). Let f(a) = a**2 + a - 3. Let z be f(-3). Solve 4*n - 2*s + 3 + z = 0, -18 = k*n + s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232168.\nAnswer: 2, 3, 17, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l**2 - 6*l - 3. Let f be j(-2). Let d = f - 23. Calculate the remainder when d is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5978)\/1281*((-1)\/2 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*u**2 + 20*u**2 + 285*u**2 + 394*u**2.\nAnswer: 936*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57896849 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0968 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 7*j**4 + 2*j**2 + 0*j**4 + j as z*j**3 + t + k*j**4 + r*j + v*j**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -257, -382, -507, -632?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 2:42 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77140 = -104*y + 111*y. What are the prime factors of y?\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10504.6 + -5.\nAnswer: 10499.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 d when three letters picked without replacement from mmgmegdgvmdggmvdmg.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -61315?\nAnswer: -61311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 6*i**2 + 4*i + 2. Let r(z) = 2. Let k(d) = 3. Let a(h) = 3*k(h) - 4*r(h). Let s(j) = -4*a(j) - o(j). List the prime factors of s(4).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 4370*d**2 - 562527*d + 17844624.\nAnswer: (d - 63)**2*(d + 4496)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/70338884 and 75\/1034?\nAnswer: 70338884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0 + 0)*(-2 - 2 + 2)*(-19 - 3 - 8)*(-15 + 1 - 5).\nAnswer: -2280*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84, -171, -272, -393, -540, -719, -936?\n\"Answer: -k**3 - k**2 - 77*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((4 + -4)\/2)\/1 - -74. Let t = f - 74. Let s = 2.7 - 0.7. What is the second biggest value in t, -12, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 20221*n - 20151*n - 20209*n + 0 + 60575*n + 3.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47537 + -47536.9956378. Round x to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/120 and 61\/615.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.12, -7, 0.1 in decreasing order.\nAnswer: 0.1, -0.12, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138.4 - -134.4. Let x = -0.9 + 3.9. What is the biggest value in -0.1, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1266792406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69*(-4)\/20 + (-12)\/(-20)*-2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 1350*r - 1358*r - 2*r**3 + 5528*r - 1389*r - 1165*r in the form p + f*r + b*r**3 + y*r**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 6*d - 5. Let l be t(-6). Let g = 552 - 540. Let h = g - l. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 50 - 7. Let m = y - -94. What is the remainder when m is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86901, -86898, -86895?\nAnswer: -86892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79 + -10b?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -448 and 22967 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365 + -190. What is the remainder when z is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 821607 and 79806?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38311 is divided by 310.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20832995 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2 - 4911*j**3 + 9827*j**3 - 3*j**2 + 3*j - 4917*j**3. Give o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 609, 1386, 2469, 3858, 5553, 7554?\nAnswer: 9861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -23, -2, 37, 100, 193, 322?\n\"Answer: u**3 + 2*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 8*k - 93. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {j: 5, l: 1, y: 7, v: 1, t: 2}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3743 take away -4.2869?\nAnswer: -3738.7131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61508387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4*j - 45, 16 = 10*u - 8*u + 2*j. Suppose -4096 = -u*y + 12063. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 4 - 5) + -3 - (-3 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 4*a - 3. Let i be g(-5). Solve -3*d + 0*d = i*c + 23, -4*c + 9 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -27, -45, -65?\n\"Answer: -v**2 - 13*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rry when three letters picked without replacement from yryry.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b*b**(4\/5)))\/b*b**(-1\/5)*b)**(-2))**(1\/32) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + z + 38, 4*d - 31 = 3*z + 23. Suppose 0 = 2*s - 13 - 5. Solve 4*c - 2*m - d = -6*m, 2*c - s = -3*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 6595230*n**2 + 3624735110304*n - 21748648090752.\nAnswer: 3*(n - 6)*(n + 1099208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -85d446b - b?\nAnswer: -85d4477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070\/184463 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/3 - 158*o**3\/3 - 46928*o**2\/3 - 43528*o\/3 + 311520 = 0 for o.\nAnswer: -118, -5, 4, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/3109 + 108831\/24872. Find the common denominator of a and 116\/(-24) - (-2 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 145. Give r(-11).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29848, 119428, 268728, 477748, 746488?\n\"Answer: 29860*k**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*q + 29*q + 46*q)*(-2*q + 3*q - 5*q)*(-3*q**2 + q**2 + 5*q**2) - 18*q - 9*q**4 + 18*q to the form d*q + l*q**3 + u + x*q**4 + j*q**2 and give x.\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.3 - 5.3. Let x = -9 - -8.1. Let p = x + 1. Is w at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rccgggga. Give prob of sequence rcca.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*q**5 - 33*q**4 + 6*q**3 + 15*q**2.\nAnswer: -3*q**2*(q + 1)**2*(8*q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.04401 and 10\/15913 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 25 = 5*s, -3*q = -2*s - 75. Suppose q*g + 1623 = 26*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747227.6 rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1651+-0.04\nAnswer: 1650.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {m: 1, s: 1, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*s - s + 8524 = 0, 5*c - 10679 = s. What is the greatest common divisor of c and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 295 + -88. Is s a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/25 and 71\/3398895?\nAnswer: 16994475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/5, -8\/17, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404721 and 1713249.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -947 = -3*o + 4*p, -p = -o - 170 + 486. Let c = o - 306. Let t be 0\/(-1) - (1 + -3). Solve -t*x - c + 1 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t - 3*x, -3*x - 18 = -3*t - 0. Suppose 2*j - 4*j - 2 = 0, 4*r - j - t = 0. Find the first derivative of 4*d**4 + 3 + 0 + r wrt d.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -w - 3*q, w - 6*q - 15 = -7*q. What is the third derivative of -6*b**3 - w*b**3 + 21 + 24*b**2 - 21 wrt b?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 2. Suppose -5*x + 34 = 2*d - 1, -30 = -5*d - x. Suppose w - d*w = 16. What is the units digit of b(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*w + 3*h = -91*w - 22, -2*h + 20 = -w. Put -15, -5, w, 5, 0 in ascending order.\nAnswer: -15, w, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 2, 0, 37, 7, 4 in descending order.\nAnswer: 37, 7, 4, 2, 0, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39\/1 + -1 - 2. What is the greatest common factor of p and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**3 + 2*f**2 + 3*f + 1. Let u be (-129)\/(-172)*(-16)\/12. Give l(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 41*x - 422. What is the units digit of r(29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -2. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*d - 2 = 0, -3*d + 0*d + 7 = 2*t. Let c(l) = -2*l**2 + 3*l - l**3 - 2*l**2 - 2*l. What is c(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -9*l + 4*n + 956, 5*n = 4*l - 955. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-12)\/5)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 8:31 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (20 - -6 - 21 - -20)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 468.94\nAnswer: -5158.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -260\/673 in 206, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 1. Let v be t(-7). Suppose -3*s + v*s = 0. Which is the nearest to s? (a) -4 (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/19)*j)**(4\/3)*((j*j*j**(-2)\/j*j)\/j)**44)**38 assuming j is positive.\nAnswer: j**(-4880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -83\/288223 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 999986*t\/5 - 8999712\/5.\nAnswer: -2*(t + 9)*(t + 499984)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 19.43. Let s = -0.18 - d. What is s rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 13)*(-1 + 1 + c**2)*(c**3 + 7*c**3 - c**3).\nAnswer: -70*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 30, -1, 2, 5, -11 in descending order.\nAnswer: 30, 10, 5, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9931*j**5 + 2*j**3 + 256435*j?\nAnswer: -198620*j**3 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.5 + -5?\nAnswer: -67.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 505251331?\nAnswer: -505251325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 250381796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 46 = -2*j, 3*j = -12*y + 13*y - 60 + 12 - 21 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000212666 rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3228*s - 12907. Let m be a(4). Solve -m*l + 12 = 5*t + 7, -3*l + 3*t = 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (9\/3)\/(-3). Suppose -2*q + 3*q - 59 = k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by 294\/7 + (7 - -1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 419?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 5*x**2 + 6*x - 6. Let t be f(4). Suppose 0 = -0*m + m - t. What is the derivative of -6*r + 2*r**m + 2 - 4*r**2 + 6*r wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585\/8 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4689 = -11*n. Suppose 3*f - 4*w - n = 0, -3*f = -0*w - 5*w - 520. Is 27\/18 - f\/(-2) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3 + (-3)\/(-1). Suppose 3*y = -r*j - 4*j + 12, 0 = -3*y - 12. Suppose -25 = 5*k + 5*q, j*k - k - 4*q = 20. Solve -5*c = -k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59319 + 118638 + 1678*n - 59319.\nAnswer: 1678*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 0 - (5 + (0 - 2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -3\/7, 46, 0.2, -546, -2 in decreasing order.\nAnswer: 46, 0.2, -3\/7, -0.9, -2, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 8:30 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4427, -8802, -13191, -17600, -22035, -26502, -31007, -35556?\nAnswer: -40155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -32967, -4, 58, -1\/2, -0.1, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, -0.05175, 0.169?\nAnswer: -0.05175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5424)\/(-4320) + -5*21\/(-350)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 9?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 680 = 62*q - 20*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1.99.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150107929631 - 0.5.\nAnswer: -150107929631.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = g, 3*g + 5*c + 10 = 38. Let h(j) = -j**2 - j - 1. Let u(a) = 6*a**2 - 7*a - 8. What is g*h(z) - u(z)?\nAnswer: -12*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 3 + -2 + 3 - (115 + -75 + -50)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3*i = 319 - 349, -2*r = -3*i + 21 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 7. Let o(l) = -2*l + 4. Let z = -53 + 56. Determine z*r(q) - 5*o(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 208*g + 2. Let c(p) = 57*p - 1. Determine c(v(r)).\nAnswer: 11856*r + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*a = -17, 3 = -4*j + 3*a - 5. Which is bigger: -16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 184*r**2 - 7070*r - 54. Give i(38).\nAnswer: -3018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from rrrrdddrdrrrrdddddrd?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 2 + 3 + 27*r + 8*r**5 - 57*r**5 wrt r?\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 - 14*p**2 + 38*p - 45. Let x(w) = -2*w**3 + 10*w**2 - 25*w + 30. Let s(u) = 5*i(u) + 8*x(u). What is s(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 186586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.822 rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2016)*-1)\/(sqrt(72)*1))**2 - (-5 + sqrt(56)\/sqrt(8) + (sqrt(21) + sqrt(126)\/sqrt(6))\/sqrt(3))) + 0.\nAnswer: -3*sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94267779?\nAnswer: 3, 31422593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/28842 and 22\/291755.\nAnswer: 365860770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 - 181.99999883. What is b rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.6. Let r be 36\/45 + (9\/(-6) - 29\/(-20)). Put 0, 5, a, r in decreasing order.\nAnswer: 5, r, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 0.4 (c) -4\/7 (d) 8.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/2, 188, 0, 6, -0.4, -814\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -202 and 5.\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -e5 (base 15) in base 4?\nAnswer: -3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - 2*a)*(-42 - 17 + 19)*(60 + 2*a - 45 + 0*a)*(-1 + 3 + 3).\nAnswer: 800*a**2 + 6000*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(2*sqrt(9)))\/(sqrt(2) - (sqrt(200) - ((sqrt(200) - sqrt(200)*-1) + sqrt(200)))) + -1.\nAnswer: -1 + sqrt(2)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 44 + 8 = 0. Let k(z) = z**2 - 31*z + 65. What is the smallest common multiple of v and k(2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (0 + -5 - -1)) + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 11. Let n(b) = 7*b + 5*b + 11 - 10*b + 12. Determine -6*n(i) + 13*q(i).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2. Let f(p) = -4 + 4 + 103*p - 33*p + 76*p. Determine f(c(x)).\nAnswer: -438*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*g = 16, 2 = 100*z - 97*z + g. Solve 5*o = 6*u - 4*u - 28, -16 = -z*u + o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iee when three letters picked without replacement from eoioioeoiogoegegieo.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**3\/15 - 107*i**2\/5 - 43*i - 1090. Factor m(f).\nAnswer: (f - 215)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5390 = 3620*t + 1042 - 165 + 37173 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 - 9640*r + 1598000. Calculate s(158).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101088 and 8352.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101010 - -100?\nAnswer: 10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t - 11 = -5*i, 3*i + t - 5 = 0. Let d(g) = g**3 - 6*g**2. Let r be d(6). Solve -c - p + i = 0, -2*c - 3 = -r*p - 3*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 + 49*k - 58 + (-2*k + 2*k + 2*k)*(-1 + 1 - 2) to the form g + f*k and give f.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-42)\/(-6))\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200352605 is divided by 647?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4498585578 to the nearest integer?\nAnswer: 67071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2544, 10939, 24920, 44487?\n\"Answer: 2793*j**2 + 16*j - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 28*v**2 + 25*v + 12. Let u be h(-27). Solve -u = b - 64 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1750 = 14*w - 7*w. Is w a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)\/c)\/(c*c**(-5\/12))*(c\/(c**8*c)*c)**(-2\/11) assuming c is positive.\nAnswer: c**(-1361\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = -t + 20*p + 384, 0 = -3*t - p + 1248. What is the lowest common multiple of t and 276?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebbebblbblblelbbb. Give prob of sequence llb.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 3 + -4 + 0 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 216546*z**3 - 72189*z**3 - 72161*z**3 - 72186*z**3.\nAnswer: 10*z**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1, -1\/4, 189, -1305.4, -2\/3?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -9. Let l = u + 13. What is the least common multiple of 4 - 26\/(-4) - (-10)\/20*-1 and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:38 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -5216 and -5218 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r - 45*r - 30*r - 44*r to d + v*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 326237 and 984.\nAnswer: 7829688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 11:05 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*d**3 + 2423*d**2 + 260704?\nAnswer: 72*d**2 + 4846*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177835, 177834, 177833, 177832, 177831?\nAnswer: 177830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8694 and 11718?\nAnswer: 269514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 10010101111010011?\nAnswer: -10010101111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - k**2 - 5*k + 7. Let n be w(2). Let d be (-52)\/(-156) - (n - 5\/3). Let g be 1 - (7\/3 - 2). Which is greater: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**4\/8 - q**3\/6 + q**2 - 2. Let c(s) be the second derivative of k(s). Does 9 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*t + 21*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -630320*j**2*s**2 + j**2*s + 35*j**2 - 28*j*s - 2*j + 2*s wrt s?\nAnswer: -1260640*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(4\/16*-2). Let d(j) = -13 - j**2 + 13 + 0*j**y. Let o(l) be the first derivative of -l**2\/2 + 7*l + 1329. What is o(d(c))?\nAnswer: c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 6 = 3*p - 4*n, 0 = 3*p + n + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 37 = -10*r - 2*u, -2*u - 12 = -3*r. Suppose c = -2*c + 57. Solve -3*i - c = -r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1210200210102 (base 3) to base 16\nAnswer: -ea014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4739 is divided by 290?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -470*s + 3406. What is the tens digit of z(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 603\/16 - 599\/16. Which is the nearest to 158? (a) u (b) -1\/3 (c) 6 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t + 2*z = 0, -4*t - 40 = -2*z. Let w = 24 + t. Is 15 a factor of 372\/w - (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 5) in base 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-10))\/(102\/(-85)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1604468119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 60924378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1162.\nAnswer: -348.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t + 6. Let f(q) = -3*q + 2. Let c be f(-4). Let z(j) = -2*j + 1. Let i(k) = c*z(k) - 3*l(k). What is i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65390, 130786, 196188, 261602, 327034, 392490?\nAnswer: 457976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 + 276. Let l be (-1309)\/649 + 2 - 0. What is the second biggest value in l, 1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 12*n - 17. Let h be r(-12). Suppose 4 = 7*p - 10. Sort -1, h, p in increasing order.\nAnswer: h, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 9*p**2 + 2*p - 9. Let m be n(-3). Let f = 6 - 3. Let w = f + m. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -45*w**3 - 92*w**2 + 41*w + 29. Give u(-3).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 26076691 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.48 - 94.38. Let m = -65 - w. Let u = m + -17.8999887. What is u rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let h(p) = 2*p - 8*p - 3*p + 4. Let b(m) = 5*g(m) + h(m). Let y(q) = -23*q + 23. Let r = -104 + 70. What is r*b(l) + 6*y(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -524365*q**5 - 5718*q - 32 wrt q.\nAnswer: -10487300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Let h(j) = -9569*j - 2. Give k(h(f)).\nAnswer: 19138*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -53856586*d. Let p(h) = -h**2. Give p(u(k)).\nAnswer: -2900531855575396*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -761193496*g**4 - 254333*g**2 + 1764.\nAnswer: -18268643904*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x. Let t(r) = -r**3 + r. What is g(b) + 4*t(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -356*b. Let s(q) = q. Calculate -534*s(a) - 2*t(a).\nAnswer: 178*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2304, 18132, 60938, 144162, 281244, 485624, 770742?\n\"Answer: 2240*u**3 + 49*u**2 + u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0 + 3 + (sqrt(5) + (sqrt(5) - (1 + sqrt(5))))*5)**2.\nAnswer: -24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -0.2. Let u(z) = z**3 + 8*z**2 - 9*z + 10. Let v be u(-9). Suppose -2*i - 4 + v = 0. What is the third biggest value in 1, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (3 + (-11 - -6)) - (-13 - (7 - 14))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 6*d**2 + 3*d - 11. Let q be t(6). Suppose 0 = -2*r + 2*n + 8, 0*r = 2*r - n - q. Solve -4*b = -5*o - r, 3*b + 18 = -3*o - 0*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.03 - -12. Let d = -6.03 - z. Let v = -2 - d. Which is bigger: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 7*s - 6*s + 1 = 0, 0 = -4*s - 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 30*b - 4\/3*b**3 + 1\/2*b**2 + 0. What is g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -3\/5*i**3 + 30*i - 1\/50*i**5 - 13*i**2 + 0 + 1\/5*i**4. Let j(p) be the first derivative of s(p). Factor j(d).\nAnswer: -6*(d - 3)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = -829985. Suppose 0 = -g - 2*q - 830006, g - q - 4*q = -w. What is g rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 divided by 20118?\nAnswer: 253\/20118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 35. Is 15 a factor of -15*s*(-1 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6.1. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -86806, -86759, -86674, -86533, -86318, -86011, -85594, -85049?\n\"Answer: 3*y**3 + y**2 + 23*y - 86833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let o(c) = 10*c. Give 6*n(u) - o(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 632 + 304. Suppose -4*d + 48 = -4*h + 2*h, h = -4*d + 48. What is the remainder when k is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*b**3*d**3 + b**3*d**2 + 41*b**2*d**4 - 1796*b*d**2 - 11*b - 5*d**4 wrt d.\nAnswer: 162*b**3 + 984*b**2*d - 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, h: 2}. What is prob of picking 1 h and 2 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 7 - 9. Let l be 4 + u*(-372)\/(-16)*-4. Let j = 93 + l. Solve j*z + 3*i = 0, i + 5 = -z - 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (33 + -14) - -24.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-18))\/((-40)\/72))\/((8424\/5655)\/(-24))\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6 - 4. Let o = l + -0.6. Let d = o - -0.5. Which is the smallest value? (a) -0.3 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 0, 5*o = 3*o + s + 10. Suppose 5*u + 2*r = u - 20, u = -o*r - 5. What is the remainder when 51 is divided by (u\/1)\/(-5)*(10 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/57 and -67\/2229.\nAnswer: 42351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {b: 6, l: 3, r: 3, g: 7}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3090695, 0 in decreasing order.\nAnswer: 0, -0.4, -3090695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7633 and 2159?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (77\/(-78) - (-42)\/(-252)). Which is the third smallest value? (a) -7.1 (b) 0.06 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**2 - 7*k + 9. Let o(j) be the second derivative of j**4\/4 - j**3\/2 + 2*j**2 - 17*j. What is -2*h(n) + 5*o(n)?\nAnswer: n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 841*g - 168075. Give n(-509).\nAnswer: 913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1702743818163\/4796 + -355034169. Let s be ((-672)\/327 + 2)*(-7)\/(-231). Let a = c - s. Find the common denominator of a and 1\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26790159, -26790163, -26790167, -26790171, -26790175?\nAnswer: -26790179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*l + 2)*(-15*l + 15*l + 6*l**2).\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((50\/45)\/(-2)*21)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1491416.4178 to the nearest ten thousand.\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363016 = 1813*m + 143643 for m.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u + 5. Let h be s(-6). Suppose 3*r - 2*o - 11 - 147 = 0, -r = 3*o - h. Suppose r*a - 57*a + 97 = 0. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/119? (a) -0.3 (b) -0.354 (c) 1\/5 (d) 2\/7 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/21 - (-52)\/14. Let l be 3*2\/108*r. Is 0 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 5*d - 6. Let x be h(-4). What is the hundreds digit of (2519\/(-11))\/(1 + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 - -157. Let v = -40 + t. Find the third derivative of -6*a**2 + 3 + 4*a**v - 4 + 1 wrt a.\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = 0. Suppose -5*d + 96 + 19 = x. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -109.\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 5*s - 3. Let t be u(-4). Sort 0, t, -1 in descending order.\nAnswer: t, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*s**3 - 2*s**2 + 8*s - 2*s - 6*s to j*s**2 + u*s + z + c*s**3 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 - 44*n**2 + 12*n**2)*(-1 + 5 - 5)*(-5*n**2 + n**2 + 3*n**2) as p*n + m*n**4 + h + v*n**3 + i*n**2 and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 5)*(-c + 4*c - c + (2 - 4 + 3)*(3 + c - 3))*(-9 - 3 - 4).\nAnswer: -192*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202b (base 13) to base 14.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let r(g) = 4*g + 13. What is f(r(z))?\nAnswer: 8*z + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 1230*x + 28026. Calculate n(-637).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x + 2*x = 74280. Suppose 3*r - 3*t - x = -276, 3*t = 5*r - 2645. List the prime factors of r.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 330 - 47. Let l = -92 + h. Does 43 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 + -117. Let v = 0.07 - -2.93. Sort v, w, -1\/3 in descending order.\nAnswer: v, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 781 = -15*y. Let t = 79 - y. Let u(j) = -j**3 - 10*j**2 + 11*j + 12. Calculate the least common multiple of u(-11) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6207827*f**3 + 5185095 wrt f?\nAnswer: -18623481*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*w - 31*w - w**4 + 2*w**2 - w**4 + 1 - 1 + w**4 + (-w**3 + w**3 + 2*w**4)*(0 + 1 - 2) as l*w**2 + f + m*w**4 + s*w**3 + o*w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/3 + 566*j\/3 + 568\/3 = 0 for j.\nAnswer: -1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3994236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1639*u + 0*s = -1643*u - 4*s - 20, -23*u + 5*s + 25 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 7*m - 13*m + 0*m.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -14. Calculate the highest common factor of f and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22942 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 2*x**6\/3 + 32*x**5\/5 + 22*x**4 + 112*x**3\/3 + 34*x**2 + 16*x - 135. Solve w(f) = 0 for f.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 16 = -3*j, 0 = k - 5*k - 2*j - 26. Put 11, k, 1, 0 in decreasing order.\nAnswer: 11, 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 927 - 926. Suppose 4*x + 17 = -3*y, -y = -4*y - 9. Let m = 58.2 - 58. Which is the closest to n? (a) m (b) x (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.624644 to 0 dps.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 3*k - 21, 2*k - 159 = -2*m - 173 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 658, 594, 472, 268, -42, -482, -1076?\n\"Answer: -4*w**3 - 5*w**2 - 21*w + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/32)\/((-2)\/16). Solve 0 = n*s + 26 + 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23432 + 4921 = 666*z + 25445 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*-2*(-1)\/(-6). Suppose 0 = -2*p + 5*v + 4, 0 = 2*p + 5*v - u - 3. Let h(s) = -3 + 3*s - 3*s**2 + 0*s**2 + 2*s**2. Determine h(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16575 and 959361?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1504*v**2 + 67*v. Let p(f) = 2*f. What is q(p(h))?\nAnswer: 6016*h**2 + 134*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4451665263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10585045.126 + 10576348. Let b = m - -8822. Let k = b + -125. Round k to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l\/l**(-2\/13)*l*((l*l**(-1))\/l)\/l*l*l**(-6)\/l*l**(-5)*l**(-5)*l*l*l*l\/(l*l\/l**(1\/9)*l*l)*((l*l**(1\/4))\/l)**(-30) assuming l is positive.\nAnswer: l**(-4969\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5)*(-33)\/(-22). Let u = 7.4 - 8. Let y = -0.4 + u. Which is the closest to y? (a) 0.2 (b) 3\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1674\/(-372))\/(2\/((-4)\/(-1))). Is -0.1 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 2299 = -7983. Let k = m + -362. Calculate the lowest common multiple of (-195)\/(-12) + (-2)\/8 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -15, -0.051, -1\/4, -1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62 - a?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 + -0.35. Let l = 4.533 - 2.533. Put 4\/3, 2\/7, l, b in descending order.\nAnswer: l, 4\/3, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -286226054, -286226052, -286226050, -286226048, -286226046?\n\"Answer: 2*h - 286226056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 18*x. Let p(i) = -489*i + 19. Let f(w) = -34*w - 1. Let q(c) = -14*f(c) + p(c). Calculate q(o(y)).\nAnswer: -234*y + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 3. Let x be -2*((-3)\/(-3))\/(-2). Let q be 3 + -1 + -1 + x. Solve 2*m - 4*c = -2*m - a, 3*c = q*m + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c - 47*c + 98*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - i**2 + 3)*(307*i**3 - 91*i**3 + 63*i**3).\nAnswer: -279*i**5 + 558*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuzzgzfvquv. Give prob of picking 1 v, 2 u, and 1 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*a + 6*a - 58, 5*a - 50 = -5*x. Suppose 22*s - 19*s = 3*h, 4*s + 4*h = 0. Sort a, s, 7 in decreasing order.\nAnswer: a, 7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 + 4*b**3 - 3*b**3)*(-16*b + 17 - 21*b + 30*b).\nAnswer: -35*b**4 + 85*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3466*t - 7027 - 7027 + 14054)*(-2*t + t - 2*t).\nAnswer: 10398*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 0 + 0)*(-u + 12*u + 0*u) + (2 + 2 - 5)*(0 + u**2 + 0) to the form w + r*u**2 + j*u and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q**2 - 16*q - 105. Let k be a(-10). Suppose 77*h = 78*h - k. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -22. Suppose -4*s - 6 = -k. Solve 5 = -2*l - 0*r - r, s*l - 5*r = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3282*u**2 + 4. Let i(m) = 1641*m**2 + 2. Determine 5*i(o) - 3*j(o).\nAnswer: -1641*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224 - -321. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33 - -0.3. Let p = h + -0.123. Round p to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 - -0.03. Let z = 0.0412 + g. Round z to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1400 by 700.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b + 42. What is the remainder when 179 is divided by z(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/120 + 3*j**5\/20 + j**4\/12 + 4*j**3\/3 + 2*j**2. Let n be t(-9). Let f = -8 - n. Let g(k) = -k**2 - k. Calculate g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/4 + 13*r**3\/6 - 2*r**2 - 6*r. Let m be t(10). Let a = m - -245. Calculate the remainder when a is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77083763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, 13, 4199?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3032409213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h - 5. Let m be y(5). Let g(i) = -10*i - 5. Let j(t) = -5*t - 2. Let s(f) = m*j(f) - 6*g(f). Let l(v) = -v. Calculate s(l(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - 3*m + 6*m)*(17183 - 17183 + 171*m) to the form z*m + h*m**2 + d and give h.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-4))\/(77\/44))\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 + 0.45. Suppose -5*d + 587 = -2*s, -5*s - 14*d = -10*d + 1550. Let x = s + 302. Put x, -3\/5, c, 2 in descending order.\nAnswer: 2, c, -3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49224\/(-22268)*152\/(-54).\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10958070 a multiple of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:08 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 3. Let g(m) be the first derivative of -3*m**4\/4 - m**3\/3 + 2*m - 151. Let a be g(1). What is k(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-10))\/((-30)\/100))\/(8\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 59*a**2 - 23*a - 217. Calculate j(30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*c - 164 = 0, -2*u - c + 15 = 71 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1224\/(-2754)*3*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:24 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17250\/(1*6\/(-12800)). Round o to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2080504122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 58*i. Let g(d) = 177*d**2 - 59*d**2 - 66*d**2 - 60*d**2. What is l(g(k))?\nAnswer: -464*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32835 + 32836.40044. Let p = d - 1.4. What is p rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223163 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21752744.\nAnswer: 2, 13, 37, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7125981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 + 32*s**2 + 17*s - 178. Give b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1936 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - m + 2. Let a be v(1). Suppose -3*b + 120 - 36 = a. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 - 2*w**3 + 5*w**3 + 9*w**3 - w.\nAnswer: 22*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**31*(u**(-3\/5)*u)**23 assuming u is positive.\nAnswer: u**(511\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.550145 rounded to three dps?\nAnswer: 1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w + 2. Let a = 3 - 1. Suppose 4*j - q = 14, 4*q = a*j - 22 + 8. Is y(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 3. Let a be h(-2). Suppose 84 + 32 = -4*n. Let o = 41 + n. What is the greatest common divisor of o and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 689151554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 7*u - 10. Let l be q(-8). What is the smallest value in l, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnwmnmnwkw. Give prob of picking 1 l and 1 m.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -5*q**4\/12 + 2*q**3\/3 + 3*q**2 + 768*q. Let n(m) = m**2 - m - 1. Let x be 1 - 1\/(2\/4). Give x*r(c) - 4*n(c).\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 17 - 2 = 0. Let f be (4*4\/4)\/2. Suppose 4*g = -5*a + f + 10, -w*a + 4*g = 12. Put -4, a, -5 in increasing order.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 181?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -1384*u**7 - 3514*u**3\/3 - 8234. What is the third derivative of g(j) wrt j?\nAnswer: -1162560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34578 and 1557540.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 12*q**2 + 7*q - 7. Is f(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5900, -5906, -5914, -5924?\nAnswer: -5936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2106126 divided by 22\nAnswer: 95733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*t + 401*t - 296*t = -51587 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - -2 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/2 + 26084*a**3 + 78255*a**2 + 78256*a + 52171\/2 = 0.\nAnswer: -1, 52171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2 - 2)*(-2*f - 3 + 3)*(-3 + 9 + 5)*(0*f + 4*f - f).\nAnswer: 66*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1827*g + 15*g**2 - 2101*g + 3928*g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6735 divided by -3\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + z - 58 = 0, 3*p - 7*p + z = -41. Factor 2*u - 3*u**3 + u**2 - 3*u**5 - 7*u**5 + p*u**5 - u**4.\nAnswer: u*(u - 2)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 2, k: 1, j: 1, u: 4}. Give prob of picking 1 u, 1 c, and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -5700221 (c) -3\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. Let t(p) = -3 + p + 0 + 3 - 2. Suppose k - 7*k = 18. What is k*v(y) + t(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13486, 13488, 13490, 13492?\nAnswer: 13494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - ((-2 - -7) + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39732 + -39728 - (-1 + (3 - 1 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 3 (c) -3.7 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614 + 506 - 119 = -87*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i. Let k(h) = 134803*h. Give k(w(g)).\nAnswer: 1482833*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5200 and 43758?\nAnswer: 8751600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 45*x + 1070. Let m be u(17). Let f(b) = b**3 - 16*b**2 + b - 21. Determine f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + k**2 - 5 + (4*k + 5*k + 8*k)*(-1 - 2*k + 1) to u*k + f*k**2 + v and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -863.7 - -910. Round p to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4362020 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.461 - 0.109. Let k = 0.6 + z. Which is the biggest value? (a) k (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14299131\/252635 + 2\/50527. Let g = a + -1951\/35. Calculate the common denominator of g and 56\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -5\/4, 2\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003716 rounded to seven decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62078044 or -62078043?\nAnswer: -62078044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.3 (c) 5 (d) -165.2456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + z - 3. Let t be x(-3). Let p = 475 - 469. Solve -p + t = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/(-8) + (57 - 45))\/((-3)\/(-8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*z**4 + 5*z - 5*z)*(24*z - 128 + 128).\nAnswer: 384*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eses when four letters picked without replacement from {s: 9, e: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -3\/4 (c) -65\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let j(o) = 163*o - 163*o + 45*o**2. What is l(j(q))?\nAnswer: 90*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -b9953a (base 13) to base 3\nAnswer: -22012121110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 61*w**2 - 455*w - 946. Determine p(68).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -0*z - 390. What is the remainder when z is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 14*t + 16. Let s be 408\/32 + 1\/4. Let i be o(s). What is z in 112*z**4 + 4*z**i - 4*z + 2*z**5 - 106*z**4 + 4*z = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1942 or 1811?\nAnswer: 1811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**5\/5 + 5*v**2 - 11. What is the second derivative of t(u) wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 284 + -270. Find the third derivative of 22*z**2 - y*z + 31*z**6 + 13*z + 101*z**6 wrt z.\nAnswer: 15840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5104 divided by 1276\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {a: 1, p: 3, h: 6, j: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from dxxxwfxffwgwxwj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -20, -39, -64?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284268 (base 11) to base 4.\nAnswer: 1230213012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 911129 to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16432, -16225, -15880, -15397?\n\"Answer: 69*i**2 - 16501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74545.9129 + -74216.85. Let x = n - 0.7629. Let i = x + -352. What is i rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, -18 in decreasing order.\nAnswer: 2, 0.4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 7\/2, 62, 6, -3\/4, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/3, -76, 56, -171?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*i**3 + 13*i**3 - 2*i + 144*i**2 - 145*i**2 - 2*i**4 + 23 to the form x*i**2 + g*i + l*i**3 + h + v*i**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*w**2 - 2\/3*w**4 - 2\/3 + 0*w**3 + 0*w.\nAnswer: -2*(w - 1)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 2*o - 15)*(-111*o + 2 - 1642*o - 214*o - 2).\nAnswer: 3934*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/(-16)*2\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 - 10*v - 4. Let x be f(3). Let w(a) = -10*a + 1. Let t(d) = 51*d - 5. Calculate x*w(h) + 2*t(h).\nAnswer: -8*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, e: 1, j: 2}. What is prob of sequence cc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**4 + m**2 - 10 + 7 - 2*m**4 + 0*m**4 - m**4 - m**4 + (9*m**3 + 15*m**3 - 9*m**3)*(2*m - m + 0*m) as g*m + y*m**3 + w*m**4 + i + q*m**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 26. Determine l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 20.1 (b) -0.3 (c) -2\/3 (d) 0.841\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 10 + 10. Let f(u) = -6*u. Let t(g) = 2*f(g) - 7*m(g). Let a(l) = 3*l - 16. What is t(a(w))?\nAnswer: 6*w - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -283?\nAnswer: -9\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4773, -4772, -4771?\nAnswer: -4770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 213438961 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -86*m + 4. Let o be v(-2). Find the first derivative of -14*b**3 + 3 + 176*b**2 - o*b**2 wrt b.\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13320 - 11?\nAnswer: -13331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2d (base 16) to base 12\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(450) - (sqrt(450) + sqrt(450)*2)))\/(sqrt(490) - (sqrt(490) - (sqrt(490) + -6*(sqrt(490) + -1*sqrt(490))) - sqrt(490))).\nAnswer: 15*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 + 59?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*q + 74*q - 84 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:42 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2645 greater than or equal to -2647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((6 - 6 - -3) + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 + 130. Suppose -23*a = -27*a + x. What is the lowest common multiple of a and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4073)\/36657*2\/(-14).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-22)\/h)\/(h**28*h))\/(h**(-36)*h*h\/(h*h**(-3\/2)*h*h)*h))**(-41) assuming h is positive.\nAnswer: h**(1435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2171 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 6*k**4 + 483*k**3 + 2028*k**2 - 1869*k - 3420 = 0?\nAnswer: -76, -5, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, j: 3, b: 3, k: 2}. What is prob of picking 1 a and 2 k?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0319 and 4.\nAnswer: -0.1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 11*z in the form j + u*z and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = u, 7*u - 5*b = 8*u - 25. Suppose 0*t + 4*t = 0. Suppose u*z - 1290 = -t*z - 5*r, 0 = 4*r - 20. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0*y**6 + 3*y + 0*y**5 + 0*y**4 - 1\/105*y**7 - 5*y**2 + 0 + 0*y**3 - 5\/168*y**8. Let s(t) = 0. Calculate t.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64.95 + 60. Let z = j - 0.05. Let g = 216 - 1942\/9. What is the second biggest value in g, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -6, -0.1 in decreasing order.\nAnswer: 1, 0.3, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220184 is divided by 789?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5*j + 17202*f**5 + 6*f**2*j + 15*f**2 + 7*f*j wrt f.\nAnswer: -60*f**2*j + 1032120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 24\/(-1)*((-954)\/(-54) + -18).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37394, -77073, -116752, -156431?\nAnswer: -196110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/293, -4, -1.4 in increasing order.\nAnswer: -4, -1.4, 37\/293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32832, 46975, 61118, 75261?\nAnswer: 89404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7398, 59094, 199432, 472734, 923322, 1595518?\nAnswer: 2533644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -133, -2\/11, 3, -1.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -311, -1746, -5149, -11504, -21795, -37006, -58121?\n\"Answer: -164*g**3 - 287*g + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 8*p. Suppose 4*k + p*k = -364. What is k rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - d = 27, -d + 101 = 4*k + 3. Let x = 30 - k. Suppose -5*n = 2*h - 3 - 2, 0 = -x*n + 5*h + 40. Solve -15 = 3*w + n*f, -2*f - 2*f = 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156924843 and 27351?\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 2, -20, -2\/17, 19?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 3920252*t - 7840503\/2.\nAnswer: -(t - 7840503)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -aac (base 13) in base 8?\nAnswer: -3450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-120)\/(-72)*((-4)\/(-6) + (-70)\/(-30)). Let b = 1 + 2. Solve 6*s = f*s - b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21234085 minus -3695?\nAnswer: -21230390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/33 - 4\/(-22). Suppose k*o = 2*o. Suppose 5*q - 62 = m, 3*m + 21 = -3*q + 51. Solve -v + o*s + 2*s = -q, 0 = 3*s + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*j = -104*j - 2*d + 183, 5*j + 8 = 3*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139898378 is divided by 154.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 304*m + 5049 - 5049 to the form f + z*m and give z.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 35. Suppose f = s + 3 - 17. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245107538 divided by -1222\nAnswer: -200579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g - 32*g**4 - 2*g**2 + 4*g**2 + 3*g + 6*g**3 + 34*g**4 in the form o*g**3 + m*g + n*g**2 + b + z*g**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 - 2*t. Let b be z(-3). Let f(l) be the second derivative of l**4\/12 + l**3\/6 - l**2\/2 + 11*l. Determine f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 8*g + 131. What is j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*d + 3 = 594*d - 5*j, -3*d - j - 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -551, 1\/34, 0.05 in ascending order.\nAnswer: -551, 1\/34, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -23*u**4\/24 - 187*u**2. Let a(i) = -5*i**2. Calculate k(a(q)).\nAnswer: 115*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*c - 5 + 30, -5*s = -c + 5. Which is greater: s or 1\/858?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13.77? (a) -3\/16 (b) -0.4 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*q**4 - 39*q**3*r**3 - 14*r**3 + 1 with respect to q.\nAnswer: 44*q**3 - 117*q**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31215*k**4 - 22085*k**2 + 1 wrt k?\nAnswer: 749160*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**2. Let o(z) = z**2. Let r(s) = -s**2. Let v(d) = 4*o(d) + 2*r(d). Give v(l(b)).\nAnswer: 162*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 42*o**2 - 44*o**2 - 1 + 9.\nAnswer: -86*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 314104102?\nAnswer: -314104113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 35*t + 40 = -3*m, -4*t - 25 = m. Solve 0 = -18*p - 33 - m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -36\/319, -3, 3\/2?\nAnswer: -36\/319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -5, 3, 7.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:08 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from aaczhyaa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1600 and 852?\nAnswer: 340800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 2*m**2 + 3*m + 9*m + 2*m**2 to the form u*m**2 + r + k*m and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -780 + 784.1. Put x, -2, -5 in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1898*w**2 - 38*w - 2556. Let g be x(-63). Round g to the nearest one hundred thousand.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37656 is divided by 5199?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483*c + 38 = -2502*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + k - k + 7*k**2 - 9*k**2 - 3*k**2 + (10*k - 2247 + 2247)*(k + 3*k - 3*k) as x*k + t*k**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4.1. Which is the third smallest value? (a) 5\/2 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183352 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03219152 rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1983 is divided by 154?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01326103 to 4 dps.\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2191 - 5*t**2 + 4*t**2 - 1152 + t**2 + t**3 - 1050.\nAnswer: t**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1543981 divided by -4.\nAnswer: 1543981\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofsoossfofssssffos. What is prob of sequence ofs?\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 8:49 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 142*n**2 - 7237*n - 151*n**2 + 294*n**2 + 1.\nAnswer: n**2 - 7237*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*d - 85*d = -57. Let x = -0.01 - -0.31. Which is the closest to 7? (a) x (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19249 - 23631 - 198 = -1267*l for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3765 or 1\/68?\nAnswer: -3765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 108 = -p. Suppose -p = 4*i - 2*j - 67, -4*j + 49 = 3*i. Solve -4*c - i = -7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21076 and 1437?\nAnswer: 63228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, z: 3, t: 1}. What is prob of sequence gz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 6, v: 5}. What is prob of picking 2 v?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 12*c**4 + 2*c**4 - 16*c**4 + 143*c**3 + c**2 in the form l*c**2 + f*c**4 + a + g*c**3 + z*c and give g.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 v when three letters picked without replacement from cumcvrvvvucmvumuvmuc.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9}. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -2*w, -7*w + 3*u = -8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -598 - -589. Let h be 210\/(-45) + 3\/y. Let a(t) = -2*t - 10. Give a(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156737*y + 157256*y - 7266 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 175*w**4 + 1 + 119*w**4 - 39*w**4 + (2*w**3 + 0*w**2 + 0*w**2)*(w - w + w) + 3*w**4 - w**4 - w**4 - w**4 - 2*w + 2*w.\nAnswer: 257*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - 7) + -5 - -14. Let o be ((-18)\/(-3) + -3)\/(9\/n). Solve -2*w - o = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*x + 105. What is the remainder when (5 - 6)\/((-398)\/588 + 72\/108) is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -582749583*q**3 + 3162*q**2 - 291*q - 39 wrt q?\nAnswer: -3496497498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1491205?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-111))\/((-23)\/(-46)*-1).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*x**3 - 110129*f*x + 77*x**3 - 1137*x**2 wrt x.\nAnswer: -12*f*x + 462*x - 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -78\/47?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -20660.873 to the nearest one hundred.\nAnswer: -20700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 447 = 4*p + 427, -4*p + 20 = -10*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.799 less than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from ktnkbmnnknm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 8*j + 7. Let w be (-2)\/(-1) - (-8 + 2). List the prime factors of h(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*p - 171 = -11. Which is the nearest to 0? (a) p (b) -0.1 (c) -18 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s)**(-25)*s**(2\/5)*s\/s**0 assuming s is positive.\nAnswer: s**(-368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*y**3*z**2 - 130*y**3*z - y**2*z**4 wrt z?\nAnswer: 130*y**3 - 12*y**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 88. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 7152 (c) -542\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3 + 1 - 49*j**2 + 52*j**2. Let k(u) = -4 - 5*u**2 - 1 + 10*u**2. Let q(n) = -4*k(n) + 7*o(n). Calculate q(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:26 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 6*d**2 + 4*d + 5. Let f be c(-5). Let y be ((f - 2)\/(-3))\/2. Let s = y + -10. Let v(m) = -m - 7. Calculate v(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -899*m**2 + 228*m**2 + 221*m**2 + 227*m**2 + 222*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3.97. Let d = 0.08 + r. Let x = d + -0.056. Round x to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.15 - 5. What is h rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5867a2 - -2?\nAnswer: 5867a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 9*l - 88 + 31 = 0, -5*l + 104 - 137 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*s - 2*h, -14 = -4*s + 5*h + 23. Let j be 5 - s\/(-2 - -3). What is the first derivative of -3*t**2 + 5 - 8*t**j + 10*t**2 wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 887443178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/60 - 13*v**4\/24 + 23*v**3\/6 + 3*v**2 - 567. Give f(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143740 and 760?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/6 greater than -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = f + 41, 0*m - 4*f = m - 25. Let g = m - 6. Let u = -27 + 26.9. Is g != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 - 4*c**2 + 5*c**2)*(-52 - 26 - 7*c + 59).\nAnswer: 28*c**3 + 76*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*f, -5*u - f + 21 = 9. Let b(g) = 2*g**2 + 3*g + 2. Let y be b(-2). What are the prime factors of 1*y\/u*10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1365\/679 - (-2 + 4)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 85*a**6\/6 + 169*a**3\/3 - 48. Find the third derivative of l(h) wrt h.\nAnswer: 5100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 337*w - 7. Let z(i) = 3*i + 1. What is h(f) + 5*z(f)?\nAnswer: 352*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15348390 and 3231240.\nAnswer: 61393560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -11 - (-1 + 5 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 0.28?\nAnswer: 18.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152819.\nAnswer: 3, 42697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 433*d**4 + 2*d**3 - 3*d**2 + 175*d - 8.\nAnswer: 5196*d**2 + 12*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/120 + (252\/135 - -2). Sort 17, g, -1, -3 in decreasing order.\nAnswer: 17, g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.45 to 0 dps.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (753 - 763) + (-9 - -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -30, 2, 8 in decreasing order.\nAnswer: 72, 8, 2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/33, 4, 3\/4, 6\/385 in descending order.\nAnswer: 4, 3\/4, 7\/33, 6\/385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.9 - -42.1. What is the second biggest value in y, -6, -2\/5, -11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -75. Solve y = 3*l - 2*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (5 + -12) - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5 + 0*w**2 - w**2 - 5*w + 0*w**2. Let j be c(-6). Let k = -168 - -2687\/16. Are j and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) 1\/29078 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40 - (-4 + 3 + 4). Suppose -u = -z - 11. Calculate the highest common factor of z and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/672 and -79\/672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 3980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*r + (0 + 4 - 3)*(-2*r + 4*r - 3*r) - 15 - 5*r + 15)*(3*r - 4*r - 2*r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 54621?\nAnswer: -10924.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.060321 to three decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76029, 304306, 684749, 1217346, 1902085?\nAnswer: 2738954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i + 4*v - 2*v, 2*i + v = 19. Suppose -10*y + i*y - 265 = 0. Calculate the greatest common factor of y and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -250157467 rounded to the nearest 1000000?\nAnswer: -250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467105 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y - 53. Let s be x(12). Which is the closest to -0.2? (a) -4 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i**2. Let f(y) = -2*y**2 - 3. Let t(o) = 4*o**2 + 8. Let n(h) = -8*f(h) - 3*t(h). What is n(w(j))?\nAnswer: 196*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-76)\/(-57) + (-1)\/3. Which is bigger: j or 12\/17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 99\/5, 0, 2\/5 in descending order.\nAnswer: 99\/5, 2\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*k + 222, -3*g - 13 = -4. Suppose -v + 0*n + 4*n = 4, 3*v = -5*n + k. Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**0*s))**(-7\/2)\/((s*s*s\/(s\/(s**2\/s)))\/(s*s**0)) assuming s is positive.\nAnswer: s**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*1*sqrt(832) + (-1*sqrt(832))**2*-1 + 1 + 3 + 0.\nAnswer: -827 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -3 + sqrt(7))*5 - (sqrt(49) + -3*sqrt(49))\/sqrt(7))*-3*-2.\nAnswer: -90 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -3*o - 6. Suppose -8*b = 2*b - o. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1010?\nAnswer: 3\/1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p - 0*p + 4*t, 43 = 4*p - 5*t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6944, 13883, 20822, 27761?\n\"Answer: 6939*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 247?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -423 - -494.2. What is t rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168738*u**4 - 102950*u**2 wrt u?\nAnswer: -4049712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 24 - 43. Let h(s) = -10*s + z*s + 2*s - 4 - 13*s. Let b be 1\/(-2)*14\/1. What is h(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-8)\/(360\/63).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1600*q**3 + 6459*q - 3. Let n(r) = 1067*r**3 + 4303*r - 2. Let b(t) = -5*d(t) + 7*n(t). What is the second derivative of b(v) wrt v?\nAnswer: -3186*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lss when three letters picked without replacement from {m: 9, l: 2, d: 3, s: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 3*u = 15*x - 280, -310 = -5*x + 3*u. Suppose 4*h = -5*p + 6*h + 118, -3*p = 4*h - 50. Calculate the remainder when x is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Let b be (-153)\/(-17)*(5\/(-3) - -2). Find the third derivative of 5 + 2 + 7*h**n - 7 - b*h**2 wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(12\/3))\/((-157)\/6280) + 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 84528013.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p - 32 - p**2 + 29 - 9*p**3 + 0*p. Is s(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -100*v**5\/3 + 380*v**4\/3 + 193*v**3 + 104*v**2\/3 + 5*v\/3 = 0.\nAnswer: -1, -1\/10, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 v, and 1 k when three letters picked without replacement from {j: 3, k: 6, v: 6}.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(70\/252)*(-1)\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1312, -1258, -1180, -1078?\n\"Answer: 12*s**2 + 18*s - 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33591, -33523, -33455, -33387, -33319, -33251?\nAnswer: -33183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/5 greater than 434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 2549*d + 79968. What is r(31)?\nAnswer: 2871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.078 + 35.078. Let i = x + -35.000113. Round i to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:52 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 10*t - 49. What is s(-9)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 1\/6*u**3 + 0*u**2 - 5*u + 7. Let r(n) be the first derivative of t(n). Give r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 4*p**2 + p**2 + (-3*p + 3*p + p)*(3 - 3 + 2*p) + 2*p**2 + 5*p**2 - 5*p**2 - 14*p**2 - 38 - 14*p**2 + 37.\nAnswer: -23*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*t + 8*t + 832, 5*q + 472 = -3*t. Let n = -160 - t. What is the highest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*o + 18 = -3*n + 138*o, 3*n - 46 = -4*o - o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -1. Suppose 3*q - 4*j - o = 0, 2*j + 0 = 2*q - 10. Find the third derivative of -r**2 + r**2 - r**q - 2*r**2 wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 8, -5*j = -j - 2*h - 572. List the prime factors of j.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 9\/19, 51455 in ascending order.\nAnswer: 0, 9\/19, 3, 51455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 203 + -114535?\nAnswer: -114332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 476\/168 + (-24)\/16 + 4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 8*r**2 + 3*r + 1. Give u(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) -23 (c) -32 (d) -1\/4 (e) 56 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = z - 4*a, -3*a + 10 = 5*z. Suppose 2*w = z + 2. What is the units digit of w\/1 - (-5 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328 and 33661?\nAnswer: 269288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1002311322131?\nAnswer: -1002311322200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*t + 8 = 19, 0 = o + 2*t - 5. Which is smaller: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7973 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*h**3 + 14200*h**2 - 5695*h + 570.\nAnswer: 5*(h + 114)*(5*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(-6\/7))**(-24\/11)*(j*j**(-2\/5)*j)**(3\/16)\/(j**(-6)*j\/(j*j*j**(-2\/5)*j)) assuming j is positive.\nAnswer: j**(8963\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 243174762 divided by -6\nAnswer: -40529127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 23*s**2 + 185*s + 4554. Calculate c(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -39, -38, -15, 36, 121?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20380, -20216, -20052, -19888?\nAnswer: -19724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4859 take away 1226027?\nAnswer: -1230886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -5, -2, -149, -116 in increasing order.\nAnswer: -149, -116, -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -417 - -492. Factor -160 - 18*q - 79*q**2 - 38*q + j*q**2.\nAnswer: -4*(q + 4)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1834)\/(-18) - (10\/(-50) + 4\/45). Solve -k*z = -96*z - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -2*d + 19. Solve -2*p = 3*o, -d*o - p = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5521 + -2377?\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c - 9. Suppose 0*h = -3*v + h + 16, 0 = -4*v + 4*h + 24. Let p(f) = -6*f + 5. Let l(i) = 3*i - 3. Let d(m) = c*p(m) + v*l(m). Determine d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9450443 - -19750443. What is b rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270818?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0*n**3 + 0*n**2 - 1\/12*n**4 - 4*n + 0. Let o(b) = 2*b**2. Determine o(l(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 4750?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 61334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 - -630?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 221 - -13. List the prime factors of ((-5)\/(-10))\/(3\/a).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 266 - 131 + 447 + 199 - 9*u**3 + 8*u**3 + 3*u to m*u**2 + s*u**3 + x*u + z and give z.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (5311\/(-2))\/(((-2)\/(-2))\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 29 - 313. What is the lowest common multiple of 87 and d?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {b: 9, g: 2, e: 5}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799057.\nAnswer: 7, 211, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2538*l - 2688*l + 27000. Calculate the remainder when 5933 is divided by l.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677686166.\nAnswer: 2, 338843083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4))\/((-5215)\/(-894)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529073089?\nAnswer: 529073089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-351)\/234*10*2\/1185\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -12*o - 1172. Let k be t(-98). Solve m + k*m = -2*i - 8, 4*m + 9 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + s**2 - s**3 - 12*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 913 - 73 = 0. Let j = 71 - d. Calculate the lowest common multiple of j and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -314453\/25 - -12577. Let w = 1227\/11 - 6098\/55. Find the common denominator of l and w.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7821 + 0.0879. Let u = y - -0.13. What is the nearest to 1\/3 in -1, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 7*o - 5. Let y(b) = -6*b - 56. Let l(x) = -4*x - 37. Let w(j) = 8*l(j) - 5*y(j). Let n be w(-5). What is d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -261093, -522193, -783305, -1044435, -1305589, -1566773, -1827993, -2089255?\n\"Answer: -z**3 - 261093*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*r + 1845 = 5*n, -r - 1111 = -3*n. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0805 + 0.069. What is c rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2920*t - 14*t**2 + 3392*t + 820 + 2394*t = 0.\nAnswer: -2\/7, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048970754?\nAnswer: 2, 3, 13, 17, 167, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = c - 38. Let b = -8 + c. Let a = 41 - b. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2803 is divided by 281.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 95.5. Let i = 274 + -274.3. Which is the closest to 2? (a) j (b) i (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, 5, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 109837729 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, m: 2, z: 1, o: 4}. Give prob of sequence ouoo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4533 (base 10) to base 14.\nAnswer: -191b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + v + 1. Suppose 64 - 3 = y. Let m = y - 46. Suppose -4 = g + n - 1, -m = 2*g + 5*n. Give r(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1069, 8621, 29123, 69049, 134873, 233069, 370111, 552473?\n\"Answer: 1079*j**3 + j**2 - 4*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -1164\/11. Suppose -3*u - 33 = -2*g, -3*u + 5 = -4*u. Let q be 3\/g - (-1 + 1). Put j, q, 2 in decreasing order.\nAnswer: 2, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 41049333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7605\/(-18)*24\/(-20).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-53 - -56)*(1 - (-3)\/(-9)). Suppose t*l - 30 = -0*l + 5*n, 32 = 2*l - 4*n. Solve 0*f - 4*f = -3*d + l, -d + f + 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-7)*r**(-1\/16))\/(r**(-2)*r)**16)**(1\/50) assuming r is positive.\nAnswer: r**(159\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + p = -51 + 81, 3*p + 108 = 5*s. Let f(j) = j - 1. Give f(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-16) + 6\/4. Is 5 a factor of 1 - -194 - (-2 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*20\/8*(-4)\/40. Suppose 10*n - 9*n - 22 = -t*d, -40 = -3*n + 4*d. What is the remainder when 50 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*w**2 + 372*w - 65*w**2 + 113*w**5 + 15*w**2 + 33*w**2 wrt w.\nAnswer: 2260*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 361*p - 2. Is v(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221a7 (base 11) to base 6.\nAnswer: -404554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**2\/2 - 12*g - 155. Determine b(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from qkkkqkqqkqqk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 4. Let r be (-2)\/x + 14\/(-4). What is the closest to 2\/7 in 0.2, r, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62989 >= -314943\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40632 and 32040?\nAnswer: 54243720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02137222 to 4 dps.\nAnswer: 0.0214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29 + -0.244. Let t = -18.0386 + 18. Let k = j + t. What is k rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-331))\/((-1)\/1). Let f = 31505\/1986 + t. Calculate the common denominator of -29\/4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -113.6 (b) -23 (c) -0.1 (d) -5 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69142673 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -2) + 2 + -10 + 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h = -1179 - 3284 + 911 for h.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 20 = 12*u, 128 = u - 3*w + 136 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 - 17*y**2 - 21 - 3 - y**2 wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Suppose -5*a + 11 = -4*i + 36, -2*i = -3*a - 13. Calculate the lowest common multiple of l and 15 + a - -1 - 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*s - g**2*x*y + 2*g*s*x**3*y + g*x**2*y - 2020*g*x**2 + 216544*s*y - 3*x**3*y - 3*x**3 wrt s.\nAnswer: -g**2 + 2*g*x**3*y + 216544*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108777 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 13. Suppose x*b - 2*b - 165 = 0. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49929 and 1632.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164132407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34188 by -11.\nAnswer: -3108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n + 50. Suppose -4 = 2*m, 24 = x + 5*m - n. Let h = x + 14. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61287894.76 take away 0.1?\nAnswer: -61287894.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15468 in 2\/19, -1, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 30 = -6*m. Let v(a) = -3*a**2 - a**3 - 7 - m*a**2 + 0*a**2 - 5 - 8*a. Let n be v(-8). Is -11 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 1:47 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/18)\/(3 + 571\/(-190)). Let h = -281\/9 + j. Factor 16\/9 + 2\/9*s**3 - h*s**2 - 8\/9*s.\nAnswer: 2*(s - 2)**2*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 - 81. List the prime factors of (-4)\/8 - j\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-20)*(-1 - 2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3835)\/(-5) - (-2 + 5). Is (u - -2) + 21\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/16)\/(3\/(-2)). Let g be 91\/104 - (3 + 69\/(-24)). Factor g*l**2 + 0 + n*l + 3\/4*l**3 + 1\/4*l**4.\nAnswer: l*(l + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:53 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**2. Let i = -185 + 187. Let m(q) = -12*q**2 + 0 + 0 + 8*q**i. Determine m(z(v)).\nAnswer: -196*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + n**2 - n + 5. Let i be c(-4). Let z = 24 + i. What is the units digit of (48\/z)\/(5\/(-25))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*m**2 + 2*m + 70*m**3 - 72*m**3 - 27*m**4 + 29*m**4 in the form h*m + r*m**4 + p + f*m**2 + q*m**3 and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7089\/4 - -5302\/3. Find the common denominator of v and (1\/(-2))\/(5 + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 10*q**2 - 4*q + 14. Let m be g(10). Let z = m + 69. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m + 9*m - m**3 - 29 + 9*m**2 - 23*m + 0*m**3. Let k be t(8). Find the first derivative of 48*s**3 - 25*s**3 + 12*s**3 + s**k - 31 wrt s.\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*q = -16, -2*v + 7*v + 3*q - 11 = 0. Let g(z) = z**3 - 19*z**2 - 53*z + 233. Let j be g(21). Which is the closest to j? (a) v (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -4*u - 36, -37*u = -3*h - 38*u - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 14*r**3 + r**2 - 2*r + 1. Give x(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**5\/60 - h**4\/4 + h**3\/3 + h**2. Let v be w(-6). Suppose 0 = -v*f + 4 + 14. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {e: 3, h: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 690755 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n**2 - 7*n + 2. Let z be r(2). Let g be 4\/z*5 - (-93)\/(-162). Which is the second smallest value? (a) -2\/11 (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724ba6 (base 12) to base 4.\nAnswer: 12311132232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*q**2 - 2173076*q + 5114925?\nAnswer: -8*q - 2173076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -9 in increasing order.\nAnswer: -9, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 54 and -680844213.\nAnswer: -680844159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 8*r + 6. Let s(g) = g + 15. Let f be s(-21). Give c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3188 is divided by 63?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2748894, 2748933, 2748972, 2749011, 2749050?\n\"Answer: 39*p + 2748855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -137579\nAnswer: 1650948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5895 or 47149\/8?\nAnswer: 47149\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639 (base 11) to base 16.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55724, -111564, -167402, -223238, -279072?\nAnswer: -334904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-4) + (-2)\/(-8). Let o = 1 - r. What is the remainder when 20 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 28. Let i = s - 9. Which is the second biggest value? (a) -0.3 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - 81*h**2 + 84*h + 11. Calculate c(-28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 1. Let q(h) = -4*h**2 - 5*h**2 + 18*h**2 - 10*h**2. What is q(o(k))?\nAnswer: -9*k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8\/3)\/f**29)\/(f*(f*f\/((f\/f**(-2\/55)*f*f*f*f)\/f))\/f*f*f**(-27\/5)) assuming f is positive.\nAnswer: f**(-4163\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 491 = -5*f + f, 3*f + 2432 = 5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -16\/7, 4, 6\/1915, 1\/10?\nAnswer: 6\/1915","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/36*-8*1\/(-30)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12363980 less than -0.006?\nAnswer: 12363979.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52\/3*j - 2\/3*j**3 + 6*j**2 + 16 = 0. What is j?\nAnswer: 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119292 by -53.\nAnswer: 119292\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 27*a**2 + 54*a + 22. List the prime factors of n(25).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3230243 milligrams?\nAnswer: 0.0003230243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 - 126. Which is the third smallest value? (a) -0.2 (b) 8\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1458 (base 10) to base 9.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155? (a) 7\/6 (b) -0.3 (c) 276 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*w + 3 = 9, -3*q - w = -17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -72. Suppose 0 = x*z - 1 + 12. Let v(i) = -29*i**3 + i**2 - 1. Give v(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/17*(-1724)\/4310.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c)**(-14) assuming c is positive.\nAnswer: c**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 16.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r. Suppose j + r*j = 18. What is the remainder when 70 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.465342cm in nanometers?\nAnswer: 24653420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 6*w = -5390. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114459\/638 - 1974\/11. Let f = 211\/34 + 134\/51. Find the common denominator of f and a.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 2*w**2 - 3*w + 4. Let q be j(5). Suppose -2*s = -28 - q. What is the greatest common divisor of s and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20951214 is divided by 1414?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**4\/4 + j. Let f(a) = 2*a. Give f(r(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 4. Let u(h) = 6*h - 3. Suppose q + 5 = -2*l, -5*q + 2*l + 0*l + 35 = 0. Give q*u(v) + 4*w(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 921 and 9771.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12483396 + -5967571.12483396. Let y = w - -5967575.9999832. Let p = y + -5. Round p to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*d - 17 + 17 to the form x*d + r and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 121 = 10*q - 4*i, 0 = -4*q - 5*i + 379. Solve 65 - q = -9*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2 + b + 4*b + 0*b - 3*b. Let c(a) = -5*a + 11. Let h(s) = -3*s + 5. Let z(p) = 2*c(p) - 5*h(p). Let l(r) = 7*y(r) - 3*z(r). Give l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + s - 4, -5*g - 4*s + 3 = 0. What is the tens digit of 13 + 2 + 2\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(0 + 1 + 1) + (-5 + 5 - 2)*(0 + 1 + 0)*(0 - 2 - 1))*(166*t**2 + 42*t**4 - 166*t**2).\nAnswer: 336*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiibibrxbiiiibbibx. Give prob of sequence ri.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17*v - 15*v + 44*v - 13*v. Let q(s) = s**2 - 4*s. Let u(k) = 12*l(k) - 3*q(k). Let f(h) = -26*h. Calculate u(f(a)).\nAnswer: -2028*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86.82 - 2.18. Let q = i + 93.75. What is q rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 6 + -3 + 1808. What is the greatest common factor of 33 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**3\/2 - 4*u**2 - 5*u. Let t be m(-9). What is the greatest common divisor of 171 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*((sqrt(272) + sqrt(272)*-1 + sqrt(272) + sqrt(272))**2 + sqrt(272)) + 4 + -3 + -4)*4.\nAnswer: 80*sqrt(17) + 21748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 12 + 12 - 4*g - 4*g**3 to the form j + x*g + n*g**3 + t*g**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 785 + -b?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (130\/(-50))\/((-1)\/5). Let m = r - 7. Let h be m\/(-10) - 54\/(-15). Solve 2*g = g - h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670042.5 years to decades.\nAnswer: 67004.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/5)\/((-28)\/70)*-8. Solve t - 6*t + 4*d = 35, 13 = q*t + 5*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36838, -73677, -110516, -147361, -184218, -221093, -257992?\nAnswer: -294921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 m, and 1 a when four letters picked without replacement from {v: 2, j: 1, i: 1, a: 13, m: 2, x: 1}.\nAnswer: 26\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 14*n + 15. What is h(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001286713 to seven dps.\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdttdtddt. Give prob of picking 1 d and 1 t.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 - (-12 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 5. Let u(h) = 67 - 31 - 3*h**2 - 22. Determine 6*u(r) - 17*z(r).\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 10*r**5\/7 + 346*r**4\/7 + 134*r**3\/7 - 2362*r**2\/7 + 648*r\/7 + 1224\/7 = 0.\nAnswer: -34, -3, -3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60\/23 + 143\/46. Which is the closest to -0.4? (a) m (b) 0 (c) 0.2 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**5\/10 + 3*b**4\/4 + b**3\/6 + 13*b. Let v(r) be the second derivative of j(r). What is the derivative of v(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.242147298 plus 18?\nAnswer: 18.242147298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 5*y**2 - 4*y - 3. Let h = -105 + 102. What is the units digit of o(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**4\/24 + 2*h**3\/3 - 2*h**2. Suppose -5*z + 15 = -15. Let d be 66\/15 + (-2)\/((-20)\/z). Calculate s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 8*o**2 + 10*o - 2. Let q be r(9). Suppose -q*n = 6*n - 1768. Let j = 68 + n. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 4402.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151.82386369 + -151.825. What is f rounded to 5 decimal places?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248722 divided by 46.\nAnswer: 5407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 + 5*c**2 - 5*c + 6. Let y(i) = 6*i**3 - 4*i**2 + 4*i - 7. Let j(f) = 4*g(f) + 5*y(f). What is the first derivative of j(d) wrt d?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b - 7. Let j be n(0). Let a be (-1 + -1)*(-12)\/8. Let d = a + j. Let y(v) = v**3 + 3*v**2 - 3*v + 5. Give y(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 5*g + 2*g)*(0*g**2 - g**3 + 0*g**2) + 4*g**4 - 2*g**4 - 3*g**4 + 11*g - 6*g**4 - 3*g + 2*g**4.\nAnswer: -3*g**4 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6992574 to the nearest integer?\nAnswer: 2644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 233.4681ml?\nAnswer: 0.2334681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/84)\/((-2)\/9). Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/3 + 28*l**3\/3 + 196*l**2\/3 = 0?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j + 42. Let z(t) = 6*t + 50. Let l(k) = 7*y(k) - 6*z(k). What is l(13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-6) + (-24)\/36. What is the third derivative of -13*u**4 + 5*u**4 - o*u**4 - 8*u**2 - 3*u**2 wrt u?\nAnswer: -312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 2. Let s(h) be the third derivative of h**4\/24 + h**3\/6 - 23*h**2. Give -3*f(w) + 5*s(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - m + m + (0*m - m + 2*m)*(-m + 0*m - 3*m) - 34*m**2 - 5*m**2 + 5*m**2.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 y when four letters picked without replacement from wwwgy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -128, -220, -334, -464, -604, -748?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92804 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -1)\/((-3)\/(-38)). Let w = j + 128. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 17*k**2 - 3*k - 11. Let d be v(-17). Let s = d - -58. Suppose -4*i + 314 = u + s, 3*i = 2*u + 162. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4 + 4*v**3 + 21*v**2 = 0?\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -507.594418 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 + 2. Let m be ((-35)\/(-140))\/(7\/(-8) + 1). Let i(x) = -20*x**2 + 9. What is m*i(u) - 9*j(u)?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -16. Which is the closest to q? (a) -5 (b) -1 (c) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6833287*f**4 - 6726351*f?\nAnswer: -81999444*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/12)\/(2\/4). Let p = 3.952 + 0.048. Sort y, -3, p in ascending order.\nAnswer: -3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2749 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3\/16, -4, 0.3 in increasing order.\nAnswer: -4, -1, -3\/16, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8695755, -8695667, -8695413, -8694909, -8694071, -8692815, -8691057?\nAnswer: -8688713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 11:26 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 2*d**2 - 338*d - 1773. Calculate j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 394 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44898 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754.52 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a\/(a\/(a**(-1\/5)\/a)))\/(a**(-5)*a*a**7))\/((a**0\/a)**41*a\/a**(-2)*a**(5\/3)) assuming a is positive.\nAnswer: a**(452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -18 + 18*y - 8 + 24*y - 61*y + 23*y. Suppose -4 = -q + 8. Does 4 divide n(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -773004.5553 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3264862699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.94649 to 1 dp.\nAnswer: 55.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:04 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cecf when four letters picked without replacement from {e: 1, f: 3, s: 1, c: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3592558410 to the power of 1\/3, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1804 and 10?\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -61\/2. Let v = 1\/44 + -17\/22. What is the second biggest value in -1, -1.4, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534905 at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 3279.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 13 + 17. Let h be (-8)\/(-4) - -2 - (-28)\/(-7). Sort r, h, -1 in descending order.\nAnswer: h, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9432 - 5979. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(3\/8). Let o = 0.05 - -1.95. Let z = -7 + o. What is the second smallest value in z, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -367 - 4?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -34, -5 in ascending order.\nAnswer: -34, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 - 94.892. Let p = 0.71 - y. Let m = 1.32 - p. Round m to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/49 - 10\/(-14). List the prime factors of ((-77)\/14)\/(x\/(-4)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345160254 divided by 6?\nAnswer: -57526709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 1.6, -4, -3\/11, 0.1, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 19*j + 20*j + 39491 = 0, 0 = -5*r + j + 197427. List the prime factors of r.\nAnswer: 2, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222398117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 18*n + 2. Let m be l(18). Suppose 0 = -3*x + f + 400, 10*f - 290 = -m*x + 6*f. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 81956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39424 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746 - 3*m + m + 727.\nAnswer: -2*m - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10794, 10738, 10640, 10500, 10318, 10094?\n\"Answer: -21*x**2 + 7*x + 10808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 8*z + 20*z + 42. Which is the nearest to 1? (a) z (b) -1\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-467 - 999 + 7217)*(0 + 0 + 2*v) as z + x*v and give x.\nAnswer: 11502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 611 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3096)\/126 + 25)*-6\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-14 + 22 - (18 + -3)) + 27 + -4\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9428*x + 9527*x = -1386 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173088191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -465, -4, -5.\nAnswer: -465, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from yttttllzzy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 282*f*n**3 + 4*n**3 - 17*n wrt f.\nAnswer: 282*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -0.02229, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 130*l + 140. Suppose 70*m - 480 = 78*m. List the prime factors of p(m).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*r + 58*r + 3*q + 72 = 0, -8*q = -3*r - 50 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**4 + s**3 - 2. Let x = 11 - 18. Let r(o) = 3*o**4 + 3*o**3 - 7. Let a(u) = x*n(u) + 2*r(u). Factor a(z).\nAnswer: -z**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140553010 (base 6) in base 15?\nAnswer: -12040d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737 (base 8) in base 14?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {n: 1, q: 1, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 148 = 8*x. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - ((1 + -4 - -2) + (-2 + -8 - -1)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 - (-3)\/(-7). Let z = -1.243 - -1.2. Let v = z - 3.957. What is the second smallest value in v, b, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*4\/8 + 15\/6. Suppose 0*u - l = -4*u + 842, -g*u + 412 = 4*l. List the prime factors of u.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279 - 16*z**2 - 215 - 64.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -3, 2, 2\/29, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 6*h**2 + 2*h - 6. Let a be r(4). Let v be ((-12)\/10)\/(9\/a). Let y(k) = 0*k + k - v*k + k. Let t(d) = d. What is y(t(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -25.56?\nAnswer: 102.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30338 divided by -14?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/8)\/9*-3*4\/39.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -12. Suppose -a*x + 18 = -2. Suppose -f - 27 = -x*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 18. Suppose 2*x + 2*x - 20 = p. Suppose 0 = x*k - 2*m - 47994, 4*k + 2*m - 38415 = -3*m. What is k rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4209 (base 16) to base 14.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11*(11 - (3 - -1)). Differentiate -9*q**3 + 10 - d*q**2 + 77*q**2 with respect to q.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19147680 plus 0.097?\nAnswer: 19147680.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*n + 22*j + 149 = 94*n, -7 = j. Which is the closest to 2? (a) 13\/6 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10130222120 (base 4) to base 6.\nAnswer: 40554012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*i - 143 + 1565 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**2 + 1094*p - 312. Let o be q(156). Solve 5*d + f + 14 = o, -d + 4*f = -13 - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 10415560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0477 and -36824 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*h = -50*h - 361. What is the remainder when 129 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -2. Let i = -1.3 - -6.3. Let b = -26 - -28. What is the second biggest value in i, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -460, -852, -1906, -3952, -7320, -12340, -19342?\n\"Answer: -55*q**3 - q**2 - 4*q - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256\/3 + -85. Which is the closest to n? (a) -1 (b) 1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hml. What is prob of sequence hml?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 2 (c) 0 (d) 678\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/176*(-56)\/490?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 147857.2 meters?\nAnswer: 147857200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 162\/11 - 799\/55. Which is the closest to 4\/3? (a) x (b) -2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 5*f - 2 - 6*f + 0*f + f. Let v(n) = -8*n - 2. Determine 4*o(b) - 5*v(b).\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.04, 0.5, -18.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68402354*v**2 + 68402354*v**2 + 9*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3187 is divided by ((-72)\/15)\/((-416)\/1040).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -317.950652 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {m: 1, b: 2, e: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 - 3*o**3 + 248*o**2 - o**4 - 253*o**2 as l*o + w*o**2 + c + q*o**4 + y*o**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 6*g + 26. What is u(12)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(14))\/sqrt(7))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/60 + 31*a**4\/24 + 35*a**3\/6 + a**2 + a - 428. Determine b(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 71 and -0.12.\nAnswer: -8.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4735 - 2293. Suppose 3*u - g = -3*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80596 * 3\nAnswer: -241788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4*v + 83*s**4 - 4*s**3 - 2*s**2 - 359*v wrt s?\nAnswer: -24*s*v + 1992*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 18*o**2 + 31*o - 19. Let p be l(-16). Put p, -23, 3, 1 in decreasing order.\nAnswer: 3, 1, p, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1829 and 4057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3 - 68368*q**2 = 0. What is q?\nAnswer: 0, 17092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1070*u**5 - 64736*u**4 + 233562887*u**2?\nAnswer: 64200*u**2 - 1553664*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*d - 9*d. Let g(j) = j**2 - j + 2. Let s(k) = -2*k**2 + 2*k - 5. Let u(x) = d*g(x) + 3*s(x). Let o(p) = 4*p**2 - 5*p - 5. What is -o(q) + 5*u(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - 4.92. Suppose 2*j = f + 15, 5*j = 110*f - 114*f - 8. Let w be f*((-5)\/2)\/((-55)\/22). Which is the closest to 2? (a) -1\/6 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4997527, -4997525, -4997521, -4997515, -4997507?\nAnswer: -4997497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 3*b**4 + 0*b**4 + (0 - b + 0)*(-3*b**3 + 2*b**3 + 0*b**3) + (-2 - 4 + 4)*(-3*b**4 + 3*b**4 - b**4) - b**4 + 3*b**2 - 3*b**2.\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**5\/20 - 2*h**4\/3 - h**3\/6 - 7*h**2\/2 - 6*h - 20. Let x(d) be the first derivative of y(d). Calculate x(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 - 3*s + 5. Let j be f(-4). Calculate the remainder when (j - -1)*(-25)\/(-10) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4182)\/14 + 2\/(-7). Let z = -889\/3 - r. Let 2\/3*m + z*m**2 - 4\/9 + 14\/9*m**3 = 0. What is m?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (445\/381)\/(22\/99). Let g = 3\/508 - a. What is the common denominator of -47\/73 and g?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 4*p - 5. Let o be c(4). Let d = o + 3. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - sqrt(190)*-1*-5 - 2*(sqrt(190) + 3*sqrt(190)))\/((2*sqrt(1000) - sqrt(10))*-5)*4.\nAnswer: 48*sqrt(19)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7866159 is divided by 2081.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 2*t**2 + 2*t - 3. Let k be n(2). Let p = 3 + k. Suppose 0*x = a + 4*x - 23, 0 = 4*x - 12. What is the remainder when a is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = 2*p - 20*w - 532, -3*p + 800 = -5*w. What is the lowest common multiple of p and 585?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -259869*l + 259917*l + 240 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 23*k**2 + 56*k + 52. What is r(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:46 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -0.1, 47, -4\/519, 7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -30 + 34 - 342\/16. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 323*c**5\/30 + 13*c**4\/24 - 7*c**3\/3 + 20*c**2 - 3. What are the prime factors of g(1)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 83, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y. Let o(c) = -144084 + 28*c + 144084. What is o(s(i))?\nAnswer: 308*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4597 rounded to two dps?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 v when three letters picked without replacement from {s: 2, c: 3, q: 1, l: 5, m: 1, v: 8}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 11*m**2 - 6*m - 10. Suppose 5*x = 2*j + 21, 2*j - 3 + 9 = 0. Calculate the remainder when 350 is divided by g(x).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 10. Let q be b(8). Suppose -3*o = 4*n + 42, 3*n + 2 = -2*o - 30. Let x be 0\/(-2)*6\/n. Solve l + 4 = -3*w, -1 = q*w + l - x*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1. Let n(a) = -a. What is -b(c) - n(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*s - 4*w, 10*s + 12 = 11*s - 2*w. Factor 1\/11*r**s + 0 + 3\/11*r.\nAnswer: r*(r + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/5 and 26424 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -448 != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 - 141*b + 125. Let v(d) = -d**2 + d + 2. Let r(y) = a(y) + 5*v(y). Suppose r(q) = 0. What is q?\nAnswer: 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3327.2 + -3327. What is the second smallest value in -0.5, w, 5, 0.4, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/9 - 76*h**3\/9 - 74*h**2 - 896*h\/9 + 5096\/9 = 0.\nAnswer: -26, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 35*o - 8. Let p be g(-17). What is w in -20*w**2 + w - p*w - 36*w**2 + 4 + 44*w**2 = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 + -51. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:41 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -22, -39, -60, -85?\n\"Answer: -2*k**2 - 7*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from heeii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3313205, 3313204, 3313203, 3313202, 3313201, 3313200?\n\"Answer: -k + 3313206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 761*i - 1.\nAnswer: 761*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -13.1. Let b = 7.525 - 7.325. What is the closest to b in -4, v, -5, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -3.8 (c) 1\/3 (d) -93.479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*i + 3912, 0 = -4*i - v + 12773 - 4924. What is the remainder when i is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -11. Suppose 3*j + 4*v - 62 = x, -9 = 3*j - 5*v - 80. What is the smallest common multiple of 4 and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 1 - 2*c + 5*c)*(-2 - 1 - 2).\nAnswer: 10*c - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1150*d**2 - 21*d - 33. Is j(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/18 and ((-1)\/27)\/((-15)\/126)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 1. Let j be c(-1). Suppose 45 = 5*h + 2*i, j*h - 9 = h + 3*i. Calculate the lowest common multiple of 6 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -852 = -4*j + 1772. Suppose -254 = -5*b + j. Suppose -5*s + 56 = f, -3*f + b = f - s. Is f a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in 1308, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k - 6. Let x(m) = -m + 1. Suppose -o = -2*q - 2*o + 2, 4*o - 18 = 2*q. Determine q*y(c) - 6*x(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146630, 293264, 439900, 586538, 733178, 879820, 1026464?\nAnswer: 1173110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -4 (c) -0.02 (d) 10\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/7 - 1811288*x\/7 - 410095527368\/7 = 0 for x.\nAnswer: -452822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/18 and 53\/14068.\nAnswer: 126612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 c when four letters picked without replacement from {c: 5, r: 2, p: 8}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8737*n**2 - 2*n + 3. Let y be x(1). Is y\/(-7) + (2 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3466 - -0.0466. Let i = 242 + -165. Let j = -536\/7 + i. Which is the nearest to 0? (a) z (b) j (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (872 - 96*j - 872)*(1 - 1 - 3*j) to w + q*j**2 + g*j and give q.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15552 and 134976.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8755 * 10.\nAnswer: -87550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3000) - (sqrt(480)*2 + sqrt(30)))\/(sqrt(6)*-1*4 - (1*sqrt(726) - sqrt(726))) + 4 + 3)*3.\nAnswer: -3*sqrt(5)\/4 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 14.7. Let w = s - -1.2. Let g = w - 0.4. Is 1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = -5*m + 2*z, -3*z + 11 = -2*m. Let g(v) = -v**2 + 2*v - 1. Determine g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-16 + 1780\/56) - (-164)\/(-1288)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ed891 (base 15) to base 3\nAnswer: 1102100001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10264904 and 534?\nAnswer: 30794712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:54 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 38 = -0*f. Suppose 3*n = 10 + 104. Let b = n - f. What is the remainder when 37 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*f**3*z**2 + 2*f**3 - 34*f**2 - 2*f*z**2 + 3*f*z wrt z?\nAnswer: -130*f**3 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 4*a - 10. Let l(j) = 3*j**2 + 12*j - 30. Let z(p) = -17*k(p) + 6*l(p). Let o = -218 + 212. Let r be z(o). Solve r*w = 7*w + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21, 885, 8, 134 in decreasing order.\nAnswer: 885, 134, 8, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*r)*(-8*r - 15*r - 8*r)*(0*r + 3*r - 2*r) as y + f*r**3 + m*r + p*r**2 and give f.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3895625*i**4 + 1140590*i**2 wrt i?\nAnswer: -93495000*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6104*k**3*l**3 + 743*k**2*l**3 + k*l**3 - 2*k*l - 23420*l**2 wrt k?\nAnswer: -36624*k*l**3 + 1486*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 18. Calculate the remainder when 99\/6*4\/6 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 - -185. Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53926075 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -g - 35*y + 77, 3*g + 5*y = 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 2*g + 588 - 488 to r*g + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 190 = -5*s, 2*s - 95 = -m - 4*m. Let g = 31 + -6. Suppose -g = -5*n + s. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47094.23 micrograms to tonnes.\nAnswer: 0.00000004709423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3 = -4*m - 3*c - 45, -5*m - 102*c = 351 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7152154 to the power of 1\/2, to the nearest integer?\nAnswer: 2674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -221. Let v = y - 24. Let d = v + -77. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111101001010 + 11?\nAnswer: -1010111101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 13\/3*g**3 + 11\/3*g**2 + 1\/3*g**4 - 13\/3*g.\nAnswer: (g - 1)*(g + 1)**2*(g + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96190710 and 14?\nAnswer: 96190710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -809 (base 11) to base 3.\nAnswer: -1100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*a - 203*a + 7*a + 21489 = -81*a for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.75*716.\nAnswer: 3401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w**(-2\/21)\/w)\/w)\/(w*w**5))\/(((w**(-3)\/w)\/w)\/(w**(-4)*w))*(w**(2\/11)\/w**4)\/(((w*w\/w**(-1\/3)*w)\/w)\/(w*w**3)) assuming w is positive.\nAnswer: w**(-481\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(88)\/sqrt(8)))\/(sqrt(2)*-3*-1).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23292293 a multiple of 4877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.66 - 3450636379?\nAnswer: -3450636104.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -394\/27 - -283232\/19413. Let y = 1408\/10785 - x. Which is the second biggest value? (a) 4 (b) y (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - -1.5. Suppose 0*o - 9 = 3*o - 5*w, o - 4*w + 10 = 0. Which is the smallest value? (a) o (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2\/13*j**3 + 2\/13*j + 2\/13*j**2 - 2\/13 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 57\/18 - 75\/50. Suppose -4*r = 3*y - 0*y + 16, 0 = 4*r - 4*y - 12. Which is the closest to r? (a) o (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27396, -54462, -81194, -107592, -133656?\n\"Answer: 167*i**2 - 27567*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5490 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymzzzymzzmzz. What is prob of sequence yz?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495.9322 litres to millilitres.\nAnswer: 495932.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42280670.\nAnswer: 2, 5, 23, 183829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 32913.5814 minutes?\nAnswer: 3.26523625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*h**3*q*t**2 + 2*h**3*q*t - 17*h**3*t - h**2 - 2*h*t**2 - 38*h*t + 2*q*t**2 wrt h.\nAnswer: 120*q*t**2 + 12*q*t - 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/15 + 3748*k**4\/15 + 2008336*k**3\/15 + 45344704*k**2\/3 - 30767360*k = 0 for k.\nAnswer: -860, -156, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23797, 95186, 214161, 380716, 594845, 856542?\nAnswer: 1165801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*r**2 - 137*p**3*w**3 - 70*p**2*r**2*w**3 - 1059*p*r**2*w**2 + 3*p*w**2 wrt w.\nAnswer: -822*p**3 - 420*p**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 52 + 1355*z**3 + 2036*z**3 + 75.\nAnswer: 3391*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*n**4 - 44*i*n**2 - 2*i*n + i + 6*n wrt n.\nAnswer: 12*i*n**2 - 88*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 102. Suppose -3*g - 3*u = -5844, 2*u = -u + o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 4*y**5\/5 + 3*y**4 + 4*y**3 + 2*y**2 - 6. Factor v(d).\nAnswer: 4*d*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/9 + 398978*g**2\/3 - 59719118720*g\/3 + 22733682980600\/9 = 0.\nAnswer: 127, 299170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, 5, -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1169098 divided by -1.\nAnswer: -1169098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2917 + -2904. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**4\/24 + 11*f**3\/3 - 2*f**2. Let c(j) = j + 15. Let k(b) = -7*c(b) + 5*g(b). Let v = -17 - -23. What is k(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -16 - 48 - -37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*c + 15. Let n = c + 14. Solve 10 + 5 = -n*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58152 - 0.1873963.\nAnswer: -58152.1873963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-8) + (-697)\/3444)*-6. Let d = -0.44 + -0.06. Let t = -3 - -4. Which is the nearest to k? (a) t (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/16? (a) -5 (b) 39 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w - 2. Let r = 4045 + -4041. Put r, w, -17 in ascending order.\nAnswer: -17, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*h**2 + 597*h**2 + 606*h**2 + 1 - 1771*h**2.\nAnswer: 19*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515, 1478, 3097, 5384, 8351, 12010, 16373?\nAnswer: 21452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 3*v**2 - 8317 + 6385 + 1932.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 7 - 13. Suppose g + 1 = o. Solve -3*a + 9 + 6 = 3*f, 0 = 2*a - o*f - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73284851*w**3 + 73288*w**2 - 265.\nAnswer: -439709106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6. Let i be 3 + h + -2 + -37. Let r = -21 - i. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 53. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/349 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*t - 1 - 1 = 4*z, -33*t - 10 = -5*z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 102, 128, 172, 234, 314?\n\"Answer: 9*w**2 - w + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(99) + sqrt(99) + sqrt(99)*-1))**2 - (sqrt(99) - 3*sqrt(99)*-1)) + -5.\nAnswer: -12*sqrt(11) + 3559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -375, -375, -369, -357?\n\"Answer: 3*z**2 - 9*z - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 7*x - 3. Let n be o(3). Find the third derivative of -12*r**2 - 56 - 5*r**n + 56 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:19 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8035.88579 + 0.27579. Let p = -8102 - o. Let l = p + 66. Round l to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -591+-5.30729\nAnswer: -596.30729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l**2 + 594*l**2 + 107*l**2.\nAnswer: 724*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 7*s - 6. Let z be d(-4). Suppose -5*c + 16 + 4 = 0. Suppose -3*x - 40 = 5*o, -4*x - x - 30 = o. Put o, z, c in decreasing order.\nAnswer: z, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r + 16. Let v(q) = -6*q + 7. What is 5*v(h) - 2*z(h)?\nAnswer: -6*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 2307690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 64. Suppose l = -183 + y. What is the remainder when 15 is divided by (-1)\/(-2) + l\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 2)*((-36)\/(-6) + -3). Find the third derivative of 142*d**3 + c*d**2 - 2372 + 2372 wrt d.\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -2. Solve -t + i = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9940, 19830, 29666, 39448, 49176, 58850?\n\"Answer: -27*b**2 + 9971*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*h = 53 + 58 - 111 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s + 16. Let a be (-13 - -7)\/(2\/2). Let g = a - s. Sort 4, g, 5 in decreasing order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -4 (b) 3\/8 (c) 0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2102423 - 1489108. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/370766425 and 17\/8872.\nAnswer: 2966131400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50411\/9088 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ca + 706c1?\nAnswer: 704d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8383500 and 24300?\nAnswer: 8383500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (11 - -6) - 3) + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1913*o + 12*o**2 - 1908*o + 3808*o - o**2.\nAnswer: 11*o**2 - 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 10:17 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**4\/12 + m**3\/6 + m. Let w be y(0). Suppose w*o - o - 280 = 0. What is o rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2766177706.\nAnswer: 2, 1383088853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 32*r - 6. Give c(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 218? (a) 0.7 (b) -1 (c) -78 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 9. Let t be a(-6). Let f = 17 - t. Suppose -3*c = f*m - 792, -5*m + 2*c + 1568 = -393. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2\/15, -1\/6 in decreasing order.\nAnswer: -2\/15, -1\/6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3069, 3069, 3111, 3231, 3465, 3849, 4419?\n\"Answer: 6*b**3 - 15*b**2 + 3*b + 3075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -15, -19, -23?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhgt when four letters picked without replacement from hthmlmmgmqhtmmhmqmhh?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 41 = -0*s. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 217 - (-5)\/(0 + 5). Let t = s - 145. Suppose -4*a = -2*h - 187 - t, 2*h + 71 = a. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 948 and 118974?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8557\/18 equal to -476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 661 + 242. Let j = 205 - q. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4939211, 9878442, 14817701, 19756994, 24696327, 29635706, 34575137?\n\"Answer: r**3 + 8*r**2 + 4939200*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*w - 38*w + 47*w**2)*(-5*w**3 + 15*w**3 + 28*w**3).\nAnswer: 1786*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3 + 3)*(3*g - 3*g - g)*(14*g - 2*g**2 - 5*g**2 + 6*g**2).\nAnswer: 2*g**4 - 28*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -58*w + 6*w + 2*w + 11*w + 32*w - 78. Calculate i(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-11 - (-8 - 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 520 and 44720?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -12. Suppose -6*w + w = -n*x, 4*x + 4*w = 0. Solve x + 2 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31177*c*l*y**2 - 31*c*l*y - 337*l*y**2 + 6795*l wrt c?\nAnswer: 31177*l*y**2 - 31*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*g + 235*g + 350 = 0. What is the remainder when g is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.884744 kilograms?\nAnswer: 884744000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911*m - 29761 = 20877 + 4933 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o*o**(-2\/7))\/o))**25\/(o\/((((o\/(((o**(-2\/19)\/o)\/o*o)\/o))\/o)\/o*o)\/o)*o**(-1\/5)\/o))**(4\/25) assuming o is positive.\nAnswer: o**(155472\/16625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/15 + 152*q\/5 + 486 = 0 for q.\nAnswer: -15, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211.73 - -226.6. Round u to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (15 - (0 + 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1 + (3 - 4 + 0)*(4 + 2 - 7) - 2 - 1 + 1)*(-2*z + 0 + 0) - 5 - 2*z + 5 as n + x*z and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.9 - 0.1. Let x = 1.2 - 2. Let b = x + 1.1. What is the second biggest value in b, 3, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.42023 and -7.\nAnswer: -9.42023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + l + 173, -3*q + l = 2*q - 285. Calculate the highest common divisor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 3, -4, 50, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*q**4 + 6*q**2 - 9*q - 7156.\nAnswer: 28*q**3 + 12*q - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-0.0435.\nAnswer: 0.6525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8702556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4386 = 2*y - 5*q, -y - 2*q = -1447 - 764. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -323*g**4 + 4*g**3 + 8*g**2 - 24. Let q(t) = -322*t**4 + 5*t**3 + 10*t**2 - 27. Let i(f) = -10*h(f) + 8*q(f). Differentiate i(y) wrt y.\nAnswer: 2616*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*w = -402*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 662537, 662110, 661683?\n\"Answer: -427*i + 662964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6927005, -13854010, -20781015, -27708020, -34635025, -41562030?\n\"Answer: -6927005*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17501 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90\/(-4)*96\/(-120). Which is smaller: d or 115\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 2. Let c(l) = 4*l + 5*l**3 + 4*l**2 + 2 - 3*l**3 - 6*l**p - 3*l. What are the prime factors of c(3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 63, 82, 119, 180, 271, 398, 567?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/17)*f*f*f\/(f\/(f\/f**9)) assuming f is positive.\nAnswer: f**(-103\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2\/3, 12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5406506 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 26*r**2 + 134*r - 119. Let q be g(-18). Sort 3, 4, q, 2.\nAnswer: 2, 3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q - 2*k - 5, 0 = -q - 4*k - 4. Let i = -45 + 49. Let a be -4 - (i + -4 + 2). Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27177852 is divided by 633.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -14483732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 537. What are the prime factors of o?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from tsrutosuv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-99)\/22 - 1\/2. Sort x, 3, -3 in descending order.\nAnswer: 3, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2. Let o(h) = -39*h + 24. Let l(b) = -8*b + 5. Let t(x) = 24*l(x) - 5*o(x). Determine t(c(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63954154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 8:45 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4c (base 14) to base 6\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h - 4*q = 8, 14 = -2*h + 3*q. Let f = 8413.1 + -8413. Sort 81, f, h, -4\/3 in decreasing order.\nAnswer: 81, f, -4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -21*x**3 + 53*x**3 + x**2 - x**2. Does 11 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 215, 411, 577, 761, 1011, 1375?\n\"Answer: 8*b**3 - 63*b**2 + 329*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1327*a**3 + 4*a**2 + 19*a - 18. Let u be t(-18). Round u to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - p - 2*p + p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(119)*2*-2 - (sqrt(119) + sqrt(119)*-3*-4))\/(((-6*1*sqrt(252) - sqrt(252)) + sqrt(252))*-3).\nAnswer: -3 - 17*sqrt(17)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -10*d**2 - 171*d - 170. Let c be x(-1). Let s(o) = -5*o**2 - 7*o - 5. Let w(v) = -v**2 - 2*v - 1. Calculate c*w(u) + 2*s(u).\nAnswer: -u**2 + 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -15565\/3886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(0 + -1 + 24). Sort -0.4, p, 2\/5 in decreasing order.\nAnswer: 2\/5, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -10*d - 4. Let o be x(-1). Suppose r - 33 = -o. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 1. Let d = -18 + 23. Which is the biggest value? (a) -1 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -15.7. Let j = -169 + 166. Which is the biggest value? (a) j (b) 3 (c) -0.02 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3 + 15105*r**2 - 15110*r = 0. Calculate r.\nAnswer: -3022, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1378\/57539 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5011761 or 5011760?\nAnswer: 5011760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 12 + (-77)\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*g*w**2*z**2 - 7740620*f*g*w*z - 2*g*w**2*z + 88*g*w*z**2 - 3*g*z + w**2*z**2 + 2*z + 610 with respect to f.\nAnswer: -2*g*w**2*z**2 - 7740620*g*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-2)\/(-18)*-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 2:46 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 56*g**2 + 103*g + 21. Let m(j) = -18*j**2 - 34*j - 6. Determine 7*m(s) + 2*u(s).\nAnswer: -14*s**2 - 32*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 653357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbbbdzd. What is prob of picking 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 12. Let l(d) = d**2 + 4*d - 7. Let t be l(-5). Let p be 1 - (t - k) - 1. Solve -h = -4*f, h + p*h + 13 = 3*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 697*z**2 + 983*z.\nAnswer: 1394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 138624 = 25*m. List the prime factors of m.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-4*(-5)\/8. Suppose -5*q + 5*h + 85 = 0, 0*q - 33 = -q + z*h. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21 - (8 + (-621)\/(-54)). Let r be 8\/(-13) + 0\/(-2). Which is the fourth biggest value? (a) u (b) 1 (c) 1\/3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0) + (-2 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -11*j + 15*j. Suppose -5*v - 7 = 2*z, -3*z - v + 17 = v. What is the highest common divisor of j and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3316\/6033 + 14045587\/8066121. Let t = w - 1\/191. Solve 12\/7 + 4\/7*s**2 - t*s = 0 for s.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91786 (base 13) to base 9\nAnswer: 436347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18548245, 37096486, 55644727, 74192968, 92741209, 111289450?\n\"Answer: 18548241*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 13*f. Let q be m(-12). Let r be ((-2)\/8)\/(3\/q). Suppose 4*z + r = 2*t + 3*z, -3 = -2*t - z. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - 31*g - 10. Let d be a(8). Is (-16115)\/d + (9\/6)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131204384 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.2243 - -15.9669. What is t rounded to one dp?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3290, -3119, -2834, -2435?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399515 divided by 79903.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -1)**2 - (-5 + sqrt(8)\/sqrt(4)).\nAnswer: -5*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -208, -0.1, -114, 0 in descending order.\nAnswer: 0.18, 0, -0.1, -114, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4982*y**2 - 12962*y**2 - 114 + 97 + 17)*(6*y**2 - 4*y**2 - 4*y**2) as l*y + h*y**2 + j*y**3 + s + z*y**4 and give z.\nAnswer: 35888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*o**2 + 33*o - 2*o - 18*o - 243*o**2 + 32*o.\nAnswer: 2*o**2 + 45*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-2\/9)*t)**(-9\/5)*(t**(-6)\/t)\/t**8)**(-6\/31))**40 assuming t is positive.\nAnswer: t**(4800\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 11*w + 3. Give u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (15 + -9 + -13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 21453448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1921, -3846, -5769, -7690, -9609, -11526?\nAnswer: -13441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 12*c - 126. Let r be d(11). What is the highest common factor of r and 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-4) + 0*1\/2. Suppose k - 19 = -2*p. Find the third derivative of p - 6 + 24*y**5 - 2*y**2 - y**5 wrt y.\nAnswer: 1380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d**2 - 125*d + 2102?\nAnswer: 12*d - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 4 (c) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 9*p**2 + p + 24. Let f be z(9). What is the third derivative of -286*i**2 - 264*i**4 + 29*i**2 + f*i**2 wrt i?\nAnswer: -6336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8730 is divided by 673?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/17)\/l**(-25) assuming l is positive.\nAnswer: l**(427\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-14)*g)**(18\/11)*(g*g**26)\/g**10)**(-18) assuming g is positive.\nAnswer: g**(846\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*t)*(8*t + 6*t - 8*t) - 2*t**2 - t**2 + 2*t**2 + 7*t**2 + 3*t**2 - t**2 to the form b*t**2 + o + y*t and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0 + (-3 + 1 + 1)*(-3 + 7 - 3) + 1 + 0 - 4)*(-3*n**5 + 0*n**5 - n**5).\nAnswer: 20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*g + 2*g + 2*g)*(-5*g + 0*g**2 + 4*g + g**2 - 1) to the form d*g + w + i*g**2 + r*g**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(153)*-1)\/(sqrt(144)*-5)*2.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(343)*-4)**2 + 1 + 3.\nAnswer: -21948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/(-6)*4\/(96\/54). Do z and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - 5. Let a = t - -36. Calculate the common denominator of a\/(-16) - 872\/384 and -65\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + s - 1314 = 0, -s + 6 - 8 = 0. Calculate the remainder when t is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 - o)*(-1 - 1 + 0) + 7*o + 8 - 8)*(o**3 + 0*o**3 + 0*o**3) as l*o**2 + u*o + r + k*o**4 + g*o**3 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14124687.\nAnswer: 3, 311, 15139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 118 = 38. What is the remainder when 79 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -366 + 360 + (-1 - 32)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-7)*(-3)\/18*-56?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 - 6033*p\/4 + 12018.\nAnswer: 3*(p - 2003)*(p - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 8*s - 1089. What is the remainder when s is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - -3.9. Let i(u) = u**2 - 12*u + 10. Let q be i(11). Put 0.2, c, q in descending order.\nAnswer: c, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -29\/50 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27237, 54488, 81755, 109032, 136313?\nAnswer: 163592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -56 + 1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:33 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjjqqjmsryqsy. Give prob of sequence jjr.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11832, 47511, 107000, 190293, 297384, 428267, 582936, 761385?\n\"Answer: -f**3 + 11911*f**2 - 47*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -97. Let t be ((-68)\/m)\/(4\/(-8)). What is the greatest common factor of 153 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a**0*a)**(-24))**(-16))**(1\/23) assuming a is positive.\nAnswer: a**(1536\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -8*h - 4. Let f be (-2)\/(h\/(-8)*-1). Find the third derivative of 10 - f + 24*z**3 + 23*z**2 + 6 wrt z.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2883 is divided by 324?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/20 and -31\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-55)\/(-33)*(-1)\/8.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b8730 - 74?\nAnswer: b8678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-330)\/(-40) + -8)*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v**4 + 28*v**4 - 393*v + 1489876 - 232*v**2 - 1490034 - v**5 + 82*v**3 = 0.\nAnswer: -1, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19722 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196692 is divided by 241?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 4, -3 in increasing order.\nAnswer: -63, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/8 + (-1)\/4. Solve -p*b = -2*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d**5 + 11*d**2\/2 - 7. Find the second derivative of k(o) wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - l = 19, c + 2*l = -2*c + 16. Let s be (-1)\/3 + 26\/c. Let u(h) = -h**3 + 6*h**2 - 4*h - 3. What is the tens digit of u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7804 divided by 19\nAnswer: 7804\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1999047, 1999043, 1999023, 1998987, 1998935?\n\"Answer: -8*k**2 + 20*k + 1999035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33044 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l**4 + 9*l**3 + l**2 - 21*l - 14. Let t(d) = -1 - 3*d + d**2 + 366*d**4 + 2*d + d**3 - 365*d**4. Let n(s) = -3*g(s) + 24*t(s). Factor n(h).\nAnswer: -3*(h - 3)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 418271467.35 + 1.\nAnswer: 418271468.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6008 and 14?\nAnswer: 42056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**2\/2 - y + 9. Suppose -2*w - w = -2*i, 2*w + 10 = -2*i. Let t(b) = -3*b + 1 + 0 + 0 + 0. Give w*t(h) - 4*g(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103774910 is divided by 139?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.3821233 to one decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -798 + 517. What is m rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34288 is divided by 11148.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1531, -1532, -1533?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 s when three letters picked without replacement from hhssohh.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1894 and 51?\nAnswer: 96594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 60580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*138.25.\nAnswer: 6.9125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v = 42*v + 28678. Is v 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 jffffjfff. Give prob of picking 2 f.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhhhhhhfhhxfhf. What is prob of picking 1 f, 1 x, and 1 h?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 16 = w - j, 2*j - 5 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-12) + 12082\/42 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 65*p**2 - p + 1. Let n be u(1). Let f = -37 + n. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*i**3 - 4*i**2 - 35*i**3 - 26*i**3 + 20*i - i**2 + 1 to l*i**3 + s + a*i + b*i**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:26 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Suppose -6 = 3*i, -3*g - 4*i + 2*i - 13 = 0. Let t(x) = -4*x - 4. Calculate g*t(j) - 10*c(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92.5 - 92. Which is the fourth biggest value? (a) -2\/13 (b) 4 (c) o (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 258345584 a multiple of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43411.\nAnswer: 43411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.65, -1, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1101001101001010111 (base 2) to base 15\nAnswer: 88337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 1, a: 2, u: 1, v: 1, w: 1}. Give prob of picking 1 w and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from xororrqroor?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*x**5 + 1795821*x**4 - 31165110*x**3 - 19927284*x**2 - 2869560*x = 0. Calculate x.\nAnswer: -2\/5, -2\/9, 0, 18, 13285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 369.96 * 347.1.\nAnswer: 128413.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.51 + -0.34. Let n = z - -0.03. Suppose -s - 3 = 4*i, -3*i - s = -i + 1. Which is the third smallest value? (a) -0.4 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334278369 to the power of 1\/2, to the nearest integer?\nAnswer: 18283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7*x + 58 = 137, -4*u + 5*x = -65. What is the lowest common multiple of 5224 and u?\nAnswer: 26120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88791.\nAnswer: 3, 17, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 10*q**2 - 54*q - 365. Give k(-17).\nAnswer: 2576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -92, -33, 22?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -5 + (-88)\/(-8) + -5 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 5*s + 3*s - 23*s**3 + 935806*s**2 - 935788*s**2 + 5 to v*s**2 + l*s**3 + q*s + j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 1\/60*z**5 + 7\/24*z**4 + 0*z + 0 - 7\/6*z**3 - 28*z**2. Calculate g(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4517 (base 11) to base 5\nAnswer: 142242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.7957 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4716.7 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(424\/634) + -434 + 440?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 261.2 - 262. Let f = 6.75 - 6. Let v = f + j. Which is bigger: v or -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (22 + -10 + 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -108. Suppose -j*l + 23*l + 6 = 0. What is the remainder when 34 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295\/29 - -827\/87. Put -1\/2, -3, 522, -2, v in decreasing order.\nAnswer: 522, -1\/2, v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 4 - 4)*(0*w**2 + 4*w**2 - 2*w**2)*(1 + w - 1) - 18*w**2 + 18*w**2 - 4*w**4 in the form n*w**3 + p*w**4 + q + u*w**2 + k*w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320 - 399 = -u + 2*z, 4*u = 4*z - 3688. Let d = u - -925. Find f such that 3\/2*f**d - 12 + 21\/2*f = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -230*c**4 + 9*c**2 + 6*c wrt c?\nAnswer: -5520*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u + 22*u - 2 - 2 + 57*u. Let v be k(-3). Let n = -1851\/7 - v. Calculate the common denominator of -68\/3 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -172, -269?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118384 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -2 + (-12 - 1) - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5 + 18292*l**4 - 18296*l**3.\nAnswer: 4*l**3*(l - 1)*(l + 4574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 = -35. Let a be (-20)\/(-15)*9 - 2. What is the greatest common factor of p and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1*sqrt(576) - sqrt(576)) + sqrt(576) - sqrt(576))*-4)\/(5*-2*(sqrt(36)\/sqrt(3) - sqrt(3))).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 8. Suppose -5*b - 2*k = -11 - 15, g*k - 12 = 0. Determine j, given that 0*j**4 - 2 + 4*j**2 - j**b - j**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -22. Suppose y*u = 11*u - 12. Suppose -u*p + 57 = 1. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (0 + 0 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q)\/q)**(-5\/12)\/(q**(-3\/11)*q\/(q\/(q\/(q**(-7)\/q*q)))) assuming q is positive.\nAnswer: q**(-565\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102, -222, -358, -510, -678, -862, -1062?\n\"Answer: -8*s**2 - 96*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((165\/10)\/11)\/(6\/16). Solve -2*n - y = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 744450.\nAnswer: 1\/148890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1\/1)*0\/(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 88 = l - 5*l, 4*h - 5*l = 90. Find the first derivative of -7*t - h - 2*t + 3 + 1 wrt t.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 2:07 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -281119003*a*b + a*x + 14038*b*x + 16*b + x + 1 with respect to a.\nAnswer: -281119003*b + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/339 in -7, -2, 5, -1\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**4\/42 - 13*b**3\/14 - 19*b**2\/14 + 19*b. Factor z(p).\nAnswer: -(p + 19)*(2*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83237 and 39997?\nAnswer: 3079769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5134922.\nAnswer: 2, 13, 41, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 5*d**2 - 1 + 6*d**2 + 0*d**2. Let b be z(-1). Find the common denominator of b\/(-9) - (-152)\/(-126) and 52\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/3 + 3*1. Let z = -893 + 911. Solve 0 = -0*h + h - k - 1, -2*h = o*k + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 1. Let r be q(-1). Let i = 7 + -5. Let b be ((-1)\/r)\/(i\/16). What is the nearest to 1 in b, 0.2, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 2*u + 8)*(0 + 2 - 1)*(-76 - 33 - 61 + (0 - 6 + 5)*(0 + 6 - 2)) as h + d*u and give d.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -0.01243442.\nAnswer: 14.01243442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + a - 2)*(-2*a + 2*a - a) + 1641*a - 1641*a + 30*a**2)*(-7*a - a + 0*a) as m*a**2 + d*a**3 + j*a + r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/12 and ((-2)\/4)\/((-35)\/(-15)*12).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5784557053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {u: 2, x: 2, p: 3, a: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 5. Let q be u(5). Let n = 322 - 321. Suppose -2*j = 6 - 2. Sort n, q, j in decreasing order.\nAnswer: n, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3967.609551 plus -59.5?\nAnswer: 3908.109551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 0. Let o = -16 + p. Let t be o\/(309\/(-102) - -3). Calculate the highest common divisor of 34 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/11, 10, -4, 32, 2 in increasing order.\nAnswer: -4, -1, 2\/11, 2, 10, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1189 take away -1.8583788296?\nAnswer: -1187.1416211704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6 - 6*l**3 - 3*l**3 - 29*l + 29*l. Let t(c) = 8*c**3 + 5. Determine 6*t(z) + 5*x(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -296*k**2 - 2*k + 5. Let w be i(4). Let f = w - -16366\/3. Let d = -726 + f. Calculate the common denominator of 39\/5 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 47, -3, 447, 1 in decreasing order.\nAnswer: 447, 47, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159630960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/82929?\nAnswer: 1\/82929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 3630601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1654897 or 0?\nAnswer: 1\/1654897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/179 (b) -0.023 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnnpnnxnxxnpj. Give prob of picking 1 x and 1 p.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 13 + -8 + 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g - 199 = -327 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24670657 (base 8) to base 2\nAnswer: 10100110111000110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*((c\/((c**(-3\/2)\/c*c)\/c*c))\/c)\/c*c))**(-1\/7)\/(c*c**(-3\/7)*c*c*c*c\/c**(-5)) assuming c is positive.\nAnswer: c**(-131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 3389. Let k = 290 - 290. Is f(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 155 + 7*j - 8*j + 31 + 20.\nAnswer: -j + 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -8. Let w = -5 + 8. What is the second smallest value in z, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0 (c) -0.6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -148082.63 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073 to 4 decimal places.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-9)\/3)*1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -4, -3, -5, 2, -8, -2 in ascending order.\nAnswer: -29, -8, -5, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 2*u**2 + 6*u**2)*(4*u**2 - 2 + 2) + u**4 + u**4 + 0*u**4.\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 23*t**2 + 8*t + 56. Calculate o(-23).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 224046460 a multiple of 1595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -320 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173 + 10*r - 345 + 159 to l + y*r and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/7409 and -151\/432.\nAnswer: 3200688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211579 - 3802*m + 211579.\nAnswer: -3802*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -1 (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -732*-2.\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 5*g - 7*g)*(-3 - g - g + 2).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -252, -5556, 5 in decreasing order.\nAnswer: 5, 4, -2, -252, -5556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:03 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1493158641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 3*s**2 + s. Let v be m(3). Calculate the greatest common divisor of v and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:09 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -24. Let j(k) = 5*k**2 + 4*k + 2. Let x(d) = 6*d**2 + 5*d + 2. Determine h*j(w) + 3*x(w).\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = 176. Suppose w + 3*u = 59 + 8, 3*u + 116 = 2*w. Suppose b + 57 - w = 0. Calculate the lowest common multiple of i and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1*sqrt(1700)*2 - sqrt(1700))*6 - (sqrt(1700) + sqrt(1700)*-1 + 2 + (sqrt(1700) + 0)**2*4)).\nAnswer: -6802 - 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 + 3754241*f - 3754241*f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 67865 = -2*c, 0*u - 3*u = c - 33931. Suppose 0 = -3*o - o + 5*y + c, 8485 = o - 2*y. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 965289.3 + -666858. Let n = v - 298751.3203. Let u = n + 320. What is u rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242.8514 decades to years.\nAnswer: 2428.514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13598883?\nAnswer: 3, 29, 52103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59553563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8127281\/252 - 32251. What is the common denominator of s and 109\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4123*f**4 + 2*f**3 + 6*f**2 + f + 268?\nAnswer: -98952*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 6*a + 9. Let h(l) = -l + 22. Let v be h(15). Determine u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2051 = 2049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:27 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 + 388 = 5*a - m, 4*m = -20. Suppose -19*y = a - 3213. Calculate the greatest common factor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135*i**4 - 178.\nAnswer: 540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-391) + 12\/374?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2 = -3*g, -3*g = 2*g + 5*d - 10. Suppose g*t - 13 = 3. Let j(a) be the third derivative of -a**4\/12 + 5*a**3\/6 - a**2. Determine j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4327588154.\nAnswer: 2, 37, 89, 657089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 597919452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 322 + 103*w**2 + w - 325 - w as l*w**2 + q*w + p and give l.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/20)\/q*q)\/q)\/(((q*q*q**(-2\/9))\/q)\/q) assuming q is positive.\nAnswer: q**(-131\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-92))\/((-22)\/(-20)). Let z = m + 11\/23. Is z at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268381029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(14))\/sqrt(7)*5 + sqrt(10)\/sqrt(5)*-3 + sqrt(22)\/(sqrt(11) + sqrt(66)\/sqrt(6)))**2.\nAnswer: 13225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 - 198*y + 2*y**3 + 196*y + 3 - 4 - 4*y**4 to the form n*y**3 + h*y**2 + d*y + l + u*y**4 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tww when three letters picked without replacement from titwttw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mng when three letters picked without replacement from ggemggeggmn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2\/20 - ((-680388)\/120)\/31 and 19?\nAnswer: 3477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1\/(-2) + 45\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 + 8)*(5*o + 990 - 9*o - 921).\nAnswer: -80*o + 1380","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20390786 divided by 1?\nAnswer: 20390786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -17, -111.\nAnswer: -111, -17, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 72?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20064*d**2*y + 11*d**2 - 2*d*y + 125882*d wrt d.\nAnswer: -40128*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/5 + 689958396*g\/5 + 59505323526361602\/5 = 0. What is g?\nAnswer: -172489599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -125, -403, -683, -965, -1249, -1535?\n\"Answer: -h**2 - 275*h + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**1*i))**(-4\/7))**(-1\/6) assuming i is positive.\nAnswer: i**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 47*h = 61*h + 1080, 5*a + 8*h + 10 = 7*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -18190, 0, 108 in decreasing order.\nAnswer: 108, 31, 0, -18190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 15*g - 17*g + 2 = 0, 12 = 5*j + g. Let k(s) = -54*s**j + 3*s + 68*s**2 - 4*s + s + 1. Give k(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + 6*a**2 + 5*a**3 - 5*a - a**2 - 4*a**2 as u*a**3 + v*a + t*a**2 + g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4997 is divided by 774?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let p = 103 - 101. Let m be 3\/6*(-2)\/(-9). Which is the nearest to p? (a) g (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**2 + 6*b. Let q(m) = -6*m**2 + 7*m. Let a(z) = -6*q(z) + 7*x(z). Let r(g) be the first derivative of -5 - 7\/2*g**2 + 0*g. Calculate a(r(n)).\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62.2 - -69. Let i = 2 + l. Let y = i - 9. What is the nearest to -7 in y, 1, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -47, 33, 271, 739, 1509, 2653?\nAnswer: 4243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*p - 3*t - 13, 17 = -2*p - 5*t. Let d be (1 - (-52)\/(-8))*(11 - p). Let r be d\/(-4) - 18\/12. Which is greater: 14 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 2*h - 4. Calculate l(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8890*l - 1021 + 2000 - 979 + 8892*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -1\/24*y**4 + 0 + 0*y**2 - 1\/16*y**5 + 7\/120*y**6 - 4*y + 0*y**3. Find q such that d(q) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119650 and 7255576.\nAnswer: 4786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 + 507*o**3 + 221409*o**2\/2 - 9034740*o + 158776200.\nAnswer: (o - 33)**2*(o + 540)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.1076 centuries to decades.\nAnswer: 1941.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 5\/6*a**3 - a**2 + 0 - 1\/24*a**4 + 0*a. Let p(o) = -15*o - 85. Let h be p(-6). What is f(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/15 (b) -0.06 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z - 51. Let g be m(-6). Suppose g*p - 100 = -p. Let k(w) = w**3 - w**2 + 6*w - 2. What is the smallest common multiple of k(4) and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 135.4463nm?\nAnswer: 0.0000000001354463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211100 - -20001111022?\nAnswer: 20000122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + (-510)\/(-25). Let z be (-2)\/(-2)*0*(-2)\/4. Let s = z - -30. Calculate the greatest common divisor of c and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -220 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621982 is divided by 3420?\nAnswer: 2962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (3 + -1)) + 78 + (-1 + -9 - 27)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -5 + 15 - (9 + 0 + 2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*a**2*f*y + 45828*a**2*f + 2*a**2 - 8*a*f*y + 7*a*f + 1048*a*y wrt y?\nAnswer: 19*a**2*f - 8*a*f + 1048*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, c: 2, q: 6}. What is prob of picking 1 c, 2 q, and 1 n?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1449*v**3 + 2441*v**3 - 7113*v**3.\nAnswer: -6121*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) + sqrt(153) + 3 + sqrt(153) + 0) - -6*(sqrt(51)*-1*-4)\/sqrt(3))**2 + 1.\nAnswer: 54*sqrt(17) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 10. Let i(l) be the second derivative of l**4\/12 - l**3\/3 - l**2\/2 - l. What is the units digit of i(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-136136)\/(-16) - ((-9)\/2)\/(-3).\nAnswer: 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*z + 481*z - 153*z - 166*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388 and 67997.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(1\/9))\/l)**28)**(6\/31) assuming l is positive.\nAnswer: l**(56\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -661247867\nAnswer: -661247872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44415 and 1524?\nAnswer: 22562820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6342624 milligrams?\nAnswer: 0.0006342624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90594.6 nanoseconds in minutes?\nAnswer: 0.00000150991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39455.5713 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 12*a + 11. Let w be m(11). Suppose -11 = -i + 2*d, -i - i - d + 7 = w. Suppose -4*v + 2*s - i - 1 = 0, 0 = -s + 3. Solve -3 = 3*f - v*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124211?\nAnswer: 223, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 479? (a) -347 (b) -3 (c) 3 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 2842*z**2 + 1 + 4*z**4 - 2844*z**2 + 5694*z**2 - 4*z to the form c*z**4 + g*z**2 + d*z**3 + n*z + j and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3 + 3)*(-15 + 20 + 36) + 354*u - 9*u - 546*u - 945*u - 704*u.\nAnswer: -1768*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/13? (a) -2110 (b) -4 (c) 0.3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1, 308, 83, 2 in descending order.\nAnswer: 308, 83, 2, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3681755002 - -54857.\nAnswer: -3681700145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2169*c - 2. Let y be r(4). Suppose 0*l + 22392 = -5*t + l, -l + 17914 = -4*t. Let u = y - t. Round u to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23514 - 24.\nAnswer: -23538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -454, -779, -1246, -1903, -2798?\nAnswer: -3979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 28*o - 24. Let v be k(31). What is the highest common divisor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o - 30, -5*p + 18 + 17 = 4*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -13*o**3 + 690*o**2 - 50*o - 55. Determine u(53).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -4 (b) 1878 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-30)\/4) - (-116)\/10. Solve 0*j - v = 4*j + 4*g, 5*j = 2*g - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 123*u - 3. Let h be b(2). Suppose 3*i + 4*d = h, -53 = -i - 4*d + 20. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(-26\/7)\/(j**(-7)\/j**9))**(-16\/9) assuming j is positive.\nAnswer: j**(-320\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 10:12 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 7:52 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.369 * 216791\nAnswer: -296786.879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 4*b - 2. Let t be f(-10). Suppose 12*w = 13*w + t. Let y = -40 - w. Let u(p) = p - 1. Let m(g) = 15*g - 18. Calculate y*u(a) - m(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17545*g - 1081 = -17522*g for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*a**2 + 70*a**2 - 16*a**5 + (-114*a**3 + 42 - 42)*(0*a**2 - a**2 - a**2).\nAnswer: 212*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 898, 1795, 2692, 3589, 4486?\nAnswer: 5383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5331 or -47974\/9?\nAnswer: -47974\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4206c8 (base 13) to base 5\nAnswer: -343342342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {i: 1, v: 3, c: 11}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 6*i - 11. Let z be y(8). Suppose -z*c + 15 = -0*c. Suppose o = 9 - c. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - n = n, 0 = -2*y - 3*n + 13. Suppose -5*v + 19 = -4*v + 4*k, -y*v + 5*k = 14. Determine z so that -8\/13*z**2 + 8\/13*z + 0 + 2\/13*z**v = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 3*o**2 - 1. Determine c(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 90. Let h be v(-26). Calculate the highest common factor of 29 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 4, 1 in decreasing order.\nAnswer: 9, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -28*h + 115 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458 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: Expand (-5999*k**2 - 3191*k**2 + 3836*k**2)*(-5*k**3 + 2*k**3 + k**3).\nAnswer: 10708*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104332033 - 2?\nAnswer: -104332035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1259730 to the nearest ten thousand.\nAnswer: 1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -14 - 10. Suppose a*z = -4*w + 9, -2 - 1 = 2*w - z. Suppose w = 9*u + 145 - 2161. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9)*0\/8. Solve t = -2*x - 0*a + 4*a - 12, 3*x + 2*a = 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -777, -10, -4, -2 in decreasing order.\nAnswer: -1, -2, -4, -10, -777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(99) - (sqrt(99) + sqrt(99) + -1 + sqrt(99) + 2) - sqrt(99))**2 + sqrt(99) + (((sqrt(99) + -4 - sqrt(99)) + sqrt(99))*3)**2) + 5)*2.\nAnswer: -7698 + 780*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 2\/5, 3, 0.8, -5 in descending order.\nAnswer: 3, 0.8, 2\/5, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*x - 134 = 81, -4*s + 905 = -3*x. What is the highest common divisor of s and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*d**5 + 1635*d**2 + 329825*d?\nAnswer: -440*d**3 + 3270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-4\/3))\/(n*n**(1\/2)))\/(n**0\/n*n)**(-49))**22 assuming n is positive.\nAnswer: n**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 101111 (base 3) to base 12\nAnswer: 1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = s - 6*s + 2*k, -5*k = 2*s - 13. Let t be 3 - (-2 + s)*20\/(-15). Calculate the remainder when 20 is divided by ((-1*88\/4)\/2)\/t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5622*3\/(-6) + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789107?\nAnswer: 11, 23, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2 + 1880*v + 3740 = 0?\nAnswer: -374, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-22)*-5*(-8)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2344 and -19.\nAnswer: -44536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 831320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q - 172 = 0. Suppose -2*t + 0 = -4, q = 5*y - t. Calculate the highest common factor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 648954.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 52 = -6*y. Let t(x) = x**3 - 13*x**2 + 4*x - 5. List the prime factors of t(y).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + sqrt(76)*-2)*-2)\/sqrt(4) - 5*(sqrt(19)*2)**2*2.\nAnswer: -760 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - 4*a)*(15428*a**3 + 1 - 129 + 2 + 126).\nAnswer: -61712*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6682, -6694, -6706, -6718, -6730?\n\"Answer: -12*g - 6670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*o - 15, -136*m + 10 = -138*m + 2*o. Solve m*p - p = y + 1, 5*p = -4*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/(-6)*(-15)\/10. Let z be (2 - v\/3)\/((-1)\/15). Solve z = -d - 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*p + 20 = 0, -2*p = 2*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*(-4)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 3)*(-3 - -2). Let s = 104 + -109. Sort -1, z, 3, s in descending order.\nAnswer: 3, z, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -1480.\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**2*v**3*x + n**2*v**2*x**2 - 3*n**2*v**2*x + 1494*n*v*x + 2*n*v + 2790884*v**3*x**2 + 2*v**2*x**2 + v*x**2 wrt v.\nAnswer: -12*n**2*x + 16745304*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*k + 2*s, 5*k - 2*s + 20 - 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -24.7. Let h = x + -0.7. Let t = h + -4. Which is greater: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -120333?\nAnswer: 120320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195292961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/17 - 2\/17*t**2 + 0*t = 0 for t.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.086775 - -0.087. Round n to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5182 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.013 - 0.013. Let k = -28 - -32. What is the second smallest value in 0.5, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86292595039 take away -0.095?\nAnswer: 86292595039.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5200))*-2.\nAnswer: -40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 17512?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + o**4 - o**4 + (4*o + 0*o - 3*o)*(o**3 + 2*o**3 - 2*o**3) + o**4 - o + o + 2*o**3 - 2*o**3 - o**4 - 33563 - 579*o**4 + 33563.\nAnswer: -579*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 5.051851421.\nAnswer: -4.951851421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20176\/3880*((-75)\/(-12))\/(-5)*6*1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -117 * 22\nAnswer: -2574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) - (sqrt(154) + (1*sqrt(154)*2 - sqrt(154)) - sqrt(154)))\/(-2*sqrt(1331)))\/(6*(sqrt(2304) + -5*sqrt(2304))\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.62 - 0.12. Let f = -0.17 - 10.83. Let x = 7 + f. What is the smallest value in 0.4, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 - 4*u + 55. Let a(f) = -4*f**2 + 3*f - 54. Calculate -4*a(i) - 3*n(i).\nAnswer: -2*i**2 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 86 - (3 + 3) - 0. Suppose 0*f - 3*f + 60 = 0. Calculate the greatest common divisor of t and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) 0.41745 (c) 51.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e7064 (base 16) to base 7.\nAnswer: 22645616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 2 - -4 - (-7)\/(-4). Factor 0*a - u + 1\/4*a**2.\nAnswer: (a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b - 5. Let u be ((-18)\/(-4))\/(6\/8). Does 25 divide q(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*d - 25 = -d, 2074*g + 2*d + 2160 + 4042 = 4*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s + 15. Let c be u(-1). Let f be (-15)\/(-4) - 2\/(-8). What is the second derivative of -k**f + 3*k + 2*k**c + 2*k**4 wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j + 11. Let n(u) = -5*u - 5. Give -3*b(p) - 7*n(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 1 + 1. Let r be (18\/4 - 4)*14*j. Calculate the greatest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42881 = 5690*s - 243130 + 12891 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 + -5205?\nAnswer: -5115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164500*p - 8*p**3 - 164491*p - 164496*p + 493487*p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, d: 1, v: 1}. What is prob of sequence vvd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228585.\nAnswer: 5, 23, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3429836, 3429853, 3429894, 3429971, 3430096, 3430281?\nAnswer: 3430538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 48*g**2. Let j(w) = -123*w - 9. Let z(c) = -55*c - 4. Let l(y) = -4*j(y) + 9*z(y). Give l(v(d)).\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 72*d + 272.\nAnswer: (d + 4)*(d + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 155*n**2 + 3*n + 9. Let q(k) = k**3 + 124*k**2 - 3*k - 10. Determine 4*c(b) + 5*q(b).\nAnswer: b**3 - 3*b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - k - 5*r + 42, -2*k = -r + 42. Let n = -8 - k. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -60a26?\nAnswer: -60a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/((-4)\/18). Let z be (41813\/s)\/((-6)\/666). Let v = -987081 - z. Round v to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*o**3 - 2 - o + 46*o**2 - 157*o**3 - 2*o**4 as r + c*o**4 + p*o + m*o**2 + n*o**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 4*x + 4*x - 2*x**3 + 3*x**3 + 1 + 4*x. Determine y(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24 and (8\/6)\/(15\/(-54))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -16*q**2 - 2*q + 175. Let a(x) = 13*x**2 + x - 175. Calculate -6*a(r) - 5*n(r).\nAnswer: 2*r**2 + 4*r + 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-325)\/(-39) + -9)*(2 - (-85)\/(-50)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -954 divided by -91314?\nAnswer: 53\/5073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 73, 96, 135, 190?\n\"Answer: 8*a**2 - a + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 11:12 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*g + 18 = 0, -3*j + 0*j + 27 = 2*g. What is the highest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 44 = 40*z + 21*q, 0 = 2*z + 5*q + 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 39. Suppose 3*a = 71 + u. Calculate the remainder when a is divided by (-1)\/(-1*(-2)\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2579*g + 1048*g + 9479174 - 9479174 to t*g + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35970 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.4 (c) -914\/5 (d) 0.3 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b**(2\/13))\/(b**(-7)*b*b\/b**2*b))**(3\/10) assuming b is positive.\nAnswer: b**(357\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -2*i**3 + 4*i**2 - 2*i - 4. Let s(v) = -13*v**2 + 17*v - 4. Suppose -4*t - 9 = 27. Let h(m) = t*a(m) + 4*s(m). Factor h(g).\nAnswer: 2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n - 7. Let o(b) = -1. Let r(t) = -f(t) + 4*o(t). Let g(d) = -6*d - 4. Let m = -4 - -8. Give m*g(l) + 5*r(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 40. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r*r**(2\/13))*r*r*r*r*r**(-1\/3)*r**(-4\/13)*r*r**13)**(-19\/6) assuming r is positive.\nAnswer: r**(-12749\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1635*m + 1625*m = 60 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 33, 88, 199, 384, 661?\n\"Answer: 3*p**3 + p**2 - 7*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 7:18 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -6. Let q be (-24)\/(-18)*-3 - -5 - -4. Suppose -3*t = -4*j, 29 = q*t + j + l. Solve 0*z = 3*z + 4*w + 1, t*w = 4*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*b - 141 + 146 + 2*b**2 - 194*b to q + u*b + i*b**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-5)\/(15\/(-6)). Let c(d) = 3*d - 3. What are the prime factors of c(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.824 rounded to 1 dp?\nAnswer: -24.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1616016ml?\nAnswer: 0.0001616016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(117) - (sqrt(117) - sqrt(117)*2))*3 - sqrt(117)) + sqrt(117)))\/(sqrt(108)\/(sqrt(12)*-2) + (sqrt(108)\/sqrt(3))\/sqrt(4)).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1891 is divided by 112.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*h**2 + 60*h**2 - 272*h**2 + 78*h**2 + 57*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppphhppphphpphbbp. Give prob of sequence php.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*a = -2*a + 19, v - 5*a = -21. Let s be (4 + -9 - -11) + (-4)\/12*21. Is (v - 2*-195)\/(s\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 20*y + 152. Solve -9*b + 28 - y = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-63)\/35)*(-2)\/(-10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105917, 105852, 105677, 105338, 104781, 103952, 102797, 101262?\nAnswer: 99293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c + 8. Let y(t) = -4*t - 19. Let r be y(-6). Let s(q) = -3*q + 5. Let b(f) = r*m(f) - 8*s(f). Let j(a) = -11*a**2. Determine b(j(d)).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -7. Let t = 13 + -8. Let p = j - t. Solve 8 = 4*x + p*w, 5*w = x - 2*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 88\/(-12) + (-1)\/(-3). Let r = 35 + m. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -4.8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 7*b + 3. Let x(n) = 2*n + 1. Let v(j) = -j + 10. Let t be v(0). Let y = t - 3. Let r(c) = y*x(c) - 2*s(c). Differentiate r(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 a factor of 42627590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 11*o**2 - 626509*o**3 - 14*o**2 + 2*o**2.\nAnswer: -626509*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12000867, -24001739, -36002611, -48003483, -60004355?\nAnswer: -72005227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(-39\/5))**(-36)*y**(-3)*y*y**(-3)*((y*y*y\/(y\/((y**(-2\/3)*y)\/y)))\/y)**14 assuming y is positive.\nAnswer: y**(4207\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1834 - 1838. Put -30, 4, y, -5, 18 in decreasing order.\nAnswer: 18, 4, y, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38802.6 + 38802. Let w = 0.05 - -0.25. Let q = -0.3 + w. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*p + 32, -p - 5*n = 2*p + 48. Let q = -13 - p. Suppose 0 = -2*d + q + 1. Solve d*k = 3*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.582 + 0.008. Let b = i + 0.41. Sort b, -3, 2\/3.\nAnswer: -3, 2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Let n(i) = 2144*i**2 - 7*i - i**3 + 4 + 2140*i**2 - 4278*i**2. What is n(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(1300))**2.\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2382.5 - 2381.5. Which is the third smallest value? (a) -2 (b) 83\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12447624 by 1555953.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a6654 (base 14) in base 9?\nAnswer: 1682018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/340 and 32\/2125.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7896 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1584) - sqrt(1584) - sqrt(1584)) + 1 + (5*(-1 + sqrt(1584)))**2.\nAnswer: -660*sqrt(11) + 39626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11124 (base 5) to base 8\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/5 + 5582*j**3\/5 + 7784097*j**2\/5 - 15584944*j\/5 + 7795264\/5.\nAnswer: (j - 1)**2*(j + 2792)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 - 112 + 1762 = 46*d for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15268 + -9759. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30020 - 11?\nAnswer: -30031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6453 and -0.0979.\nAnswer: 631.7487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 84 = 2*g + 105, -4*g = p + 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3782.68191 minutes?\nAnswer: 0.3752660625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 562629697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5\/4 (c) -0.3 (d) 0.0218 (e) 18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:14 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -883786.5881 - -883724.58810017. Let m = -1594 + 1532. Let f = m - r. What is f rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 0.02. Let d = r - 0.34. Let t = 0.02 - d. Round t to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2072 + 2085.29. Let c = -0.29 + q. What is the biggest value in 1, -3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 5 - 11 - (31 - 36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - k - k + 13, 2*u + 5*k = 18. Let i be (1\/(-2))\/((-39)\/(-2)). Let p = i + -71\/273. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -8*b**4\/5 - 264*b**3\/5 - 1842*b**2\/5 + 2044*b\/5 - 528\/5 = 0.\nAnswer: -22, -12, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 320*c**2 - 413*c + 114.\nAnswer: (5*c - 2)*(64*c - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 97616059 divided by 29\nAnswer: 3366071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y + 35. Let o(b) = -4*b**2 - 5*b - 6. Let j(w) = -56*w + 18*w + 16*w + 16*w - 5*w**2 - 7. Give y*o(p) + 6*j(p).\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 287412.\nAnswer: -287411.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 917592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.1. Let t be ((-4)\/(-18))\/((-86)\/(-180) - 108\/(-360)). Which is the closest to w? (a) -0.5 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2663705864.1140014 - 2666639907.714. Let u = 2934044 + q. Let k = u - 0.4. Round k to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 3:02 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6010 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6 + 8370*s - 14982*s + 7 in the form y*s + m and give y.\nAnswer: -6612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 2, d: 1, l: 4}. Give prob of sequence la.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32998237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i. Let s(y) be the first derivative of 0*y + 3\/2*y**2 + 2 - y**3 + 3\/4*y**4. What is s(o) - 3*u(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13272 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0, 12, 5, 19, 3 in decreasing order.\nAnswer: 19, 12, 5, 3, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 + 0 = 0. Let z(q) = q**2 - 3*q + 1. Let o be z(k). Suppose -o*w + 74996 = 4*d, 0*w - 4*w + 60002 = -2*d. What is w rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -454862, -454974, -455086, -455198, -455310, -455422?\n\"Answer: -112*v - 454750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2079 and 462?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 11420.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 75 = -455. What is b rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 31. Put k, -2, -0.2 in increasing order.\nAnswer: -2, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46990829233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*i = 39*i + 384217. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*v - 5*v. Suppose 1849 = 53*p + 1849. Which is the third smallest value? (a) v (b) p (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2. Let m = 10 + -4. Let j(a) = -m + 6 - 2*a. Give j(q(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -25. Let a = c + 5. Let w = -24 - a. Solve 5*z - w = -17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -380.67844 and 0.87.\nAnswer: -379.80844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82.7 - -72. Let s = -11 - f. Which is the nearest to 1? (a) s (b) 0.17 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/10 and 121\/522.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y. Let v = 2 - y. Suppose -222*s + 233*s - 33 = 0. Solve s*o - 1 = v*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 4. Let y(p) be the third derivative of -p**4\/24 - p**3\/6 + 376*p**2. Give y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 20, -21\/10, 2?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**23\/(j*(j\/j**(-11\/7)*j)\/j) assuming j is positive.\nAnswer: j**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 4*p - p + 2*p + 2 + 5 to f + h*p and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 23 + 13 + (-5 + 1 + -1 - -3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 6*q + 2*q)*(0 - 4 - 1).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 3*a**8\/56 - a**4\/4 - a - 2. Let l(q) be the first derivative of b(q). What is the third derivative of l(x) wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -6. Let t be ((-4)\/2)\/(s\/(-12)). Let p = t + 5. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqpjpqsess. Give prob of sequence peje.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxohiml. Give prob of picking 1 m and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*2)\/(9*(-1)\/(-18)). Suppose 4458 - 394 = g*w. List the prime factors of w.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 4 = -4. Let r be (0 - g)*(60 + -7). Let d = r + 9. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 22*a**3 - 1586*a**2 + 997*a - 61404. What is k(72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v + 290 = -5*g - 42*v, -5*g - 1672 = 42*v + 838 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r + 676 = 19*r - 88*r for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 6 = -0*j - 3*m, 3*j - 4*m = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(12\/(-40)) + 2. Suppose a = -m + w, -2*m - 10 = -a - 37. Let i = 53\/2 + -27. What is the second smallest value in m, 1\/12, i?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76050000 rounded to the nearest 1000000?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8019 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**3 + 233*f**2 - 117*f**2 - 116*f**2 + 25.\nAnswer: -13*f**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6198 is divided by 563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let p(s) be the second derivative of -s**5\/20 + s**4\/12 + s**3\/3 - s**2 + 14*s. Calculate p(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-42)*12\/30. Sort 2\/9, b, -0.2, 15.\nAnswer: -0.2, b, 2\/9, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706433 divided by -3?\nAnswer: -706433\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61914 is divided by 1940?\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*o + 3, -4*y = -4*o - o - 25. Solve 2 - 6 = -5*g + 4*b, -2*g - 5*b = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938.0594 millilitres in litres?\nAnswer: 0.9380594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2200941242?\nAnswer: 2, 127, 8665123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2632.7 - 2638. What is n rounded to one decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -458, -572, -534, -290?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -2 - 1)*2. Let g be (b + (0 - 5))*-1. Suppose 0 = 2*u + g*k + 9, u - 29 = -2*u + 4*k. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2790\/165 - 20 - 60\/(-55). Let x(m) be the first derivative of 2*m**2 + 3*m + 1. Determine x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.04 or 2?\nAnswer: -6.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 140*t - 136.\nAnswer: -4*(t + 1)*(t + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 460.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, -5, 4\/7, 65.37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 f when four letters picked without replacement from fpfpffff.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*p + 32*p + 12*p**3)*(p + 2 - 6*p + p).\nAnswer: -48*p**4 + 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19249912*u**3 + 23567349 wrt u?\nAnswer: 57749736*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -271 (b) 3149 (c) -24.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/5*320\/(-3). Let s = u + -129. Let z = s - -34. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 85, -51, -397, -1025?\nAnswer: -2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60 or -0.00087?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 4*v - 10. List the prime factors of q(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -322 + 334. Suppose -4 + 12 = -2*w, -5*z + d = 2*w. Solve -9*c = -5*c - z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-78.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -856332*z + 2028. Let c be x(-21). Round c to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34741 = 11*v + 34697. Solve 0 = v*m - 3*j - 31, -8 = -2*j - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b*f**3 - 2*b*f**2 - 15*b*f + 45*b + 258*f**2 - 4*f wrt f.\nAnswer: 30*b*f - 4*b + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11213 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -64*d**2 + 6*d - 6. Let y(n) = -64*n**2 + 7*n - 7. Let j(q) = -7*p(q) + 6*y(q). Let c(x) = x**2. Give c(j(v)).\nAnswer: 4096*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -41211304 (base 5) in base 3?\nAnswer: -122000210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 530750 and 2702?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a minute in seconds?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00134733061 rounded to seven dps?\nAnswer: 0.0013473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4*v + 5*v)*(12*v**2 + 79*v**2 + 53*v**2) + (4*v**2 + 3*v**2 - 6*v**2)*(-3*v - 1 + 2*v - 2*v).\nAnswer: 285*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0602 - -0.0905. Let c = s + -0.15. Round c to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 2089520?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/4 + -3\/2. Suppose 9*b - 4*b - 5 = 0. What is the third biggest value in f, b, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u - 20. Suppose -t = -4*p, 3*t + 6 = u*p + 13. Suppose q = 3*q - t*o + 4, 4*q = 2*o + 16. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 - -371\/3. What is the nearest to 4 in -5, j, -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 9140.\nAnswer: -11\/9140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004945 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 59?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 6*o - 10. Suppose 0 = 8*k - 6*k + 2. Let v = -4 - k. Put v, o, 5 in descending order.\nAnswer: 5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*k - 5*f + 10111, -2*k + 5*f = -6729. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u - 335. Calculate i(-26).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2 - 134068*g + 1876168 = 0. What is g?\nAnswer: 14, 33503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + b = 13, -5*k + 45*b = 78*b - 429 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pypypyp. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2929 - 2882.46. Let n = -0.46 - q. Let u = n - -45.1. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3483, 26354, 88431, 209316, 408611, 705918, 1120839?\n\"Answer: 3267*v**3 + v**2 - v + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74174623 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 + 195. Suppose 5*b - 4*p - 90 = 0, -3*p - d = -5*b + b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 2*d**2 - 7*d + 13. Let v be r(2). Let j be 5 + (2 - (v - -5)). Solve 5*t = 4*m + 40, m = 4*t - 18 - j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 - 2*g + 2. Suppose -4*b = 3*b - 14. Let l(n) = -26*n**2 - 11*n + 11. Determine b*l(q) - 11*r(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26618928 a multiple of 2094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-54)*87*9\/138. Let h = -1\/23 + p. Which is the closest to -1? (a) 0.2 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2688786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -87. Let d be (-2)\/(-6) - 426\/(-18). What is the greatest common divisor of o and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y - t + 16, y - 26 = -4*t. Solve 3*s - 4*s - 3*a = -y, -a + 14 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-634 + 635)*((-22)\/(-12) + -2)*1. What is the third smallest value in 1\/2, 2\/3, -8, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*q**3 + 23930*q**2 + 31*q + 36338105.\nAnswer: 6*q**2 + 47860*q + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*y**2 - 651*y**2 - 652*y**2 - 667*y**2 + 2584*y**2.\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 - 14*x**3 + 2*x**2 + 14*x = 0. What is x?\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1992*s**3 - 28*s + 2*s**5 - 3987*s**3 + 261*s**2 + 1992*s**3 - 2 + 0 wrt s?\nAnswer: 40*s**3 - 18*s + 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from nwfnh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 2163605*c - 28127710.\nAnswer: 5*(c - 432734)*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*x**2 + 1417 - 1417.\nAnswer: -149*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:53 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17577\/138105*1*9\/42*4.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 7*l + 2. Let u(k) = -k**2 - 7*k - 1. Let f be u(-6). Give c(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.4 (c) -9 (d) 221 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25908 - -22.584922\nAnswer: 25930.584922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56330828.12824 and 7?\nAnswer: 56330835.12824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 1\/20, -1, -5, 7, 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*d - 22. Let y = 80 - 90. Let c = y + 10. Solve -2*n - 2*x = 4, c = -5*n - 0*x + d*x - 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047737 to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**6 + t**3 + t**2 - 1. Let s(m) = 6*m + 1. Let f(c) = s(c) + x(c). Find the third derivative of f(j) wrt j.\nAnswer: 120*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n**3 + 26*n + 40 + n - 110*n**3 - 39.\nAnswer: -63*n**3 + 27*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 70\/(((-2)\/(-345))\/(52\/(-39))). What is z rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/63)\/(q\/q**39*q))\/(q**(-27)\/q)**(4\/7))**(7\/3) assuming q is positive.\nAnswer: q**(3340\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + y + y)*(-y + 2*y + 0*y + (-9*y + y + 4*y)*(3 - 1 + 1)*(-1 - 3 - 2)) to the form o + b*y + q*y**2 and give q.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*((-32)\/5 + 2). Let p = 100 + -69. Let z = l + p. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 17 = 21, -3*x = 4*m - m + m + 88 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -138. Let i(g) = -g**3 - 5*g**2 - 6*g - 6. Let r be i(-5). Suppose 6*n - 4*n - r = 0. Calculate the highest common divisor of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - -2.01. Let j = 0.226 + -5.226. Which is the third smallest value? (a) j (b) i (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/15)\/(b*b\/b**(1\/8)*b))\/((b*b**(1\/3))\/b*b)**29 assuming b is positive.\nAnswer: b**(-4969\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k**2 - k**2 + k**2)*(12 - 9 - 32) as r + s*k**2 + w*k and give s.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 9. Let v = 35 + -34. Let i be (v - (-2 + 14))\/1. Let y be q(i). What is the closest to 5 in 3, -5, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 + -81)*2\/(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/4 + 1 + 1*121887\/(-17415) and -26\/135?\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:28 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -163188.7 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - (-81 - -72 - 165).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 240807*o + 1444674. Calculate q(-6).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2742 - -18290. Let -a*h**3 - 3*h**5 + 7*h + 20978*h**3 + 60*h**2 - 31*h + 21*h**4 = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1.9, 0.5, -6, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*-1*21\/14. Let d be 10\/(-4)*j\/15. Suppose 4 = 3*k - d. Which is the second smallest value? (a) -3\/2 (b) k (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 8 = 2*c + 2*c, -5*i + 4*c = 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 109, 223, 337, 451?\n\"Answer: 114*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78\/11*c + 2\/11*c**3 + 42\/11*c**2 + 38\/11.\nAnswer: 2*(c + 1)**2*(c + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -11501079.\nAnswer: -4\/3833693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 4*a**3 - a**3)*(-2*a + 3*a + a) - 2*a**4 + 4*a**4 - a**4.\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11023198 is divided by 3106.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45, 204, 459, 804, 1233, 1740, 2319, 2964?\n\"Answer: -r**3 + 54*r**2 + 4*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**3 - b - 2. Let j be m(1). Suppose 30 = 5*z - 3*s, 2*s - 2 + 12 = 0. Solve 0 = j*n - z*t - 2, 4*n + 3*t = 8*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 2*b**2 - 2*b**2 - 2112 - b**5 + 2113 - 225*b**4 - 19*b**4 + (2*b**4 + b - b)*(-4*b + b + b).\nAnswer: -3*b**5 - 244*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**0)\/u*u)\/u**(3\/5)*u**(-11)\/u**(-15\/4))**(2\/93) assuming u is positive.\nAnswer: u**(-137\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462750.\nAnswer: 2, 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-8 - (-19 - 0)) + -83 - 5) + -6.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 7*l - 2*l + (3 - 3 + 1)*(-13 + 13 + l))*(-29 + 29 - 39 + (-4 - 3 + 4)*(5 - 1 - 3)) to the form u*l + o and give u.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-1 - 3)*-65. Let s = 5 - i. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*n - 135*n = 7. Let f be 1*(-7 + 6)*n. What is the second smallest value in f, -0.4, -5, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 10 - -2 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97282?\nAnswer: 2, 127, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*(-1 + sqrt(405)) + sqrt(405)) - (-1 + (sqrt(5) - (3 + sqrt(5))) - sqrt(5) - -4*sqrt(10)\/sqrt(2)))**2.\nAnswer: -10512*sqrt(5) + 240381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j. Suppose 0 = 5*u + 3*c - 76, -2*c - 2*c = -3*u + 63. Let t(r) = 10 - u + 7 + 3*r. Calculate t(q(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.83 and 11.\nAnswer: -9.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.765 - -0.125. Let x = u - -1.77. What is x rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 13*z - 15. Let j be l(-14). Let w(a) = -a + 5*a + 1 - 3*a. Give w(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 15*h**3\/7 + 511968*h**2\/7 - 7067859*h\/7 + 5326620\/7 = 0.\nAnswer: -34145, 4\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d**2 + 3*d**2 + d**2)*(-3184*d + 11 + 3179*d + 267) to the form y*d**2 + j*d + l + o*d**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/42 and -2\/567?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 3724*v - 1072272 = 0.\nAnswer: -1506, -356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6404*x - 6406*x - 22 = -m, m - 35 = 3*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -19.9. Is -0.1 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**5\/210 - 2*p**4\/7 + 48*p**3\/7 + 17*p**2\/2 + 145*p. Let d(n) be the first derivative of l(n). Suppose d(r) = 0. What is r?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w*(w**(-8\/5)\/w)\/w*w)\/w*w)*w\/((w**7\/w)\/w)*w)**(5\/7))**47)**(-6) assuming w is positive.\nAnswer: w**(564\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61273 divided by 151?\nAnswer: 61273\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 4)\/(-2) - -2. Let p = 8 - s. Let r be p\/(-60) + (-1)\/(-4). Sort r, 0.2, 3\/8 in descending order.\nAnswer: 3\/8, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3466507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 10111010110110?\nAnswer: 10111010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1308904 - -5?\nAnswer: 1308909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 14*b**2 + 30*b + 85. Let h be o(-12). Solve 5*q = 5*g + 30, 2*q - 1 = -4*g - h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 22891113*g**4\/8 - 211629*g**3\/8 - 22891107*g**2\/8 + 211629*g\/8 - 3\/4 = 0?\nAnswer: -1, 1\/35163, 2\/217, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349994, 700013, 1050030, 1400045, 1750058, 2100069, 2450078?\nAnswer: 2800085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 8*q - 5*q. What is the units digit of (-2758)\/(-35) - 1\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + -2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683, 625, 563, 497, 427?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -32. Suppose 74 = 2*b + q*a, -4*b = b - 5*a - 185. Let w = b + -25. What is the remainder when 34 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 23. Let n(r) = r**2 + 28*r + 45. Let v be n(-27). Calculate a(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27112, -27130, -27230, -27454, -27844, -28442, -29290?\nAnswer: -30430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a. Let n(y) be the second derivative of -5*y**3\/6 + 12*y. Determine n(p(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 274357189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 23 + 50 = 0. Solve -3*f + 15 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*z**2 - h**2*z + 535701*h**2 - 1029*h*z**2 + 4*h*z + 2*h - 2 wrt h.\nAnswer: -2*z**2 - 2*z + 1071402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.8 + 45. Let q = -8 - -12. Let y be 2\/20*30\/q. What is the second smallest value in -3, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45.7 * 5\nAnswer: 228.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-246 - -251) + 3 + (0 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 355 + -316. Suppose -3*z = -0*z - 174. Let k = z - m. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*c, 5*l = -6*c + c - 415. Let d = l + 87. Find the first derivative of 13*n - 18 + 17 + d*n wrt n.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19959.31 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*i - 10, 35 = 5*m - 5*i + 10. Let b(o) = 30*o - m*o**2 + 6*o**2 - 34*o + 3 - 3*o**2. Determine b(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + 5*o + 4. Let w(m) = 7*m**2 + 5*m + 5. Give -5*w(a) + 6*z(a).\nAnswer: a**2 + 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let g = 206 + -203. Let u(l) = -158 - 10*l + g*l + 158. Determine v(u(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + 28. Let s = 81 - p. Calculate the greatest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 4*z**3 - 29204 - 42785.\nAnswer: 4*z**3 - 71989","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 19491?\nAnswer: 7796.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67 and 0.3?\nAnswer: -20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962181254.\nAnswer: 2, 481090627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -7*r**4\/12 + 2451*r. Let d(n) = -136*n**2 - 3*n. What is d(z(a))?\nAnswer: -6664*a**4 + 21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22543120751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20 + (-1 - 17) + 0. Let g(u) = u + 5. Suppose -p = 3*f + 14, -2*f + p - 7 = 4. Let j be g(f). Solve -2*w + 0*w - z = j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -q. Let d(b) = 6*b + b**q - 2*b - 9 + 4*b. Let h(s) = -s + 1. Let y = 37 + -19. Give y*h(a) + 2*d(a).\nAnswer: 2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -25*k + 50. Factor 16\/3*c + 4\/3*c**k + 17\/3*c**2 + 1.\nAnswer: (c + 1)*(c + 3)*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/16)\/(96\/384*-66).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.34 + -5. Let p = 188.370064 - 188.03. Let h = p - q. Round h to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 23 - c**3 - 4 - 10 + 3 - 5*c**2 - 13*c. What is the hundreds digit of h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214391643 is divided by 6204?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**8\/84 - 2*k**7\/15 - 8*k**6\/15 - 4*k**5\/5 - 34*k**2. Find j, given that u(j) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/4)\/(16\/(416\/195))?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60462, -62481, -64500, -66519, -68538?\nAnswer: -70557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -f. Suppose 23 = 2*i + c + 2*c, 0 = -2*i - c + 17. Let o(s) = -4*s + 33. What is the remainder when o(i) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789253.\nAnswer: 149, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrrrqrqarqqrrqrrrrqq. Give prob of picking 2 r and 1 a.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10425 divided by -695\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1*72\/90?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(132)*2)\/(sqrt(192)*-2 + sqrt(36)\/(sqrt(12) + sqrt(3))))**2.\nAnswer: 57024\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 211*g**2 - 1 + 207*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: a27d (base 15) to base 10\nAnswer: 34318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - u + 1. Let a be l(1). Let t be a - 1*(-3 + -1). Suppose 1 = -3*g + 7. Solve 23 = -t*j + 5*w, j - 4 = -g*w + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 428 = 4*y, 137 = 16*y - 15*y + 5*a. Suppose 5*m - 4*q - 54 = 0, 5*m = q - 2*q + 74. What is the greatest common factor of m and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 90. Suppose 19*a - 15*a = 8. Suppose b + a*p + 58 = 4*b, b = p + j. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -5\/2*l**2 - 6 + 1\/3*l**3 + 2*l. Calculate the lowest common multiple of 8 and k(-7).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3337 and -2812731924?\nAnswer: 2812735261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + -2.96. Let j = -0.6 - 2.5. Let n = j - -3. Which is the third smallest value? (a) v (b) -2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19\/16936 + -58937147\/118552. Let v = k + 492. Find the common denominator of v and -16\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*y**4 + 69518*y**3 + 49338611*y**2.\nAnswer: 720*y + 417108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225827 by -7.\nAnswer: -32261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001122 + 0?\nAnswer: 12001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (56\/1820)\/(4\/52)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167119 + 41358 = 2*l + 5*c, -5*c = l - 104226. Suppose 2*h - h - 74251 = 0. Let f = h - l. What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -97\/5, 0, -0.3, -4 in decreasing order.\nAnswer: 30, 0, -0.3, -4, -97\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4791 = -4*o + 1205. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202121012212 (base 3) to base 16.\nAnswer: -e4bdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.28 - 0.28. Let y = 121.9 + -122. Let s = 1 + -1. Which is the nearest to 0.2? (a) y (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4 - 264*k**3 - 6087*k**2 - 27666*k = 0. What is k?\nAnswer: -53, -29, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/3)*g*g*g*g)\/(g\/(g*g**(-2\/23)\/g))*g*g**3*g\/g**(-11\/5) assuming g is positive.\nAnswer: g**(3949\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157577 is divided by 104?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-21))\/((-8)\/56)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415374 is divided by 218.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28373823.\nAnswer: 3, 89, 35423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 take away 49957?\nAnswer: -50066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -23. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 926520 and 9120.\nAnswer: 70415520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 21*b - 186. Let u be w(9). Solve -5*s + u*n = -2, -s = -3*s - n + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 + (-1 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0523 times -826?\nAnswer: 43.1998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 - -105. Let d(b) = -161*b - 114. Is d(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37364024 to the nearest integer?\nAnswer: 6113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**4 + 36*k**4 - 2*k**2 - 11*k**4 - 4*k**4 + 2*k to the form n*k + d*k**2 + o*k**4 + p*k**3 + y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 7*t - 2. Let o be r(1). Is (-7 + o + 2)\/(2\/(-2699)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3682 = 1026. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.475 - -0.525. Let m = o + -11.474. What is m rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 6*k + 43*g = 6*k + 1321, 16*k - 4*g = 20*k - 108 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-4))\/(1\/(-4)). Let f = 856 + -860. Which is greater: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 102882695 and 0.075.\nAnswer: 102882695.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575 and 4707065?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 + 3 + (0 - 2 + 4)*(-1 + 2 - 3))*(d**2 + 6*d**2 + d**2) + (-1 + 3 - 3)*(-16*d - 10*d**2 + 16*d).\nAnswer: -38*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*n - 11*n - 271 - 42 - 67*n.\nAnswer: -2*n - 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2. Let c(f) = 2*f**2 + 29*f. Determine c(a(p)).\nAnswer: 2*p**4 + 29*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.202, -0.4, -96\/65, -0.3 in decreasing order.\nAnswer: -0.202, -0.3, -0.4, -96\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 + 37\/(-7). Let b = -219 + 221. Sort y, 1, b.\nAnswer: y, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 8*i + 11. Let o be m(-10). Let u be -2 - 0 - -83 - o\/(-9). What is the greatest common divisor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l**2 - l - 3. Let r be j(2). Solve 11 - 2 = -r*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**3 - 2*p**2 - 6*p - 5. What is the lowest common multiple of 10 and i(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1)*-1 - 1. Let l = -26 - -41. Let k = l + p. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4\/5 - 42724*q**3\/5 - 8544*q**2.\nAnswer: -4*q**2*(q + 1)*(q + 10680)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Find the third derivative of 5*u**3 - 2*u**3 + 0*u**b - 3*u**2 - u**3 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20532383051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3326625 and 1000?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46480 and 60?\nAnswer: 139440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, -2, 3, -109 in descending order.\nAnswer: 14, 3, 2, -2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - i + 13*i - 9*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.5 + -2.5. Let v = g + 2. Let h = -20 - v. Which is the biggest value? (a) -5 (b) h (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u**2 + 5442*u - 73261. Determine n(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.22 and -0.5?\nAnswer: 11.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 46 times -0.228\nAnswer: -10.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 3:13 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let f(d) = -274*d - 33559. Determine h(f(a)).\nAnswer: -274*a - 33559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12*z + 6. Let y(m) = -13*m + 6. Let r(x) = 3*p(x) - 2*y(x). Let t(i) = i - 1. Give -r(q) - 6*t(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 77. Let a = 5 - t. Let y(f) = 0*f + 4 - 3*f + 2. Give y(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/5 at most 839294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*x*y**2 - 3*f*x*y + 2*f*y**2*z - 13*f*z - 474*f + 2*x*y**2 + 21*x*z wrt z.\nAnswer: 2*f*y**2 - 13*f + 21*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 70*w - 66 = 66*w, -3*q = -2*w + 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 17. Let t = j - -16. What is the derivative of -215*v + 3*v**4 + 215*v - t wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/30)\/((-2)\/(-20)). What is the tens digit of (-5 - -151)*(-2)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12720*s - 485500 = 655410 - 339550 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezxetktekk. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**4)\/g)\/g*g*g**(1\/5)*g*g*g*((g*g*g**(-3\/2)\/g)\/g)\/(g\/(g\/(g\/((g**(-8)*g)\/g)))))\/((g**(2\/5))**(-37))**(-45) assuming g is positive.\nAnswer: g**(-6693\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -31 - 32 + 62. Let s(g) = g + 5. Give 9*l(z) + 2*s(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Suppose -5*k = -2*g - 3*g - 160, 4*g = -w*k + 115. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, -14, -4, -82, -6, -3 in increasing order.\nAnswer: -82, -14, -6, -4, -3, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:58 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 24. Solve -2*q - 4 = o, -o - 5*q - 1 = w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/15, 43, -8, 3, 0.36?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 84*q + 10. Let o(v) be the third derivative of -v**5\/20 - 49*v**4\/4 + 6*v**3 - 19*v**2 + 5*v. Let b(a) = -18*m(a) + 5*o(a). Factor b(y).\nAnswer: 3*y*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001655319769 rounded to 7 dps?\nAnswer: -0.0016553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 13. Let w be h(-4). Suppose -3 = w*l - 4*x - 19, -5*x - 13 = -2*l. Solve -q - l*q = -20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**4\/24 - 5*k**3\/6 + 21*k**2. Determine z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2741 = 2755 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(147)*-2)**2 + 3 + sqrt(147) + -1 + sqrt(147) + 0 - (-5*((6*(sqrt(147) + 3))**2 + sqrt(147)) + -2).\nAnswer: 7609*sqrt(3) + 28672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3224596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - ((6 - -11) + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4735 + 195 = -10*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -535 - -518 - (10 + 1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 3484876?\nAnswer: 10454628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 5. Let r(z) = -47*z**2 - 43*z**2 + 1 - z + 91*z**2. Give r(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + j + 0*j = 4, -j = 5*i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t + 66*t**3 - 23*t + 9*t.\nAnswer: 66*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsfsfssssss. Give prob of picking 3 s.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1199 (base 10) to base 4\nAnswer: -102233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (0 + 3 + -14 + 16 - 59)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 3 (c) 4 (d) -3 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355645653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + h**2 - 2*h + 1. Let w be a(1). Let b = -14 - -16. Let r(u) = b*u**2 + u**2 - 4*u**2 - u - 2 + 4. Calculate r(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 5. Let w(r) = -6*r - 19*r + 57*r - 31*r + 6. Suppose 0 = -5*s - 4 + 34. What is s*w(a) + 7*b(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2625, 2473, 2219, 1863?\n\"Answer: -51*h**2 + h + 2675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 + 14*z**2 - 3 - 4*z**3 + 2*z**3 + 4*z**2 to q*z**2 + b*z + l + u*z**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1982 + 290 = 5*f + i, 3*f - 5*i - 1380 = 0. Calculate the common denominator of f\/(-150)*54\/140 and -79\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 6*i - 7. What is b(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2\/2 - 519*o\/2 + 1611 = 0 for o.\nAnswer: -179, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 6008.\nAnswer: 300.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-53)\/3 - 8\/(-12). Suppose y = -2*m + 8, 2*y = 4*y - 4*m - 56. What is the remainder when 1 + (3 + -6)*i is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xljx when four letters picked without replacement from {j: 3, l: 1, x: 5, a: 1, t: 1, i: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39290 + 39289. Let d(c) = -30*c**3 + c**2 - c - 1. Calculate d(h).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 3, 5, -3, -1 in descending order.\nAnswer: 5, 3, -1, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*24\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 + 247 = 12*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31\/5, -2\/3, -320?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12020121 (base 3) to base 13.\nAnswer: -1981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 403 - 3*y**3 + 7*y**4 - 13*y**4 + 3*y + 4*y**4 - 416 + 0*y**3 as n*y**4 + k + t*y**2 + z*y**3 + s*y and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 260 = 4*x. Solve -v - 3*v - x = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88*6\/168*(-7)\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m\/(m\/(m\/((m\/(m*m**(4\/9)\/m))\/m))*m))\/m))**(7\/5))**(-4) assuming m is positive.\nAnswer: m**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a = 29*a + 1928. List the prime factors of a.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2057) - -1*sqrt(2057)*3)*-6 + (-5*sqrt(2057)*1 - (sqrt(2057) - sqrt(2057)*-4 - sqrt(2057))*-5))**2.\nAnswer: 37488825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -20, -79, -194, -383?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242035 + -2666402\/11. Which is bigger: -365 or t?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let p(a) be the third derivative of 0*a + 37*a**2 + 0*a**3 + 1\/24*a**4 + 0. Let q(n) = -k(n) - 3*p(n). Let v(t) = 51*t. Calculate q(v(f)).\nAnswer: -51*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7660 rounded to the nearest 100?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20569859 to the power of 1\/2, to the nearest integer?\nAnswer: 4535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45132 - -4?\nAnswer: 45136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of ((-255)\/30)\/(-17) - (-10894)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5536 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + o + 2 = 0, 0 = -3*o - 2*o - 15. Let j = 4932 + -29489\/6. What is the common denominator of 0 - 27\/(-14) - h and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.88 - 0.85. Let d be -2*-2*39\/12. Let x = -16 + d. What is the biggest value in -1, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 27*b**2 + b + 45. Determine p(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppupppp. What is prob of picking 2 p?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -1)*(-25076)\/(-96)*-3. Let s = -1558 - j. Find the common denominator of -51\/2 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*q + 0 + 3 - 3.\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -652, -136, 140, 56, -508, -1672, -3556, -6280?\n\"Answer: -20*v**3 + 656*v - 1288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 43 + (-52 - -17) + (0 - 15)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 10*f - 8. Let j be n(-6). Let b = j - -54. Let z be 0 + (b - 1)\/(-1). Solve -z = -t + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 - 2*i + 4. Determine d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7954 (base 10) in base 9?\nAnswer: 11817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5117*d + 3919.\nAnswer: 5117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 3*m - 2*m**4 + 19*m**3 - 1 - 17*m**3 to w + h*m**4 + t*m + a*m**3 + k*m**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2326277326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 50978856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11554020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/3, 0.3, -4, -421?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 84 + 6 = 0. Let v be 1948\/g + 4\/26. Suppose -3*p = -2*q + 52 + v, 484 = 5*q + 3*p. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/525)\/((-29)\/4872)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1\/16, 1.3 in ascending order.\nAnswer: -1\/16, 1.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15876236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/39 - -127\/195. Sort a, -6, -7 in increasing order.\nAnswer: -7, -6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -4*t + 29, -1327*k - 25 = 3*t - 1329*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Suppose 5*i + 0*o = -o + 17, 15 = 3*i - o. Which is the nearest to u? (a) i (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 31 = -3*r, 22*r - 26*r + 28 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 782, 1443, 2100, 2753, 3402?\n\"Answer: -2*o**2 + 667*o + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrereeererrrrerreee. Give prob of picking 2 e.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 11*n**2 - 10*n + 3. Let s(c) = -c**2 - 9*c - 3. Let u be s(-9). Let z = 13 + u. What are the prime factors of k(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20306616 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*d - d + 8, -4*d = -5*v + 85. Let y = 7 + -27. Let n = y - -29. What is the least common multiple of v and n?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 71, 81, 91?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6)\/((-330)\/3939). Let o = m - -8\/55. Find the common denominator of o and (12\/396)\/(7\/322*-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - 10*d**2 + 267*d - 2296. Let n be c(9). Which is greater: -3617 or n?\nAnswer: -3617","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 3. Let s be 1*-23*(-11 + 10). Suppose 0*x + 5*k - 25 = -5*x, -5*k + s = 3*x. Suppose 8 + x = -3*l. Give f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/5188163 and 55\/6.\nAnswer: 31128978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124238304 is divided by 1468.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8004.3 and 0.2.\nAnswer: -8004.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3863 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqlqlq. What is prob of sequence ql?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/25)*q*q**(-2\/7))\/((q\/q**(-9))\/(q*q**(-8))) assuming q is positive.\nAnswer: q**(-2689\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45803260*t**2 + 36089144*t?\nAnswer: -91606520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) 0 (b) -0.5 (c) -0.3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5)*(h**(-1\/13)*h)\/h)**(-3\/11)\/((h**(2\/17)\/h*h)\/(h*h**6*h))**(-6) assuming h is positive.\nAnswer: h**(-577257\/12155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/9 (c) 661\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*q**2 - 112*q**2 - 104*q**2 + 320*q**2 - 5696*q.\nAnswer: -2*q**2 - 5696*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajoayajyyayayoaaaay. Give prob of sequence yjyj.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**4\/4 - 2*c**3 + c**2 + 14*c - 12. Let s be h(-6). Solve -6*j - 4 = -s*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335\/2249 greater than 3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.1 (b) -1\/4 (c) 0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*2*sqrt(700) - (3 + (sqrt(70) + 4*sqrt(70)*-1)\/sqrt(10)).\nAnswer: -3 + 243*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*5*(sqrt(80) + -1 + -1 - sqrt(80)))**2*6.\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 305\/161 + -60\/23. Suppose -y + 3*y + 2 = 0. Find the common denominator of (36\/y - 2)\/3 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17637737 and 317537.\nAnswer: 194015107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7066, 13795, 20196, 26275, 32038?\nAnswer: 37491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 1. Suppose -2 = 2*n - r. Suppose -2\/11*u**5 + 0*u - 2\/11*u**4 + 0 + 2\/11*u**n + 2\/11*u**2 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2600 - -4?\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1122?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(832)*-1 - sqrt(832)) + sqrt(832))*-4 - (-1 + sqrt(832))*1) + 2 + (sqrt(832) - (1 + (0 + sqrt(832) + sqrt(832) - sqrt(832) - sqrt(832)))))**2.\nAnswer: 128*sqrt(13) + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274.2*-7.\nAnswer: 1919.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20397934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 6 (c) 5\/7 (d) 348 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-38))\/(1\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m + 40. Let a(o) = -13*o - 81. Let g(h) = -4*a(h) - 10*j(h). Calculate the remainder when 118 is divided by g(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20036372 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5627 - 5627 + 0*i**2 - 7*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2024*w**3 + 223*w**4 + 1027*w**3 + 988*w**3 + (-1 + 1 - w)*(-2 + w**3 + 2*w - 2*w**3 - w).\nAnswer: 224*w**4 - 9*w**3 - w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1928208 by 102.\nAnswer: -18904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + i + 1. Let v be 1479\/119 + 4\/7. Suppose -j + 4*c - 9 = 0, 0*j - 5*j + 4*c = v. What is g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12575940 by 3505.\nAnswer: -3588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 0*t + 2370 = 0. Let h = t - -271. Let y = -96 + h. Round y to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(23*j**5 + 2*j + 3*j**3 - 45*j**5 + 24*j**5 - 1).\nAnswer: 2*j**5 + 3*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4289.\nAnswer: -8578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*g**4 - g**3 - 216*g wrt g.\nAnswer: 2100*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -15 (b) -881\/49 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -62. Let l(b) = 5*b + 5. Let x be l(5). Let u = x + c. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 55?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 46 + 0*t - 205 + 53 + 54 - 5*t.\nAnswer: -5*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -2*v**5\/5 + 53*v**4\/2 + 220*v**3\/3 - 1945. Let c(b) = 0. What is b?\nAnswer: -2, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/28026 and -25\/51.\nAnswer: 476442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let h(q) = 3*q - 7. Let b(m) = -m + 2. Let n(o) = -7*b(o) - 2*h(o). Calculate y(n(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 220 + -172. Is 3275 + 4\/5 + j\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.6642517 to two dps.\nAnswer: -41.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-100)\/(-3) - (12\/(-9))\/(-4). Suppose -c + 4*g = -126, -c - 50 = g - 156. Suppose 6*v - c = v. What is the highest common factor of v and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**6*s)*s*s*s\/s**(1\/11))\/(s*s**(-1)\/s)**(-15) assuming s is positive.\nAnswer: s**(-199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2 - 4098)\/((-40)\/600)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 93996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -138, -298, -458?\n\"Answer: -160*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -13*r + 7*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.480717 weeks to microseconds.\nAnswer: 1500337641600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4584 = -762*o + 758*o, 5*v + 5*o - 11440 = 0. Calculate the remainder when v is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15ac49 + 6c8?\nAnswer: 15b533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(-2*v + 3*v - 3*v) + (-44 - 16*v + 44)*(-4 - 4 + 5) - 4*v + 2*v + 4*v to n*v + x and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -417100 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p. Let i(c) be the first derivative of -2*c**3\/3 - 3*c**2\/2 - 3*c - 188. Determine -i(a) - 4*t(a).\nAnswer: -2*a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = -24*y + 99876. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/8)\/(5\/164) and 15\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 5235951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44209809 divided by 441\nAnswer: -100249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: a947 (base 11) to base 3\nAnswer: 201211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = 29*g - 10*g + 88*g. Sort 5, g, -4, 686 in descending order.\nAnswer: 686, 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 992607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7) + (-1632)\/672\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*w - 24*w + 26*w - 2130 = 0 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -3 (c) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 3, t: 5}. What is prob of picking 1 l and 1 x?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 6. Let j be (6*3\/12)\/(4\/(-8)). Let l be (-36)\/(-3)*(2\/j + 0). Determine r(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 8, s: 2, x: 2}. What is prob of picking 1 k and 1 o?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 513.8 + -518.8. Which is the closest to 0? (a) 3 (b) o (c) -0.1969\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87221 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 3\/(-1) - -1. Suppose 5*c = v + 4*v - 10, t = 3*v - 5*c. Solve r = -4*r + 4*p - v, 0 = r - 5*p + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -179*n**3 - 3*n**2 - 7*n - 103. Let h(z) = -89*z**3 - 2*z**2 - 4*z - 51. Let d(y) = 7*h(y) - 4*w(y). Find the third derivative of d(x) wrt x.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:39 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 - ((-4 - -3) + 6 + 13))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7)**(-48) assuming b is positive.\nAnswer: b**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 17129.\nAnswer: 22\/17129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*o - 3*j, -2*o - 4*j + 72 = 98 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741661131 to the nearest integer?\nAnswer: 27233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 1690?\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 145330203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**19*k)\/k)**(-23) assuming k is positive.\nAnswer: k**(-460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htttttttvtttvhh. Give prob of picking 1 h and 1 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -307\/7 (b) 2\/17 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9450 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2\/5, -5, 1\/3 in ascending order.\nAnswer: -5, -4, -3, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.39 - -13.4433. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11298 + 192120\/17. Which is the second smallest value? (a) -3\/2 (b) 1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 13 = 3*q, 4*z + z = -q + 15. Suppose 0 = 2*l + z*l - 8. Suppose 148 = 2*y + l*o, -o - 160 = -2*y - 0*o. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13197897 to the power of 1\/2, to the nearest integer?\nAnswer: 3633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 383.7 - 383.7001426. Round s to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a - 8. Let l be r(4). Suppose -178 + 62 = -l*f. Calculate the remainder when (41 + -31)*1\/((-10)\/(-114)) is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 10:25 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0489 - 1152149337712.\nAnswer: -1152149337712.0489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 263263 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 51072?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -53.\nAnswer: 28\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55500 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3465 and 14313640?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, y: 7}. What is prob of picking 1 y and 3 l?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 - -9. Which is smaller: -124 or c?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600\/(-450)*39\/4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275243?\nAnswer: 37, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00524466 to four dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 35.3, -1\/17, -0.4, -4\/5 in descending order.\nAnswer: 35.3, -1\/17, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 194618\/24507764*(-131)\/3. Let k = q + -1\/11553. Find the common denominator of k and -79\/8.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 4, f: 6}. Give prob of picking 2 k and 1 f.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 126 - 138 - (-19 + 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 2*i - 3186, 3174 = -5*w - 2*i. Let m = w - -2357. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 - g**4 - 11*g**3\/6 + 3*g**2 + 13*g. What is the remainder when c(13) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u + 29550 + 1799. Let y = u + 1383. Suppose 3*w - 3*z = 24, 2*z - 4*z = 4*w - 20. Solve 5*m = -y, -5*m = g - w*g + 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1224 and -0.1259.\nAnswer: -1224.1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - y - 2)*(1 - 3 - 8) + 21*y - 12*y + 35*y.\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 50. Suppose 4*h - 14 + 6 = -w, m*w - 15 = -3*h. What is the biggest value in -0.4, 11, h?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1416 and 4002088?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 6*n + 3*f + 7, 0 = -n - 5*f + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 2*r**5 - 59*r**2 - 13*r**5 - 23*r**4 + r**3 + 143*r**2 - 76*r**2 + 164*r wrt r.\nAnswer: -660*r**2 - 552*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150)*-1)\/sqrt(5) - sqrt(750)*1)\/(sqrt(30)\/sqrt(48) + (sqrt(80) - (sqrt(80) - (sqrt(80) - sqrt(80)*2)))\/sqrt(8)))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20764, -41611, -62458, -83305, -104152?\n\"Answer: -20847*z + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -3 - -3 - -3) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33084214.\nAnswer: 2, 16542107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coocppoee. Give prob of sequence pe.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23783\/1410 - -8\/235. Calculate the common denominator of y and 139\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.25 * 3\nAnswer: 12.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1573 and 7306585.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 48185.18m?\nAnswer: 48.18518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.91 bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f + 8. Let n be a(0). Suppose -5*o = 0, -6*p - o = -2*p - 40. Suppose 6*u + 12 = p*u. Solve -u*l + n = -7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*r = -15, 3*r - 51 = d - 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*h + 6 = 0, -4*h = -3*r - 2*h + 3. Let o be 12 - (r - (-6)\/(-2)). What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2 - -1) + -16 + 16. Factor 0 + 1\/3*w**a - 2\/3*w**2 + 1\/3*w.\nAnswer: w*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*z + 601*z + 3822 = 51734 for z.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 614760 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3*f*o**2 + 7*b**3*o**3 - 7*b**3*o**2 + 37*b**3*o*p + b**2*f*p - 8*b*o**3*p - 7*o**3 wrt p?\nAnswer: 37*b**3*o + b**2*f - 8*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38022267 to the nearest integer?\nAnswer: 6166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2232, 2301, 2462, 2745, 3180?\n\"Answer: 5*a**3 + 16*a**2 - 14*a + 2225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -10, -0.06, 9 in decreasing order.\nAnswer: 9, 2\/7, -0.06, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(385\/(-91)) + (0 - 3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w - 21 + 7*w - 18*w. Let u be y(-14). What is the first derivative of -4*j**3 - 18 + 20 + u wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77674?\nAnswer: 2, 71, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/97? (a) 1\/15 (b) 0.4 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 3*q - 4*q + (3*q - q - q)*(0 - 2 + 1) + 4 - 4 - 2*q)*(-4*q**3 + 3*q**3 - q**3).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 2, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 653 in decreasing order.\nAnswer: 653, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w + 12. Let q(j) = w*j**2 - 5*j**2 + 0 + 2. Suppose -2*z + 1 = 3*r - 4, 0 = -5*z + r - 13. Calculate q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = y. Let h(g) = 14*g - 39. Let c(f) = 40*f - 114. Let z(r) = -6*c(r) + 17*h(r). Let q be z(y). Solve -5*b - 12 = 2*o - q, -4*o = 4*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from {l: 2, v: 2, c: 1, a: 1, q: 1, b: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - n**2 + n + 2. Let l be i(0). Find q, given that -q**2 + 0*q + 3*q - q + 3*q**l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/24596 and -97\/430.\nAnswer: 122980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 137769661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*b = 254, -4*b = -5*x - 9*b + 625. Calculate the remainder when x is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9231324.\nAnswer: 2, 3, 821, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, o: 2}. What is prob of picking 1 a and 1 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 10, i = 5*i - 5*k - 26. Suppose 0 = u - 5*q - 29, 105 = i*u + u - 5*q. Put u, 0, -2 in decreasing order.\nAnswer: u, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 347548549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9466928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(-1251 - 1301 + 2551 - 2209*q) as w*q + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:14 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 3a?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/2 in 3\/68, 0.2, -3, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.847468l to millilitres.\nAnswer: 7847.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 l when three letters picked without replacement from {a: 2, k: 2, v: 1, w: 6, l: 4}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -7.997635?\nAnswer: -11.997635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4472677 is divided by 118.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 40401*f**3 - 39999*f**2 - 401*f - 1 = 0.\nAnswer: -1\/201, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = -2*y, v + 4*v - 10 = y. Let d be (-27)\/(-6)*(-2)\/(-3). Let l be 1*3 + (d - 3). Solve -v = -l*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (5 + -3)) + -815 + 791?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83961746 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3841260 by 2.\nAnswer: -1920630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 53 = -3*w + 246. Calculate the remainder when 127 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182241808 - 468?\nAnswer: -182242276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 1.6 (b) -5 (c) 0.03 (d) 1\/2 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 - 39*i - 11. Let n be p(-9). Let l = -469 + 277. Let v be ((-6)\/(-9))\/((-1)\/l). Calculate the highest common factor of v and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 10. Let i = 1 + -2. Let o = i - x. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9714611 is divided by 9714599?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 170399688 greater than 170399688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 1177027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.06 - -5.06. What is the nearest to x in 1, -2\/7, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from immiioimopgoioioo?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 783, 1598, 2533, 3468, 4283, 4858, 5073?\nAnswer: 4808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7*(2 - 0). Let u = 20\/17 + -109\/136. Put k, u, 0 in increasing order.\nAnswer: 0, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2967668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 915586 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3835986 and 2557324?\nAnswer: 7671972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)\/b)**(-49)*b\/(b\/b**6)*b**(-1\/2) assuming b is positive.\nAnswer: b**(523\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -22*h. Let m(t) = -7*t. Let i(f) = 6*m(f) - 2*x(f). Let v(p) = 17*p - 9. Let k(y) = 8*y - 4. Let g(o) = -7*k(o) + 3*v(o). Give 3*g(l) + 8*i(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 89488 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**4 - 133551*z**2 + 425119*z + 36 wrt z?\nAnswer: 36*z**2 - 267102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96422 divided by -19.\nAnswer: -96422\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-56)\/(-42))\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diaaaidatdaaaddtdda. What is prob of picking 1 i and 1 d?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 2668.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -847*h**3*z**3 - 3*h**3 + 2*h**2*z**2 - 11853*h*z**3 - 33*h wrt h.\nAnswer: -5082*h*z**3 - 18*h + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + -2 + (16 - 18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.426 + 0.074. What is the nearest to 3 in -5, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*i**2 - 17*i**2 + 52*i**2)*(-2*i**2 - 2*i + 2*i).\nAnswer: -134*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267 and 104444971.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*i - 2 - 4, 4*l - 26 = -2*i. Let h(s) = s**3 - 4*s**2 + 5*s - 3. Let j be h(i). Solve 0 = -2*r + k + 13, -29 = -5*r + r + j*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 2*x**3\/3 + 9*x**2\/2 + x. Is l(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j**2 + 3*j - 2. Let k be 5\/3 - (-2)\/6. Let z be a(k). Suppose -t**2 + 1 - 4 + z - 2*t**2 - 6*t = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 54*d**2 + 130*d - 177. Calculate the remainder when 7808 is divided by o(53).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6936573 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 11*z = -2*t + 34434, t + 13779 = 2*z. What is the remainder when z is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/15*(-6)\/3*(-25)\/(-10). Let d = -8 - -13. Sort d, m, -2, -4 in ascending order.\nAnswer: -4, -2, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 2*g**3 + 2*g**4)*(-g + 0*g + 2*g) - 13*g**4 + 29*g**5 + 2*g**4 - 27*g**5.\nAnswer: 4*g**5 - 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1104\/460)\/(2\/10*-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1322131 + 1013?\nAnswer: 1323210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4 and -67\/15045621?\nAnswer: 60182484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309503620?\nAnswer: 2, 5, 563, 27487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let d be g(1). Let u = 2.33 - 2.28. Which is the closest to 0? (a) u (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, -12648 in increasing order.\nAnswer: -12648, -22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4914*t**4 - 49*t - 2. Let a(u) = -2*u**4 + u + 2. Let p(d) = -4*a(d) - r(d). What is the second derivative of p(g) wrt g?\nAnswer: 59064*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-15)*30\/(-12)*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + 7 + -10 + -5 + 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1827.882 - 1837. Round g to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*n + 3*j, -4*j = 14*n - 12*n - 6. Is 667 + -1*(n - -2) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12920635 at least -12920634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5279.436 micrometers in nanometers?\nAnswer: 5279436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2126 - 2*j - 3812 + 3244 as q + w*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummpmupp. What is prob of picking 1 u and 2 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 8, c: 4}. Give prob of picking 2 o and 1 c.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccgccccggccc. Give prob of sequence gg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0 + 5\/6*r**5 + 44\/9*r**3 - 35\/9*r**4 - 8\/3*r**2 - r. Suppose u(j) = 0. What is j?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -346 + 314.7. Let b = 31.3000424 + a. What is b rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 35 = -3*s - 12, -3*s - 5 = -2*c. Suppose 0 = -4*h - 4, 0 = -u + 3*h - 17 + 79. Let p = u - 39. What is the remainder when p is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50996 and 398696.\nAnswer: 4385656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -3. What is the common denominator of 5 + x + (-34)\/(-24) and -95\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335510 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 7*l**2 + 9*l + 9. Let d be n(-8). What is the remainder when 9*(-3 - -16*d) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1\/84, -0.3, 3\/8, -7251, -6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232 + -1387\/6. Let x(n) be the second derivative of 1\/4*n**5 - c*n**3 + n**2 + n + 0 - 1\/6*n**4. What is k in x(k) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j*j\/j**(-2\/9)*j)\/j)*j\/(j\/(j**(-1\/6)*j))*j)**(33\/4) assuming j is positive.\nAnswer: j**(319\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and 0.184.\nAnswer: 5.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*b - o + 3, 0 = 3*b + 2*o - 22. Is 9 a factor of 24 + (b - (3 - 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2271 divided by 9450\nAnswer: 757\/3150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*b - 2*b. Let l be (0\/b - -1)*1. Solve 4*u + 7 = -l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 27. Let s be 4\/10 - (-46)\/10. Suppose 999980 = -5*t - c*z, 3 + s = 2*z. Round t to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = -5*a, -3*a = 5*x - 9 - 7. Suppose 3 = -p + 3*z, -3 + 8 = 3*p - a*z. Let u be (-5 + 84\/16)*(5 + -4). Put 0.3, u, p, -2\/3 in decreasing order.\nAnswer: p, 0.3, u, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37992015 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12555696 is divided by 2060?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 9. Let l be z(6). Let a(y) = -y**3 + 5*y**2 + 2*y - 7. Let o be a(5). Suppose -o*x + 119 = r, 4*r + l*x = -x + 452. List the prime factors of r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248 and 34348.\nAnswer: 68696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 18*c = -56 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-122 - -7 - (-111 - -140)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300 - 299.8. Let g = -57375.200046 + 57375. Let f = v + g. Round f to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 - d + 1. Let y(j) = j**2. Calculate 2*v(p) + 7*y(p).\nAnswer: -p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiij. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + p**2 + 0 + (0 - p + 0)*(3*p - 3*p - p) + 0*p**2 + 3*p**2 - 2*p**2 + 2 - 43*p + 6*p**2 + 43*p.\nAnswer: 9*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 123447 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 141, 139, 129, 105, 61, -9, -111, -251?\n\"Answer: -x**3 + 2*x**2 - x + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Suppose i = 3*n - 8*n + 10. Let 3*a - 2 + 0*a**n + a**2 - a**2 - a**2 = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 27*j**2 - 63*j - 16. Give d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 10) + -3 - 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**8\/3696 - 2*i**7\/1155 + i**6\/264 - i**5\/330 - 17*i**2 - 46. Let k(x) be the second derivative of f(x). Factor k(j).\nAnswer: j**2*(j - 2)*(j - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/25*2*5. Let k = o - -23. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 586505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27370482 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 990 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*a = -5*u - 20, u - 11 = -3*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0)*(-4 + 6). Suppose 0 = -d - a, 3*d - 2*d = -2*v + 103996. Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 0*a - a. Let d(i) be the third derivative of 1\/15*i**5 + 0*i - 3 + 0*i**3 - i**2 + 0*i**4. What is t(d(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764503?\nAnswer: 19, 40237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -44*x + 108. Let n(p) = -p**2 - 3*p - 5. Let w(d) = 0 - 2 + 0 + 3. Calculate x*w(l) + n(l).\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*c + 3464 - 3470 = 0, -2*s + 5*c = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 25 = 4*b, -o + 30 = -2*o + 373*b - 378*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 53834, 53833, 53830, 53825, 53818, 53809?\n\"Answer: -q**2 + 2*q + 53833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**3 + 21438778*q**2 - 85755100*q + 85755096 = 0.\nAnswer: 2, 21438774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 - 4*g + 6. Let m be c(3). What are the prime factors of 370\/(-15)*m\/(-8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1088 divided by -3\nAnswer: -1088\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 41 = -5*r, 83*r + 34 = 87*r - 2*l. Solve -5*m - r = -3*g, -3*g = -25*m + 21*m - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31.9*-744191\nAnswer: -23739692.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 431555 and 172622.\nAnswer: 863110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1))**18*b**1*b**(1\/3))\/(b*b*b**(-6\/11)\/b*(((b**(1\/14)\/b*b)\/b)\/b)\/b*(b**(-1)*b)**17) assuming b is positive.\nAnswer: b**(18391\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 74 + 40. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4502955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-266)\/(-44) + -2 + -3 and 28\/(-140) - 243\/110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*r**4 - 793*r**3\/2 - 8745*r**2 - 64614*r - 5324 = 0. Calculate r.\nAnswer: -22, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 6713.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 27*p - 18. Let l(k) = 1. Let v(y) = 18*l(y) + t(y). Let z(j) be the first derivative of -j**3\/3 + 9735. Calculate v(z(w)).\nAnswer: 3*w**4 - 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-25) - (-1)\/(-1). Let p = -0.1612 - -0.0612. What is the third biggest value in p, w, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/10 - -1*(-4)\/(-20). Let n be 6\/(-5)*(-6 - -1). Let a(c) = -42 + n*c**2 - 5*c + 42. Let h(p) = -3*p**2 + 3*p. Determine z*h(o) + 3*a(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqhohhhokhbqbjqoh. What is prob of picking 2 q?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2. Let i(m) = -9*m + 4. Let o(h) = -5*h + 20*h - 9 + 6*h - 3*h. Let a(q) = -9*i(q) - 4*o(q). Give a(l(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d**2 - 19*d**2 + 12*d**3 + 32*d**2 - 15*d**3.\nAnswer: -3*d**3 + 40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 - 2688*k**2 + 571269*k + 1738080 = 0 for k.\nAnswer: -3, 355, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -20*m - 88. Determine l(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*l - 2*l = 0, 74*s - 75*s = -3*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgbbh. What is prob of picking 1 g and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44306416.\nAnswer: 2, 7, 11, 35963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.2, -2847, 5, -302\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/(-3)*405\/(-54)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 21*c + 70. Determine h(-15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -6, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/70 and 47\/106.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332082, 663850, 995616, 1327380, 1659142?\nAnswer: 1990902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 5*f**6\/6 + 10*f**3 + 247. Find the third derivative of q(t) wrt t.\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86036941 is divided by 191619.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -301 + 603\/2. Let d be 44\/(-16) - (0 - -1)*-3. Which is the nearest to d? (a) -4 (b) g (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6745\/24 - -2313\/8. Find the common denominator of 5\/108 and m.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1654810 divided by 6\nAnswer: 827405\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*z**3 + 690*z**3 - 351*z**3 + 449*z**3.\nAnswer: 1010*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11246*m - 12 + 5 + 6 + 1.\nAnswer: 11246*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)\/n)\/(n\/(n**(-5)\/n)))**(-1\/18)*(((n\/n**(-4))\/n)\/n**(-2\/9))\/(n**(2\/7)\/n)**(3\/7) assuming n is positive.\nAnswer: n**(2291\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676 = -5*k + 444. What is the smallest common multiple of 992 and k?\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-441)\/630)\/(((1078\/21)\/11)\/((-12)\/9))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*n - 3 + 0 = 0, 3*n = -3*g + 15. Let l be 2\/7 - 838\/(-7). Suppose -2*y = g*y - l. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25893 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(304) + (sqrt(304) - -3*sqrt(304)) - sqrt(304)) - -6*(sqrt(114)*-4)\/sqrt(6))*-4)**2.\nAnswer: 1575936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**2 + 3*o + 2. Let v be p(-1). Suppose -3*g + 509 + 1430 = -2*w, -v*w = -3*g + 1937. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:18 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(100)\/sqrt(2) + 5 + -5.\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/((-2079)\/(-1034))*280\/60*(-3)\/(-2).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020574394 rounded to 5 dps?\nAnswer: 0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1783 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1964?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12996 and 363888.\nAnswer: 363888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or 0.021?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(351) - (sqrt(351) + sqrt(351)*2)*4) + sqrt(351) + sqrt(351))*4)\/((sqrt(75) + (sqrt(75) - 1*sqrt(75)) - sqrt(36)\/sqrt(3))*1))**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.03 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:12 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29985 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 11\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -139 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**3*r**3 + 26720*n**3*r + 4*n*r**2 - 45159*r**5 wrt r?\nAnswer: -18*n**3 - 2709540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6845 divided by -5346.\nAnswer: 6845\/5346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 2*r**3 + 0*r - 2*r**4 + 8*r**2 - 6*r**2 as g*r + c*r**3 + x + l*r**4 + v*r**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4253153 (base 6) to base 16.\nAnswer: -331dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 405, 397, 379, 345, 289, 205, 87?\n\"Answer: -a**3 + a**2 - 4*a + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153 - -2086. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 124572 and 25.27.\nAnswer: 3147934.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/9? (a) 4 (b) -2 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215658.6 nanometers to millimeters.\nAnswer: 0.2156586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/(76\/(-760)). Let g(k) = -5*k**2 + 18*k - 12*k + 4*k**2 + 3. Determine g(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d3e4 + -d8?\nAnswer: -2d4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*j - 8, -4*j + 5*z - z + 8 = 0. Let w be 0 + 3*(-6)\/(-9). Suppose -j*u + 8 = w*u. Solve u = 5*a - 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let d = 31 - 33. Let l = q - d. Which is the second biggest value? (a) -2 (b) -3\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 728274, 728304, 728336, 728370, 728406, 728444?\nAnswer: 728484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308817097?\nAnswer: 251, 1230347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 8:46 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301888 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/42)\/(90\/14))\/((-19)\/(-95)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6800184961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -6 - 3) + 24 + (1 - (2 + 23)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 906292991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 94, 193, 360, 619, 994, 1509?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {a: 5, i: 1, l: 1, f: 4, g: 2, o: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000987617 rounded to six dps?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(41\/(-123))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b + 4. Let h(k) be the third derivative of -2*k**5\/15 + 26*k**2 - 3*k. Calculate y(h(t)).\nAnswer: -40*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (946\/(-344))\/((1470\/(-20))\/21*(-15)\/(-42))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 15. Let a be t(6). Suppose 12 = 3*b, -4*b = -l - a*b + 29. Suppose l*z - 1512 - 1341 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44314, 7, 10.\nAnswer: 7, 10, 44314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*g - 389 = -400, 0 = -f + 5*g + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1\/4 (c) 0.021 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 71656400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/3 (b) -1\/3 (c) -2 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 0)*(-3 - 19\/(-5)). Let j = 0.2 - 0.3. Which is the smallest value? (a) 2 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4920.7 rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2166, 2368, 2550, 2712?\nAnswer: 2854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-880)\/(-90) + (-60)\/6. Which is the fourth biggest value? (a) 1\/4 (b) -5 (c) o (d) -1.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6357 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h + 63 = -35. Is (3\/1)\/(30\/77890) + h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(5) - (sqrt(20) - sqrt(60)\/sqrt(3) - sqrt(20))\/sqrt(4))*-4)*-2.\nAnswer: -10 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*g + 2*g + 5462, 3*g = 2*v - 5458. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626*k = 44331 - 35432 + 78905 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csi when three letters picked without replacement from isxuxxuxuwxiscxxwis.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) + sqrt(95)\/sqrt(5)) - sqrt(114)\/sqrt(600).\nAnswer: 79*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*s = 789 - 805, 0 = 6*p + 3*s + 24 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j - 5. Let d(o) = -13*o + 9. Let p(f) = 6*d(f) + 11*u(f). Suppose 3*s = v + 4 + 3, 2*s + 4*v = 0. What is p(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1023*i**2 + 1783*i**2 - 33 - 758*i**2 - 6*i**4 as y*i**4 + l*i**2 + n*i**3 + v + j*i and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**3 + 1056*z**2 + 82695*z - 1848150 = 0.\nAnswer: -185, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*b**3 - 74*b**3 - 184*b**2 + 184*b**2.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.16, -48, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmpmmmgggpgmgpmspqp. What is prob of picking 1 s, 1 p, and 1 g?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.3, -1\/2069 in increasing order.\nAnswer: -0.3, -0.2, -1\/2069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:07 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 8\/(136\/(-391))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/55 - -3\/11. Which is the closest to -1? (a) 1\/4 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*t + 24 + 6 = 0, -2*t - 18 = -4*g. Let p = -5 + 3. Let i be -6*(p + 8\/6). Solve 4*l - g*q - 2 = 0, -5*q + 3*q - i = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.024 times 0.01\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 605*s**4 + 21*s**3 - 2*s**2 + 1287*s - 24 wrt s.\nAnswer: 7260*s**2 + 126*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55982196 by -6.\nAnswer: 9330366","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17524 and 1556308?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 70120*w**2 + 14*w + 1. Is u(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11*c**3 + 2*c**2 - 17*c**2 + 15*c**2 as r*c**2 + q + y*c + z*c**3 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = -6. Suppose 3*j - 12 = a, -o*a + 4*a - 20 = -5*j. Let c = 1073 - 1071. Solve c*r + 3 + 5 = a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2, -4, 16\/11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/6 - 4*k**3\/9 + k**2\/3 + 4*k\/3 + 6. Solve x(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*v - 4*j - 3676 = 3705 - 7417, 0 = 5*v + 2*j - 30 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19902\/(-248)*(-8)\/6. Suppose 2*j = z + 3767. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 80. What is the lowest common multiple of v and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 279193.4 to the nearest one hundred.\nAnswer: 279200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57 - 19?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 2*z - 2*z)*(4850*z - 466*z + 6733*z) + z**4 - 3*z**4 + 3*z**4 + z**4 + 2*z**2 - 2*z**2 + (-2*z**3 - 4*z**2 + 4*z**2)*(-z - z + z).\nAnswer: -22230*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 7*g**2 - 5*g + 9. Does 22 divide k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 271515 divided by -8\nAnswer: -271515\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 65978380?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/52 - (-66)\/264?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1701868*h - 1663146 wrt h?\nAnswer: 1701868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*((t*(t\/t**(-2\/9))\/t)\/t)\/t))**(-2\/71)*t**5\/t**(-2\/9))**0)**(-1\/17) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 343 - 580. Let h = z - -447. Suppose g = -53 + h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2711571, 2711547, 2711511, 2711463?\n\"Answer: -6*w**2 - 6*w + 2711583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 3. Suppose 3*w = g - 1, -2*w - 4 = g - 2*g. Suppose -g = v*s - 190. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/(y**(-4\/15)*y))\/y)\/y*y)\/y)**18)**(17\/4) assuming y is positive.\nAnswer: y**(-663\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/12)\/(2\/(-8)). Let g(d) be the first derivative of -d**2\/2 - 3*d + 23. What is g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12. Let u = x + -0.4. Let a = u - -0.3. Which is smaller: -12 or a?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 7*u - 8. Suppose -i = -0*i - 6. Calculate c(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135.8602 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*l = 70, l + 5 = 6. Let s(a) = 7*a**2 + 16*a - 49. Is s(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 5. Let g = -46 - -28. Let v be 82\/(-45) - 4\/g. Is c < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**4\/24 - n**3\/2 + 3*n**2. Let p be m(0). Put p, -0.4, -2\/69 in ascending order.\nAnswer: p, -0.4, -2\/69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 760 - 2069 + 2*z - 2*z + 1303.\nAnswer: -2*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13964 = 1257*x - 64244 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 8 + 19 - 2*d**3 + 44 as k*d**2 + h*d + b + x*d**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2607616 is divided by 964.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 + 7*p - 2. Let b be ((-6)\/8)\/(2\/16). Let z(i) = -6*i**2 + 7*i - 2. Let k(m) = b*z(m) + 5*c(m). Suppose 2*j - 8 = 4. Determine k(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-8 - -3 - -4). Let p be 0*1\/(-4) - -4 - b. Solve -p*i + 4 = 5*m + 3, 5*i + 21 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -8. Let z = r - 16. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -1, 3, -111821, 1\/6.\nAnswer: -111821, -3, -1, 1\/6, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04 and -17003881.\nAnswer: -17003881.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -3, 0.84 in increasing order.\nAnswer: -3, -1\/9, 0.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -3*f + 6*f. Let y = 167 + f. Solve y*b - 6 = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 + 2*o - 2. Give r(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 672979376351 - 0.8.\nAnswer: 672979376350.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13)*r)\/r**(-9)*((r\/(r**(-1\/8)*r))\/r)**5 assuming r is positive.\nAnswer: r**(-59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 2*w - 20. Give b(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20511 and 1475361?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p + 9 = 9. Let k be 1\/(-1) + (-1)\/10. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:06 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(13\/(1352\/13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o - 53*o + 3 = 0. Which is the third biggest value? (a) 231 (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h - 2*h**2 - 105*h + 174*h as v + l*h**2 + z*h and give z.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -21. Suppose 0*g - 55433 = -s*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010111 (base 2) to base 9.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73b5 (base 12) to base 11.\nAnswer: 9574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 59*t**3 - 4*t - 20*t**4 + 4*t + 4*t**2 + 69*t**3 to c*t**2 + i*t**3 + j*t**4 + x*t + k and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*f**2*v**2 - 77*a**2*f**2*v - 2*a**2*f*v + 12*a**2*v**2 - 2*a*f*v**2 wrt f.\nAnswer: -4*a**2*v**2 - 154*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*b + 29*b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 1570000 = 5*y. Round y to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202508 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-524)\/(-3)*(-3)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(132)*1 - (sqrt(132) + 2*sqrt(132) - sqrt(132))*4)\/(sqrt(300) - (sqrt(300) - (sqrt(300)*2 + sqrt(300))) - sqrt(120)\/(sqrt(50)\/sqrt(5))).\nAnswer: -3*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80))**2*4 + 3.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1699 + 333 = 25*l + 7. Is l less than 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35067*t**4 + 7*t**2 + 3692 wrt t?\nAnswer: -841608*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 68685*m**2 + 36*m - 12. Let z(w) = -164844*w**2 - 87*w + 29. Determine 29*k(n) + 12*z(n).\nAnswer: 13737*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -60*w + 725. Let x be y(12). What is the fourth smallest value in -3, -2\/13, -9\/5, x, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5\/9 + 4*t**4\/9 + 14*t**3\/3 - 76*t**2\/9 - 160*t\/9 + 64\/3 = 0.\nAnswer: -4, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-7))\/((-2)\/(-7)). Let k = 84 - 80. Let i(s) = -s**2 + 4*s + 18. Let a be i(k). Solve 3*r + 3 = r + f*v, -a = -5*r - v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 26. Suppose -5*b + i = -k, -k + b = -2*k + 2. Sort 5, -4, k.\nAnswer: -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c + c - c**3 - 2*c + 10 + 9*c**2. Give x(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o + 49*o + 6 = -v, 5*v + o + 26 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) -1 (c) -0.244 (d) 6 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 782\/4 + (-5)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003469715911 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 1\/2*s**2 + 309\/20*s**5 - 70*s + 0*s**3 + 2 + 19\/4*s**4. Find the third derivative of l(i) wrt i.\nAnswer: 1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/7)*u**16*u**(-5\/8)*u**11 assuming u is positive.\nAnswer: u**(1461\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000427746 rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 - 12) + -39 - (17 + 54 + -1 + -3).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240752142 and 1566.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*t = 85*t - 50. Let n = -29 - t. Find the third derivative of -2*l**5 - n*l**2 + 6*l - 6*l - 22*l**5 wrt l.\nAnswer: -1440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302 (base 4) in base 16?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = 2*l. Suppose o - 2*o - 3*g + 8 = 0, 5*g = -2*o + 14. Suppose -y = -o*y - 2. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0590899 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcd when three letters picked without replacement from dccddcccl?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 964237*r + 8518149 wrt r.\nAnswer: 964237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 divided by -13?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 30. Let q = 24 + j. Which is bigger: q or -5\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/10 + 11*y**2\/10 - 9*y\/5.\nAnswer: -y*(y - 9)*(y - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5866 rounded to one decimal place?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 509157 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70496 and 40.\nAnswer: 352480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + z - 7*z + 394*z**2 + 9*z.\nAnswer: 394*z**2 + 3*z - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9350 - 5105. Let k = -2912 + o. Does 114 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14585000 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(243) + 3 + (sqrt(243)*2 + sqrt(243))*-4 - (-5*(0 + sqrt(243)) + 1*sqrt(243) + 5))**2.\nAnswer: 360*sqrt(3) + 24304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 963579.7 litres in millilitres?\nAnswer: 963579700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 7*k**2 + 10*k - 10. Let h be a(8). Let t = h - 5. Let f(u) be the second derivative of 7*u**3\/6 + u. Calculate f(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 81, 149, 213, 273, 329, 381?\n\"Answer: -2*j**2 + 74*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n = -6. Let i(u) = u**3 + 12*u**2 + u + 13. Let g be i(-12). Solve z - g = -n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 74. Let d(h) = -1. Let v(u) = -6*u**2 + u + 2. Let l(y) = i*v(y) - 2*d(y). Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 4. Let b be p(2). Let r be b\/(0 + 4) - -3. Sort r, -1, 4 in descending order.\nAnswer: 4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + p = -4*p + 9, 0 = -3*z - p - 5. What is the tens digit of (10 - 2 - z)*31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/841, 4\/3, 4, 0.1, 0.3 in descending order.\nAnswer: 4, 4\/3, 0.3, 0.1, -6\/841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*o - 4 - 169*o - 2056*o**3 + 51*o + 3 + 60*o.\nAnswer: -2056*o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, c: 1, b: 11, w: 1}. Give prob of sequence zw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12426, 12483, 12544, 12609, 12678?\nAnswer: 12751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 2*y + 4. Let d be r(4). Let h(m) be the second derivative of m**3\/6 + 3*m**2\/2 - 12*m - 13. Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12111749*f - 61102646?\nAnswer: -12111749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) -4\/5 (c) 62 (d) 133\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971429.\nAnswer: 971429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 481*r - 15773. Give t(-35).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010111111010100 - -10011100010?\nAnswer: 1101011010010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(4 + 5 - 4)*(5*a**3 - a**3 - a**3).\nAnswer: -30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 29*q - 2. Let v be n(1). Let u(k) = -14 + v + 7*k - 14. Calculate the remainder when u(3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1458 * 1.579\nAnswer: 2302.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, -4 in ascending order.\nAnswer: -4, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 6 = -71. Suppose -d*z + 4*z = -56. Suppose -2*h - h = -96. Calculate the highest common factor of h and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 313806 or 312005?\nAnswer: 312005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-60) + -5 + 4 + 2\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*c + 335*c - 59*c**2 + 380*c.\nAnswer: -59*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50974028 to the power of 1\/2, to the nearest integer?\nAnswer: 7140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*l - 9, -383*l + 382*l + 11*t - 42 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 1 - (48 - (-39 + 100))) + 5 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((-47)\/(-235))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3246 + 1.7246. Which is the biggest value? (a) 1\/4 (b) 2\/13 (c) 1 (d) y (e) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 948 - 936. Solve 3*c + s = -2*b, 0 = 4*c - 4*b + 1 - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 divided by -1?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(14)\/sqrt(7)) + (sqrt(6)\/sqrt(3))**2*1 - (-2 + sqrt(1152) + 2 + sqrt(1152))**2.\nAnswer: -4606 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + 3 + 4 + sqrt(2057))**2.\nAnswer: 110*sqrt(17) + 2082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (0 - (-12)\/(-4)). Suppose -19 = -2*x - 4*b + 5, -2*x + j*b + 32 = 0. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 49808, 6, 4 in descending order.\nAnswer: 49808, 6, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*c = 216, -4*l - c + 144 + 92 = 0. Suppose 54*k = l*k. Solve -3*r + 9*r - 12 = k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**43*(h**(4\/7))**(3\/10) assuming h is positive.\nAnswer: h**(1511\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232323 (base 4) to base 14.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(-377*j + 191*j - 713*j - 691*j) in the form h*j + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let j = -20 + 17. Let n be (0 - j\/(-3))*-1. What is the nearest to n in 0.3, -2, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 361 + 334 = -342 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = w, 4*w - 2*g = w + 7. Let v be 1\/(w + -1)*4. Suppose 0 = -v*c - 2*c + 112. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9659.6 to the nearest 100.\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 2. Let f = 27.5 + -27. What is the second smallest value in k, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58365216 by -80172.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 25 = 3*x - 21 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/330752 and -167\/36480?\nAnswer: 4961280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 12105?\nAnswer: 24210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1336646055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(200)*2 + sqrt(2) + (sqrt(18) + 2)**2).\nAnswer: -198*sqrt(2) - 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67170305?\nAnswer: 5, 3089, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1890 and 904680?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -29a65?\nAnswer: 29a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*s**3 + 4)*(-5*s + s - 3*s)*(1 - 8 + 1)*(4 - 1 - 2) to y*s**4 + p*s + f*s**2 + m*s**3 + g and give y.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jje when three letters picked without replacement from {y: 1, e: 1, j: 6, h: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 35*o**2. Let u(a) be the second derivative of -a**3\/3 + 264*a. What is z(u(c))?\nAnswer: 140*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. Let t be h(-1). Let k be t\/(-4) - 28\/8. List the prime factors of -2*(2 + k) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y. Let d(t) = -33*t. Let n = -6047 + 6041. Give n*d(v) + 22*l(v).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**4\/24 - 3*n**2. Calculate the least common multiple of u(2) and 9 + -5 + 4 - -28.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:56 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -4.4. Let v = 0.3 - 0.2. Let h = -116 + 114. Which is the closest to -1\/2? (a) q (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 3784*l - 205111. Calculate r(55).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 50.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 75298 * 33\nAnswer: 2484834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 166\/12 - 29\/(-174). Solve -11*j + 8*j + 9 = -3*m, -3*j + 4*m = -b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*o + 2, o + 2 = -h - 2. Let a = -1 - h. Find the second derivative of 5*u**4 - 2*u**4 + 0*u**a - 10*u wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Suppose 28*a + 45 = 25*a. Let v(d) = d**2 + 14*d - 11. Let f be v(a). Solve -b = -f*k - 5*b - 24, 3*k = b + w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 21*q = -34. Find the second derivative of 2*a + 1223*a**2 - 4*a - 1102*a**q - 32 wrt a.\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q**2 + 59*q - 59*q.\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1102*w**4 - 841.\nAnswer: -4408*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3))**44*(c\/c**(1\/3))**40)**(-2\/3) assuming c is positive.\nAnswer: c**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177404817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -8\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 0*m**3 + 2 + 2*m**2 + 0*m**4 + 1\/3*m**6 + 0*m**5 + 0*m. Find the second derivative of g(k) wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 5. Suppose -3*m + 12 = 5*q, -2 = q + m + 4*m. Let o be 5\/(-2) - q\/6. Let r be l(o). Let g(v) = v + 1. What is g(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s. Let r(a) be the first derivative of 0*a + 7 - 1\/2*a**2. Determine l(r(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13841529 divided by -39?\nAnswer: 354911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1324814 or 1324816?\nAnswer: 1324816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19907 - 16808. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.88 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3 + 2 - 3 - f - 3. Let p(a) = a**2 - 30*a - 100. Let x be p(33). Let u(k) = -k + 5. Calculate x*u(w) - 3*d(w).\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + 0*q)*(4 + 2*q - 4) + q**2 + 0*q + 0*q - q**2 - 1 + 1 + 0*q + 7*q**2 - 6*q**2 - q.\nAnswer: -3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-3\/13))*p))\/(p**(1\/2)*p*p) assuming p is positive.\nAnswer: p**(-71\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.04 - 2532.\nAnswer: -2534.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1578558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/4*(-8)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 76611 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 5:06 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -354*k + 5670. What is a(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 85 - 116044\nAnswer: -115959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**20\/(u**(-5\/6)*u**(-3\/4)) assuming u is positive.\nAnswer: u**(-221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247742 = 5*i + 367258. Round i to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 + 8*r**4 - 2*r**4)*(0 - 1 + 2) + (59*r**4 - 7*r**4 + 14*r**4)*(-2 - 2 + 3).\nAnswer: -58*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 4) + -2 + 20. Let k be 2*d - -2 - (2 + -3). Suppose 36*l - k*l + 1 = 0. Is -2\/33 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n = 25*n. Suppose 2*p = 7*p - n*p. Solve -v - v - 4*d = 6, p = 2*v + d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -1 - -1) + 71 + 6. Let r = c + -35. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 86 = 1. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1377 + -439. Calculate the highest common factor of 28 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 2*b**2 - 132*b + 132*b - 4*b**2 + 2*b**2 - b**2 + 0*b**2 - 3*b**2 + 4*b**2 + (-3*b + 0*b + b)*(1 + 2*b - 1).\nAnswer: -8*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovivvovaiovoi. Give prob of sequence aooo.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -11. Suppose 0 = j*l + 5*k - 55, 0 = -0*l + 3*l - 3*k - 51. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 6*g - 9. Calculate d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6105*w**3 + 12127*w**3 - 6084*w**3.\nAnswer: -62*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -895*o - 48334. What is m(-54)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -12 + 12 + (-17 - -5).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + g + 15 - 231, 3 = g. Let b(m) = m**2 - 7. Calculate the remainder when w is divided by b(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Suppose m + 3 + 1 = 2*t, -8 = 3*m - s*t. Does -3 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1 - -1) + 2)*6. Let l = -24 + x. Let a(r) = r**3 + 13*r**2 + 9*r + 17. Is a(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103.47 and -337287.04.\nAnswer: -337390.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 81370*f\/7 + 1302432\/7.\nAnswer: -2*(f - 16)*(f + 40701)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463458609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 o when three letters picked without replacement from ououuodddoffuddudd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8517, -10170, -11829, -13494, -15165?\n\"Answer: -3*j**2 - 1644*j - 6870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16225781 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 31688 - 7192 = 0. Is 29 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*-5 + (sqrt(60)\/(sqrt(24)\/sqrt(2)) - sqrt(5)))*1)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164079485*o**3 + 101105874*o?\nAnswer: 984476910*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:50 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(68) - sqrt(68))\/(sqrt(484)*2 - sqrt(484)) + (sqrt(170) - (-2*sqrt(170) - sqrt(170))*-5)\/((sqrt(80) - sqrt(80)*-1)\/sqrt(8)).\nAnswer: -80*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 183920*z**3 + 91976*z**3 + 91953*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -10\/3*a**3 + 0 + 1\/12*a**4 + 21\/2*a**2 + 7*a. Differentiate l(y) with respect to y.\nAnswer: 2*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1263.861 months to centuries.\nAnswer: 1.0532175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 903. Give n(-181).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 347352379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9545052371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1, -1\/7, -2324?\nAnswer: -2324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315967 is divided by 1315911?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6865048\/63 + 108965. Let q be ((-484)\/(-462))\/(2 - 5*-2). Let w = q + f. Find the common denominator of 21\/16 and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/3 + 8\/(-12). Suppose -w + 2 = -5*m. Let a(p) = 5*p**2 - 3*p. Let g be a(m). What is the greatest common factor of g and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32372 is divided by 723.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1251 and 411119883?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7488194 and 49640?\nAnswer: 149763880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 12. Let v be z(-4). Solve -3*i = -v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1328 - 146.\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9012*h + 105 = 3*u - 9009*h, 3*h - 105 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)\/o*o)\/(o*((o\/(o**(6\/11)*o*o*o))\/o)\/o*o))\/((o**3\/o)\/o*o**(-8)*o) assuming o is positive.\nAnswer: o**(448\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.92 - 1.78. Which is the second biggest value? (a) 2 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = -1. Let a = -2956858769\/24222036 - -216173\/1767. Let i = a + -3\/596. Is h not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/120 + 13*k**5\/60 - k**4\/12 + 7*k**3\/6 + 292*k**2. Give v(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 2231?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5003674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/80*(-2)\/3*1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = 0. Let v(k) = 241*k + 735. Let j be v(-3). Solve c = -2*p - p + j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 120100?\nAnswer: 120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 44. Let l(x) = -169*x**2 - 1. Let k be l(1). Find the common denominator of 121\/10 and 1\/(-1) - k\/f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*q - 10, -4*q = -t - 3*t. Solve -q*n - 2 = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32141512080 - -127.\nAnswer: 32141512207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2340*l + 42122. Let a be j(18). Suppose 384\/17*o**a + 2\/17*o**4 + 480\/17 - 72\/17*o**3 - 736\/17*o = 0. What is o?\nAnswer: 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407554 divided by -43?\nAnswer: -9478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41178 + 41149. What is the nearest to -2\/7 in h, 18, -0.2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 9*x**2 + 5*x + 12*x**2 - 8*x**2 in the form t*x**2 + f + w*x and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1041314*j**5 + 3*j**3 + 2*j**2 + 21399231*j wrt j?\nAnswer: 20826280*j**3 + 18*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-585)\/(-25) - 3\/(-5). Let a be (g\/14)\/(12\/210). Let z = -7 + a. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39732)\/(-1204)*79\/(-33).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*v + 27, -2*w + 7*w - 25 = 0. Let b = 6 - v. Let t be -1 - (-2)\/6*1. What is the smallest value in t, b, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z + 4 = 30*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 91032002*y - 2071706347032001.\nAnswer: -(y + 45516001)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3c092 (base 13) to base 8\nAnswer: -333046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9829370 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34678414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4255936 is divided by 2127967.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**(5\/6)*t)\/t)*t\/(t**9\/t)*t)**(-7\/6) assuming t is positive.\nAnswer: t**(287\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260 + -156. Let s = -13 - -26. Calculate the greatest common divisor of s and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d**2 + 1290*d - 1116 = 0. Calculate d.\nAnswer: -93, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 3*y**2 + 3*y**2)*(3 - 1 - 5)*(-4 + 5 + 1).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7141671?\nAnswer: 3, 793519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t - 65. What is the remainder when y(-16) is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r**2 - r + 7. Let i = -96 + 101. Let x be k(i). Let n = x + -52. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -543?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/8 or 85756.66?\nAnswer: 85756.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Let w be x(-12). Let q = 16 + w. Suppose -q*k = -5*k + 5. Solve i = k*c - i + 13, 3*c - 5*i = -23 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Find f, given that -2 - y*f**2 + 2 + 3*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h - 2. Let f(c) = -2*c - 16. Give j(f(t)).\nAnswer: -26*t - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 - 2*r. Determine s(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 24 = -3*n. Calculate the smallest common multiple of 2 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqa when three letters picked without replacement from {v: 6, r: 1, a: 2, q: 5, c: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1515 by 6.\nAnswer: 505\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(96\/(-28))*102\/119\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -92430 divided by -1170?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(3 - 2)*165. Suppose 6*s = 9*s - j. Suppose 54*u - s*u = -58. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 11.2. Let x = c - -12. Let w = -15.99 + 16.29. Sort w, 2\/13, x in decreasing order.\nAnswer: x, w, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*g**3 - 32\/9 + 2\/9*g**2 - 32\/9*g = 0. What is g?\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(84)\/sqrt(4)*-6)\/(sqrt(60)\/sqrt(5)) - -4*(sqrt(168)\/sqrt(2))\/((sqrt(66)\/sqrt(2))\/sqrt(11))).\nAnswer: -4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*r - z, 67*z = 70*z + 6. Which is the nearest to r? (a) -1 (b) -5 (c) -1\/3 (d) -17\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (9 + (1 - 0)*-4). Let z be w\/12 + (-78)\/(-8). Let c = -2 + 0. Put -4, z, c in descending order.\nAnswer: z, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -w + 27, -3*a - 3*w + 4*w + 13 = 0. Let l(h) = -3*h - 3. Let s(r) = -4*r - 4. Determine a*l(z) - 4*s(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/5)\/2*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jugmxgmmjjujjujx. Give prob of picking 1 j and 2 g.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from fggfifgggiiggf?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -2*d + 56. Suppose -5*b + d*b - 308 = 0. Calculate the highest common divisor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1. Let a(q) = -10*q + 30. Give -a(k) + 30*d(k).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -399*p - 36545. Give c(-91).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.857031 plus 0.13744?\nAnswer: 214.994471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 12:49 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*s**4 - 488 + 0*s**4 - 7*s**4 + 495 wrt s?\nAnswer: -164*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8139 to two decimal places.\nAnswer: 1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5075.862 to the nearest integer.\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -32. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 12)*9\/(-27). Solve 6 = h*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206954*h**2*x**2 - 8*h**2*x - 2657*h**2 + 3*x**2 wrt x.\nAnswer: -413908*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m**2 - 5*m + 9. Let p(c) = -6*c**2 + 3*c - 5. Suppose -3*t - 5 - 7 = 0, -3*w - t = -5. Let h(d) = w*o(d) + 5*p(d). Is h(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/((-588)\/(-2))*(-1)\/((-15)\/63)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 628*j**3 + 997 wrt j?\nAnswer: 1884*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8865840 and -0.5.\nAnswer: -4432920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2294*z + 691*z - 3689*z - 4836*z.\nAnswer: -10128*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 + 25464*k**3 + 50724*k**2 - 1628832*k + 4073280 = 0 for k.\nAnswer: -8486, -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, 138, 406, 774, 1236, 1786?\n\"Answer: -w**3 + 59*w**2 - 8*w - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9622 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3591 (base 10) in base 8?\nAnswer: -7007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-42252)\/406 - 176\/(-638)*(-7)\/(-28)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1894181778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-1 - 0 - 625\/(-300). Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2218 is divided by 139?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1018106806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134303, -537356, -1209111, -2149568, -3358727, -4836588, -6583151?\nAnswer: -8598416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2590, -2602, -2614, -2626, -2638, -2650?\n\"Answer: -12*j - 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = 0. Suppose 0 = -w*u + u - 1. What is the remainder when 3 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:37 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + m - 16. Is n(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1364237960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 + h - 3. Let w = 10 - 6. Let l be 18\/w*(4 + 32\/(-6)). Give n(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 595*n**5 - 570*n**5 - 53*n**3 + 6 - 611*n**2 - 1 - 5 wrt n.\nAnswer: 1500*n**2 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + 0*h**3 + 0*h**3)*(1 + 2 - 4).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305 - 325 + 271 - 1346 + 3*g**3.\nAnswer: 3*g**3 - 1095","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -85570.5 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -22*(2\/4 - 1). Suppose r + 5*b + a = 0, -4*r - 3*b + 7 = -0*b. What is the least common multiple of r and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0636 and 0.13.\nAnswer: -0.008268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*o = 485 - 101. Let k(m) = -m**3 - 3*m**2 + 11*m + 23. Calculate k(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.039 + -0.049. Which is the third smallest value? (a) -3\/7 (b) v (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 1. Let c(l) = -3*l**2 - 4*l + 8. Let u = -5 + 9. Let d(h) = 4*h**2 + 3*h - 8. Let a(m) = u*d(m) + 5*c(m). Let g be a(7). Determine n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -41*f - 246. Let l(r) = 35*r + 246. Give -6*i(u) - 7*l(u).\nAnswer: u - 246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 132*m**3 - m**2 - 2*m - 1. Let t be y(-1). List the prime factors of 5*t\/10*-1.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 2\/5*o**5 + 0*o**4 + 0*o**2 + 0*o**3 - 7 - o. What is the derivative of r(y) wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -5 (c) 0.02922 (d) 0.1 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -859185*b**5 + 1635*b + 6.\nAnswer: -17183700*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 - 12*y - 52. Let m be u(-4). Calculate the greatest common divisor of 390 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5616 - -5619. Factor -2\/5*f + 4\/5 - 2*f**x - 16\/5*f**2.\nAnswer: -2*(f + 1)**2*(5*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.952 times -4\nAnswer: 111.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 1\/2*d**2 - 1\/4*d**4 - 3 - 1\/10*d**5 + 0*d**3 + 1\/2*d. Suppose f(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbj when three letters picked without replacement from klkljqkqxjbl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4169133, 4169128, 4169123, 4169118, 4169113, 4169108?\nAnswer: 4169103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 54. Let k = -23 - n. Let t = -682.6 + 683. What is the closest to 2 in t, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3293b2 (base 12) to base 8\nAnswer: 3042366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 328\/5. Let y be ((-13)\/6305)\/(6\/30). What is the second smallest value in -0.3, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 + 3.2. Suppose 0 = 3*g + 2*b - 10, -6*b + 15 = 5*g - b. What is the third smallest value in 0.3, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 11*h**2 - 2*h + 8. Let k(x) = 13*x**2 - x - 3. Let q be k(-1). Let l be a(q). Are -15 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/210 - 23*u**4\/126 - 146*u**3\/63 + 8*u**2 - 254*u + 4. Factor o(r).\nAnswer: 2*(r - 28)*(r - 1)*(r + 6)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 14*z - 10*z, 5*z = 4*p + 3. Put 16, -6, p in decreasing order.\nAnswer: 16, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206\/11 at most as big as -177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, -3, -63, -47 in ascending order.\nAnswer: -176, -63, -47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 - 124. Let t = v + -47. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*j**2 - 21*j**2 - 270*j**2 + 318*j**2.\nAnswer: 303*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-924)\/(-396))\/(2\/(-6)). Let f(s) = -s**2 - 12*s - 30. What is f(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10728481 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 2, 4, -95 in ascending order.\nAnswer: -95, -24, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -204*c**2 - 13864*c + 116. Calculate i(-68).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 821588 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 8. Let o be i(-16). What is the derivative of 14*d**2 - 3 - 15 + o wrt d?\nAnswer: 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 3)*(-2 - -1). Solve -r + 3*r**2 + 2*r**4 + r**5 - v*r**2 + 0*r**2 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400972258?\nAnswer: 2, 293, 617, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534269960.\nAnswer: 2, 5, 7, 541, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4\/3 + 49616*c**3 + 1384435216*c**2\/3 - 1846509056*c + 5540122624\/3.\nAnswer: 4*(c - 2)**2*(c + 18608)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 15 = 123. Suppose -q = -10*r + 4. Solve w + 10 = -r*y, 4*w + 12 = -w - y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d + 77*d + 13320 + 8397 - 1977 = 0 for d.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + 1 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 80.5079 millimeters?\nAnswer: 0.0000805079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {a: 2, z: 8, q: 1, y: 2, k: 7}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - -1. Suppose -4*s + 5*o + 18 = 0, 5*s - 2*o - 4 = -5*o. Suppose 2*h - 3*r - l = -s*h, -5*r = 2*h - 40. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 2*m**2 - 5*m**3 - 2*m + 2*m**4 - m**2 + m**3 to d + p*m**2 + c*m**4 + v*m + z*m**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24842, -24897, -24990, -25121, -25290, -25497, -25742?\nAnswer: -26025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10698778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - r**2 + 2*r + 7. Let b(g) = -13*g**3 - 3*g**2 + 9*g + 27. Determine 2*b(x) - 9*l(x).\nAnswer: x**3 + 3*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77445 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/10 - 1671*z**2\/10 + 3339*z\/10 - 1669\/10.\nAnswer: (z - 1669)*(z - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/18, -0.3, -2512?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 1*(sqrt(612) + 1))*6)**2.\nAnswer: 864*sqrt(17) + 88164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -406?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + m + 3 = 0, 2*q - 4*q - 2 = -3*m. Suppose 0 = -x - 4*t - 16, 18 = -3*x - 3*t - 3. Sort q, x, -2 in descending order.\nAnswer: q, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 49*m**4\/4 - m**2 + m - 4. Let n be z(1). Calculate the highest common factor of 32 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 92.\nAnswer: -11\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 450333612*k**6 + 1001*k**2 + 44489*k.\nAnswer: 54040033440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 515427, 515425, 515423?\n\"Answer: -2*o + 515429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 509575 or 509975?\nAnswer: 509575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.188 - 0.212. Let x = -16.4 - d. Sort -1, -0.4, x in descending order.\nAnswer: x, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14\/11, -5, -2.08044?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(1 + 1)\/4. Let v = 29247\/20 + -1463. What is the common denominator of v and (-9)\/(-126)*(-3 - z)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -0.2. Let h = 321 - 2243\/7. Suppose 0 = -4*q - 6 + 2. Which is the nearest to q? (a) n (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -84*q**2 + 188*q**2 - 112*q**2 + q**3 + 5*q - 13. Give w(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26456819 - 0.2\nAnswer: 26456818.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -348 + 224. Let h = b - -123. What is the nearest to h in 13, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1541 and 125143?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 232838590 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 124558996 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*z + 53*z**5 + 0*z**2 + 52*z + 58*z**5 + 4*z**2 wrt z.\nAnswer: 6660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + (-6 - (-6 + -13)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*p + 518*p**2 - 524*p**2 - 168*p + 2*p**3 as q*p + k*p**2 + n + x*p**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) 1 (c) -0.1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 7*h = 4, l = -4*h - 13. Suppose l*f + 3*r = 0, f - r - 5 = 3. Let z(b) = -1 + 3*b - f*b + 2*b. Let a(m) = m - 2. Calculate a(w) - 2*z(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1287)\/(-91) - (1 - 66\/70)*(-230)\/(-92)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15774 is divided by 7872.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 7*n - 15. Let b(s) = n*s - 3*s + 0*s. Let t(j) = j. Give b(t(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 26, 66, 307?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 + 36\/30*480\/(-72). Let l = 226 + -2038\/9. What is the biggest value in l, h, -15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:18 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/171)*s\/(s*(s**23\/s)\/s*s)*s)\/((s*s\/(s*s\/((s**(1\/39)*s)\/s)))\/s**(-6\/31)))**(-2\/13) assuming s is positive.\nAnswer: s**(2926168\/895869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196350 and 48807?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14252 + -14257. Let y = 5 + -4.99. Which is the third smallest value? (a) 16 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 236094 and 32433?\nAnswer: 134337486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035633124?\nAnswer: 2, 258908281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 32*o + 11. Let p be -30*(1 + 32\/(-20)). Is b(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-4) + (-122)\/32 and 81\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(sqrt(133) + sqrt(133)*3 + sqrt(133)))\/(6*-2*sqrt(7)).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from pzuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-140)*70\/6*(-98)\/(-154)*11.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -4890030?\nAnswer: 1\/128685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, v: 3}. What is prob of picking 1 v and 3 m?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18\/9*-5*3\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 + 96. Calculate the highest common factor of o and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0739 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*q**2 + 139 - 86 + 108 + 46 + 370.\nAnswer: -153*q**2 + 577","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0 + 139*h**2 + 0*h**5 - 1\/120*h**6 + 0*h**4 + 0*h + 4\/3*h**3. What is n(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2\/2 + 633*f + 1260 = 0 for f.\nAnswer: -420, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 48a2283?\nAnswer: -48a2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 15*g**2 + 22*g - 1. Determine x(-13).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1014 + 1534. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -5*a + 3. Suppose 4*f = 2*b + 38, -5*f + b + 19 = -a. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - -3.54. Let c = 4 - v. What is the closest to -2 in 1\/4, c, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9620)\/6734*2\/(-4)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329*f**3 - 14*f**2 - 15364.\nAnswer: 987*f**2 - 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-62)*2\/6. Let z = -4 - 0. Sort z, -1\/25, d in descending order.\nAnswer: d, -1\/25, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 221\/878 - 3\/1756. Which is the fourth biggest value? (a) n (b) 0.331 (c) -0.5 (d) -2\/5 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*z - 4 = -14, -2*z = 0. Let b = -28 + 37. Suppose 0 = -c - 2*c + b. Put l, c, -4 in ascending order.\nAnswer: -4, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -16. Suppose -4*i + 5*t = -44, v*t = -5*i + 7 + 3. Solve -20 = s - i*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 315*b + 160*b + 158*b = 23, -18 = -3*r + b for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -18*h - 16*h + 4601633. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 98.38. Let k = u + 3.62. What is the nearest to -3 in -2\/9, 2\/11, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*x + 674 + 205, -3*x + 181 = s. What is the greatest common factor of 280 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*s + 20 = 0, 3*s - 29 + 10 = -5*b. Suppose -5*u = b - 50. Let v = 65 - 31. What is the remainder when v is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let t(g) = 2*g + 5. What is the least common multiple of 7 and t(u)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -6356.\nAnswer: -51\/6356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1324, 2648, 3972, 5296, 6620?\n\"Answer: 1324*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197969.\nAnswer: 197969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4*(-11)\/(-110)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 5, 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 6*i**2 + 8*i**2)*(4 - 2*i - 4)*(-3*i + 5*i + 0*i).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -49*j + 81. Calculate the lowest common multiple of j and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 144\/126 + 0 + ((-360)\/(-175) - 2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39 * 5441415\nAnswer: 212215185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 27 + 9 = -q, 2*p = q + 10. What is the highest common divisor of p and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-8) + 6 + ((-12)\/(-36))\/((-2)\/48)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156\/655639 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/71799 and 151\/4914?\nAnswer: 1292382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 6.04. Let l = d - -0.04. Let k = l - -3. Is 1\/2 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 900206 + -900197.30014. Let n = -8.7 + g. Round n to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11*r + 34 = 10*r, 0 = t - r - 7. Solve t = -3*n, 5*b + 2*n + 2*n = -17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0 + (-5 - 1 + 5)*(5 - 5 - 1) - 3 + 0 + 2 + 3 - 1 - 1 + 3 - 1 + 2)*(2*k - 2*k - 3*k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -5\/42*b**7 + 0*b**3 + 0*b**2 + 0 + 1\/6*b**6 - 9*b + 0*b**4 + 0*b**5. Find q such that s(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + h - 146 - 141 + 435.\nAnswer: h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 92.7. Which is the closest to x? (a) 5 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**3\/3 + p - 7. Let j(l) = -134*l. Determine j(b(s)).\nAnswer: 268*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*w + 8 = 0, 4*q = q - 5*w - 10. Suppose q = -n - 3. Let h = n - -8. Solve 0 = 5*c - 5*y + 25, 4*c + 5*y - h = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 - -194. Suppose -16*r + 668 = -x*r. What are the prime factors of r?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 14*h - 71. Let t be w(6). Suppose -c - 3*v - 1 = 0, -4*c + 4*v + v = -t. Solve -5*u = -2*b + 15, 0 = u + c*b + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 201, 346, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 7. Suppose -f = -3*f + p. Let h = -3.08 + 0.08. Which is the second smallest value? (a) 3 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + -11875?\nAnswer: -118aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17040 by -10.\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78, -125, -170, -207, -230, -233, -210?\n\"Answer: u**3 - 5*u**2 - 39*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6958*v**3 - 3 + 3 + 3031*v**3 + 3225*v**3.\nAnswer: -702*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 10. Let s be 3 - (h\/(-3) - (-6)\/(-2)). Suppose -540 = -s*u + 5*u. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94899.27 grams to kilograms.\nAnswer: 94.89927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*r + 13*r + 10*r)*(3 - 2 + 0).\nAnswer: 43*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5, 4*q = 3*m - 89 - 45. Differentiate m - 111 - 92*k + 60*k with respect to k.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5 = n - 9, -2*p = 5*n + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3920)\/(-294))\/((-3040)\/120)?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -133802, -267603, -401404, -535205, -669006?\n\"Answer: -133801*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34051.8ug to milligrams.\nAnswer: 34.0518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 15*d + 120. Suppose s - 10 = -18. Let p be b(s). What is t in 0*t**2 + 0*t**4 + 1\/2*t**5 - 1\/2*t**3 + 0*t + p = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 656 + -683 + (-4 - (0 + -2)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 338548.7 millilitres in litres?\nAnswer: 338.5487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140773 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -3977.\nAnswer: 39.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-294)\/(-245))\/((-94)\/100 + 1). Solve -k - 3*k = -i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.36 take away 12.1?\nAnswer: -15.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5551 + 5555. Solve -w - 6 = t - 9, z*w - 15 = -t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 14) + -16 + 8 + 111 + 8.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8609468 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: Suppose 4*j = 2*c - 251594, 0 = -4*j + 9*j - 15. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -130233, -520931, -1172087, -2083701, -3255773, -4688303?\n\"Answer: -130229*j**2 - 11*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -0.1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015785931 rounded to six dps?\nAnswer: 0.001579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-16)\/7)*7\/(-14)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 203 = 5*j - 57, 4*f + 12 = 0. Let b = 491 + -298. Suppose -703 = -30*m - b. Calculate the remainder when j is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3803 + 15292473612.\nAnswer: 15292477415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*a - 37 = 3*k, -4*a = -2*k - 34 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n. Let g(y) = 2072*y**2 - 2. What is s(g(h))?\nAnswer: 18648*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/541?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15773163 to the nearest integer?\nAnswer: 3972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27524806 + -1177513916. Let b = a + 1205038720.940000362. Let j = 1.06 + b. Round j to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50982, 49936, 48192, 45750, 42610?\nAnswer: 38772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 4)*(-6*t**2 - 2*t**2 - 4*t**2) + (2*t + 0*t + 0*t)*(2 - 2 - 2*t) as h*t**2 + u + l*t and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 707.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122373? (a) -0.1 (b) 0.4 (c) 2 (d) 2\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26549411*g**4 + 13*g**2 - 184258.\nAnswer: 637185864*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*1*2\/(-6). Let w be (4*7)\/4 + u. Let c(h) = h**3 - 6*h**2 + 5*h. Let v be c(w). Solve v = 3*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2111897 (base 10) to base 8\nAnswer: 10034631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -129, -130, -131?\n\"Answer: -i - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 1:22 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 46*o**2 + 608*o - 2354. Give m(4).\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:32 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from {k: 1, r: 1, f: 2, w: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k - 2*k + k - k to the form r + z*k and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 14*g + 7347.\nAnswer: -(g - 93)*(g + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65810, 525916, 1774756, 4206698, 8216110, 14197360?\n\"Answer: 65728*w**3 - w**2 + 13*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-4*sqrt(30)\/sqrt(5)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 13*j - 228. Let q = j + 97. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8716603003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*p + 9. Solve -j + p*s = 4*s - 3, -2*s = -5*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -26702603.\nAnswer: -1\/26702603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/321991 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 24561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7218 - 5147. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/23118 and -11\/15412?\nAnswer: 46236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zze when three letters picked without replacement from {e: 9, z: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/1018 and 29\/10?\nAnswer: 5090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -6. Suppose -k*m = -4*m + 12. Let f be 8512\/(-352) + (24 + 8 - 8). Sort m, f, -5\/4, 1 in increasing order.\nAnswer: m, -5\/4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a century in decades?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b + 15. Let z(l) = -3*l**3 - 2*l**2 - l. Let a be z(-1). Suppose a*j = 10 + 10. Calculate the greatest common divisor of j and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 + 0 + 0)*(0*h + 0*h - 2*h + (0 + 1 - 3)*(-h + h - 2*h) + 2*h + 39*h + 123*h - h + 5*h - 3*h) in the form u*h**2 + f + r*h**3 + v*h and give r.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3992837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221137514.\nAnswer: 2, 13, 229, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -89*y**2. Let l(n) = -15*n**2 + n + 99. Determine l(p(x)).\nAnswer: -118815*x**4 - 89*x**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - -44. Let a be -1 + (2 - -1) + j. Suppose -2*i = -160 + a. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c**2 + 1387*c - 4001. Calculate z(113).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6037.513m?\nAnswer: 6037513000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 52237372\nAnswer: -261186860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 10*j**2 + 8. Let m be n(-10). Factor 6 + 2*c**2 - 1 + 1 + m*c.\nAnswer: 2*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*t + 18*t - 27*t - 240 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14 and 41269.6?\nAnswer: 41255.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10c14 (base 13) to base 7\nAnswer: -155142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 n when four letters picked without replacement from uwfnwfwfwwww?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*t - 3*t - 278, -2*t + 3*q = -278. Let j = -77 + t. Suppose 0*k - 2*k + 4 = 0, j = 2*u - 3*k. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192039874 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.401884 millilitres to litres.\nAnswer: 0.007401884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -22*t**3\/3 + 200*t**2\/3 + 1126*t\/3 - 104\/3 = 0.\nAnswer: -4, 1\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d*d)**(-36) assuming d is positive.\nAnswer: d**(-324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**2 + 2*c - 12*c**2 - 2*c.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.45 + -1385692943.\nAnswer: -1385692944.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -6610, -4?\nAnswer: -6610","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2 - 461*x + 2972. Give d(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 * 9791.\nAnswer: -518923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 6*a**2 - 10*a - 21. Determine d(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -14*q**2 + 29*q - 6. Let u be c(7). Let l = 613 + u. What is the remainder when l is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008945509 to 5 dps.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-1*60\/160*784\/(-63)*-3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - 1.6. Which is the smallest value? (a) 3 (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 5 + 3*x - 2*x**3 - 18 + x**2 + 0*x**3 + 2 to y*x**3 + h*x + c + v*x**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 886.549 + -1.549. Let g = 878 - d. Suppose -4*o = -2*v - 30, o + 15 = -5*v - o. Which is the nearest to g? (a) -2 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8246, 9764, 12288, 15812, 20330?\n\"Answer: -s**3 + 509*s**2 - 2*s + 7740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.08 and 177395 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:13 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -94 (c) 0.1 (d) 83 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Suppose 2*q + z - 5*z - 18 = 0, 3*q - 2*z = 23. Suppose p*w + 31 = h, -4*h - 101 = -q*h + 2*w. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-13))\/((-87)\/(-377))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3))\/(i*i*i**(-4\/13)*i)*i*i**(3\/11)*i**(-15) assuming i is positive.\nAnswer: i**(-1776\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.826 and -11.\nAnswer: -273.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35129 (base 10) to base 12.\nAnswer: -183b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 + 3*w - 8. Let i(p) = 2*p**2 + p - 3. Let z be ((-3)\/6)\/((-1)\/(-2)). Let m = 2 - z. Let f(t) = m*y(t) - 8*i(t). Solve f(j) = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 19*o - 15. Calculate v(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915534137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55777267.\nAnswer: 7, 13, 47149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 + 92*r - 43*r - 49*r.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1524 and -17?\nAnswer: 25908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f + 1. Suppose 72*g + 323 = 323. Factor -3*m**f + g*m**3 - 3*m**2 + 38 - 29 - 21*m + 18*m**2.\nAnswer: -3*(m - 3)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**3*z - 4*h**3 - 12*h**2*z - 301*h**2 - h*z + 843*z + 33 wrt z.\nAnswer: 3*h**3 - 12*h**2 - h + 843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1328\/83*1\/(-2)*(-287)\/82*-1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646596213 is divided by 6986?\nAnswer: 6983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6850.25 decades to years.\nAnswer: 68502.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -5\/4 (c) -0.4 (d) 2\/33 (e) -2.1 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 11*d**2 + 5*d - 4. Let p be g(-10). Suppose -5*b - 3*u = -p, -b - 4*u = 3*b - 32. Solve 5*v - b = -4*h, -4*v + 4*h - 8*h = -12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/5)\/(((-24)\/40)\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -213? (a) 24\/1051 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - 9) + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 902880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 0)*(1 - 2 + 0)*(-4*d - d + 6*d) + 3*d - 4*d + 3*d as j*d + g and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -17*u**2 + 104*u - 9. Let f be k(6). Let c be 2\/(-8) - (-18)\/8. Put -2, f, c in descending order.\nAnswer: f, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136395*g + 155500 wrt g.\nAnswer: 136395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3537, -14212, -32007, -56910, -88909, -127992, -174147, -227362?\nAnswer: -287625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0\/2)*1. Let b = -0.144 + -0.356. Let n = b + 0.1. What is the biggest value in n, 6, x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 - (4 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 13 = -5*z, -6*v - 714*z = -710*z - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103200021312 (base 4) in base 5?\nAnswer: 2302044223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 5*s**4\/24 - 55*s**3\/6 + 15*s**2. Let j be y(14). Let v(i) = 2*i**2 - 4*i + 3. Let q be v(3). Solve 4*x - j = q*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (29 - 25)*6\/4. Let d(z) = z**2 - 5*z + 1. Give d(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/21*(-84)\/(-72)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78 and -0.165416?\nAnswer: 12.902448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6690363 (b) -1\/20 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6314*w - 37901. Determine v(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m**3 - 6*m + 69*m - 9*m - 17*m - 34*m - 338*m**3.\nAnswer: -390*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001212220122 (base 3) in base 15?\nAnswer: 2235c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, w: 12, p: 2}. Give prob of picking 2 w.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5251 take away -897872561?\nAnswer: 897877812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -33, -69, -109, -147, -177?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/5*(168 - 179168\/1056).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-1*sqrt(13) + 1)) + sqrt(13) + sqrt(13) - ((3*sqrt(13) - sqrt(13)) + 3)**2.\nAnswer: -62 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:44 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 1828718054401?\nAnswer: -1828718054401.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2805 (base 9) to base 11.\nAnswer: 164a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.6235139 rounded to 1 decimal place?\nAnswer: -116.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**3 + 11*m**2 + 9*m - 7. Let o be l(-4). What are the prime factors of ((-26)\/(-13))\/((-2)\/o)*-1?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 5) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5447, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, 6\/5447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*j + 2*a - 7, 5*a = 2*j + 11. Let l be ((-5)\/(10\/4))\/(j\/1117). Let n = 2110 + l. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 18*b + 2. Give d(16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -117, 100, 877, 2436, 4999, 8788, 14025, 20932?\n\"Answer: 37*z**3 + 58*z**2 - 216*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32414051 (base 6) to base 12.\nAnswer: -3a7327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 5*y**2 - 2*y - 1. Let t be c(3). Suppose t = 2*b - 5. Solve -3*u + u - b = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(4\/(-8)*5)*147\/(-3087).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 1, 4, -17 in descending order.\nAnswer: 5, 4, 1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c - 36*c + 13*c + 3*c + 10*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 68*q**2 + 2*q. Let s(j) = -6*j - 4. Let t be 3\/(-6) + (-81)\/(-18). Let z(i) = -7*i - 5. Let b(v) = t*z(v) - 5*s(v). Determine y(b(w)).\nAnswer: 272*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6753*n**5 - n**2 + 2*n + 18.\nAnswer: -405180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 222*-1090\nAnswer: -241980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i**2 + 4*i + 1. Let a(f) = -9*f**2 + 5*f + 1. Let y(p) = -3*a(p) + 2*v(p). Let t be y(3). Calculate the highest common factor of 161 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**3*n**2 - 3*i**3*n - 2*i**3*q + i*n*q + 2*i*q + 9*q wrt n.\nAnswer: 2*i**3*n - 3*i**3 + i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n - 74 = -3*a, 4*a = -3*n + 98. Let r be a\/10 + 6\/(-10). Is (0 + r)*62\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.58 plus 0.02919?\nAnswer: 48.60919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 81. Let r be x\/3 + 2 - 2. List the prime factors of (r\/6*-2)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4 - 2*o**4 + 258*o**2 - 266*o**2 + 4*o**4 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 + 14*f**2 + f**2)*(20*f - 62*f + 17*f) + 3*f**3 - f**3 - 4*f**3 + (2*f**3 + f - f)*(-1 - 1 + 1) as x + r*f**2 + j*f**3 + a*f and give j.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010011100 + -10100101100?\nAnswer: -10010111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:20 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7100 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aa7149 (base 11) in base 9?\nAnswer: 14282382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.61 + 3.39. Is o equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -210 - b?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, d: 1, o: 2, l: 3}. What is prob of picking 1 o and 1 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {c: 2, p: 2, s: 1, h: 1, g: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2422 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*j, l + 10 - 2 = 2*j. Suppose x - 4*x + 39 = -3*y, -2*x + 31 = -3*y. Suppose l = -g - 4 + x. What is the remainder when 13 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 991.4466 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/(-16562))\/((-25)\/(-65)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 16 - 18. Let r = -14 + b. Suppose 1 + 6 = i. What is the remainder when i is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 11 = -5*a, 2 = 3*v - v - a. Suppose v*s = 32 - 38. Put 4, s, -6 in decreasing order.\nAnswer: 4, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1414234345 + 1.60423.\nAnswer: 1414234346.60423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = w + w. Let m = w - -431\/4. Find the common denominator of m and 97\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*f + 2485 = -177*f. List the prime factors of f.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 447*h**3 - 9*h**2 + 11*h + 18. Let i be l(-18). What is i rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.42918614 + -90869780.42918614. Let i = 90869760.9999892 + q. Let j = -19 - i. Round j to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 10)*-1*3\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbfb when four letters picked without replacement from {t: 5, b: 3, f: 5}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (38 + -44 + (7 - 1) + -63 + 22)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (16 - (-15 - (-13 - 11)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*c + 323, -167*u + 305 = 5*c - 172*u. Are c and 314\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240338 (base 12) in base 13?\nAnswer: 97b7bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003003003812 rounded to 6 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70666\/6 + -3 + (-368)\/138.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 12:18 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**3 - 4*v**2 - 3*v. Let k(z) = -2*z**3 + 2*z**2 + z. Suppose -3 = -5*n + 5*b + 12, 3*n - 41 = -5*b. Determine n*k(f) + 3*t(f).\nAnswer: -2*f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/70 - (-18)\/(-63)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 4 (c) 129652\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0)\/((-4)\/(-6)). Let a(n) be the third derivative of -n**4\/24 + n**3\/6 + 3*n**2. Let l be a(s). Let k(d) = d**3 - 4*d**2 + 2*d - 1. What is k(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7180247 and -16195549.\nAnswer: -23375796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*h*t + 78*c*t**2 + 2*c*t - 29*h**2*t**2 - 5*h**2*t - 2*t - 6 wrt t?\nAnswer: 156*c - 58*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 20*z**4 - 32*z**3 + 24*z**2 + 24. Let g(f) = -f**4 + f**3 - f**2 - 1. Let q(y) = -24*g(y) - k(y). Determine i, given that q(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-10) - (18\/15)\/(-2). Suppose -c + 2*w = -7, -8*c = -i*c - w - 44. Suppose c*l = 5*l + 21740. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13348 and -0.2?\nAnswer: 13348.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1114092?\nAnswer: 1114092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - -3) + (-379 - -385).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673698, 2694752, 6063176, 10778970, 16842134?\nAnswer: 24252668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/5*c + 0*c**2 - 4\/5 - 2\/5*c**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -147. Suppose -6*g + 4*g = -x. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**2*j**3 - 2*f**2*j**2 + 23*f**2*j + 2*j**3 wrt j?\nAnswer: -30*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 54 + 4*f - 12 - 20 - 18. Let p = -135 - -129. Give k(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3404, -3288, -2974, -2354, -1320, 236, 2422?\nAnswer: 5346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + g**3 + 2*g**3 + (-2 + 0 + 0)*(-2 + 2*g**3 + 2) + 0*g**3 - 3*g**3 + 5*g**3 + (100 + 20 - 44)*(-g + 0*g + 0*g)*(7*g**2 - 2*g**2 - g**2).\nAnswer: -307*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 4*z**2 - 39970*z + 159913. Calculate t(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.46 + -0.06. Let i = -7649\/34056 - -9\/3784. Sort -5, i, n, 17 in descending order.\nAnswer: 17, n, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c - 708. Let h be o(21). Is -582 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 51 = -r, -2*l - 81 = 3*l - 3*r. Let u be (-1580)\/l - 2\/(-9). Calculate the highest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 9641385?\nAnswer: -964138a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/65338 and -107\/477204.\nAnswer: 171316236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**5\/3 + 65*m**2\/2 - 55. Let v(h) be the second derivative of d(h). Let b(y) = y**2. Calculate v(b(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a**3 - 8*a**2 - 198 wrt a?\nAnswer: 9*a**2 - 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -199*j + 10583. Calculate the remainder when f(52) is divided by 66.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6085611 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: b\"What is the yth term of 405, 884, 1399, 1962, 2585, 3280, 4059?\n\"Answer: 2*y**3 + 6*y**2 + 447*y - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 283 and -121073037?\nAnswer: 121073320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 210 + 3*1\/3. Suppose -6*s + 29 = -h. Suppose 4*p - s = 5*m, 4*m - 2*m + 13 = p. Solve -3*z = -0*z - 5*q + 11, p = -5*z + 5*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - a = 6*a + 4, -3*s - a = -25 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*o + 1 = -4, -68 = -4*p + 4*o. Suppose 4*x = 5*l - p, 10*x = 8*x - 4*l + 16. Solve 0 = -x*n - n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h + 1. Let p(r) = -9*r + 2. Suppose w = -m - 0*m, -3*w - 4 = 4*m. Suppose w*x - x = 9. Determine x*p(v) - 5*u(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 443 - 440. Suppose 0*s**2 + 0*s + 0 + 0*s**4 - 1\/4*s**5 + 1\/4*s**r = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14416 + -7802. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2954\nAnswer: -5\/2954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*s + 2*u - 19, -4*u - 20 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37\/17? (a) -5 (b) 4 (c) -844\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-7)*-2)\/2)\/(2\/(-91)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -152, -248, -344, -440?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 43208 + 4988 = -q, -5*d + 4*q = -63683. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -993, -2, 4\/15, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9caa (base 13) in base 6?\nAnswer: 245325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 206989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-4)*4\/(-14)*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 26860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 4:59 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/12 - 2*y**3 - 67*y - 12. Let v(s) = 13*s. Calculate w(v(m)).\nAnswer: 169*m**2 - 156*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99469 - 50223. What are the prime factors of v?\nAnswer: 2, 24623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(12)\/sqrt(4) + -3*sqrt(75) + -4*(sqrt(432) + sqrt(432) + 3*sqrt(432)) + 4.\nAnswer: -254*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1908.\nAnswer: 3816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*21\/(-35) - -22. Sort v, -4, -3 in ascending order.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 7. Let j be ((-4)\/u)\/((-3)\/(-9)). Find i such that 0 + 1\/2*i**j - i = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-2\/11))*b*b**3)\/(b*b**(2\/7)*b)**(-49) assuming b is positive.\nAnswer: b**(1274\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9310781, 2, 7.\nAnswer: -9310781, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140 - 0?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038638?\nAnswer: 2, 251, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - j + 12, -5*j + 16 = n - 4*n. Suppose 17 = 3*w + 2*u, 3*w - 4 - 7 = -5*u. Let y = w - n. What is the highest common divisor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4 - 7\/(-2). Suppose m*z - 44 = 71. Suppose 4*q - 53 = -2*s - z, 0 = s - 1. Is q equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199.696 + 0.296. Let n = a - -192. Round n to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksss when four letters picked without replacement from ssssskskkskkk.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 240d4 - -21?\nAnswer: 24105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 72 = -13*g - 3946*b + 3949*b, 0 = -g + b + 14 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.974131 litres to millilitres.\nAnswer: 974.131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -17*s - 15. What is f(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523346.\nAnswer: 2, 3, 11, 23081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.444 - 0.42. Let q = 0.136 - n. What is the second biggest value in -0.4, 1, q, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2203015223 - -1?\nAnswer: -2203015222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(56)\/sqrt(8))**2 + (sqrt(448)*-1)**2.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13111, -52522, -118233, -210244, -328555, -473166?\n\"Answer: -13150*j**2 + 39*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11722*x**3 - 231*x**2 - 13*x + 4. Let l be r(-3). What is l rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -3\/821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11*z**2 + 6*z - 132. Let n(k) = -11*k**2 - 8*k + 130. Give -4*f(x) - 3*n(x).\nAnswer: -11*x**2 + 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62700 and 162360?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1165244 and 7977?\nAnswer: 1157267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3696 = -162*f + 316*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 16*f**2 + 3 + 42\/5*f**5 - 3*f**6 - 7\/2*f**4 - 34\/3*f**3 - 8*f. Determine v, given that w(v) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = -4*y. Solve 6*s - 2*s = y*a - 29, -3*a + 15 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 71074 + 530. What is the second derivative of -h*w**5 - 51*w - 33*w + 7841*w**5 wrt w?\nAnswer: -2300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162097520?\nAnswer: 2, 5, 13, 155863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.8228 rounded to 1 dp?\nAnswer: -87.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*(m\/((m*m**(-2\/9)*m*m)\/m*m*m))\/m))\/(m\/m**25)*(m**(-5\/9)\/m*m)**(-6\/13) assuming m is positive.\nAnswer: m**(3397\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/(-42)*2933\/(-3352). Let q be (-1 - -2)\/((-2)\/(-8)). Suppose -4*u + u = 3*i - 9, 5*u - 25 = 5*i. What is the nearest to h in i, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + 7 - 4) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u + 15*u - 2012 - 27*u.\nAnswer: 2*u - 2012","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*q**2 + 3170*l**2*q + 1050621*l*q**2 - 50351*l*q wrt q.\nAnswer: -6*l**2 + 2101242*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 32 = -32*g + 5*b, 5*g - 3*b = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}