diff --git "a/data/dm_maths/full_data/1497_11255.jsonl" "b/data/dm_maths/full_data/1497_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1497_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (k**(-1\/7)*k)\/(k*k**(-2\/3))*(k*k\/(k*k**0*k)*k)**(11\/4)*((k*k\/(k\/(k*k*k*k**4*k)))\/(k**(-2\/5)*k))\/(k**(3\/7)\/k*k**(-1\/3)) assuming k is positive.\nAnswer: k**(1761\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:16 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y, 4*t - 3*t = -5*y + 4. Suppose m - 2*m - t*s = -39, -4*m + 3*s = -99. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 458 + -456. What is the derivative of 16*g - 99*g + 10*g**d - 8*g**2 + 202 wrt g?\nAnswer: 4*g - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22559 (b) -312 (c) 4\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from eeeeqeqeee?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462, 929, 1400, 1875, 2354?\nAnswer: 2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65, 131, 211, 311, 437, 595, 791, 1031?\n\"Answer: m**3 + m**2 + 56*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from -118.576286273.\nAnswer: -118.536286273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n + 40 = 0. Let x(w) = 5 - w**3 - 9*w + 0*w + 8*w - 8*w**2 - 1. List the prime factors of x(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166\/(-120) + ((-120)\/450)\/(-2)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 58*s + 3236. Let y be h(68). What is the greatest common factor of y and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1150.46\nAnswer: -1150.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2409 is divided by 245.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 - x**3 + 3*x**3)*(25*x - 5*x - 2*x) + (0*x**2 + 2*x**2 - x**2)*(2*x**2 + 1 - 1) + 31*x**4 - 2*x**4 + 17*x**4.\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81536269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13604 = -p - 2*f, -4*f = -22*p + 26*p - 54400. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45110 - 90215\/2. Find z, given that -1\/2*z**3 - c*z**2 + 5\/2 + 1\/2*z = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*g - 94 = 33*g - 5*b + 103, 5*b + 339 - 314 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420910787, -420910789, -420910791, -420910793?\nAnswer: -420910795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7828, 7396, 6972, 6562, 6172, 5808, 5476?\n\"Answer: h**3 - 2*h**2 - 433*h + 8262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 218544.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 68\/(-36) + (-1)\/3. Is x greater than 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**5 - 14*g**4 - 4*g**3 + 4*g**2 + 4*g - 4. Let v(x) = 5*x**5 - 13*x**4 - 3*x**3 + 3*x**2 + 3*x - 3. Let q(c) = 3*o(c) - 4*v(c). Factor q(l).\nAnswer: -5*l**4*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**21*n*n*n*n)**(-21\/5))**(4\/3))**8)**(-50) assuming n is positive.\nAnswer: n**56000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1 - 12*z - 4*z**2 + 9 + 11 + 5*z**2. Let m be p(10). Suppose -m = -13*q + 51. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8092.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 6*u**2 - 6*u. Let z be j(-5). Let p = -9969.02 - -9969. Sort z, -0.2, p.\nAnswer: -0.2, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7685 is divided by 7533.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2264 is divided by 444.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((639\/213*(-2)\/(-54))\/(4\/102))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 367 (base 9) to base 7\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 351435 not equal to 351444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5562 + 112?\nAnswer: 6004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 2:25 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 2\/23, -3, 2\/7 in decreasing order.\nAnswer: 5, 2\/7, 2\/23, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/3)*r**(-1\/7))**(-13)*(r*r**2*r*r\/(r\/(r\/r**4)))\/(r**(-1\/7)*r*r**(2\/5)) assuming r is positive.\nAnswer: r**(-236\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.144.\nAnswer: 0.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1693 - 1696. Which is the closest to 224? (a) 2 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2305 divide 824613823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 3*j**2 - 5*j - 7. Let k be h(-3). Suppose 2 - k = -3*v. Solve 3*f + 4*t - 13 - 7 = 0, -f + v*t = 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 + -0.5. Sort x, -1\/3, 0.4.\nAnswer: -1\/3, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.15, 28, -1 in descending order.\nAnswer: 28, -0.15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 13*m)*(-2 + 3 - 5).\nAnswer: 52*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*o = -10 - 45, -4*o - 42 = -3*j. What is the smallest common multiple of j and 1450?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897056.\nAnswer: 2, 3, 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -243547895*a**4*c**2 - 2*a**2*c + a*c**2 + 2*a*c - 54*a - 3230*c wrt a.\nAnswer: -5845149480*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6946, 2953, -1038, -5027, -9014?\n\"Answer: h**2 - 3996*h + 10941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 64.945532368 and 4331.\nAnswer: 4395.945532368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -13. Let k(p) be the first derivative of 0*p + 0*p**5 - 1\/3*p**6 + 0*p**4 + 0*p**3 + s + p**2. Find the second derivative of k(h) wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350*m**3*p**3 - 3*m**2*p**3 - 5*m*p**3 wrt m.\nAnswer: -2100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16 - 0.14. Let s = k + 12.3. Let p = s - 5. What is the nearest to 2\/5 in p, -3\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -100.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*sqrt(288)*-4 - ((sqrt(288) - (0 + sqrt(288) - sqrt(288)))**2 + 5)).\nAnswer: -288*sqrt(2) - 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -32, -35, -42, -53, -68?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and -39.3.\nAnswer: 8.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -124352, -248717, -373082, -497447?\n\"Answer: -124365*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 524250 to the nearest one thousand.\nAnswer: 524000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -68b (base 13) in base 15?\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5. Suppose c = -5*d - 3*s - s + 52, -3*d = 3*s - 30. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -3723867852745.\nAnswer: -3723867852740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2448) - (sqrt(2448) - (-1 + sqrt(2448)))) - (sqrt(2448) + 3*(sqrt(2448) + 1)**2) - (sqrt(1666)*1)\/(sqrt(2) + (sqrt(2) - -6*-1*sqrt(2))).\nAnswer: -7349 - 281*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/2 - b**3\/3 + 2*b**2 - 5*b - 826. Give w(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76738*x**3 - 2*x - 62812?\nAnswer: -230214*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 34*g**2 + 36*g + 8. Let r be i(-35). Let x = r + 1617. What is x rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3380776.\nAnswer: 2, 7, 73, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kssksskkskkkk. What is prob of sequence kkk?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2988479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = -r, -3*r - 3*d + 3 = -8*d. Which is the second smallest value? (a) -0.3 (b) r (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.34. Let h = i - 0.06. Suppose -k + n - 1 = 0, -2*k + 3*k + 13 = -2*n. Which is the smallest value? (a) k (b) 3\/8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 231492*k**2 + 3473013*k - 3241518 = 0 for k.\nAnswer: -77179, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 2*n. Let x(b) be the second derivative of 9*b**3\/2 - 25*b. Determine y(x(a)).\nAnswer: 2187*a**2 - 54*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*b**2 + 0*b + 0*b - 117*b**2.\nAnswer: 69*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9063 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*h - 10. Suppose 5*v - 86 = -66. Solve 5*i - 2*s + 6 = 0, 2*i + v*s = 4*i - h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + v = 18, -13*v + 16*v = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2956821 and 0.044714279.\nAnswer: 2956821.044714279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -183*-12\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 343822930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1e5 (base 15) to base 5\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:06 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4633.913 rounded to the nearest 10?\nAnswer: -4630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + 2 + sqrt(12)\/sqrt(4) + sqrt(3) + sqrt(3)))**2.\nAnswer: 6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847091401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184097923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1099604*i**5 + 39*i - 12468 wrt i.\nAnswer: 21992080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-12)*(0 - 1). Is l > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 z when four letters picked without replacement from {z: 1, s: 4, b: 9}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 513 = 4614. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179758 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)*v**(4\/9)\/v)\/(((v\/v**(-1))\/v)\/(v\/(v*v**(-1\/12)))) assuming v is positive.\nAnswer: v**(-107\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 4*v**2 + 3*v - 4. Let t be z(-5). Does 15 divide (-80)\/t*(-18)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + (1 + sqrt(1584) + sqrt(1584) + sqrt(1584))*-6 + (sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 0)))*2)**2.\nAnswer: 405504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 3, i: 3, c: 5, q: 1, p: 7}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 774 by -1.\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-323)\/(-95) + (-2)\/5. Solve -4*b = -v + 7, z*b + 5*v + 26 = -8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 123*d**2 - 42*d - 63. What is l(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.541774903 to four dps.\nAnswer: 1.5418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/41 + 197\/82. Let x(b) be the first derivative of 6\/5*b**5 - c*b**2 + 0*b + 3 + 0*b**3 + 0*b**4. Find the second derivative of x(o) wrt o.\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*c + 11 - 2*c**2 + 41*c - 13 - 19*c + 44*c to the form l + r*c**2 + j*c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -11) + -11 + (-4 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/12 and 43\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 5) to base 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, 14, -0.033, -1 in increasing order.\nAnswer: -5, -1, -0.033, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -9*l - 33 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htuuughut. What is prob of sequence uguu?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15c + 3?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 7*v - 2*v = 27, -85*f + 79*f = -3*f + 3*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -3 - 30\/(-6). Suppose 0 = y*p + t + 2, 4*p + 4*t + 7 + 1 = 0. Solve p*s = -s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0190625 meters in centimeters?\nAnswer: 1.90625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 12*v**2 + 13*v - 5. What is b(-11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 11*q**3 - 31*q**2\/2 + 35. What is the second derivative of k(p) wrt p?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 194*v**2\/3 + 9866*v\/3 - 476 = 0.\nAnswer: -51, 14\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -4*x - 4*y, -4*x - y = 2*y + 92. Let w be x*(-2)\/28*1. Which is greater: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 1491 + 1488 - 2979.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -9. Let s be 4\/h*(1 + 2). Suppose -2*o - 2*f - 12 = 0, -s*o - 3*f = -1 + 15. Which is smaller: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1529, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 36 = 2*o, 3*o = o - 4*j + 36. Suppose -2*x - 3*t = -7*t + o, -2*t = -8. Is x less than -1\/92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgls when four letters picked without replacement from ggggsggsslgl?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, 0.004, -3, -2\/3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 1. Let t(l) be the third derivative of 0*l - 1\/6*l**4 + 0 - 9*l**2 - 1\/60*l**5 - 2\/3*l**3. Let c = -293 - -292. Determine c*t(n) + 4*v(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 1. Suppose f + 44 = 4*g. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1581.778g?\nAnswer: 1.581778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 168794.319 and -9.\nAnswer: 168785.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 4. Let g(s) = -s - 8. Let x be g(-10). Suppose -7*p + x*p = -20. Suppose -3*i = 5*b + 24, -b = -p*i + 4*b + 3. Give h(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kntcncncccttcttkakac. What is prob of picking 2 c and 2 a?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7155271 + -158\nAnswer: -7155429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 583212 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50419215, 100838459, 151257717, 201676995, 252096299, 302515635, 352935009, 403354427?\n\"Answer: g**3 + g**2 + 50419234*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/sqrt(90) + (sqrt(19)*-1 + sqrt(19))*6.\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/9*3)\/((-2)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u + 120 = -84 - 498 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 1867212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -26) + 8 + 2 - 20.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-2))\/(-4))\/((-237)\/(-632)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -2\/53, 120, -1\/5?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4, -3*x - 6*z + 9*z - 12 = 0. Which is greater: x or 1\/211?\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-230)\/(-40))\/(-23))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 x when three letters picked without replacement from {p: 2, v: 1, s: 2, k: 1, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -837 + 117d0c?\nAnswer: 1174b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 106470 = -36*h - 25*h. Calculate the highest common divisor of h and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3191237 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 22. Let i(o) be the third derivative of o**4\/4 + o**2. Is i(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (-4)\/(4\/(-529)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -130 - -4?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -691\/3887 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 587*m - 473*m - 1824 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 83280.\nAnswer: 582960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/(-21))\/(((-121)\/33)\/11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d16 + 30?\nAnswer: -1ce6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p - 2. What is n(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.12, 881, -3\/4, 4, 3?\nAnswer: 881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316.9137kg to grams.\nAnswer: 316913.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -110?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, l: 6, d: 3, j: 4, w: 3}. Give prob of sequence jwld.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(408\/(-192))*(-2)\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*17\/(306\/24). Suppose -b*k - 4*w = -3276, -w + 818 = k + w. What are the prime factors of k?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2007298, -2007266, -2007212, -2007136?\nAnswer: -2007038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -39*i**2 - 92*i - 9. Determine a(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.78 and -0.7?\nAnswer: -17.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 1. Let q(k) = 553*k**3 - 10*k + 64. Let w(n) = q(n) - t(n). What is the second derivative of w(h) wrt h?\nAnswer: 3318*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6314 - 3981. List the prime factors of p.\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23258, 23083, 22790, 22379, 21850, 21203?\nAnswer: 20438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13130 and 2210.\nAnswer: 223210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (7 - 6) + 4 - (-14 - (55 - 23)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20817 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.54 + 29.54. What is the closest to -1.81 in j, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i + 21*i - 23*i.\nAnswer: 29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270203.\nAnswer: 47, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3121 + -2234. List the prime factors of c.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 260\/(-160)*-184. Solve -314*x + 91 = -h*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from cwcowmcomcocommggc?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: (4\/4)\/(((-1)\/5)\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-24))\/(6\/10)*-1.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1943 = 120*u - 980 - 3317 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702.1573m in nanometers?\nAnswer: 702157300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 0.2, 1, -5 in decreasing order.\nAnswer: 1, 0.2, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y**2 + 3*y. Let s(f) = 8*f**3 + 16*f**2 + 17*f. Determine -5*h(j) + s(j).\nAnswer: 3*j**3 + 11*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/5 - (-924)\/15?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100265 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51.45844 litres?\nAnswer: 51458.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (4 - -13)) + 4. Let s = f - -15. Solve -2*h + 4 = -s*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwkkleehehpl. What is prob of picking 1 l, 1 e, and 1 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3845\/4 + -961. Let q = -1.4 + 0.4. Let p = 0 + q. What is the nearest to p in 1.9, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 8*l**2 - 4*l + 7. Give y(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 178942?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 + 3*g**4 + 800*g**3 - 1122697*g**2?\nAnswer: -60*g**2 + 72*g + 4800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlrmlmmlmmillll. What is prob of picking 1 r and 2 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9889, 8350, 4171, -3968, -17387?\n\"Answer: -220*r**3 + r + 10108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -500252.357 rounded to the nearest 1000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - 2*(sqrt(102) + -2*sqrt(102)))) + sqrt(102) - sqrt(102))\/(sqrt(600)*-1).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -704, -1050?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 5)*(-2*x + 0*x + x) - 8*x - 3*x - 3*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 436*r**2 - 17868*r + 68255. Determine b(-474).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 41625*d - 4853000.\nAnswer: 5*(d - 8440)*(d + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1572, -1838, -2288, -2928, -3764, -4802, -6048, -7508?\n\"Answer: -v**3 - 86*v**2 - v - 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26922?\nAnswer: 2, 3, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -22, 14 in increasing order.\nAnswer: -22, 0.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 - (-1 + 13 + -2 + 6 - -19)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 33*x + 13 = 5*w - 34*x, -1028*x = -3*w - 2047 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28012.\nAnswer: 2, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 986 and 4176?\nAnswer: 70992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1573628 and 3142028.\nAnswer: 5228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*a - 2*h, 0 = -4*a + a - 4*h + 10. Let z be a\/12 - -817*(-62)\/(-12). Suppose -z = -4*b + 5*u, -4*b + 8*b - u - 4201 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-17)\/h)\/h)\/(h**(4\/17)\/h) assuming h is positive.\nAnswer: h**(-310\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u**5\/4 + 548*u**4 - 6727*u**3\/4 + 429*u**2\/2 = 0. What is u?\nAnswer: 0, 2\/15, 3, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -4. Suppose 4*z = 3 + 1. Suppose 2*u + 5*g - 4 = 0, 2*g + 10 = 5*u - 0*u. Which is the closest to z? (a) -1\/3 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f. Let d(k) = 119*k**2 + 1036. Calculate p(d(s)).\nAnswer: 1190*s**2 + 10360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -11*z**4\/8 + 73*z**2 - z. Let b(v) = 5*v**2. Determine b(f(w)).\nAnswer: 5445*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3 + 223411*p**2 - 45990839*p + 2367981845 = 0.\nAnswer: 103, 223205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbnf when four letters picked without replacement from {n: 1, f: 1, b: 1, h: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 3 = 2*p. Let d be 31 - -2 - (p - 6). Let h = d + -21. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-440)\/176)\/(12\/48*1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300450241 (base 6) to base 16.\nAnswer: 4d7631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.600715 - 0.00954. Let q = -291.625825 - t. Let r = -292 - q. What is r rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -22. Put -46, r, 4, -1\/4 in descending order.\nAnswer: 4, r, -1\/4, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-5) - -1)\/(18\/90). Find the second derivative of 6*h**5 + i*h**5 + 4*h - h wrt h.\nAnswer: 180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.112 - -0.012. Let c = f - -1.1. Put -0.3, c, -4 in descending order.\nAnswer: -0.3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 60.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -42*s - 2. Let h(w) = 3933*w - 2859. Let d(x) = h(x) - 5*k(x). What is the first derivative of d(q) wrt q?\nAnswer: 4143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46955737*v**2 + 20331731*v wrt v?\nAnswer: -93911474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*(2*sqrt(1100) + sqrt(1100) + sqrt(1100) + -2)*5)**2 + 5 + 5.\nAnswer: -64000*sqrt(11) + 7041612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -37*o**2. Let v(h) = 6*h - 5. Calculate w(v(t)).\nAnswer: -1332*t**2 + 2220*t - 925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.168 - 4.502. Let q = i + 0.17. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -15*k - 32, 3 = -0*z + z - 2*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5585336, -5585332, -5585326, -5585318?\n\"Answer: c**2 + c - 5585338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + 3 + -6*sqrt(133)\/sqrt(7).\nAnswer: -6*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/18)\/(5\/5*-1). Let t be (-16)\/(-20)*(-6 - -1). Let n = -20 - -16. Which is the closest to t? (a) n (b) q (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 24. Let n be j(18). What is the tens digit of 1910\/n - (2 + (-14)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10402553 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.036 less than -7\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/15 (b) -5 (c) 0.5 (d) -3 (e) 13313 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.11399 months to centuries.\nAnswer: 0.225928325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**6\/360 - a**5\/10 - 4*a**4\/3 - 80*a**3\/9 - 2035*a**2. Factor g(u).\nAnswer: -(u + 4)**2*(u + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3547, 3553, 3563, 3577, 3595, 3617?\n\"Answer: 2*c**2 + 3545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 + -167. Solve 5*v + 2*j = h, -2*j = -2*v + 3*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11903496 and 88735152.\nAnswer: 976086672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**4\/2 + 3*v**3 - 3*v**2 + 22*v + 167. Let o be c(4). Solve 0*z = -o*z - 42 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1322, -5267, -11872, -21161, -33158, -47887, -65372?\nAnswer: -85637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzzbbtbtbzzzzt. What is prob of sequence xttz?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -573 divided by 20\nAnswer: -573\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.03, -1\/4, 0.95, -0.2901.\nAnswer: -6, -0.2901, -1\/4, -0.03, 0.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 9*o + 22*o. Let v = -12 - -17. Solve 10 + o = -v*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20736 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3143018 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - 7*w + 7. Let q(r) = 3*r**2 + 6*r - 6. Let v = -998 + 26. Let z = -965 - v. Let f = 11 + -5. Determine f*d(t) + z*q(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, 1, 3.\nAnswer: -2, 1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2. Let o(a) = -a + 4. Let f = 19 - 24. Let r(v) = v - 5. Let u(w) = f*o(w) - 4*r(w). Calculate u(g(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -23*j - 1. Let u(i) = 24*i + 2. Determine 4*u(f) + 5*x(f).\nAnswer: -19*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifteenth of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 900800 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = 8. Let q = 6 + -1. Let r = q - 10. Put 5, r, v in decreasing order.\nAnswer: 5, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (sqrt(6)\/(sqrt(16)\/sqrt(8)))**2 + 2 + sqrt(3)*-3).\nAnswer: -15*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 34*t**2 + 10*t + 3. Let x(f) = 2*f + 1. What is i(n) - 5*x(n)?\nAnswer: n**3 + 34*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015724973 rounded to six decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/6)\/(-16) + 10\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002726834627 to six dps.\nAnswer: -0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 3. Let u be (-2)\/(51\/(-90) - 2\/20). Suppose 21 = 3*l - 39. Let r(a) = 8*a - 20. Determine l*n(y) + u*r(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(256\/(-25))*1408\/(-80).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899 at least 9797\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 847*z + 4181. Give p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-3) - (-6)\/9. Let s = -4 + l. Solve -4*r + 8 = -s*z, -2*z = -r + 8 - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.023 + -0.023. Let m be (-1*1)\/(-3 - -2). Let u be (5\/4 - 2)\/m. Put u, a, 1 in ascending order.\nAnswer: u, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*f**2 - 21*f**2 + 51*f**2)*(-f**2 - 2*f**2 + 5*f**2) in the form n*f**2 + c + w*f**4 + g*f + x*f**3 and give w.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13370, -13355, -13340, -13325?\n\"Answer: 15*y - 13385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -191b3 (base 13) in base 3?\nAnswer: -2110201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -391\/343 - 3993337\/11319. Let l be 353 - (-1 - (0 - 0)). Let s = l + w. Does s = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*z + 110*z + 93*z - 88 + 86 - 268*z.\nAnswer: 36*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 12\/5, 0.2, -5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.439, -0.38, 1.\nAnswer: -0.38, 0.439, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10253005 (base 6) in base 15?\nAnswer: 5e9eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/23545 and -31\/13850.\nAnswer: 235450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 5*g + 18, a + 5*g - 8 = -22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - c = -4, -4*a + 4*c + 1 = 17. Put 2, 5, a, -10, -2 in increasing order.\nAnswer: -10, -2, a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**5 - 3*k**4 + 18*k**3 + 10*k**2 - 3*k - 3. Let q(v) = v**4 - v**3 + v + 1. Let l(f) = g(f) + 3*q(f). Factor l(a).\nAnswer: -5*a**2*(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 14.1, -3\/26, 14\/5?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 896.\nAnswer: 1\/896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -50. Let o = g - 2. Let m = o - -75. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 13*p**2 + 39*p - 6. Calculate c(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**5\/60 - 13*n**2 - 2. Let l(h) = -56*h**2. Give l(p(x)).\nAnswer: -56*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2247, 4499, 6751?\n\"Answer: 2252*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y. Let b be k(1). Let a(h) = 0*h**2 - 55*h + 12*h**2 + 55*h + b*h**2. Let u(r) = 10*r. Give u(a(t)).\nAnswer: 160*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + (sqrt(120)\/sqrt(108) - sqrt(10)))\/(sqrt(4)\/(sqrt(4)\/sqrt(2)) + sqrt(2) - sqrt(2)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.075*-9898\nAnswer: 742.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 329, 448, -0.16 in increasing order.\nAnswer: -0.16, 37, 329, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 * 2452.\nAnswer: -107.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (2 - 0\/(-1)). Suppose 3*k + 9 = -u*t + t, -5*k = 2*t - 4. What is the remainder when 6 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from {t: 1, g: 1, e: 2, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(3*sqrt(7) - sqrt(7)) + (sqrt(7) - (-2 + sqrt(7)))*-3.\nAnswer: -6 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 3 = -42. Solve 4*h - 26 = 2*n, w*h + n + 3*n = 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*t**3 - 304 + 109*t**3 + t - 232*t**3 + t wrt t?\nAnswer: -54*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(1*sqrt(2)) + -3 + (sqrt(57)\/sqrt(3))**2.\nAnswer: sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.33 + 171321379.\nAnswer: 171321392.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5559*p**3 + 2165*p**3 + 2162*p**3 + 1234*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + -20 + (-25 - (-10 + -16)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3745 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 2*z + z**4 - 2*z)*(0 + 2 + 1)*(1 - 1 + 1) in the form x + l*z**2 + m*z**4 + b*z**3 + p*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**8\/1512 + q**7\/105 - q**6\/180 - 5*q**5\/54 + q**4\/6 + 458*q**2 + 1. Suppose v(t) = 0. What is t?\nAnswer: -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -331, -322, -313, -304, -295?\n\"Answer: 9*u - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:34 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**4\/6 + t**3\/2 + t**2 + 113. Give h(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41707517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467975.9l in millilitres?\nAnswer: 467975900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.783679 millennia to years.\nAnswer: 9783.679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**3\/7 + 870328*c**2 + 2319705670340*c\/7 - 37116850369600\/7 = 0.\nAnswer: -761545, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 7051 (c) 7 (d) -1\/4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*b + 15*b**2 - 4*b**2 + 21*b**2 + 221*b to c*b**2 + r + m*b and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2\/5 + 24*a\/5 + 64\/5 = 0?\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 187 + 66)*(-2 + 4 - 5)*(-7*u**3 + 2*u**3 + 3*u**3).\nAnswer: -552*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -11*h**5\/120 + h**3\/3 - h**2\/2 - 40*h. Let z(u) be the second derivative of v(u). Let i(s) = -7*s. Determine i(z(w)).\nAnswer: 77*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r - 203317 = -1305613. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**9*r))\/r)\/r)\/(r**(2\/69)\/r)*r**8\/(r**24\/r))**(-3\/32) assuming r is positive.\nAnswer: r**(1727\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3934*f - 3937*f. Suppose -5*n = a, 0 = -2*a - 5*n + n. Suppose -5*p + a = -10. What is the remainder when p is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 21*z + 416 = 0. Which is smaller: z or -77\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 365*c**2 - 1104*c.\nAnswer: c*(c - 368)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-12)\/(-10) - 1). Let t = -2 + 0. Let z = -5.90664 - -1.90664. Which is the fourth smallest value? (a) h (b) 1\/2 (c) t (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7366719259 and 0.3?\nAnswer: 7366719259.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 4*t**2 - 4*t**2 - t**2. Let h(x) = -x + 3*x - 3*x. What is h(b(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00182562 to five decimal places.\nAnswer: 0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m + 114 + 90 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5. Let r(i) = 1. Let x(y) = -p(y) + 4*r(y). Let f(n) = -n + 2. Suppose -3*g = -4*g + 2*c + 6, -g = 5*c + 22. Let j(h) = g*x(h) - f(h). What is j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 327623*v**2 - 8*v**3 - v + v**4 + 327623*v**2 to m*v**4 + u + o*v + q*v**3 + d*v**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -694, -2750, -6170, -10948, -17078, -24554, -33370?\n\"Answer: n**3 - 688*n**2 + n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -913 + 816.4. Let k = h + -159.9. Round k to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let r(i) = 5*i - 6. Let f be r(4). What is the lowest common multiple of 52\/f - (-10)\/35 and k(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 0.84 (c) 2\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g + 2. Let x be s(-5). Let d(k) = -45*k + 98. Let y be d(2). Calculate the greatest common divisor of x and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2683833 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 549 and 3904?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/6735 + 16433\/2694. What is the common denominator of 53\/14 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*o**2 + 19*o**3 - 16*o**3 + 37*o**3 wrt o?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 327774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:06 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {d: 1, v: 1, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -5\/2, 1090\/27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-15))\/(-4)*-7*(-40)\/(-1932)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11840*f**3 + 4069*f**3 + 3717*f**3 + 4086*f**3.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssssdsssnd?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 8. Give b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -79*f + 12. Suppose -3*x - 9 = -4*p, 2*p = -5*x - 2*p - 15. Let i be g(x). Suppose 0*w + 3*w = i. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671, 1741, 4577, 10037, 18979, 32261, 50741, 75277?\nAnswer: 106727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6108659 to the nearest integer?\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 79*u**2 - 1244*u + 6106. What is f(60)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14440 (base 5) to base 7\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-1080)\/297)\/(-20))\/((-4)\/(-5))\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*f - 6 = 0, -7*j = -3*j + f - 7. Let i(w) = 13*w**2 - 4*w**2 - 11 - 7*w**j. Let o(k) = -k**2 + 6. Give -6*i(z) - 11*o(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*z - 934549 = 27*z. Is 53 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -365.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*g = 2, -3*x - 2*g = -3*g - 2. Suppose 0 = -2*o - 2*q, 2*q = 3*o - 9 - x. Is (2 - 4) + 37 - o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r + 20. Suppose -r*k + 3 = -2. Which is the third smallest value? (a) 0.3 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 165 = 16. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 56*t + 1. Is 51 a factor of x(56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133532 divided by -4?\nAnswer: 33383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 13*z**2 - 47*z - 11. What is the tens digit of b(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 46*a**2 + 14*a + 19. Let v be l(-3). Let f = v - -212. Is f a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - -1*sqrt(152))\/sqrt(8) + -2*sqrt(19)*2 + sqrt(19) + sqrt(475)*-6*4 + -3)**2 + 3.\nAnswer: 726*sqrt(19) + 278191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -79, -474, -1133, -2056, -3243, -4694, -6409?\n\"Answer: -132*j**2 + j + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -255218 times 66\nAnswer: -16844388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 + 5. Let w = -460853 + 461012. Calculate the remainder when w is divided by m(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 49153755 = -217846251. Let f be -5 + 54\/10 + g\/(-5). Round f to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1344756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*f**2 + 7*b**3*f*t + 3*b**2*f**2*t**2 - 22*b*f**2 - 2*b*f*t**2 - 2*f*t wrt f.\nAnswer: -4*b**3 + 6*b**2*t**2 - 44*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212 and 14724.\nAnswer: 780372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-242)\/(-10) + -63 + 22 + 17)\/((-32)\/(-10)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 319784 + 2\nAnswer: 319786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 3*c - 10. Let a be q(5). Solve a = -10*f + 37 - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -625903, -7 in increasing order.\nAnswer: -625903, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*s - 2*v - 5, 3*s = -4*v + 14. Suppose 4*b - 2*b - 6 = 0. Suppose -2 = -2*y - 5*h - 9, -b*h - 1 = -s*y. Which is bigger: 1\/5 or y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 32 = -5*n + 3*u, 4*u = -0*u - 16. Find p, given that 1\/5*p**5 + 5*p + 6*p**3 - 6\/5 - 8*p**2 - 2*p**n = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: What is the third smallest value in 5, -6, -5\/6, 0.01, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 1. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 327*2\/4*206. Let s = o + -56581. Round s to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 4.29562?\nAnswer: 47.25182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 270348808739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/10))**(-30)*x**(-7)\/((x**(-4)*x)\/x) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-242)\/((2\/5)\/((-4)\/20)). Suppose 2*v = -0*v + 214. Let w = o + v. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -395, -782, -1179, -1592, -2027?\n\"Answer: -t**3 + t**2 - 383*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 7, -4, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.59, 1\/3, 5\/3, -1\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.8 + -11. Let f = -265 - -269. Which is the third smallest value? (a) f (b) 0.03 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16*(-6)\/9*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3073117, -3073110, -3073103?\n\"Answer: 7*g - 3073124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -60*v - 138. Let q(s) = -30*s - 69. Let m(y) = 3*i(y) - 5*q(y). Is m(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 - 399*k**2 + 787*k - 188. What is z(131)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32936 divided by -46.\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8746 = 2*q. Suppose -2*u = 4*a - 3*a + 1751, -2*a + q = -5*u. Let f = 1608 + u. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 - z - 4. Let j be p(2). Let r be (-765)\/(-360) + 4\/j*-1. Let k = -6.67 + 1.67. Which is the nearest to 0.3? (a) k (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15009600 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 18. Let t(k) = -5*k + 17. Let h(y) = -6*l(y) + 7*t(y). Let r = -70 - -60. Let a be h(r). Round a to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/20 - j**4\/3 + j**3\/6 + j**2 - 2*j. Let k be (-5)\/((-40)\/(-12))*2. Calculate w(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (64\/(-20))\/(2\/(-55)). Let i = -24 - -95. Let p = i - 60. What is the highest common divisor of d and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**24)**(-35))**10 assuming t is positive.\nAnswer: t**(-8400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 140, 516, 1142, 2018, 3144, 4520, 6146?\n\"Answer: 125*u**2 + u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from ooagwwz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h**3 + 3*h**3 + 2*h**2 - 13*h**3 - 13 - 9 as w + q*h**3 + t*h + b*h**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 994*p**2 - 1886*p**2 + 895*p**2 + 3*p - 3*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 8*l - 20. Let m be d(-10). Let c = 55 + m. Calculate the remainder when 29 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Let s(k) = 25*k + 125. Let i be s(-5). Let p(o) be the second derivative of 1\/2*o**3 + 0*o**2 + 3*o + i. What is p(v(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/((x*x**(1\/3))\/x))*x*x*x)\/(x**(-4\/7)\/x))\/((x**(1\/4)\/x)\/x**(-4\/5)) assuming x is positive.\nAnswer: x**(2459\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119039 (base 10) to base 12.\nAnswer: 58a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1341728?\nAnswer: 2, 23, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + y + 25, -4*i - 11*y - 31 = -8*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 364*t**5 + 496*t**2 - 462*t**2 - 373*t**2 wrt t?\nAnswer: 21840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 2*g**2 + g. Let w be n(2). Suppose 0 = 2*t - 2 - w, h - 3*t = -8. Sort 1, 4, h in ascending order.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2760 by 5.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/33 and ((-137)\/(-7))\/(24\/7).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -202, -169, -122, -61, 14, 103?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -33382515.\nAnswer: -33382515.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 7\/3, 0.31, 0.5, -0.16?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -280144*n + 287405 wrt n?\nAnswer: -280144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - m = -13 + 29, -3*r = -4*m - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161664 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 1 (c) 0.3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*r + 5*i = -1669, -30*r + 17*r - i - 29 = -17*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnt when three letters picked without replacement from nnnctctnctnchcnnnenn?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25.212015us?\nAnswer: 0.00000042020025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.93*0.7\nAnswer: -0.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + v + 10 = 4*j, 0 = -j + 5*v - 4. Let u(w) = -4*w + 4. Let s be u(4). Let x be 150\/9 + (-4)\/s. Solve -h - j = 3*c, -1 = 3*c + 5*h + x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -118, 18 in increasing order.\nAnswer: -118, -5, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 7. Suppose w + m + 87 = 2*w, l*w + 4*m - 162 = 0. Calculate the highest common divisor of w and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1376251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8 and 19.\nAnswer: -53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 63. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 6 + 26)*(-2*a**2 + a - a).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 943, 2202, 3461?\n\"Answer: 1259*t - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*x + 5697 = -932, 2*r - 5*x = 2645. Suppose r = 9*k - 4*k + i, 0 = -3*i. Suppose 6*g - 3*g - 426 = 2*v, -5*v + k = 2*g. Is 45 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 5 = -16*i. Solve -5*t = 5*k + 45, i*k + 3*t + 31 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a. Let z(u) = -188 + 879*u**2 - 191 + 581 - 200. Calculate z(d(i)).\nAnswer: 3516*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-4 - (3 - 7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 845 divided by 7\nAnswer: 845\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/8 - 10\/(-4). Suppose -23 - 12 = -5*m. Suppose 0 = 9*z - m - 38. Solve 8 = o*d - z*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172 - -158. Let z(x) = 3*x**2 + 7*x - 79. What is the tens digit of z(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 d when three letters picked without replacement from {c: 2, t: 1, i: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccb when four letters picked without replacement from {b: 4, f: 3, c: 3, w: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 26*p + 3. Let d = -4 + 9. Is b(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1140548 - -28?\nAnswer: -1140520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273713077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8319*w - 66539. Determine y(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-5*t + 2*t + 2*t)*(-t**2 - 2*t**2 + t**2)*(-3 - 4 + 5).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/105436?\nAnswer: 3\/105436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86245186345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172250744?\nAnswer: 2, 21531343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -9, 4*v = 4*c - 2*c + 30. Let j(h) = h**3 - h + 1. Let q(u) = -7*u**3 - 4*u**2 + 11*u - 7. Let z(n) = v*j(n) + q(n). What is z(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 24*g**2 - 151*g + 61. Let s be r(6). Solve 3*o = -28 + s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 317 - 306. Suppose 4*v + 6 = -10. Let i be v\/14 - 699\/(-21). Calculate the highest common factor of s and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141650207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10823 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895468491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 6 = -7*w + 4*w, 3605 = 5*w + 2*z + 3591 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*-6*14\/84)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(432)*5)\/(4*(sqrt(4) + sqrt(4)*-2*-6)).\nAnswer: 15*sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(((-2640)\/(-18))\/22))\/((-2)\/(-30)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 2. Let r be b(8). Suppose -s + r = 3. Suppose s*k + 3 = -0. Sort k, -2, 5 in ascending order.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 + 4*y + 10*y - 23 - 4*y wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/360 + (-2224)\/2080.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -21*m**6\/100 + 347*m**5\/150 - 41*m**4\/15 + 4*m**3\/3 + 410*m**2 - 1. Let o(f) = 0. What is f?\nAnswer: 2\/9, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*3\/6 - 15\/4. Is c less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times -2711570?\nAnswer: 379619.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -3*z**4\/16 - z**3\/2 - 3*z**2\/8 + 3. Factor o(y).\nAnswer: -3*y*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8383, 8361, 8339, 8317?\n\"Answer: -22*z + 8405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/64965 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 - 2 = -n, -p - 4*n + 12 = 0. Suppose -p = -c - 1. Solve -2*j = 3 + c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjjjjjyyyyyj. What is prob of sequence yy?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:29 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (2620\/10)\/(-8*2\/(-856)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**4\/4 - u**3\/3 + u**2\/2 - 4*u + 1. Let r be z(0). Let y be (4 - r)*10\/8. Solve 5 - y = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1\/3, -2063, 2\/21 in descending order.\nAnswer: 8, 1\/3, 2\/21, -2063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 70\/14 + (7 + -1)\/(-3). Let u(i) = -4*i**2 - 4*i**v - 2*i - 1349 + 3*i**3 + 1350. Determine u(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.3, 21, -16?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 bigger than 379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5063036*c**5 - c**4 - 15771221*c**2?\nAnswer: 303782160*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6266185649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 59*i - 3. Let l be q(1). What is the second derivative of -55*f**2 - f + 38*f + l*f - 11*f**2 wrt f?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1e8c03 (base 15) to base 4\nAnswer: 11231223210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2382\/(-52))\/((-1)\/6). Let n = -275 + h. Let z = 0.6 - 0.9. Which is the closest to 1? (a) -1\/5 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t - 27. Let y be k(-3). Let m be (-10)\/(-2) - y\/(-3). Let v be (22\/(-77))\/((-2)\/14 + 0). Solve -v*p + 3*q = 20, 0*p + p + m*q - 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19642 is divided by 78?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from qrrlblzqrjrlrqllqbll?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3630?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 220840*t + 4416000.\nAnswer: 2*(t - 110400)*(t - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (4 - (1 + 0))) + 1220\/183?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16409 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52971.39 micrometers to nanometers.\nAnswer: 52971390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*q + 4. Suppose q*r - 17 = 18. Solve -2 = -r*c - 3*n, c + 14 = 2*n + n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 12 = -6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 179*g - 5833. Give t(-136).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-8802)\/(-8))\/(-1). Let u = 1117 - b. Let k = 3\/622 + -6688\/311. Find the common denominator of k and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3650 + -0.1031?\nAnswer: 3649.8969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37316559 divided by 4241.\nAnswer: 8799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 664258.68209 + -664262. Let a = 2793.32 + -2790. Let z = a + d. What is z rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 4*t**2 + 3*t + 1. Calculate s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:54 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/62 and -81\/11744660.\nAnswer: 11744660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 357 = 4*l. Let p(i) = -2*i - 2. Let o be p(-6). Let f = o + 1. Calculate the highest common divisor of l and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*g + z, -13 = 5*g + 229*z - 231*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 118 = 157. Let n = j - -186. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 + 245\/21. Suppose -5*f + f = h. Let a(j) = -5*j**2. Let w(r) = 6*r**2. Let x(s) = f*a(s) - 2*w(s). Let n(t) = -2*t. Calculate x(n(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333030332302 + 1?\nAnswer: 333030332303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-1))\/((-135)\/9 + 16). Which is the nearest to -2\/3? (a) 3 (b) -4 (c) u (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {f: 1, t: 1, h: 1, j: 2, r: 1, c: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6420 + -6404. What is the greatest common factor of 46 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -19213 + 19213 - 2*f. Let x(c) = -6*c. Give 8*j(k) - 3*x(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u. Let q(o) = -2*o. What is -4*a(t) + 5*q(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.56211nm in kilometers?\nAnswer: 0.00000000000656211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -31. Calculate the greatest common divisor of 162 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108900 and 2420?\nAnswer: 108900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 9 - 5)*(-3 + 2 - 1)*(6 - 6 + 4*y**3) to the form n*y**2 + s*y**3 + a + p*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/3 + v**3\/2 - 19*v**2\/2 - 9*v. Let d(f) = -2*f**2 + 2*f - 9. Let k(s) = 13*d(s) - 6*h(s). Determine k(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285253 + 281028 = -169*c for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 11:16 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 7*c - 3. Let r = 4 + 3. Let u = -1 + r. Let h be p(u). Solve 18 - h = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642213*m + 15105 = 642074*m + 371 for m.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111000010101110111011 (base 2) to base 15.\nAnswer: -d7280b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 369 + 59*k - 184 - 2*k**2.\nAnswer: -2*k**2 + 59*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 8. Let k(j) = 2*j - 8. Suppose -10*d + 6 = -13*d. Let s(z) = d*k(z) + 3*t(z). What is s(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0)\/(o\/(o\/o**(4\/3)))*o\/(o*o**(-2\/7))*o*o**(-5) assuming o is positive.\nAnswer: o**(-85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(((-69)\/6)\/(-23)))\/(-14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26\/25 - -208\/425. Calculate the common denominator of u and 40\/69.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 19*p - 38. Give u(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -971.1 - -1?\nAnswer: -970.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6903667979 and 17.42.\nAnswer: 6903667996.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 165 * 992500\nAnswer: 163762500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3\/2, 8, 0.3 in increasing order.\nAnswer: -8, -3\/2, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 311202 times -0.4?\nAnswer: -124480.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.163*8.72.\nAnswer: -1.42136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 5*g)*(0 + 1 + 1)*(g + 6*g - 2*g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 18*n**2 + 3*n)*(-1 + 2*n + 1).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -y - 2*y + 28, -5*y - 3*l = -15. Let w be y\/(-4)*(-80)\/30. Let a = 6 + -2. Solve 0 = -4*m - 0*n - n - 6, 2*m - w = -a*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -371933 < -371946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 + -2 + 8. Suppose k - 384 = -d*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Suppose -4*k + 33 = 5*q, -5*q + 21 = -5*k + 3*k. Is k < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -24*z - 6. Let q(b) = b + 1. Suppose 2*l = -5*i - 3, -4 = -2*i + l + 2. What is i*t(j) + 6*q(j)?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r. Suppose -5*m + 44 = -3*m + 5*d, r = m + 4*d - 28. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -64\/3 + 4*j**3 - 152\/3*j - 76\/3*j**2 = 0.\nAnswer: -1, -2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.2 (c) -1\/57 (d) 2 (e) -2\/3 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 2, -5, -9, 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724914.\nAnswer: 2, 3, 17, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = -2*r - 5*b - 60, -2*r + 4*b + 4 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n**3 - 2*n**2 - 2*n. Let d(q) = 175*q**3 - 45*q**2 - 45*q. Determine -2*d(m) + 45*z(m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -128101 equal to -2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3105 + 3369. What is the highest common factor of 99 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -1391?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, 4, -4, -2, 20 in decreasing order.\nAnswer: 20, 4, -2, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 960 + -535. What are the prime factors of s?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**2 + 5439*n - 290940 = 0.\nAnswer: -1865, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(3) + (sqrt(343))**2 + 5 + -2.\nAnswer: 2*sqrt(7) + 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 1.6. Which is the nearest to p? (a) 0.1 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 15. What is o(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10956 + -10677. Calculate the greatest common factor of i and 2542.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20023 (base 4) to base 2\nAnswer: 1000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/31)\/h**(-2\/13) assuming h is positive.\nAnswer: h**(88\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 72. Suppose 0 = -169*a + 166*a + w. Let v = a + 29. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/107513770 and -131\/6.\nAnswer: 322541310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + x - 24 + 142, 156 = 4*i - 2*x. Suppose -46 = -2*y - i. Let r(q) = q**3 + 0 - 1 + 0*q**y. Determine r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 0*j**5 + 0*j**5 + (-52 + 56 + 298)*(-3*j**3 - j**5 + 3*j**3).\nAnswer: -304*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 143 and 142 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -13*u**3 + 6 - 2 - 3 + 12*u**3. Let w(m) = m + 1. Let n(x) = 3*x + 6. Let y(l) = 5*n(l) - 30*w(l). Determine f(y(c)).\nAnswer: -675*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*k + 19*k - 7*k**3)*(5 - 5 + 1)*(-60 - 7*k + 60)*(-25 + 25 - 13*k).\nAnswer: -637*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 6*x**2 + 5*x - 5. Let g be 2*-1 + (7 - 0). Let t be s(g). Let n be ((-16)\/24)\/(4\/(-90)). What is the greatest common divisor of t and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*u = 8*u - 32, -w - u = -1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2 + 13. Suppose s - 128 = -4*u - 11, x*u + s = 146. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 74732564*k.\nAnswer: 4*k*(k + 18683141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5 + 72492*m**4 - 581760261*m**3 + 1533215441580*m**2 + 138826620632976*m + 1735458722072640 = 0.\nAnswer: -73, -15, 8084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8281748 is divided by 2070435.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 21*s**2 + 17*s + 49. Give n(20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (0 - 1 - -251)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 4 = 21*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 5*o + 24 - 1\/2*o**2. Determine g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -1 + (-4986)\/(-3). Let t = d - -1939. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167052401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round -600611264.7 to the nearest 1000000.\nAnswer: -601000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.828 + -1.172. Sort 0.4, n, -0.4 in increasing order.\nAnswer: n, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -58, -75, -114, -181, -282, -423?\n\"Answer: -z**3 - 2*z**2 + 12*z - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/(-12) + 94698\/(-3780) + 25?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b*b**22*b)*b**(-1\/2)*b**48\/(b**3*b) assuming b is positive.\nAnswer: b**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 25*u**2 + 23*u - 13. Let r(g) = g**3 - 12*g**2 + 11*g - 6. Let a(p) = 6*m(p) - 13*r(p). Factor a(b).\nAnswer: -b*(b - 5)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - -3*sqrt(21)*-5) + (2*sqrt(147))\/sqrt(7))\/(-5*(sqrt(7) + (sqrt(7) - ((sqrt(7) - sqrt(7)*-3) + sqrt(7))))*6).\nAnswer: -2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11265650 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.98 (b) 4 (c) -3 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 17 + 23 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*t - 2*t = 0. Suppose t = 5*o - 22 + 12. Suppose -3*b = -w + o*w + 11, -3*w - 5*b = 13. Sort 0, -5, w, 3.\nAnswer: -5, 0, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2303?\nAnswer: -2276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p - 6. Suppose -33 = -p*q + 195. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12472.\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23151, -46296, -69441, -92586, -115731?\n\"Answer: -23145*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18 - (-916150812)\/2484 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.24 or 14\/1845?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, -1, 3, -12, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Let g(s) = 3*s + l*s + s + 3 - 5*s. Let u be g(5). Calculate the greatest common factor of 143 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/85973268 and 31\/588858.\nAnswer: 85973268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -244491 in ascending order.\nAnswer: -244491, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*o**3 + 1405*o**2 - 70239*o wrt o?\nAnswer: 144*o + 2810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948140.\nAnswer: 2, 5, 13, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 9*b + 7*b. Suppose 3*w + b*x = 11, 12*w - 12 = 8*w - 4*x. Solve -w*r + 10 - 2 = 4*q, 0 = 2*r + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 47. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*1)\/sqrt(6) + sqrt(14))\/(5*sqrt(8)))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y, 0*o - 2*o = 3*y + 5. Suppose 0 = o*j - 2*m + 6 + 69, 4*j + 4*m + 60 = 0. Let g = -8 - j. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*w = -5*s - 1, -5*s + 13 = -4*w. Suppose 4*t + 3*o = -0*o + 6, -2*o - s = t. Solve -t*p + 9 = a, -2*p = p - 3*a + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-4) - (-4)\/(-8). Suppose 0 = -3*j - 4*r + u, 6*j - r = 2*j - 8. What are the prime factors of (-3)\/j - (-4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z = 22*z + 95 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002102300 - -21222?\nAnswer: 1002130122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5250 - 5248. What is the fourth biggest value in 1, u, -3\/7, 105?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32534, -64830, -97126?\nAnswer: -129422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29373348 and 1644.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/11 in 4, 10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -17*r**3 - 9*r**2 + 9. Let w(b) = 4 + b**2 + b**2 + 0*b**3 - 6 + 4*b**3. Calculate -2*p(z) - 9*w(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let q(p) = -69*p - 92. Let r(x) = 13*x + 3. Let z(l) = -21*l - 5. Let n(h) = 8*r(h) + 5*z(h). Let w(g) = -92*n(g) + q(g). Give w(s(o)).\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8038 or -499?\nAnswer: -499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 9497*o - 9495*o - 2*v, 8*o - 4*v + 112 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977*o - 733 = -275*o + 8393 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-358408)\/64 + 1\/8. What is v rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8436 rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2023964 * 0.033\nAnswer: 66790.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10303 (base 4) to base 12.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100240 (base 5) in base 3?\nAnswer: 221211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 - 0.08. Let r be (-6)\/15*(-1)\/(-2). Which is the closest to 0.1? (a) x (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i - 3 - 3 + 0 - i**2. Suppose 14 = w + 4. Calculate the remainder when u(8) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124.2 + 114. Let f = c + 10.006. Round f to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17204 - -17238. What is the remainder when 704 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 21. Let d be (15\/s)\/(3\/(-15)). Let b(a) = -a + 1. Let q(v) = -2*v + 1. Calculate d*q(z) + 5*b(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11222 or -11349?\nAnswer: -11349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -8. Let c = 42 + -72.5. Let t = c - -31. Sort 2, t, r in ascending order.\nAnswer: r, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 27 - (4 - 1)) + 8\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 771003*l**2 - 10703800*l - 2?\nAnswer: 1542006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 - a**2 + 0*a**2. Let j(y) = y + 2. Let z be j(3). Let w(p) = 3*p - z*p**2 + 6*p**2 - 3*p. Give w(g(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 8:24 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*g + 14*g - 63574. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488\/28 - (-1200)\/2100\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/52 + 0\/(-1). Let x = -7\/52 + u. Suppose 0 = -2*a - 4*a. Put 4\/3, a, x in decreasing order.\nAnswer: 4\/3, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -542330210?\nAnswer: 542330215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.1329 litres to millilitres.\nAnswer: 58132.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x - 8 = 34 + 25 + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4577519 rounded to the nearest ten thousand?\nAnswer: -4580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 10*t + 2800.\nAnswer: -2*(t - 40)*(t + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 7325 = -62731. Is s a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1097*l + 1106*l + 7824 - 7824.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 255\/13?\nAnswer: 255\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 30 = 4*d, -r = -d - 2*r + 9. Let q = d + -10. Suppose -m + 49*m + 240 = 0. Which is the nearest to 1? (a) 3 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 20, -p + 8819 = 2*b + b. Suppose 3*i - b = 2*o, 3*o + 2*o = -4*i + 3902. Suppose m = -a - 3*a + i, -5*a = 3*m - 2941. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2635 (b) 5\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(2156) - sqrt(2156)) + sqrt(2156))*1 - 5*(sqrt(2156) + sqrt(2156)*1 - sqrt(2156)))\/(-3*2*sqrt(36)*2).\nAnswer: 7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436 + 649. List the prime factors of z.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147564 is divided by 3353.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8236 * 8\nAnswer: -65888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37613111.\nAnswer: 241, 156071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/(-10))\/(-2 - 98\/(-70)) - -2656 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12 = 0, 3*q = -812*x + 814*x + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2429 - 7282\/3. Let m = -1 - -4\/5. What is the biggest value in -0.4, 0.3, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-12) - 1\/2. Suppose 11 = 3*x - 5*p - 16, 0 = 5*x + 2*p - 14. Let v(z) = -z**2 + 6*z - 3. Let o be v(5). Put o, u, x in descending order.\nAnswer: x, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 256*v - 14 - 256*v.\nAnswer: -3*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/38 + (-174900)\/(-4180)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -319*n - 17275. Give k(-55).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10485 (b) 0.03 (c) -0.05 (d) 1\/60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - -4 - (3 + (-7 - 2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/180 - 17*h**5\/45 + 289*h**4\/36 + 30*h**2 + 2. Factor w(g).\nAnswer: 2*g*(g - 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5, -5*l + 4*l + 10 = 2*b. Suppose -1065 = -62*u - 9*u. Solve l*n = -5*n + u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0444439763 rounded to four decimal places?\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6836 - -6887. What is the greatest common factor of 75 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182461686439 - 2476.\nAnswer: -182461688915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 245520.\nAnswer: 245520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001011110010101101101 (base 2) to base 13.\nAnswer: -1a83128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 57 = 56. Suppose -4*q + 11 = 3. Sort z, 0, q.\nAnswer: z, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 10.95104um?\nAnswer: 0.00000001095104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let b(p) be the second derivative of -11*p**4\/12 - p - 167. Give u(b(t)).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212.5 - -232.5. Let p = -230 - -210.05. Let n = p + t. Is n < -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - (-24 + 31 - 39).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 17*w = -2611. Suppose -28*y + 551 = -w. Let l = -5 - -65. What is the smallest common multiple of l and y?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117 = r + 5*n + 1377, 33*n = -4*r + 34*n + 73 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -11\/4*i**4 - 1\/2*i**2 + 0*i**3 - 1 + i. Give b(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 1.2. Let r = 8 - 11. Let o = r + v. What is the closest to 0 in o, -0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3383 + 6106. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14374.\nAnswer: 2, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6833391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2905*b**2*h**4*x + b**2*h*x - 547*b**2*h + 3*b**2*x + 2*b*h**2 - 14*h**3*x + 4*h*x wrt h?\nAnswer: -69720*b**2*h*x - 84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*u + 1216095 = -1527961. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.47 (b) -0.08 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2509 = 3*v + 8656. Let p = 2902 + v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3056340 and 65711310?\nAnswer: 131422620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n + 18*n + 7*n - 52*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 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 l(t) = -126*t**3 + 254*t**2 - t + 1. What is l(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -178887 (base 15) in base 5?\nAnswer: -243031202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (1 - 8 - 216\/(108\/4)). Solve -2*a + 17 - 8 = -t, a + y = -4*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**8\/560 - r**7\/175 + r**5\/50 + r**4\/40 + 3*r**2. Solve w(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:55 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2376 is divided by 379.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {m: 1, e: 3, u: 3, s: 3, a: 1, b: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2257 rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 5*p**2 + p + 7. Let n be w(-5). Let k be (11\/n)\/(2\/12*-3). Which is the nearest to k? (a) -0.5 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29627519, -29627524, -29627529, -29627534, -29627539, -29627544?\n\"Answer: -5*c - 29627514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23558146 plus 2?\nAnswer: -23558144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 1. Let n(x) = -10*x - 3. Let j(r) = 7*i(r) - 2*n(r). Let c be 69\/(-15) - (-6)\/10. Let t be j(c). Sort 0, -2, t in decreasing order.\nAnswer: t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2530 - 1731. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26537351 (base 8) to base 6.\nAnswer: -331244533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-6 + 25\/4)*3938. Let b = -53 - q. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.1, -1\/6, 235.9, -4, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9, 0.08, 0.091?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - 2*s**4 - s**4 + (102*s**2 - 57*s**2 - 56*s**2)*(s + 3*s**2 - s).\nAnswer: -37*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j + 1. Let u(n) = n**3 - 4*n**2. Let b be u(2). Is 11 a factor of p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954575009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24396, -49279, -74162, -99045, -123928?\nAnswer: -148811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 12:38 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (12\/(-4) - 2) + -39\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -663, -2171, -4685, -8205?\nAnswer: -12731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/44*(-1694)\/28\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - (-66)\/14. Suppose 0*w - w - 4*y = -13, 0 = -5*w - v*y + 5. Which is greater: -7\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6\/(w*(w\/(w*w**(-1\/3)*w))\/w)*w**0\/w*(w*(w\/w**(-1\/2)*w)\/w*w*w)\/w assuming w is positive.\nAnswer: w**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*w - 3, 2*g - 4 = -w - 14. Let o = 10 - 6. Suppose -3 = -n + 5*y, 3*y - 9 = -o*n + n. Sort 1, n, w in decreasing order.\nAnswer: n, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46409 by -965.\nAnswer: 46409\/965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2424000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.1 + -15. Let d = -57.4 - -57. Which is the closest to d? (a) y (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*r + 10 = -4*v, -v - 15 = 3*r. Suppose v = 12*k + 27*k + 156. Let c(j) = j**3 + 5*j**2 + 4*j - 3. Give c(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in 2, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 912 - -155. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (3*(0 + sqrt(147)) - (2 + (sqrt(147)*-2 - sqrt(147)))))*-4*5)**2.\nAnswer: 33600*sqrt(3) + 2117200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*h + 44808 = -85*h. What are the prime factors of h?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 36*h**2 - 6*h + 8. Let s be p(2). Suppose 16*i + 116 + s = 0. Is -17 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 390, 0 in increasing order.\nAnswer: 0, 2, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 divided by -6?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 0*n + 4*n**2 - 6*n**2. Let f be r(-2). Let t = 587\/3 + -195. What is the second smallest value in -5, f, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818 is divided by 106.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyeyiyyied. Give prob of sequence dy.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 239*t. Let x(p) be the first derivative of -3*p**2\/2 + 1298. What is v(x(a))?\nAnswer: -717*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-2)*(-15 - -1). Let u be (-17)\/(-34) - (-22)\/(-4). Let j = u + d. Calculate the greatest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/10*3)\/(-12 - (-8380)\/700). Solve s*d + 93 = -10*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:46 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4314146.\nAnswer: 2, 31, 149, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.65? (a) -9 (b) 1 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t - 6. Suppose -t*g - g = -21. Solve -g*d - 2 = -8*d + 3*m, m + 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n**3 + n**2 + 3*n + 2. Let i be (-1)\/(0 - 63\/(-77) - 4\/(-22)). What is b(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from jyyjkjjkpyyykjyjj.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Suppose -2*c = -3*q - q + 10, 0 = q - c - 1. Suppose d = -4, -72 = -q*n - 3*d - 0. Solve n = t*m + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/7, 62\/3, -8, 0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373544126, -747088251, -1120632376?\nAnswer: -1494176501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.52 - -0.5. Let p = -147354.97999961 + 147355. Let n = h + p. Round n to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 3*b**2 - b + 2. Let u be r(3). What is the greatest common divisor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 c, and 1 y when four letters picked without replacement from {n: 3, y: 5, c: 1, q: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 138*z**3 + 1701*z**2 - 588*z - 32928.\nAnswer: -3*(z - 56)*(z - 4)*(z + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*h + 69. Let k(p) = -p**3 + 8*p**2 + 2*p - 8. Let b be k(h). Let z(v) = 3*v - 25. Let d be z(b). Is d equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/245 - 33\/(-110).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 34. Calculate s(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 16, 105, -1\/7, 2, -1 in descending order.\nAnswer: 105, 16, 3, 2, -1\/7, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.9 - 49. Let j = -5 - g. Which is the second biggest value? (a) -1 (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12998*z. Let v(k) = -k. Give n(v(g)).\nAnswer: 12998*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 129, 134, 141, 150, 161, 174?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9008787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.47 - 0.32. Let m = -0.41 + s. Let y = m - 4.8. Which is the fourth biggest value? (a) y (b) -1\/5 (c) 1 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100101 - -10?\nAnswer: -101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2782918 divided by 7\nAnswer: -2782918\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23522745 + 39882735. Suppose 9*p - 11*p = x - k, 5 = -p. Round x to the nearest one hundred thousand.\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203275005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2652 divided by -6\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2151407, 4302809, 6454211, 8605613, 10757015, 12908417?\n\"Answer: 2151402*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*u + 8. Suppose -2*n + u = w, 19 = 3*n - 0*w + 2*w. Solve n*z - 6*z - 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*f + 13. Find the first derivative of -1 - 1 + 0*u**f + 0*u**2 + u**2 wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41652 divided by 9\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/2 + 11*s**4\/12 - s**3\/6 - s**2. Suppose 40 + 105 = -38*d - 121. Is q(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 2, -3*c = -5*u + 99. Let o = u - 15. Solve 0*k + 3*k - o = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 times 418991?\nAnswer: 138267.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31740818 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (29 - 17 - 25)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -112\/420719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -750 - -584. Is z equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(38)\/(sqrt(2)*-2) + sqrt(19) - (sqrt(19) + -2 + sqrt(19) + -3 + sqrt(19))))*2)**2.\nAnswer: -120*sqrt(19) + 619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7 - (1 + 1)) + (14 - 6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, c: 2, p: 4, x: 9}. What is prob of picking 2 w and 2 x?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 14126235.\nAnswer: -6\/4708745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(4\/7)*r\/(r\/r**(-3)))\/(r**(3\/10)\/(r**(-7)*r)))**13)**(1\/5) assuming r is positive.\nAnswer: r**(-7943\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 0. Let h be (-216)\/16*(-2)\/3. Let x be (12\/(-10))\/(h\/(-30)). What is the highest common factor of l and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/(-429) - 5\/(-55). Let m(h) be the second derivative of 12*h + i + 1\/6*h**3 + 0*h**2. Let f(v) = -27*v**2. Calculate f(m(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 7*v**2 - 53*v\/4 - 13\/2.\nAnswer: -(v + 1)**2*(v + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 605247027 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6\/(-15))\/(((-10179)\/45)\/(-29)*2).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3430 greater than -3429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7085185173.\nAnswer: 3, 11, 131, 546317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/2 - 148*q + 10952 = 0?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -23. Let h = a + 53. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lel when three letters picked without replacement from {l: 11, e: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/(-36)*6\/10. Let t(z) = -z**2 + 2. Let b be t(-2). Let d be b\/(-4) + 9\/(-42). What is the biggest value in w, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5 + 78*p**4 + 1037*p**3 = 0. What is p?\nAnswer: -61, -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 112*j - 1101. Determine p(5).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) - 1\/2. Solve -4*q - 12 = -4*z, b*q + q - 21 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 679 + 2021. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 6*o + 34. Is b(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 7*s = 3. Suppose -s*k - 48 = -4*v, -6*k + 2*k = 4*v - 76. Suppose 4 = -m - v. Which is bigger: -20 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/17 + 7788*n**2\/17 - 3042142*n\/17 + 9056388\/17 = 0.\nAnswer: 3, 437, 3454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*z + 9, -3*w = -z - 0*w + 6. Suppose 2*n = -z*n. Suppose -d - 4*d + 44 = -h, 4*h + 16 = n. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 15519*b - 15521*b - 16 + 7.\nAnswer: -2*b - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7 + 15*v + 0 - v**2 - 5 + 3. Let q be l(14). Suppose -q*d = -10*d + 10. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 6. Let r be g(-8). Suppose 0*p - 2*p + r = 0. Calculate the greatest common factor of p and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08291559 minus 0.5?\nAnswer: -0.58291559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * -4\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*l - 10960 = 251*l. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 10\/15046999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2142493, 2142491, 2142489, 2142487, 2142485?\n\"Answer: -2*s + 2142495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b5 (base 13) in base 16?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -86?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-3 - -6)*1. Solve -3*x = -3*s, -2*s - 3*x - 6 = -v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*(p\/(p**(-9)*p))\/p*p)*p*p*p*p**(-17)\/p*p*(p*p**(2\/3))**(-2\/11) assuming p is positive.\nAnswer: p**(-769\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 8.4 (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -349*u**4\/24 - 5309*u**3\/6 + u**2 - 23*u - 4. What is the derivative of b(o) wrt o?\nAnswer: -349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588 - 1748 - 22*b**2 + 560 + 600.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1943384 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0 - 196. Let o be (-2)\/(-7) + (-4445)\/a. Suppose -86 = -d + 2*l, o = -5*d + 4*l + 527. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828.929mg in kilograms?\nAnswer: 0.000828929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c*k**3 - 5*c*k + 9*c*s**2 - 9*c*s + 6019*k**3*s**2 + 256*k**3 + 5*k**2*s + k + 25*s**2 - s wrt k.\nAnswer: -18*c + 36114*s**2 + 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - o + 8 = o, 12 = 3*u - 5*o. Is 4\/(3\/72*u) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 14*z**2 - 7*z - 29. Calculate v(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -545, -1288, -2329, -3668?\nAnswer: -5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/24 and -101\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.29756 to two dps.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 31. Solve g = 4*j + a + 10, 3*j - 4*a + 17 = -0*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 868, -4, 1, -1 in descending order.\nAnswer: 868, 1, -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 533 and 3731?\nAnswer: 3731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 221*n**3 - 8*n - 58*n**3.\nAnswer: -279*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1354000 and 7.\nAnswer: 9478000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 76*i + 0 + 0)*(2*i - 5*i + i)*(i - 3*i + 4*i).\nAnswer: -304*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 - 80*g**2\/7 - 24656*g + 32751744\/7.\nAnswer: (g - 268)**2*(g + 456)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1130600631 rounded to three dps?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11321 (base 4) in base 13?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Let d be ((-6)\/(-9))\/(4\/30). Which is bigger: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 62)*(0 - 126\/30). Is o bigger than -251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -159645\nAnswer: -2\/159645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -6, -0.4, 2\/1513, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-33 + 18) - (-27 - 1)) + -3.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - ((1 - -1) + -1). Suppose p + 2 = 0, 4*o = 3*p + c + 8. Suppose -3 = -i + o. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 24360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204.944155*-0.5.\nAnswer: 102.4720775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-1 + -3 - 0). Suppose p*h = 5*h + 2*m - 9, -4*m = -2*h + 6. Solve h = 3*f, -5*d - 4*f - 5 + 34 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 52*z**2 - 160*z.\nAnswer: -4*z*(z + 5)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 321632.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 15. Let l be (-1)\/4*(1 + h). What is the closest to l in 1, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 225242017?\nAnswer: -225242017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169 - -171. Solve -2*w + 14 = l*y, -4 = 8*w - 4*w - 4*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x - 4*z, -2*z + 3 = 3*x. Let y(v) = -2*v**2 + 6*v + 2. Let h be y(x). Solve -h = -n - 3*d, 3*n - 6 = d - 6*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 236 + -235. Let v(o) = 43*o**3 + 2*o**2 - o. Determine v(b).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 12 = -4*z. Suppose -16 = z*u + u. Let d be (u\/(-7))\/((-4)\/(-14)). Solve -d*i = 2*q - 12, 2*i + 5*q = -0*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805118 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -32*x + 15. Suppose -4*b - 8 = x*l + 53, 48 = -2*b + 2*l. Is b at least as big as -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -2) + -1 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 6. Let g = 18 + -10. Let s be r(g). Is 3 + (s - -2 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576966474 is divided by 1075?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.977\nAnswer: -0.3908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 7*r - 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.8 - 46. Is v at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(128)*-1 + 4 - (sqrt(128)*-2 + -1)**2))*5.\nAnswer: -2565 - 200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -4, -3.\nAnswer: -7, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 6 + 1)*(702*r + 202*r**4 - 702*r).\nAnswer: 4646*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/(-5*21\/3045).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 2*h - 3*h + (1 + 0 + 0)*(-h - 5*h + 4*h) + (7 - 9 - 3)*(-16*h + 4*h + 4*h) in the form w*h + q and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 243 (b) -2\/3823 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 24 = 16*m - 11*m, -5*m + 5*j = -25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -250 in decreasing order.\nAnswer: 5, -4, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -21 + -4 - -30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 106*-9\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*t - 42 + 419 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4158398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116919.\nAnswer: 3, 11, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.168 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3726 divided by 27\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 - 247. What is the first derivative of 23*g**3 + r*g**3 - 26 - 16 - 45 wrt g?\nAnswer: 99*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 104?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r - 52. What is the units digit of p(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 5*u**2 + 4*u + 6. What is r(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26690 divided by 17.\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133123 (base 4) in base 14?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2348 - 82254\/35. Let g = -14\/23 - 183\/115. Find the common denominator of c and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -13 - 19. Does 2 divide (4 + -3)\/(1\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 36*t**2 - 186*t - 780. Give h(41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17121 + 17121.0026256. Round p to 5 decimal places.\nAnswer: 0.00263","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024659.\nAnswer: 7, 13, 19, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 37489*k + 37489*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - 115. Factor 4\/3*x**3 - 2\/3*x**4 - 2\/3*x**k - 2\/3 + 4\/3*x**2 - 2\/3*x.\nAnswer: -2*(x - 1)**2*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105254429?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1 - 2*l + 0 - l**3 - 2*l**2 + 0. Suppose 0 = -6*c + 30. What is the least common multiple of v(-2) and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let n(j) be the second derivative of j**6\/720 - j**4\/12 - j. Let h(u) be the third derivative of n(u). Calculate h(x(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/20 - b**4\/6 - b**3\/6 + 3*b**2\/2 + 1533*b. What is s(5)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185 - 184. Let q be (w\/((-10)\/44))\/((-8)\/10). Which is smaller: 6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -3*i**2 - 6*i + 2. Let l(g) = -10*g - 19. Let q(d) = 91*d + 169. Let n(w) = -26*l(w) - 3*q(w). Determine -9*c(j) + 4*n(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(3069\/66) + ((-4)\/2 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62147\/27 + -2301. Let f = h - -271\/108. What is the common denominator of f and 47\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*w + 1167*w - 11697 - 12065 + 2634 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -22.84. Let h = k + -0.5. Let m = h + 5.34. What is the closest to 0 in 1, -1\/3, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18622780 and 1188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 - 15 = 0. Let s(l) = -l**3 - 6*l**2 - 6*l - 5. Let d be s(-5). Let j = d + f. Which is the third biggest value? (a) -5 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 6 - (13 + -20) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1414532 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d*d**(1\/18)))\/(d*d**(-1\/5)*d) assuming d is positive.\nAnswer: d**(-347\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 33*f**3 - 28*f**2. Let w(m) = 33*m**3 - 29*m**2. Let y(n) = 5*h(n) - 6*w(n). What is the third derivative of y(v) wrt v?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-31148)\/(-30) - 12\/20. Let f = t - 1052. Calculate the common denominator of f and (-2)\/5 + 121\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j**3 + 2650*j**2 + 881798*j + 18. Let g(q) = -40*q**3 - 7951*q**2 - 2645393*q - 51. Let z(i) = -6*g(i) - 17*p(i). Suppose z(d) = 0. Calculate d.\nAnswer: -664, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 20*i + 54 = 0. Which is the biggest value? (a) -2\/5 (b) 4\/7 (c) i (d) 7 (e) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -618361, -618777, -619193, -619609, -620025, -620441?\n\"Answer: -416*l - 617945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 - -147.9. Sort r, -1, 46, 5\/3.\nAnswer: -1, r, 5\/3, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*y - 1 + 534*y + 1.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Let a(b) = -5 - 1 + i - b**2. Let y = 73 - 75. Give a(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0.2. Let j = t + 0.3. Let x be (-32)\/(-280) - 2\/(-7). Which is the nearest to j? (a) x (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19588901+0.01\nAnswer: -0.18588901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1081828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b + 4. Let c(f) be the first derivative of -5*f**2\/2 - 3*f + 71. What is 5*c(d) + 4*o(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 3272*f + 62509. Calculate w(-19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 969537 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26209 is divided by 1082?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 45, 1 in descending order.\nAnswer: 45, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1061\/18 + -60. Find the common denominator of t and -31\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2 - 2)\/((-3)\/6). What is the first derivative of -17*x**q + 4 + 0 + 10 wrt x?\nAnswer: -51*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**5\/20 - 2*z**4\/3 - z**3\/6 - 5*z**2\/2 - 4*z. Let k be q(-8). Solve k*t = 3*f, t = 4*f - 2*t + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 50*s**2 + 312*s + 1088\/3.\nAnswer: 2*(s - 68)*(s - 8)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5757*k - 73. Is o(-1) a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-25) - (-8)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 0, 0 = y + j - 2*j. Suppose y = 2*a - 4*a + 6. Is 2 a factor of a - (-3 + 2)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 + 5)\/3)\/(15\/75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 2113772. Let b(s) = s**2. Calculate d(b(o)).\nAnswer: o**2 + 2113772","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*39149\nAnswer: -3914.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83848123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -387 + 930. List the prime factors of r.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r. Let u(x) = 150150*x**2. Calculate q(u(a)).\nAnswer: 900900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-5) + (648\/(-30))\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2 + 26*w + 16. Suppose -j + 2 = -2*j. Let i be ((-6)\/j + -6)\/1. Let d(b) = b**2 + 5*b + 3. Determine i*y(m) + 16*d(m).\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 5*g + 5*g**2 + g**3 + 2 + 2*g**2. Let i be z(-6). Suppose -2*r + 8 = -2*f - 22, -3*r + i*f = -41. Calculate the least common multiple of r and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 207283 - 11354?\nAnswer: 185828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + ((-6*sqrt(225))\/(sqrt(45)*-1 - sqrt(45)) - (((sqrt(200) - sqrt(200)*1) + sqrt(200))*1)\/sqrt(10))).\nAnswer: -12 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 324\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.07, 1\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 - -2) - (1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11211.\nAnswer: 3, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 10, 4, -4, -94, 1 in decreasing order.\nAnswer: 21, 10, 4, 1, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5475 divided by -2\nAnswer: 5475\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -6*y + 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 - 48 + 183 = 56*v. Calculate the greatest common divisor of v and 1905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 1. Let w(c) = -2*c. Let g(k) = 3*o(k) + 5*w(k). Let r be g(-7). Let x = r + 1. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796 = 2*a - 6*a. Let i = a + -98. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - a = -2 + 1, 10 = -5*a. List the prime factors of (z\/(-2))\/(2\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4 - 4 + 5*w**2 + 4*w + w**3 + 0. Let v be q(-4). Let z = -2 + -2. What is the third smallest value in 0.5, v, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1 - 2 - r**3 - r - 4*r**2 + 5*r. Let k be z(-5). Suppose k*y - 3*y + 30 = 0. What is the highest common factor of 12 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 39*w - 160. Let t(m) = -9*m - 1. Let g(s) = -c(s) - 4*t(s). What is the remainder when g(25) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyyyeyyyoyyyyoy. What is prob of sequence eoy?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/(((s\/s**(-1\/17))\/s)\/s)))\/s)\/s)\/s**(-11))\/(s**3*s)**(1\/4) assuming s is positive.\nAnswer: s**(120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = -15. Let x(v) = -v + 18. Let p be x(0). Suppose 3*l - 5*z = 34, 0 = -l - 5*z + p. Solve f*h + 4 - l = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10091, -40347, -90801, -161477, -252399, -363591, -495077?\n\"Answer: -4*i**3 - 10075*i**2 - 3*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 16571*g**2 - 123*g + 2910. Let b be o(18). Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:39 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 299 = -2*j. Suppose -j - 170 = -5*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 9. Let v(h) be the first derivative of -h**2\/2 + 5*h + 28. Give 3*b(q) + 5*v(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/75)\/((-18)\/(-30))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1393983 divided by 51?\nAnswer: -27333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42202 (base 7) to base 4.\nAnswer: -2202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -78*a + 1170. What is y(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*c = -65*c + 105. Let z = c + 207. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8852248343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 310952*g - 2176566 = 0 for g.\nAnswer: 7, 155469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 101. Let s = w + 88.9. Let n = 1.1 + s. Which is the second smallest value? (a) n (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*g + 792 = 27*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*x + 32 = 0, -2*z + 5*x + 27 = -8. Calculate the remainder when (-2 - (3 - 9)) + 19 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.066 + 0.0657323. Round u to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0403383959 rounded to 6 decimal places?\nAnswer: -0.040338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 178\/70 - 23\/4508*28?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899825360.\nAnswer: 2, 5, 7, 41, 39191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -4*q**7\/175 + 17*q**6\/100 - 2*q**5\/5 + q**4\/5 + 19*q**2. Factor z(t).\nAnswer: -6*t*(t - 2)**2*(4*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(3\/14)*y\/(y*y\/(y*y**(-28))*y*y)*y)**(11\/3))**(-43) assuming y is positive.\nAnswer: y**(186835\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -184 + 185. Suppose -w = w. Which is the second smallest value? (a) -5 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**4 + 2100*n**3 - 2130*n**2 - 10540*n - 6315 = 0. Calculate n.\nAnswer: -421, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14280323 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 - -4) - (12 + 5 + -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 6*g**2 - 2*g. Let w be h(-6). Let r be (8\/w)\/(20\/(-12)). Is r at most 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 2*s**2 - 1. Let o be n(2). Let h = o - -2. Is (h\/2)\/(2\/64) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, and 1 b when three letters picked without replacement from bjuml.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 + -1284\/7. Let v be (413\/2655)\/((-14)\/12). Which is the closest to 0? (a) v (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230053 (base 6) to base 3\nAnswer: -222201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-660)*(2\/(-12))\/((-7)\/(-56))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0\/((-4 - -5)*1))\/1 - -8012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1473 - 31 = 2*p. Let f = -236 + p. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 268690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 145160000 to the nearest 1000000.\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*3\/(-21) - (-1063107)\/133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddd. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 k when four letters picked without replacement from {k: 5, r: 4, o: 6, h: 1, p: 3, x: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(3 + 302\/(-100)). Suppose 2*a + 3*w = 37, 1 = -3*w + 10. What is the remainder when 402\/10 + 10\/s is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 1, d: 2}. What is prob of picking 1 w and 2 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 74 - 55 = 0. Let s = l + -39. Solve 3*c + 2*i = 8, -13 = -s*c - 2*i - 3*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 292.952 decades?\nAnswer: 35154.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from avazaavvvzvzvv.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -105622.6 rounded to the nearest one thousand?\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2022111?\nAnswer: 2022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(304)*-2 - sqrt(304))**2 + 4).\nAnswer: -5480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**5 - 2*s**4*w - 4*s**3 - 689*s*w - 2*w + 2 wrt s.\nAnswer: 120*s**3 - 24*s**2*w - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = 3*t. Suppose 3 = -5*b - 22. Let k = 11 + -6. Sort t, b, k.\nAnswer: b, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/5)\/((a*a\/(a**(-2\/5)\/a)*a)\/(a**(-2\/3)*a)))**44)**(-1\/5) assuming a is positive.\nAnswer: a**(2288\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort 676, -1\/7, 1 in descending order.\nAnswer: 676, 1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2436 times -85\nAnswer: 207060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252 - -148. Let w = 281 + j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102022111 - 10201110?\nAnswer: 21121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 302004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 32*w - 69230. Let l = w + -1299. Is l a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -5*p - 19, -1409*p + 12 = -4*w - 1413*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39\/2*i**4 + 0 + 142*i**2 + 204*i - 1\/2*i**5 - 81*i**3 = 0.\nAnswer: -34, -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 30*t**2 + 26*t + 41. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3450\/(-225) - 1*-16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2356227*w**4 - 114*w**3 - 2873*w**2 + 16285 + 2356226*w**4 + 8915 + 22440*w = 0.\nAnswer: -60, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168445864.\nAnswer: 2, 21055733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, c: 6, k: 1, b: 1}. What is prob of picking 2 h and 2 c?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14824*f + 4684383. Determine b(316).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, s: 4, h: 2}. What is prob of picking 2 d?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(2 - (-3 + 6)). Suppose -21 = 5*c + p. Sort c, 3, 4.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7406.32822 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 72, 168, 302, 474, 684, 932?\n\"Answer: 19*j**2 + j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 3?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.451 - 16.799. What is l rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*s + 1 + 44 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.4 and 2684906596101.\nAnswer: 2684906596098.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 604*o - 2*o**2 - 5*o**2 + 3*o**2 - 594*o - o**2 in the form z + w*o + p*o**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 191 = -l, -2*l - 248 = -4*f - 4*l. Let j = f - 31. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 3. Let a(v) = 1. Let z(x) = 4. Suppose -5*u = -5 - 0, -2*u = 2*f. Let p(r) = f*z(r) + 3*a(r). Give -2*m(y) - 6*p(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5264, 11324, 17384, 23444?\n\"Answer: 6060*y - 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044856961 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + o**3 - 3*o**3 + (3*o + 4*o - 5*o)*(-2*o + 2*o + o**2))*(-10632*o + 10632*o + 536*o**2).\nAnswer: -1072*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 10*s + 17*s - 2*s**2 + 237 - 2*s.\nAnswer: -2*s**2 - 3*s + 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 3, d: 2, y: 2, w: 2, z: 2}. Give prob of picking 1 z, 1 d, and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 606. Let b(z) = -13*z + 2449. Determine 2*b(a) + 9*s(a).\nAnswer: a - 556","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.271 - -0.229. Suppose 5*m - 562 = 3*j - 8, -j = -5*m + 558. Let d be (m\/30)\/2 - 2. Which is the biggest value? (a) -1\/6 (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) -6 (c) 3\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44113834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*h + 11. Let m(o) = o**2 - 11*o - 27. Let s be m(12). Let a(y) = 7*y + 108. Let p be a(s). Solve p*t + h = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2043560238 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**2 - 56*q - 51. Let y(i) = -i**2 + 11*i + 10. Let u(b) = -2*o(b) - 11*y(b). Let j be u(-6). Calculate the highest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -52. Solve -17 = -5*z + r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -35267548?\nAnswer: -35267548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -321, 0.5, 2.7, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/503 + 986\/2515. Which is the second smallest value? (a) -1.8 (b) h (c) 0.3 (d) -1\/5 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*t**3 - t**2 + 7*t**2 - 2*t**2 - 4*t**2.\nAnswer: -778*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-8 - 22) - (-7 + (-16 - -44))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18010 is divided by 15866?\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 16 = b + 5, g - 5*b - 2 = 0. Suppose 4*w - 15 = -w. Put 2, g, w in descending order.\nAnswer: w, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295349, -295343, -295347, -295367, -295409, -295479?\nAnswer: -295583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -447 + 626. Let n = -167 + j. Put -1\/2, 1, n in decreasing order.\nAnswer: n, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110110 - 110110101011?\nAnswer: -101101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 - -54?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*h - 14 - 204 + 26*h + 323*h**3 wrt h?\nAnswer: 969*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2871 and 1\/5742.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35950870 to the power of 1\/2, to the nearest integer?\nAnswer: 5996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrcr. What is prob of picking 2 r and 2 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 152\/(-114)*(-14)\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 u, and 1 v when four letters picked without replacement from vuggueggevggggeugee.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 28 = -3*i - 10, -4*w + 106 = -5*i. Let z be w + 0*(-3)\/(-9). What are the prime factors of ((-7)\/(-4))\/(3\/z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + q - 100 = -5, -2*h = 3*q + 21. Let a = h + 43. Suppose 5*g + 4*s - a = 0, -2*s = -5*g + g - 6. What is the nearest to g in 3, 2\/13, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 7:46 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sffouommmfofmufoom. Give prob of picking 1 s, 1 o, and 2 u.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23510 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z - 12 - 3*z + z - 23. Is 10 a factor of l(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1345 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3304182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 2*j - 12)*(j**2 - 3*j**2 + 10*j - 3*j + 1) + 1 + 2*j - 10*j**3 - 1 to h*j**3 + s*j**2 + y + i*j and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -5*f + 105. What is the hundreds digit of ((-3135)\/(-6) + f)*4\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 20. What is the third smallest value in 0.2, m, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 12 - 0. Suppose 0 + 12 = o*i. Suppose -14000000 = -i*j - j. What is j rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 1\/2 (c) 0.2 (d) 1\/48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 1. Let j be n(2). Suppose -20 = -5*r, r - 4*r = 4*h. Let q be 1\/((-3)\/(-136)) - (-1)\/h. Calculate the greatest common divisor of q and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 366 = 678. Let z = -50 + 95. What is the highest common divisor of z and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 + 3013 = 5*s. Calculate the highest common factor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (453\/906)\/(213\/(-12))\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/423 and 25\/2322.\nAnswer: 109134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3545788 to the power of 1\/2, to the nearest integer?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/28*(-287)\/(-82)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:19 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -23090*l - 28. Determine j(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 12. Let r be y(-10). Let i(p) = 3*p + 7. Let g be i(r). Calculate the greatest common divisor of g and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 38. Let q(x) = 29*x**2 + x. Give t(q(i)).\nAnswer: -29*i**2 - i - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 5*r**2 + r**2. Let w(j) be the first derivative of 0*j**2 - 1 - 2\/3*j**3 + 0*j. What is w(s(m))?\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 2*s + 0*s + s**2 + 18*s**3 as r*s + v*s**3 + l + i*s**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3188 and 3924431188?\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 8. Let u be l(11). Calculate the greatest common divisor of u and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.5. Let m be ((-10)\/(-15))\/(16 - (-116)\/(-6)). Which is the second smallest value? (a) i (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 38771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*o + 356 = 0, -6*h - 667 = -3*o + 2*o. Let t be h\/(-24)*1\/88*-3. Are t and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.059 != 1064.34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 21*f**2 + 11*f - 10. Let w be k(10). What is the hundreds digit of -5*394\/(-10) + (w - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 m, and 1 f when four letters picked without replacement from {f: 3, z: 3, x: 5, m: 2}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.4, -0.3, -69 in descending order.\nAnswer: 0.2, -0.3, -0.4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 = -17, 3*v = 3*o + 6. Suppose -z + 8 = 5*c, -3*c + 1 + v = -z. What is the derivative of 4 - x**3 + 12*x**3 + c wrt x?\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7544946 - -458918?\nAnswer: -7086028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10 - 29 = -l, t = -l + 9. Let u(m) = 23*m - 1. Let q be u(l). List the prime factors of (q\/14)\/((-2)\/(-4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**3*r + 1170*i**2*r**2 - 4*r**2 + 1497 wrt i?\nAnswer: -9*i**2*r + 2340*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*o + o**2 + 2*o**6 + 35*o wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-56 - (24 - 67))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/3, 1.7, -8, 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -9 - 2 - (-40 + 39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 16 = -h, -h - 6*l + 2*l = -6. Solve 3*i = 3*r + 18, 16*r - h*r - i = -7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 383*j**6\/120 + j**5\/20 - 5*j**4\/24 - 2*j**3\/3 + j**2 + 404*j. What is the second derivative of z(u) wrt u?\nAnswer: 2298*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-4)\/72*3\/(-126)*-6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 366096 divided by -45762\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9968 is divided by 4622?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -85866915 divided by 5050995\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, 0.4, 7, 0.023?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 5*h**2\/2 + 6*h - 69. Suppose 0 = l - 3*l + 12. List the prime factors of n(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 362? (a) 3 (b) 14 (c) 0 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4006.6 + 4694. What is t rounded to the nearest 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35685.\nAnswer: 3, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -9. Let k be ((-1)\/4)\/(8\/32). Let h = k - z. Sort -5, h, 2 in decreasing order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -18460*r - 110757. Determine y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.252959641 from -239.471.\nAnswer: -240.723959641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 15. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 10. Let o(k) = -k + 9. Let c(n) = -2*n + 9. Let d(r) = h*o(r) + 2*c(r). Suppose -6*f - 16 = 8. Determine d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2 + 442*d - 2619?\nAnswer: 2*d + 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 43446 = 4*q, 32*b = 37*b - 5*q - 108675. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10642.2 + -10642. Let r = -4.3 + 4. What is the fourth biggest value in 3\/5, m, r, 5\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - 5*p**2 - 50*p + 45. Let g(k) = -k**3 + 3*k**2 + 25*k - 22. Let i(w) = -3*f(w) - 7*g(w). What are the prime factors of i(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 551465775, 551465777, 551465781, 551465787, 551465795, 551465805?\n\"Answer: x**2 - x + 551465775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -184 times -4\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83669, 83563, 83457, 83351, 83245, 83139?\n\"Answer: -106*i + 83775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:58 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -122*j**3 + 70*j**2 + 2969. Let l(p) = 25*p**3 - 14*p**2 - 594. Let x(s) = 11*l(s) + 2*n(s). Differentiate x(b) with respect to b.\nAnswer: 93*b**2 - 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020 + -12201210?\nAnswer: -12211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**2 - 9*q**2 - 12 + 6*q**2.\nAnswer: -15*q**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8 = 4*g, -g = 3*y - 3*g - 1. Let l be y - (-9)\/(45\/10). Solve 4*w - l = 5*q, 5*w = q + 17 - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*d - 303*d - 328*d)*(-1 - 3 + 1) as c + y*d and give y.\nAnswer: 1809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/21)\/(18\/(-63)). Let x(c) = -c**w - 3 - c - 1 + 3. Let g(q) = -5*q**2 - 4*q - 3. Calculate g(o) - 3*x(o).\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*c = -2*j + 17, 0 = -3*j + 5*c + 49. Suppose 0 = 5*z - j*u + 9*u - 2647, -z + 533 = 2*u. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -415 + 804. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from eababab.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206786, -413547, -620272, -826943, -1033542, -1240051?\nAnswer: -1446452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - -8. Let v = 31 - u. Solve 2*r = -3*w - 10 - 6, w = 2*r + v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(224))\/sqrt(4))\/((sqrt(8) - 6*sqrt(16)\/sqrt(2)) + sqrt(8)) + 5*(5 + (-2 + sqrt(700))**2).\nAnswer: -401*sqrt(7)\/2 + 3545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2573 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 2, 630314\/5 in decreasing order.\nAnswer: 630314\/5, 2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*f**3 + 4*f - 7*f + 273*f**3 + 0*f.\nAnswer: -f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13951251?\nAnswer: 3, 516713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -568 (b) -1.3856 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 117205.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 2, -457?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -13*s**6\/40 - s**5\/60 + 52*s**3 + 70*s**2. Differentiate c(p) with respect to p.\nAnswer: -117*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f - 26360 = -38*f. Let k = 39607 + f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1684781, 1684791, 1684811, 1684847, 1684905, 1684991, 1685111, 1685271?\n\"Answer: c**3 - c**2 + 6*c + 1684775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 + 15*j**2 - 22*j + 26. Let k(d) = d**3 + 5*d**2 - 8*d + 9. Let u(p) = 17*k(p) - 6*l(p). Suppose -10 + 4 = 2*x. Give u(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3433*a**3*t**2 - 18*a**3 + 2*a**2*t**2 + 934*a**2 + 3*t wrt a.\nAnswer: 20598*t**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2768 - -13222. Is ((-18)\/12)\/((-3)\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -c + 2*r - 2, c - 20 = -3*r. Let w = 3457 + -3457. Put 3, w, -4, c in descending order.\nAnswer: c, 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/5 - -54\/35. Let d = -912 - -911. What is the nearest to 12\/11 in 5, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138515\/1784 - -621\/8. Is z > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.015478 + -5825.184522. Round z to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 28, 23, -2, -53, -136, -257, -422?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10\/7 (b) -1.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10385\/(-195238)*-2*4\/(-10).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 12*a**2 + 14*a - 26. Let i be q(13). Suppose i*f - 33 = 314*f. Solve 2*k = f*y + 11, 4*y + 0*y = 5*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(275)\/sqrt(5))\/sqrt(11)) + (1*sqrt(320))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from mummmmommomomuououmo.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123514202 to the nearest integer?\nAnswer: 11114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 25*g + 18 = 28*g, 3*h + 14 = 2*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9558.201mm in centimeters?\nAnswer: 955.8201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/4 - q**4\/12 - 10*q**3\/3 + q**2 - 44*q - 2. What is the units digit of b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 168*l**3 - 12*l**2 + 2*l**2 - 17*l**3 + 19*l**2.\nAnswer: 151*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.034582 - 0.310888. What is v rounded to three dps?\nAnswer: -0.345","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(1100) - sqrt(44)) + sqrt(44))\/sqrt(4)*5)**2.\nAnswer: 6879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*6 + (sqrt(19) - sqrt(114)\/sqrt(6)*6)**2.\nAnswer: 60*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from pxxexexxefdbxpxddxee?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8174780*p + 4087241*p + 4087292*p.\nAnswer: -247*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4325.1 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1\/2)\/(-1))\/((-3)\/(-84)). Let p(u) = -50*u - 46. Is 8 a factor of p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = 0, 3*z - 13 = -2*a - 2*z. Which is smaller: a or -6\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*t - 169822 = -233*t. What is the greatest common divisor of 76 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 9*o**2 + 12*o - 14. Suppose -8*p + 49 = -31. Let r be t(p). Does 5 divide r\/((-24)\/(-20)) + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -72, -119, -190, -291?\n\"Answer: -i**3 - 3*i**2 - 13*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, b: 2, h: 8, v: 1}. What is prob of picking 1 b and 3 h?\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001010000110110010 - 1111?\nAnswer: 1001001010000110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 21*y - 23 as j + h*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50978454\/54745 - -18\/10949. Let f = g - 931. What is the closest to f in -2\/9, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(72) + -5)**2 - ((sqrt(22)*-1)\/sqrt(11) + -1))*1.\nAnswer: -11*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2823492 divided by 6\nAnswer: -470582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**(12\/7)*(a**(1\/2))**37 assuming a is positive.\nAnswer: a**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10420*r**4 - 5*r**2 - 69*r + 309 wrt r.\nAnswer: 125040*r**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0 (b) 8 (c) 0.07 (d) -5 (e) -2\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1414*v + 3836*v - 1319*v - 377933 = -1392*v for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o - 294 = -70 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265895 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21ba76 (base 14) to base 12.\nAnswer: 473460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 + 69*x + 43*x + 41*x + 3 - 194*x - x**3 + 42*x. Let g be 4\/10 - 54\/10. What is k(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 3\/(-1) + 3. Let m = 0.5 + -0.8. Let d = 0.2289 + -0.7289. What is the closest to n in m, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4*(-49)\/(-49))\/(-412*(-5)\/160)\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbsppbssbbppsspsbp. What is prob of sequence bp?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(11) + (sqrt(11) + sqrt(275))*-5)**2 - (sqrt(11)*4 - sqrt(11))*5).\nAnswer: -15*sqrt(11) + 9254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 713 - 712.99. What is the nearest to -1\/4 in 4, d, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/675)\/(1\/(-3)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 62 + 134 + 108 - y**3.\nAnswer: -y**3 + 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77*n - 43 - 36*n - 40*n)*(n**2 + 4*n**3 - n**2) to l*n + d*n**3 + a + s*n**2 + m*n**4 and give d.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t**3 + 27*t**3 + 11*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 2440. Suppose -5*d - 845 = -4*r, -5*r - 3*d + y = -437. Suppose 0 = -5*m - 5*v + r, -m = -0*m + 3*v - 48. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 504*k - 12123. Give p(24).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50280 is divided by 45916.\nAnswer: 4364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16726014 divided by -134?\nAnswer: 124821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 96*k**2 - 8*k + 13. Let j be 0 - -2*(31\/2 - 2). Suppose -j*y + 37*y - 30 = 0. Is p(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2307 or 2308?\nAnswer: 2307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114 or -2?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3961 - 599 = 0. Find w such that -1136*w**2 + l*w**2 - 1 - 4*w + 1 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23983 (base 10) to base 15.\nAnswer: -718d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*l**2 + 1 - l - 10 + 9 + 13*l to i*l**2 + k*l + c and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 4, -5 in descending order.\nAnswer: 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((4\/(-3))\/(6\/54))\/(-16 - -12). Solve -v*g + g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/20 and ((-89)\/(-1602))\/((-23)\/133).\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 52.896, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/210)\/(2\/((-28)\/1)). Solve 3*z - l*q + 4 = -9*q, 0 = 3*z - 3*q - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**8\/5040 + a**7\/180 - 8*a**5\/15 + 24*a**2. Let w(v) be the third derivative of k(v). Factor w(i).\nAnswer: 4*i*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1505 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.2 (c) -3\/4 (d) -0.09 (e) -2 (f) -21386 (g) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:34 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -3*h. Let r = -220 - 106. Calculate the remainder when (-8)\/(-44) - r\/22 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -279, -5 in ascending order.\nAnswer: -279, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5659230 and 18.\nAnswer: 16977690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 120 = -3*h. Suppose -7*s + h = -15*s. What is the closest to 0 in s, 4\/9, -7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 72 = 6*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 19 = -79 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/70 + (-3)\/5)\/(15327\/(-1170) - -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 + 6. What is h(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3 - -3 - (-6 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15714190 to the nearest integer?\nAnswer: 3964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 681*w - 671*w = 730. Calculate the remainder when w is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-25 - -3)*1). Let v = 0.23 - -0.07. Let x = -0.4 + 0.6. What is the closest to -0.1 in o, x, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-14) + 46\/(-4). Let j = -9 - o. Let t(n) = j*n**2 - 7*n**2 + 3*n**2 - 2 + 3*n. Calculate t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 198 = 22*d. Calculate the remainder when 921 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*c - 11, 2*c = c + 5. Let x = -3 - -3. Suppose 40 = -x*q + 4*q. What is the remainder when m is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q**2 - 13*q + 26. Let k be a(0). What is the highest common factor of k and 28691?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886191283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0910187238 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -34, -70, -132, -226?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148137450.\nAnswer: 2, 3, 5, 419, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137726 or 135997?\nAnswer: 137726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 565 divided by 6\nAnswer: 565\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:13 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-9))\/t**(-1))\/(((t\/(t*t**(2\/5)))\/t)\/(t*t**0)) assuming t is positive.\nAnswer: t**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7957980 is divided by 1843?\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5*w + 15*j**4 + 7*j**3*w + 4*j**2*w + 69*j*w + 2*w wrt j?\nAnswer: -120*j**2*w + 360*j + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 9435108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1333 divided by -167\nAnswer: 1333\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04107904 to three decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, 1, -4 in ascending order.\nAnswer: -4, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -608 + 612. Let y(j) = 199*j + 156. Let w(p) = 201*p + 157. Let x(n) = k*w(n) - 3*y(n). What is the derivative of x(b) wrt b?\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -42. Suppose q + i - m = 0, -6*i = 4*q - i - 74. Let r = q + -7. Solve p + 3*s = -r, -2*p + 4*s + 19 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 38*q - 3431. Let n be j(0). Which is greater: n or -3432?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 245 - 245 - 306*m**2. Let b(p) = -2*p. Determine v(b(i)).\nAnswer: -1224*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2118.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n = 455 - 6695. Which is smaller: -188 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 30*v = -15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.439 and 22.\nAnswer: 229.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1739986 and 0.3.\nAnswer: 1739986.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 9225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-10) + (-6)\/(-12). What is the closest to o in 2\/9, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.97 + 9.47. Which is the biggest value? (a) f (b) 87 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12264280 less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*q + 2698 - 887 - 57*q - 910 - 901.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*h - 1040 = 0, -299 + 50 = -p + 2*h. Calculate the remainder when 2050 is divided by p.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167798*d - 3135 = -168294*d + 833 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 98*f + 3104. Give u(-32).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y**3 + 5*y**2 + 6*y - 15. Let w(j) = -20*j**2 + 38*j**2 + 15 + j**3 + 5*j**3 - 41*j + 36*j - 22*j**2. Give -4*q(z) - 5*w(z).\nAnswer: -2*z**3 + z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5179 - 2683. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2594*i - 3732*i + 30726 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 20, -2*z - 24 - 21 = a. Let s = -34 - a. Does 4 divide (-12)\/(-5)*s*15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4202118, -16808490, -37819118, -67234008, -105053166, -151276598?\n\"Answer: -n**3 - 4202122*n**2 + n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -347235 and -347235 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + ((4 - 7) + 4 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 44*y**2 + 27*y - 18. Give q(-3).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 15. Calculate u(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:54 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 7*f - 11. Let x be h(7). What are the prime factors of x\/2*1\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 11*c**2 - 79171*c + 79175*c.\nAnswer: 7*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665 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: 25890 divided by 6\nAnswer: 4315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 153333907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/264*2*1*(-6)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3770*p + 251192 - 74002 = 0 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**4\/4 - b**3\/3 + b**2\/2 + 22*b - 1. Let n be f(0). What is the highest common divisor of n and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.006 (c) 104 (d) -4 (e) -7\/6 (f) 0.1 (g) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 67\/3 and -28\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-1)\/2*(-8010)\/135?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -18*z**5\/5 + 29*z**4\/2 + 1298*z**3\/3 - 563. What is the third derivative of l(x) wrt x?\nAnswer: -432*x + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 6*y + 7. Let n be u(-5). Factor -n*v + 3*v + 4*v**2 - 5*v**2.\nAnswer: -v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (23 - 12) + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-47)\/15 - (-2 + 1). Let p = -9\/5 - w. Which is the closest to 2? (a) -2 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Let v(x) = -8*x**2. Let c(s) = -2*s**2. Let u be 0 + (-2)\/3*3. Let f = 4 + u. Let r(l) = f*v(l) - 10*c(l). Calculate r(t(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/12 and 65\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51531072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f**2. Let q(k) = -2*k. Let s(u) be the second derivative of -u**3\/6 - 4*u. Let y(g) = 2*q(g) - 5*s(g). Calculate b(y(h)).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 z when four letters picked without replacement from zzzzzffzzzz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2406675732.\nAnswer: 2, 3, 11113, 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*j + 180037 = 1175*j + 89*j + 53533 for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2316 - 2316. Solve k = 4*c + 4*d + 22 - 10, -5*c + 5*d - 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1925881*x**3 + 8 - 1925906*x**3 - 8.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 6*m + 4. Let c = -5 + 9. Let j be u(c). Let r be j\/14 - 69999996\/14. Round r to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(3*i + 0*i - i) + 14*i + 4*i - 5*i + (-7 + 6 - 9)*(4*i - i - 2*i) - 3*i + 4*i - 2*i)*(1 - i - 1).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2227997*j - 18. Let f be c(6). Round f to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - 1.5. Let i = 694\/11 - 63. Which is the smallest value? (a) -5 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 + 4*t - 5. Let g be j(-5). Let z(u) = 5*u**2 - 2*u - 1. Let r be z(-1). Suppose r*l = l + g. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1873\/11 + -170. Let f = 0.2 + -0.1. Sort w, 0, f in increasing order.\nAnswer: 0, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 121, 153, 223, 349, 549, 841, 1243?\n\"Answer: 3*i**3 + i**2 + 8*i + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1 - 4\/5). Let q(l) = -2*l**3 - 6*l**2 - 5*l. Let h(j) = -3*j**2 + 0*j**2 + 10*j**3 - 2*j + 0*j**3 - 11*j**3. What is b*h(r) + 2*q(r)?\nAnswer: r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5\/5 - 73*h**4\/5 + 108*h**3 + 460*h**2 + 304*h\/5 - 3072\/5 = 0?\nAnswer: -2, 1, 12, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 42 = -4*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 13. Let n be h(5). Suppose 4*j - f - 11 = -0*f, -n*j + 4*f - 12 = 0. Calculate the greatest common divisor of j and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003851 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25595882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in minutes?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15722935 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let u(w) = 1999468*w. Calculate s(u(r)).\nAnswer: -3998936*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, 3, 1 in decreasing order.\nAnswer: 354, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 24. Suppose 0 = -2*o - z*o + 1440. Let f = o + -192. Is 42 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.36 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -c - 3528. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415081 is divided by 138042?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 0. Let i(f) = f**3 - 7*f**2 + 7*f - 3. Let w be i(m). Solve -2*p + a = -12, -w*a = 2*p + 2*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**5\/660 - 43*f**4\/66 + 173*f**3\/66 + 404*f**2. Solve s(q) = 0 for q.\nAnswer: -173, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a = 7 - 97 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 7) to base 13\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(2\/7)*n)\/n))**(1\/48)\/(n**(1\/5))**(-12\/7) assuming n is positive.\nAnswer: n**(601\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 14, 4\/5, -11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33236 greater than 412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1419, -2838, -4255, -5670, -7083, -8494, -9903?\nAnswer: -11310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.3, 2.9, 3?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0)\/g)**(-7\/4)*(g\/(((g*(g\/g**4)\/g)\/g)\/g))\/(g\/g**(-1\/4)) assuming g is positive.\nAnswer: g**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*m - 86*m - 28 = 0. Let n = 0.01 + -0.21. Put -5, m, -120, n in ascending order.\nAnswer: -120, -5, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*j - 128*j = 8445. Let p = j - -562. Let g(h) be the second derivative of 5*h**4\/12 + h**2\/2 - h. Calculate g(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3.05. Let p = n - -0.01. Let l = -1.04 - p. Which is the second smallest value? (a) -0.1 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*j = -18, 3*u + 23*j - 98 = 22*j. Solve -u + 126 = -23*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-1)*g*g\/(g\/g**11)*g*g\/(g\/(g*g**(1\/2)))*g\/g**4 assuming g is positive.\nAnswer: g**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 3*u**2 - u - 7 + 15 - 4. What is the units digit of z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-376)\/(-47))\/(28\/(-2))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4 - 2. Let y be -1 - 19*3\/3. Let p be (-4)\/y + (-14)\/(-5). Solve 3*g = 5*z + 4, p*z + u*g - 12 = -0*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4467187 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103, -267, -469, -733, -1083?\n\"Answer: -4*s**3 + 5*s**2 - 151*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1801, -2238, -2675?\n\"Answer: -437*p - 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gaaaggzzzgagzggzag. Give prob of sequence zagz.\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 0, 0 = -6*l + l + 4*n - 75. Let u be 2*((-1)\/(-35))\/(6\/l). Which is the smallest value? (a) -2\/13 (b) u (c) 0.4 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + p**2 - 2*p + 9. Calculate l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 - 32?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -11\/16 (b) 1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423165 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1507753 - 705853. What is n rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 4*d**5\/25 + 174*d**4\/5 + 10092*d**3\/5 + 322. Find k such that t(k) = 0.\nAnswer: -87, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 61. What is the nearest to m in -0.1, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 67 = 4*n - 65, -3*d - 66 = -2*n. Suppose 5*b = -n + 108. Suppose 2*h + 3*h = b. Solve -2*l + 2*i + 6 = 18, h*i - 8 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 60240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3248*z - 8 - 3457*z + 1075*z.\nAnswer: -5630*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13812 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*k - 44 = 0, 41 = -4*k + 33 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrzzbeezzeezbzbbee. Give prob of sequence zrn.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354 (base 7) to base 16.\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x + 17. Let a = -25 - -9. Let h = a + x. What is the greatest common factor of h and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.2 and -0.627.\nAnswer: 10.1574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 2*n = 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000434631038 to seven decimal places.\nAnswer: 0.0004346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 + -51. Is 47 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - -50. Let c = 76 - f. Determine q, given that -c*q**3 - 3*q**3 + 5*q**3 - 2*q**3 + 21*q**2 + 25 - 60*q = 0.\nAnswer: 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 224, 1189, 3692, 8501, 16384, 28109?\n\"Answer: 128*c**3 + c**2 + 66*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -33634*u + 4137000. What is h(123)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1095, -996, -901, -810?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2 - 0) + -3. Let b(j) = -5*j**3 + 11*j**2 - 6*j - 1. Let o(a) = -13 - a**3 + 2*a**2 - 4*a + 13 + 3*a. Determine v*b(q) + 11*o(q).\nAnswer: -q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5532 by 1383.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9580841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -31. Suppose n*p + 12 = 8*p. Calculate the remainder when 26 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.5 and 46?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 3*s + 2*d - 22 = 0, 13 = 4*s - 3*d. Suppose -f + s*f = -o + 13, 5*f = 25. List the prime factors of -3*1*o*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73\/3 of a century?\nAnswer: 29200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 407365 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*u + 36 - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 + 45.3. Let x = c - 43.031. Round x to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:08 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrarraarlaalrrlr. What is prob of sequence arra?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54352 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**3 + 1044294*g**2 = 0.\nAnswer: 0, 348098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 49 + 3 = 0. Suppose 200 = 4*i + a, 10*a + 200 = 4*i + 7*a. Calculate the remainder when i is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -12070906\nAnswer: -1207090.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = 10*b + 391. Solve -h + 9*h - 24 = b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13389725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14936 and 921444?\nAnswer: 3440671896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2556\/25, -0.5?\nAnswer: 2556\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289 - 154. Let c = -150.4 + v. Round c to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -576, -753, -930?\n\"Answer: -177*y - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/9 - 21580*h**3\/9 - 8616000*h**2 - 10281600000*h + 103680000000.\nAnswer: -2*(h - 10)*(h + 3600)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxk when three letters picked without replacement from xbbkkrs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22638, -45088, -67346, -89412, -111286?\nAnswer: -132968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*2*(64\/(-12) - -5). Suppose 3*j - 132 = -3*n, -41 = -j - h*n + 3. Suppose -3*s + 8 = -s. What is the greatest common divisor of s and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -41. Let s = 15 + -9. Let o = s + -6. Solve -3*z + 5*m + 32 = o, -2*m + 4*m + 28 = f*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (166\/2988)\/((-2)\/18)*2*42\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 9*h**2 + h - 6. Let d be y(9). Suppose -1 + 25 = d*f + 2*l, -43 = -4*f + l. What is the units digit of 124\/20 - 2\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 7 + 11 + -14 - (12 + -9 + -154)?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 11, x: 2}. What is prob of picking 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 3 + 0 + 30239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, q: 1, h: 12}. Give prob of picking 1 f and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 24, -2*z = t + 15 - 2. Which is the closest to t? (a) 0.2 (b) -3\/11 (c) 2\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 9:26 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 + (-3)\/9. Let z be 0 + (-2)\/((-2)\/m). Let v = 392\/5 + -78. What is the nearest to z in v, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + e4?\nAnswer: e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 1144836?\nAnswer: 5724180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1269 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045471 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 7*w**5\/60 + 14*w**3\/3 + w**2 + 41*w. Let f be i(0). Put -4, f, 2 in decreasing order.\nAnswer: f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224.3 - -224. What is the nearest to c in 3\/7, -0.5, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -31. Calculate the remainder when j is divided by ((-30)\/4)\/(-5) - (-117)\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16292341.07891 and 0.2?\nAnswer: 16292341.27891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 8 = -8*i. Suppose -i*n = n - 360. Suppose -3*w - 46 = -5*w. What is the remainder when n is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5.3, 0.048, -0.3, -2\/9?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 60356*c**2 - 290707580*c + 435378087100.\nAnswer: -4*(c - 6065)**2*(c - 2959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 320 (b) -4\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110 + (61 - -43) - (1 - -85)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8648?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5710138 and 1631468?\nAnswer: 11420276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*m + 14*m = -196*m + 2486 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10176, -10175, -10174?\n\"Answer: y - 10177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/((-60)\/(-3)))\/(-1*1). Put c, -1\/5, -3 in increasing order.\nAnswer: -3, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*n - 169*n**2 - 240*n - 28*n**2 - 3*n**2 + 3*n**2 - 2*n**2 + 2*n**2 - n**2 + n**2 + (0 + 0 + n)*(-3*n + n + 3*n) to i + d*n**2 + c*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-70) + 8\/(-70). Suppose -5*n = -4*p - 0*n - 1, 33 = 3*p + 3*n. What is the nearest to o in p, -1\/10, -2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(-3)*g))\/(g*(g*(g*g**5*g)\/g)\/g)*g**(1\/11)*(g*g**(-1\/5))\/g assuming g is positive.\nAnswer: g**(-556\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/4 + 220976*i - 2209785 = 0. What is i?\nAnswer: -883914, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74.79556 - -75.15. Round q to three decimal places.\nAnswer: 0.354","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(475) + sqrt(95)\/(sqrt(20) - sqrt(5))*-5)**2.\nAnswer: 30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3986*j + 3969*j + 7 - 5 + 5*j**2 + (2 + j - 2)*(-2*j + 5*j - j) - 4 + 4 + j**2 in the form r*j + l*j**2 + p and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 630*u**2 + 18912*u + 371. What is d(-30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 1277870*x - 81647586845.\nAnswer: -5*(x - 127787)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -234032, -234065, -234134, -234257, -234452, -234737?\n\"Answer: -3*p**3 - 12*p - 234017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12810760?\nAnswer: 2, 5, 320269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.68 < 14\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.075 - -0.097. Let x = 0.24 - v. Let q = x - 0.07. What is q rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 5:37 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8517558, 17035122, 25552688, 34070256, 42587826, 51105398?\n\"Answer: t**2 + 8517561*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.622498 seconds in milliseconds?\nAnswer: 3622.498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1166 and (-552)\/(-96) - (-27643)\/(-4664).\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-15)\/(-3))\/(-20))\/((-3)\/36). What is the nearest to -1 in -0.2, t, 28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from iffii.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15742306 and 113424?\nAnswer: 377815344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -15. Suppose 2*h - 9 = -h + j*a, 0 = -4*h + 2*a + 12. Suppose 0 = -h*p + 2*p + 4900000. Round p to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10230083.\nAnswer: 10230083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a69 (base 15) to base 6.\nAnswer: -42300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 166587*g**2\/5 - 1389674664*g\/5 + 35190343132\/5.\nAnswer: -(g - 16646)**2*(5*g - 127)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2946 - -6889. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89\/35 + -909\/385. Sort -1\/4, l, -2.22 in descending order.\nAnswer: l, -1\/4, -2.22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 78702*u + 4704. Let y(o) = -9259*o - 560. Let x(v) = -5*s(v) - 42*y(v). Let m(j) = -j**2. Determine m(x(h)).\nAnswer: -21455424*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/10433 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:13 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/3 + (-1)\/(-3). Find the first derivative of -2 - z + z - a*z + 0*z wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, 0, -2\/1055 in increasing order.\nAnswer: -0.1, -2\/1055, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r - 63 = 0. Let h be 7\/r*(-2 + 551). Suppose 2*k - 35 = -2*g + 79, 3*g + h = 3*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*v**2 - 2*v - 231 wrt v?\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n - 1075 - 1397 = 15*n + 160 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyssyyyy. Give prob of picking 2 y and 2 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 223224 divided by -4?\nAnswer: -55806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - 0.3. Let d be ((-6)\/(-15))\/((-44)\/100221). Let l = d + 911. Is l > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25180312 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*j = 26, 0 = -f + 6*j - j + 28 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*b**5 + 3549*b**3 + b**2 - 2*b - 28106.\nAnswer: 420*b**2 + 21294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*2)\/sqrt(10))\/(sqrt(77)\/(sqrt(22)\/sqrt(2))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.035 * -75.67\nAnswer: 2.64845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 - 3*s + 2. Let t be x(2). Let l = 10 - t. Let h be 35\/30 + l\/(-12). What is the greatest common divisor of h and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, and 1 c when three letters picked without replacement from caxxdfp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385346752 = -3*q - 2*s - 29128299, 2*s = -2*q + 237478970. Suppose -16*j + q + 6700517 = 0. What is j rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 2 - 2)*(2*p - 2*p - 2*p**2) + (-3*p**2 + p**2 + 0*p**2)*(0*p + 2*p + 1 - p).\nAnswer: 6*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + 4) - (-20 + 0 + 1193 + -1151).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*y + 119, -2*h - y + 6*y + 236 = 0. What is the remainder when 365 is divided by h?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**2 + 5*y + 7. Suppose -124*w + 592 = -772. Calculate the remainder when q(-4) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {w: 2, o: 11, t: 1}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjly when four letters picked without replacement from nfwnjjyflnf.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 43. Suppose 12 + 20 = 4*x. Suppose x*r - z*f - 83 = 3*r, -49 = -3*r + 2*f. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1662 - -2112. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**2 - 1. Suppose 0 = -2*h + 3*p + 23, 2*h - 3*h = 4*p + 5. Let u be y(h). What is the highest common divisor of u and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 236? (a) -3 (b) 0.2 (c) 1\/2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*z - 16, 4*c + 32 = -0*c + 4*z. Let n(u) be the second derivative of -28*u + 1\/6*u**3 + c + 4*u**2. What is n(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -24*m**3 + 3*m**2 + 14*m + 1. Is t(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/12 - (-1534)\/8) + 3. Let t = 273 - k. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -396, -398, -400?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.289\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -916, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11146, -22013, -32880, -43747, -54614?\n\"Answer: -10867*j - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206 divided by -333?\nAnswer: -134\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1169299, 1169279, 1169259, 1169239, 1169219?\n\"Answer: -20*c + 1169319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 12) to base 15\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12336\/(-1542)*((-6)\/15)\/(((-32)\/(-500))\/(-2))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1786886571?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 1, -38, 5.\nAnswer: -38, -10, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.45 - -0.41. What is the second biggest value in o, -3, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q + 4. Suppose q*k - k = 1842. Is ((-3)\/(-2))\/3*k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.15, -6, 2\/295, -13, -1?\nAnswer: 2\/295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -455 - -4174. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*y + 5*u - 33, 4*y = -u - 24. Let o be (y\/(-4))\/(6\/16). Let n be (-1 + -2)\/(3\/(-1)). Solve c - o*k = -17, -13 = -4*c - 4*k - n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.401, -1, 1\/6, -0.7, 5\/4, 1\/4?\nAnswer: -0.401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -930573, -930636, -930737, -930876, -931053, -931268?\n\"Answer: -19*c**2 - 6*c - 930548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4936620?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.231075 months to decades.\nAnswer: 0.201925625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = 21*p + 2*k + 6, p - 16 = 4*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 2, x: 4}. What is prob of sequence lx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 201 (b) 0.1 (c) 1\/8 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in 1, -0.5, -0.08, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000917 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 238862296*y - 238862294.\nAnswer: -2*(y - 119431147)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 17037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-17170)\/(-1111))\/(-170))\/((-1)\/(-26))\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 10 = o. Let b(k) = k**2 - 1. Let i(g) = 3*g**2 - 4*g + 8. Let j(n) = 4*b(n) - i(n). Is j(o) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 162 - 838*l + 247.\nAnswer: -838*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -22 - 29 - (-2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 101\/2 of a litre?\nAnswer: 50500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38222.551 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 + -3786.\nAnswer: -3874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 352181811 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 11. Let v be l(-9). Suppose 3*c - 38 = 5*n, -2*c + v = n - 2*n. Let r be -1 + c - (-2 + 2). Solve b + b - 4 = -r*y, 6 = 3*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 13.39?\nAnswer: 6.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130209 - -10434. Suppose -2*t = -99357 - j. Round t to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 39*x**2 - 2*x + 80. Let r be a(39). What is the hundreds digit of 1*r + (6 - 10) - -303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2912205769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (490\/700)\/(4 + 1\/(-8)*34).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 5 - 2*r.\nAnswer: -2*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -1\/2, 13, -7\/8, 6 in ascending order.\nAnswer: -8, -7\/8, -1\/2, 2, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -908731117 greater than or equal to -908731118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -106, -42, 22, 86, 150?\n\"Answer: 64*v - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025402 is divided by 2501.\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5 - 11*i**3\/3 + 6*i. What is the second derivative of t(o) wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 33*p - 250 = 40*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*k**2 + b**3*k - 15*b**3 + 49*b**2*k**2 + b**2*k - 2*b*k**2 - 3*b*k + 11*b - 47*k**2 wrt k.\nAnswer: -4*b**3 + 98*b**2 - 4*b - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9) - 122\/(-6). Suppose -3*x = 6 - v. Let a(i) = -5*i**2 + 36*i - 7. Let w be a(7). Solve w = -x*q - 25, 5*u + 0*u - 3*q = 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3857 - -8227. Round r to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:11 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 835, -4\/57, 851, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9985 - 2*j**2 - 1114 + 19364 + 10*j**2.\nAnswer: 8*j**2 + 28235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 35 = 3*u, 4*l + 5 - 41 = 4*u. Find s, given that -2*s**l + s**2 + 48066*s - 3*s**3 + s**5 + 7*s**2 - 48070*s = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*1 + sqrt(78) - sqrt(78))*2)\/(-4*-2*sqrt(6)) + sqrt(1573)*2 + (sqrt(468)*4)**2.\nAnswer: 45*sqrt(13)\/2 + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 54, 98, 160, 246, 362, 514?\n\"Answer: j**3 + 25*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + -2*6*3*(3 + sqrt(405)))**2*6.\nAnswer: 832032*sqrt(5) + 6435948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {r: 2, i: 1, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -5, -0.7, -642?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(1\/9)*w)\/w)\/w)\/w*w\/w**2*w*w)**(2\/3)\/((w\/w**2)\/(w*w**(-3)\/w)*w**(1\/2)\/(w**(1\/2)*w)) assuming w is positive.\nAnswer: w**(-25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - k - 1. Let z = -548 + 452. Let v(s) = -32*s**3 + 24*s + 24. What is z*o(d) - 4*v(d)?\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 749\/3 + -17212\/69. Do x and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 - 3*c**2 - 3*c. Calculate the remainder when 66 is divided by w(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*p - 0*p - 55, 0 = p - 5*t - 19. Suppose -6*v = 2 - p. Suppose 0 = -11*j + 9*j + 8. Solve j*u = m + 6, v*m + u - 6 = -0*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4455433 - 11?\nAnswer: 4455422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68 + (-3 - 1) - 4. Let i = o - 61. What is the tens digit of i*(-7)\/((-35)\/(-310))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -43, -15, 17, 53, 93?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/55 and (4 + 474\/(-15))*(-2)\/8.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -1\/2, -3, -0.047, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(2 + 10 + 0)*(2*s - 2 + 2) + (-4*s + 0*s + 3*s)*(-2 - 3 + 6).\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.52 from 290824252.\nAnswer: 290824252.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15248?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284666 - 284466 = -20*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-4*(2\/(-48))\/(126\/252).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 5*f. Let x be (f - 3)\/(0 - -1). Let z be (x + -1)*(1 + -3). Solve t = z*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 1, m: 1}. Give prob of picking 1 m, 1 e, and 1 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7705314 (base 8) to base 13\nAnswer: 574b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2. Let g = 12 + w. Suppose -m + 21 = 2*m. What is the remainder when g is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*g = -1054 - 584 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.957 + 0.043. Let l = -28 + x. Which is bigger: -14 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1063 + 1156. Calculate the remainder when 276 is divided by u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)*z)**(-18)*(z*(z\/(z**(3\/8)*z))\/z*z*z)\/(z*z*z\/((z*z**(-33)*z)\/z)))**47 assuming z is positive.\nAnswer: z**(-17061\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1190120576 and 22944?\nAnswer: 7648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-20)*(-120)\/168*49.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = 1. Let s(t) = t**3 + 6*t**2 + 4*t - 2. Let n be s(-5). Suppose 3*y - r*y - n = -2*i, 4*y - 9 = i. Solve 12 = -5*h - y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67\/221 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60271 + 77223 = 4238*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20326 (base 11) to base 15\nAnswer: -8bd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = -l, l + 3 = -4*r + 14. Solve -r*i + n = 3*n, -4*i + 20 = -n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 247379440 to the nearest one million.\nAnswer: 247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6521, -13038, -19555?\n\"Answer: -6517*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2944.459961 + 2945.02. Let b = 0.56 - z. Round b to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 6:31 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5*2\/(-6))\/(95\/(-114)). What is d in 3\/5*d - 3\/5 - 3\/5*d**3 + 3\/5*d**x = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-5))\/((-1)\/(-20)). Put f, 3\/4, 0 in decreasing order.\nAnswer: f, 3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*j - 24, 4*g - 6*g - 12 = -j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231188 is divided by 229827?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4261917 >= 4261918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = -8. Solve d = -3*c - 8, -3*d + d + o = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x - 3. Let y(g) = -2*g - 4. Let z(i) = i + 5. Let q(d) = -3*y(d) - 2*z(d). Give 8*q(c) + 5*v(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 2*z**2 + 1. Let v(b) = -3*b**3 - 3*b**2 - 8. Let h(u) = -2*u**3 - 3*u**2 - 6. Let w(m) = 4*h(m) - 3*v(m). Determine 3*o(f) - 2*w(f).\nAnswer: f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/5 - 12\/5*m**2 + 4\/5*m - 4\/5*m**3 + 8\/5*m**4 = 0. Calculate m.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 13121?\nAnswer: 13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o + 0 - 4\/3*o**3 - 28*o**2 + 1\/60*o**5 + 5\/24*o**4. What is p(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -52 + (-9)\/6*2. Let m be 10\/h + 92\/22. Sort m, -1, -2 in increasing order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7\/3, 19\/238, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 + -5 - 4) + 2)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82309380 by 2.\nAnswer: -41154690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*((-4 + (-2*sqrt(1100) - sqrt(1100)) - (-2 + (sqrt(1100)*-1 - sqrt(1100)) + sqrt(1100))) + 2))**2.\nAnswer: -118800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 216 - 215. Is -1.09 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 0*k**2 - 5*k**2)*(2*k - 2 + 2) - 4*k**3 - k**3 + 6*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3990, -30399, -102094, -241719, -471918, -815335, -1294614, -1932399?\n\"Answer: -3774*l**3 + l**2 + 6*l - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12179054 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(0 + -3)*-5. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - p = 20. Let k = 6 + -10. Let g = k + 3.8. What is the second smallest value in p, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 44*x**2 + 11*x. Determine l(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p**3 - 5*p**2 + 6*p - 61. Let k(l) = 9*l**3 + 6*l**2 - 7*l + 57. What is 5*j(x) + 4*k(x)?\nAnswer: x**3 - x**2 + 2*x - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -2, -7\/3.\nAnswer: -7\/3, -2, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5338303 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x - 11 = 3*c, 0 = 5*x - c - 10. Let d = 0.05 - -1.95. Put 0, d, x in increasing order.\nAnswer: 0, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - q - 2*q)*(3 + 3 - 5 + (-3 + 6 - 1)*(0 + 6 + 1)) as x + v*q and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.004 - 0.004. Which is the second smallest value? (a) 3\/37 (b) k (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 12 - 13*s in the form k*s + f and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*i**2 + 601*i**2 + 14*i + 8*i - 2 + 28*i wrt i.\nAnswer: 980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/2 + 27\/3*(-624)\/(-468).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.52164906 - 989.\nAnswer: -916.47835094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 9:46 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 - 992134*a\/3 - 492164936978\/3.\nAnswer: -(a + 992134)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35127 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8179501453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4\/4 - 1371*r**3\/4 - 140865*r**2\/4 + 1371*r\/4 + 35217 = 0 for r.\nAnswer: -301, -156, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -5\/8*l**4 + 0*l**3 + 0*l + 7*l**2 + 19\/20*l**5 + 19. Solve w(c) = 0.\nAnswer: 0, 5\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 6*b + b. Let c(u) = 2*u**2. Determine s(c(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 9. Calculate the remainder when ((-6)\/3)\/(2\/(-14)) is divided by h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 670050 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -193, -434, -771, -1204, -1733?\nAnswer: -2358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12399640 is divided by 1514?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 13. Let n be m(-6). Suppose -n*v + 3 = -8*v. What is the smallest value in -8, -0.3, v, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 56 + 33*m**2.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1100) + 0)*-2)**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/4 + 943*j\/4 - 945\/2 = 0.\nAnswer: -945, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3993 = g + 3978, -22*g + 20 - 130 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 12) + -7 + (0 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20008?\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/42 - (-20)\/70. Let h = -2.938 - 0.012. Let w = h + -0.05. Which is the nearest to w? (a) i (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2063*-1\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 326.\nAnswer: 5\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79692?\nAnswer: 2, 3, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301732023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23011401 (base 8) in base 9?\nAnswer: 10337856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 6) in base 4?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 8*o**2 + 21*o**3 - 22*o**3 + 2. Let q be w(7). Is q\/(-6) + 5 + 1706\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 12*c**2 - 5*c - 2. Let a(n) = -3*n**3 + 13*n**2 + 7*n + 2. What is 3*a(j) + 4*l(j)?\nAnswer: -j**3 - 9*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71980 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.64794 tonnes to kilograms.\nAnswer: 63647.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1002 and 204965112?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 171*d - 17088. Determine a(100).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13412983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-695 - 856 + 1769)*(-5*k - k**3 + 5*k) to the form f*k**2 + v*k**3 + y + t*k and give v.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1267 - -1266. Let x = 0.1 + -0.2. Which is the biggest value? (a) x (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2149*m + 144. Let h(a) = 15*a**2. What is x(h(k))?\nAnswer: -32235*k**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30948122 and 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*d + 63*d + 160*d - 66*d - 33*d + 25*d.\nAnswer: 253*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/10)\/((-12)\/(-40)). Is 1*3\/6*z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2915 - 2915.5. Let u = 1\/24 + -3\/8. What is the fourth biggest value in 0.1, u, 1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 104\/(-10) + (-12)\/(-30). Let n = -10 - o. Solve n*w + 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5609383 is divided by 106.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2099 plus -34.5?\nAnswer: -2133.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11949989451 + -8.13\nAnswer: -11949989459.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.967*1.511.\nAnswer: -33.192137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -4. Let c be 1 + (-2 - -3) - -1. List the prime factors of (0 - a)*4*c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*n - 181*n = 6. Find the third derivative of -13*r**2 - 81*r**n - 30*r**6 - 78*r**2 + 9*r**2 wrt r.\nAnswer: -13320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, -2\/5, 4, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400.3923 months to years.\nAnswer: 33.366025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/2, -1219, 3, -2\/5, -1044?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 178, 178, 176?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(171) + -1 + 5)*-1.\nAnswer: -9*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**6\/120 - j**5\/60 + j**3 - j**2\/2 - 4. Let r(x) be the second derivative of d(x). Let b = 5 - 5. Give r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeft. What is prob of sequence te?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792016 is divided by 1440.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = 300*p - 289*p - 410 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 74*j + 6199. What is m(124)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -57\/79 <= -35840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 439661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(1\/12)*462\/54. Let c = 101 - r. Is c at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z**2 - 12 + 50 + 16*z**2 - 10*z + 25 to w*z**2 + m*z + r and give r.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 2*m + 9. Suppose 56*t = 50*t + 12. Let p be v(t). Calculate the greatest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a276 (base 16) in base 14?\nAnswer: 2b07c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 193\/(102290\/4134)*1*-1\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2704*r. Let n(s) = 93*s. What is 117*n(h) + 4*z(h)?\nAnswer: 65*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u + 78. Suppose 11*q - 22*q = -5247. Calculate the remainder when q is divided by r(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**5*x + 13370531*v**3 - 3*v**2*x + 3*v*x - 4871904*v + 2*x + 2 wrt v.\nAnswer: -180*v**2*x + 80223186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0413 + 449.0413. Let o = p + -451.03. Let y = 0.03 + o. Is y less than or equal to -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/83, -5, -2\/9, 4, -0.18?\nAnswer: -4\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -10*w + 2346. Let z = w - 1535\/4. Which is smaller: 8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 v, and 2 l when four letters picked without replacement from {v: 2, j: 3, r: 2, l: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/((-4)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 4*f + 6*f)*(-3*f**2 + f**2 - f**2) + (22 + 14*f - 22)*(-f**2 - 6*f**2 - 10*f**2).\nAnswer: -235*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 6) to base 5\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33129\/47 - 705. Let k = -146\/329 + u. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7486 less than -3162222.8?\nAnswer: -3162222.0514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/(-6) - 4884\/(-36)) + -2 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2202 (base 3) to base 8\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 11*g**2 - 10*g - 16. Let p = -7 + -3. Let q be s(p). Suppose -3*r + q = a, 209 = 3*r - 2*a - 2*a. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(363) + 2 - (-1*sqrt(27) + (sqrt(9) - sqrt(27)\/sqrt(3))\/sqrt(3)))*-2.\nAnswer: -28*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 - 5.77\nAnswer: -5.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u + 45 = 0. Let b = u + 26. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w. Let l(o) be the second derivative of o**3 - 26*o**2 - 91*o - 1. Let a(u) = -3*u + 28. Let p(b) = -11*a(b) - 6*l(b). Calculate p(k(v)).\nAnswer: 6*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**6\/540 + 7*k**5\/90 + 8*k**4\/9 - 172*k**3\/3 - 93. Let u(a) be the third derivative of g(a). Solve u(w) = 0 for w.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**3 - 3*d**2 + d - 1. Let k(h) = -h**3 + h. Determine 2*k(q) - n(q).\nAnswer: q**3 + 3*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 7*u + 2. Is m(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2*q - 44 = 0, 149*q + 18 = -2*r + 150*q for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, f: 1, h: 7, b: 1, y: 3}. Give prob of sequence hayy.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - 0.4. Let m = -35 + 30. What is the fourth biggest value in 0.2, -3, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 0. Let o be 18\/(-54)*(-1 + 2\/2). Solve 2*t - w*t - 10 = o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 0 + 2*r + 2*r - 3. Let t(d) be the second derivative of -d**3\/6 + d**2 - d. Determine 3*i(h) + 4*t(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 1016?\nAnswer: 11176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 256956 divided by 3381?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231*q**4*z - 1056*q**2*z + 20689*q*z - 14*q wrt q.\nAnswer: 2772*q**2*z - 2112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24905, 49550, 74195?\n\"Answer: 24645*o + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -0.4 (c) -85 (d) -0.1 (e) -350 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 5)*(1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(1*sqrt(1296) + sqrt(1296) + sqrt(9)) - (0 + sqrt(637) - sqrt(637) - sqrt(78)\/(sqrt(12)\/sqrt(2)))**2.\nAnswer: -13 + sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**3 + 5*f**2 + 698*f - 7. Let y(d) = 18*d**3 + 19*d**2 + 2790*d - 26. What is -3*y(b) + 11*z(b)?\nAnswer: b**3 - 2*b**2 - 692*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*a + a + 4*b, 0 = 3*a + 5*b + 8. Let i(k) = k**3 + 5*k**2 - 6*k + 5. Let j be i(a). Let s be 7\/j - (5 + -4). Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 131 + 183 + 16. What is l(-23)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13\/u*u**(2\/11)*(u\/(u**(3\/4)\/u)*u)**49)**15 assuming u is positive.\nAnswer: u**(80805\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -4.8. Let g = o + -4. Which is the nearest to 1? (a) 1 (b) -1\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3574 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220101111 (base 3) in base 11?\nAnswer: 527a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m - 4*z, -2*z + 6*z = 0. Let l(a) = -4*a**2 + 119*a - 83. What is the remainder when (-24)\/(-5) - m\/(-5) is divided by l(29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7282686, 29130740, 65544172, 116522988, 182067194?\nAnswer: 262176796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7078, 14157, 21236, 28315, 35394, 42473?\n\"Answer: 7079*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 15\/5081054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*9 + -1 + -2. Let h = 19 - x. Sort 11, h, 0.3 in ascending order.\nAnswer: 0.3, h, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a57 - 9?\nAnswer: -3a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13916 + 13915. Which is the closest to k? (a) 0.05 (b) 5 (c) 13 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 8. Let j be (2 + -1)*2*(-10)\/(-10). Solve 0*k + j*k = -x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4*t - 199263*h**4 + 379544*t with respect to h.\nAnswer: -8*h**3*t - 797052*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 5*v + 231. Let x be m(21). Calculate the greatest common divisor of 1232 and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = 1. Let q be j + -335 + 3\/3. Find the common denominator of -109\/14 and (2\/(-4))\/(32\/q).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 658*a**3 + 14*a**2 + 5*a - 1693?\nAnswer: 3948*a + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11055033 and 1485?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + 130 + -57 - -75?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/30*(-16)\/32*10*4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.3 + 70.354. Let m = h - 0.054. Is 0.5 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45\/44 - -14\/11. Which is the third biggest value? (a) k (b) 1\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44, -88, -144, -212, -292, -384, -488?\n\"Answer: -6*v**2 - 26*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/7 - -67\/28. Let r be (-4)\/14 + 9\/7. Which is the smallest value? (a) -1 (b) q (c) 2\/3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2530 and 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -26*q + 20*q. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-5))\/((-10)\/((-1000)\/15))*(-1)\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.045834588 - 0.4.\nAnswer: -0.445834588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -47. Let j(w) = w**2 + w + 2. Let a = 27 + -25. What is the lowest common multiple of j(a) and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*i = 61*i - 2*y + 18, -3*i - 3*y = -18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -1 + -1 - (sqrt(1331) - (sqrt(1331) + -1*sqrt(1331)*-1) - sqrt(1331) - sqrt(1331)) - (-1 + sqrt(1331) + -1 - sqrt(1331))*-1)**2.\nAnswer: -352*sqrt(11) + 21312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67962, -135922, -203882, -271842, -339802?\nAnswer: -407762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + g + 3*g)*(-2*g**2 + g**2 + 3*g**2) + 9 + 14*g**3 + 29*g**3 - 78*g**3 in the form z*g**3 + a + r*g + i*g**2 and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 + -167. Let a(s) = -29*s - 23. Let m(j) = 22*j + 22. Let q(c) = 3*a(c) + 4*m(c). Give q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5, 4*i + 8 + 13 = 5*o. Let p(l) = -47*l**2 - 5*l. Let v be p(o). What is v rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -19*p**2 + 12*p - 1. Let q(n) = 35*n**2 - 21*n - 1. Let d(x) = -9*o(x) - 5*q(x). Determine d(-5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2 + 2. Let z(t) = 46*t**2 - 11. Suppose -3*j - 86 = -14*l + 18*l, -20 = 4*l. Calculate j*s(p) - 4*z(p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 165 + 40. Calculate the highest common divisor of 25 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 379.3892 - 0.3892. Which is bigger: -2\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2352 and 11\/26876598?\nAnswer: 215012784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 3*x + x - 20, q = -5*x + 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 19. Let y be -1*(2 + o)\/8. Suppose -1 - 3 = i. Sort -0.5, y, i.\nAnswer: i, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2367 and 6655215.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-4)\/(-48)*-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 321*v**3 + 6 - 13*v + 33 + 2*v**4 - 320*v**3 - 4*v**2 to r + z*v**2 + p*v**3 + q*v**4 + u*v and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 15. Suppose -4*x - 3*o - 13 = -4*o, -4*o + 16 = -4*x. Let r be x + (6 - (3 + 2 + -2)). What is the tens digit of c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -159\/16246?\nAnswer: -159\/16246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217*c**4 - 86*c**4 + 6*c**5 + 3 - 3*c**5 - 9*c**2 - 90*c**4 - 2*c**5 wrt c.\nAnswer: 60*c**2 + 984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -1\/2*a**2 + 0 + 8*a - 3*a**3. What are the prime factors of x(-2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44)\/(-14)*7\/3. Let z = -23\/3 + g. Let c = 0.02 - 5.02. What is the closest to -0.1 in c, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 45*q**3 - 90*q**3 + 43*q**3 + q**4 + 5*q**2 - q as u*q**4 + g*q**3 + o*q + y + f*q**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161161.249427 + 12?\nAnswer: 1161173.249427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 4*i**3 + 0*i + 0*i**3 + i**3 + 0*i**3 + (2*i + 2*i - 3*i)*(-2*i**2 + 3*i**2 + i**2) as m*i**2 + r + v*i**3 + d*i and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (-1 - (-9 + 21))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 3*l**2 - 6*l - 32. Let p be u(-5). Is 51 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*c**3*g**2 - 8*c**3*g*j + 14*c**3*g - 2*c**3*j + 3*c*g**2*j - c*g**2 + 3*c*g*j + g**2*j wrt g.\nAnswer: -174*c**3 + 6*c*j - 2*c + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -31. Suppose 3*f = -2*n - 15, -n - c*n + 20 = -4*f. Solve n*m - m + 10 = 3*k, -m = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5904 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 77, 105, 117, 107, 69, -3?\n\"Answer: -c**3 + c**2 + 42*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b)\/b)**(-6\/19)*(b**0*b)**(-42)*(b**(-3\/4)\/(b**(-4)\/b))**30 assuming b is positive.\nAnswer: b**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/189, -10, 2, 5, -12, -0.2 in increasing order.\nAnswer: -12, -10, -0.2, -4\/189, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.41, -2\/11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -4*m**3\/3 - 1. Let g(s) = 0*s + 0*s + 356*s**2 - 354*s**2. What is k(g(p))?\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 69 = -4*b - 1, -3*b + 5*q = 58 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + ((sqrt(162) - (sqrt(162) + -1 + sqrt(162) - sqrt(162)))**2 - sqrt(2)) + -1 + 2*3*(0 + -5 + (sqrt(18))**2).\nAnswer: -sqrt(2) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8822074\/9 + 975408. Let f = o + 4817. Calculate the common denominator of f and -37\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -56. Let b be (-8)\/d - 38\/70. What is the third smallest value in 0.5, 0, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 182, 12 in ascending order.\nAnswer: 5, 12, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111011100001 + -100010111100011?\nAnswer: 10100011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9da99 (base 16) to base 7\nAnswer: -5326520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from cdddcnd.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 - 0.81. What is the nearest to 0 in y, 0, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -21202377 = -21202384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 4. Let q be r(0). Suppose 3*t + 2*u + 32 = -t, 0 = 4*t - q*u + 32. Let n(k) = 4*k. Let o(f) = 12*f. Calculate t*n(a) + 3*o(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2109 - 2112. Sort 100, -5, p, 5 in increasing order.\nAnswer: -5, p, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 567464529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**4\/2 + f**2 - 22*f. What is the derivative of l(s) wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 13*t**2 - 12*t + 26. Let o = -286 - -298. Let w be q(o). What is the highest common factor of 26 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1972 and 151\/41412?\nAnswer: 41412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 8*h + 4. Let l(p) = 7*p**2 - 22*p - 11. Let n(s) = -11*d(s) - 4*l(s). Let k(c) = -2*c**2 + c**2 + 0*c**2. What is k(n(r))?\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23992693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 7. Let z(v) = v. Let t(w) = a(w) + 4*z(w). Let k be t(2). Let u be 3\/(k\/(-2)) + (-72)\/(-27). Solve 12 = -2*f + 2*p, 0 = f + p + u*p + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33030 divided by 16515?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2405 is divided by 134?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256174?\nAnswer: 2, 23, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -119 and 468.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 30*b + 5174. Calculate the remainder when b is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 12:03 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 49*o - 5. Let g(q) = q**2 + 7*q - 7. Let j be g(-8). Suppose 3 = k - j. Is u(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w. Calculate the least common multiple of y(-1) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13007 * -2.1411\nAnswer: -0.278492877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1 + v**2 - 8*v**2 - 6*v**3 + 10*v**2 - 4*v**2 - 2*v. Let l be (-2)\/5 - (-3)\/(-5). Let d be b(l). Solve d*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 533 + 532 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**2\/2 + 13*d + 1. Let j be n(11). Solve 0 = j*c - 3*h - 2*h - 19, c = h + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*a - 2*h, 3*a - 6 = 2*h - 5. Let i(t) = -5*t**3 + t. Let x be i(-1). What is the units digit of (0 - -1)*a*x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 10. Let u be q(8). Let z be u\/8 - (-1172)\/(-16). Round z to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22693 is divided by 7556?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 986 - 2035. Let t = r + 23071\/22. Let v = 110 - 879\/8. Find the common denominator of v and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175129*y + 181606*y - 4 + 4.\nAnswer: 356735*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -7*w**4\/12 - 11*w**2. Let c(z) be the second derivative of z**3\/3 - 16*z. Determine o(c(f)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + 182\/(-10))\/((-1)\/(-425)). Round z to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/3 + 32*a**3\/3 + 19*a**2 - 30*a = 0?\nAnswer: -30, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 9*t**2 - 2*t + 13. Suppose -4*w = -5*w + 9. Let s be v(w). Is -3 - (-155 - (s - -2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/60*24\/54?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 26*q - 7*q - 1280. What is the highest common factor of q and 2176?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 19*u**2 - 24*u + 12. Let n be g(-20). Let k = n + 234. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 4*i - 4. Let o(w) be the first derivative of -3*w**4\/4 + 2*w**2 + 5*w + 14. What is 5*m(f) + 4*o(f)?\nAnswer: -2*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unnn when four letters picked without replacement from {n: 17, u: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/75*60\/(-36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6896392 from -0.2.\nAnswer: 6896391.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*h + 2 = 0, 3*s = -4*h + 6 - 31. Which is the smallest value? (a) 2 (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -9. Let g = -3 + -2. What is the third biggest value in m, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00716984 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 294 + -107. What is the remainder when c is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -339*h**3 + 534*h**2 + 10. Let v(k) = 340*k**3 - 533*k**2 - 12. Let p(s) = -6*a(s) - 5*v(s). What is the third derivative of p(y) wrt y?\nAnswer: 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -16. Suppose 4*t = 6*t - d. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.63 + 1.64. What is the closest to 0.1 in n, 4, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2605*q - 3560*q + 141076 = -7717*q - 69996 for q.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 - -104. Suppose -2 - 13 = d*j. Suppose 0 = 7*g + 6 + 15. Put j, 3, g in descending order.\nAnswer: 3, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-15) - (-731)\/255. What is y in 0*y**5 + 73*y**4 + 6*y**5 - 58*y**4 - 15*y**2 + 20*y - y**5 - 25*y**d = 0?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6722200 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22371 times -2?\nAnswer: 0.44742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 77*y + 1990. Is 9 a factor of h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-303)\/(-606))\/((-2)\/1). Which is the nearest to k? (a) 1\/4 (b) -2\/9 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 39*h + 1025. Let v be x(-29). Is v less than or equal to 1578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c737 (base 13) in base 11?\nAnswer: 107028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442065, 883525, 1323795, 1762281, 2198389?\nAnswer: 2631525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4\/5 (c) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41019 - 41019 - 8*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 24\/3335 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 2.5. Let f = 34.5 + -29. Let y = -6 + f. Which is the smallest value? (a) x (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5\/2 + 34*h**4 - 619*h**3\/2 - 409*h**2 + 684*h = 0.\nAnswer: -76, -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19230, -38461, -57692, -76923?\n\"Answer: -19231*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 72, -0.1, -3, 2 in descending order.\nAnswer: 72, 2, -0.1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(21))\/sqrt(7))**2 + (sqrt(3) - sqrt(216)\/sqrt(8)).\nAnswer: -2*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 1\/6, 1\/64, -2\/7, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 35007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -3*p - m - 0, -3*p = -3*m + 72. Let y = 26 - 62. Let j = p - y. What is the remainder when 42 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + 1*(2 + (sqrt(300) - sqrt(300)*2*4)))**2.\nAnswer: -140*sqrt(3) + 14698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*n**2 - l**2*n - 3*l**2 + 4*l*n**2 + 9062*n**2 + 29612*n wrt n?\nAnswer: -6*l**2 + 8*l + 18124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/2)\/((-9)\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13629139*y**3 + 2*y**2 + 25148212*y wrt y.\nAnswer: 81774834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*u - 748 = 0, -5*u + 142 = 2*x - 218. Suppose 32 = -2*o + x. Let t = o + -68. Solve 0 = 3*y - 1 - t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3\/8)\/p)*p\/p**(-1\/7))**34 assuming p is positive.\nAnswer: p**(3349\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2795 = 4*q - 552, 5*q - 2*z = -2794. Let s = q + 793. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8379303 is divided by 1146.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 427, 856, 1283, 1708, 2131, 2552, 2971?\n\"Answer: -k**2 + 432*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3145, 12633, 28469, 50653, 79185?\nAnswer: 114065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert b2 (base 13) to base 3.\nAnswer: 12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 26 = -2*f, -5*k - f = -4*f - 11. What is the second derivative of -5*u**5 + 0*u**5 - k*u - u + u wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) - sqrt(330)*-1)\/sqrt(11)*3)\/(sqrt(30)\/sqrt(3)*-1 + sqrt(10) + 2*sqrt(810)) + 3.\nAnswer: sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -330845 and -0.1.\nAnswer: -330845.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683*k + 622*k + 665*k - 1971*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 21*g + 1. What are the prime factors of d(11)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-30)*(-64)\/(-6))\/(109\/((-11990)\/44)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((3 + -2)\/4). Suppose t*o + 58 + 43 = -3*d, -5*d - 5*o - 175 = 0. Is (-1846)\/d*(-3)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5572 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 - 7*p**2 - 3*p + 3. Let z(v) = 21*v**3 - 48*v**2 - 21*v + 21. Let c(n) = -27*d(n) + 4*z(n). Factor c(a).\nAnswer: 3*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61.2 * -2.6\nAnswer: -159.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 135307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1417833922, -1417833924, -1417833926, -1417833928, -1417833930, -1417833932?\nAnswer: -1417833934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i + 9*i + 1 - 4*i + 0*i. Suppose 3*c + 4 = -2*d, 4*d + 0*d + 4*c = 0. Determine a(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82431849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + k**4 + (-3*k**2 + 3 - 3)*(-4*k**2 + 5*k**2 + 0*k**2))*(4 - 1 + 6).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-1 - 5 - (-9 + 8 - 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 - 161.9. What is the third smallest value in 3\/7, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2118 - 217.52687.\nAnswer: 1900.47313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9001174423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.53, 2\/9, 3099, -2\/231.\nAnswer: -2\/231, 2\/9, 0.53, 3099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z**2 - 3*z + 2. Let q(s) = 3*s - 23. Let p be q(11). Suppose 0 = -7*m + 12*m - p. What is f(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -36. Calculate the least common multiple of (2\/3)\/((-13)\/(-273)) and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15242? (a) 27 (b) -1\/6 (c) 1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**4 - 4*k**3*u + 135*k**3 + 13*k**2*u - 2*k**2 - 6017*u wrt k.\nAnswer: -48*k - 24*u + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*l, -2*g + 23 = -l + 4*l. What is the remainder when 348 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1814, -3573, -5340, -7121, -8922?\n\"Answer: -g**3 + 2*g**2 - 1758*g - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -45?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34821 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -11*g - 7\/6*g**3 + 0*g**5 + 0 + 0*g**2 + 0*g**4 - 19\/30*g**6. Find the second derivative of v(h) wrt h.\nAnswer: -228*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -0.21 in decreasing order.\nAnswer: 0.3, -0.21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + 3*d**2)*(-d - d - 4*d + (2 + 0 - 4)*(-d - 1 + 1)).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 65*p - 134*p - 2 + 51*p. Let u(v) = 288*v + 33. Determine -33*k(x) - 2*u(x).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.5, 7\/3121 in increasing order.\nAnswer: -0.5, 7\/3121, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1063388*p**3 + 145*p**2 - 42*p.\nAnswer: -6380328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-35 - -48) + (-1 - 27)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*j**2 + 3*j + 2)*(4*j + 3*j + 3*j)*(0 + 0 + 2*j**2).\nAnswer: 40*j**5 + 60*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -63, -65, -65, -63?\n\"Answer: u**2 - 7*u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 14*o + 8. Let i(v) = 9*v + 5. Let w(m) = -5*c(m) + 8*i(m). Let r(q) = 4*q. Give w(r(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35437 is divided by 131?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**3 + 107*p**2\/2 - 2*p + 7. What is the first derivative of h(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 183\/13?\nAnswer: 183\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8042.1 times -17\nAnswer: 136715.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 - 1.8. What is the biggest value in 8, -2, g?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6600 and 14138300?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 4, -63, -0.5 in increasing order.\nAnswer: -63, -0.5, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29504, -29501, -29498, -29495?\nAnswer: -29492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(6\/(-3))\/(-18)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtfxmttlt. Give prob of sequence xl.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 567806?\nAnswer: 2271224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1471, -5889, -17653, -40435, -77907, -133741, -211609, -315183?\n\"Answer: -612*m**3 - m**2 - 131*m - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 1\/7 (c) 1 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 6*f**2 + f + 5. Let v(t) = -t + 1. Let g(w) = -2*w + 12. Let y(d) = g(d) + v(d). Let z be y(0). Is j(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/40)\/(1\/30). Find the common denominator of 55\/(-16) + (-2)\/2 and (-6)\/40*(-944)\/r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.3 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 5.135?\nAnswer: -1.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -485.85 to the nearest integer.\nAnswer: -486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 64 - 3*x**2 - x**3 + 6*x**2 + 130 - 62. Let p be w(-3). Let j = 90 - p. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 57760*i**2. Let m(k) = -3*k + 16. What is m(u(q))?\nAnswer: -173280*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)\/(g**(2\/111)\/g))\/(g**(-4\/9)\/g*(g*g\/g**(-12\/11))\/g) assuming g is positive.\nAnswer: g**(-1213\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346302*j - 240 = 17*n + 346310*j, -3*n = j + 44 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsqq. What is prob of sequence sqq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/13))\/m**(-1\/5))\/(m*m**(-16)*m*m**(15\/4)) assuming m is positive.\nAnswer: m**(3017\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2538.375 centuries?\nAnswer: 3046050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268125 is divided by 134?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -162*c + 161*c + 26. Suppose -20*l = 6*l - c. Are l and 17\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = 3*z. Suppose 0*l = -4*l + 5*b + 223, 0 = z*l - 3*b - 217. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 3)*((-2*t + t + 3*t)*(6 - 4 - 1) - t + 3 - 3 + (0 + 3 - 1)*(-2*t - t + 5*t) - 5*t - 5*t + 3*t) as o*t + k and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 10 + 45. Suppose -139*a + 90 + 42 = -7. Find the common denominator of 79\/40 and (-10)\/w + (1307\/(-110))\/a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - p = u + 5, 0 = -5*u - 4*p - 20. Suppose u*z = z - 9. What is the smallest common multiple of 1 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881947 divided by -1?\nAnswer: -881947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 226567 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/28 and 41\/1020?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/183893 - 8458028\/96543825. Find the common denominator of t and -32\/7.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*(-2)\/(-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -1331943.\nAnswer: 17\/1331943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5601911 is divided by 5601816?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15565, -19588, -26285, -35650, -47677?\n\"Answer: x**3 - 1343*x**2 - x - 14222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 1996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1696, 6692, 15054, 26776, 41852, 60276?\n\"Answer: -g**3 + 1689*g**2 - 64*g + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 317, 446, 541, 590, 581?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -53 + -5 + 0 + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:16 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 6*v**2 + 3*v - 6. What is the remainder when 23 is divided by r(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (120\/(-18))\/5*(-18)\/(-24). Let f be 2\/2 + -3 - -2. Which is the nearest to i? (a) f (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/747828 and 27\/32?\nAnswer: 5982624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*h - 784, -9*h + 13*h - 619 = -5*k. Suppose -33*o = 57 - h. Solve -o = z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1089, -2096, -3087, -4062?\nAnswer: -5021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13363, -26872, -40345, -53764, -67111?\n\"Answer: 3*p**3 - 13530*p + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101112 + 121220?\nAnswer: 1000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91424343163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26995 is divided by 150.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*f - 13*f - 17646 = -33*f. What is the highest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcys when four letters picked without replacement from sacccsysszcbcscsyzc?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:48 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128131365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2299 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -1\/4*l**5 + 16*l + 0 + l**4 + 0*l**3 + 0*l**2. Find the third derivative of b(y) wrt y.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170138, 340666, 511194, 681722, 852250, 1022778?\nAnswer: 1193306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*g = 2*g - 123, -z - 5*g + 33 = 0. Calculate the remainder when 144 is divided by (161\/42)\/z - 250\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27360 and 16125490?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 3*k**3\/2 - 44*k**2 - 301*k - 1. What is w(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -27. Put -1, u, -6 in ascending order.\nAnswer: -6, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m - 32 = a - 62*m, 0 = -a - 5*m - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 600000 = 2*a + 2*g, -5*g = a - 300000. Round a to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*z + 3*u - 3*u - 5*u + 520 - 498, -60*u + 180 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9)\/(1\/(-15)). Let d(q) = -4*q**2 + 17*q + 20. Let b(h) = -3*h**2 + 12*h + 15. Let x(j) = -7*b(j) + 5*d(j). What is x(g)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + (-2)\/3. Let y be -79 + -2*(-1)\/(-2). Let x be y\/44 + -2 + 4. Which is the closest to 0? (a) x (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 12*i**2 + 16*i + 12. What is p(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 11 + 5 - 39 + 12621*d + 14.\nAnswer: 12621*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.052871mm?\nAnswer: 0.000001052871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(g**2 + 0*g**2 + g**2) - 2*g**2 - 4*g**2 + 2*g**2.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 12. Let d be f(-9). What are the prime factors of (-1 - d\/2)*44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**5\/20 - 7*w**4\/12 + 4*w**3\/3 - 3*w**2\/2 + 4*w + 4. Let g(z) be the first derivative of l(z). What is g(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3)*p**8\/p*p*((p**(2\/11)*p)\/p)\/p**7)**42)**(1\/25) assuming p is positive.\nAnswer: p**(2394\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10683807 is divided by 3561267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*o**3 + 6*o - 2.\nAnswer: 972*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5443, 58, 0.7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265564148?\nAnswer: 2, 67, 101, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 75. Suppose p + 0 = 5*x. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -39 + (1 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 407*n**3 + 822*n**3 + 12361 - 417*n**3.\nAnswer: -2*n**3 + 5*n**2 + 12361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322 and 11988221?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 1. Let g = -143 - -141. Let j(q) = q**2 - 3*q - 4. Let c(p) = g*h(p) + j(p). Let b(t) = t**2 + t - 5. Determine 4*b(d) - 3*c(d).\nAnswer: d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 13*x**2 + 3*x - 57. Calculate the remainder when s(-14) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w + 14. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 54874440?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7924)\/(-18) + 16\/(-72). What is the greatest common divisor of t and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/7 + 2\/(-7). Let j(a) = -a**3 - 35*a**2 + 381*a + 14280. Let u be j(-34). Calculate the highest common factor of u and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 148 = 14 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/(-138))\/(72\/1200*(-8)\/18)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 93004802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*k + 66 = 0, -6*r + 68 = -r + k. Let u = 4 + 0. Let o be r*u\/(8\/11). Calculate the greatest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22167 * 19167.\nAnswer: -424874889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -5 (b) -3 (c) 3\/8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*j - 5*y, -2*y + 23 = j - 7. Let c = -19 + j. Find the first derivative of -c - 8*l**2 + 0*l**2 + 3*l**2 wrt l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7325400 by 1740.\nAnswer: -4210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-141)\/48)\/((-33)\/(-132)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32670 - -32686.2785. What is x rounded to 1 decimal place?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857 + 1333 = 5*u. Let f = u + -296. Suppose h + j - 25 = 0, 3*h + j = -j + 79. What is the remainder when f is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 248*p**2 + 251*p - 498.\nAnswer: -(p - 249)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -412915 divided by 307\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 4. Let n be f(4). Let v = -497\/6 + 83. Which is the closest to n? (a) v (b) -3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*-2)\/(sqrt(45)\/(sqrt(5) + sqrt(5)*-3)) + (4*(4 + (sqrt(11) - (sqrt(22)\/sqrt(2) + -4)) + sqrt(11)))**2 + -2.\nAnswer: 252*sqrt(11) + 1198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 269, 8, -1, 3 in descending order.\nAnswer: 269, 8, 3, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 5. Let v(a) = a**2 - 5*a + 2. Let g be v(2). What are the prime factors of l(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 13*t - 14, 180*c - 5*t = 183*c + 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 plus 0.049?\nAnswer: 199.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:09 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 10459.\nAnswer: 41836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 l, and 2 a when four letters picked without replacement from llllblllnlllnallabl?\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10021\/(-911) + (-3 + 4)*(2 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (76 + 13 + (-26 - (1 + 3))).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 77. Suppose -o = -28 + 24. Is 6\/o*(65 - i) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-2)*(1 + 2). Let o(w) = -w**2 + 11*w - 10. Let j be o(7). Calculate the highest common divisor of j and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c4d (base 16) to base 5.\nAnswer: 2122132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13667*o**5 + 789*o**2 - o.\nAnswer: 820020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-51)\/33)\/(-17) + (-1)\/11. Let n = -14\/19 + 192\/209. What is the nearest to s in n, 1, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 12. Let v be s(9). Which is the second biggest value? (a) 0 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/9 - 928*s**3\/9 - 105776*s**2\/9 + 48256*s - 48672.\nAnswer: -2*(s - 2)**2*(s + 234)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/3*(-9)\/(-5). Let p(v) = 10*v + 4. Is p(h) 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 5050?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/5 (b) -0.4 (c) -10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 + -130. Differentiate 90 + w - 48*r - 8*r - 48 with respect to r.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2871 = 21*p + 2136. Solve 3*x = -5*y + 10, -2*y + 3*x + p = -2*x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 1, a: 1}. What is prob of picking 3 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) -0.26 (c) 19032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 + 19*w**2 - 396*w + 3234. What is c(8)?\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -497236.81 rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/14)\/(24\/826). Let s = -181\/18 - c. What is the nearest to 0.1 in -1\/3, -2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 2:41 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (-20 + 3)) + -72.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/14 - 1404\/(-252)) + -2. Let k(m) = -m**3 + m**2 - 6. Let p be k(0). Let c be p\/(0 + -2)*5. Calculate the greatest common divisor of i and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5\/4, -0.1, 1, 0.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 21, -5 in ascending order.\nAnswer: -5, 21, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-176)\/(-24) - (-2)\/(-6). Let d(r) = r + 9. Let u be d(i). Let w be 4 - (-1)\/(-2)*2. Solve -w*f + u = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2770*a**5 - 343*a**3 + 21*a + 530739 wrt a.\nAnswer: 55400*a**3 - 2058*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*c = 8*c + 420, 0 = 3*p + 4*c - 284. What is the common denominator of -4\/27 and 2 - (3*-1 - p\/(-45))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 96 = -12*r. Solve 7*l - r = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1151*y = -1150*y + u + 3, 19 = -4*y + 3*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -131*p**4\/3 + 2*p**3\/3 + 2*p**2 + 3*p. Let y be x(-2). What is y rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:38 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -21?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 17. What is the second derivative of -2*t - 2*t - 3*t**5 + 3*t + w*t wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3*r + 0*r)*(-2 + 3 - 3)*((0 - 4 + 2)*(0 + 3 - 1) + 6 - 36 + 8 + 1 + 3 - 2) - 2 + r + 2.\nAnswer: 193*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4041 and 13021?\nAnswer: 117189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1332 and 4277178?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 501215634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -353*l + 3. Let k = -31 + 33. Let g be f(k). Let b = 1190 + g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171136584?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257676 to the power of 1\/2, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (732\/(-1525))\/(36\/(-30)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8395 and 29095.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3712*c - 21. Is j(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.31 - 803.\nAnswer: -824.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-2 - -1 - -9)) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 2, v: 1, q: 4, f: 2}. Give prob of picking 1 f and 1 v.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 888609 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 - 7\/(-14). Solve 3*c - 8 - 1 = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 352\/56 - 150\/14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from cbbbbcnccbc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053962 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 848, 2001, 3642, 5771, 8388?\nAnswer: 11493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3163633 - -3?\nAnswer: 3163636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose -4*r = -0*r - 8, -u*r = -5*s - 33. Does s = -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**3\/3 - b**2 + 6*b. Let g(q) = 3*q + 3. Let t(h) = -3*g(h) - 5*m(h). Differentiate t(y) with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) -10\/9 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (39 - -2)) + 8 - (-1 - -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7973 is divided by 50.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**4\/2 + 78*t**3 + 246*t**2 - 1968*t + 2304 = 0.\nAnswer: -48, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.15. Let h be (-16)\/264 - (-326)\/(-66). Which is the second smallest value? (a) 2 (b) h (c) 1\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24920546 divided by -77393?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5 + 89616*x**4 - 1005757960*x**3 + 42094544340*x**2 - 119244671478*x + 78155795484 = 0.\nAnswer: 1, 2, 39, 22383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-4\/25)\/(j**4)**(-8) assuming j is positive.\nAnswer: j**(804\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 23*k + 145. Let v be u(-6). Let b = 77 - -40. Let i = v + b. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1947069*a - 1745429 wrt a.\nAnswer: 1947069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -194 or 17\/3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s + 5. Let f = 57 + -40. Suppose 4*u + 3*g = -f, -4*u + g + 3*g - 24 = 0. List the prime factors of r(u).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 5*p - 2. Let c be n(-6). Suppose -3*q + 28 = -2*q - 5*o, o - 7 = -c*q. Does 8 divide q*1*104\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8255544.7 to the nearest one hundred thousand.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 935\/3 at least 313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 67. Suppose 0 = -b - 0*b + 2*j + 146, y*b - 573 = -3*j. What is the tens digit of (7\/(-14))\/((-2)\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipi when three letters picked without replacement from kiqqqqqpkqqqqi?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -397, -61 in increasing order.\nAnswer: -397, -61, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1256, -2654, -4052, -5450?\nAnswer: -6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/6 + 30\/(-108). Let w = 0.1335 + 1.8665. What is the nearest to 1 in 1\/2, p, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1554880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 528 + -528.748. Let c = -61.648 - b. What is c rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1189\/792 + -1\/792. Which is the fourth biggest value? (a) -1.9 (b) p (c) -6 (d) -1 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 733589 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 13240*a\/7 - 8383144.\nAnswer: 2*(a - 3038)*(a + 9658)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.33 in -1, 0.3, -0.22, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 2 - 11)*(2*d**5 + 4 - 4) + 2*d**4 - 2*d**4 + 2*d**5.\nAnswer: 30*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (17 - (3 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - 3*m + 0*m)*(72 - 22 - 22)*(-3*m**3 + 3*m**3 + m**3) to the form o + z*m**4 + x*m + b*m**3 + p*m**2 and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 13, e: 3}. What is prob of picking 1 t and 1 e?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2318303463 to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222001021211 + -12?\nAnswer: -222001022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34386 + 34394.8. What is the second smallest value in a, 3\/2, 2\/75?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13446698273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**7\/6 - c**5\/20 - 157*c**3\/3 + 21*c + 2. What is the second derivative of k(n) wrt n?\nAnswer: 140*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45634095 by -13.\nAnswer: -3510315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010101000011110011 (base 2) in base 6?\nAnswer: -124230003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 347332 divided by 546\nAnswer: 173666\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 361, 378, 421, 502, 633, 826?\n\"Answer: 2*x**3 + x**2 + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -4) + 29 - 4. Calculate the highest common divisor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 481, 942, 1403, 1864, 2325?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -1, -16, -39?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -559, 26653 in increasing order.\nAnswer: -559, 1, 26653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/30 + 2\/(-4). Sort -1\/3, y, -3 in increasing order.\nAnswer: -3, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610593 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172*j**3 - 61*j - 2*j**2 + 2 + 314*j**3 - 141*j**3 to the form v*j**2 + w*j**3 + a*j + k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -66*w**2 - 18*w + 7. Calculate g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -67*t**6\/15 + 337*t**2\/2 - 4*t + 5. Differentiate a(z) wrt z.\nAnswer: -536*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -338*c + 8. What is the hundreds digit of n(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.7, -8\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/8 and 21\/148?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5579, -5583, -5587, -5591, -5595?\nAnswer: -5599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46\/42 + (-2)\/3. Let u be (-2 - 3)*(-3 - 32\/(-10)). Which is greater: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/587349 and -9\/2156?\nAnswer: 180903492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 138*t - 3450. Let h(k) = -86*k + 2300. Give 8*h(v) + 5*q(v).\nAnswer: 2*v + 1150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535062330.\nAnswer: 2, 3, 5, 11, 43, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.04 - -8. Let l = w - 3.11. Let p = 0.15 + l. Is 3 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*c - 8*d + 5*d, -2*d = -3*c + 14. Factor 2\/5*v**4 + 12\/5*v**3 + 4*v + 6\/5 + 24\/5*v**c.\nAnswer: 2*(v + 1)**3*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 8:01 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/20 + 19*u**4\/6 + u**3\/6 - 19*u**2 + 889*u. Factor r(g).\nAnswer: -(g - 38)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**6\/360 + n**5\/30 + 2*n**4\/3 - 7*n**2\/2 + 10*n + 2. Let p(x) be the third derivative of t(x). Give p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2642 = l, -21*k - 5*l = -16*k - 4430. Is k a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/118 - 123\/1121. Let q be 3\/6 + (-3)\/2. Is g less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 330445546 - -11?\nAnswer: 330445560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (2 - (-2 + 6)). Suppose -4*k - f = 2*a, -5*a = -3*k - 2*k - 70. Let o = a - 4. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189937\/87 - 2183. Let q = 211717\/31 + -147305215\/21576. Let l = q - a. Find the common denominator of l and -63\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, -3, -639 in increasing order.\nAnswer: -639, -27, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 133004 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 130*y - 132*y. Suppose y = i + 9. Which is greater: 19 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/1 - -96)*-75*28\/(-126). What is the greatest common divisor of 496 and k?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w + 6. Let d(m) = m**2 + 4*m + 5. Let r(o) = 3*d(o) - 2*l(o). Suppose 8*j - 3*j = -25. Give r(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447006 < 447005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 1, b: 4, r: 3, t: 9}. What is prob of sequence vbdt?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**5\/20 - x**2\/2 - 10. Let y(z) be the second derivative of o(z). Let a(n) = -12*n**2. Give a(y(q)).\nAnswer: -108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**5\/20 + q**4\/4 + q**3\/6 + q**2 + 3*q. Suppose 7*v - 2*v - 25 = 0. Suppose -v*j + 12 = -j. What is h(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.088 take away 0.116?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - r + 47. What is the remainder when o(0) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -2.1\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/14)\/13)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -3, -4, -32, 611 in increasing order.\nAnswer: -32, -5, -4, -3, -2, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) -35.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(-10 - 1342\/(-132))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from {p: 2, i: 6, g: 1, q: 4}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/j**(-3\/14)*j)\/j)*j\/(j*j**(-14)))**3 assuming j is positive.\nAnswer: j**(579\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 13 + (-2 - (-3 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 2*j + c - 2, -2*j - 4*c = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 630?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44428, -44444, -44476, -44530, -44612, -44728, -44884?\nAnswer: -45086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -0.42490074\nAnswer: -0.07509926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1313*a**2*z**2 + a*z**2 - 94*a*z - a + 4*z**2 wrt a.\nAnswer: 2626*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500*z**4\/7 + 105550*z**3\/7 + 11409180*z**2\/7 + 9076552*z\/7 + 1811920\/7 = 0. Calculate z.\nAnswer: -781\/10, -2\/5, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 36 = -6*h. Suppose 0 = x - 2 - 2, h*v = -4*x + 34. Suppose -v*z + 10 = -z. Solve -9 = 4*j + o, -5*o - 3 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546055.3 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + 0.96. Let v = a - 0.02. Let z = v - -1. Round z to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-6864)\/6318)*(-11)\/(693\/(-14))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 949 - 954.91. Let x = p + 6.2. Round x to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*2*14\/(-8). Let o(i) = f*i - 6*i - 2*i. Let p(x) = 4*x. Let l(v) = 15*o(v) + 3*p(v). Let t(y) = -2*y**2. Determine l(t(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-18))\/(6\/126).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = 1. Suppose 3*o + u = 48, t*o = -o + 3*u + 48. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437 - 453. Let m be ((-40)\/w - 0)*-30. Which is greater: -0.04 or m?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 + 4685*s**2 - 1109080*s + 5428900 = 0. What is s?\nAnswer: 5, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 253 + -250. Let o(n) = 23 + 2*n**2 + 62*n - 124*n + 62*n - f*n**2 - n**3. Determine o(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*y - 51 - 1, 0 = -2*y + 3*s - 23. Put y, 0, 3 in decreasing order.\nAnswer: 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 87*q + 273. Let x be w(84). Let b = -38 - -122. Calculate the greatest common factor of x and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-200)\/(-16))\/(-5))\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:06 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 193222 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 2. Let b be l(-5). Solve 3*u - b*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11322923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168\/85 + -20\/17. Let w = -0.03 - -0.73. Sort j, w, -3.\nAnswer: -3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202 + -212. Let d be ((-360)\/(-14))\/(10\/(-700)*i). Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2112, 2114, 2116, 2118, 2120, 2122?\n\"Answer: 2*l + 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52171 and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + (-310)\/(-50) + (-133238)\/(-10)?\nAnswer: 2, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 6*h - 9. Suppose -2*i + 18 = 2*p, 11*i - 8*i - 13 = -p. Determine b(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 287107\nAnswer: 49\/287107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 + r + 1. Let c be p(0). What is the derivative of 22*x**4 - c - 27*x**4 + 4 wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 24*v = -14. What is the second smallest value in v, 80, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 + 3. Suppose -5 = -5*m - 0*m, -u = -3*m + 9. Let p be u*(0 + 2\/(-20)). What is the closest to -1.2 in w, 4, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.0448, 1\/7, -3\/13?\nAnswer: 0.0448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 17*g - 2101 = 0. Let z = g - -328. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 - 6*a**2 - 5*a + 23. Let z(n) = -6*n**3 - 11*n**2 - 11*n + 45. Let u(c) = -11*b(c) + 6*z(c). What is the derivative of u(o) wrt o?\nAnswer: -9*o**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 173, 341, 509, 677, 845?\n\"Answer: 168*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 8:38 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129\/240677 or -1?\nAnswer: -129\/240677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -0.18?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - z**2 + 0*z**2 + 46 - 46.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + (-35)\/6 + -3 and 17\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7763*y**2 - 3887*y**2 - 3883*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (8140\/(-12320) - 2\/(-7)). Let k(s) = -s**2 + 7*s - 2. Let g be k(6). Which is the closest to -6? (a) l (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from mgcdmmcycbd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/((-6)\/(-27)). Let z = 5 - o. Find the second derivative of -b**3 - 4*b**z + 5*b + 4*b**2 + 3*b**3 wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10245 = 4*x - 3*u, x - 2565 = 6*u - 9*u. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3871830 rounded to the nearest ten thousand?\nAnswer: -3870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**2 - 2*k + 1. Let m(h) = -17*h**2 - 5*h + 3. Suppose 2019*u = 2029*u - 40. Determine u*m(y) - 9*f(y).\nAnswer: 4*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**2\/d)\/d)\/d*(d*d**(6\/7)*d)\/d*((d**7*d)\/d)\/d*d\/(d*d**(2\/9)\/d*d) assuming d is positive.\nAnswer: d**(481\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/389 (b) 0.16 (c) -1.55 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 4:33 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -110375?\nAnswer: 110377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (2 + 3)) + 4 + 2 - (-3688 - -3715)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(sqrt(704) + 0 + 4 + sqrt(704))**2 + (6*-4*2*sqrt(704))**2) + 0.\nAnswer: -3261024 - 768*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n = 5*c + 2, 0 = 3*n - 3. Suppose 5*u + 6 = i, 3*i - u - u - 5 = c. Calculate the smallest common multiple of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + n**2 + n + 5. Let v be h(0). Let t be (2\/(-3))\/(v\/(-15)). Suppose -t*f = -3 - 5. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10762, -43769, -98770, -175759, -274730?\nAnswer: -395677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1303, 866, 205, -674, -1765, -3062, -4559, -6250?\n\"Answer: d**3 - 118*d**2 - 90*d + 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m = -95*m - 625 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 302504657*t**6 + 150067*t**2 - 407*t.\nAnswer: 36300558840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-894)\/(-2533) + (-374464)\/(-34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252568?\nAnswer: 2, 131, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {j: 3, p: 4, f: 2, b: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 22*h**2 + h + 8. Give s(-22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*x - 5*x - 5*g, 2*x = -g + 9. Suppose x*n - 612 + 63 = 0. Calculate the remainder when n is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34 + -1)*(-216)\/(-20). Let k = o + 380. What is the greatest common divisor of 13 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 3*f + 1. Let r(y) = -y + 1. Give -2*h(p) + 6*r(p).\nAnswer: 4*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -99 + 91 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108472 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000828927 to 5 dps.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 330\/25 + -7. Let f = -6 - -4. Which is the smallest value? (a) i (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5825000*w**2 + w + 2. Let i(b) = 11650000*b**2 - 2*b - 4. Let y(k) = -7*h(k) - 4*i(k). Let a be y(-2). Round a to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*u + 12, 2*d - 3*u = -2*d - 9. Suppose 4*o = 7*o - 2*s - 18, d = s + 3. Solve -g = o*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((-26)\/260 - (-1 + (-295)\/(-150))).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747922 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159575 + 159575 + 2444*c + 384*c to the form b*c + n and give b.\nAnswer: 2828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xibbbxlpxbbblixblbx. What is prob of sequence xiib?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (4 - 2)) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/90 and -59\/241110.\nAnswer: 241110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -635.7831357 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 5}. Give prob of sequence ngg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**5\/60 + j**4\/8 - j**3\/3 - j**2\/2 - 2. Let c(o) be the second derivative of f(o). Factor c(k).\nAnswer: -(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*z**4 - 1107*z**2 - 161348*z wrt z.\nAnswer: -624*z**2 - 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2 - 0) + 3. Suppose m*s + 0*s = 93. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5049, 10067, 15085, 20103?\nAnswer: 25121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**13\/k)\/(k*k*k\/k**(2\/11)))**(-11\/4)*k*((k*k\/(k\/(k\/k**(1\/4)))*k)\/k)\/k*k*(k*k**(2\/11))\/k*k**(-2)*(k*(k*k*k**6*k)\/k)\/k*k assuming k is positive.\nAnswer: k**(-337\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Suppose b*f = 223 + 153. What is the remainder when f is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/3 + 20*q**2\/3 - 46*q\/3 - 88 = 0.\nAnswer: -11, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8 = -m, 3*o + 0*o = 3*m. Let g = m - 0. Suppose 5 - 14 = -3*d, 2*d + 18 = g*k. What is the smallest common multiple of k and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5284)\/(-22) + 44\/(-242). Let c be (o\/45)\/((-1)\/(-3)). Solve 3*n + n = -c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3130 (base 4) to base 14\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 20829316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21114 + 21111. What is the closest to b in -10, -1\/32, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 311348*k\/3 - 24234394276\/3.\nAnswer: -(k - 155674)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 3, -1 in decreasing order.\nAnswer: 3, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176536930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 923 - (8\/(-5) + (-60)\/(-100)). Is f smaller than 924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.208796 to 3 decimal places.\nAnswer: -0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 25*b - 35 + 110 - 2*b**2 + 2*b**2.\nAnswer: 2*b**2 - 25*b + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -543\/5 + 4359\/40. Suppose -l - 6 = -3, -5*z = 5*l + 45. Which is the smallest value? (a) z (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 5}. What is prob of sequence rfrr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = b + 5*s - 18, s + 96 - 76 = -23*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13158407491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 9*t + 4. Give w(-6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 13425*g + 120797. Calculate j(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let z(l) = 9*l + 1. What is 6*c(y) - z(y)?\nAnswer: -15*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33222, -66444, -99666, -132888?\nAnswer: -166110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86*k**2*o*w - 246*k**2*o + 215414*k**2*w**4 - 495*k + 26*o wrt w.\nAnswer: -86*k**2*o + 861656*k**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24502*d - 45785*d + 27741*d - 95838*d - 159656*d.\nAnswer: -249036*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*s**2 + 1 - 2*s**3 + 8*s**2 - 6*s**2 - 6*s**2 to a*s**2 + h*s + v*s**3 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 3:40 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216572.353 + 216830. Let q = c - 253.64673. Let t = q - 4. Round t to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 25 - 5073\/(-285). Sort m, -1\/7, -4, 1624, 2 in descending order.\nAnswer: 1624, 2, -1\/7, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3395077302.\nAnswer: 2, 3, 37, 15293141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1 + -6 + 28. Suppose j*r = 21*r + 42. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Suppose -o - 4*o = -3*f + 30, -y = -2*o - 2*f. Let j = 8 + -7. Which is the biggest value? (a) 0.3 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 0*z**3 + 3*z**3 + 4*z - 4*z + 2*z**3 + (1 - 1 + z**2)*(2*z - 1 + 1) - 2*z**2 + 2*z**3 + 2*z**2.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/46940 and -87\/4?\nAnswer: 46940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 25 = -3*x + 5*x, -2*g = -3*x + 5. Is (x\/(50\/(-6295)))\/(1\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*c = 2*c + 14, -2*c + 12 = -4*f + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -72. Suppose -29 = 4*s - 5*t, 5*s + 5*t - 9 = 11. Which is the second biggest value? (a) y (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -202, -336, -458, -568, -666, -752?\n\"Answer: 6*i**2 - 164*i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 14 + -6 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 399147.5 centuries?\nAnswer: 39914750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - 5.8. What is the closest to 1 in x, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1126906 + 7*f**3 + 1126906.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, 0.1, 0 in ascending order.\nAnswer: -0.3, 0, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478 divided by 177?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -295*d*h**2*v - 5*d*h**2 + d*v - 35*d - 27*h**2 - 2*h - 18*v + 2 wrt h?\nAnswer: -590*d*v - 10*d - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*l + 4, -l - 4*v = -7*v - 16. Solve 1 + 15 = l*j + 5*x, -3*j - 3*x = -9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/482023, 0.1, 6, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 560161052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-4\/17)\/y)\/y)\/(y\/(y*y**(30\/13))) assuming y is positive.\nAnswer: y**(237\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13723\/4 - 7\/(-8 - 20)?\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 16*k - 14. Let d be t(7). Solve 6 = 2*q - d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1629 and 9?\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 225, 267, 335, 435, 573, 755, 987?\nAnswer: 1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26984957 rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73759*f*j**2 + 3*f*j - 39213*f + 2*j**3 wrt j?\nAnswer: -147518*f + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.767653m to kilometers.\nAnswer: 0.008767653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186.1912 milligrams to tonnes.\nAnswer: 0.0000001861912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4\/3 (c) 5 (d) 2784 (e) 1\/2 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2215412142 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhohhhhhoho. What is prob of picking 2 h and 1 o?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21900 and 202050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/24 + 2*a**3\/3 - 38*a**2. What is l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24300*s + 32017?\nAnswer: 24300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3220230.99984 + 3220469. Let t = -238 + l. Round t to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 4*w**2 + 12*w + 29. Suppose 257*y - 270*y = 39. What is s(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 504, -2\/5, 1\/8, -3\/4, 59?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 877*g**3 + 2*g**2 - 2*g - 1. Let b(n) = -878*n**3 - 3*n**2 + 3*n. Determine 2*b(a) + 3*v(a).\nAnswer: 875*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70109445 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*2)\/(1*sqrt(242)) + 3 + (sqrt(85) - -2*sqrt(85))\/sqrt(5) + -1.\nAnswer: 2 + 39*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Solve -3*a - 1 - g = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -166394, -166405, -166416?\n\"Answer: -11*l - 166383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -1 - 11. Solve 5*a + 2 = -m*b, 4*a - 2*a = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21553*n**5 + 6*n**4*v**3 - 2*n*v**3 - 61178*n*v**2 wrt n?\nAnswer: 431060*n**3 + 72*n**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -553*t**2 - 4*t**3 - 18496 - 1810*t - 434*t + 3*t**3 + 469*t**2.\nAnswer: -(t + 16)*(t + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8*(3 + -15). Let u be (-1 + 2)\/(d\/72). Which is smaller: u or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 (base 7) in base 12?\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -25*x**8\/112 + x**5\/20 - 5*x**3\/3 - 3*x**2 - 3*x. What is the third derivative of z(s) wrt s?\nAnswer: -4500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -6 (b) -5 (c) 17\/18 (d) 1 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 55. Let m be (4 - 1)\/((-6)\/(-52)). Let i = g - m. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2753224*a + 2753178*a - 1104 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.464 - -5.514. Which is the smallest value? (a) 40 (b) -1\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*-43\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -424 + 5*o + 0*o + 424. Let i(d) = 5*d - 1. Let q(a) = 7*i(a) - 6*x(a). Differentiate q(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(343))**2 + sqrt(343)) + (sqrt(42)\/(sqrt(12)\/sqrt(2)*3))**2 + ((sqrt(252)*1)\/sqrt(6))\/(4*sqrt(54)) + -1.\nAnswer: -6194\/9 + 169*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.3 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33312 is divided by 10785.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65917?\nAnswer: 29, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5 - 4) + -1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - 13*r**2 - 6*r - 5. Let w be l(-5). Suppose 2*u + u = w. Solve 5*s = u - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3879 and 5208?\nAnswer: 6733944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0900331.\nAnswer: 0.01800662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3149, 9.4, 1\/4 in decreasing order.\nAnswer: 3149, 9.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 190*s**3 + 3 + s**2 + s**2.\nAnswer: 190*s**3 - s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m**5 - 4\/3*m**6 + 0*m**4 + 0*m - 4*m**3 - 4 + 0*m**2. What is the third derivative of d(u) wrt u?\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.47, 1\/2, 4 in descending order.\nAnswer: 4, 1\/2, -2.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -1, -2405 in increasing order.\nAnswer: -2405, -1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - 26*h**2 + 1 + 26*h**2)*(-3*h + 1 - 1 - 5 - h + 5 + (1 - 2 + 0)*(0 + 0 - 2*h)).\nAnswer: -4*h**5 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76) + -3 + 0 + sqrt(76) + 0 - ((sqrt(19)*-2 - sqrt(19)) + sqrt(19) + 2 + 4 + -2 + sqrt(19)))**2.\nAnswer: -70*sqrt(19) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -2, -3, -38557, 8 in decreasing order.\nAnswer: 8, 3, 1, -2, -3, -38557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.9, 0.1, -2\/5, -0.5, 0.02, 80?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f + 85. Let v(i) be the second derivative of -i**3\/6 + 6*i - 393. Calculate j(v(z)).\nAnswer: -10*z + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29 - -17 - -18) + (-34)\/6. Let c = -0.6 + 0.9. Sort -4, v, 5, c.\nAnswer: -4, c, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 27.4. What is the nearest to -0.2 in -2, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4003738 or -4003780?\nAnswer: -4003780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 8*g**2 - 13*g + 7. Let h be 41\/(-3) - (-13)\/(-39) - -4. Give p(h).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305523 divided by 3.\nAnswer: -101841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 358003 + -72674919\/203. Let n = -36\/29 - b. What is the third biggest value in 2, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 1:11 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpvggpgvpgpgppvv. Give prob of sequence ggvp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4807 (base 15) to base 16\nAnswer: -3bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19294 divided by -1754.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3.88592+-740.825\nAnswer: -744.71092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 3)*(3 + 4*s - 5 + 3).\nAnswer: -28*s - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18418 + 71529. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 2*l**2 - 6*l - 4. Let r be q(-4). Let m = r - -18. What is the common denominator of (-243)\/m - (-2 + 3) and -137\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 3*x - 300, 0 = -3*x - 4*m + 314. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 15, -2*l + 1157610 = 3*g - g. Round g to the nearest 10000.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - -1*sqrt(66)))*3)\/((sqrt(384) - (sqrt(384) - (sqrt(384) - (sqrt(384) + 2*sqrt(384))))) + sqrt(384) - sqrt(384)).\nAnswer: -9*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283737 is divided by 1923.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10*j = -14*j - 26310, -2*v + 26304 = -2*j. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2898224980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*t + 2*t - 10, -5*p - 6 = -3*t. Suppose 0 = -8*k + 9*k - t. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216641328 divided by 2748?\nAnswer: -78836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**4\/s))\/s**(-6\/5) assuming s is positive.\nAnswer: s**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -18. What is the least common multiple of (29 + -24)*96\/20 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0*q + q + 17, 0 = -4*x + 4*q + 36. Let n be ((-58)\/8 - -7) + 1762\/x. Let c = n + -107. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/20 + 1863\/690. Let a(c) = 10*c**2 - 2*c - 6. Let f be a(6). Suppose -o*k = 6*k - f. Calculate the highest common divisor of 57 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**3\/3 + 70*b**2 - 22*b. Calculate the remainder when i(17) is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - h + 0*h + 308 = 0, 614 = 4*a + 3*h. Calculate the remainder when (0 - -1)*488\/4 is divided by (-2)\/((10\/a)\/(-1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*f**2 + 1940*f - 1940*f)*(7 + 1 - 2) - 3*f**2 - 2*f**2 + 22*f**2 to the form y*f + b + v*f**2 and give v.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = 25. Let c = u + -5. Solve c = 5*q + 5*z + 25, 4*q - 3*z + z = -8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/34 - ((-5400)\/51 - 2). What is the greatest common factor of 8 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 23*c - 22. What is v(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 172*h**4 - 41?\nAnswer: 688*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -12, 92, 240, 438, 692, 1008, 1392?\nAnswer: 1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 15 - 7 + 867*c**3.\nAnswer: 867*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -77. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(792) + (-6*sqrt(792)*-1 - sqrt(792)))\/(sqrt(4)\/(sqrt(10)\/(sqrt(15)\/sqrt(3)))).\nAnswer: -4 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 3*p**2 - 8*p + 35. What are the prime factors of w(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-108)\/28 + 3)\/((-4)\/14). Factor 4\/3*m**2 - 2\/9*m**w - 8\/3*m + 16\/9.\nAnswer: -2*(m - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2) + 0 - 1. Let c = -397 - -426. Let z(r) = c*r - 1 + r**2 - 59*r - 2 + 33*r. Calculate z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111)\/(-148))\/(9\/(-84)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -21. Let p be 34\/21 - z\/(-28). What is the smallest value in -4, p, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 186 or 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18407909.54386918 + 0.45613082. Let m = -18407910.09999991 + z. Let j = m - -0.1. What is j rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (4*-1*sqrt(70) - sqrt(70)))\/(1*sqrt(180)))\/(sqrt(6)\/(sqrt(9)\/sqrt(3)) - 3*sqrt(128)).\nAnswer: 2*sqrt(7)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3976 or 0.2?\nAnswer: -3976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16419106 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 9*v - 19. Let l(r) = -9*r + 18. Let u(c) = 4*l(c) + 3*t(c). Let p(a) = 5*a - 8. Determine 11*p(k) + 6*u(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbbtbttttbbbb. Give prob of picking 3 t.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 3739?\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 != 803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/112*80\/(-60).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 361 or 362?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)*o)**26)**44\/(o**(-3\/8)\/(o*o\/(o**(4\/9)\/o*o*o))*((o**(-1\/2)\/o)\/o)**(-19)) assuming o is positive.\nAnswer: o**(106471\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 865 a factor of 3998948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-50 - -2) + (-46)\/(-12). Let d(s) be the third derivative of 0*s + 1\/24*s**f + 5\/6*s**3 + 0 - 3*s**2. What is the first derivative of d(y) wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = -3*a - 0*a, -6 = a - q. What is the units digit of 24*((-14)\/a + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 9*r**5\/2 + 5643*r**4 - 51114*r**3 + 142051*r**2\/3 - 92191*r\/6 + 1684 = 0?\nAnswer: -1263, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(6*sqrt(30)\/sqrt(5)) + ((sqrt(3) + -1)**2 + -2 - (-3 + sqrt(3)*2)**2).\nAnswer: -19 + 61*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*k**2 + 72*k**2 - 145*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnl when three letters picked without replacement from {g: 6, l: 1, n: 2, m: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169123883\/618 - 273663. Find the common denominator of w and 89\/20.\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.79 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3163267.18 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.219 - -0.259. Let l = -1\/2 - -1\/10. Is i <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 598 - 177. Let s = w - 421.00692. What is s rounded to 4 decimal places?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -55\/439?\nAnswer: -55\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**6\/120 + d**5\/60 - 11*d**4\/24 + d**3 - 14*d**2. Is b(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 190858250 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10534 is divided by 2052?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 37*m + 18. Determine d(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 293, -326, -945, -1564, -2183?\n\"Answer: -619*r + 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 2*h, 2*q = 2*h - 14. Let z be 3\/(-1) + 104\/40. What is the nearest to 1 in z, -3, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 0.2. Let u be (-4)\/(-42) - 130\/42. Let y be (-4)\/8 + 2\/(-4). What is the nearest to y in s, u, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279132350.\nAnswer: 2, 5, 7, 17, 43, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3560.1 to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92.4 - 96.4. Let s = -10 - -7. Let v be (2 + (-42)\/20)\/((-4)\/16). What is the closest to 2 in v, s, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*l - 6. Suppose l*m = 1 + 17. What is the highest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1288*q - 7725. Let p be i(-6). Solve -l - l - 14 = -3*m, -5 = -p*l - 2*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*i - 19489 - 4991 = 0. Calculate the greatest common divisor of 2958 and i.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 57. Let w be j(17). Let k(c) = 2*c - 15. Let d be k(w). Which is greater: d or -28?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f = -41*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*q + 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1957 (b) -0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (13811*m**4 - 46*m**2 - 13813*m**4 + 148*m**2)*(5 + 12 - 6)*(1 + 5 - 4) as b*m**4 + a + l*m**3 + k*m**2 + r*m and give k.\nAnswer: 2244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:58 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39*(-8)\/(-24) + 1. Suppose -m*h + 2*a - 2 = -17*h, -5*a = -20. Let q(b) be the first derivative of -2*b**3 + b**2 + 2*b + 1. Determine q(h).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 4345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73021 and 110833?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 3:38 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - -201120222022010?\nAnswer: 201120222022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(102))\/sqrt(6) + -3 + (sqrt(17)*2)**2*-2 + sqrt(17).\nAnswer: -139 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33748980 to the nearest integer?\nAnswer: 5809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 141820413 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009196879 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 + 2*h - 6. Let i be j(4). Let f be i - 2\/2*1. Is 15 a factor of 1\/(f\/30 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120222303100 + -220?\nAnswer: -120222303320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5160 and 850360.\nAnswer: 109696440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 18*n**2 + 2*n - 7. Suppose -4 = 2*r + 2. Is p(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2\/3 + 41255*x - 865620 = 0. What is x?\nAnswer: 21, 24732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-506)\/(-9) - (1 - (-84)\/(-108)). Let p = j + -8. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269600 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/39 and -43\/3135.\nAnswer: 40755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 37*h = -4. Suppose -3*c - 2 = p + h, 3*p = 4*c + 30. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g - 21*g**2 + 39 + 24*g - 39*g as c*g**2 + v*g + y and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 226548510*p - 49423773.\nAnswer: 226548510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 3*n**2 + 8 + (2*n - 3*n + 0*n)*(-261*n + 149*n - 263*n) to the form x*n + q*n**2 + l and give q.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 31*m - 177. Let h be l(5). Let c(b) be the second derivative of 16\/3*b**h + 4*b**2 + 1\/2*b**5 + 17\/6*b**4 + 0 + 32*b. Factor c(w).\nAnswer: 2*(w + 1)*(w + 2)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*b**5 - 34085*b**4 + 6*b**2 + 93*b + 1589016 wrt b?\nAnswer: -2960*b**3 - 409020*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/(-20) - (-4)\/(-20). Suppose 2*z - m*a + 10 = 4*z, 3 = -a. What is the least common multiple of z and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(0 - -6))\/((-1)\/5)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1075122 - 1075122 + 4144*h in the form b + m*h and give m.\nAnswer: 4144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 + 12860*i**2 + 2406768*i = 0?\nAnswer: -182, 0, 6612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123 and 24?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 101110111101011001011101?\nAnswer: 101110111101011001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppftfftp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.62068432 to 2 dps.\nAnswer: -37.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216 - -312. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*g + 4*c, 2*c - c = -3*g - 16. Let b(l) = l**2 - 7*l. Determine b(g).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6523985 is divided by 3261981.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*y**2 - 2197000\/3 + 1\/3*y**3 + 16900*y.\nAnswer: (y - 130)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55351 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 1. Let l = -2 + 3. Let z(q) = q**3 + 4*q**2 + 6*q + 8. Suppose -21*x - 21 = -14*x. Let s be z(x). Let m(p) = p + 1. Calculate l*m(j) + s*f(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -103*r - 1. Let p(v) = 21*v. Give t(p(m)).\nAnswer: -2163*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 74. Suppose i*g + 1 = 7. What is the third smallest value in g, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 21*f**2 + 21*f + 19. What is a(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 3*f**2 + 4*f + 3. Let y = 37 + -41. What are the prime factors of u(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000001100011101 (base 2) in base 9?\nAnswer: 1318871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -52*n + 179. Let d be k(-12). Suppose 0 = 3*i + 794 - d. Let j(h) = -h**2 + 3*h - 3. What is j(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apl when three letters picked without replacement from {j: 2, l: 7, p: 1, a: 2}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Suppose -5*l - w = -55, -34 = -k*l - 2*w - 1. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 1 - 3*y + 4*y**2 + 4*y to l*y + p*y**2 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240006.09ns in minutes?\nAnswer: 0.0000040001015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56209, -55931, -55653, -55375?\n\"Answer: 278*s - 56487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2\/3, 3.64.\nAnswer: -2\/3, 0, 3.64, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23 - -8)\/(3\/(-4)). Calculate the least common multiple of 3 and 3\/(-6)*i\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34 - (-11 + 13 - 2\/(-1)). Calculate the common denominator of o\/225*(-12 - 2) and -74\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55795*i**4 + 12050*i + 12 wrt i?\nAnswer: 669540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h**(-9)*h))\/h)\/h*h)\/h*h**(-1)*h assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80108515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 25\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 7, d: 1, o: 6}. What is prob of picking 1 a and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-45) - 2\/6. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 40?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20)\/(-16))\/(15\/18)*190392\/12?\nAnswer: 3, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0649 from -2022809759.\nAnswer: -2022809759.0649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 + 336*k - 2303 = 0. What is k?\nAnswer: 7, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/25883 and -20\/11.\nAnswer: 25883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 13. Let y(n) = -2*n**2 - 7*n + 3. Let r be y(-5). Let l be v(r). Suppose 0 = 4*j + 11 - 27. Put 2, l, j in decreasing order.\nAnswer: j, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/143 and 69\/55.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/28)\/(115\/138)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-720)*-8)\/(5\/25)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 105151.44 months to centuries.\nAnswer: 87.6262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993445 to the power of 1\/2, to the nearest integer?\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*c - 5*j, 2*c - 2*j = 2*j + 16. Let o(s) be the second derivative of 1900*s**3\/3 - s. Let m be o(c). What is m rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(7) - sqrt(112)) + -4 + sqrt(84)\/(sqrt(60)\/(sqrt(10)\/sqrt(2)) + sqrt(12)) + 4 + -3*((-1 + sqrt(7))*-5)**2*6.\nAnswer: -3600 + 1789*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most as big as 22\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1188.4 + -1033.3. What is the closest to 0.6 in -0.2, 2\/19, l?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15387525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 105582 - 51588 = -28*q. What is the smallest common multiple of q and 2028?\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 409, 929, 1665, 2623, 3809?\nAnswer: 5229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) -8373 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 40623600 to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313129, 313162, 313195, 313228, 313261, 313294?\nAnswer: 313327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3105 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-624)\/(-39) + 22\/(-2). Solve 0 = -m - 5, a + k*m - 3*m = -12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2724415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7378 divided by -46.\nAnswer: -3689\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 4)*(2*z + 1 - 1 + (-2*z + 1 - 1)*(2 - 2 + 3)) to the form k + c*z and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2074 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 10 = -2*a, 0 = a - k + 4*k - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 8. Let b be u(4). Suppose -j + b*j + 222 = 5*g, 2*j - 2*g - 432 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38029.081372 + -38029. Round l to 3 dps.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-77)*(32\/(-10))\/8?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 324 = -4*l. Suppose -36 = -3*i - 48. Let p(c) = 2*c**2 + 5*c - 3. Let m be p(i). What is the highest common divisor of l and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-230780)\/440*(-1*1 + -1)?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -g. Let n be (6\/(-4))\/(g\/(-2)). Factor 3*t - 8*t**2 - 3*t + 2*t - 8*t**4 + 12*t**n + 2*t**5.\nAnswer: 2*t*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25804533 to the power of 1\/2, to the nearest integer?\nAnswer: 5080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*r**5 + f*r**2 - 4*f*r + 9*f - 502739*r**6 + 3*r**2 wrt r?\nAnswer: -180*f*r**2 - 60328680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**(-2\/5)*h)\/((h\/(h**2*h*h))\/h)*(h**(-2\/9))**(1\/15))\/((h*h**(-2\/9)*(h*((h\/(h**4\/h*h))\/h)\/h)\/h)\/(h**1)**(-8\/5)) assuming h is positive.\nAnswer: h**(1378\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20727 - -0.2938365682.\nAnswer: -20726.7061634318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 14 - -13)*(-348)\/6090?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 m when three letters picked without replacement from {j: 10, m: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dd (base 14) to base 7.\nAnswer: -1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 5*h + 10. Suppose 0 = -2*s - 3*z, -2*s + 3*z + 15 = s. Let o be (1\/s)\/(4\/36). Solve -2*c - 4*k - 10 = -0, -h*c = -o*k - 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-881250)\/(-9))\/((-4)\/(-1152)). What is s rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f**3 - 13*f**2 + 3*f**3 - 13*f**3 to the form k + v*f + m*f**3 + r*f**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -3 + (6 - 10) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -390 - -266. What are the prime factors of b\/(-10) + (-8)\/20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, 488, -1\/97?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5572266 a multiple of 733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -68633, 0, -4.\nAnswer: -68633, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 31 = 4*b, -2*j = b - 6. Let d(y) = 0*y**2 - 7*y**3 + 1 - y**2 + 0 - 8*y**3. Let t be d(-1). Solve -q + 29 = -2*x - 3*x, j*q - t = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 7*y - 20. Let l be h(-2). Solve -5*m - 30 = -5*t, -l*t - 5*m - 28 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7582605 less than 3551?\nAnswer: -7579054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 5*w + 5. Let j be g(-5). Suppose 3*h + 22 = -3*t + 76, -4*t = -j*h - 27. What is the highest common divisor of 91 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -620?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 1.005\nAnswer: -0.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4324348884 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6548569.96 to the nearest 100000.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156) + 1*-2*sqrt(156) + sqrt(156) + sqrt(156))\/(1*sqrt(432) + sqrt(12)).\nAnswer: 2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(153) - (sqrt(68) + 1 + sqrt(68))) + 4 + (-3*(sqrt(85) - (sqrt(85)*-1 + sqrt(85))))\/sqrt(5) + 4)**2.\nAnswer: -88*sqrt(17) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 287050 or 287047?\nAnswer: 287050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 2*h**3 + 2*h**3 + 2*h**3 + 0*h**3 - h**3 + (0 + 2 - 3)*(2*h - 2*h - 2*h**3) - 9070*h**3 + 18192*h**3 - 8954*h**3.\nAnswer: 169*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.209+-0.16339694\nAnswer: -1.37239694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 - (7 - 1 - 5). Suppose -10*h = -73 - i. Solve 0 = 14*p - h*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23553, -47111, -70671, -94233, -117797, -141363, -164931?\nAnswer: -188501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5414769*t + 9975 = 5414902*t for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/11)*p)\/(p**(-6)*p))\/(p**2\/p**(1\/4)))\/((p**(-2)*p)**(-24)*(p\/p**(-1))\/p**8) assuming p is positive.\nAnswer: p**(-569\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -450.8416 to the nearest 10.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 8 - 5\/9*o**3 + 5\/6*o**2 + 10\/3*o. Suppose w(u) = 0. What is u?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 4 - 4)*(-44 + 25 + 2*f + 36 + 19*f**2).\nAnswer: -19*f**4 - 2*f**3 - 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 154936259 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 3. Suppose -18 = -0*v + 3*v. What is u(v)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**6\/2 + 3*v**5\/5 - 3*v**4\/4 - v**3 + 5. Find w, given that x(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 3\/5, 5, -0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*g - 1 - 11*g**4 + 2*g**4 - 85*g to the form d*g**3 + q*g + c + p*g**2 + i*g**4 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - a. Let z be ((0 - 1) + -1)\/2. Let b be q(z). Suppose -b = -5*j + 56. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 + 722*g - 722*g.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/1512*36)\/((-2)\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = -h. Let t = h + 22. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.42645581 rounded to one dp?\nAnswer: -123.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.138, -100, 0.5, 4 in ascending order.\nAnswer: -100, 0.138, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409 - -387.9. Let h = 20.1 + m. Let f = -4 + 6. What is the closest to 0 in f, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/50*16\/12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -2\/3, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*c - 3*x + 252, 2*c - 3*x - 72 = 0. Let o be 36\/6 + c\/(-48). Suppose 69\/4*s**3 + 0 + 3*s - o*s**4 - 15*s**2 = 0. What is s?\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6242, -12782, -19320, -25856?\n\"Answer: f**2 - 6543*f + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 - 834 = 75*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/((-6)\/(-108)). Let f = -5 - -6. Suppose -4*w = 2*o, 5*w - 4*o - f = 25. Solve 0 = -z + y + 1, -w*z - k*y - 18 = -3*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nedeedeedd. What is prob of sequence ee?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3051311 or 0.1?\nAnswer: -1\/3051311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151606 and 476.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -c6 (base 14) to base 2\nAnswer: -10101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 3*a**2 - 3*a - 1. What is the units digit of r(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.98 + 0.980196. Round a to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0892562 decades?\nAnswer: 10.710744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, l: 2, a: 8}. What is prob of picking 4 a?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 - -95. Let w(a) = -68*a - 11. Is w(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516030 (base 7) in base 10?\nAnswer: 88515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -92 (b) -10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2699*r**2 - 6*r. Let x(u) = -49*u. Calculate o(x(y)).\nAnswer: 6480299*y**2 + 294*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0552 and -5.\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**2*m**2 + 3*d**2*m - 2*d**2 - 3009*d*m**2 - 1886*d*m - m**2 wrt m.\nAnswer: -8*d**2 - 6018*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 8*i + 365 = -317 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = 2*m - 22, -3*m + 4*h = 5. What are the prime factors of 1 + 93 + -6 + 1 + m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 2 + 43\/(4773\/(-740)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 4, 1\/4, -82, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84644, -84625, -84606, -84587, -84568, -84549?\nAnswer: -84530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210 - 206. What is the remainder when 7 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w + 1. Let k(z) = -5*z - 1. Calculate -4*h(s) - 5*k(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/405 and 28\/25.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2047 + 7*j + 1021 + 1026 + 513*j**2.\nAnswer: 513*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 7*l - 10. Let s be v(-4). Does 18 divide (-24)\/((8\/36)\/(s\/9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12219*j = -12106*j - 10622 for j.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -211300 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 11:01 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -318.\nAnswer: -23\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101010010 - 11110020?\nAnswer: -112120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**3*n + h**3 + 234*h**2*n + 19*h**2 wrt n?\nAnswer: 2*h**3 + 234*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(198) - (-1*sqrt(198)*-3 - sqrt(198) - sqrt(198)))\/sqrt(9))\/((6*(sqrt(77)*-2 + sqrt(77) - sqrt(77)))\/sqrt(7))*-1)**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2511019528 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -8*g - 2*g**2 - 5\/6*g**3 - 1\/12*g**4 + 0. Factor q(z).\nAnswer: -(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35b2d3 (base 15) to base 16\nAnswer: -27333f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1551 + 5?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 281, 390, 477, 536, 561, 546?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168432 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 9*c + 2. Let l be d(10). Suppose 20 = -6*r + 308. Calculate the greatest common divisor of l and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -32*(4 - 114\/24). What is the nearest to 0 in -0.2, -2\/3, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u + 19. Determine o(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.88054 millennia in centuries?\nAnswer: 418.8054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 274*w**2 + 322*w**2 - 1 in the form k*w**2 + b + g*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6237 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/91188 and -47\/4023.\nAnswer: 273564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24\/185 - 20439\/740. Suppose -2*h - 4*y = 48, 4*y + 0*y = 2*h + 64. Let g = o - h. Which is the biggest value? (a) 1\/6 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.30841 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Factor 0*v**n - v**3 - 2*v**3 + 6 + 9*v.\nAnswer: -3*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4\/9*v + 2\/9 + 0*v**2 - 2\/9*v**4 - 4\/9*v**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -4054 - 7580. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 1011000111101111110100111?\nAnswer: 1011000111101111110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 262374 and 0.265.\nAnswer: 69529.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:43 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90\/(-270) + 154\/3. Solve 35 = v*m - 44*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 8. Suppose u + 1 = 2*d. Is 3\/2 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2394.\nAnswer: -1\/2394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-3))\/(-4)*(-348)\/(-232).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, 66, 188, 420, 798?\n\"Answer: 6*k**3 + k**2 + 3*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3308926*c**3 + 447782*c**2 + 6*c wrt c.\nAnswer: -19853556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqdqqqdqdq. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3720, 3755, 3780, 3789, 3776?\n\"Answer: -g**3 + g**2 + 39*g + 3681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 66*h**3 - 5*h**2 + 50. Let r(q) = 66*q**3 - 4*q**2 + 50. Let m(y) = 4*d(y) - 5*r(y). Find the first derivative of m(x) wrt x.\nAnswer: -198*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 - -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4 + 5. Let m be (-1)\/(-2*o\/(-24)). Suppose 4*h - 5*v + 15 = 0, -m*h + 6 = 3*v - 3. Solve h*p + 3*p = -4*q, p = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/3 + (-1)\/(-3). Suppose 40 = -13*w + 17*w. Calculate the lowest common multiple of w and (-10)\/(q\/(-1 + 3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3392.58 minus -2.6?\nAnswer: -3389.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 2) + (1 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 + (-256)\/(-44). Let s = -5 + k. Suppose 20 = w - s. What is the remainder when w is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 68*q - 1. Let d(y) = -40*y. Calculate z(d(r)).\nAnswer: -2720*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 5*j**2 + 8*j**2 - 11*j**2 + 538.\nAnswer: 2*j**2 + 3*j + 538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 1\/4*l**4 + 5*l**2 + 0 + 1\/6*l**3 + 0*l. Calculate a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09408028 to three decimal places.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.3098*0.56\nAnswer: -0.733488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7000 is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 92. Determine z so that -a*z**2 - 35*z**2 + 39*z - 3*z**3 + 21 + 87*z**2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let k be 3 - i - (-917)\/206. Let t = k + 5\/103. Find the common denominator of t and -26\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/(-14) + 464\/203.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:44 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 - 3*n**2 - 20*n**2 - 7*n**2.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -y + 8. What is the first derivative of -5*f**3 + f**y + 0*f**3 - 2 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*w - 4, 1 = -0*c + c - w. Let k(q) = -q**2 + 18*q - 28. Let t be k(16). Suppose t = -h - c*h. Let b(f) = f**2 + 3*f - 3. What is b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2275187 divided by -20\nAnswer: 2275187\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - x - 2)*(-x + 2*x + x)*(-4*x**2 + x**2 + 4*x**2) + 303360*x - 303360*x - 146*x**4 in the form o*x + i*x**4 + w*x**3 + p*x**2 + z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24420619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620908 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 8.7 (c) -1465 (d) -0.06 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, 24, 156, 386, 720, 1164, 1724?\n\"Answer: t**3 + 40*t**2 - 87*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p**2 + 2*p - 1. Let x(m) = -5*m**3 + 3*m**2 + 6*m - 6. Give -3*l(n) + x(n).\nAnswer: -2*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 11, v: 3, n: 2, m: 1, u: 1}. What is prob of sequence uv?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(275) + 0 + sqrt(275) + -3*(sqrt(275) + sqrt(275) + 1))**2.\nAnswer: -40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**2 - 68*y**4 + 31*y**4 - y**2 + 20 wrt y?\nAnswer: -148*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -3\/2*z**2 - 2 + 0*z. Let d(w) = w. What is d(f(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/4 + 2*y - 15\/4 = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 5, a: 1, v: 1, s: 1, e: 5}. What is prob of sequence va?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, i: 2, w: 3, r: 2, g: 2, s: 1}. Give prob of sequence ggi.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 1, p: 1, m: 2, u: 2, w: 1}. Give prob of sequence pmu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 497*u**2 - 91*u - 133. What is w(-2)?\nAnswer: 2037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -128.39 in -1, -0.2, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-11) + 2\/11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:44 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 654 - 653.311. Round n to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 4453623774.\nAnswer: 4453623774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*g**4 + g**2 - 131.\nAnswer: -224*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1434\/8 - 3\/(-4). Calculate the greatest common divisor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1777, 1736, 1679, 1612, 1541, 1472, 1411?\n\"Answer: j**3 - 14*j**2 - 6*j + 1796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 q, and 1 d when four letters picked without replacement from {d: 1, b: 1, q: 4, o: 5, g: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4364501 (base 7) to base 12\nAnswer: -21a955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*c - 364, 0 = -4*c - 5*b - 967 + 239. Let l be c\/9 + (-2)\/(-9). Let a be 5\/2*(-72)\/l. Solve 3*r = -6 - a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 343*d + 954 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 + 2426*b**2\/3 - 22512*b + 1415512\/9.\nAnswer: -2*(b - 3611)*(b - 14)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19\/72, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3\/12 - 54634*x**2 + 17044287*x\/4 - 166176855\/2 = 0.\nAnswer: 39, 655530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 0*j + 2*s + 21, 5*j + 5*s = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3266, 13300, 30024, 53438, 83542, 120336, 163820?\nAnswer: 213994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26118431.\nAnswer: 61, 103, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102819 to 7 decimal places.\nAnswer: -0.0001028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387922 is divided by 3181?\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**3 + 8 + 7*k**3 - 10*k**3 to o*k**3 + v*k**2 + m*k + d and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -b9560c?\nAnswer: b9560c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 376. Let l = q + 339. What is the lowest common multiple of 72 and l?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from zzzvzzv.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:18 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 15. Let i be (-14)\/j - 28\/(-6). Suppose -i*k - 36 = -8*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/8 - 33*q**3\/8 - 219*q**2\/8 - 327*q\/8 - 18 = 0 for q.\nAnswer: -3, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j**2 + 18 + 25 + 33*j**2 + 15 - 58.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29171240 at least 29171238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 332 - (-15 + 3)*(-1)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(0 + sqrt(17))*-3 + 2.\nAnswer: 6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 969 + 461 + 509 + 13*t**3.\nAnswer: 8*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a = -3*l + 3, 5*a = 2*l - 21. What is the common denominator of (-805)\/250 + l + -2 and 29\/80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*q**2*u*x + 81277*q**2*u + q*u**3*x - 12*u**3 - 2*u**2 + u - 1233*x wrt q?\nAnswer: 12*q*u*x + 162554*q*u + u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 + -170. Does 5 divide (-85)\/(-68) + (-6441)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199221 is divided by 3958.\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30))\/((-133)\/(-798))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3\/5 (c) 1\/2 (d) 0.054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/4 + -3 + 18\/4. Let v be (p + -6 - 5) + 5. Let j(f) = -f**2 - 9*f - 12. Calculate j(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 7*f + 38 = -55, -118390*f - 57 = -5*t - 118394*f for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13842 greater than 13899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*m - 23, -3*f + 1 + 6 = 4*m. Suppose 32 = -f*u + u. Let c = -6 - u. Put c, 5, 0 in increasing order.\nAnswer: 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -43\/7, -3, -1.4.\nAnswer: -43\/7, -3, -1.4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -200022101020011 (base 3) in base 12?\nAnswer: -331334a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = d. Suppose -3*g + 16 = 4, 3*n + 48 = d*g. Let h be -1 - 0 - n - -2. Calculate the highest common factor of h and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.26 + -35.46. Let o = t - -33. Let p = -0.04 - 0. Which is the closest to p? (a) 3 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:20 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3499*o**6 + 95*o**2 - 8*o wrt o.\nAnswer: -419880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, 395, 0.9, 0.0252 in decreasing order.\nAnswer: 395, 3, 0.9, 0.0252, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlclcaaccvcva. Give prob of sequence vac.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 2. Let p be o(5). Let h = p - 6. Calculate the smallest common multiple of 20 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1934 + 1934. Let j(p) = p**2 + 5*p + 1. Let l be j(-5). Let y be 2*l - 621\/309. Which is greater: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 514800 and 3276.\nAnswer: 3603600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:59 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1879 - 4.1879. Which is the nearest to -0.088? (a) -2\/5 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91))\/sqrt(7) + sqrt(13)*1 + -3 + sqrt(39)\/((sqrt(12)\/sqrt(4) + sqrt(3))*-1) + 5.\nAnswer: -sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/9 - 16*k**3\/9 + 14*k**2\/3 - 13*k. Determine t, given that q(t) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24956.9 * -43\nAnswer: -1073146.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 8*i - 14. Let f be v(-9). Which is greater: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + 6 - 12 - (-4 + (-50 - 3)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 293025, 292935, 292845?\n\"Answer: -90*q + 293115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 389 divided by 40276\nAnswer: 389\/40276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 333, 750, 1323, 2046, 2913, 3918, 5055?\nAnswer: 6318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 12\/(-10)*13930\/(-597)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -9.13, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -39*h**2 + 36*h - 3. Calculate m(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 21. Give l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24439 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15319436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*m + 21*m - 8*m**2 - 2*m**2 + 8*m**2 - 11 + 26*m in the form n*m**2 + p*m + o and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109857375?\nAnswer: 3, 5, 97651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6836 = -q. Suppose 3*h + 1176 = 3*j, 4*j + h - q = -156. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46735 = 5*l + 20*n - 15*n, -l = -n - 9357. What are the prime factors of l?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 + -103. Calculate the greatest common divisor of j and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 57.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9419702 to 3 dps.\nAnswer: 4.942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 3\/(3\/(-2)). Let p = 0 + k. Let h(x) = 2*x**p + 5*x**2 - 4*x**2. Let i(q) = -q. Give i(h(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389, -766, -1143, -1520, -1897?\nAnswer: -2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1*(-681)\/6. Suppose 4*s - z = s + y, 0 = 4*s + 5*y - 309. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 120?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*m**4 + 19*m**4 - 6*m**5 + (5*m**2 - 5*m**2 - m**3)*(5 + 3*m**2 - 5) + 0*m**3 + m**5 + 0*m**3.\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) -2\/3 (c) -263 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 5*o**2 - 2*o**2)*(59*o + 42*o - 17*o) + 30*o**3 - 1013 + o**2 + o + 1013.\nAnswer: 114*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*(-10 - 4). Solve 2*c - z = -1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 3:22 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (0 - (-2 - -84)). Suppose 2*h - 2080 = -63*h. Find the second derivative of 195*j - h*j**5 - i*j - 70*j wrt j.\nAnswer: -640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q + q)*((5 + 0 - 3)*(-2 + 2 - 1) + (0 + 1 + 0)*(4 + 4 - 2)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*b - 50*b - 53*b - 46*b - 24*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) + 514\/5. Suppose -9 = 2*v - x. Let z = -46 + v. Which is the second smallest value? (a) -0.09 (b) -1\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -92.138. What is l rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -8. Suppose -f = -t*f + 30. Is 2 a factor of (2 - (f + -3)) + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1330965788 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 n when four letters picked without replacement from jnnjjnnnnjnjjnjnjjjn?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002412432 to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 243 + -1376863.18\nAnswer: -1376620.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53687 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 448 - 410.1. Let r = m + -34. Let k = r + -4. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*q + 14. Let m(t) = 11*t**3 + 6*t + 7. Let f(c) = -6*c**3 - 3*c - 4. Determine q*m(x) - 7*f(x).\nAnswer: -2*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2 + 8. Let v(w) be the first derivative of 2*w**3\/3 + 3*w - 29. Is v(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 5*m + 82. Let s be q(-12). Let f(j) = 50*j**2 - 12*j - 26. Let x be f(s). What is the greatest common divisor of 44 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**4*s - 282*j**2*s**3 + 2*j*s + 100*s**3 wrt j?\nAnswer: -8*j**3*s - 564*j*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d. Let a be n(1). Suppose -8 = -a*k + 57. Let s(f) = 3*f - 8. Is s(k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 982*c**2 + 0 - 2 - 2051*c**2)*(6*c**3 - 3*c**3 - c**3).\nAnswer: -2138*c**5 + 4*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56\/153 - -10\/17. Let o = 0 + 0. Let p = 16442 + -16434. What is the nearest to p in o, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 - 81*n**2 + 171*n - 87 = 0. Calculate n.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 10. Let i be b(-6). Is 4\/(-8) + 33\/i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*((-3*t**2 - t**2 - t**2)*(-1 - 2 + 1) + t**2 + 2*t**2 - 4*t**2)*(-1 + t**3 + 1).\nAnswer: 18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*i + 0*i - 43 - 18 in the form t + u*i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -145*t + 116*t + 49 - t**2 - 16. Let u be n(-30). Let d(r) = r**2 - 3*r + 1. What is d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9821, 19506, 29191, 38876, 48561?\nAnswer: 58246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 146192285723\nAnswer: 146192285742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7170 + 81922?\nAnswer: 89092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0\/r)\/r)\/r**(10\/9)*(r**(-2\/7))**21)**(-50) assuming r is positive.\nAnswer: r**(4100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 311 - 4\/3*9\/(-6). Let b = -189 + g. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-4 + sqrt(1125) - sqrt(1125))*-3 + -4*(sqrt(1125) + -1)) + 2)**2.\nAnswer: -46800*sqrt(5) + 456084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32\/33 + 2203\/264. Find the common denominator of 2870\/(-392) - (-2)\/(-8) and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/13 + 6\/78.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 3. Let w(l) = l + 11. Let t be w(-9). Sort t, b, -4.\nAnswer: -4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j**2 + 6*j**2)*(11*j + 29 + j - 27) + (1 - 1 - 6)*(2*j**3 - j + j).\nAnswer: 12*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Suppose -3*n = -2*n + 3*g + 7, -2*g = -n + 3. Let u = n + d. Solve 2*v + 1 - 5 = u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*s - 11, 2*d + 14 = 4*s + d. Solve -s*l - 4 = 4*c, -2*l - 3*c = -6*l + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/93 - 39876\/(-36). Calculate the greatest common factor of d and 4305.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.005 + -13.005. Let r = g + -35. Let v = r - -48.019. What is v rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -246*h**7\/7 + 11*h**3\/3 + 238. Find the third derivative of x(b) wrt b.\nAnswer: -29520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/290 and 39\/1571740.\nAnswer: 45580460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -15*v - 330. Let s = v + 162. Which is greater: 106 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 8*l**2 - 4*l + 4. Give g(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 184 = 176 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-14*(-24)\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -561, -850?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -1753545?\nAnswer: -1753550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fd (base 16) in base 8?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*h + 2*x, -3*h - 3*x + 360 = 378 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61685.\nAnswer: 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22782.3 - 22782. Let z be (4\/(-24))\/(1\/(-2)). Which is the nearest to 1? (a) j (b) 2\/19 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*s + 15 - 13*s + 8*s - 2*s**4 wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44335095 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 8. Suppose 6*s = s. Let i be t(s). Let c = i + -5. Solve -c*b = -b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1) - (-8 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + 15*f. Let x be ((-28)\/49)\/2 + 103\/(-7). Suppose -4*s + 1 = -3. Let a(y) = y. Give s*b(j) + x*a(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6) - (-53)\/2. Let h be (1 - 3 - -1) + 3. Suppose -j = g - 14, -5*j + o = h*g - j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.305 and -3.\nAnswer: -8.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -5858?\nAnswer: 5858.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 200031311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -47*o + 3. Let s = 112 + -115. Is p(s) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 at least as big as -52261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2551 and 18027917?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5934 - -0.1934. Which is the fifth smallest value? (a) 1\/3 (b) p (c) 4 (d) 3\/2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2 + y**3 + 2 - 2*y**3 - 2*y**3 + 9*y**3 + (-y**3 + 0*y**3 + 3*y**3)*(-2 + 6 - 3).\nAnswer: 8*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127467568 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(9\/8)\/(y**(2\/39)\/y*y) assuming y is positive.\nAnswer: y**(335\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*f + 38368, -28768 = -3*n + f - 2*f. List the prime factors of n.\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Let i(t) = t**2 - 31*t - 183. Let c be i(36). Sort c, 2, m in ascending order.\nAnswer: c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (sqrt(468) + sqrt(468)*2 - sqrt(468)))**2 + 5 + -5 - ((sqrt(143)*4)\/sqrt(11) - 4*(-3 + sqrt(13))).\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**3\/3 + 72. Let p(m) = 7*m + 2. Let n(b) = 295*b + 85. Let k(v) = 6*n(v) - 255*p(v). What is c(k(z))?\nAnswer: 225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (0 - 4\/2). Let f = 4 - j. Solve -f*r + 9 = -11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680\/(28\/(-21) - -2) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 4 (b) 8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1707, 2108, 2501, 2880, 3239, 3572, 3873, 4136?\nAnswer: 4355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Let h(u) = -108*u**2 + 7*u - 2*u - 59 - 5*u + 61. Determine p(h(v)).\nAnswer: -11664*v**4 + 432*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by (-18 - 5)*24\/(-16 - -8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1261*v**3 + 1 - 1339*v**3.\nAnswer: -78*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*(l*l**(-2\/21)*l)\/l)\/l*l*l)\/l)**(-1\/8))**13 assuming l is positive.\nAnswer: l**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -16. Let z = o + 12. Let f(v) = 9*v**3 - 11*v**2 + 7*v + 13. Let b(k) = 5*k**3 - 6*k**2 + 4*k + 7. What is z*f(j) - 11*b(j)?\nAnswer: -j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 4 = -4*y. Let p(m) = -4*m - 8. Let d be p(y). Suppose h - 5 = d. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*k - 6*k + 504. Let t = 40 - k. Is t a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1090*w + 188572. Give x(173).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 49.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8480.59 - 0.053.\nAnswer: -8480.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 1. Let l(g) = g - 3. Let s be l(2). Let n(j) = -j**2 - 3. Determine s*n(w) - 3*d(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 572, -53, 5, 15, 0 in increasing order.\nAnswer: -53, -5, 0, 5, 15, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228 divided by 1.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3859 - 3859 + 45*s**2.\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, 59\/6, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 2*n + 2. Let y be a(2). Let d(o) = o**3 - 8*o**2 - 19*o - 6. Let q be d(y). Is (342 + 5)*(q - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1678 + -1676 + -8 + -1 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 3*x**5\/5 - 15*x**4\/8 + 2*x**3 - 3*x**2\/4 - 1. Determine z so that u(z) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -58 + 100 - 23*g - 47. Suppose -2*p - 5*c - 6 = 0, 3 = 3*p - 4*p + 2*c. Is u(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 55154d?\nAnswer: -551548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - 3*f + f)*(-9740*f**2 + 8752*f - 8752*f) in the form m*f**3 + b*f + p*f**2 + j and give m.\nAnswer: -19480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*r = 0, -2*h = 3*r - 8 + 3. Let v = -16 - -6.5. Let w = 10 + v. Which is the biggest value? (a) -0.5 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 3*u + 1. Let v(p) = -7*p**2 + 71*p + 6. Give -3*c(y) - v(y).\nAnswer: y**2 - 62*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = -2*u, -5*u - y + 26 = 3. Let v = 6 - u. Suppose 4*j + v = 9. What is the second biggest value in j, -3\/8, -3\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008 is divided by 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 51.13?\nAnswer: -51.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2 + 40*h = 0.\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59758005 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.34982 and 0.1.\nAnswer: -0.734982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, i: 2}. What is prob of sequence ini?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((70\/63*2\/4)\/(-1)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(15 - 13).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33223 - -54608. What are the prime factors of y?\nAnswer: 5, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 0.2 (b) -771 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + o - 341, 11*c - 9*c - 5*o - 143 = 0. Calculate the highest common factor of c and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 1, t: 1}. What is prob of picking 1 d and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 3. Let j be x(3). Suppose -n + 2 + 2 = j. Suppose 0 = 5*b - n*b. Solve b = 4*t - 13 + 33 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, t: 5, r: 2}. Give prob of sequence ttd.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.061 or -3\/7?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 203*j - 22*j + 5*j**4 + 315*j**3 + 82*j**2 - 9*j + 533*j**2 + 133*j = 0.\nAnswer: -61, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624245.\nAnswer: 3, 5, 7, 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 739.\nAnswer: 11085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2940, -15483, -36384, -65643, -103260, -149235?\nAnswer: -203568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 1. Let z(f) = 4*f - 148. Let y(b) = 10*j(b) - z(b). Give y(-28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g = -17*g + 360 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/5))\/t**(-5)*(t**(-9)*t*t)\/t**(-1))**49 assuming t is positive.\nAnswer: t**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192 + 200. Suppose 5*u - 575 = -4*a, u = -w*a + 7*a + 115. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 11*t + 30. Calculate b(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.077 and -0.41.\nAnswer: -0.03157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - 7. Is -1 - -13 - r\/(-7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, k: 4, w: 3}. Give prob of picking 1 w and 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = 0. Solve -o - 2*o - 15 = n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c**3 + 4*c**2 + 6*c + 10. List the prime factors of a(-3).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61375822 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) 0.2 (c) 4 (d) 2\/23 (e) -5 (f) -0.12 (g) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzld when four letters picked without replacement from {d: 6, h: 1, l: 5, z: 1, v: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 56 = -3*q - 2*l, q = -3*l + 21. Calculate the highest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -4) + -4 + (-3 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9353273 is divided by 1870644?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0154965076 to 4 dps.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**2 + 4*f**2 + 2*f**2)*(f**2 - 47 + f**2 + 0*f**2).\nAnswer: -2*f**4 + 47*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2, -15 in descending order.\nAnswer: 2, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223*g**2*i**3 - 10*g**2*i*m + 11*g*m - 263*i**3 - 3*i**2*m wrt g.\nAnswer: 446*i**3 - 20*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1379 - 17646 - 39258 + 10161)*(0*w**4 - 3*w**4 + 2*w**4).\nAnswer: 45364*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211*i + 8*i**4 + 211*i + i**2 wrt i.\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 + 442005?\nAnswer: 44202a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aha when three letters picked without replacement from {h: 3, a: 13}?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1288)\/(-276))\/(4\/(-9)) - (-16 + 2)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7615078 + 47.807.\nAnswer: 7615125.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 75. Let o = y - 31. Solve -u = -o*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 4\/3, -1\/9, 7, 3\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66, 139, 212, 285, 358?\n\"Answer: 73*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*w = 2, 2*r = r - 4*w + 19. Suppose -4*x + 15 = r. Let j = x + -1. Calculate the remainder when 2 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21743, 21675, 21607?\nAnswer: 21539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -241 (b) -1\/6 (c) -0.02 (d) -11 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 27640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 - z**2)*(0*z - 21*z**2 - 2*z + 26*z**2).\nAnswer: 5*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -105\/2*q**2 + 12 + 55*q - 10\/3*q**3. Factor y(s).\nAnswer: -5*(s + 11)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*s**3 - 4*s**3 - 2*s**2 + s**3 to the form k*s + r + z*s**3 + d*s**2 and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101557483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7849 + -568.7849. Are -1\/5 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 143, 214, 283?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b - 10*b + 3*b. Suppose x = 2*x. Suppose x = -5*n + 3*m - 7, -2*m = 2*n - 10. Give p(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 n when three letters picked without replacement from {t: 1, g: 1, n: 2, v: 2, i: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:28 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 8*i**2 - 4*i - 38. Determine k(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 168 - -90) + 37 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c. Let l(y) = -y**2 - 24*y + 7. Let r be l(-11). Let a(g) = 215*g - 123*g - r*g. What is a(f(b))?\nAnswer: 58*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 32*w**2. Let l(d) = -d + 130. Determine l(f(k)).\nAnswer: -32*k**2 + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -175.1 and 2.\nAnswer: -350.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h + 3*m = 15, -4*h - 2*m = -18. Suppose 3*u + 3 = h*u. Suppose l + 3*b = -l - 11, 0 = -u*l - b - 6. Let x(z) = 5*z**3 - z**2 + z + 1. Give x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - 4. Is 152\/5 + 4\/r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 12. Let a(l) = 7*l**3 + l. Let u be a(s). Let d be (-2)\/u + (-51)\/(-12). Solve d*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 2:59 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*s + 5*x, -6*s + x = -3*s - 12. Solve 0 = d + d + s*u + 20, 0 = 4*d + 3*u + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1336925.4 - 1336320.41172. Let i = -605 + j. Round i to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + (3 + sqrt(2299))*-6 - sqrt(2299) - sqrt(2299)) + sqrt(2299) + 2 + 2 + -5)**2*-4.\nAnswer: -332500 - 10032*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 275503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212862628*y - 138782008.\nAnswer: -212862628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*f - 17, 17 = -2*f + 3*t - 0. Let b(i) = -i - 5. Let p be b(f). Solve -5*j - 3*k + 25 = p*k, 0 = -2*k + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 3259363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.004 - -0.404. Suppose 0 = 2*i + 4. What is the nearest to 0 in i, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/243 (b) 12 (c) -3 (d) -1\/4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -866 divided by 198\nAnswer: -433\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142569 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvv when three letters picked without replacement from {x: 3, t: 2, v: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-784)*-12*1*4. Let x be 1\/1 - 15\/3. Let h be ((-4)\/48)\/(11\/66). Which is the nearest to -0.6? (a) h (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 458639410 to the nearest one hundred thousand.\nAnswer: 458600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400)\/(-28) - 8) + (-1 - 5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.538 - -8.2297. Let w = a - -0.0743. Let g = 0.156 - w. What is g rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 5*v + 5*z - 22, -z - 91 = -4*v. Let n = 27 + -18. Let l be (92\/6)\/(6\/n). Is l > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) + 8\/12. Let l be (5\/5 - 10) + 84\/12. Let o = 10 - 5. Which is the nearest to l? (a) q (b) -1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7257 + 7290. Which is greater: j or -126?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agagakqggqkgkkg. What is prob of sequence gqaq?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 1942, 6606, 15716, 30760, 53226?\nAnswer: 84602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 175*p - 3. Is b(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 8, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 113792.\nAnswer: 1024128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3*-89\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 276*x - 12. Let v(m) = -5*m - 1. Determine u(j) - v(j).\nAnswer: 281*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**4\/12 - 3*o**2 + 3*o + 139. Let y(n) be the second derivative of m(n). Let u(w) = -w + 6. Let p be u(5). Determine y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3786946?\nAnswer: 2, 1893473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*j - 9 = 0, -3*j = 3*p - p - 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 6*p - p)*(-3745 - 7442 - 7080).\nAnswer: -36534*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:21 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89\/1050 - 9\/50. Let p(a) = a**2 + 5*a + 4. Let g be p(-5). Let h = 6 - g. What is the closest to 2\/7 in -0.2, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from {r: 1, n: 1, m: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 195.3 from -7848.1.\nAnswer: -8043.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 732569 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + d - 187. Calculate the remainder when (-2020)\/(-22) + (-6)\/(-33) is divided by b(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4605.809 + -4597. Let f = -388 - -396.7. Let m = f - i. What is m rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 293997 and 13629?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*h. Suppose -1411 = -h*o + z + 3*z, 0 = 5*o - 4*z - 2357. Suppose -2*b + o = -189. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1\/3, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21978 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14514 is divided by 79.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/2 + 395*u**2\/2 + 44103*u\/2 + 971181\/2 = 0?\nAnswer: -183, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 1 - -6) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 368029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.6 - -2.9. Let u = x + 35.70000383. Round u to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 5*(sqrt(2057) + -2) + (4 + (sqrt(2057)*2 + sqrt(2057) - sqrt(2057)) - (5 + sqrt(2057) + 1)))*-2)**2.\nAnswer: -4224*sqrt(17) + 296464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlqw when four letters picked without replacement from {w: 1, q: 2, l: 7}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5860*l**2 - 5553*l**2 + 10730*l**2.\nAnswer: -683*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + 3*((sqrt(70) + sqrt(70) + sqrt(70)*2 + sqrt(70))*-3)\/sqrt(10) + 3)**2.\nAnswer: -360*sqrt(7) + 14191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 162, -9, 0.4, 3 in decreasing order.\nAnswer: 162, 3, 0.4, 0.05, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 468 = 2*a, -5*a + 10 = -5. Let g be t\/9 - (4\/(-3) + 2). Solve 5*c = -g, 2*c + 10 = n - c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1091*s**2 - 2194*s**2 + 1096*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(((-80)\/5)\/(-4)))\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(25*r**5 + 44*r**5 - 21*r**5) + (3*r - 4*r + 5*r)*((-4*r - r - 2*r)*(0*r**3 - r**3 - 2*r**3) + (4 + r**3 - 4)*(0 + 0 - r)).\nAnswer: 176*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 159*v + 2367. Determine b(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, 0, -22\/115, -2?\nAnswer: -22\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 343362 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001171 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + i + 1358 = 2*d, 4*d = 5*i + 1099. List the prime factors of d.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmv when three letters picked without replacement from {v: 2, l: 4, d: 1, m: 4, j: 2, p: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 5.3635333.\nAnswer: -7.3635333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 23*j - 75. Let q be y(-3). What is the nearest to q in 3\/7, 3, 0, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 times -0.4?\nAnswer: 114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 0*n**2 + 0*n**2)*(-33*n - 338*n - 126*n).\nAnswer: -497*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = 4*b - 31, -2*t = 2*b - 28. Solve -20 = 11*r - b*r, 0 = 3*h + 4*r + 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from qdukduvvdquava?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -108. Let f = l + -1. Suppose 3*q = -5*j + 26, -6 = 4*q + 5*j - 44. What is the remainder when f is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 15 - 228. Suppose -5*o - 19 = 106. Let c = o - t. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151046023 (base 7) to base 11\nAnswer: 5719057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706384375.\nAnswer: 5, 19, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d - 59. Suppose -876*w + 706*w = 3400. Determine j(w).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642 - 642 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*v + 11. What is the units digit of (-8)\/v + 46\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/33)*v*v**(9\/4))**(-41) assuming v is positive.\nAnswer: v**(-22837\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 4*g**2 - 6 - 5 + 4*g**2 + 3*g**2 + 13. Let w(x) = 11*x**2 + 3*x + 3. Calculate -3*b(r) + 2*w(r).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1122*n**3 - 4144*n**3 - 3260*n**3 - 2606*n**3 - 4985*n**3.\nAnswer: -13873*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 17. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - z - 1. Let r(t) = -3*t + 1 - 1 + 4*t**2 - 3 - 3*t. Let u(x) = -r(x) + 5*y(x). Calculate u(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 11:49 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*h + 2)*(2 + 2 - 5)*(0 - 1 + 5).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*t - 198*t + q + 9 = 0, 0 = t + 4*q + 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 + -174. What is the least common multiple of 130 and z?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -13*d - 18. Let c(f) = -40*f - 46. Let o(y) = 3*c(y) - 8*q(y). Suppose t - 8 = -3*t. Let z(g) = -2*g - t*g + g + 1. Give 2*o(l) - 11*z(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 27*s - 8. Let o be f(-12). Is 164 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -15*r**2 + 0 - 3\/20*r**6 + 0*r**3 - 2\/15*r**5 + 0*r**4 + 0*r. What is the third derivative of f(i) wrt i?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (5 - 23) + 24 + -26?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-34)\/p**(-9))**2)**(-31) assuming p is positive.\nAnswer: p**1550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225 - -155. Let h = -66 - z. Suppose -10*y = -h*y - 36. Solve 4*k - y = 6*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*o = -5*o + 53, -5*o = -4*r + 59. Let z(c) = c - r + 6 + 9. Let w be z(1). Which is bigger: w or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35706\/55 + 4\/5. Let l = u + -645. Solve -l*i + 7*i + 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 45. What is the highest common factor of 287 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) + 258\/(-30). Let l(d) = d**2 + 8*d + 5. Let v be l(o). Let a = -29 - -32. Solve -2*c - a*c = -3*j + 22, -2*j + 3*c + v = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 656 = -356. Suppose 0 = 22*n - t*n + 1200. What is the remainder when n is divided by (-3)\/(-2)*(-174)\/(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1925482167 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**7\/2520 + b**6\/180 - b**5\/40 - b**4\/12 - 3*b**2. Let t(d) be the second derivative of g(d). Determine t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169925257 - -169925114.0000344. Let i = 143 + l. What is i rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 63782887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177337004*s**2 - 23283*s + 858.\nAnswer: 354674008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -211144436 + -5?\nAnswer: -211144443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 - -73.91. Sort 1, 4, -0.4, q.\nAnswer: -0.4, q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*j + 5*z, 5*j + 4*z + 41 = 130. Let w be 12\/40*(-7)\/(j\/2). What is the smallest value in 1\/3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6004\/(-79))\/(-228))\/(2\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 70?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 5*d - 3*d)*(2*d - 4 + 2*d**2 + 4).\nAnswer: 10*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -17*i**2 - 18*i**2 + 6*i**3 + 37*i**2 + i - 3*i**3. Let s(z) = -4*z**3 - 3*z**2 - z - 1. Let a = -29 - -32. Give a*d(p) + 2*s(p).\nAnswer: p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.008 - -0.508. What is the second smallest value in 1, 1\/9, b, -2\/11?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Let q(f) = -3*f + 2. Let d be q(-4). Let a be 2\/(-1 + 15\/d). Solve a = 4*u - 4*b, 0 = 2*u + l*u + 3*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 292.3426 litres?\nAnswer: 292342.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/(-70)*-7)\/(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 759 + -1101. Let b = f - -342.000000578. What is b rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3234 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 591 by -1227.\nAnswer: -197\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -22*y**4\/3 - 2188*y**3\/3 - 22456*y**2 - 199920*y = 0.\nAnswer: -42, -170\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/546 and 68\/15.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 2 (c) -2.2 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8089\/1540 - 1\/385. Let k = 16 + -9. Calculate the common denominator of j and -1 + k\/18 + -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 16. Let u be c(-13). Suppose -5*x + 467 = 4*t, u*t - 5*x - 68 = 256. Let w = -26 + t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*l + 6*l + 1290 + 32*l + 35.\nAnswer: -182*l + 1325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15429, 32999, 50569, 68139, 85709, 103279?\nAnswer: 120849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 220.7302 hours?\nAnswer: 794628720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 20.8178?\nAnswer: 20.8178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.2, 2, -1\/5, -2\/19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -19 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*((-1)\/(-1) - 0). Let k be 8\/r*3\/10. Suppose -466*c = 117*c - 1464 + 298. Are k and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263 or 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5667, 11243, 16819, 22395?\nAnswer: 27971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1146 and -16\/22929.\nAnswer: 8758878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 6*o**2 - 7*o - 14. Let t(c) = c**2 + 8*c - 15. Let a be t(-9). Let p be z(a). Let x = p - 13. Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 times -0.054?\nAnswer: 0.02052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (5 + -1 - (-14 - -20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/10)*t)**(39\/4)*(t\/((t*t**(5\/3)*t*t)\/t))\/(((t\/(t*t**(-6\/5)))\/t)\/t))**(-22) assuming t is positive.\nAnswer: t**(-14267\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 790 and 82474?\nAnswer: 32577230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19569, -39052, -58521, -77970, -97393, -116784, -136137, -155446?\n\"Answer: w**3 + w**2 - 19493*w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a - 38. Let b be o(11). Solve 2*m - 16 = -b*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 8*u**2 - 6*u - 22. Let c be p(9). Suppose 0 = -c*x + 2*j - 4062, 2438 = -x - 2*x + j. What is the units digit of 12\/20 + x\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 28*m + 1. What is v(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31 (b) 0.4 (c) -2\/11 (d) -5 (e) -418\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 97 + 370 = 0. Suppose -5*v + 1233 = 2*m + 1012, -v + 286 = 3*m. Is m <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, m: 5, z: 3, b: 6, s: 1}. What is prob of picking 1 z, 1 m, and 1 b?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, o: 5, h: 2, j: 1, l: 1}. What is prob of sequence ojol?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 1:56 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 3*i - 4. Let w be p(1). Let h(s) = 3*s**2 + 2*s + 1. Let q be h(-2). Suppose -q*v - 2 + w + 7*v**2 + 1 = 0. Calculate v.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -2\/15 (c) 0.5 (d) 5 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4318, -4280, -4232, -4168, -4082, -3968?\n\"Answer: w**3 - w**2 + 34*w - 4352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -6*l**3\/5 + 4152*l**2\/5 - 686394*l\/5 - 690552\/5 = 0.\nAnswer: -1, 276, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*267\/(-9) - -3. Let b = z + 89. Let p be (-15)\/(-3)*(4 - 2). Solve -w + b*w = -p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2*w**2 + w + 2. Let n be i(0). Suppose -4*p + 4 = n*c, 2*c + 4*p = c. Solve -4*o = -c*x + 8, -o = -0*o + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 15 - 23)*(2*y**4 + 2 + 8*y**4 + 6*y**4 + 9*y) in the form m*y**3 + b + w*y + h*y**4 + q*y**2 and give w.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -70.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 5, 1 in decreasing order.\nAnswer: 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 b when four letters picked without replacement from bhbhbbbbbhhbh?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*k + k + 24, -5*k = -4*n - 14. Let z be n\/24 + 37\/4. Let v(x) = -3777*x - 7. Let r be v(z). What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 1695 = -1903. Solve 1 = -5*r + x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3121034)\/(-168))\/(8\/16) + 2\/(-12) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/40 - b**3\/2 + b**2. Let a(n) = 3*n**3 - 2. What is 3*a(i) - 2*v(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) -1241.7 (c) -4 (d) -139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 246. Let i = 282 + k. Suppose -78 - i = -5*l. What is the greatest common factor of l and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-594)\/12*2\/(-3). Let r(f) = 2*f**2 + 5*f + 3. Let z be r(-5). Let m = t - z. Solve m*l - 4*x = 2, 5*l - 25 = -3*x - 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 36*h**2. Let i(l) = 135*l**2 + 13382*l. What is i(u(t))?\nAnswer: 174960*t**4 + 481752*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p = 43*p + 6, -5*y = 5*p - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 10\/211, 2\/11, -5?\nAnswer: 10\/211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*v + 175, -2*v + 4*z = z + 60. Let h = v - -61. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*f**2 + 0*f + 0 - 6\/17*f**3 - 6\/17*f**4 - 2\/17*f**5.\nAnswer: -2*f**2*(f + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 + 4*n - 4. Let m(l) = 9*l**2 - 11*l + 11. Let c(i) = 4*m(i) + 11*w(i). Let d(o) = 4*o. Calculate c(d(q)).\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1332 by -446.\nAnswer: 666\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75705*b*y**4 + b*y - 58281*y**2 wrt y.\nAnswer: -1816920*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -792 + 4*h**2 + 4*h**3 - 11*h**3 - 56*h**3 with respect to h.\nAnswer: -189*h**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-10) + (-144)\/(-135). Are 2 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 10:57 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12131.\nAnswer: 7, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014.4202867 take away 0.01?\nAnswer: -1014.4302867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - z = -2*z, 0 = -w + z - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13492 plus -0.142?\nAnswer: -0.00708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1630? (a) -11 (b) 0 (c) -109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.342 and -0.5.\nAnswer: 9.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69935.549 > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sdssdsssddssd?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 30. What is the greatest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/171 and 471\/72*16\/(-228).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**3 - 5*q**3 + 0*q**3)*(2*q + 0*q + 0*q)*(-2 - 1 + 1 + (2 + 3 - 4)*(-3 - 2 + 4) - 6 + 6 - 1) to l*q + p*q**4 + i*q**2 + n*q**3 + s and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102210200012 (base 3) to base 16.\nAnswer: -38b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**4 + v**3 - v**2 - v + 1. Let o(k) = -25*k**5 - 67*k**4 + 256*k**3 + 584*k**2 - 271*k + 1. Let l(x) = -d(x) + o(x). Suppose l(q) = 0. What is q?\nAnswer: -3, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856743857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 352 (c) -8\/19 (d) 3 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**3 - 9*a**3 - 4133 + 4133.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 11:50 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 781*h + 783*h - 46 = 0, 0 = c + 4*h - 2 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 7*s + 4. Let z be 8\/((-56)\/(-21)) + (30 - 1). Suppose -z*u = -35*u - 12. Determine d(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.41 - -0.61. Which is the nearest to -0.5? (a) 0 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 279, 1356, 3195, 5802, 9183, 13344, 18291, 24030?\n\"Answer: s**3 + 375*s**2 - 55*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 235*u**3 + 271625*u**2 - 40460*u = 0?\nAnswer: -1156, 0, 7\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 13*m**2 + 3*m**2.\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**3 + 2 - 60*b**3 + 23*b**3 + 2*b in the form h*b**3 + f + x*b**2 + z*b and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -435\/56 - -57\/7. Suppose -6 + 1 = 5*z. Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283 + -265. Solve l = 27*c - 21*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1326 and 1573.5?\nAnswer: -2086461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.9192985 rounded to 1 dp?\nAnswer: 14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 12251.4?\nAnswer: 3675.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -234841*d*u - 67759*d - 2 wrt u?\nAnswer: -234841*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-4) - (-6)\/(-8). Suppose j - 4*s = 6*j - 76, 0 = 3*j + 2*s - 44. Let d(b) = -j - 11 - 6 + 31 + b. Determine d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 19*a**2 - 18*a + 12. Calculate u(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 28 - 12. Suppose 0 = -u + x - 3, -17 = 15*u - 11*u - 5*x. Factor -30*v**u - 3*v + q*v + 29*v**2.\nAnswer: -v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56971b1a - -3?\nAnswer: 56971b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s + 4, y = 3*s + 8. Let v(m) = -m**3 - 7*m**2 + 8*m - 5. Let x be v(-8). Is x > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 5*s - 13, f - 2*s - s - 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 757*x**2. Let c(v) = -3*v. Give a(c(w)).\nAnswer: 6813*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26126838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Suppose f*d + 2 = 4. Calculate the lowest common multiple of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1405, -1412, -1421, -1432, -1445?\nAnswer: -1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 - 12*w + 19. Is h(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let g = -4546\/385 - -3\/385. Let w = g + 541\/45. What is the closest to w in -2\/9, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 453*a**2 + 1713*a - 340. Give l(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 343884 and -217?\nAnswer: -74622828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -352 + 412. Let c(i) = -u + 178 - i - 63 - 56. Let y(t) = -2*t**3 - 3*t. What is 2*c(f) - y(f)?\nAnswer: 2*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 9, 68, -10 in decreasing order.\nAnswer: 68, 9, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 11688 (c) 0.18 (d) 3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (385\/110)\/((-7)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 + z**4 + (-4*z**4 + 10*z**4 - 20*z**4)*(3 - 2 - 2).\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-79\nAnswer: -6.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(117) + sqrt(13) + sqrt(52)\/(sqrt(16)\/sqrt(4)).\nAnswer: -5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 565645716*x**3 + 26662923002429388*x**2.\nAnswer: 3*x**2*(x + 94274286)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1844 (base 16) to base 10.\nAnswer: 6212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -57256 divided by 18\nAnswer: -28628\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8994617 to the power of 1\/2, to the nearest integer?\nAnswer: 2999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 19 = 5*w. What are the prime factors of (-8)\/(-2)*(w - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2912483 less than 6?\nAnswer: 2912489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1372849*j**3 - 29*j**2 - 51*j - 17.\nAnswer: -8237094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**8\/6720 + x**7\/630 + x**6\/180 - x**5\/24 + x**4\/6 - 2*x**2. Let b(l) be the second derivative of s(l). Determine b(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033.999 kilometers in centimeters?\nAnswer: 403399900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -384448 + 2313059\/6. Let n = m + -1074. Find the common denominator of -97\/18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/32 and 83\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + 90\/(-24))\/(1\/4). Let b(o) = -o**2 + 18*o - 50. Let s be b(x). Solve 21 = 6*i + s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -10003140251?\nAnswer: -10003140253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/126)\/(3\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -185168, -373127, -561086?\n\"Answer: -187959*w + 2791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16628869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/69936 and 109\/36.\nAnswer: 209808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19.007007 months?\nAnswer: 1.58391725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 32 + -20 - (9 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, 3\/7, 0.6, -1520?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-24)*722 - 2\/8 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 13610*h**3 + 54500*h**2 - 54520*h.\nAnswer: -5*h*(h - 2)**2*(h + 2726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22\/8640039 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(1 - 3*a**3 - 1) + 0*a**3 - 3*a**3 + 0*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13181*a**2 - 187*a*h**2 + 7497818*h**2 with respect to a.\nAnswer: 26362*a - 187*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5508165, -5508155, -5508145, -5508135?\n\"Answer: 10*z - 5508175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 1, u: 2}. What is prob of sequence uq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 14*u - 20. Let k be m(18). What is the common denominator of k\/80 - 1\/5 and 26\/24*45\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 11 + 3. Suppose 33 = 4*y + t - 38, -v*t = 5*y - 85. What is the least common multiple of 6 and 0 + -2 - (1 - y)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -698929, -1397802, -2096675, -2795548, -3494421?\nAnswer: -4193294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*v = 10, -f + 2*f - 2*v = 15. Let q = 1064 + -1060. Put f, 56, q, 1\/4 in ascending order.\nAnswer: 1\/4, q, f, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (510\/(-56))\/(-5) + (180\/35)\/(-9).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -33*y - 13. Let t(x) = -11*x - 4. Suppose -152*r = 636 - 262 + 690. What is r*t(j) + 2*w(j)?\nAnswer: 11*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 8 = 18. Let v = -13179 - -13212. Calculate the lowest common multiple of j and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1788 is divided by 252?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**2 + 4 + 6*x + 9*x**2 - 4*x**3 - 10*x**2 - 15*x**2 to a*x**2 + g*x**3 + b + s*x and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 33*q + 59. Let j be t(2). Let v = -6 - -10. Sort v, j, -12 in ascending order.\nAnswer: -12, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -382877, -382981, -383085, -383189, -383293, -383397?\n\"Answer: -104*z - 382773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a**2 + 26*a - 13. Let u(p) = -4*p**2 - 13*p + 6. Calculate -13*u(j) - 6*y(j).\nAnswer: -2*j**2 + 13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - -27 - (4 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53828 is divided by 13453.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y - 35*y = 117*y - 1372. Let b(u) = u**3 - 8*u**2 + 7*u - 1. Let j be b(7). Let p be (8 - (-1 + 3)) + j. Sort -3, y, p.\nAnswer: -3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -27. What is the closest to 2\/5 in i, -2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33129 times -8?\nAnswer: 265032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -185.92 - -185.549492. Let g = 0.429677 - w. Let a = g + -0.8. What is a rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1311 + 4511?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 4. Let h be x(2). Suppose 3*a = -5*u - h*u + 312, -2*a - 232 = -4*u. Calculate the greatest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/4 - 27*p**3\/4 - 103*p**2\/2 - 78*p.\nAnswer: -p*(p + 2)*(p + 12)*(p + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -4*o - 165. Which is the second biggest value? (a) o (b) -1\/5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7459.\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from jhjjwtt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3242454 (base 6) to base 5.\nAnswer: 20130224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mffmvmfvfvvf. What is prob of picking 3 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 14) to base 4\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1899 = -3*b - n, 11*n - 14*n - 623 = -b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 2. Let z be o(0). Suppose 1 = z*v - 13. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -30*o**2. Let n(t) = 11*t**2 + 2*t. Give n(k(p)).\nAnswer: 9900*p**4 - 60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 22790*h**3 + 22791*h**2.\nAnswer: -h**2*(h - 22791)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -69*p + 7*p**2 - 4*p**2 + 4*p**2 - 1 + p**3 + 76*p. Let u = 0 - -5. Calculate the remainder when w(-3) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 24505.84 tonnes?\nAnswer: 24505840000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57589155?\nAnswer: 3, 5, 13, 98443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 49673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h + 3*v + 39 = 28*h, 0 = -v - 8. Solve -k - h = 2*i - 4, 3*k + 4*i - 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, and 1 m when three letters picked without replacement from ezpzmpxe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 - -166?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003406693 to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 680?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4761 is divided by 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59262.5761 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 750396 - 2384604. Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 1 y when three letters picked without replacement from {e: 7, m: 4, c: 2, l: 4, i: 1, y: 2}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/(-7)*(-4 + (-836)\/8). Let l(t) = 930*t + 7*t**2 - o*t. Let d be 1\/6 + (750\/(-36))\/(-25). Determine l(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 12*m**2 + m + 5. Let a be l(5). Let h = 24 + 16. What is the greatest common factor of h and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3600 + 3603. Suppose -27 = 5*z + 8. Sort -0.1, g, z in descending order.\nAnswer: g, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726272.\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/((-25)\/300).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37835, -77403, -116971, -156539, -196107, -235675?\n\"Answer: -39568*m + 1733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 236*j**5 + 241*j + 1302. What is the derivative of f(n) wrt n?\nAnswer: 4720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(-47) assuming t is positive.\nAnswer: t**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*s + 3*b - 18, -3*s - 20 = -5*b. Suppose s = -25*c + 76 + 24. Solve -2*g + n + 7 = 0, 2*g - 4*n = -0*g + c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/11)\/(c*c*c\/(c**(-1)*c)*c))\/(c**(1\/3)*c*c**2))**5 assuming c is positive.\nAnswer: c**(-1225\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412332269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129 and 552.\nAnswer: 23736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*u - 92, -5*l = -4*u - 394 + 150. Solve -2*b + l*b + 138 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c*t**3 + 3*c*t + 2*c + t**3 + 3*t**2 - 23*t wrt t.\nAnswer: -24*c*t + 6*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304876 = 25*h + 70074. Let a = 27147 + h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - q - 1. Let b(o) = -4*o**2 + 56*o + 248. Let v(r) = 8*a(r) - b(r). Let v(l) = 0. Calculate l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.33 times -0.196?\nAnswer: 20.05668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 211\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 71*m**2 + 97*m - 163. Let d be s(-34). Solve 28*b + 21 = d*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = 3*l, -40 = -0*v + 5*v + 3*l. Suppose -4*x + 5*p - 17 = 0, 0 = 5*x - 5*p + 3*p. Let c = 4 - x. Put 3, v, c in ascending order.\nAnswer: v, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8*(21 + 3)\/(-3). Let b be (-255)\/(-10) - 2\/z. What is the greatest common factor of b and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/30 + 30*l**5 + 8512*l**4 + 200704*l**3\/3 + 3321*l**2. Factor h(c).\nAnswer: 4*(c + 2)*(c + 224)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 34110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -182 + 84 + 28*t + 78 + 48*t**2 = 0. What is t?\nAnswer: -1, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q\/q**1)\/q)**(-4))**33*((q**1)**(5\/4))**(-2\/43) assuming q is positive.\nAnswer: q**(-11357\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 8\/2*-2. Suppose s = 6*y - 5*y. Suppose 36 = 4*o - f - 4*f, y = -3*o - 5*f. Solve -2*i + 3*t - 9 = 0, -3*t = -o*i - 5*t + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccvc when four letters picked without replacement from ccccvcvecceccccccecc.\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6145 times 5523\nAnswer: 33938835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 3*q**2 - 2*q**2)*((-1 - 1 + 0)*(3 + 0 - 1) + 4 + 1 - 3 + 0 + 0 - 1 - 3 + 1 + 1 + (1 - 2 - 1)*(0 + 1 + 0)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21014\/(-553)*-7*(-3)\/(-63)*-3.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 8)*(0*a - a - a + (2 + 0 - 1)*(-4 + 4 - 5*a) + 1 - a - 1 + 1 - 1 + 2*a)*(-2*a + 2*a - 2*a**2).\nAnswer: -84*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 13*u**2 - 6*u - 18. Give c(-13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w + 13. Let c(l) = -5*l + 12. Let p(z) = -5*c(z) + 6*o(z). What is the least common multiple of 4 and p(-13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, j: 4, w: 2}. Give prob of sequence swwj.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007105471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(sqrt(1216) + 2 + sqrt(1216))*2 + -2 + (sqrt(1216) - (1 + (sqrt(1216) + 0)**2)) + sqrt(1216) + 5.\nAnswer: -1203 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 3*a. Let l(t) = -17*t**2 + 8*t. Calculate -2*l(w) - 7*z(w).\nAnswer: -8*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -0.04, 266310?\nAnswer: 266310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*l + 63*l + 197 = 0. What is the first derivative of 187*v**3 + 40*v**3 - 100*v**3 - l wrt v?\nAnswer: 381*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*u + 18 = u, -2*u = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 653\/9, -0.5, 3, -0.2 in decreasing order.\nAnswer: 653\/9, 3, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-384)*-4*1*-1*2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 130130323113 (base 4) to base 5\nAnswer: 3402133034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8698 * -574.\nAnswer: 499.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.11 - 0.11. Let h = -82 - -53. Let w = 29.3 + h. Sort w, -2\/13, m in ascending order.\nAnswer: -2\/13, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-12)\/(-726))\/((-132)\/(-726))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25220, 25227, 25254, 25313, 25416, 25575, 25802, 26109?\nAnswer: 26508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6720*i**2*m - 48*i*m + 6*i - 35659102*m with respect to i.\nAnswer: 13440*i*m - 48*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -223 or -236?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/3 - 55*m**4\/3 + 175*m**3\/3 + 55*m**2\/3 - 58*m = 0. Calculate m.\nAnswer: -58, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 94?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -287816 divided by 239?\nAnswer: -287816\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/48 and -11\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6)*(-10 - 127070\/(-20)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 s when three letters picked without replacement from {s: 3, c: 2, t: 2, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 134413.99 to the nearest one hundred.\nAnswer: 134400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -164, 3.0731, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - 3*o**2)*(-2*o**2 - 3*o**2 + 0*o**2 + 0*o - 2*o**2 + 0*o + (-o**2 - 3*o**2 + 3*o**2)*(4 - 3 + 0)).\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1701 divided by 243\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**5 + 38529*y**4 + 194691*y wrt y?\nAnswer: -20*y**3 + 462348*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 37*a**2. Let q(z) = 39*z**2 - 4*z - 59. Let t(g) = -117*g**2 + 11*g + 162. Let y(d) = 11*q(d) + 4*t(d). Determine l(y(i)).\nAnswer: 56277*i**4 + 2886*i**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*b = -414, 867 + 321 = 3*h - 3*b. What are the prime factors of h?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 1, -3, -27\/10, -0.08, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 0.2, -1\/2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 6*v - 46 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4.2724 (b) -28 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4)*2*0. Let p = 2 - -7. Let g = b + p. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4953564 and 16.\nAnswer: 19814256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 82 = -11*m. Let i = 43 + m. Is (544\/(-10) + i)*35\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3251066 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 157183675885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9393002 to the power of 1\/2, to the nearest integer?\nAnswer: 3065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9905?\nAnswer: 5, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 518 + 562. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -46*u**2 + 5*u - 1142. Let p(d) = -11*d**2 + d - 280. What is -4*o(b) + 17*p(b)?\nAnswer: -3*b**2 - 3*b - 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.414 + -11.414. What is the closest to -1\/19 in r, -2\/9, 11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3236104 to the nearest integer?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**29*i)**(-20)*i**(1\/15)*i*i**(-22) assuming i is positive.\nAnswer: i**(-9314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*m = 5*a + 121, -2*a + 3*m - 52 = 0. Let i = -21 - a. Solve 8 = -2*f + c, 0 = -i*f + 6*f - 5*c + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 11*l - 9. What is o(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 261730 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.8 - 1.2. Let w = 8 - -1. Let d = h + w. Sort 4, -4, d.\nAnswer: -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2072991071?\nAnswer: 47, 44106193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*6\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.4, 3, 4, 3\/2, 1432.\nAnswer: -0.4, -0.01, 3\/2, 3, 4, 1432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:46 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.9, -82, -1\/31, 2\/9, 3\/8, -2 in decreasing order.\nAnswer: 3\/8, 2\/9, -1\/31, -2, -9.9, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 98.045. Let y = 0.055 - c. Which is smaller: -30 or y?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p - 7. Let c be (1\/(-2))\/(74\/12 - 6). Let l be a(c). Solve 5 = -0*h + l*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:18 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 328875*g**2 + 101*g. Let m(t) = -2*t**2. Give o(m(v)).\nAnswer: 1315500*v**4 - 202*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 31*u**2 - 40*u - 304. Let a be t(-15). Solve -3*q - 71 + a = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 - -217. Let r(o) = 4*o - 76 + u + 5*o + 2*o. Let z be r(7). What is the greatest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**3 + 47 - 47.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z + 3. Suppose -847*j**5 + 850*j**5 + 0*j**z - 3*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 5*l - 5*l - 19 - 15*l**3.\nAnswer: -15*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/9, -2486, -1.1, 0.2, 6, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*p**4\/5 + 1064*p**3\/5 - 1628*p**2\/5 - 1368*p - 810 = 0.\nAnswer: -1, 45\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.6395 rounded to 1 decimal place?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + sqrt(125) + 6*-3*sqrt(125) + 3*sqrt(125)*-4 + 2*-1*(2 + sqrt(405) + -1))**2.\nAnswer: 632*sqrt(5) + 124824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a century in months?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -17 + 16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6 - (3 + 1 - -6)) + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 = -2. Which is bigger: 3\/10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 34 = 5*v, j + 0*v - 16 = 2*v. Calculate the remainder when 20 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 - 1.88. Let l = 0.08 + i. Which is the smallest value? (a) l (b) 1\/8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anqcc. What is prob of sequence qaq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - o**2 - o + 1. Let g(r) = 7*r**3 - 10*r**2 - 7*r + 8. Let n(p) = g(p) - 6*k(p). Let w = 4 - 0. Suppose -2*l = -w*l + 8. Calculate n(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1706, 3664, 5622, 7580?\n\"Answer: 1958*g - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**5\/330 - q**4\/66 - q**3\/11 + 45*q**2\/2 + 53. Let y(n) be the second derivative of m(n). Factor y(o).\nAnswer: 2*(o - 3)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518564552 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -218.\nAnswer: -5\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -21*z + 204 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*(-7)\/((-63)\/(-510))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-126) - (-2)\/(-12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (7 + -11 + 4) - -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*v + 5*v - 21*v - 5*v + 4*v - v + (0*v - v + 3*v)*(-2 + 0 + 1) + 1 - 1 + 2*v)*(0*v**2 + 0*v**2 - 6*v**2) to u*v**2 + l*v**3 + p*v + q and give l.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 3*j. Suppose -2*h = -0*h - 36. Suppose j = 7*n + 3 + h. Put 9, n, -4 in increasing order.\nAnswer: -4, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 1 (b) -0.2 (c) 17.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19794 + 37117 = -2471*w + 125503 + 153798 for w.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*r - 6, -2*s + 12 = 3*s + 4*r. Solve 3*o - 3 = m, 4*m - 22 = -s*m - 5*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(91)*2*-6)\/(-1*sqrt(343) + (sqrt(28) - (sqrt(28) + sqrt(112)))).\nAnswer: -12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) + 77\/(-5). Let r be 8\/12 - (-1)\/n. Which is the second smallest value? (a) r (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059*r = 950*r - 1744 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 s when four letters picked without replacement from sggsygsyygg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4\/(-24)*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 3. Let x be h(-5). Let v(c) = -c**2 + 672. Let t be v(23). What is the highest common factor of t and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74, 150, 226, 302?\n\"Answer: 76*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/414846 and -32\/207423.\nAnswer: 414846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 4:46 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -7 in ascending order.\nAnswer: -7, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7 - 2)\/3)\/(0 + (-21)\/(-77))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -490 + 522. Calculate the greatest common factor of 208 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15, -646 in decreasing order.\nAnswer: 15, 0, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*x = -4*q + 21, 3*q - 66 = -x - 67 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**2. Let d(w) = 160*w**2 - 22*w + 11. Let g(v) = 32*v**2 - 4*v + 2. Let x(j) = -2*d(j) + 11*g(j). Give x(o(z)).\nAnswer: 7200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w - 2*k + k, 2*w + 2 = -5*k. Suppose h - 48 = -w*r + 3*h, 42 = 3*r - 3*h. What is the highest common divisor of 70 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + -4*(2 + (6*(sqrt(567) + -2))**2 + sqrt(567) + 3 + sqrt(567) + 3 + sqrt(567))).\nAnswer: -246765 + 15228*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 6*c - c + 5*c - 4*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1050 and 14350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -14*c. Suppose y - 22 = -2*d, -4*y = -d + 3*d - 58. Let w(x) be the first derivative of 0*x - 2 + 1\/2*x**2. What is y*w(q) + g(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -10. Let d be -2 + 1 - (0 + t). Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 20. Let w be k(-11). Suppose 91 = -w*y + 729. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 625280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) -4 (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 2*k. Let a(r) = 2*r**2 + 3*r + 1. Let c be 16\/(-56) + 48\/21. What is c*a(y) + 3*h(y)?\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(2)*2 + sqrt(2) + sqrt(2)) - sqrt(24) - (-2*sqrt(144))\/sqrt(6))\/(sqrt(88)\/(sqrt(44)\/sqrt(4)*1)).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -1) + (19 - 17) + -18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -36.47281\nAnswer: -14.589124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094885 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v + 738 - 698 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -10. Suppose 4*n + w = 4*a - 3*a, -2*a + 6 = -n. Suppose -a*b = -b - 26. What is the greatest common factor of b and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 4585656?\nAnswer: 32099592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 15*i**2 + 26*i - 3. Let w be l(-12). Suppose -w*v = -121*v + 1632. What is the highest common divisor of 51 and v?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*k + 8 = 0, -2*g = k + 3 + 1. What are the prime factors of ((-1)\/g)\/(1\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/9 + (-7)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482564295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**(-23)*y))\/y*y*y)**(-7))**(20\/13) assuming y is positive.\nAnswer: y**(-3500\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((1\/(-3))\/(4\/(-60))). Let y = -0.347 + 0.247. What is the closest to 53\/3 in 1\/6, y, r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 18064 = x, 0*p + 2*x = 4*p + 24084. Let g = -2979 - p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89571564*j**5 - 12*j**2 + 510549*j wrt j?\nAnswer: 5374293840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.0494, -2\/7, -23, 4 in decreasing order.\nAnswer: 4, 0.0494, -2\/7, -0.3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*i - 165. Let k = 81 + i. Let d(o) = o**2 + 6*o - 4. Let m(b) = 3*b**2 + 17*b - 11. Calculate k*d(p) - 4*m(p).\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 41. Let r(x) = -177438*x. Determine r(q(i)).\nAnswer: 177438*i - 7274958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1816767525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -977, 15655, 9?\nAnswer: -977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*j - 40, 5*a + 13 + 47 = 2*j. Let n be 268\/a*(-1 + (-4)\/(-8)). Let w = -613\/45 + n. Put 0.1, -0.2, -0.8, w in increasing order.\nAnswer: -0.8, w, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 177. Let o = r - 124. Solve -2 = q, -o = -4*h + 2*q - q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 27. What is r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 6:13 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009951 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -91*-2\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8112.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 - 10975*i\/2 + 120483.\nAnswer: (i - 10953)*(i - 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -302 - -300. Let k be (v\/12*-3)\/(24\/(-18)). Which is the nearest to -1? (a) 3 (b) -4\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995851 + 995907 = -7*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 - 19*g + 8.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**21\/o)\/(o*(o*o\/(o*o**(-3\/7)))\/o)*(o**5\/o)**(-5\/6) assuming o is positive.\nAnswer: o**(320\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 13. Let o be s(0). Suppose 11 + o = 4*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19919, 19917, 19903, 19871, 19815, 19729, 19607?\nAnswer: 19443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 - -98. Let n(x) be the third derivative of -x**4\/24 + x**3\/6 - 10*x**2. What is the lowest common multiple of n(m) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 + 2*n**4 - n**4 - 2*n**4 + 0*n**4 - 3*n**4 + 2*n**4 - 3*n**2 + 3*n**2 + (-3*n + 3*n + 2*n)*(2*n**3 + 4*n - 4*n))*(1 + 2 + 0).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 2, j: 2, n: 1, k: 4}. Give prob of picking 1 l and 1 f.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2385272 (base 10) to base 8.\nAnswer: -11062570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/330979 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9515415 from 0.2277.\nAnswer: -9515414.7723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3) + 5\/(-5). Let v = 2 - 0. Let k = 1 - v. Which is the closest to -1? (a) m (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 264 - 264 - 5309*k + 33409*k as n*k + b and give n.\nAnswer: 28100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f - 27*f = -826. Solve 3*d - 1 = f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w + 3*i + 5, 0 = -4*w + 5*i + 19. Let z = -9.6 - -9. Let v = z - -0.5. Which is the biggest value? (a) v (b) -2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3028 - -3030. Let p(q) be the second derivative of -18*q + 33\/2*q**t + 0*q**4 + 0*q**3 + 27\/20*q**5 + 0. Differentiate p(o) with respect to o.\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -66 + 28 - 9*u + u**2 + 19 + 21 + 0*u**2. Give q(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22140 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6.3. Let m = -0.8 - j. Suppose -5*k - 12 = -8*k. Which is the nearest to 2\/7? (a) m (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -6, 0, 21 in decreasing order.\nAnswer: 51, 21, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 441 - 218. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339 equal to 3508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/274 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9813496 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54007968, 54007969, 54007970, 54007971, 54007972?\n\"Answer: j + 54007967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 10466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q + q + q)*(0 + 0 - 2*q) - 3*q**2 + q**2 - 3*q**2 + 0 + 2*q**2 + 0)*(4 + 4 - 5)*((2 + 2 - 5)*(0 - 1 - 1) - 6 + 2 + 3).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.065 (c) -0.1 (d) -194 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 17. Let g = a + 2. Suppose -g*b + 13 = -32. Solve -2*c + 1 - b = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**6\/40 - 23*c**5\/20 + 31*c**4\/3 - c**3\/3 - 118*c**2. Find the second derivative of v(h) wrt h.\nAnswer: -18*h - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/12 - 2)*0. Let m = 10 + s. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -179*(-1 - (3 + -3)) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 5*r**3 + r**3 + (0*r**3 + 4*r**3 - 5*r**3)*(2 - 1 + 1).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 8. Suppose -4*m = u + 26, -2*m - u - 16 = -4. Is o bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68352470?\nAnswer: 2, 5, 461, 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 292418760 rounded to the nearest 1000000?\nAnswer: 292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - w**2 + 2*w - 2. Let n(y) = -7*y**3 + 11*y**2 + 6*y - 17. Let j(o) = -n(o) + 3*r(o). Calculate j(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10558315 = 10558299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b - 63. Let m be x(-5). Suppose -m*g + 1122 = 3*y - 3608, 2*y = 4*g + 3164. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2112, -4611, -7156, -9771, -12480, -15307?\n\"Answer: -4*l**3 + l**2 - 2474*l + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8263925?\nAnswer: 5, 330557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 2*x. Let p = -2 + 5. Let o = p + 0. Let t(q) be the third derivative of q**6\/120 + q**5\/20 + q**4\/8 + 4*q**2. What is o*v(s) + 2*t(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*h + 2 + 2 - h - 2 + (14 - 6 - 10)*(122 - 122 - 19*h).\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 10, -3\/8, -0.5, -3658?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*y = 72 + 83 + 117. Let b(n) = 629*n**3 + 119*n + 119. Let f(d) = -21*d**3 - 4*d - 4. Determine y*b(k) + 119*f(k).\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiuiuguguguu. Give prob of picking 2 i.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + (50 - 52) + -7 + 103 + -14.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -87*d - 2347. Let n be p(-27). Let z = 5 + -3. Which is the nearest to z? (a) 2\/17 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -22. Suppose a = 5*y - 6. Suppose y*b + 2*o - o = 106, -5*o = -3*b + 68. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1356, -5347, -11990, -21279, -33208?\nAnswer: -47771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 17*h - 426. Suppose -g - h = -75. Solve g*o = -3*b + o - 15, 2*b = -3*o - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.049*-1236.\nAnswer: -60.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 39*g**2 + 998. Let c = 2 + 0. Let k(w) = -14*w - 2*w**c + 14*w + 0*w**2. Determine k(h(r)).\nAnswer: -12168*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3608 and 2816.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*k + 8916 - 2971 + 4648 = 0 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 3:33 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.22 (b) -3\/4 (c) -5 (d) -4\/5 (e) -6.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 5. Let b(x) = -2*x + 14. Let f = -65 + 57. What is f*j(y) - 3*b(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17364*l**3*r**2 + 2*l**3*r*x + 137*l*r**2*x + l - 3*r**2*x - 2*x wrt l.\nAnswer: 104184*l*r**2 + 12*l*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2044440343324 - -10?\nAnswer: -2044440343314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2117 - 1476. Suppose -3*t + n = 143. Suppose -t = -4*z + 346. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407374740419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*v + 1630 = 489*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 * -0.314\nAnswer: 9.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1627, 12920, 43569, 103252, 201647?\nAnswer: 348432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-178)\/(-15) - (-20)\/150. Solve 0*w + 4*w = -d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*j - 5296, -2*j = 2*v + 1230 - 11816. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(480) + (-1*sqrt(480) - sqrt(480))) - -5*(2*sqrt(480) + sqrt(480)))\/(sqrt(100)\/((sqrt(40)*-1 - sqrt(40)) + sqrt(40))))**2.\nAnswer: 55488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2050534 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 6*h + h)*(3 + 2 - 4)*(-2*h**2 + 3*h**2 + h**2) - 3*h**3 + 0*h**2 + 0*h**2.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2366885 or -2366876?\nAnswer: -2366885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t + 12. Let r be (6 - 1) + 8\/(-8). Let i be y(r). Let j be ((-4)\/i)\/(1\/4). Solve -21 = 4*n - j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.033, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 65*w**2 + 307*w + 7. Let q be c(-5). Let p = -7873 + 54921\/7. Are p and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 60, 101, 158, 231?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 8*d**2 - 8*d - 2. What are the prime factors of v(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l + 15. Let m be u(10). Let j = m - -47. What are the prime factors of ((-316)\/8)\/((-1)\/j)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -931.\nAnswer: 11\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/7 (b) 12 (c) -3\/2 (d) -1\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.88 - 24.98. Put -5\/3, w, 2\/145 in ascending order.\nAnswer: -5\/3, w, 2\/145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.12 - -12.7. Which is the nearest to -2\/7? (a) 0.4 (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 7211574.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 530 = i. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35945886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 25 + (2 - 21).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -12 (c) 1\/3 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**3*v**3*w - 148226*m**3*v*w**3 + 35*m**2*v**3*w**3 + 167*m**2*v**3*w + 191*m*v*w**3 wrt m.\nAnswer: -18*v**3*w - 889356*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 2. Let k(v) = -v**3 + 2*v**2 - 2. Let f be k(2). Let x = 15368 - 15362. Calculate the remainder when m(f) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 21*q = a - 7, -4*a + 16 = 4*q. Suppose a*m - 5\/2 - 5\/2*m**2 = 0. Calculate m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6941*r**5 - 507*r**2 - r - 1 wrt r?\nAnswer: 416460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 30307401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 4*b + 70. Let x be 36\/b + (-12)\/21. Is x\/(1\/993*3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1893 + 10449 = -17*k. Let w = k - -1169. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 14976 = -10*a. What is the greatest common divisor of 36 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. Let b be (y\/6)\/(3\/6). Let i be 72\/(-20) + 3 - b. Sort -2, -1, i in increasing order.\nAnswer: -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409702.\nAnswer: 2, 7, 100693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/180)\/((-1)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 3.5. Let d(h) = 2*h - 34. Let w be d(39). Let y be 33\/w*4\/6. Which is the nearest to -1? (a) y (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -2*g**3\/3 + 5. Let q(k) be the third derivative of -k**5\/60 + k**2. Suppose 0 = 3*o + 7 + 5. Give o*q(z) + 3*l(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 53. Let q(g) be the first derivative of -3*g**4\/2 + 7*g**3 + 21*g + 1. Let j(y) = y**3 - 4*y**2 - 4. What is l*q(m) + 21*j(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -35*z**4 - 5*z**3 - 13*z**2 - 5. Let g(v) = -18*v**4 - 2*v**3 - 7*v**2 - 2. Let j(x) = 5*g(x) - 2*r(x). What is the third derivative of j(c) wrt c?\nAnswer: -480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.4 - -4.4. Let j = y - -27. Which is the fourth biggest value? (a) j (b) 2\/9 (c) -0.4 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(2 - 3)*-3*(-4466)\/42 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002060466 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37982 (base 14) to base 9\nAnswer: -227012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/9 (b) -4 (c) -3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0864 - 0.0164. Let f = -3 + 3.07. Let i = f - l. What is the closest to -3 in i, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 5, b: 5, w: 4, j: 1}. Give prob of sequence wjb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m*m)\/((m*m**(-5\/6)\/m)\/m) assuming m is positive.\nAnswer: m**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4)\/(-12)*0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1)\/((64 - 23) + -81 + 76)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18633449 is divided by 33038?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001381 to six decimal places.\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n - 1. Let m be y(1). Let a = -11 - -10.93. Let u = 0.03 - a. What is the nearest to u in -5, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 7:26 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/149544*-116310 + 14. Do -1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:45 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*t - 149 + 6*t + 7*t + 2*t - 191*t**3 + 2*t**2 + 142 as w*t**2 + z + u*t + o*t**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -48, -2\/5, 1.5 in descending order.\nAnswer: 103, 1.5, -2\/5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3 + 14590*d**2 + 75*d + 6317055.\nAnswer: -6*d**2 + 29180*d + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 3536794?\nAnswer: 2\/1768397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:35 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 6*o + 3. Let h be b(2). Let s = 15 - 9. Suppose -s*n + 3*n = -12. Solve n*r + 5 = -h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3586 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30520019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*-2.5\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 11*c + 18. Let r be p(-9). Solve 5*j - 3 + 23 = r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + k = -35*p + 6, 0 = -5*k - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.299 and -1528998.\nAnswer: -457170.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3, -13999, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = 4*a, 5*x + 4*a = 4 - 13. Suppose 0 = -4*m - 3*v + 66, -3*v - 13 - 26 = -3*m. Suppose 0 = j + 4*j - m. Is x at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-1)*a)*a*a)**(-39)\/(a**(2\/13)\/a*(a*a**(-3)\/a)\/a))\/((a*a\/a**2*a\/a**0)\/(a*a**(-2\/3)*a\/(a\/((a\/(a*a**2))\/a*a*a)))) assuming a is positive.\nAnswer: a**(124\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002656576029 rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84072 and 12882?\nAnswer: 1597368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 33243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2. Let l(t) = 1203*t**2. Calculate l(c(x)).\nAnswer: 19248*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 - 15 = 0. Let r(m) = m. Let q(y) = 14*y. Calculate d*q(a) + 10*r(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 30*g**2 + 7*g - 101. Let k be n(15). Solve o + 2 = q - 1, o + 15 = k*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37064265\/4 or 9266065?\nAnswer: 9266065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 4*w - 1004 = 10*t, -2*t + 428 = 5*w. What is the remainder when t is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 58*q + 56. Let g be n(1). Suppose -2*h - j = 2*j - 2, 4 = 4*h - 2*j. Let l(v) = v**2 - 3*v - 3. Let r(i) = -i - 1. Give g*r(o) + h*l(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33591*b**3 - 33587*b**3 + 134144*b**3 - 33369*b**3 - 33587*b**3 + 1 - 1.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -137, -204, -271, -338?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/35*70\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -9*c + 23. Factor -c - 5*l**2 + 5*l - 23*l**2 + 31*l.\nAnswer: -4*(l - 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-304)\/(-380) - (-56)\/5 - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 - 16*l**2 - 5*l - 3. Let k(x) = -x**3 - 5*x**2 - 2*x - 1. Let j = -11 - -19. Let r(b) = j*k(b) - 3*y(b). Is r(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 750 + -744.91. Let h = c + -0.09. Let f = -2337 + 2336. Is f at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2654, 5308, 7962, 10616, 13270?\nAnswer: 15924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102220222200 (base 3) to base 13.\nAnswer: -365823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1435774.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5340 = -8*y. Let b = 8563\/8 + y. Calculate the common denominator of (-3)\/9*(-474)\/4 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 - 67*j + 12*j**2 - 12*j + 134*j**3.\nAnswer: 134*j**3 - 79*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.42 + -3.42. Suppose -c - 4*c = 0. What is the third biggest value in c, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 - -131. Let v be ((-4)\/k)\/(8\/84). Let d(q) be the second derivative of q**5\/20 - q**4\/2 - 3*q**3\/2 + 4*q**2 - 2*q. Calculate d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 2 - 23*g + 4*g + 5*g.\nAnswer: -10*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:17 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 950 - -27?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrwr. Give prob of sequence rw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -4794292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.08653 * 0.1939\nAnswer: -0.016778167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2))\/q**(6\/5))\/(q**3)**14 assuming q is positive.\nAnswer: q**(-221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r - 13. Let z be 1\/((-129)\/(-33) + -4). Let h = z + 22. What is the units digit of u(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -d5?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 579719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-3 - (390\/20 - 12) - -11). Factor z**2 + 1\/2*z**4 + 0 + 0*z + f*z**3.\nAnswer: z**2*(z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.341 + 0.441. Which is the fourth biggest value? (a) -0.3 (b) -1\/5 (c) -3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1670*l + 1057106. What is r(-633)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 3. Let l = -0.617 - -0.6485. Let k = 0.1685 + l. What is the fourth biggest value in r, 2\/17, k, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*l + 29, -4857 = -4*v + 4*l - 4837 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(315\/(-45))*8\/((-416)\/(-65)).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 336618829 and 336618829 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.313 rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/2 + 4469*s - 530823\/2 = 0.\nAnswer: -8997, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 241425 and 9435.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*n + 59*n = -408. Calculate the remainder when 119 is divided by n.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*h**2 + 3 + 485*h**2 - 256*h**2 - 3.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46308825?\nAnswer: 3, 5, 205817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/3 + 18886*m**3\/3 + 2414651*m**2\/3 = 0.\nAnswer: -127, 0, 19013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4349 = 320*y - 3011 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, j: 7, v: 1}. What is prob of sequence jjtv?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18808 + -18808.2. Which is the third biggest value? (a) m (b) 6 (c) -1 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Let r(i) = -i**3 + 2*i**2 + 2*i - 1. Let q be r(x). Suppose -3*v + 2*v = -q. Solve 3 = -u + v*l + 15, -l - 4 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4783509, -9567016, -14350523, -19134030, -23917537, -28701044?\n\"Answer: -4783507*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 0 + 7 - 4*t + 12. What is p(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -21*a**2 - 687*a - 5500. Give o(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -12*c + 13*c. Suppose -c*f - 6*s = -2*s - 64, f + 4*s = 28. What is the first derivative of 2*a**4 + 12*a**4 + 1 - 2*a**4 - f wrt a?\nAnswer: 48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Let d = 0.101 + -4.201. Let h = 1.1 + d. Which is the third smallest value? (a) 0.2 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t = 48*t - 21111. What is the remainder when t is divided by 109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 463.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011011101110 + 1100?\nAnswer: -101011011011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - 69a8?\nAnswer: -69b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.163, -31, -0.4, -2, 2\/5, 5?\nAnswer: 0.163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 90.801 from 2.\nAnswer: -88.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 665929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-142)\/(-2)*(-5 - -4). Let m(f) = -49*f**3 + 6*f + 2*f + y*f**3 - 7*f. Calculate m(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-195)\/(-45) + (1 - 2) and -61\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.6611 and -0.3.\nAnswer: -4.69833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 36*v = 7. Calculate the least common multiple of 5*v\/(-105) - 188\/(-3) and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262 - 280. What is the remainder when 93 is divided by q\/(-81) - (-428)\/18?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/24 (b) -5 (c) -4\/7 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149780719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 2*z + 4*z + 3*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 461 or -239?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 + 3*b**2 + 5*b - 7. What is the remainder when u(2) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*x - 4 = 0, -5*x - 32 = -39*p + 42*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6547500 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/13)\/(n\/n**(1\/5))*n**(-8)*(((((n\/(n*n\/(n**(-3\/7)\/n)))\/n)\/n)\/n)\/n*n)\/n*n*n*(((n\/n**(1\/2))\/n)**(2\/41))**(-6) assuming n is positive.\nAnswer: n**(-245484\/18655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 3. Solve -f - 4*f = -2*j + 6, 3*f + o*j = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517 = -38*h + 2683. Suppose -3*f + 195 = -h. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 2*m + 1. Suppose 2*y - 2 = u - 6*u, u - 4*y = 18. Let r be 0*(-1)\/3*(5 - 6). Let b(z) = r*z - z + 2*z - 2*z. Give u*f(l) + 3*b(l).\nAnswer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (6 - 8 - (1 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.62 and -1067?\nAnswer: -27336.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2283, -3504, -4733, -5976, -7239?\n\"Answer: -n**3 + 2*n**2 - 1220*n - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 22*y + 3. Give l(15).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 490\/(-63) + (-2)\/9. Let k(o) be the third derivative of o**4\/24 + o**3\/3 + 6*o**2. What is k(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*c + 79, 26 = 2*q - c - 5. Suppose -l + 13 = q. Let o be l*-4*(-55)\/20. Are o and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 1926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Suppose 0 = n - 23 + 2. Solve 0*c = 3*k + q*c + 6, -3*k - n = -2*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*l = 79*l - 34422. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 3*v**2 - 5*v)*(-1 - 26 + 4*v - 3*v).\nAnswer: -3*v**3 + 81*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q - 3*q)*(-4*q**3 - 5*q**3 + 3*q**3) + (-2*q**3 + q**3 + 3*q**3)*(-7*q + 22 - 22).\nAnswer: -26*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 4*d**2 - d - 1. Let a be s(-4). Let z be (2 - 2) + (a - -1). Differentiate 3*n**z + 3 - n + n wrt n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*774.429.\nAnswer: 1548.858","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 10*x + 2. Let v be t(-5). Suppose s - 7 = -4*c + 6, -5*s + 8 = c. Suppose 0 = -v*q + c*q. Which is bigger: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4349 less than -3?\nAnswer: -4352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211, -3\/7, -3.1 in ascending order.\nAnswer: -211, -3.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 3*o**2 - 2*o - 5. Let b(w) be the third derivative of w**5\/60 + w**4\/12 - 58*w**3\/3 + 141*w**2. Let r be b(10). Give q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + s + 4*s - 2 - s**2 + (-2 + 2 - 1)*(1 + 2*s**2 - 1) to the form n*s**2 + a + m*s and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -19. Suppose -214*u + 211*u = -27. Let v be ((-58)\/174)\/(10\/u + -1). Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 43*n**7\/3 + 7*n**5\/60 - 49*n**4\/6 + n**2 + 89. Find the third derivative of y(q) wrt q.\nAnswer: 72240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171759153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-4))\/(-4)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1e0c45 (base 16) to base 13\nAnswer: -53c427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.55 + 0.05. Let f = u - 0.59999966. What is f rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**3\/6 + 5*n**2\/2 - n. Let k be s(0). Suppose q = -2 + 3. Solve 5*g - q = -k*r + 4, -4*g + 2 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 7*v**2 - 71 + 31 + v - 2*v**3 + 2*v**4 to the form h*v**3 + x + c*v + y*v**4 + u*v**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 0.1237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -0.0068.\nAnswer: -0.000408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dd3 - -454c?\nAnswer: 6430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 533 + -643. Let q = -110.00002544 - b. What is q rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-7 - -13)) + -2 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 45. Let l be w(-7). Solve 1 = l*n - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b. Suppose 4*r - 1872 - 3848 = b. Suppose r = -6*n + 7952. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 3:11 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*x - 3*p, x - 2*x + 2 = 3*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 8*g**2. Let z be u(8). Let o be 7 - (-3 + z)*1. Factor o*d**4 + 32*d**4 + 46*d**5 - 4*d**3 - 8*d**2 - d**5.\nAnswer: d**2*(3*d + 2)**2*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10881 - -3871. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.51 - 25.41. Which is the third smallest value? (a) p (b) 5 (c) 3\/8 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 = 23*i + 8*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:53 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1 - 6587*a + 1 + 6585*a. Determine q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155 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: Round -0.0882335047 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9354877 is divided by 4311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {n: 1, f: 11}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*9\/132)\/(123\/164). Suppose g = -3*v - 2, -3*g + 3 + 5 = -5*v. Which is the fourth biggest value? (a) 3 (b) s (c) g (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 631\/5461 - -6\/127. Let r(b) = 3*b + 16. Let l be r(-5). Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157333*d**2*l*x**2 + 34*d**2*x**3 + 4*d*l + 249*d*x**3 - 6*d*x + 2*l*x**2 + 45*x**3 + 3*x wrt d.\nAnswer: 314666*l*x**2 + 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122802230.\nAnswer: 2, 5, 12280223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13242452123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 7687440.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -86502 divided by -43251\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 612\/41 + 13305\/287. Let p = -61 + y. Let n = 0.27 - -0.03. What is the closest to 0 in p, n, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:35 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 13 (b) -2\/39 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 3*y - 2*y)*(-3 + 1 + 0) - 3 + 3 + 2*y + 12*y - 2*y - 4*y in the form c*y + z and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 9*v + 10. Let n be c(7). Calculate the common denominator of (-1 + -1)\/12*n and -79\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/(-5)*(-1120)\/96.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.947 * -886.5\nAnswer: 839.5155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7723*b**2 + 2*b**4 + 191*b - b**3 - 7723*b**2 as m*b**4 + r*b**3 + p*b + h + q*b**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -13*z + 168. Suppose -z*u - u + 42 = 0. Solve -u*f + 4 = -8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 98. What is the remainder when 44 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*j + 16, 3*j + 5*p + 23 = -12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-6))\/(6\/96). Suppose 8 = 17*w - 15*w. Suppose -2*z - w + 8 = 0. Solve h = -4*l + z*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2242 + -2200. Solve -8*q = -22*q + k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let c be s(-3). Let x be (5\/2 + c)*2. Round x to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1603198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 9*o**2 - 8*o + 7. Suppose 0 = 4*w + i - 55, -6*w - i = -5*w - 16. Suppose v + 4 = -2*d, d - 2*d = 3*v - w. Is y(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 + 5*a**2 - 5*a - 1. Let w(q) = q**2 - q. Let y(h) = -i(h) + 6*w(h). Let z be y(1). Sort z, -0.3, 3\/2.\nAnswer: -0.3, 3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*(20\/(-30))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 174 = 2*m, -4*k + 2*m - 38 + 170 = 0. Let x = k + -16. Suppose -3*j = -x - 6. What is the smallest common multiple of 10 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a**2 + 52*a - 236. Give n(5).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 26 = 3*m, -665*m + 668*m = -42 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1 (b) -16 (c) -0.135 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 402\/938*17892\/(-108)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 10*t + 46. Let n = t - -21. Calculate the remainder when 8 is divided by (n\/6 - 0) + (-80)\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141141 and 2079?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 316 + 4?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 663809709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -456 (base 15) to base 13.\nAnswer: -5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times -98.03?\nAnswer: 10.7833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 - -109. Let g = 0.12 - -0.98. Let x = g - 0.7. Sort x, k, 4, -0.5 in descending order.\nAnswer: 4, x, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r - 3*a = 3, 2*r + 33 = 3*a. Let t be 2\/(-3)*(-13208)\/r. Let q = t - -728. What is the common denominator of q and 13\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - 308b5?\nAnswer: -30885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + 1.9. What is the nearest to 0.1 in y, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p + 12. Let i be (-3)\/(-12) - 23\/p. Calculate the greatest common divisor of i and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/9 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 102003, 102005, 102009, 102015, 102023?\n\"Answer: f**2 - f + 102003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56613 - 14*o - 28371 - 28240.\nAnswer: -14*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -12011221000?\nAnswer: 12011220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8919, -8920, -8917, -8910, -8899, -8884, -8865?\n\"Answer: 2*p**2 - 7*p - 8914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9288.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-5)*-42*(-22)\/(-24948)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 6*q**2 + 8. Let i be b(-6). Factor -12 + 8*r**2 - 12*r**2 + i*r + 8*r**2.\nAnswer: 4*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1424 - 7232 = -4*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.1, -4, 17 in descending order.\nAnswer: 17, 0.1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 g when three letters picked without replacement from {g: 2, f: 1, q: 2, z: 2, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -527, -776, -1013, -1232, -1427, -1592, -1721?\nAnswer: -1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 1 - 2*u**3 + 1 + (3*u**2 + 0*u**2 + 2*u**2)*(336 - 39*u - 336) to the form h*u + x*u**2 + s + c*u**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b + 2*b)*(3 + 1 - 2) + (1 - 1 - 1)*(-b + b - 3*b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.14693 - 1.1362114. What is k rounded to four decimal places?\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 0.02, -5, -2, -0.9, -3\/4, 44?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 35860000 to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -25 + (-3 - (4 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -22*f - 1. Let z be v(-1). Let a = z - 42. What are the prime factors of 4\/((-12)\/a) + -1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -4*d + 2*c, 5*d = c + 3*c + 142. Calculate the remainder when d is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -39, 5, -0.5, -90?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -14 - (18 - (22 + -9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.3, -0.6, 186, -12?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 3:30 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1915 - -163?\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l + 3*l + l**2 + 4 + l. What is the units digit of z(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -5 - (-4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.2, 12, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -476, -852, -1254, -1640, -1968, -2196, -2282?\nAnswer: -2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-1\/7)))**(-46)*(q\/(q*q**(-23))*q)\/q**(6\/7))**(-2\/3) assuming q is positive.\nAnswer: q**(-416\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/10*2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -111110111010101?\nAnswer: 111110111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6056 - 4166. List the prime factors of r.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 - (0 - 0). Let k = -4 - -9. Let h be (2\/3)\/((-14)\/(-12)). Which is the closest to o? (a) k (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a microsecond in nanoseconds?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 4\/(-2)*13 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.69*-1.\nAnswer: 4.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 270*b**2 - 9*b - 6*b + 8 + 49*b - 36*b as l*b + s + x*b**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - -385. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from vogwwvttgowtt.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10832575 divided by 8.\nAnswer: -10832575\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(336)*2*-1 - (sqrt(336) + (sqrt(336) - (sqrt(336)*-2 + sqrt(336))*6 - sqrt(336)))))\/(1*2*(sqrt(300) + sqrt(300) + (sqrt(300)*2 - sqrt(300)))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 + -41. What is the first derivative of 191 + 11*x**4 + m + 71*x**4 wrt x?\nAnswer: 328*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by ((-308)\/(-112))\/((7\/24)\/7)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*r - r. What is the common denominator of (2 + r)\/((-22)\/(-4)) and 24\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1243, -1224, -1203, -1180, -1155, -1128?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-33)\/55*2\/(-3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 12*u + 32. Let v be s(9). Suppose v*x = 10, -t + 4 = 4*x - 4. Put 5, 3, t, -2 in ascending order.\nAnswer: -2, t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/153414 and -91\/153414.\nAnswer: 153414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/2)\/(-6*(-1)\/2). Which is greater: 51 or t?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130222113110 (base 4) in base 8?\nAnswer: -34522724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -81a1 (base 13) to base 6\nAnswer: -214432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -797 divided by 1.\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 5*t - 64. Suppose -4*h = -11*h - 77. Let y be w(h). Let a = -2 - -2. Solve 2*g + 3*l - 5 = a, 1 - 4 = -y*g - 5*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3543 - -3531. Let s = 5.7 + -6. Let x = s + 1.3. Is m at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (9 - 4 - 14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 4*o**2 + 0*o**2)*(-95 - 99 + 319)*(2 + 2*o**2 - 2).\nAnswer: 250*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-42)\/(s**(-8)\/(s*s**(-1\/16)*s*s)) assuming s is positive.\nAnswer: s**(175\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Let o be (1\/2)\/(n\/(-66)). Let x = 20 + o. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = -5*r + 10, 3 = -9*p + 6*p - 2*r + 7 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2. Let g be -11 - (-24 + 21 + -6). Which is the nearest to k? (a) 3\/10 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, 2\/3, 2\/383, 0, -1.5 in decreasing order.\nAnswer: 3, 2\/3, 0.5, 2\/383, 0, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-75)\/(-50) + (-2)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 10:17 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*u + 6 = -4, -3*i + 5*u - 18 = 0. Let o be (-1 + 1)*3\/(-6). Suppose -2*m - 1 = -5. Sort o, i, m in ascending order.\nAnswer: i, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 12, -5*y + t + 2*t = 672. Calculate the common denominator of -39\/16 and (-7)\/21 - 542\/y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12)*2*-8. Suppose 26 = 4*s - 3*p + 3, 2*s + 16 = -u*p. Let d = 0.45 - 0.25. Which is the nearest to 1? (a) s (b) d (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-12))\/(((-1)\/3)\/(52\/546))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**8\/588 + 8*g**7\/735 + g**6\/35 + 4*g**5\/105 + g**4\/42 - 15*g**2. Suppose y(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511388.4 rounded to the nearest one thousand?\nAnswer: -1511000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) + 2)*3 + (sqrt(5) - (sqrt(60)\/sqrt(4))\/sqrt(3)).\nAnswer: 6 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d - 1\/4*d**4 + 0*d**3 + 0 + 0*d**2. Let f(r) = -2*r. Determine k(f(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 39. Let s be f*(-51)\/6*-1. Calculate the greatest common divisor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 285, -2254, 3\/5, 3\/7.\nAnswer: -2254, 3\/7, 3\/5, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 + 18 = 5*f. Suppose 0*a - f = -2*a - 2*r, 5*a = r + 320. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + 7. Let x be o(-5). Suppose -4*z = -2*p + x, p - 27 = -p + 5*z. Let a = 2 - p. Solve 19 = 3*r - 0*r - 5*f, f = -r + a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcxgzgs. What is prob of sequence gc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 7*l + 1. Let o be c(-7). Suppose h = o + 13. Suppose 0 = 5*g - 4*g - h. Solve 3*x + g = 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {f: 7, j: 4, m: 2, b: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123\/4 or 31?\nAnswer: 123\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000000010100 - 1011111010001?\nAnswer: -1001011111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -21. Let p be (q\/(-4))\/5*-4. What is the units digit of 3*p - (-3 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 660\/5 + 2\/1. Suppose y + 1 - a = 0. Let n = -54 + y. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 39200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)\/s*s)**(-4\/9)\/(s**(6\/5))**(-3\/5) assuming s is positive.\nAnswer: s**(1582\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -866644.\nAnswer: -3\/866644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 534135 divided by 3?\nAnswer: 178045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 22. Let j(f) = -2*f**2 + 6*f + 7. Let v be j(u). Let k(a) = -a**3 - 4*a**2 - 4*a - 5. Let n be k(-3). Which is greater: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40134.21 - -39932. What is l rounded to the nearest integer?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25838208 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-161)\/(-12) - (-6 - -7) and 103\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (32 + -8 - 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 1, 27?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*k + 518*k - 175*k + 60*k.\nAnswer: 461*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) 3.3 (c) 3\/4 (d) 0.6 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(19))*4)**2.\nAnswer: -1024*sqrt(19) + 5888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 78 + 22 = 0. Let p = m - 8. What is the greatest common factor of 54 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -353 - 7*h**2 - 767 + 8*h**2 - 215 as l*h**2 + o*h + u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 537000986004\nAnswer: -537000985992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*r + 91*r + 256 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102 and -0.01.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 + 5586*p + 551251 = 0. Calculate p.\nAnswer: -97, 5683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 62.46579 nanometers in meters?\nAnswer: 0.00000006246579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 10\/13, -3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*z + 115 = -6, 432 = 4*v + 5*z. Let p = v - 110. Suppose p*m = -234 + 3687. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-669)\/120 + (-6)\/(-30) and (-1)\/2*9\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -99. Suppose 0*n + n + 5*t = 2, -4*n = 3*t - g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9550\/1393 - -2\/1393. Let v = 38\/7 + -92\/7. What is the common denominator of v and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + y**3 + 4*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1 + 7)\/3)\/(3 - 4). Is -3*(p - 124\/3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/6 + 5*j**2 + 231*j. Give q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose i = 1, r*n + 2*n = 3*i - 231. Let q = n - -83. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -80*m**2 - 168. Let f(l) = -7*l. Determine z(f(t)).\nAnswer: -3920*t**2 - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41752*h**3*j**3 - h**3*j - 5658*h**2*j**3 - 10*h**2*j + 5*h**2 + h + 27258*j - 1 wrt j.\nAnswer: -250512*h**3*j - 33948*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.814412ml to litres.\nAnswer: 0.008814412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -6. Let z = j + -4.94. Let s = z - -0.54. Sort 2\/11, s, 0.3, -13 in ascending order.\nAnswer: -13, 2\/11, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 373.9+-614\nAnswer: -240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a6 + -15?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5223671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 152.\nAnswer: -3\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/sqrt(128))\/sqrt(11).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*g + 240*g = 126. Let h(t) = 3 - 3 - 6 - t**2 - 5*t + 17*t. What is the remainder when h(8) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5337320513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/2 + -43\/6. Let q = -0.05 + -0.25. Let p = q + 1.3. Which is the biggest value? (a) y (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 - 12 = 0, 5 = 4*n - 5*m. Suppose n = -5*t - 0*d + 2*d + 943, 915 = 5*t + 5*d. Calculate the greatest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttyyy. Give prob of picking 2 y and 2 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 69, 55, 35, 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + 0.98. Let r = 0.01 - a. Let v = r + -3.93. Put v, -0.1, -2\/7 in decreasing order.\nAnswer: -0.1, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, u: 9}. What is prob of picking 2 l?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -3*t, 2*y = 2*t + 74 - 70. Sort -4, y, -50, -34.\nAnswer: -50, -34, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 645, 1006, 1341, 1644, 1909, 2130, 2301?\n\"Answer: -o**3 - 7*o**2 + 389*o + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/((((s\/(s\/(s*s**(1\/10))))\/s)\/s)\/s))\/(s*s**24*s*s*s*s))**32)**(-13))**(-1\/4) assuming s is positive.\nAnswer: s**(-13052\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 56*x - 15 + x**3 + 22 - 55*x to the form i*x**3 + v*x + a + p*x**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {c: 4, o: 3, r: 11}.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = -6. Let t(m) = -m**2 - 1. Let f(s) be the first derivative of -4*s**3\/3 + s**2\/2 - 3*s + 3. Let v(q) = f(q) - 2*t(q). Determine v(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -20. What is the tens digit of -3*(0 + -1) + t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 6. Suppose 0 = v*d + d - 9. Suppose 0 = -3*r, -3*o + 36 = d*r - 8*r. Solve o = 4*p, -2*j = -3*p + p + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.316 times 1?\nAnswer: -0.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 13 = 4*w, 7*w - 12*w = -4*a - 6. Let z be 6 - 5920\/(-5)*a. Round z to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 15*j + 0*d = -2*d, 0 = 2*d + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 32*f + 65 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 32 = 86. Let v(x) = x**3 - 8*x**2 - 9*x. Let c be v(t). Solve -3*b + 8*b + 15 = c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15570197*j**2*q + 60*j**2 - 47740*j with respect to q.\nAnswer: 15570197*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/5712 + (-2 - 144\/(-68)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3049.283cm to meters.\nAnswer: 30.49283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5051*u - 9074*u + 4195*u to r + d*u and give d.\nAnswer: -9930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*b = -299, s - b + 413 = 346 for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 10*c - 9. Let s be m(9). Suppose q + s = 3. Let p be q\/(-5) - (-65)\/25. Solve 7 + 14 = -5*b + f, -2 = b + p*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73781 = -6724*o + 7553*o for o.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40834 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - -1 - (-1 - 0). Suppose 3*s = 2*d - 11, 0 = -4*d + 2*s + 3*s + 21. Let z = g + d. Which is bigger: z or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7857001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-10))\/(2\/15). Let x = 141 + -78. Calculate the greatest common factor of x and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 342*c**4 + 89*c**2?\nAnswer: 8208*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -25*v - 48. Let a be m(-2). Suppose -2*r + 8 = -2*w + 5*w, -3*r + 2 = a*w. What is the least common multiple of w and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z**2 - 80*z**2 - 1 - 190*z**2 - z.\nAnswer: -330*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1146 - 469 = -u, -b + 555 = -3*u. Let t(o) = -b*o - 555*o + 1105*o. Let v(p) = -3*p**2 + 0*p**2 + p**2. What is v(t(m))?\nAnswer: -200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5 - q**2 + 5*q - 7 + 5*q - 17. Suppose 0 = -4*x + 4*y, 4*y - 1 = -x + 24. Let r be j(x). Solve -4*o + 20 = -3*o - 5*z, 0 = 2*z + r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 - 20201*d - 161820. Determine m(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:20 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001788671 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/5)*j)**(-42\/13)*(j**0)**(-47) assuming j is positive.\nAnswer: j**(-378\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c01 - 3?\nAnswer: 1bdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 16*i**3 + 35029 - 35029.\nAnswer: 16*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2. Let m(j) = 49 - 10*j + 20*j - 10*j - j. Calculate m(w(y)).\nAnswer: -2*y**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 12:53 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852 = 348*g - 3900 - 2172 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510\/(-2376) + 21\/12?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + (sqrt(1300) - (sqrt(1300) - 1*sqrt(1300)) - sqrt(1300))*-3 + sqrt(1300) + 0)**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-344)\/(-32) - (12\/4 - -2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227\/56 + 31\/7. Let m = 37 - 69. Let w = -33 - m. What is the nearest to w in q, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 26*s**2 - 826*s - 55. Does 14 divide z(-41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 72*v. Let c(p) be the third derivative of p**4\/4 + 71*p**2. What is c(y(a))?\nAnswer: 432*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-540)\/108 - (-280)\/(-47) - -11.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2025400229 to the nearest integer?\nAnswer: 45004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 6. Let o be p(-8). Let j be o\/5 - 159\/(-15). What is the highest common factor of j and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139747472?\nAnswer: 2, 389, 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74777\/8 + 9336. What is the common denominator of 107\/3836 and o?\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 18 = -18*r. Suppose -v = r*y - 229, -4*v = -7*y + 6*y - 968. List the prime factors of v.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 4212, 50, 3, 4, 2.\nAnswer: -5, -4, 2, 3, 4, 50, 4212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9817273, -9817257, -9817241?\n\"Answer: 16*g - 9817289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + b = -12, -4*b + 4 = 3*q + 2*q. Calculate the common denominator of -26\/11 and (26\/(-6))\/(q\/(-20)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.2. Let n = -2.9354 - 0.0646. Which is the nearest to 5? (a) 3 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-1576)\/(-12))\/(3\/(-9)). Let o = u + -380. What is the greatest common divisor of 572 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**4 - 49*b**3 - 647*b**2 - 5. Let q(r) = -r**4 - r**2 - 1. Let k(f) = -j(f) + 5*q(f). What is the third derivative of k(d) wrt d?\nAnswer: -24*d + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.14 - -21315.\nAnswer: 21313.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 64.97503.\nAnswer: 324.87515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*f - 2, 5*i - 23*f + 22*f + 5 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (69\/12 + -2)\/(618\/824). Solve 0 = -s - w + 3, -j*s - 5*w - 20 = -7*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -478 - -496. Solve 0 = 29*d - 38*d + w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 20, 212, -2\/5, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -619 * -49271.\nAnswer: 30498749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6195340 divided by -3097670.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4245.08 litres to millilitres.\nAnswer: 4245080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 0)\/3 + 9. Does 4 divide (-7)\/(y\/(-12)) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 363, 239, -85, -609?\n\"Answer: -100*o**2 + 176*o + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -913 divided by 2?\nAnswer: -913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 6 (b) -2 (c) -1.5 (d) -17 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 20*f = 109818. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01784*-2091.86\nAnswer: 37.3187824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 z, and 1 x when four letters picked without replacement from {t: 2, o: 1, g: 1, z: 1, x: 2, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 6*n + 9. Let z be h(-7). Suppose -703 = -w + z*l, 2*l + 2483 = 5*w - 1016. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*c = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1077211626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 4. Let g = 6 + j. Suppose -y = -3*r + 5, -3*y - 2*r = -2*y - 10. Calculate the lowest common multiple of g and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121 - 0?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m + 12. Suppose 2*c = -3*c + 15. What is the second derivative of 2*z**5 - c*z - z**m + 2*z wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 1400560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836164 to the power of 1\/2, to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*g + 8, 4*g = -2*z + 16 - 0. Suppose z*p = 11 - 3. Solve -p*s + 4 = -2*r, 4 - 3 = s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 7 + (-9 - -11) - -5. Solve v = -2*p + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15993 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from oeewoeowwwwowooeo?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 32814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 12*j + 17. Suppose 15 = 2*m + 49. Let b = 5 + m. Let a be p(b). Calculate the greatest common divisor of 153 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*h**3 + 3017*h**2 - 3017*h**2.\nAnswer: -247*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 380 - 18*i**2 - 6*i + 482 - 1345 + 483.\nAnswer: -18*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 72\/5 of a millennium?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 44 = 12*v. Suppose -126 = -v*h + 5*h. What is the greatest common factor of 49 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 8*a + 6. Let g be b(-7). Suppose -2*i - i = 93. Let l = i - g. What is l rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 3\/(-9))*78\/65. Suppose -4*o - 5*j = -65, -3*o + w*j - 60 = -7*o. What is the remainder when 397 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -254*m + 273. Let x be a(1). Is -55 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120421\/12 - -10026. Calculate the common denominator of l and 103\/(-4) - (2 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:38 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 10*a**2 + 10*a - 1. Let p be t(9). Let s(n) = n. Let b be s(5). Let m be ((-8)\/20)\/((-2)\/b). What is the greatest common divisor of p and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-14))\/((-1)\/721). Suppose -82 - j = -18*d. Solve -19*f = -d*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = -1, -2*n = -3*v - 57799. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -10006.\nAnswer: 1\/10006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13197 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400637 is divided by 772.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16042 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: Expand 0*w - 3*w + 4*w + (0 - 3 + 2)*(-w + 2 - 2) + 1 + w - 1 + 4*w + 2*w - 5*w + (-5 - 1 + 5)*(-2*w + w + 3*w) - 2 + 2 - w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/35)\/((2\/(-1))\/((-128030)\/(-885)))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -27. Let m = w + 94. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2 (c) -3\/70 (d) -5 (e) -3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2151 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 2*o + 2. Let a be t(-4). Suppose -3*l - a = -2. Is l != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 8*c**2 - 3*c + 17. Let x be p(4). Solve 0 = -u - 2*a, 5*u - 18 = 7*u - x*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 9. Let j(l) = 12. Let b(x) = 6*j(x) - 8*u(x). Let n(a) = -5*a. Give n(b(q)).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*u + 0*u**2 - 3\/7*u**3 + 0.\nAnswer: -3*u*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4927*a = 4924*a - 14, 14 = 3*t - 4*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00192346 to six decimal places.\nAnswer: -0.001923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = t - 7*f + 6, -3*t - 2*f = -10. Suppose -t*z + 2 + 4 = 0. Is -25*z\/((-6)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -12, 0, 42 in increasing order.\nAnswer: -12, 0, 3, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4778883 divided by -8.\nAnswer: -4778883\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from lkdef.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 15?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 3*z - 5, r - 1108*z - 9 = -1107*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -32 (b) 138 (c) -0.4 (d) 26 (e) 2\/7 (f) -1\/4 (g) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12592685 > -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 547 * 34128.1.\nAnswer: 18668070.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*p = 100*p + 498. What is the remainder when p is divided by 59?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*b + 1542. Let v(j) = j**2 - 2*j - 1. Let x be v(-2). Suppose 0 = x*t - b - 156. What are the prime factors of t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3331 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o**3 + 5*o**2 + 36*o - 105. Calculate r(3).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 4*l + 14.\nAnswer: 2*(l + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/54)*i**22 assuming i is positive.\nAnswer: i**(1189\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11063 and 192400.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 3239?\nAnswer: -3238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 10) in base 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3467943122429.97299976 + -3467943624404. Let g = u + 501974. Let z = 0.027 + g. What is z rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/15)\/((-13)\/65).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 - 215 - 199 + 88*t + 833 - 210.\nAnswer: 88*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.5 (b) -0.4 (c) 2\/9 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 558307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3148399*z + 59819584. Give t(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 9. Let i(f) = -4*f + 50. Let t be i(r). Suppose -4*k**3 + 26*k**3 + 9*k**4 - 3 + 18*k**t + 2*k**3 = 0. What is k?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/36161, 1\/6, 4, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -64 + 0?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*s - p, -5*s + 3*p + p + 9 = 0. Suppose 63 = -9*z + 18*z. Calculate the least common multiple of s and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -78*g**3 - 3566*g**2 - 40695*g + 6353. Let v(q) = -39*q**3 - 1782*q**2 - 20346*q + 3177. Let o(j) = 3*d(j) - 5*v(j). Factor o(p).\nAnswer: -3*(p + 23)**2*(13*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**7 + 10*a**3\/3 + 22. What is the third derivative of c(l) wrt l?\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206006033 (base 7) to base 5\nAnswer: -11113100303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*c - 128*c + 118 - 318 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1*-5 - (sqrt(20)\/(-2*sqrt(10) - sqrt(10)) - sqrt(352)\/sqrt(11)))**2.\nAnswer: 53138\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 719*o**3*w**2 + 1641*o**2*w**3 + 8*o*w**2 + 2*o - w**3 - 3202109 wrt o.\nAnswer: 4314*o*w**2 + 3282*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {l: 4, h: 8, n: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/(8 + -1))\/(39\/(-15) + 3). What is the highest common factor of n and 3545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 780\/50 + 1974\/(-1155)?\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -0.1077, 102, 0.1?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33223519 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(104) - (sqrt(104) - (-6*(sqrt(104)*2 - sqrt(104)) + sqrt(104) + sqrt(104))))*-2)\/((sqrt(40)*-1*1)\/sqrt(5)))**2.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*u**2 - 33*u + 33*u.\nAnswer: 138*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -af125c (base 16) to base 15.\nAnswer: -1019850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2.5 (b) 3 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 5*l**2 - l - 4. Let i be c(-5). Sort 0, -1\/4, i in decreasing order.\nAnswer: i, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 162*h**2 + 1 - 15*h - 17*h + 28*h. What is the remainder when r(1) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(883 + 853 + 209*x - 1734)*(-2*x**3 + 5*x**3 - 2*x**3).\nAnswer: 209*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Let a be 5\/25 + 1\/(5\/(-1)). Factor -k*v**4 - v**2 + v**4 + 2*v**3 + a*v**3 - 2*v + 3*v**2.\nAnswer: -2*v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243500 (base 7) in base 15?\nAnswer: d2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w**3 + 49*w**2 + 2*w + 34. Let v(h) = 7*h**3 + 18*h**2 + h + 12. Give 4*c(n) - 11*v(n).\nAnswer: 7*n**3 - 2*n**2 - 3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 257 - 177. What is the highest common factor of i and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4134 and 103\/8480.\nAnswer: 330720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1739*k - 379*k + 830*k in the form q + u*k and give u.\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1744400.49 hours?\nAnswer: 10383.33625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2000*m - 31611 = -11611 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {h: 1, y: 1, i: 7, s: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1973404?\nAnswer: 5920212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {t: 3, b: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2 - o + 3*o**2 + 0 + 3*o + 2*o. What is i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 8. Let o(n) = n - 2*n + 15 + 12*n. Let y(p) = -10*d(p) - 4*o(p). Find the first derivative of y(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8667 and 2656917.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 10:46 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(156) + (-2*sqrt(156)*3 - sqrt(156)) + sqrt(156))\/(sqrt(1728) + -2*sqrt(1728)).\nAnswer: -4 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152642483 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 41 = -19. Suppose -15*m + f*m + 2295 = 0. List the prime factors of m.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:45 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u. Let g(f) = -2428*f + 4857*f - 17 - 2426*f. Determine g(t(c)).\nAnswer: -45*c - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(80\/5)*92\/(-115)*165\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-8 - 61) - (-60 - -40)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 13*l + 12. Suppose 0 = -4*i - l*r, -2*i + 3*r + 6 = -4*i. Sort i, 1, 0 in descending order.\nAnswer: i, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1*(1\/2)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) - 21\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 86, 136, 184, 230, 274?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*i + 10 = 0, -5*i + 8 = -2. Let k = c + 10. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9}. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 8*k**2 - k + 8. Let n be d(8). Suppose n*m - 4*m = -12. Let o be (-10)\/(-2*1)*3. Solve 0 = 4*z + m*t - o, -z = -4*t + 22 - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2*c - 3. Let b be i(4). Suppose -4*s + 11 + b = 0. What is the least common multiple of 1 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743133 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2496\/780 - (-1 + 5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/10 (b) 20 (c) -5\/4 (d) -6 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:06 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/120 - 11*i**5\/60 + 13*i**4\/24 + 11*i**3\/3 + 4*i**2. Let x be a(11). Calculate the highest common factor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 8*l - 2. Let n(k) = -k**2 - 9*k + 2. Let i(p) = -4*n(p) - 5*r(p). Let s = 3 - 7. What is i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -24*q**2 + 1905*q + 9497. Give z(-5).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 3*u**2 - 2*u + 2. Suppose -4*s + 16 = 3*f, -5*s + 16 = -s + 2*f. Let p be r(s). Suppose 0 = -x + 6*x - p. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.22419 to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*j - 160. Let o = -58 - j. Suppose -o*g = -10095 - 13105. Round g to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-6))\/k*k)\/k)**(7\/2))**(2\/69) assuming k is positive.\nAnswer: k**(-14\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 20*j + 3. Let p(d) = 6*d**3 + 2*d**2 + 3. Let v(a) = a**3 + a**2. Calculate j*p(y) + 4*v(y).\nAnswer: -2*y**3 + 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -54. What is the derivative of -1 - 4*a - s*a**3 - 1 + 4*a wrt a?\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 7*x**2 + 3*x - 9. Suppose -3*p - 28 = 2*r, 2*r = -r + 2*p - 16. What is the remainder when 92 is divided by s(r)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 7*a**2 + 4*a + 1. Let g be v(7). Let r = 24 - g. Let f(y) = -y**2 - 5*y + 3. Give f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 s, and 1 m when three letters picked without replacement from {m: 4, r: 1, u: 1, j: 1, s: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410267600 rounded to the nearest one million?\nAnswer: 410000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(480)*-1 - sqrt(480)) + sqrt(480)))\/(-2*sqrt(8)*6))\/(6*(2*(sqrt(972) + sqrt(972)*-1 - sqrt(972)) + sqrt(972) - sqrt(972))).\nAnswer: -sqrt(5)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 18 = 25*t. What is the third derivative of -83*f**2 - f + f + 3*f**3 + 72*f**t wrt f?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 76 - 6756117?\nAnswer: -6756021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3848100*f - 1824 = 3848076*f for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2 (b) -0.4 (c) -5 (d) 0.03 (e) -4 (f) 5 (g) -370\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.761 + 1.239. Suppose -7*w + 12*w - 10 = 0. What is the third smallest value in w, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 123.122?\nAnswer: -12.3122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677269179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - sqrt(187)*1)*2)\/((sqrt(11) - sqrt(704))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/6 + 2\/(-1). Suppose 31*x - 36*x + 88 = -3*p, -p - 2*x - 11 = 0. What is the tens digit of (-398)\/(-14) + t\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*k + 3*k**2 - 379*k + 766*k - 4*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8928*l**2 + 4499*l - 50. Let i(z) = -z**2 + z + 25. Let x(r) = f(r) + 2*i(r). What is the second derivative of x(p) wrt p?\nAnswer: -17860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 461805 - 461805.3. Let t = 263\/3 + -86. Let i = 7 - 3. Which is the fourth biggest value? (a) -1\/10 (b) x (c) t (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/159840 and -26\/925.\nAnswer: 799200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6374 * -1\nAnswer: -6374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79812 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/875 - -867\/3500. Let x be (-6)\/2*-1 + -3. What is the nearest to x in -2, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*4\/(-24))\/(4\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2995.9 - -2996. Let s = -2.4 + 2. Which is the nearest to v? (a) 3\/2 (b) s (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -360440*l**2 + 520285*l wrt l?\nAnswer: -720880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 67551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -11. Let q(t) = -8*t**2 - 9*t - t**3 + 0*t**2 - 9 + t**2. Let p be q(z). Solve -3*f = 7*j - 2*j - 15, p = 3*j - 5*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16484 is divided by 147.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*u**2 - 38*u**2 - u**2 - 115*u**2.\nAnswer: -229*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/2 (b) -3 (c) 2\/5 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**3\/6 - 11*x**2\/2 - 2*x. Let r be s(-10). What are the prime factors of (-2 + r)\/(12\/(-64))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 - -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -37. Suppose k*c = c. Solve -o - 4*o + 25 = c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8 and -59\/6141?\nAnswer: 49128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + (3 - 0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7542593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -5, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -50*z + 133. Let i(v) = 6*v - 127. Let j be i(19). What are the prime factors of t(j)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s - 10. Let z be q(-8). Suppose 0 = -z*o + 35*o + 12. Let a(b) = 0 - 1 - 3 + 5*b. What is a(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/36 and -65\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 14*j**5 - 1508*j**4\/3 - 62*j**3 + 1508*j**2\/3 + 48*j = 0.\nAnswer: -1, -2\/21, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 859233906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575503 is divided by 2648.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 94*o - 850. Give i(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92187*s + 2052 = 92358*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -39*d**3 - d**2. Let u(i) = 19*i**3. Determine 5*u(y) + 2*x(y).\nAnswer: 17*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**3*(o**0*o)\/o*((o**1*o)\/o*o)**(-18\/13))**(-1\/4) assuming o is positive.\nAnswer: o**(-29\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)*(-199 - (-16)\/8). Let k = j - -199. Let z(i) = 4*i**2 - 7*i + 5. Calculate z(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + u**3 + 3*u**2 - 39*u**4 + 2*u + 20*u**4 - 3*u**3 + 7*u**4 as d*u + z + b*u**4 + w*u**3 + g*u**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-106056)\/81*75\/2. Round k to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 2. Let y be u(3). Suppose -4*g + 25 = -3*h, 5*g = 2*h + 29 + 4. What is the remainder when 19 is divided by 5*g\/5*y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*w - 2 = -79*w. Let h = 0.58 + 0.02. What is the second biggest value in w, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 494 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227104 is divided by 905.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19\/5 - -71\/20. Let o = -53 - -61. Is o >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3 + 38034*f**2 + 206104176*f + 231276933288 = 0?\nAnswer: -8754, -1509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.731 take away 5.39501?\nAnswer: -11.12601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 14*s**2 + 11*s - 20. What is r(13)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4972 * -0.3\nAnswer: 0.14916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = -2*c + 5*g + 31, 4*g = -5*c + 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -22068362 and -22068364 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by (-66)\/(-10) + (1 - 6\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -12*v + 13 + 3, 5*y + 4*v + 285 - 269 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 6*v**2 + 2*v - 9. Suppose 2*b = 3*b - 6. Let k be q(b). Suppose -k*n = -2*n. Which is bigger: n or -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-849)\/(-11) + (-4)\/22. Let p(o) = 2*o**2 - 2*o - 1. Let j be p(2). Suppose -4*i + 7 = -j*i. What is the greatest common divisor of g and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - -88. Suppose g + 100 = y. What is the greatest common divisor of 28 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.72205 centuries to years.\nAnswer: 4372.205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11373 divided by 13927\nAnswer: 11373\/13927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -842 and -0.4?\nAnswer: 336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -188\/125 + -12\/125. Sort 1\/5, 1\/3, n in decreasing order.\nAnswer: 1\/3, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26400 to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 561877.9 and 11570.\nAnswer: 573447.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3446359.\nAnswer: 7, 17, 28961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644670 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q = 0. Suppose q*c = -2*c + 40. Solve 5*o - 3*u = u - 25, -u = -4*o - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, -0.26, 465, -2?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = -37*i + 60 + 66 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140340 is divided by 1777?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/3 + 862*p**2\/3 + 3376*p + 10056 = 0.\nAnswer: -419, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from yccpqcr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(17\/85*-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -6*j + 29 - 2*j**2 + 2\/3*j**3. Factor g(f).\nAnswer: 2*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -260707, -521415, -782123, -1042831?\n\"Answer: -260708*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 52 + 52 = 0. Solve 17*v - 22*v = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*o + 56283 = 154505, 0 = 3*i - o - 98252. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -1. Let t = -290 - -290.2. What is the closest to 2 in t, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.67131 + 2.67274783. Round n to 5 decimal places.\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from ooboooobhdohwhobob.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inr when three letters picked without replacement from izrzizzzrrnzrzzrzizz?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12474314\/10 + 5)*5. Let l(q) = 3069*q**3 + q**2 - 23*q + 7. Let x be l(9). Let t = x - i. Round t to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-56)*7)\/(5\/(-1))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let n = -2.13 + 2. Let x = -0.43 - n. Sort s, -3\/8, x.\nAnswer: -3\/8, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.068 + 0.132. Let n be (0 - 3) + (-13)\/(-3) + 380\/(-330). Which is the nearest to d? (a) n (b) 1 (c) -1\/85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2929*h + 5030*h + 155*h = -194736 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*-1*sqrt(539) + sqrt(539))**2 + ((sqrt(44)*6)**2 - (sqrt(132)\/(sqrt(12)*1) + sqrt(11))**2).\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -1\/2*b**2 - 14*b + 19\/3*b**3 + 1\/4*b**4 + 6. Let s be k(-19). Let c(j) = j**2 - 7*j - 1. Give c(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102878.\nAnswer: 2, 51439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0, 5\/6, 10, 4\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -2)*1 + 4)*3.\nAnswer: 6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 - 4*v**2 - 2*v + 8 - 7*v + 0*v. Let b(o) = o**3 + 5*o**2 - 15*o + 3. Let k be b(-7). What is the smallest common multiple of 26 and n(k)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -485*s**3 + 977*s**3 - 491*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, b: 3}. What is prob of picking 1 b and 1 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-363)\/(-5))\/11 + (-8)\/(-20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5)*x**1)\/(x\/(x\/x**(-3)))**4)**(4\/5) assuming x is positive.\nAnswer: x**(264\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -122a9 + -5?\nAnswer: -122b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 43 = 3*o. Let l = 916.5 - 916. Which is the nearest to 2? (a) -4\/9 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**3\/3 + 9. Let c(i) = 7*i**2. Determine c(g(t)).\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -553345 (base 6) in base 15?\nAnswer: -da15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -73 + 1 + (-5 - -13 - 9) + 7.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 4*h**2 + 2*h + 9. Let r be o(-4). What is the third biggest value in 2, r, -5\/4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/((-31)\/((-713)\/2)). Which is the nearest to -6? (a) u (b) -3\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + 146 + 5*r**3 + 5*r**3 - 29*r**3 + 4*r**3 + 12*r**3.\nAnswer: -3*r**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 148*y - 21*y + 151*y - 3.\nAnswer: -18*y + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k. Suppose -3*d + 0 - 3 = k. Let s be d - (54\/(-21) + 1). Sort -0.3, s, -1 in descending order.\nAnswer: s, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 650. Let v = 611 + k. Suppose 1 = n + 3. Which is the nearest to n? (a) -4\/3 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -315\/8?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5\/3 - 137*q**4\/3 + 541*q**3\/3 - 527*q**2\/3 + 4*q\/3 + 124\/3 = 0. Calculate q.\nAnswer: -31, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2)**(3\/28))**(-11\/6)\/((u**2\/u)**(1\/14))**36 assuming u is positive.\nAnswer: u**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -6*c**2 + 13*c - 9. Differentiate f(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200677837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/13)\/c*c)**(-2\/3)\/(c**(1\/2)\/(c*c*c\/(c\/c**(1\/6)))) assuming c is positive.\nAnswer: c**(67\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (-3 - ((-72)\/9 - 4)). Sort 238, d, 5, 1 in ascending order.\nAnswer: d, 1, 5, 238","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**4\/6 - v**3\/6 - 1014*v**2. Let n(u) = 17*u - 4. Determine 6*n(o) - 22*x(o).\nAnswer: 14*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21018*c - 125 = -21013*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5603724 and 111.\nAnswer: 5603724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 1. Let w(z) = -20*z - 14. Let h(c) = 3*k(c) + w(c). Let g be h(-4). Let v = g - -27. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 5*g + 19. Let v = 30 - 15. Let h = g - v. Solve -o = 2*k - h, -5*o = -3*k + 11 - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201111 + -11333?\nAnswer: -213110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/(-3 - 58\/(-18)). Let s(r) = r**2 - 2. Determine s(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 86 - 10. Let c = r - 7. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -622, -1, 5, -2 in descending order.\nAnswer: 5, -1, -2, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286068449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 2*c**2 + 3*c - 5. Let l be z(-4). Let k = 41 - l. What is the highest common factor of k and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 2*w + 4*w)*(1 + 3 - 5) - 2*w + 0*w + 0*w - 4*w + 2 - 2.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*o - 1)*(-2 - 2*o + 2)*(6 - 1 - 1).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*l + 2*l**3 + 39*l - 5*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeewxwwxewwxwxw. What is prob of sequence wwew?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y - 405 = 5*k, -5*k = 4*y - 435. Does 31 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 7*p. Let w be d(5). Let i = w + -11. Suppose k = -2*s + 77, i*s - 187 + 30 = -5*k. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 318\/18 + 6\/(-9). Calculate the highest common factor of 221 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 14*s - 34*s + 20*s.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + -3)*-3 - (3*(1*sqrt(112))**2 - sqrt(112))) + 5)*2 + 4.\nAnswer: -640 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3280.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22*1 + -10 + 7. Let q = -36 + o. Let t = q + 28. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 + 3*a**4 - 3*a**4 + (-3*a**3 + 5*a**3 - a**3)*(-a**2 + 0*a**2 + 0*a**2) - a**5 + 3*a**5 - 3*a**5 + 0 + a**5 + 0.\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 7*h. Give c(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 7*v**3\/3 - 41*v**2\/2 + 6*v + 36. Let s be l(6). Solve -5*a = 2*p + p - 24, -p + s = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-28))\/(6*(-2)\/(-28))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73505357201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 874780\/309 - 2831. Let s = 253232279471\/3399 - 74501994. Let i = a - s. What is the common denominator of 3\/8 and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - ((-7)\/2)\/7*26. Suppose 5*q - 11 + 1 = 0. Suppose -4*m = -l, 2*g - 5*m - q = 5. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-92) + (-1818)\/552 + 1)*(-16)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 517?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) 4 (c) 0.01251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f - 4*f + 8333. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*s = -174*s - 466*s. Let f = 563\/6 + -266\/3. Let t = -391\/78 + f. What is the nearest to t in s, -0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 2 (c) 23.75 (d) 1.3 (e) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.37 - -11.97. Let g = -0.1 + 0. Let c = -0.19 - -0.2. What is the second biggest value in g, c, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = -0*t. List the prime factors of -3*(t + (-186)\/9).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 9288129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ellt when four letters picked without replacement from {l: 2, r: 1, t: 3, s: 1, z: 1, e: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c**(-1\/11)\/c)\/c*c)*c)**(-17\/2) assuming c is positive.\nAnswer: c**(-765\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1451, 2341, 3229, 4115, 4999, 5881, 6761?\nAnswer: 7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -216 + 215 - 6*o + 9*o. Give z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5521021411 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q - 36. Suppose 26 = 35*a - 33*a. Let f be k(a). Solve 0 = -5*l - 2*u + 20, -f*l + 26 = 4*u - 0*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19080702*f**3 + 103065320*f**2 wrt f.\nAnswer: -114484212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2605*f**2 - 1438*f**2 + 473*f**2 + 6847*f**2.\nAnswer: 8487*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172\/105 - 3623\/630. What is the common denominator of ((-14)\/63)\/((-810)\/(-115) + -7) and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1691 and 16393978?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s. Let z(w) = 53*w - 11. What is o(z(r))?\nAnswer: -212*r + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -0. Solve 3*h**2 - 2*h + 15*h**3 - 4*h**4 - 6*h**3 - 12*h**3 + w*h**2 = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**5 - 6*m**3 - 74*m**2. Let z(d) = -6*d**5 - 5*d**3 - 74*d**2. Let c(q) = 5*r(q) - 6*z(q). What is the third derivative of c(u) wrt u?\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 2*d. Let o be (-17)\/(-5) - (-2)\/(-5). Let j be u(o). Solve -j*f - 2*m + 15 = -0, 2*f = 2*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -20, -30, -42, -56, -72, -90?\n\"Answer: -g**2 - 5*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 194\/123, 3, -4.23, 2\/5 in ascending order.\nAnswer: -4.23, 2\/5, 194\/123, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n - 10, u + 2*n = -2. Suppose -u*p - 5 - 15 = -v, -4*v + 60 = 2*p. Differentiate -x**2 - v - 3*x**2 - 2*x**2 + 4*x**2 wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n - 25 = 0. Let f be (536\/2)\/(7 + n). Round f to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91*14978.5\nAnswer: 1363043.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 10*c**2 - c - 7. Let q be z(-10). Find l, given that 20*l - 56*l**2 - q - 2 + 60*l**2 + 21 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*1)\/(11\/(55\/(-5))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -1 - (-1 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 217 + 28361?\nAnswer: 28578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1654 (base 10) to base 14.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.8 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(133) - sqrt(133)*1))\/((-3*sqrt(77))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506 and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8131 or 8132?\nAnswer: 8132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453665157 divided by -3.\nAnswer: -151221719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13\/2, -6\/29.\nAnswer: -6\/29, 5, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -80 (c) -2\/7 (d) -4 (e) -0.5 (f) 5 (g) -0.003\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 869, 1897, 3331, 5171?\nAnswer: 7417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30134\/(-2964)*(-114)\/19.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 11*h = -6*h, -2*h + h = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -839.51 - -839.400014. Let h = 0.11 + k. Round h to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -552.9225592 to one decimal place.\nAnswer: -552.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -2937.\nAnswer: 1174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 1, l: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.02 (c) 2\/1776281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 8*w + 10. Let v be u(7). Find the second derivative of -7*o + 0*o**3 + 0*o**v + 2*o**3 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-119 - -2) + -3771 + 3956\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-six fifths of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4 (c) -6 (d) 24\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3351 - 3?\nAnswer: -3354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**19*n*n))\/n**14)\/(n\/(n**(-1\/7)*n)*n**(-9)) assuming n is positive.\nAnswer: n**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 4662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -37. Let p be 1040\/(-5)*1\/((-8)\/h). Let r = p + 307. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxxtxijxxff. Give prob of sequence xx.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 22. Let q be m(20). Suppose -4*i = -i - q*w - 804, 4*i - 1083 = -w. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {x: 2, s: 11}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 6*g**2)*(-2*g + 4*g - 3*g)*(0 + 4 - 3).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**3 + 3*d**2 + 6*d + 11. Is m(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11738*q + 775211 = 31348*q - 440609 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2689732 and 19108.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8742*t**3 - 58*t + 27*t + 31*t.\nAnswer: -8742*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1720*f**3 - 22*f**2 + 852. Let z(g) = 859*g**3 + 12*g**2 - 425. Let b(r) = 6*l(r) + 11*z(r). What is the first derivative of b(d) wrt d?\nAnswer: -2613*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5260530*i**4*y**3 + 2*i**4 - 906325*i**2 + 2*i*y**3 wrt i.\nAnswer: -126252720*i*y**3 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -42. Let l(z) be the third derivative of 0*z**4 - z**2 + 0*z**3 + 0 - 1\/336*z**8 - 1\/300*z**6 + 1\/150*z**7 + 0*z + u*z**5. Solve l(t) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(0\/(-1) - 0). Suppose 0 = -3*u - 45*u - 0*u + 1824. Calculate the remainder when u is divided by 42\/2 - (1 - r).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48600 less than -581915?\nAnswer: -533315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**3 - 7*l**3 + 2*l**3)*(-6 + 7 - 12) as b*l**2 + m + g*l**3 + i*l and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Suppose 0 = -4*f - 5*k, -3*f - 2*k + 5 = -z. What is the first derivative of -i + i - 4 + f - 2*i**3 wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0158, 659, 8?\nAnswer: 659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 2:16 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:11 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29\/5*m**3 - 6\/5*m + 31\/5*m**2 + 4\/5*m**4 + 0 = 0.\nAnswer: 0, 1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**2 + 26627314*r + 296998110 wrt r.\nAnswer: 6*r + 26627314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/120 and -29\/465.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*23.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 4. Suppose -7*f + 4*f = 0. Suppose -3*d + 2*t = -0*d - 8, d - 5*t + 6 = f. Calculate the remainder when h(d) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22785 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 14*x - 10. What is the smallest common multiple of x and 1\/3 + (-5)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/4 + -3 + 10. Suppose 23 = -c + t*x, 6*x - 4*x - 10 = 0. Let n(d) be the first derivative of 3*d**2\/2 - 2*d + 1. Determine n(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1904 - -808. Let o = g + 1096.01137. Round o to 4 dps.\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 102*v - 5. Is b(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**7\/105 - j**6\/48 - 2*j**4\/3 + 8*j. Let r(u) be the third derivative of v(u). Find the second derivative of r(d) wrt d.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 745 and 194339\/261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 262188 and 5.8.\nAnswer: 262193.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + -34)*13\/(-39)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**4 - 59885*j**3 + 2401965*j**2 - 17243155*j + 14901080 = 0.\nAnswer: -12017, 1, 8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -383019950115 take away -4.9?\nAnswer: -383019950110.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102396337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36704 (base 10) in base 6?\nAnswer: 441532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q + 5436 = -268*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1449 - 1424. What is the smallest common multiple of (-166)\/(-4) + 9\/(-6) and m?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1464 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9135*-2\nAnswer: 18270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-28)*(-2)\/16*4. Which is the fifth smallest value? (a) -2 (b) 3 (c) -9 (d) 8.6 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 663 and 7125737.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 539 = -229. Does 52 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a284 (base 13) to base 3\nAnswer: -11001002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2197762 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 151 = 5*z. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -560423 + -1.2.\nAnswer: -560424.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1971, 1970, 1969, 1968, 1967, 1966?\n\"Answer: -a + 1972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/534 and -13\/712.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -242601213 less than 5454?\nAnswer: 242606667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*i**4 + 29376*i**3 - 2388034?\nAnswer: 148*i**3 + 88128*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3 - 72590*l**2 + 4661120*l - 74659840 = 0. What is l?\nAnswer: -14582, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) -0.4 (c) -2 (d) -2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -74. Let k(t) = t**3 - t + 2. Let c be k(b). Let r be (18 - (-2)\/(-2)) + 1. Calculate the highest common factor of c and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -38. Let c(d) = -d**3 + 6*d**2 - 7*d + 6. What is c(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*a = 4, -16*g - 3*a = -11*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3680029 rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081103 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 - -8. Let o = i + -3. Let z = 0.3 - -0.1. Sort z, -2, o.\nAnswer: -2, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*v - 15, v = 3*u - 0*v + 23. Let h be (-76)\/(-12) - (-2)\/u. Calculate the highest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 + 31808*z**4 + 254660*z**3 + 477632*z**2 - 254656*z - 509440 = 0.\nAnswer: -4, -1, 1, 7960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 116976856055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + 1 + (402 - 6)?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185407410.\nAnswer: 2, 3, 5, 577, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 303.9 + -274. What is z rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -241*i + 249*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -464. Suppose -h = -3*s + 145. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 603*f**4 - 2 + 2 - 1741*f**4 + (8 + 3*f**2 - 8)*(-3*f**2 + 2*f**2 + 3*f**2).\nAnswer: -1132*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -0.24217\nAnswer: -0.75783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102\/787 or 0?\nAnswer: -102\/787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 3*j - 48. Let f be (-14)\/(-4)*j\/6. Let x(v) = -v**3 - 8*v**2 - 10*v - 8. Is 7 a factor of x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgwoywc. Give prob of sequence gby.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 379136*z**3 + 104*z + 1593 wrt z.\nAnswer: 2274816*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 81\/80 (b) 0 (c) -5\/3 (d) 2\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (375\/(-777))\/(-1) + 3. Let b = t - 24\/7. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 7, 0.3, 1324?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4\/15 (b) 0.3 (c) 0.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*u - 452057 - 302634 = -6*u. What are the prime factors of u?\nAnswer: 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 4*x + 20, -2*x = 2*x + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + 21 - 9 - 7 - 5.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 + 0.28. What is the closest to 1 in -0.06, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 57257, -0.1, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 3, w: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523611\/(-205)*1*-5 - (2 - -4)?\nAnswer: 3, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w**3 - 34*w**2 + 1 - 10*w**3 - 2*w + 38*w**2 to g*w + h*w**3 + n + k*w**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -375022 and 83.\nAnswer: -31126826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 - 14*m**2 + 28*m**2 + 37*m**2 + 34.\nAnswer: 43*m**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**7\/2520 - 11*u**6\/1080 + u**5\/15 + u**4\/2 - u**3 + 46*u**2. Let o(f) be the first derivative of s(f). Factor o(q).\nAnswer: (q - 6)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 786.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 486924673 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 8. Let l(d) = d**p + d + 0*d**2 - 2 + 3. Is l(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 100.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 54. Let y be i(-6). Calculate the remainder when (-5 + 279\/y)*-2 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose 3*j - 5*q + 10 = 0, r*j = -3*j - q + 20. Solve -1 = s - 0, -j*c - s - 21 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6551, 5364, 4177, 2990, 1803, 616?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c - 3*n + 6, c + n - 2 = 0. Suppose -4*j + 24 = 4*p, 0*j = 4*j - 16. Solve 10 = p*b - c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -2276a?\nAnswer: -22755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1688736 or 1688737?\nAnswer: 1688737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27 and 321.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from ypyeppt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 10 - (-4 - 9 - -8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29434 is divided by 6538.\nAnswer: 3282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 1. Let b be i(-2). Let c = 10 + b. Suppose 0 = -2*z + 8, -j - 6 + 1 = -5*z. What is the greatest common divisor of j and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + -0.1. Let n = -1535378\/9 + 170598. Put n, o, 5 in decreasing order.\nAnswer: 5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1107*t**2 + 34*t**3 + t - 2 + 1105*t**2 - 3*t**3 in the form v + p*t**2 + h*t**3 + k*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2. Let q(o) = -10*o - 8. Calculate z(q(f)).\nAnswer: -100*f**2 - 160*f - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87553 - 52623. What is the greatest common factor of b and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**2 - 64*l**2 - 39*l**2.\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 661347124 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = 0, -7 = -p - 3*a + 4. What is the lowest common multiple of 12 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*l + 936, -2*c - 19*l + 484 = -14*l. Calculate the greatest common divisor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -6. Let h be n\/1 - (2 + -5). Let l be 3\/9*h*-9. Solve 2*u = d - l*u + 5, 6 = 3*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0013 (b) -14\/191 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -107*p**7\/42 - 4699*p**4\/24 + 2259*p**2. What is the second derivative of q(r) wrt r?\nAnswer: -6420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68385? (a) 0.5 (b) 4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2249597 or 0?\nAnswer: 3\/2249597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1. Let s(p) = -p**3 + 6*p**2 - 5*p. Let l(v) = 6*k(v) - s(v). Calculate the remainder when l(5) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (-5104)\/504)*(9 + (-300)\/24).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + 3 - -6) - -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 87, 143, 179, 171, 95?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858 is divided by 98?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -48*j**2 - j - 3. Let a be y(-4). Let g = a + -7678. Let m = 48445 + g. What is m rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**2 - 487*j - 1786. What is q(80)?\nAnswer: -2346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -20*f**3 - 4*f**2 + 4. Suppose 4*z + 3 = -3*i, -z + 2*i - 3 = -2*z. Let s be c(z). Suppose 0 = 5*p - p - 4*v - s, 5*p + v = 635. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215025*-0.1.\nAnswer: -21502.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 352586 to the power of 1\/2, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35754 is divided by 322?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15858, 31715, 47572?\nAnswer: 63429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 + 3396*g**3 - 65948*g**2 - 308100*g - 238752 = 0. What is g?\nAnswer: -3, -1, 24, 829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**2 + m - 1. Let v be u(1). Suppose v - 17 = -3*z. Suppose 2*w = -t + 50, z*w + 0*t - 68 = 2*t. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 - ((6 - 6) + -1 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100001 (base 2) in base 14?\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40b (base 14) in base 8?\nAnswer: -1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000069 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*l + 27. Let x be l\/36*(-8)\/(-2). Is -2*x*-8 - -3 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178 + 181. Suppose 0 = -3*w + 5*s + 34, 7 = -4*w - i*s + 4. Solve 2*j - j + w = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2138 and 2?\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 721 - 593 = 8*n. Suppose c - 3*w = 57, 4*c - 2*w = 2*w + 244. What is the remainder when c is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -3. Which is the closest to 1? (a) s (b) 4 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24544, -98154, -220866, -392704, -613692, -883854, -1203214, -1571796?\nAnswer: -1989624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - c**2 - 4 + c**2 - c**3 + 2*c - 5*c**2. Let w be p(-4). Which is smaller: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -151 + -4191?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1461465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -d - 5, 5*d + 15 = -4*k + 2*d. What are the prime factors of (k - -5)*(5 + 18)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by 9343.\nAnswer: -113\/9343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-52)\/16)\/13 - 1281\/(-4). Let n be (-48)\/9*(-4 + (-82)\/2). Calculate the highest common divisor of n and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-14)\/140*3\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 0.1 (b) -4 (c) 0.3 (d) 7 (e) -1\/18 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Let l(u) be the first derivative of 2 + 0*u + 5\/2*u**2. What is s(l(y))?\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/30)\/((-4)\/(-10)). Let z be (-496)\/(-744) - ((-26)\/q - -1). Solve z*o - 3*o - 8 = 4*i, -2*i = -4*o + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (-5*sqrt(112) - (-4*sqrt(77)*-2 - sqrt(77))\/sqrt(11))).\nAnswer: -4 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joj. Give prob of sequence oj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 206243563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 + 3 - -1. Suppose 4*b + 1 = 3*w + 3, -3*w = -2*b - 2. Find the third derivative of -a*j**4 + 3*j**b + 5*j**4 - j**2 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-7) + (-9 - 792\/(-84))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41344 (base 16) in base 5?\nAnswer: 32021301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 - 118*t - 36. Let u be i(-39). Let a(q) be the second derivative of -1\/30*q**4 - 10*q + 4\/15*q**u + q**2 + 0. Factor a(l).\nAnswer: -2*(l - 5)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -540 and 19519855?\nAnswer: 19520395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*c + 42*c + 32*c - 122*c - 162 to g*c + a and give a.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((3\/(-1))\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7641*n - 7656*n - 52 = -2*s, -5*s = -130 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -0.44 (c) -4 (d) 351 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 1, 1\/14, 0.3, -2\/31 in ascending order.\nAnswer: -2\/31, 1\/14, 0.2, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccccccccccfcffffccc.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(54)\/sqrt(9) + sqrt(6))\/sqrt(3) + sqrt(2)) + (sqrt(126)\/sqrt(7) - -1*sqrt(162)).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3398 - 679559\/200. What is the common denominator of v and -109\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27)\/(-144) + (-18785439)\/(-432).\nAnswer: 3, 5, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22190*r**2 - 4591*r**2 - 26380*r**2.\nAnswer: -53161*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2214532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 7\/3*n**3 + 0 - 3*n**2 - 1\/24*n**4 + 0*n. Let q be z(10). Are q and 4 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 9\/(432\/328).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 29 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*r**5 + 24065*r**4 - 45812*r**3 - 216333*r**2 + 427536*r - 2268 = 0. What is r?\nAnswer: -3, 1\/188, 2, 3, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (26 + (-5 - 11) + (-1 - 12)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-884)*-2*1*(-16)\/(-4).\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6830cc - 3?\nAnswer: 6830c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*b**2\/8 + 40269*b\/8 + 537\/4 = 0.\nAnswer: -2\/75, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -67. Suppose x - 7*t + 2*t = 256, -b*x = -2*t - 536. What are the prime factors of x?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 - 3*i - 4. Let a(v) = -11*v**2 + 5*v + 7. Let q(p) = -3*a(p) - 5*m(p). Give q(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4\/3, -2, 4, 628, -3?\nAnswer: 628","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3029 and -174.2.\nAnswer: -527651.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/108*9\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2. Let p(l) = -1218933668*l. Calculate a(p(q)).\nAnswer: -1485799286983934224*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519, 593, 669, 747, 827, 909?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -811*p**4\/4 + 455*p - 839. Differentiate k(u) with respect to u.\nAnswer: -2433*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-36) - -4 - (-4)\/(-18). Suppose -3*v = 4*p - 4067, -v - f*p = v - 2706. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, -1595, -7.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8 = l, -4*l - 4*y + 3 = -13. Suppose -520 + 144 = -4*v. Suppose -34 = l*n - v. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -20*x. Let s(r) = -4*r. Let o(i) = -6*l(i) + 28*s(i). Let g(a) = -a**2. Determine o(g(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*w - 45*w + 25*w)*(-2 + 2 + 1)*(2*w + 2*w - 3*w) in the form p*w + i*w**2 + r and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 19. Let p = 17 + m. Suppose 2*v - 472 + 194 = p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 732844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {y: 2, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksssssssskssssks. What is prob of picking 3 s?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + 21\/(-6). Let s(q) = -q**3 - 3*q**2 - q - 5. Let c be s(u). Suppose 4*l + l - c = 0. Solve l*g - 23 = -4*j, 0*j - 4*j = 4*g - 28 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134.4 + 112. Let a = g - 3.6. Let f = -27 - a. What is the biggest value in -0.3, f, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-8 + (6 - (2 + 1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 69 - -5 - (-3 + 0) - (-105 + 46 + 68)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (778 + 297 - 67 + 39)*(-4*k**4 - 2*k**5 + 4*k**4).\nAnswer: -2094*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -427 - -376. Is -2\/5 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1838 and 2.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51453250.\nAnswer: 2, 5, 29, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267794894?\nAnswer: 2, 133897447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 14. Give t(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 0.4\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3573764239 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -16 (b) 10 (c) -6677 (d) -1 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55998 divided by 6?\nAnswer: 9333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*y = 14, -3*k + 3 + 8 = y. Let v = -0.036 + 0.536. Sort k, -0.4, v in ascending order.\nAnswer: -0.4, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91565918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 1\/6 (c) 3 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z = 168. Find the first derivative of z - 10 - 2*g**4 - 18*g**4 wrt g.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 92*w + 1093. Calculate v(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26a141 (base 14) in base 5?\nAnswer: 320140322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -3, -2, 4, 1610\/19, 8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*p - 1. Let s be 1 - p - (4 - 11). Suppose 14 = o - 0*o + 4*t, -t = 2*o - s. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -329.95 to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 2:57 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.6016 kilometers to centimeters.\nAnswer: 78360160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y. Let z = 2\/17 + 47\/34. Let q(o) be the first derivative of 1 + z*o**2 + 0*o. What is n(q(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 91. Let i be (6\/9)\/(w\/30) - -107. Suppose 0 = -3*l - 2*d + 48, -5*l = 4*d + 29 - i. Solve -4*r + 10 = -3*y, -3*y + 8*y = 4*r - l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -40*s**2 + 349*s - 227. What is y(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1318094 - 658862 + 2*q - 659232.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 16. Let v = -81 - -74. Calculate the least common multiple of 9 and f(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.39?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 + 13*t**2 + 13*t**2 + 2*t**4 + 5*t**3 - 37*t**2 - 2*t**3 + 12*t + 1 to s*t**3 + r*t**4 + g*t**2 + i + z*t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13363.29ng to kilograms.\nAnswer: 0.00000001336329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pukmuppkpujjpp. What is prob of sequence pkm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 113. Suppose 7*l + z = 10*l. Let p(y) = -2*y**2 - 7*y + 36. Calculate the lowest common multiple of p(0) and l.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b**3 + 14*b**2 + 14*b - 12. Let q(a) = -14*a**3 - 21*a**2 - 22*a + 19. Let k(y) = -5*q(y) - 8*v(y). What is k(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913200?\nAnswer: 2, 3, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyvvcvcykyvkokoo. Give prob of picking 2 v, 1 y, and 1 o.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-12))*7\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryyyrysss. Give prob of picking 2 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 29 = -37. Let b(x) = 22*x**3 - x**2 - 2*x - 2. What is b(d)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261399743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -31108*n + 24. Let j be o(-2). What is j rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 16 = 31 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**5 + w**5 + 0*w**5)*(28 + 0 + 2).\nAnswer: -60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 11. Let v = d - -8. Which is smaller: 0.3 or v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + -1 - (3 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**2 + 25*u. Let a(r) = -3*r**2 + 12*r. Let p(i) = 10*a(i) - 4*s(i). Suppose p(c) = 0. What is c?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 29*h + 32*h - h + 244*h**2 in the form q*h + y + p*h**2 and give p.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 190 and 2273.\nAnswer: 431870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -223 divided by -8\nAnswer: 223\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -17, -73, -173, -329?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 smaller than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 594 + -407. Suppose w + w - c = o, o + 283 = 3*w. What is the highest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 6. Let r be ((-3)\/((-18)\/28))\/((-18)\/81). Let o be w(r). What is the highest common factor of 65 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1155 and -97\/1617.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (-992)\/96)\/(606\/(-156) - -4).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 - 279*r**3\/4 + 4968*r**2 - 14283*r.\nAnswer: r*(r - 138)**2*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 9*m + 4. Let t be g(-6). Suppose -5*j - 370 = 51*j - 8*j + 26*j. Calculate the common denominator of (t\/(-44))\/((-3)\/6) and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1648575466 = 71*o + 5067466. What is o rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/323)\/((-1)\/17)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3)\/(-6))*13*12\/(-24)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1388*h + 343*h + 3197 = -416*h + 11374 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s - 606. Let l be u(-69). Solve l*y + 21 = -24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1477*k - 2*k**3 + 748*k + 729*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgv when three letters picked without replacement from ugvuxsgjv?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o**2 - o**2)*(-126*o - 117*o - 57*o**2 + 59*o**2).\nAnswer: -4*o**4 + 486*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1875 and 0.75.\nAnswer: -1406.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(847)*-1)**2*-2 + ((-3*sqrt(14))\/sqrt(2))**2 + -5 + sqrt(112).\nAnswer: 4*sqrt(7) + 5140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -23\/14, -6, 88, 1.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 79?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 1325686.\nAnswer: 10605488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 2*o - 24. Let k be t(0). Put -2, k, 2 in ascending order.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1492.05413 - -0.05413. Which is smaller: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/24*-6)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 37 = -3*d, 0 = -340*m + 342*m - d + 7. Factor 136\/7*h - 12*h**2 - 2\/7*h**m - 80\/7 + 22\/7*h**3.\nAnswer: -2*(h - 5)*(h - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2\/14)\/(117\/546). Solve -4*s = -24 + j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0790745 grams in micrograms?\nAnswer: 79074.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043.79311 rounded to the nearest integer?\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 421\/(-1684)*(-1 - (-1 - 0)). Solve w = -4*x + 3*x + 5, 3*v - 4*x + 23 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/10))**(17\/3) assuming t is positive.\nAnswer: t**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*r = -r + 22, -5*v - 4*r = 2. Suppose 10 = -2*x, -5*i - 5232 - 978 = v*x. What is i rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/6*(-5)\/((-220)\/99). Suppose 3*y = -3*o + 2412, -5*o = 5*y - n*o - 4020. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/594)\/((-966)\/63 + 15).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 2*y - 2*y**2)*(-y + 0*y + 2*y + 0*y + 3*y - 4*y + (6*y + 10*y + 7*y)*(-3 - 2 + 1)) in the form s*y + w + o*y**2 + t*y**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 14 = 2*w, -2*w = 6. Suppose 33 = -q + z*q. Calculate the remainder when 7\/((-2)\/(-12)*2) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 25*f + 45. Let v(c) = 111*c + 181. Let g(m) = 9*j(m) - 2*v(m). Give g(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1108, 1106, 1104, 1102?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 6. Let m = 52 - 56. What is u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + n - 2764 = 5*s, 0 = -3*s + 3*n + 4137. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 896\/(-63) + (4 - -10). Which is the fourth smallest value? (a) -2 (b) -1 (c) g (d) 84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18075 + 18075.3. What is the nearest to f in 0, 1, -0.3, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/(p\/(p*p\/(p*p\/p**(-6))*p*p)))\/p))\/p*p)**15 assuming p is positive.\nAnswer: p**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2024 and -0.4.\nAnswer: -809.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60353172 a multiple of 1285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37359335.\nAnswer: 5, 13, 359, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -23) + 6 + (-14 - 31 - (-2 - -11)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 590*q**3 - 11*q + 4*q + 1108*q**3.\nAnswer: 518*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 8*r - 8. Let f = -8 - 1. Is s(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764\/((-45)\/(-20)*2\/21).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.15569826 rounded to three dps?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 31. Which is smaller: 30 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 - -15990?\nAnswer: 15956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14429 - -10233. Are z and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 - 321025*y**3 + 642110*y**2 + 2568280*y = 0. What is y?\nAnswer: -64207, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4310 is divided by 294.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6 + -2.842. Let h = w + -1.938. Let c = h + 0.18. Is 0.1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8 - 2*w - 6.\nAnswer: -2*w - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 12760?\nAnswer: 89320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -131123?\nAnswer: -131320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuuhhuhhhhhhu. What is prob of sequence hhu?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 139948506 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7953209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.9 + 0.6. Let y = -6.3013 - k. Round y to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2 + 3, 0 = 2*v - 4*d - 56. Let u be (-12)\/v - (-44)\/10. Solve -u - 20 = 4*i + 4*o, -i - 4*o = 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s - 43*s - 60 = 0. What is the smallest common multiple of 35\/(-2)*(-4)\/5 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 670.883626 + -0.677626. Let u = f + -670. What is u rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - (-21 + -21)) + (-1 - 17).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1028094 and 1272?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9.3. What is the closest to -0.3 in -3\/7, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 + 5*k**2 + 1 + k**2 - k**3. Let q be w(2). Let c(r) = -q + 6*r**2 - 1 + 6. Let g(d) = -4*d**2. Determine g(c(b)).\nAnswer: -144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*o = -4, r + 2*o = o + 4. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -19.37 (b) -2\/7 (c) -3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v. Let g(d) = d + 1. Let a(s) = -5*g(s) + w(s). Let f be a(-4). Suppose 17 + f = 5*q. Solve 4*c + q = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i - 90*i = -307*i + 98*i - 722 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102213 + 13?\nAnswer: -102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4061*t**2 + 8123*t**2 - t - 4061*t**2 - 12. Let g = 3 - 9. Is 2 a factor of k(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/((-10)\/12*(-108)\/30)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 34. Suppose 9*u - 30 = 3*u. Calculate the remainder when 70 is divided by z(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:10 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 7*v - 9*v. Suppose -28 = 5*d + 17. Let a = v - d. What is the highest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 1. Let t(a) = -23*a - 3. Calculate -2*n(f) + t(f).\nAnswer: -27*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 176, 264, 352, 440?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-3 - (3 + -6)) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + g - 7 - 6, -2 = 3*q + 4*g. What is the nearest to q in -2, 1, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -12*a**3 + 514*a**2 - 4786*a - 812 = 0.\nAnswer: -1\/6, 14, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33998173 and 2.4?\nAnswer: 81595615.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/8 + (-10908)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 32 + 6 = 0. Suppose -2*g + 87 = 5*p, -g + 2 = 6. Let b = w + p. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 134, 300, 466, 632, 798?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = 32*x. Suppose u + 13 - 30 = x. Solve -4*v = -5*y + u, 2*y + v - 6*v = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 1, f: 1}. Give prob of picking 1 u and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let o = -3 + 3. Suppose 3*a - 2*a - 2 = o. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u + 5*l, -3*l + 3 = 2*u - 6*l. Let s(o) = 5*o - 1. Let b be s(u). Let c be 2\/(-8)*b\/(-12). Is -1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4184 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*y - 9, -3*l + 2 = 2*y + 3. Suppose 0*a - 3*t + 13 = 2*a, 2*a - t - 1 = 0. List the prime factors of a - (l - 12*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/11175 and -28\/30843.\nAnswer: 771075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 136 = -202. What is the lowest common multiple of x and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1042184.599 to the nearest one hundred.\nAnswer: -1042200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227 divided by -17?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26988 - 26988 + h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 2:32 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42101303 (base 5) in base 9?\nAnswer: 578082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (2 + 0)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(60))\/sqrt(5))\/sqrt(6).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1\/6, 2\/59, 1\/5 in ascending order.\nAnswer: -17, -1\/6, 2\/59, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199086083?\nAnswer: 7, 79, 521, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 11*f**2 + 24*f - 37. Let r be n(9). Suppose 0*d + 289 = r*d. What is the greatest common divisor of d and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 3 - 1)*(12 + 2 - 3)*(-2 + 1 - 1)*(2*u + 2*u - 2*u).\nAnswer: -396*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -779, -1594, -2413, -3236, -4063?\n\"Answer: -2*i**2 - 809*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 19, 0.058271, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*b + 490 + 1283 = 4130 + 3655 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h. Let l(o) = -o - 8. Let a(f) = -1. Let q(m) = 24*a(m) - 3*l(m). Determine d(q(x)).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21473251.\nAnswer: 1399, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10044, 26, 250 in increasing order.\nAnswer: 26, 250, 10044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53887 by 1.\nAnswer: 53887","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.001155743 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 2. Let p(y) = 41*y**2 + 12*y - 19. Let z(b) = 370*b**2 + 110*b - 170. Let t(l) = -55*p(l) + 6*z(l). What is 4*t(j) - 50*v(j)?\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2 + 1228*g + 376996 = 0.\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 = 0, 0 = -3*h - 0*z + 4*z - 2. Let r(o) = 1 + 13*o**2 + 5 - h. Let a(m) = 2*m**2. Determine a(r(u)).\nAnswer: 338*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5288 - 4947. What is the least common multiple of 248 and v?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 884\/(-2261) - 2\/(-7).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 612 and 167841.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 8*f - 20. List the prime factors of x(-9).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 24. Let m(k) = -k**2 - 11*k - 6. Let f(h) be the third derivative of -h**4\/12 - h**3\/6 - h**2. Give c*f(v) + 2*m(v).\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l + 8 - 8 + l + 2*l - 4*l + (-4 - 2 + 5)*(-7*l + 3*l + 2*l) + l - 4 + 4 to b*l + t and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74267.08992 - 74251. Let q = -16.1 + y. What is q rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 10*p. Suppose 2*t = -i - 0*i + 47, p = -i - 4*t + 55. Suppose 189 = 3*v + i. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15925 + 5356 = 4*u - 11103. List the prime factors of u.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.7, -13988, 2\/9 in ascending order.\nAnswer: -13988, 2\/9, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -830.775 to 0 decimal places.\nAnswer: -831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6306 a factor of 404681244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 292*k**3 + 51*k**2 wrt k?\nAnswer: 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 - z**4 + 2*z**4 + 3*z**4 - 2*z**4 + z**4 + (z**2 + 2*z**2 + 14*z**2)*(4*z**2 - 2*z**2 + 0*z**2).\nAnswer: 37*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-230.\nAnswer: -5060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 = 4. Let m(g) = 2*g - 9*g + 5 + g. Let y(t) = -15*t + 8. Let i(r) = 7*r - 4. Let h(z) = -5*i(z) - 2*y(z). Give p*m(q) - 7*h(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:12 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -153, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) -1\/5 (c) 2.4 (d) 4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z, 32*z + 7 = 3*r + 37*z. Suppose -2*v - 3*v + 19 = -4*g, 4*v = 12. Let c = 4 + -3. Put c, g, r in decreasing order.\nAnswer: r, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 42. Suppose s = b*s - 19047. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.1, 3, -10320 in ascending order.\nAnswer: -10320, -3\/4, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + (-23302)\/(-244) - (3 - -26).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -432 + 120. What is the remainder when 22 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723854 bigger than 9723853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 8599*x**2 + 8582*x**2 - 17186*x**2 as p + t*x**2 + v*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -69034 - -11?\nAnswer: -69023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2. Let n(m) = 565*m + 332*m - 71*m. What is i(n(c))?\nAnswer: -1364552*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -1563*t + 1561*t - 6, -4*a - 10 = 6*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 - 423*l\/4 + 1248.\nAnswer: 3*(l - 128)*(l - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02970414671 to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525258037 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: Let m(w) = 11*w**2 - 11*w + 14. Let h(t) = 5*t**2 - 5*t + 312 - 138 - 167. Calculate 9*h(r) - 4*m(r).\nAnswer: r**2 - r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -45023?\nAnswer: -45005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + -4 - (26 - 25).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -8*d + 495. Suppose -p + 2125 - 2115 = -c, 0 = p - 4*c - 7. Calculate the highest common divisor of p and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, -27, -155, -407, -825?\n\"Answer: -7*q**3 + q**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 6) + 3 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 73 = 2*h. Let s = 71 - h. Is ((-5118)\/(-12))\/(s\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 7*g**2 - 6*g - 2. Let y be o(6). Does 5 divide 2 - -6 - (y - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - 43*k**2 + 60*k - 8. What is c(20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 35, 113, 261, 503, 863, 1365, 2033?\nAnswer: 2891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -840132, -11\/4, 1\/3, 3 in descending order.\nAnswer: 3, 1\/3, -11\/4, -840132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + a = -a - 84, -6*k + 172*a = 167*a + 197 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4, -9, 37, 14, -22 in ascending order.\nAnswer: -22, -9, -5, -4, -3, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 6 = -9*o. Let m = -4 - o. Solve 0 = -c - u - 3*u + 4, 5*c - 20 = m*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 24. Let z = 15 - g. Which is the nearest to -0.1? (a) z (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 438 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 35)\/5*((-42)\/28 - 4). Solve -16*v = -d*v - 224 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 64528.97 decades?\nAnswer: 6452.897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) 1.45 (c) 8 (d) 4 (e) -1 (f) -0.5 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50824 (base 12) to base 14.\nAnswer: 2a300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 + 116. Is o at least 26\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 49?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100233 (base 5) to base 15.\nAnswer: 5898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f + 59 = -15*f - 207. Suppose 46 = 2*v - 2*z, 3*v + 4 - 69 = z. What is the highest common divisor of f and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at most -1757683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**3\/3 - 6*d**2 + 4*d + 6. Let t be b(12). Suppose 0 = -t*f - 16, 5*s + 0*f = 5*f + 260. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + r**2)*(-3 + 2 + 0) - 6419*r**2 + 3193*r**2 - 3 - 7*r + 3179*r**2)*(4*r**2 - 3*r**2 - 3*r**2).\nAnswer: 96*r**4 + 14*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/15 + 3 + (-8)\/(-20). Let z(q) = 9*q**3 + 11*q**2 + 4. Let f(s) = 5*s**3 + 6*s**2 + 2. Calculate j*z(h) - 7*f(h).\nAnswer: h**3 + 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 275 or -429601?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 670, 1, 0.4, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbbblblbllbbb. What is prob of sequence bl?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:50 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 3)*((29 - 29 + x)*(0*x - 3*x + 0*x) - x**2 - 3*x + 3*x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 159?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1112 + 0?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-764)\/(-382)*(6\/(-4) - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 2, s: 1, g: 1, d: 1, p: 1}. What is prob of sequence hpsj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c38 (base 13) in base 11?\nAnswer: 6569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let q(c) = -4*c + 1. Let m be q(h). Suppose 0 = -0*p + p - m. Solve -4*l + 6 = -2*y, 0*y = 2*y - l + p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 4*r - 34, 2697*h - 2698*h = -r + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - -1) + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -85. What is the closest to 2 in n, 33, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16 + (-15 - -19))*3\/5. Suppose 0 = d*p - 156 - 11172. What are the prime factors of p?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 - 2*z - 5. Let g be y(4). Let a = -15 - -19. Solve -2*k = 4*c - 14, 2*c + g*k - a = k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -615107 + 1a?\nAnswer: -615098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 6*u = q + 7, -2*u = -4*q - 10. Sort -339, 4, u in ascending order.\nAnswer: -339, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 9*c**2 + 8*c. Let m be b(8). Let d be 0 - (-1 + (-576)\/(-2)). Let j = 2012\/7 + d. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(15\/(-84)))\/(124\/(-806) - 96\/390).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -559, 0.007, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4220616 - 4220377 + 8440992 + g.\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.3 - -2.3. Let r = p - -10. Which is the second biggest value? (a) -5 (b) r (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9756944283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142105 + -5?\nAnswer: 142100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -5, -6849, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -0.4, -1\/2, -5, -1, 0.58?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9) - 7\/(-3). Suppose 0 = -s*h - 3*p + 63, p + 3*p = -h + 33. What is the highest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110 - 1100?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*r - 15 = 3*u, 0 = -4*u - 4*r + 20. Calculate the smallest common multiple of 9 and (-15)\/(3 + u + -9).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-172)\/(-36) + 8\/36. Solve y*i - 2*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 611*(-57)\/(-2679)*(-6)\/(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 122, 473, 1060, 1883, 2942?\n\"Answer: 118*f**2 - 3*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-27)*-20 - (-17)\/153\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44253 or -0.1?\nAnswer: -44253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245994 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 493*u - 991*u + 497*u - 6. Let w(a) = -3*a + 6. Let z be w(4). Calculate y(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4045 + 4040. Which is the nearest to 0.1? (a) -1\/4 (b) -1\/8 (c) g (d) -0.107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -17\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359 + 359 + 233*f.\nAnswer: 233*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w - 831. What is the remainder when 75 is divided by p(39)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7548, -15128, -22710, -30294, -37880, -45468?\nAnswer: -53058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 + 43720*y - 1184085 = 0 for y.\nAnswer: -8771, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11570.\nAnswer: 2, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.9. Let f = -2 + 6. Which is the closest to n? (a) 0.1 (b) 1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5035990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1923 (base 12) in base 8?\nAnswer: -5753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**2 + 2*z + 3. Suppose 5*q - 35 = 5*c - 0*q, q + 9 = -3*c. Is w(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -39832*c**2 + 907 - 85 - 2468*c + 3330*c**4 - 33674*c**3 + 2698 + 350*c**5 - 41730*c**3 + 7604*c = 0?\nAnswer: -20, -2\/5, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*-1*3\/114. Let g = 252.2 - 252. Sort y, -3, g in descending order.\nAnswer: g, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 61. Solve 5*i - 3*z + 3 = 17, -5*i - 2*z = n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183572513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 195545426299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u + 2*y, 2*u - 2 = u + 3*y. Suppose 2*r - 7 = j + 7, 2*j + 2*r - u = 0. Which is the third biggest value? (a) 2 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, -4, 4, -9703, -12 in descending order.\nAnswer: 4, 1, -1, -2, -4, -12, -9703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 470906*i**2 - 275*i + 167.\nAnswer: 941812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:59 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4991, 4988, 4987, 4988, 4991?\nAnswer: 4996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -12313103?\nAnswer: -12313111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from oowwwwwwww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 558*i + 545*i - 1104*i. Let f = -3 - -7. Suppose -p - 3 = -f*c + 21, -2*c + 10 = 0. Give l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**3 - 9*p**2 + 14*p + 7. Calculate u(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*g + 4. Suppose -g = n - 0*n. Let c(x) = -x**3 - x**2 + 5*x + 7. Let t be c(-2). Put t, n, 4 in decreasing order.\nAnswer: 4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*sqrt(1088) + 3 - sqrt(1088) - (-1 + (sqrt(1088) - (3 + sqrt(1088)))))*3)**2 + 3.\nAnswer: -151200*sqrt(17) + 8823828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3 + 176*t**2 + 948*t + 1368 = 0.\nAnswer: -38, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1021 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 k, and 1 r when four letters picked without replacement from {k: 2, t: 2, r: 1, c: 4}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37915, 75210, 111895, 147976, 183459?\nAnswer: 218350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-126)\/(-2646) - 1\/21. Solve -5*c - 123 + 93 = v for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 493 + -256. Suppose 13*p = 335 + n. Sort 4, p, -4 in descending order.\nAnswer: p, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2160*f + f**2 - 2159*f - 2159*f + 8651*f - 2173*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*((2*n**2 + n**3 - 2*n**2)*(n - 2*n + 3*n) + 3*n**4 - n**4 + 0*n**4) to p*n**4 + y*n**2 + z*n**3 + d*n + a and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g + 1. Let u = -4127 + 4123. Let t(j) = 3*j**3 - 4*j - 2. Determine u*h(d) + t(d).\nAnswer: -d**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**4 + 16*g**3 - 20*g**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5542.\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1509 divided by -179865.\nAnswer: -503\/59955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 3.5. Let f = -58 - -420. Let i = f - 365. Which is the closest to k? (a) i (b) -2\/19 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20900579 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.584026 to 2 dps.\nAnswer: 11.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 609752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/85 + 919\/680. Put 10, -3, q in descending order.\nAnswer: 10, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4 = -2*p + 3, -3*p = 4*c + 5. Let v = 2 - p. Let w = v + -8. Sort 15, w, 0.\nAnswer: w, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.1509\nAnswer: -0.6036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(355\/994*7\/20)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011011110000111011101 (base 2) to base 15.\nAnswer: 3e5e2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29320 and 54080.\nAnswer: 39640640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -244.4 and 2013.\nAnswer: 1768.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w - 6. Suppose 5*b = -2*u - 2*u + 63, -3*u = -6. Let y(f) = 26*f + 17. Calculate b*q(v) + 4*y(v).\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104964995953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.5 + 18.587. What is l rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 10439 - 10439.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00746751 take away 33.834?\nAnswer: -33.84146751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 8*m + 8*m. Let b(x) = 6*x**2 - 8*x. Calculate g(b(v)).\nAnswer: 6*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + m**2 + 6*m + 5. What is u(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8785 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1199*n + 546. Is o(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w. Suppose w = 5*l - 3*l - 5*b + 23, 22 = 2*l + 4*b. Calculate the remainder when 2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**5\/5 - m**4\/12 + m**3\/2 + m**2\/2 - 3*m. Is g(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 4*v**3 - 4*v**3 + (2*v**3 - 4*v + 4*v)*(-1 + 1 - 3).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1929 = 5*v + 1869, -2*v - 2*g = -32. Let x(l) = -l**2 + 17*l - 21. Determine x(v).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4674 and 4153628.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -281 + 282. Let i(a) be the first derivative of -2*a**2 + 4. What is i(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 4, h: 5, n: 5, z: 1, q: 1}. What is prob of sequence kjhq?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m**2 - 2*m)*(2*m**3 + m**3 + 0*m**3) + 5*m**5 - m**5 - m**5 + (0 + 2*m + 0)*(-2*m**4 + m**4 + 4*m**4).\nAnswer: 15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 4985411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 390203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 235353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/14)\/(438\/(-511)). Put a, 2\/9, -131, -0.2 in increasing order.\nAnswer: -131, a, -0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(27)\/(sqrt(72)\/sqrt(8))) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(0 + 1\/(-12)). Let t = 0.6 - 0.3. Let c = 21 - 26. What is the smallest value in t, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*g - 190, 0*r + 2*r = -5*g + 160. Let x be 1618\/6 + (4 - r\/15). Suppose -1072 = -4*u + n + 2*n, -n = -u + x. Does 53 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 9*o + 12. Let w be b(9). Suppose w*t + 141 = 15*t. What are the prime factors of t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900\/300*2\/(-14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3 = -0. Let t be 72\/6*(-30)\/(-9). Does 16 divide 1*t - (q + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -4\/3, 647, -3, -0.7, 4 in increasing order.\nAnswer: -3, -4\/3, -0.7, -1\/2, 4, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 7, o: 3, f: 2, w: 2, j: 5}. What is prob of picking 1 b, 2 j, and 1 f?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2. Suppose -16 = -3*n + 11. Let b(g) = 5*g + g - n*g. Calculate y(b(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 5 - 5 + (0 - 2*n + 0)*(-2 + 1 + 3) + n - n - n)*(-98 - 228 + 648 - 122) to the form r*n + u and give r.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3034137 (base 8) in base 4?\nAnswer: -3003201133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/10*(-17 + -1). Let w = u - -15. Solve 3*h - 4 = -l, w = l - 2*h + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 + 160*y + 7 + 19*y - 8.\nAnswer: -6*y**3 + 179*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**3 + 6*i**3 + 9*i**3)*(4 + 2*i - 4)*(1 - 1 + i).\nAnswer: 16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*sqrt(7)*-1 - sqrt(7)) - (sqrt(847) + 2 + sqrt(847) + -5).\nAnswer: -42*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -702*c**3 + c**2 + 8*c + 2. Let u(r) = 2807*r**3 - 5*r**2 - 37*r - 9. Determine 9*j(q) + 2*u(q).\nAnswer: -704*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 0\/(-1))\/(-1). Let f(h) = -h**2 - 6*h - 5. Let o be f(-4). Suppose -4*i = -5*z + 11, 5*i + o + 1 = 3*z. Put z, g, 1 in increasing order.\nAnswer: g, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Suppose 5*u - 4*j = 10*u - 8, 0 = 4*u + 5*j - 1. Let n(t) = -2*t**2 + u*t**2 - 7*t**2 - 4*t**2. What is o(n(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 6, c: 4, q: 9}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31802, -31811, -31814, -31799, -31754, -31667, -31526, -31319?\nAnswer: -31034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and -56242?\nAnswer: 56234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-3 + (-7)\/(-2)). List the prime factors of -2*((-33)\/6 + k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b + 27. What is the remainder when 62 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 135 = -6*g. Calculate the greatest common factor of 108 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -5, -267203, -21, 4, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -610190 divided by -230?\nAnswer: 2653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19112, -38099, -57078, -76049, -95012?\n\"Answer: 4*v**2 - 18999*v - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 11*b. Let q(t) = 10*t - 10. Let c be q(3). Suppose 0 = -5*v - c, 0 = -3*j + 3*v + 7 - 1. Let o(f) = -5*f. Determine j*m(i) + 5*o(i).\nAnswer: -2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 46*y - 46. Give o(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**2*t**2*z + 2*r**2*t*z + 13*r**2*t - 757*r*t**2*z + 29*t*z wrt t?\nAnswer: 4*r**2*z - 1514*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g - 1. Let b be a(2). Suppose -b = -3*u + 20. What is the second derivative of -y**4 - u*y - 6*y**4 - 27*y**4 + 41*y wrt y?\nAnswer: -408*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4258 - 4262. Sort 30, -0.11, m.\nAnswer: m, -0.11, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaa when three letters picked without replacement from aajaaaja.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 y when three letters picked without replacement from zkymu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 769 - 764. Calculate the highest common factor of 51 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 164, 168, 168, 164, 156, 144?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 6) + 11 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ginrvrrnrvrr. What is prob of sequence ivgn?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 31*w**2 - 33*w + 125. Let j be x(30). What is the third derivative of -825*k**3 + 3*k**2 - j - 198*k**5 + 825*k**3 wrt k?\nAnswer: -11880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1681*z**3 - 150 - 1683*z**3 - 12.\nAnswer: -2*z**3 - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599 a factor of 581871917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2610, 2645, 2702, 2781, 2882, 3005, 3150?\n\"Answer: 11*u**2 + 2*u + 2597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21330 + -2?\nAnswer: 21322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjlllll. Give prob of sequence lljj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t - 4*t - 17 + 5*t + 6*t. What is the remainder when v(5) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21 + -0.41. What is the fourth smallest value in -4, 29, 4, q?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 4558500.\nAnswer: 9117000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -1\/301 (c) 2\/5 (d) -0.2 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.008 - 2.408. Let v be (-10)\/(-15)*6\/14. What is the closest to -0.1 in m, v, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86614?\nAnswer: 2, 11, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 659, -20, 8.\nAnswer: -20, 8, 659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -2 + -3 + 2 + sqrt(405) + -1 + sqrt(405) + (-2*sqrt(5) + sqrt(5) + 5 + sqrt(55)\/sqrt(176))*6)**2.\nAnswer: 1170*sqrt(5) + 12829\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j + 278. Let z be k(-34). Suppose -14 = -3*p + m, z*p - 2*p - m = 17. Which is greater: p or -2\/103?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 224653.\nAnswer: 224651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 3 (c) 0.5 (d) 4 (e) 0.26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*g**3 + 35\/2*g**2 - 5\/4*g**5 + 5\/2*g**4 + 25\/4*g + 0 = 0. Calculate g.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 585.3194 meters?\nAnswer: 0.5853194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**2 - 119405*p - 716610 = 0.\nAnswer: -6, 23887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/120 - p**5\/60 + p**4\/4 + 1039*p**3\/6 - 74*p**2. Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at least as big as 169\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2988*o + 17909. What is c(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42372, -84710, -126954, -169056, -210968, -252642, -294030?\nAnswer: -335084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 + 2)\/(-26))\/((-2)\/8)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -45\/2 (b) 0 (c) 0.3 (d) 3\/2 (e) -2\/715 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*o - 3\/5*o**2 - 1\/5 - 1\/5*o**3 = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*r - 273644, -9*d + 615712 = -3*r - r. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*n, 5*y + 6*n = n - 60. Let b(d) = -d**3 - 6*d**2 + 6*d - 10. Calculate b(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-628)\/(-8478)*((-12)\/10)\/(-2).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y + 1. Let c be a(4). Suppose 5*z - c = -2*x - 0*z, -5*x + 2*z = -125. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2 - 399*y = 0.\nAnswer: 0, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 11. Suppose 4*d = 3*d - 6. Let j be x(d). Let r = 11 + -16. Sort j, -1, r in ascending order.\nAnswer: r, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -2\/247, 0.87?\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/14 + 4\/14. Let b be (0\/o)\/3 - -1. Let h(k) = 4*k. Let z be h(b). Solve 2*f = -z*c - 6, -3*c + 3*f = c + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9262792367 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 466097 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/2 + -4)\/((-12)\/(-15) + -1). Solve b - a = -2*i, 5*i - 5 = 8*i - b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 671*1083\/21*-2. Let j = y + 69723. Let o = j + -513. What is the second smallest value in 2\/9, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**5\/4 - 751*s**4\/2 + 58775*s**3\/4 + 19715*s**2\/2 - 36115*s + 11938 = 0.\nAnswer: -2, 2\/5, 1, 47, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3918 and 59136333.\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 11*t**2 + t - 11. Let a be l(11). Let p(j) = j + 4. Let h be p(a). Suppose 406 = 6*x - h*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14131 divided by -5.\nAnswer: 14131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, h: 2, m: 5}. Give prob of sequence mnh.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let h(c) be the first derivative of c**3 - 28*c + 13. Let v(l) be the first derivative of h(l). Calculate v(y(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:20 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21730.4169 take away 0.8?\nAnswer: 21729.6169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 936 + -932.09. Let h = q + 0.09. Let u = -154 + 154. What is the third smallest value in -0.4, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 17*y**4\/3 + 5*y**3\/3 - 41*y**2\/2 + 3*y + 21. What is the units digit of p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5}. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4277*g*h**2*w**3 + 2*g*h**2*w**2 - 11*g*h**2*w - 3*g*h*w**2 + 653*g*w + 32485*h**2*w**3 - h**2*w + 10*h**2 + 2*w**2 wrt w?\nAnswer: -25662*g*h**2 + 194910*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12970018 divided by 2.\nAnswer: 6485009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -319, 3 in decreasing order.\nAnswer: 3, 0, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/126 - 230\/(-18). Let c = n - 13. Suppose c = m + 2*v - 4, -5*m = 3*v - 17 - 17. Calculate the remainder when 21 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m = 74 + 37 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1077.8 - 1085.8. What is the nearest to m in 6, 2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*(-44 - -1))\/1. Let g = j - 61. What is the units digit of ((-14)\/4)\/(3\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 96.09\nAnswer: -192.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y + 39. What is f(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiigiig. What is prob of picking 4 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 9 = -3*h, -2*h = 5*q + 2 - 9. Suppose -4*i + q*x + 157 = 0, 4*i - 158 = -14*x + 16*x. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142.7 + -137.7. Let h = 0.2 - 0.2. Let s = h - 0.2. What is the nearest to s in -0.5, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (57\/190)\/((-36)\/(-15)). What is the third biggest value in 41, l, 0.5, 44?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278 and 2105294.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -1\/131?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3144*z + 3094*z = -1200 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -91\/4, -2\/15, -0.068?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*f - 23, 5*f = f + 4. Let d(v) = 5*v - 1. Let h(b) = -4*b + 1. Let u(j) = q*d(j) - 5*h(j). Let g = -1 - -2. Determine u(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 21*q**2 + 26*q + 122. Let b be f(-20). Let s(w) = -27*w**3 - 2*w**2. Let u(a) = -53*a**3 - 5*a**2. Give b*u(n) - 5*s(n).\nAnswer: 29*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(2000))\/(sqrt(324)*3 - sqrt(324))*2)**2*-4.\nAnswer: 8000\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(45) + sqrt(405)).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.5 millimeters in micrometers?\nAnswer: 264500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(128) + -1*sqrt(128) + 1)*1)**2 - (-5 + (sqrt(162) - (0 + sqrt(162) + 3)))**2).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -25*o**4 + 8*o**3 - o**2. Let j(x) = -6*x**4 + 2*x**3. Let y(l) = -4*g(l) + 18*j(l). Let y(s) = 0. Calculate s.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7397, -7401, -7405?\n\"Answer: -4*g - 7393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*d + 78961 = 143*d. Suppose 2*b = -0*b + 144. What is the remainder when d is divided by b?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 8*v**2 - 8*v + 17. Determine a(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*w = -42, -47*l + 2*w = -88*l + 45*l - 52 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 13. Let m(g) be the third derivative of 0*g - 5\/6*g**u - 1\/60*g**5 - 1\/24*g**4 + 0 - 3*g**2. What is m(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/249903 and 13\/4276118.\nAnswer: 38485062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-1 + 2*z**2 + 1) + (-1 + 1 + z**2)*(3 - 6 + 2) + 2*z + 2*z**2 - 2*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttstxxts. Give prob of picking 2 t.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744924733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 575148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide -46*(-3 - (2 - 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604 divided by -186?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z**3 - 29*z**3 + 90*z**3 - 30*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1440 + 1692. Calculate the least common multiple of l and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = 39*y + 116859. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Suppose -z*w - w + 8 = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 20 = k, 34 = -3*k + 4*k + 4*d. What is the least common multiple of 16 and k?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q. Let a(c) = -55*c + 429. What is a(i(v))?\nAnswer: 275*v + 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by 1580106.\nAnswer: 67\/790053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001973833 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.99235 centuries in millennia?\nAnswer: 8.199235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*d, d = 3*k + 20 - 4. Let -26*m**d - 16*m - 36*m**3 + 7*m**4 + 5*m**4 - 2*m**5 - 40*m**2 = 0. Calculate m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114.44 * 0.3.\nAnswer: 34.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 179*p**4\/24 + 179*p**3\/6 + 200*p**2. What is the derivative of k(s) wrt s?\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/2214)\/((-2 - (-49)\/14)\/45)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o - 2. Let w(t) = 1239*t**3 + 404*t**2 + 6*t + 12. Let f(p) = 6*s(p) + w(p). What is the third derivative of f(j) wrt j?\nAnswer: 7434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4 + 740*q**3 - 1221640*q**2 - 19702160*q - 34511904 = 0. Calculate q.\nAnswer: -646, -14, -2, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -70707 not equal to -70674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqnv when four letters picked without replacement from {v: 2, n: 1, d: 1, q: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-6) + 95\/(-171)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.05281 to three decimal places.\nAnswer: 1.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 181, 606, 1429, 2782, 4797, 7606, 11341?\nAnswer: 16134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*g**2 + 43*g**2 + 40*g**2 + 4*g)*(3 + 0 - 4) in the form z*g + a*g**2 + s and give a.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64 and -87614091.\nAnswer: -87614027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -263\/6 in 1\/6, 5\/8, -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 + 3516716*z\/5 - 3091822856164\/5.\nAnswer: -(z - 1758358)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:41 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 39*w = 989, 5*u - 4*w - 51 = -2*w - 3*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -178*g**2 - 290*g - 528. Find the first derivative of u(b) wrt b.\nAnswer: -356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + c = -7, 2231*g - 5*c + 40 = 2231*g. Let k(l) = l**3 - l**2 + 2*l - 3. Let p be k(3). Calculate the highest common divisor of g and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785942002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765 is divided by 100.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685593?\nAnswer: 3, 17, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6509.6 and -204175479.\nAnswer: -204181988.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 62238 (base 10) to base 2\nAnswer: 1111001100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 - 72. What is the remainder when 63 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*d - 2*h - h, 3*d - 4*h + 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.33 - 0.33. Let k = 17.999983 - j. What is k rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m*m*m**(-2\/7)))**(4\/7)*((m**(2\/21)*m)\/m**(-6))\/(m**(3\/4)*m*(m\/(m*(m\/(m\/m**(-1)))\/m))\/m) assuming m is positive.\nAnswer: m**(1979\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255504, 511012, 766522, 1022034, 1277548, 1533064?\nAnswer: 1788582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -2 + (-66)\/(-11). Let c = m - -134. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3593, 7200, 10821, 14462, 18129, 21828?\nAnswer: 25565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*m - 228 = 392. Put -2, 2, 3, m, 39 in ascending order.\nAnswer: -2, 2, 3, m, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 2475072.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxgxxxlgggx. What is prob of sequence gl?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axaaaaaaxaaxaaa. Give prob of sequence xaaa.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:40 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 23*v**3 + 11*v**2 + 6*v - 3. Let n(f) = -46*f**3 - 21*f**2 - 10*f + 5. Give -5*j(c) - 3*n(c).\nAnswer: 23*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) 280\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.932399 plus 0.5?\nAnswer: -1.432399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1515 = -163*w - 734 + 1990 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 10*l**2 + 7968*l - 15972. Determine f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/20405232 and -15\/6234932.\nAnswer: 224457552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 85. Let t = -30 + m. Find the common denominator of 63\/10 and (t\/12)\/(4\/(-2)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + k**2 + 2*k**2 + (0*k + 4*k - 2*k)*(0 - 2*k + 0) - k**2 - 2*k**2 + 5*k**2 - 76*k**2 + 47*k**2 + 62*k**2 - 4*k**2 + 0*k**2 + 9*k**2.\nAnswer: 38*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/16*2)\/((-2318)\/218 - -11) and -1\/18.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + y + 1 = -3, o - 3*y = 2. Suppose -o*n = -n - 19. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106645 - 106675 - 106645 + 319965 - 155*r.\nAnswer: -155*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-340*d**2 + 67*d**2 + 1944*d**2)*(-2*d**2 + 5*d**2 - 5*d**2 + (1 - 1 + 2*d)*(0*d - 2*d + d)) in the form s*d**3 + l*d + m*d**2 + p + c*d**4 and give c.\nAnswer: -6684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 377806085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/2 in 1, 1465, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(605) + sqrt(605) + (-2 + sqrt(605))*1 + sqrt(605) + sqrt(605))**2.\nAnswer: -1100*sqrt(5) + 15225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(48) - (-1*sqrt(27) + sqrt(27) - sqrt(27)))**2.\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1059 + -75. Is 82 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 3*d**2 - 5*d + 6. Let h be w(4). Suppose h*z - 45 = 19. Calculate the remainder when 94 is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-672)\/48 - -16*1. Let y be 1*-3 - (-10 + 1). Suppose -2*m = 2 - y. Solve 2*f = m*w, s*f = -3*w + f - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Let i = 626 - 625. Which is the closest to p? (a) 4 (b) 3\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v - 115 = 0. Solve -3*b + 14 = w, -b + 6*b + 2*w = v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7405 - -7527. What is the remainder when 14881 is divided by n?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1103332 (base 5) to base 13\nAnswer: 8993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*2\/12*3. Suppose 6 = -o*f, 2*f = 4*l - 3*l - 14. Suppose -l*z + 360 = z. Is 40 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 - 0 - (-11 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 27. Let u be n(8). Suppose -8*k = u*k - 110. Let v = 39 - k. Calculate the highest common factor of 145 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -2. Let a(q) = q**3 - 11*q**2 + 9*q - 12. Let i(b) = b**2 - b + 4. Let y(p) = -a(p) - 5*i(p). Give y(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3\/2 - 406*h**2 - 1736040*h + 1854885600 = 0?\nAnswer: -1948, 1380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 9. Let v = w - -3. Let j = -6.00000175 + v. What is j rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3311059 + 3311059 + 17*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -20*750\/9*4560. Round g to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4 - 40*r**3 - 60*r**2 + 360*r + 378 = 0. Calculate r.\nAnswer: -3, -1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 11:13 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - w**3 + 10*w**4 + 180 + w**2 + 178 - 357 + 2*w**3 to z*w**4 + n*w**2 + u + r*w + b*w**3 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b. Let g(u) = 199*u**2 + 63*u**2 + 1397*u**2. Determine m(g(t)).\nAnswer: 8295*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -834086, -6, -45 in increasing order.\nAnswer: -834086, -45, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*u + 1 = -r, -5*r + 15 = 5*u. Is 44 a factor of 2 - (r - (38 - -6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**3 + 240*t**3 - 2 + 178*t**3.\nAnswer: 402*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(192) - sqrt(192))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4951 - -4974 - (3 + -2 + 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -0.4. Let h = -0.47 - 0.53. What is the nearest to z in 1\/5, -2, h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k**2 - 31*k**2 - 52 - 44.\nAnswer: -72*k**2 - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = v + 2*y - 15, -5*v - 4*y + 35 = 0. Suppose 9185 = v*c - 4*s - 9530, -5*c - 4*s + 31245 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6.17. Suppose -11*h - 15 - 11 = -4. What is the fourth biggest value in -4, -3\/8, h, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23174 - -46797. What are the prime factors of b?\nAnswer: 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404679730 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2610396.4 minus 0.31?\nAnswer: -2610396.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*j, 0 = 2*v + 3*j + 1. Let n = 6 - v. What is the highest common factor of n and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17161, -17158, -17155, -17152?\nAnswer: -17149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569 = -364*l - 150*l + 55 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65615074 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3)\/((-39)\/13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + s + s = -6, 5*s + 7 = 2*g. Let n be (-2*(-7 + 476\/70))\/(1*190). Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*p + 7 - 31, -x - 12 = -5*p. Suppose 0 = 5*d + 3*t - 2*t - 1101, -658 = -p*d + 2*t. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 5*i**2 + 6*i - 7. Let w be t(-6). Let k be (-26)\/w - 10\/(-35). Suppose 342176 = k*x + 22176. What is x rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120041056 (base 7) to base 12.\nAnswer: 259b097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7709417 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q = 46. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224 + -204 + (-2 - (-3 - -3) - -4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 3*q - 6 = 0. Let j be 3\/q - 162\/(-4). List the prime factors of (j\/(-4))\/((-6)\/16).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -3668?\nAnswer: -366a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 15*w + 5. Let h(q) = 3*q**2 - 12*q + 4. Let c(a) = -4*g(a) + 5*h(a). Let d(n) = 98*n**2. Determine c(d(p)).\nAnswer: -48020*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -53251.2651 to the nearest 1000.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 10. Let t be y(6). Let v(d) be the third derivative of 5\/6*d**3 + 2*d**2 + 1\/20*d**5 - 1\/6*d**4 + 0*d + 1\/120*d**6 + 0. What is v(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*t + t + 3, 0 = -2*t - 3*r + 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*m + 1240, 3*w = -m + 5*w + 416. Suppose 2*o + 4*g = m, 7*o + 2*g = 3*o + 816. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 15*r - 28. Let x be p(-13). Is 5 + x + (-5 - -955) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/14)\/(u**1*u)*(u**(-1\/2))**36 assuming u is positive.\nAnswer: u**(-281\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85, -97, -133, -205, -325, -505?\n\"Answer: -2*l**3 + 2*l - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 783902812 divided by -3389?\nAnswer: -231308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.05151 + -0.05151. What is the closest to 3.4 in -5, -1\/5, -4, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14669832 divided by -2676?\nAnswer: 5482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7605 = -160*m + 173*m. Is 45 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 - 228?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q - 5*q)*(-2 + 4 + 0)*(5*q + q - 5*q)*(-4*q**2 + 4*q**2 - 3*q**2).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 115240 to the nearest 1000.\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 - y - 4. Let d(w) = w**2 + 1. Give 3*d(z) + n(z).\nAnswer: 9*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*-8*7\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4821465 + -364.98288.\nAnswer: 4821100.01712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**10\/g**(5\/6))\/(g**(-1\/9)\/(g*g**3)))**(-1\/62) assuming g is positive.\nAnswer: g**(-239\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 g when four letters picked without replacement from gaqgrgraqegqeagqggag?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/25 and -29\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -614 (b) 5 (c) -0.4 (d) 7 (e) 1.9 (f) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 115, -126, 1\/10, 2, -5\/2, 0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11*(-1)\/(-2)*2. Let t be (r - 9) + 1 + -4. Is (0 + t)\/((-1)\/95) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + 0)) + 3 + 2)*-1 + 0 + 2*((0 + 0 + sqrt(931))**2 - sqrt(931)).\nAnswer: -14*sqrt(19) + 1857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 11. Let a(s) = s**3 - 10*s**2 + 2. Let m be a(10). Suppose 4*b - 43 = -7*p + 2*p, m*b = -4*p + 26. What is the highest common factor of q and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34, 123, 234, 379, 570, 819, 1138, 1539?\n\"Answer: 2*b**3 - b**2 + 78*b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 906*v + 2703. Give z(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/7099?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 8*m - 54 - 94 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.96482 to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1701409954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b + 144. Suppose 0*s + 17*s = 340. Let q be p(s). Solve 3*c = -q*h + 3, 3*h = 3*c - h - 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.5 (c) -0.3 (d) 89 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*b**4 - 61077 + 60951 - 73*b**4 + 3*b**2 wrt b.\nAnswer: -224*b**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/220 and 18\/80*(-4582)\/2607.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 85. Let a = 845\/11 - r. Is a greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 23. Suppose 4*b = -b + t. Suppose -1 = o - 3, -b*g + 3*o = -86. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 2, -2, -3, 3, -8 in descending order.\nAnswer: 65, 3, 2, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49\/162, 14, -0.8, -1\/10?\nAnswer: 49\/162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))**(-1\/2))**(7\/12) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70720776?\nAnswer: 2, 3, 7, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - 6 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(1\/2)*s)\/(s*s**(-2)\/s*s)*s\/(s**(2\/23)\/s)*s\/(s*s**(-5)))\/((s**1)**43)**(-18\/5) assuming s is positive.\nAnswer: s**(37999\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62017508, -124035010, -186052512, -248070014?\n\"Answer: -62017502*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/20 + 2)\/(-1). Which is the biggest value? (a) 0.5 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25214 divided by -211.\nAnswer: 25214\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1255? (a) -0.1 (b) -0.01 (c) 0 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1763373 is divided by 195.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5771 divided by 6009?\nAnswer: -5771\/6009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -127*f + 641. Let t be j(5). Solve -2*l - 12 = 4*y + t, -20 = 5*y + 2*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 792, 3189, 7192, 12807, 20040, 28897, 39384, 51507?\nAnswer: 65272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.1, 1\/37, -10.48 in descending order.\nAnswer: 1\/37, -0.1, -0.3, -10.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.052 and -54.22.\nAnswer: 2.81944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2, -2\/7, -0.0250381 in ascending order.\nAnswer: -2, -2\/7, -0.0250381, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4103 = 4099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2. Let g = -76 - -78. Let r(j) be the first derivative of 0*j - 1 - 1\/2*j**g. What is r(b(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((740\/2886)\/(-5))\/((-240)\/(-130))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -405372, -405375, -405388, -405417, -405468, -405547, -405660?\n\"Answer: -h**3 + h**2 + h - 405373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 322664*k**2 - 322652*k + 645320.\nAnswer: -4*(k - 1)*(k + 2)*(k + 80665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*d - 975*d + 344*d = -335*d - 444 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -489 + 853. What is the greatest common factor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -18) + -6 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.043, 0.2?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -22. Let t(l) be the second derivative of -l**2 + 2*l - 3\/20*l**5 + 0*l**3 + 0 + a*l**4. What is the derivative of t(q) wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 2 + 0*w - 3\/2*w**2. Let m(z) be the first derivative of z**2 + 2. Calculate m(j(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 1, a: 1, g: 2, f: 1, l: 1}. What is prob of picking 2 g and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149 and 142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6083879 to the nearest integer?\nAnswer: 2467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(882) - sqrt(882))*-3)\/(4*sqrt(36) + sqrt(81)*-2))**2.\nAnswer: 3969\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -128 + 88. Solve -9*f + i*f + 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.37415 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 6*b**2 + 2*b. Let g(w) = 4*w + 4 - 10 + 8 - 2. Calculate r(g(x)).\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z**13*z)\/z)**(-3\/22))**(-8\/17))**(-24))**(-2\/11) assuming z is positive.\nAnswer: z**(7488\/2057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 108*z**2 - 4857*z - 137. Determine m(45).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*11\/11*1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409147 is divided by 878.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 + 33*j - 49. Let u(o) = 19*o**2 - 131*o + 197. Let n(b) = 22*t(b) + 6*u(b). Let n(r) = 0. Calculate r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 a, and 2 q when four letters picked without replacement from {a: 2, o: 1, v: 4, g: 5, n: 1, q: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*t - 2 = 0, 2*o - t - 8 = -2*o. Calculate the remainder when o\/(-3) - 7130\/(-30) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/12 (b) -141700 (c) 5 (d) -6.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54159 - 54158.45538. Round j to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 148305*r**3 - 336652360*r**2 + 191050231325*r - 12882250 = 0.\nAnswer: 2\/29661, 1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200749038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48230 rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24903991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861692594.\nAnswer: 2, 7, 1249, 49279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - b**2 + 2227*b**3 - 1119*b**3 - 32*b - 1114*b**3 + 1 to the form n + m*b + j*b**3 + x*b**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*g**2 - 26 + 33 + 185*g**2.\nAnswer: -2*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.085 and 4.\nAnswer: 4.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**3*o**2*v**3 + 2*j**3*o*v**3 - 231*j*o**2*v**3 - 2*o**2 - 93*o*v**3 wrt o?\nAnswer: 8*j**3*v**3 - 462*j*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = l - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Suppose -40*u + 59*u + 1729 = 0. Let v = u - -89. Put 0, v, -0.12, i in descending order.\nAnswer: i, 0, -0.12, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w + 16 = 0. Let t = w - 2. Solve -t*j + 19 = -0*j + 5*l, 0 = j + l - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 58\/3 of a hour?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1854 (b) 6 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5 + 0 = -y, 5 = -c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/12 and -91\/42164.\nAnswer: 126492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/35)\/b**(-6\/17))**(-28))**(3\/16) assuming b is positive.\nAnswer: b**(-132\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18030 by -30.\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjxkjvkkxxjikkxx. Give prob of sequence jx.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-1 - (3 - 7)). Let v be 2 - (-2 + (-22)\/s). What is the nearest to -2 in 0.1, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -245. Suppose 4*v - 5*m = 14, 0 = 5*v - 4*m - 23 + 1. Let a = v - -6. What is the greatest common divisor of p and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + 2 - 5) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -55.3 times -1\nAnswer: 55.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = a - 10. Suppose 0 = h - 4*f - f - 4706, 9 = a*f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, -7, -614, -1905, -4090, -7379?\nAnswer: -11982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-161)\/105 + 1)\/(-9 + (-1480)\/(-120)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-40) - (-252)\/10. Let z = t + -9. Suppose -3*q + 120 = 2*q. Calculate the highest common factor of q and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8683192*h**3 + 1716386*h**2 wrt h?\nAnswer: 52099152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/5 - 2\/5. Put 11, m, 5 in increasing order.\nAnswer: m, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 3. Let b(h) = 1. Let m(l) = 3*b(l) + q(l). Differentiate m(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 5*h**2 - 4*h - 1. Let q be s(-4). Suppose -j + 2 = j. Put -3, q, j in ascending order.\nAnswer: -3, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7425503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-14 - (-20 - -17)) - -18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 6*b**2.\nAnswer: 2*b**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2905*y - z + 40 = -2916*y, 0*z + 0*z - 2*z - 1 = -18 + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1085 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 2*l - l)*(-39*l - 170 + 338 - 170 + (4 - 2 - 3)*(0*l + l + l)) to the form u + f*l + d*l**2 and give d.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-1\/3))*y)**(-1\/29)\/(y*y**1*y*((y**(-1\/8)\/y)\/y)\/y*y) assuming y is positive.\nAnswer: y**(-625\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/23 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 431853841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2 - 676*j + 548 wrt j.\nAnswer: -4*j - 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*n = 8, -4*t = -0*t - 5*n + 6. Let r be 3 + -2 - (t + 0). Let i be (-9)\/8 + 1 + 0. Is r at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 4*f**2 + 4*f + 7. Let u be t(5). Suppose -4*y + 3*a + 93 = 0, -2*y - u*a + 4*a = -46. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 900, 1777, 2654?\n\"Answer: 877*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/1411039?\nAnswer: 1\/1411039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 450 + -456. Sort u, 1\/4, -16.\nAnswer: -16, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 2. Let a(r) = 6*r + 4. Let l(w) = 4*a(w) - 7*g(w). Let j be l(8). Suppose 0 = -30*z + j*z + 316. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73.5 - 67.69. What is l rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -13.5. Let j = 2.499989 + p. What is j rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 15*v**6\/8 + 59*v**5\/10 + 2325*v**2. Find the third derivative of a(t) wrt t.\nAnswer: 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i - 89 + 155 = 0. Let u(z) be the second derivative of 2*z**i + 1\/3*z**6 + 11\/5*z**5 + 0*z**2 + 23\/6*z**4 + 9*z + 0. Let u(w) = 0. Calculate w.\nAnswer: -3, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97909830691 minus 4?\nAnswer: -97909830695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose r*f - f - 130 = 0. Let w = f - 35. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.26 and 9346712.5727.\nAnswer: 9346712.8327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hha when three letters picked without replacement from hahhhhahhhhhaa.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1119 and 14422791.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 600*x + 12005. Determine o(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.8741 centuries in decades?\nAnswer: 4308.741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 15. Suppose -4*q - 108 = 4*t, -10*t - 42 = -8*t - 4*q. Does 12 divide l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(38\/(-8) + 5) + 128\/64?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(-248)\/(53568\/(-17820))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -17210 = -17205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1650023494578 + -0.16.\nAnswer: 1650023494577.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*-3*(1*(sqrt(176) + -2))**2.\nAnswer: -96*sqrt(11) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 1:55 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1595\/830532?\nAnswer: 1595\/830532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 17*d**2 + 119*d + 728. Determine u(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 39755*u**2 - 28*u - 14992. Let w(l) = -7951*l**2 + 6*l + 2999. Let y(j) = -3*d(j) - 14*w(j). Differentiate y(q) with respect to q.\nAnswer: -15902*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1402255466319.439689 - -1402329714831.84. Let d = j + -74248544. Let x = d + 31.6. What is x rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-3*h + 3*h + 2*h**2) + (-4 + 9 - 4)*(3 - h**2 - 3) as x*h**2 + f + j*h and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-4 + (-20)\/(-6)) + (5 - 19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*f + 30*f - 30*f**2)*(-67*f - 42*f + 180*f) in the form x*f**3 + i*f + w*f**2 + g and give x.\nAnswer: -2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/g**4)*g*g**(-2\/21)*g**(1\/4)*g**(-1)*((g**(-3))**8)**(6\/25) assuming g is positive.\nAnswer: g**(-5471\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + 1 + -5 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - v**2 - v. Let l(o) = -92*o**3 + 5*o**2 + 3*o. Give -l(y) - 5*r(y).\nAnswer: 97*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 10. Let d(t) = 12*t**2 + 67*t - 39. Let f be d(-6). Let g(o) = o**2 + 9*o + 41. Determine f*s(l) + 2*g(l).\nAnswer: 2*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/10)\/((-5 - 306\/(-60))*-4). Let b(t) be the third derivative of 0 + t**3 + 1\/5*t**5 + 5\/8*t**4 + 1\/40*t**6 - 6*t**s + 0*t. Factor b(w).\nAnswer: 3*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -3 - 66*(-55)\/10. Let v = h + -357. Solve 10 = -4*c - v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 11. Let b = 20 - q. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12620 and -5.511.\nAnswer: 69548.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9835?\nAnswer: 5, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -553747 divided by -1?\nAnswer: 553747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 2*g**2 - 2*g**3 + (-9 + 29 - 11)*(-13 - 4*g**3 + 13) to l*g**3 + r*g**2 + u*g + j and give l.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -529*t + 1084*t - 435 = 540*t. Calculate the remainder when 421 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850705?\nAnswer: 5, 170141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aausyubbaahuubb. What is prob of picking 1 s, 1 b, and 2 u?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -c2b?\nAnswer: c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5713598 is divided by 1142716?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j + 15*j - 31*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + w - 4*v = 4, 4*w = -v - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 2\/3*r**3 - 3*r + 0*r**2 + 0*r**4 - 1\/42*r**7 + 0*r**6 + 0 + 0*r**5. Find the second derivative of h(a) wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 579319562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 10*p**2 + 14*p - 14. Let k be i(-8). Solve -5*f = -k*u, 4*f = -0*f + 5*u - 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16, -1\/5, -0.3, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11))**(-28)*(g\/g**(-2\/21))\/g*g*g*g**5 assuming g is positive.\nAnswer: g**(463\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 4:29 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v - 3. Suppose -5*i - 16 = -3*w, v*w - 2*i = 12 + 2. Suppose -3 = -w*n + 13. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91712 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3708, 4, -13, -7, 0 in descending order.\nAnswer: 4, 0, -1, -7, -13, -3708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -6*c**3\/5 + 28*c**2\/5 - 26*c\/5 - 12\/5 = 0?\nAnswer: -1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6 - 2*c + 12*c - 2 - 3*c**2. Let u be l(6). Find the common denominator of 12\/u*(-33 + -1) and -93\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 0 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -3*l + 71. Suppose 0 = s + 5*r - 4, s = -3*s - l*r. Which is bigger: s or 1\/42?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13843 = 5*z - 4472. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f. Let m(k) = k**2 - 16*k + 58. Let s be m(11). Let u = -207 - -209. Put s, f, u, -8 in decreasing order.\nAnswer: s, u, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -5\/24*u**4 + 0 + 0*u - 4\/3*u**3 + 1\/60*u**5 + 4*u**2. Is 8 a factor of h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 331608912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 40240?\nAnswer: 40250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*d + 67, -46 - 26 = -3*d - 2*t. Let f be (-9772)\/(-8) + 1 + (-15)\/30. Calculate the greatest common divisor of d and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.1 + 6.5. Let y = 3.71 + 0.39. Let j = 4 - y. Which is the nearest to -1? (a) j (b) 0.03 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 1, b: 2}. What is prob of sequence yqqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let i = 3783 - 3784. Let n(m) = m**2 + 5*m. Let t be n(-4). Let j(u) = 1. Let c(v) = i*r(v) + t*j(v). Give c(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 25*n. Let b(h) be the first derivative of 2*h**3 - 32*h**2 - 8548. Give b(z(l)).\nAnswer: 3750*l**2 - 1600*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b4b3 (base 14) to base 4.\nAnswer: -100332211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.75418768 to four decimal places.\nAnswer: -3.7542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -u - 3. Let q(d) = 8*d + 56. Let f(b) = 11*b + 78. Let c(s) = 2*f(s) - 3*q(s). Give c(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2 - 6*y + 51. Calculate the remainder when k(5) is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:48 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:41 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203505608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -272579 (base 12) to base 2.\nAnswer: -10011101111110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 + 4*m + 4. Let w be z(-1). What is the tens digit of (-699)\/(-6)*w\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -72 + 72 + 12*n**2. Let i be (-12)\/10*20\/(-6). Let p(w) = -w - i*w + 4*w. Calculate p(u(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3762448520 + -54.\nAnswer: 3762448466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1358\/126 + -11)\/((-4)\/(-3))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, 4, 11 in decreasing order.\nAnswer: 179, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7607 to two dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 + s + 4. Let k be w(-4). Suppose 3*n - 6 = -3*d, -n = -6*n + d + k. Calculate the lowest common multiple of 1 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/20 - f**4\/2 - 2*f**3\/3 + f**2 + 6*f. Give y(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*b - 5. Suppose -j - 2*l + 8 = 0, -j - 4*j = 5*l - 20. Suppose 0 = -j*h - 3*h + 2*q + 9, -h + 5*q + 16 = 0. Put h, -5, 4, b in decreasing order.\nAnswer: 4, h, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -20083.\nAnswer: -2\/20083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 15021231051?\nAnswer: -15021231100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {t: 1, u: 12, x: 7}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 0.1 (c) 5 (d) -3\/7 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**6 - 150164*g**4*m**2 - 77*g**2*m**2 - g**2*m - 2*g**2 - 9*m**2 + 1 wrt g.\nAnswer: -240*g**3 - 3603936*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4 + 5*p**3 + 7*p**2 + 3*p = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 10. Which is the second biggest value? (a) 3\/2 (b) n (c) -1\/3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*p + 2847*p - 680*p + 648*p as z*p + b and give z.\nAnswer: 2989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:05 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q - 11816 + 11270 = 71*q. Let j(s) = 4 + 2 - 4*s - 1. What is j(q)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36960901 is divided by 172.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 20 - -12) + -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 11*t + 23. What are the prime factors of d(10)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4776?\nAnswer: -4776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41, -73, -109, -149, -193, -241?\n\"Answer: -2*y**2 - 26*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 42\/9)\/(146\/(-30) + 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Suppose -5*m + 11 = 3*v, -3*v + 1 = -3*m - v. What is y(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 69*j**2 - 14*j - 88. What is v(-69)?\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -52443444 divided by 6\nAnswer: -8740574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 0.4 (b) -152 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-6) + (-2)\/(-6). Let i(x) = 10*x + 3. Let z(t) = -23*t - 5. Let l(p) = 7*i(p) + 3*z(p). Let r be l(2). Solve -r - 17 = -u*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-63)\/189)\/((-12)\/(-9)). Suppose 4*n + 4*v - 72 = -0*n, 4 = 2*v. Let b be 9\/6*n\/12. Sort b, -0.1, -0.5, r in decreasing order.\nAnswer: b, -0.1, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2157841940 to the nearest 1000000.\nAnswer: 2158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 + 4*p**3 - 651683*p**2 - 651690*p**2 + 1303373*p**2.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u + 3*c + 145 = 0, -4*c = -3*u + 425. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1593, -1595, -1597, -1599, -1601?\nAnswer: -1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -81013246 and 78180.\nAnswer: -80935066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -444*g**6 + 5*g**4 + 82773*g**2.\nAnswer: -53280*g**3 + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 8:24 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0, -6.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-21 + 7 - 13)*(-1 + 2 + 2)*(-2*k - 2*k + k) as m + o*k and give o.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 156, 297, 530, 885, 1392?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3380109598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-357)*((-56)\/(112\/14))\/(-2).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009793904 rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 7 (b) -3 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 219\/4, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*2\/(24\/332) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 72 = t. Let n be (5 - (-354)\/t)\/((-6)\/(-16)). Which is the third smallest value? (a) n (b) -15 (c) 2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*d - 748*d**2 - 732*d**2 + 1341*d**2 wrt d?\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 3:40 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -106*s + 949. Let t be a(9). Sort -1879, 5, 3, t in increasing order.\nAnswer: -1879, t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/3 - 4\/15. Let u = -27 - -27. Is u > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Let l = 78 + -63. Suppose 0 = -l*c - c + 96. Calculate the least common multiple of c and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2940 and 1080.\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 129381 smaller than 129377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = o - 21. Suppose -5*f - 133 = 40*f - 1483. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5\/3 - 10*s**4\/3 + 4*s**3 + 4*s**2\/3 - 14*s\/3 + 2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94\/561 + 265814\/7293. Which is greater: o or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 56*f**2 + 75*f + 1410. Determine q(53).\nAnswer: -3042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-2 - -2))*-1. Suppose 5*x - 2*b = 5 + 5, b = 4*x - 8. Let -2*o**2 - x*o - 2\/3 - 2\/3*o**f = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1858904999 rounded to 3 dps?\nAnswer: -0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 25 = 18*s. Suppose -5*u = -5*g - 255, 0 = g - s + 3. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(8\/(9\/(-9)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8837*c**2*y**3 - 2*c**2*y**2 - 35*c**2*y - 108*c**2 wrt y.\nAnswer: 53022*c**2*y - 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3421*q**3 + 3586*q**2.\nAnswer: -20526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61417343 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -791\/6 (c) -2\/7 (d) 2\/2987\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/36456 and 151\/273420.\nAnswer: 546840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -0.193, 2\/9, -0.21, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256365 is divided by 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27110.\nAnswer: 2, 5, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 894860.\nAnswer: 15212620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:21 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 3 + 0*y**3 - 5\/12*y**4 + 2*y + 24*y**2. Find the first derivative of q(l) wrt l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 8428?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-312)\/(-30) - 2\/5. Suppose -k = -2*j - 2. Suppose j*m + 5*v = 288, -4*m - 3*v + 213 = -m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-153) - (-41)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -7*p**5\/20 - 7*p**4\/12 - p**3\/2 - p**2 + p + 47. Is z(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.437 + -19.663. Let n = r + 20. Which is smaller: 4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:38 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*(v**(-1\/2)*v)\/v*v)\/v*v)*v**(-6)*v)\/(v*v*v*v\/(v*v\/(v**(2\/3)*v)*v)*v)**(-36) assuming v is positive.\nAnswer: v**(253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 941*k - 464*k + 10494 = 0 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - j = 101, 4*j + 46 = -4*s - 58. Let c = 55 - s. Calculate the greatest common divisor of c and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 4:24 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-22\/5)*w*w)\/(w*w**2)*((w\/(w\/(w\/(w**23\/w)*w)))\/w)**26 assuming w is positive.\nAnswer: w**(-2752\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2 + 7*r + 183. Let q(p) = 9*p**2 - 15*p - 358. Give 6*q(d) + 13*y(d).\nAnswer: -11*d**2 + d + 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -5. Let v be (m\/(-2))\/(2\/(-4)). Suppose -l - l + v = 0. Solve -j + l = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -4*q - 96, 1305*q - 1304*q = s - 27 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 12*b**2 - 15*b - 14. Calculate the smallest common multiple of 28 and v(-13).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9584 and 0.05?\nAnswer: 479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/9 - 18274*v.\nAnswer: -2*v*(v + 82233)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, r: 1, n: 2, c: 1, j: 6}. Give prob of sequence nncz.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*i = -11 - 1, -5*m - i + 25 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + p = -146, -4*p = 2846*w - 2848*w - 82 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -30, -70, -126, -198, -286?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - -8583844671904\nAnswer: 8583844671904.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*t - t + 5*d, -14 = -t + d. Let o be (t - -2) + 1 + -2. Find the common denominator of -49\/12 and (-4)\/o*(-725)\/(-220).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(75) + -5 + sqrt(75) + -1)*5 + -5)**2.\nAnswer: -43625 + 17500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 - 2. Let w = -83 + 66.7. Let g = 16.2 + w. Which is the nearest to 2\/3? (a) p (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4531 divided by 187?\nAnswer: 4531\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 479537 and 1533.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.58 + -0.38. Let p = -5 - -5.4. Which is the closest to 3? (a) v (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -485?\nAnswer: 14\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125052743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/((-448)\/15))\/(130\/104))\/((-225)\/(-8)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890299 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422 - 416 = 3*f. Solve 3 = k - f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rukze. What is prob of sequence ek?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + 3.03. Let f = -4.81 + 0.81. Which is the smallest value? (a) 1 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:17 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f + 1, -2*f + 6 = 4*r. Let x = 220541 + -220537. Solve 22 = -3*i + r*v, x*i + 2*v + 1 = -5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c + -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -5 (c) 2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-50)\/18) + (-4)\/(-18). Let x(u) be the first derivative of -3*u**2 + 2 + t*u + 2\/3*u**3. Find y, given that x(y) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - s - 2*s)*(-3 + 4 + 0)*(6 - 3 + 0)*((2*s + 17*s - 2*s)*(-s + 2*s - 3*s) - s**2 + 4*s**2 - s**2).\nAnswer: -192*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 + 309. Let r be (14\/(8 - 15))\/(1\/(-4)). What is the highest common factor of r and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 2:19 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 19\/505, -1, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 - -11?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdpalpwopwdwowlppoww. Give prob of sequence ooa.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 21, -17, 119 in increasing order.\nAnswer: -17, -2, 0, 21, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4*s - 21, -n = -3*s - 31 + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = -2. Suppose -2*n = o*b + 4, 2*b = 2*n + 3*n + 24. Solve -2*u + 0*u + 10 = 4*k, 3*u + b*k - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = 0, -q = 2*j - 3*j + 38. Let l be 6\/q + (-171)\/(-33) + -3. Let i(h) = 3*h**2 - 5*h**2 + 0*h**l. Let w(g) = -13*g. Give i(w(k)).\nAnswer: -338*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17037724 or 221490416\/13?\nAnswer: 221490416\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 13*z - 89. Determine f(-15).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147.881 less than 5590?\nAnswer: 7737.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 8349 + 8467 + 5*v - 2*v**2 + 6*v**3 to the form g + l*v**3 + r*v**2 + n*v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3922 = -8*z - 4050 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/6)*h*h))**(-22)*h**(-9)*h**(-1\/4) assuming h is positive.\nAnswer: h**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 1113.\nAnswer: 17808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*k = k - 21, -q = 5*k + 1. Suppose -3*r + 4 + 1 = c, q*c = -4. Find the second derivative of 0*b + 2*b + r*b**5 + 0*b wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82547 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76392 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 5*b + 5. Let i be j(2). Suppose 0 = i*m - 679 + 232. Is ((m\/(-2))\/((-3)\/6))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 41795 + -22711. Suppose -2*k - 11*k + s = 0. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -27*d. Suppose 6 = -2*s + 5*k, 5*s - 12 = -k - d. What is the least common multiple of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - (-4 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-324)\/2*(-320)\/24. What is u rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, n: 2, d: 1, g: 1, z: 2, w: 6}. What is prob of picking 2 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -1\/2*l**2 + 0*l + 10. Let a(w) be the second derivative of -w**4\/2 - 2*w. Determine r(a(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 + 3.7. Which is the closest to i? (a) -4 (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-14)*(198\/(-12) + -8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 594 - 139. Let s = y - 453. Solve -4*b + 3 = -p + 16, -s*p = 2*b + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13783 and 10024?\nAnswer: 110264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62, -259, -590, -1055?\n\"Answer: -67*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260370)\/(-4997) - 52)*38\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {x: 1, a: 5, g: 2, d: 1, u: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + 0.06. Let s = 177\/5 - 35. Suppose 0 = 4*t, 2*i - 5*i = 2*t + 15. What is the closest to k in i, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*4\/(0 + -20)*2. Let z be -4 - ((-33)\/12 - 1\/w). Let q = -12.6 + 13. Which is the third smallest value? (a) 0 (b) z (c) q (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a**(-11\/4)\/a)\/a*a))\/a)\/a*a*a\/(a\/a**(2\/99))*a*a*a*a**(-2\/11)\/a**(12\/13))**18 assuming a is positive.\nAnswer: a**(29165\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127172571?\nAnswer: 7, 53, 3038201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19169617043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2177, 5553, 10133, 15923, 22929, 31157, 40613, 51303?\n\"Answer: n**3 + 596*n**2 + 1581*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 12 - 0, 3*h + 372 = 5*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346487*j + 173251*j + 173234*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*h + 25, 10*h - 8*h + l - 21 = 0. Calculate the remainder when 325 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.10986317 - -18.11. Round f to 6 dps.\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368914?\nAnswer: 2, 3, 394819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 1\/21*p**7 + 0 + 0*p**2 + 0*p**4 + 0*p**5 + p + 1\/3*p**3 + 0*p**6. What is the second derivative of x(v) wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**5 - 3*g**4 + 20*g**3 + 28*g**2. Let i(z) = -8*z**5 - 24*z**4 + 159*z**3 + 226*z**2. Let h(j) = 6*i(j) - 51*p(j). What is c in h(c) = 0?\nAnswer: -6, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69818 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1428646 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/31))\/x)\/x*x*x**4)\/((x*x*(x\/x**11)\/x)\/(x*x*x\/(x**(1\/4)*x))) assuming x is positive.\nAnswer: x**(1837\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 75\/(-5) + 1 - -4. Is (-16708)\/z - ((-56)\/(-20) - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1079 = 8*p - 2215. Calculate the remainder when p is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/14)\/m*m)\/m*m*m\/(m\/(m\/m**(-23))*m)*m**(2\/9)\/m**(-21) assuming m is positive.\nAnswer: m**(5545\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (3\/2)\/((-3)\/(-2)) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9459 and -0.1?\nAnswer: 945.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 30*x + 300. Let d be h(-10). Let a(y) be the second derivative of 3\/8*y**2 + 5\/24*y**3 + 1\/24*y**4 + 12*y + d. Factor a(u).\nAnswer: (u + 1)*(2*u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 212436356.\nAnswer: 1274618136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 76*p - 73*p - 25994 = 0, -15 = -5*p. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24724333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Differentiate t + 3*z**2 + 7*z**2 + 3*z**2 - 5*z**2 wrt z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, i: 5}. Give prob of picking 4 s.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.909393 micrometers?\nAnswer: 0.000005909393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w. Suppose w = 2*y, 2*n + 4*y - 18 = -0*y. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 66*o**2 + 5*o - 1. Calculate the remainder when c(-2) is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 113, 39482\/9, -5?\nAnswer: 39482\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/4 + 17*t**3\/6 + 3*t**2. Let j(u) = 7*u**2 + 8. Let w(r) = -6*r. Let y be w(1). Calculate y*g(l) + 13*j(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 3. Sort b, 3, -3 in ascending order.\nAnswer: b, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15*(-4)\/6*(-36)\/(-20). Calculate the greatest common divisor of 144 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 9) in base 14?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 701257*u**4 - 16*u**2 + 7*u + 55?\nAnswer: 16830168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*sqrt(475)*-2 + -1*(sqrt(475) - sqrt(475)*-2*-5)**2.\nAnswer: -38473 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 2:37 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/231 + ((-807)\/20496 - 0) and -11\/7.\nAnswer: 6832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*h + 14. Find the first derivative of a - 2*a - 4766 + 4882 - 107*a**h wrt a.\nAnswer: -214*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 7:21 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, u: 3, i: 1, z: 1, p: 2, f: 2}. What is prob of picking 1 z and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/2093*-13 - (-1)\/(-35).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-132274)\/(11\/(-11) + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 5. Let y be p(-4). Let u = 113.6 + -113.5. Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-10))\/(74 - 100491\/1353)*-1\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1198239860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(189)\/(sqrt(3) - sqrt(27)) - sqrt(63))\/(sqrt(27)\/sqrt(3)*3) + -2 + 0.\nAnswer: -2 - sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -58*f + 64. Let b(i) = 4*i - 5. Let d(p) = -92*b(p) - 6*g(p). Calculate d(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 + (2 - 5 + 1)*(2 + 1 - 2) - 3 + 4 + 1)*(-1 + 0 + 2)*(-9 + 9 + 10*m).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -32, -39, -46?\n\"Answer: -7*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a week in hours?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/24225874 and -14\/11.\nAnswer: 266484614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327034563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.5, -0.5, -12, 0.06, 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2313 or -2314?\nAnswer: -2314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -1\/3 (c) 50.8 (d) 17 (e) 17.6 (f) 0.4 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + 6. Suppose -j = -5*c + 9. Let k(o) = o**2 + o + 1. What is the remainder when k(-5) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*z = -23, -l - 132 = 4*z - 150 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 4*f = -33 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + x - 2*x)*(-5 - 9 - 4)*(0 + 0 - 1).\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216791377*v**3 + 260748833*v**2?\nAnswer: -1300748262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 25398963945962 and -10.\nAnswer: 25398963945952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f = 70. Let s = f + -9. Let l(m) be the first derivative of -m**2\/2 - 1. Give l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 - 135 + 135)*(3 + 2 - 6).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.3*-109.\nAnswer: 577.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 4*t**2 + 3*t**2 + (-3*t + 2*t + 0*t)*(0*t + 0*t + 2*t) + 2*t - t**2 - 2*t + 0*t**2 - 5*t**2 + 3*t**2 - 1.\nAnswer: -4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6624558 and 4623?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6690411 divided by 21\nAnswer: 318591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erf when three letters picked without replacement from {f: 1, r: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10224 and 432.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-80))\/(((-150)\/1880)\/3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1698 and -0.9.\nAnswer: -1698.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + sqrt(96))\/sqrt(8) - (2 + sqrt(12))**2) + 3.\nAnswer: -13 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 1, e: 4, t: 2, l: 2}. What is prob of picking 2 l and 1 g?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 13*x + 25. What is l(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1117490 and 223498.\nAnswer: 1117490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*12\/(-112))\/(6\/(-294)*6)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x*x*x)**(-37)*x**(-1\/8)\/(x\/(x*(x*x*(x**(-1\/5)\/x*x)\/x)\/x)))\/((((x\/(x*(x*x*x**(2\/3)\/x)\/x*x))\/x)\/x)**(18\/5))**(-3\/5) assuming x is positive.\nAnswer: x**(-31249\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - v - 1 + (23 - 11 - 11)*(0*v - 4*v + v) - 7*v + 14*v - 14 - 2*v in the form k + p*v and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4033823?\nAnswer: 1747, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, -5, 3, -1 in ascending order.\nAnswer: -19, -5, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53, 189, 333, 479, 621, 753, 869?\n\"Answer: -x**3 + 10*x**2 + 113*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1429953 times -0.44\nAnswer: -629179.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 88*t**2 - 6*t**4 - 640\/3*t + 8\/3*t**3 + 2\/3*t**5 + 128 = 0. Calculate t.\nAnswer: -4, 1, 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27090 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -555320.8 rounded to the nearest one hundred?\nAnswer: -555300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1009*r**4 - 924*r.\nAnswer: -12108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 5. Let w(a) = a - 1. Let g(z) = -2*v(z) - 6*w(z). Let l be g(-3). What is the third derivative of -2*r**5 - 7*r**l + 3*r**5 + 3*r**2 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*i**2 + 1\/4*i - 1\/4*i**3 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*m = -166*m + 1870 + 13180 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 23. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-3 + sqrt(153) + -1)**2.\nAnswer: 24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77927\/2302566 + -52\/2253. What is the common denominator of h and -31\/18?\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1400, 1403, 1408, 1415?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*w - 273, -11*w - 5 = -16*w. Calculate the remainder when s is divided by 6\/3 - 13\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027638 and 1926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 60. Let z(j) = 18*j + 1. Let u be z(-1). Let l be (-18)\/i + u\/5. Is -5 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12510 and 28903104.\nAnswer: 144515520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1010100?\nAnswer: -1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4210 + -5?\nAnswer: -4215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*z + z. Suppose 0 = -i + 2*s + 7, -i + 4 = -z*s - 3. What is the remainder when 12 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z. Let o be (2\/(-4))\/(23\/230). Let r(h) = 6*h. Suppose -5*c + 18 = -3*f, 4 = -2*f + 4*f + 2*c. Determine f*r(s) + o*q(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -17*h**2 - 6*h + 8. Let q(y) = -18*y**2 - 5*y + 6. Let a(c) = -3*j(c) + 4*q(c). Let l(x) = 2*x. What is a(l(f))?\nAnswer: -84*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -541 - 4?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/7 (b) -3 (c) -2\/209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(18)\/((sqrt(42) - sqrt(168)\/sqrt(4))\/sqrt(7) - sqrt(6)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4 + 1\/(-2))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23 from -231835550.\nAnswer: -231835573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7307 and 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 11 = 7. Suppose -14*i + 17*i = -4*a, -2*a - 18 = -3*i. Suppose -3*f - 3*v - 3 = 0, -2*f - 5*v + 2 = -i*f. Sort c, -4, f in increasing order.\nAnswer: c, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374037215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-36)\/8 - -2)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 = -p, 0 = -72*p + 76*p - 6*m + 58. Let v(n) = -n**2 - 19*n + 9. Calculate v(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1 + g + 5 - 4. Suppose -o = o - 6, -1 = 2*i - 5*o. Let r(z) = 4*z**2 + 7. Let j(w) = -w**2 - 2. Let v(a) = i*j(a) + 2*r(a). What is b(v(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -920 - -950. List the prime factors of 6724*((-9)\/(-68) + j\/255).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 93 = v, 1445*v = 1442*v - j + 101 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4110934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 165, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 6*y - 4. Let m be r(4). Suppose m*d + 3*b = 6, 3*b - 7*b = d - 8. Solve v + 4*v + 5 = d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -991216*t**5 + 6*t**2 - 22*t - 565 wrt t?\nAnswer: -59472960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 j, and 2 o when four letters picked without replacement from ojxvvo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -155922, -311846, -467770, -623694, -779618?\n\"Answer: -155924*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-19)\/4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233889233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0040650585 to 5 decimal places.\nAnswer: -0.00407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 1:11 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c**2 - 3*c**2. Suppose k + 2*f = 8, -k + 0*k + 2*f - 8 = 0. Let u(r) = k + 3*r**2 - 4*r**2 + 0. Calculate s(u(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or -732?\nAnswer: -732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 - 393*p**4 - 17028*p**3 - 238128*p**2 + 255552*p = 0. What is p?\nAnswer: -44, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -254, -143, 54, 331, 682?\n\"Answer: -z**3 + 49*z**2 - 29*z - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12198.702 plus 44?\nAnswer: 12242.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*(q\/q**(-4\/3))\/q*q**(-5)*q*q*(q**(-1\/3)*q)\/q*q\/(q*q**(-1\/5)*q) assuming q is positive.\nAnswer: q**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7280 divided by 455\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 17 = -4*m + 3*q, 2*m + 2*q = 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -14. Let b be (-7)\/(-63) - (-8)\/36. Sort b, 0.3, p in increasing order.\nAnswer: 0.3, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3929, 3977, 4107, 4361, 4781, 5409, 6287?\nAnswer: 7457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -351421\/4 + 87856. Let j = 12 + -5. Let k = -3 + j. Which is the second biggest value? (a) 3 (b) k (c) -1\/3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 7*k = -83, 42 - 8 = 4*h - 2*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 126.5 (b) 1 (c) -3 (d) 0.1 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 2. Suppose 0 = -5*a + 3*b + 2, -4*b - 20 = 4*a - b. Let k(o) = -3*o + 2. Calculate a*d(x) + 3*k(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 6 (c) 31 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 7:18 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1 = 5*u, u = 217*k - 222*k + 6. Let l be (1 - (2 + -1))\/(-2). Which is the nearest to l? (a) u (b) -7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 206.999877 - 207. Round p to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212226470*o**3*w**4 - 4*o**3*w**2 + 627*o**3 - 2*o**2*w**2 - o**2 + 597*o wrt w?\nAnswer: -5093435280*o**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1589 and -130.08?\nAnswer: -206697.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1809 - 1808.9. What is the third smallest value in 223, r, 0.5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 219 = 3*i - 509, 0 = 4*i - 5*s - 989. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - (-63 + -13) - (0 + -2 + 38)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or 34?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340412 (base 6) in base 5?\nAnswer: 12400401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 329861296 + -1?\nAnswer: 329861295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 265545370 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(6))**2*-5 + -5.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**4 + 0*q**4 + 2*q**4 + (4*q**2 - 5*q**2 + 3*q**2)*(-1084 + 277*q**2 + 1084) in the form t + i*q**4 + r*q**2 + z*q**3 + f*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let h(y) = y**2 + 7*y - 10. Let u be h(-8). What is the closest to l in -5, -1\/5, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1265010 - -1265011. Let r = -0.34 + -0.06. Let s = -0.3 + -0.7. Sort -3, j, s, r in descending order.\nAnswer: j, r, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18625 (b) -1030 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663\/3 + (-2)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538662 is divided by 265.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 11*p - 1. Let m be ((-1)\/2)\/(3\/(-132)). Suppose 12 = c - m. Solve p*u + 5 = -j, -8 + c = -2*u + 5*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**6\/1260 - d**5\/30 + 7*d**4\/12 + 8*d**3\/3 - 7*d. Let w(m) be the second derivative of v(m). Factor w(j).\nAnswer: 2*(j - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -4 - 13 - 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29370\/(-264) - -113 - (-173)\/4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6) + 2 + sqrt(19) + 2 + -5)**2.\nAnswer: -4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 989214264 to the power of 1\/2, to the nearest integer?\nAnswer: 31452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/22)*r*r)\/(r**30\/r))\/(r**(-32)\/(r\/((r**(-3\/8)\/r)\/r*r))) assuming r is positive.\nAnswer: r**(653\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h**1*h*h)\/h)\/h))**11\/(h**(-10)*h\/(h**(-5\/4)*h*h)) assuming h is positive.\nAnswer: h**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22718 and 12.\nAnswer: 136308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51188a3 (base 11) to base 12.\nAnswer: 304260a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/3)*g))**20*((g**(2\/7)*g)\/g)**(-2\/11) assuming g is positive.\nAnswer: g**(1528\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 3*n - 3*n)*(0*n**2 + 3*n**2 - 4*n**2) - 2*n**5 + 2*n**5 + 2*n**5 + (-16*n**3 - 631*n + 631*n)*(7*n**2 - 3*n**2 - 3*n**2).\nAnswer: -13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) + (sqrt(19) - ((2*(sqrt(19) + 2) + sqrt(19))**2 - sqrt(19)))) + 6*(-2 + (sqrt(19) - sqrt(19)*-2)) + 5.\nAnswer: -1129 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 131907 and -0.1.\nAnswer: -13190.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 > 300822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 + 2*o. Let n = 34 - 38. Let m(d) = 3*d**3 + 3*d**2 + 6*d. Calculate n*m(h) + 11*u(h).\nAnswer: -h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + h**2 + 8)*(0*h**2 + 3*h**2 - h**2 + (2 + 2*h**2 - 2)*(0 + 0 + 1) + 40*h - 40*h - 21*h**2).\nAnswer: -17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**24*d**6*(d**1\/d)\/d assuming d is positive.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -291 and -3.8.\nAnswer: 1105.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1)\/((-3)\/(-6)). Let g(u) = -u + 2. Let a be g(-6). Suppose v + a = d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 2 + 2721*p**2 - 2 - 2683*p**2 as y*p + j + n*p**2 and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 4. Let y be k(3). Let q(n) be the first derivative of n**y + 0 + 0*n**2 - 2 - 3. Let l(w) = w. Determine q(l(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41541 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-56)\/(-378)*-6?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*z**2 - 768*z**2 + 388*z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126337807*b**3 - 9*b**2 + 2*b - 631502 wrt b?\nAnswer: -758026842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(1\/2)\/(((-32)\/(-4))\/136)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -910, 2, -1 in ascending order.\nAnswer: -910, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 12*j**2 - 18*j + 7. Let s be t(13). Let m = -51 - s. Suppose 0 = m*w - 0*w - 357. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4103057 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 165, 705, 1599, 2841, 4425, 6345?\n\"Answer: -b**3 + 183*b**2 - 2*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -3\/17, -2\/9, -12, -5?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 18119766*h**2 - 36239526*h + 18119762.\nAnswer: -2*(h - 9059881)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((-5 - -46) + -28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30003 (base 16) in base 15?\nAnswer: 3d3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-1\/6)*(o**15*o)\/o*(o\/((o*o**(17\/4)\/o)\/o*o))\/(((o\/((o\/(((o*o**27)\/o)\/o))\/o))\/o)\/o) assuming o is positive.\nAnswer: o**(-149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 4235 - 775. Let r = o - 237. Let k = r - 10. Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(2 - 5)\/21. Let q be 16 + -18 + 0 + (1 - 5). Sort f, q, -0.3 in ascending order.\nAnswer: q, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03879 - -0.00121. Which is the nearest to q? (a) 2\/3 (b) 4 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -2 - (10 + -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980 - 1630 - 4882 = -2476*y - 64 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -27. Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56034 by 5.\nAnswer: 56034\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11496, -91928, -310250, -735408, -1436348, -2482016, -3941358, -5883320?\nAnswer: -8376848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -7*x**6\/780 - x**5\/78 + x**4\/78 - 11*x**2. Solve u(k) = 0 for k.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/240 and -103\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 619 - 618. Let n be (-14 - -16) + z*(-3 - -86). Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - 14. Let t = 22 + d. Suppose 2*h + 36 = 4*g - 3*h, -3*h - 4 = 2*g. Which is the closest to t? (a) -4 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3\/4 - 25555*b**2\/2 + 2418720*b - 115545600.\nAnswer: 5*(b - 10030)*(b - 96)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17763\/16 - -1111. Is 1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 2*b**2 + b. Let j be n(-1). Let o = -1\/15 + 19\/60. What is the third smallest value in 3, j, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let b be d - (-2 - 0 - -2). Let m = b + 1. Solve 3*s - 4*s = m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 34*h**4\/7 + 12652*h**3\/7 + 1529040*h**2\/7 + 59401728*h\/7 + 995328 = 0.\nAnswer: -144, -84, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z - 3*z)*(0*z + 4*z - 2*z) - 4*z**2 - z**2 + 2*z**2 + 4*z**2 - 4*z**2 - 2*z**2 + 2*z**2 + z - z.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -140*w + 364 wrt w?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 530 + -490. Calculate the greatest common factor of v and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-2\/77))*q**21)\/(q\/(q*q*q**(4\/3))*(q\/(q\/(q**(-19)*q*q)))\/q) assuming q is positive.\nAnswer: q**(9554\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Let c(h) = -4*h**3 + 5*h + 2*h**m + h**3 + 4*h**2. Let x be c(5). Solve -5*n + 29 - 4 = x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 176 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 4) + (45 - 52) + 32 + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -43, -77, -145, -259?\n\"Answer: -2*k**3 + k**2 - k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 402840 and 1309230?\nAnswer: 5236920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3693 divided by 3?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 1\/60*v**5 + 1\/24*v**4 + 0 + 0*v**3 + 0*v - 8*v**2. Determine f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6*c = 0. Solve -4*a = -c*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + 1*sqrt(18))**2*-2.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(4 + 39\/(-9)). Solve a*s + 1 = 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22763230 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 = -2. Let i(l) = l**3 - 5*l**2 + 5*l - 17. Let b be i(5). Let h be b\/(-29 + 5) + (-16)\/(-39). Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**2 - 20*p - 69. Let y be f(-8). Let x = -63 - y. What is the remainder when x is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4463 + 6794. What is the least common multiple of 666 and k?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851816621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + u - 2*u)*(-u**2 + 2*u**2 + u**2) - 1 + 1187*u**2 - u**3 - 2394*u**2 + 1209*u**2 as m*u**2 + h*u**3 + o + i*u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4545*x - 48 = -4544*x - 8 + 16 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 962856973 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8275.409mm to meters.\nAnswer: 8.275409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 75394 (b) 0.1 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 85 = -6*q. Calculate the smallest common multiple of q and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1619*n*s - 4307*n - 10*s**2 wrt s.\nAnswer: -1619*n - 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, m: 6, d: 4, o: 2}. Give prob of sequence so.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) 2.6 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280027878.\nAnswer: 2, 3, 13, 3590101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**4 - 2*z**4 - 3*z - z)*(-8 + 2 + 7)*(22 - 14 - 82) as y*z + m*z**4 + p*z**2 + h + n*z**3 and give y.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.0119 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from {v: 2, x: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 107 divided by -2\nAnswer: -107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2 - (-240)\/100. Let h = -4.025 + 0.025. Which is the third biggest value? (a) -0.1 (b) h (c) v (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870794 and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4892 = 4*t - 5*v, -14 - 6 = -5*v. Let n = 2107 + t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5 + 1 = -5*z, 3*n + 2 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3. Let a be k(1). Let l be -3*7\/(-7)*(a - -2). Sort -1\/4, -2\/7, l, 2\/15.\nAnswer: -2\/7, -1\/4, 2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 3*g + 2*g)*(-3*g**3 + 5*g**3 - g**3) + g - g - 4928*g**4 + 13485*g**4 to t + a*g**4 + i*g**3 + z*g**2 + l*g and give a.\nAnswer: 8558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -8. Suppose 4*p + i - c = 0, -p - 2*i + 5*i - 4 = 0. Suppose -p*z = -33 - 2. Solve 2*b - z + 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779 is divided by 453.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2106, -4215, -6312, -8391, -10446, -12471?\nAnswer: -14460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(15\/2))**29*(l**(-43))**(8\/3) assuming l is positive.\nAnswer: l**(617\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -147589, -295173, -442757, -590341?\n\"Answer: -147584*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.43 - 0.57. Let s = 3.24 + -2.94. Which is the closest to r? (a) 2\/5 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z + 24 = -3*n, -3*z - 14 = 2*n. Let a = 13 - z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 13*r**2 + 5*r - 2. Let m(z) = 199*z - 6361. Let j be m(32). Calculate c(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.077 - 3.923. What is the third smallest value in i, -5, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(2) + sqrt(4)\/sqrt(2))*-2)**2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2410 + 19279\/8. What is the nearest to -0.7 in t, -45, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14 (b) -2\/17 (c) 0.5 (d) -246128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((528\/120)\/11)\/((-12)\/15)*80\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 20*y - 141. Let o be p(8). Suppose -2*t = -4*g + 52, 3*g + 3*t - o - 29 = 0. What is the remainder when g is divided by 10 - (3\/3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 15*n. Let x(o) be the second derivative of 5\/6*o**3 - 10*o + 0 + 0*o**2. Determine x(z(q)).\nAnswer: 75*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 1318*f\/3 - 421960\/3.\nAnswer: -(f - 770)*(f - 548)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**4\/4 - 29*i**3\/3 - 13*i**2 + 59*i - 150. Let j be v(-28). Solve q - 5*s - 7 = -j*q, 0 = -5*q + s - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33854268 divided by 138747?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -9, 22, 107, 270, 535?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -53, -105, -191, -323, -513?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpgeepmz. What is prob of sequence elp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7675.358um to millimeters.\nAnswer: 7.675358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 692745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77684 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-7)\/((-63)\/27).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -20.15. Let w = 0.28 - v. Sort 5, w, 0.5 in increasing order.\nAnswer: w, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2892 - 1375. Let c = j - -286. Is c 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 1064 and 456?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 16*n - 44. Let h be ((-2)\/n)\/(9\/(-180)) + 0. Suppose 2 = -2*l + 22. Is h at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**2))\/(p*p**(-2\/9)*p)*(((p\/(p\/p**1))\/p)\/p*p*p)**(-27\/2))**(-4))**(23\/5) assuming p is positive.\nAnswer: p**(14306\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-5))\/3*(-21)\/(-42)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - ((17 - 25) + (-1 + -5 - (-10 + -8))).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2 + 262*t + 777 = 0.\nAnswer: -259, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615\/45 - 8\/12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 < 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 677107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-21 - -24 - (-17 - -2)) + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - q + q)*(-3432*q**3 + 2*q - 17*q - 528*q**3 + 15*q) as l*q**3 + f*q + j*q**2 + h + r*q**4 and give r.\nAnswer: -3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/63 in -3, -1\/6, 1\/4, -0.6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*r = 75*r. Solve q + 4*x = -r*q, 5*q + 4*x = 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or -1\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o - 15*o + 3*o + 15*o. Let i(n) = -1062*n. Calculate i(s(m)).\nAnswer: 3186*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/14744 and -85\/76.\nAnswer: 14744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2003333 (base 4) to base 2.\nAnswer: -10000011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-3672)\/16)*-9*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-1160))\/(46\/184)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 130 = -4*i, 0 = u - 4*i - 24 - 18. Differentiate 24 - 4*a**2 + 9*a**2 - u with respect to a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 21, 327, 3, -2 in decreasing order.\nAnswer: 327, 21, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 130 + 35 = 0. Let g = -88 + h. Let z = g - -169. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/2 (b) -4\/7 (c) -38 (d) 302 (e) 9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-354*j**2 + 441*j**2 - 148*j**2 - 366*j**2).\nAnswer: 1281*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbbbbxbbjxxjxbj. Give prob of sequence bx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1346215 (base 7) to base 16.\nAnswer: -2be82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/12 + -5*(-4)\/40. What is the second derivative of -4*r**2 + i*r + 5 + 21*r**2 + 0*r**2 + 6*r**2 + r wrt r?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*r + 25 = 6*r, -c + 5 = 3*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8340)\/695 + (5 - -3 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 23. Suppose -j*z - s = -31, -z = -4*s - 9 - 14. Calculate the remainder when 33 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3.8, 4\/5, -0.4, 1.6?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6530?\nAnswer: 2, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*y, -y = 2*y + 12. Let w = 119.08 - 119. What is the closest to 5 in 1, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 6*g - 6. Suppose -2*t + 1 + 3 = 0. Let b(p) = 82*p - 83. Let d(v) = 15*v - 15. Let f(i) = 2*b(i) - 11*d(i). What is t*n(q) - 14*f(q)?\nAnswer: 2*q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 135*y**2 + 4280*y - 4140.\nAnswer: -5*(y - 18)*(y - 1)*(y + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqdjddm. Give prob of sequence dmj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-2 + 2 + 4)*(-4 + r + 4).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 314500 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*l = 3*d, 3*d + 32 = 2*l. Calculate the remainder when 164 is divided by 2\/d + (-226)\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*z + 10 = 0, 0*z = 2*w - 2*z. Solve -w*h + 22 = d, -2*h + 20 = h + 4*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -744 minus 0.039?\nAnswer: -744.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -483829, -483825, -483821, -483817, -483813?\nAnswer: -483809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/2 + 285*h**2\/2 + 564*h + 562 = 0.\nAnswer: -281, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p + 146 = 20 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 - 2*y - 18. Let l(j) = 2*j**3 - 5*j**2 - 5*j - 35. Let u(g) = -6*l(g) + 11*o(g). What are the prime factors of u(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -202*p + 1659 + 1371 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -45. Which is the second smallest value? (a) 5 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16859, 24793, 38017, 56537, 80359?\nAnswer: 109489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1658.8 - -1659. Let l = -12 - -11.8. Let p = -2 - -4. What is the smallest value in 2\/15, l, p, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155 or 602?\nAnswer: 602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/3 - 2678*z**3\/3 - 2602*z**2\/3 + 98942*z\/3 - 31220 = 0. Calculate z.\nAnswer: -1338, -7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483 - 1407 = -84*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6352*t**3 - 15*t**2 + 27*t + 15. Let h(l) = 1588*l**3 + 4*l**2 - 7*l - 4. Give -15*h(o) - 4*v(o).\nAnswer: 1588*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -1 (c) -0.6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 13*b**3 + 14*b**3 - 6 - 4 - 5*b**2 - 8*b. Let w be t(4). Let g(z) = 2*z + 8. Give g(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5510747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -92 (b) -4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 5)*(-2*t + t - 2*t)*(-3 + 5 - 3) to r + y*t and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -48*u + 744. Determine m(9).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246242 (base 7) to base 5.\nAnswer: -2423104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, q: 4, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25623864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 9*l**2 - 151*l + 57. Calculate d(16).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46039 - 46039.049994. Let h = -0.15 + 0.1. Let j = h - z. What is j rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -173605*h**2 - 2430480*h - 140 = 0. What is h?\nAnswer: -14, -2\/34721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1111101001100100101?\nAnswer: 1111101001100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -0.5 (c) 543 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(2880))*3)**2 + 2.\nAnswer: -2592*sqrt(5) + 77870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1133887 + 1132032 = 35*q for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 3*g + 3. Suppose 5*x = -a + 8, 4*a + 0 = 4*x + 8. Let y be u(a). Let r = -1 + y. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74091?\nAnswer: 3, 24697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 10*u**2 + 0*u**2 + (-6 + 7 - 6)*(0*u**2 - 4*u**2 + 5*u**2) + u**2 - 5*u**2 + 2*u**2 to o*u**2 + q*u + m and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1 - 5) + (0 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6818)\/21)\/1*-6. Suppose 3*l - 8*l + 3236 = -2*g, -2*g + k = 3*l. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 26. Calculate the least common multiple of g and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2037 (base 8) to base 5.\nAnswer: -13210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7159309 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.74 - 32.26. Let m = -32 - d. Let t = 4 - m. Which is the closest to -0.1? (a) t (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -81. Suppose t*j - 9*j + 110 = 0. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 587 - 587.7. Let n = 29\/78 + -1\/26. Which is the third biggest value? (a) -2\/3 (b) n (c) 4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0709 to 3 dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/30 + (272\/(-238))\/((-60)\/21)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1220*w**2. Let h(o) = -1377*o**2 + 725*o**2 + 650*o**2. Calculate h(b(q)).\nAnswer: -2976800*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 21 = -2*a. Suppose c = -d - 5 + a, 21 = -2*d + 3*c. List the prime factors of (-3)\/((-1)\/(2 - d)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -313.1 - -313.2. Let k = -12 - -6. Let j = k + 6.1. Is j greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 j when three letters picked without replacement from {d: 5, j: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 7. Let o be (-1)\/4 - (279\/(-12) + n). Calculate the highest common divisor of 100 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21661036 + -13?\nAnswer: -21661052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/2 - (-27 - -5). Suppose 5*x = 11*x - v. Suppose 73 = x*z + k, -k + 5 = 1. Put -5, z, -1 in descending order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237 - -241. Solve 0 = 6*d - 2*d + v, 5*h + d = -6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58942.\nAnswer: 2, 13, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 775*u**2 - 1325*u - 3. Let r(m) = -2*m**3 + 795*m**2 - 1325*m - 4. Let x(k) = -5*j(k) + 4*r(k). Find the second derivative of x(v) wrt v.\nAnswer: 12*v - 1390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28093, 56076, 83881, 111418, 138597, 165328, 191521?\n\"Answer: -15*j**3 + j**2 + 28085*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 10 = 2*f - 8, -4*c + f = -16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112112101202 (base 3) in base 13?\nAnswer: a0286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**6\/360 + k**5\/30 + 2*k**3\/3 - 15. Let a(j) be the third derivative of o(j). Calculate a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 - (-4 - 4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q + 16. Let i be j(-3). Let f be 902\/9 + i\/63. Round f to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 - 97. Suppose -3*x - 19 = r. What is the common denominator of x and -70\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 137 = 4*n, 2*o + 3*n = 7*o - 43 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 476378312 a multiple of 1615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 2222?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.238 + 0.062. What is the closest to l in -0.1, -5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j - 4*j**2 - 12*j + 3*j**2 + j**2 - 2*j**2 + (2*j - j + j)*(4*j - 3*j - 3*j) + (-j - 5 + 5)*(-31 + 31 - j) to c + m*j + f*j**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2581368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118848 and 683328.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1133 and 111\/26780.\nAnswer: 294580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**3 - 24*a**3 - 8*a**3 + (-2*a**2 - 5*a + 5*a)*(a + 0*a - 2*a) + 2*a**3 + 0*a**3 - a**3 + 7*a**3 - 39*a**2 + 39*a**2.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, l: 4, d: 1, q: 2}. Give prob of picking 1 q and 2 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + (5 - -3 - (9 - 6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30813349\/24 less than 1283889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68290\/73 or 936?\nAnswer: 936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 393416123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -1\/4*w**4 + 0*w + 2*w**2 + 3\/2*w**3 + 0 + 1\/60*w**5. Let o(t) = 0. Calculate t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23274287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66217.\nAnswer: 23, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19584 and 14688?\nAnswer: 58752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 2ba?\nAnswer: -2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 2*f - 3*f - 21. Let i be x(-4). Let o be 14 + 5 - (1 + i). Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53403311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(480\/(-36)))\/((-9)\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-26)\/(-12) + (-34)\/204. Find the third derivative of -41*n**2 + 10*n**b + 15*n**5 - 110*n**2 - 21*n**5 + 4*n**5 wrt n.\nAnswer: -120*n**2 + 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 385 + 4d7?\nAnswer: 87c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -59*s**3 - 80*s**2. Let z(a) = -20*a**3 - 27*a**2. Let k(m) = 3*b(m) - 8*z(m). What is the third derivative of k(d) wrt d?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**6\/540 - y**5\/90 - y**4\/36 + y**3\/3 + 2*y. Let s(a) be the second derivative of q(a). Factor s(g).\nAnswer: -2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z**3 + 45136*z**2 - 53396*z + 8216 = 0. What is z?\nAnswer: -1027, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6818a (base 11) in base 4?\nAnswer: -120012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/5)\/(18\/540). Suppose 52*s = 48*s + u. Solve -2*h = 5*t - s, 3*h = -t + h - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1751 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48726886 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 18\/(-6))*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -98, 230, 776, 1540, 2522?\n\"Answer: 109*f**2 + f - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4950?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -2, -3 in descending order.\nAnswer: 4, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -326*i - 303*i - 47*i + 172*i - 14*i - 40*i + 100*i + 7*i + 2*i + 0*i + 0*i + (0 - 1 + 0)*(-2*i - 3*i + 3*i).\nAnswer: -447*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8*j + 18 = 0. Suppose -4*z = -5*c - 1177, c = j - 0. Find the common denominator of 50\/(-175) + z\/(-182) and -31\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4971655518.\nAnswer: 2, 3, 421, 1968193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 3*k = -24*j + 72, k = 4*j - 91. Solve -11 = j*t - 34 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5*s**2 - 745*q**5*s - 527*q*s + 60*s**2 wrt q?\nAnswer: -40*q**3*s**2 - 14900*q**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 304*c + 206814 = 301*c, 4*x = -4*c + 165432. What is the ten thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758236.\nAnswer: 2, 189559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8*y - 5*s - 70 = 0, 74 = -4*y - 3*s. Let d be ((-15)\/(-84))\/5 - y\/(-70). What is the closest to 26 in 0, 2\/15, d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -32 + -10 + -13 + 14.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1592 by 11344.\nAnswer: 199\/1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iunn when four letters picked without replacement from {r: 4, l: 2, n: 5, j: 1, i: 2, u: 1}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 2*c**2 + 5*c + 1. Let w be i(-3). Is -5 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -142869829.\nAnswer: -142869829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 870136.\nAnswer: 870135.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 402878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -477, -484, -501, -534, -589, -672, -789, -946?\n\"Answer: -d**3 + d**2 - 3*d - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + 5*k + 3*k**3 + (k**2 + 0*k**2 + 0*k**2)*(0*k - 2*k + 0*k) - k**3 - 5*k**3 + 2*k**3 + k**3 - 10*k**3 + 6*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85974 + 257934 + 2*j - 85982 - 85978.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14155540 - -1?\nAnswer: -14155539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3370 + -6445. Let p = m + 1815. Round p to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 89 - 24. Let i(m) = m**3 + 13*m**2 - m - 2. What is the remainder when i(w) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -131244411011?\nAnswer: -131244411003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13516710 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**6\/120 - k**5\/30 - k**4\/24 - 143*k**2. Let u = -9 + 8. Determine b(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2611 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 383214 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2110113, -2110102, -2110089, -2110074?\n\"Answer: l**2 + 8*l - 2110122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 4, e: 1, w: 2, r: 5, v: 1}. What is prob of picking 2 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149630233*j**2*k**2 + j**2*k + 2*j**2 + 14119*j*k - j - 2*k + 3 wrt k.\nAnswer: 299260466*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = 5*u + 24, 2*a = -u - 7. What is the third biggest value in -1\/5, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11566 + 11746. Which is the second biggest value? (a) 18 (b) o (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000303436584 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 8, 15?\n\"Answer: 7*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 - 15 = -11*r - 45 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.7, -2\/2447, 1\/6 in ascending order.\nAnswer: -0.5, -2\/2447, 1\/6, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 16) to base 12.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -1 + (-4 - -4) + -2 + 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48328, -90976, -133628, -176284?\nAnswer: -218944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w)*(-747*w + 2161*w - 2941*w).\nAnswer: 1527*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77663\/51 - -1522. Let a = -24242\/9 + 2698. What is the common denominator of a and s?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*r**2 - 22 + 10 - 31*r**2 + 12.\nAnswer: -291*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131.14 - 138.8. Let u = -17.66 - z. Let f be (-2)\/(-30) - (-4)\/(-6). Which is bigger: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1415260 and 1415260.\nAnswer: 1415260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*u - 5 = v, -39 = -5*v - u. Solve -3*m + 3 = 2*o - 2, -5*m + v = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = -4*p + 126, 0 = -3*b - p + 132. Suppose -b = -g - 3*g. What is the remainder when g is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2144 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 1364, 4764, 11392, 22322, 38628, 61384?\nAnswer: 91664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166967374 at most as big as 166967374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - sqrt(448)*-2) + sqrt(448) + 3 + 0.\nAnswer: 3 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1281282 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -508*n**4 + 14*n**2*t + t - 22369 wrt n.\nAnswer: -2032*n**3 + 28*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*z - 6 - 21, -124 = -6*t + z for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**2\/2 + 8*z + 1. Let g be t(-7). Sort g, -2, 3 in decreasing order.\nAnswer: 3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m. Let y(r) = 44*r. What is y(i(b))?\nAnswer: -396*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 285303805 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 26 = 3*y, y + i = -6 - 3. Which is smaller: y or -45\/4?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90847680 divided by -40557?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 28*z**3 + 35*z**2 + 4*z. Calculate b(-2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*t + 4*h - 1, t + h = 3. Let a be (136\/12)\/(t\/(-3)). Let d = a + 20. Solve 5*c + 8 = -z, z + d*c = 3*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*((sqrt(931) + -1*sqrt(931) + -5)**2*-5 - (-2*(sqrt(931) - sqrt(931)*2)**2 - (1 + -2*sqrt(931))**2)).\nAnswer: -21850 + 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3364091.\nAnswer: 41, 82051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.249609 milligrams?\nAnswer: 2249609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 344849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*r = -201 + 95 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + -11 - (2 - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018376323 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41675617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 59?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -61. Solve -4*c = -i - 21, -4*i - b*c = -c - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14683 - 862 = -17*v. Let k = -434 - v. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 3*h**2 + 5*h - 3. Let p(d) = -d**2 + 13*d - 16. Let x be p(11). Suppose x = 6*v - 4*v. Is s(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(225)\/sqrt(405))\/(sqrt(81)*2 + ((sqrt(864) - sqrt(54))\/sqrt(6) - sqrt(9)))*-4.\nAnswer: -5*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2 - 11*s + 5. Let z be q(-3). Suppose -23 + 63 = 5*o. Suppose o + 10 = 9*c. What is the highest common factor of z and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -45 (b) -1.3 (c) 0.03 (d) 7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 9\/3 - 7. Let p be (1\/3)\/(1\/q). Let t be (-76)\/(-4) + (-1 - p). Solve -2*o + 7*o = t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -16*s**3 - 5*s - 5. Let g(f) = 104*f**3 + 32*f + 32. What is 32*c(b) + 5*g(b)?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 15*x + 60 = 0. Let z = 30 + x. Suppose z = -8*g + 67 - 19. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = -15. Let i(m) be the third derivative of m**6\/120 + m**5\/15 + m**4\/8 - m**3\/6 + 7*m**2. Calculate i(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263900 divided by -350.\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, q: 1, d: 3}. What is prob of sequence hd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4) + 3\/(-20). Let v be ((-8)\/(-10))\/(13\/(-910)). Let z = -225\/4 - v. Sort 3, s, z in increasing order.\nAnswer: z, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12095496?\nAnswer: 2, 3, 7, 103, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -579912 divided by -289956?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-5)\/(-37)) + 14484\/(-54315).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -662947*h**3*u - 127440*h**3 + 10*h**2*x + u*x - 7*x wrt u.\nAnswer: -662947*h**3 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 minus 6.008886?\nAnswer: -320.008886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - b**2 + 4*b. Let p be d(-3). Let w(m) = 4*m + 102. Let y be w(-25). Suppose -v + y = -5*k, 4*v + 5*k + 16 = 7*v. Solve n - v = -p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/2 + 5)*-1. Let z = 5 + h. Let u = 1 + z. Put u, 2, 5 in decreasing order.\nAnswer: 5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 9*q - 9)*((-3 - 2 + 7)*(0 + 4 - 2)*(0 + 3 - 10) + 2 + 0 + 1 - 2 + 2 - 3).\nAnswer: -252*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*s + 3*s - 80, 64 = 4*s - z. Suppose -10*f + s = -6*f. Solve f*a + 15 = -r, a + r + 10 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64738406 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2218 by 115.\nAnswer: 2218\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80337183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {y: 1, n: 1, a: 1, d: 1, r: 2, m: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1166625 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 938915.13 rounded to the nearest one hundred?\nAnswer: 938900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 5, -33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 117, 138, 163, 192, 225, 262?\n\"Answer: 2*u**2 + 15*u + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*i**2 + 127 - 126 - 14539*i - 654*i**2.\nAnswer: i**2 - 14539*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**2\/2 + 62*c - 13. List the prime factors of m(19).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -2.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 68. Let f(y) = y**2. Calculate f(i(o)).\nAnswer: 9*o**2 - 408*o + 4624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28 and -15381.\nAnswer: -15353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 11. Let g(q) = -13*q**3 - q**2 + 2*q - 1. Let b be g(1). Let k be x(b). Find the third derivative of 3*v**4 - 8*v**2 - k*v**4 + 4*v**2 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/27*-3)\/(44\/12).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 + 3*c - 2*c**3 + 0 to s*c**2 + j*c + t + y*c**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 237, 860, 1899, 3354, 5225, 7512, 10215?\n\"Answer: 208*b**2 - b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 3 - 3)*(l**2 + 6*l**2 - 2*l**2 + (-7 + 235 + 69)*(-1 + 1 - 2)*(-2*l + l**2 + 2*l)) in the form j*l**3 + r + u*l**2 + m*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 331*r - 54*r - 1318323 = 3263257. List the prime factors of r.\nAnswer: 2, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 + -11 - (-1 - -2*10)) + -1. Let i(s) = 23*s**3 + 49*s**2 - 17*s - 17. Let h(r) = -8*r**3 - 16*r**2 + 6*r + 6. What is o*h(x) - 6*i(x)?\nAnswer: -2*x**3 - 22*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 225\/396 - (-6)\/(-8). Which is the smallest value? (a) -0.5 (b) p (c) -3 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302002032310 (base 4) to base 3\nAnswer: 220200101020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvz when three letters picked without replacement from zjzcv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x + 2. Let w be 21\/(-28)*1*4. Let f be w\/(-2) - (-6)\/12. Calculate a(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1020 and 340?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, j: 9, q: 1}. Give prob of picking 2 j.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 1483, 3474, 6261, 9844?\nAnswer: 14223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 5) to base 7\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 7*n - 2*n + (-9 + 4*n + 9)*(2 - 3 + 2) + (-4*n + 2*n + 3*n)*(2 - 3 + 0) - n + 5 - 5 in the form m + t*n and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*q + 126 = 101*q. Is q at most as big as -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s**3 + 50*s**2 - 25*s + 25. Let k be g(5). Solve 5*a + w = 0, -29*w = a - k*w - 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108641 or -108642?\nAnswer: -108641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22356164 (base 8) in base 5?\nAnswer: -2214344224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 675\/700 + -1 - (-19458)\/28952.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/225*0)\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -121*t - 109. Let u be r(-1). Solve -11*d = -3*b - 14*d - 12, 0 = -5*b + 3*d - u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 32 = 4*w, -5*o + 62 = 5*w + 12. Suppose -6 = o*n - 12*n. What is the smallest common multiple of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186960 is divided by 6155.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 237.58116 hours?\nAnswer: 9.899215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.5 - 7.06. Let o = 1.7 + r. Let j = o - -0.06. Which is the third biggest value? (a) 2\/5 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 6. Let u(i) = -214*i. What is k(u(t))?\nAnswer: 428*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/225*(180\/(-528) + 0)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*-2*sqrt(5)*-4)**2.\nAnswer: 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 19*u**2 + 38*u - 40. Calculate x(-17).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 41*s**2 + 29861*s + 9459. Give p(-728).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1095034359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - x - 1030000. Let j be 0*((-5)\/2 + 3). Suppose j = -d - 4*d. Let q be s(d). Round q to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 + -70127.6.\nAnswer: -70193.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t + 5. Let c be m(0). Suppose -a = 2*k - c*a + 56, 3*a = k + 29. Let f = -57 + 32. Do k and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -74, -158, -276, -428?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6013567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*6\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -101686, -203349, -305012?\n\"Answer: -101663*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/8)\/((-5)\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1520, -1519, -1518, -1517, -1516, -1515?\n\"Answer: y - 1521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20480630.\nAnswer: 2, 5, 2048063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*i = -321*i + 160*i - 130 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -777, -4, 0.2 in descending order.\nAnswer: 0.2, -4, -777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 126*d - 17. Let h(g) = 32*g - 4. Give -2*b(a) + 9*h(a).\nAnswer: -2*a**2 + 36*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 4*f + 0*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 29 - 77 = 0. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-33 - (5 - 10 - (-5 + -3) - -5)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/4? (a) -7\/6 (b) 12 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29687*n**2*p**3*w**2 - 26*n**2*p**3*w + 13*n**2*p*w**2 + 15*n*p**3*w + 5*n*p**3 - 5*p**2*w - 5 wrt w.\nAnswer: 59374*n**2*p**3 + 26*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6*(113\/(-7) + -36 + 59)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 12*s**5\/7 + 139726*s**4\/7 + 3184376*s**3\/7 + 368558*s**2 + 511324*s\/7 = 0.\nAnswer: -11621, -22, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4048 and 635438848.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*sqrt(11) + -1.\nAnswer: -4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 6:19 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 20082*g**2\/7 - 9696528*g - 114927568672.\nAnswer: 2*(g - 6143)*(g + 8092)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8. Let t be ((-8)\/(-5))\/(1\/5). Let k(b) = 3 + 2*b**2 + b - 3*b**2 - t. Determine k(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*q**3 + 53*q**3 + 134*q**3)*((10*q - 9*q + 11*q)*(-6 + 8 + 5) + (-4 + 4 - 2*q)*(-4 + 0 + 5)).\nAnswer: 8200*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9437? (a) 1\/4 (b) -97 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3 + 2477678*c**2 + 1534717112553*c - 6138908093124 = 0.\nAnswer: -1238841, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496\/2083 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(156)\/sqrt(4)*1)\/(sqrt(30)\/(sqrt(10) - 4*sqrt(490))).\nAnswer: 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 544*i**2 + 10403*i + 1273. Determine l(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:10 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + -1182 + 1169?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h - 510. What is t(-42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 690.3846 litres?\nAnswer: 690384.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 19*a**2 - 20*a - 3. Let p(b) = -286*b**2 + 308*b + 44. Determine 3*p(t) + 44*r(t).\nAnswer: -22*t**2 + 44*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -6010, 3 in decreasing order.\nAnswer: 3, -16, -6010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1098, -2, -12, -1, 3 in ascending order.\nAnswer: -1098, -12, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1225301518.2 to the nearest one million.\nAnswer: -1225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + -5 - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2330490.\nAnswer: 2, 3, 5, 131, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*(-5)\/(-4)*10\/25. Suppose 3*a - 2*d + 2 = 8, 8 = 4*a - x*d. Suppose -a*w + 5*i + 482 = 0, 0*w - 4*w - 5*i = -904. What are the prime factors of w?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57199, -57199, -57207, -57229, -57271, -57339, -57439?\n\"Answer: -a**3 + 2*a**2 + a - 57201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1043457486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14655656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 0 - -2*2. Let j(y) be the first derivative of -3*y**2\/2 + 4*y + 1. Let r be j(3). Put x, 4, r in descending order.\nAnswer: 4, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7909 and 10139.\nAnswer: 80189351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4365, 0.1, 0, 1\/2 in increasing order.\nAnswer: -4365, -2\/7, 0, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 29 = 843. Solve 14*p - 116 = -z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/28)\/(62\/(-217))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -3. Suppose -2 = h - d. Solve 0 = -n - 2*n - h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/437, 0.0694, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 86*h**2 - 8*h**3 - 1 + 40*h**2.\nAnswer: -8*h**3 + 126*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23b - -4?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 3\/7 (c) -3 (d) 315.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 8*h**2 + 9*h + 1. Let m be o(-9). Suppose -4*w - m = -25. What is the tens digit of ((-134)\/4)\/(3 + (-21)\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w - 7. What is i(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 8 (c) -3\/74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 24696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 3*d)*(-d + 4*d + 7*d)*(-d**2 + d**3 - d**2 + 0*d**2).\nAnswer: 20*d**5 - 40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -16. Let z(y) be the third derivative of 0*y + 0 + 1\/60*y**6 - 1\/12*y**4 + 0*y**5 + 0*y**u - 2*y**2. What is the second derivative of z(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102.5209 - -0.275158.\nAnswer: -102.245742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-10)\/5)\/((-42)\/(-1323)*-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -19744*-4*(-4)\/(-16). Let z(a) = -5*a**2 + 3 + 4*a**2 - 19755*a + b*a. Determine z(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 - 2*r - r**2 - 2*r**3 - r**2 + 0*r**2 to the form m*r + p + w*r**2 + f*r**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010011101001100 (base 2) in base 15?\nAnswer: 892e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 1, c: 8, o: 2, l: 1, a: 1}. What is prob of picking 1 o, 1 j, 1 c, and 1 l?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/9*25\/(-20)*-51. Suppose -k*r + 334*r = -2628. What are the prime factors of r?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136\/7 + 638\/35. What is the closest to 0 in s, -1\/16, -5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10998 - 2?\nAnswer: 10996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 825642, 825643, 825644, 825645?\n\"Answer: i + 825641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-15)\/18))\/((-134)\/5025)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 77464*v + 5272176.\nAnswer: -(v - 68)*(v + 77532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 377 + -13. What is the highest common divisor of n and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224272 + -1790879\/8. Let l = q + -411. Calculate the common denominator of 3 - (4 + 176\/(-12)) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22 - 1217*o**4 + 8168*o**2 - 8168*o**2 wrt o?\nAnswer: -4868*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 + 3086*w + 123923. Calculate k(-729).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*k**5 + 16\/5*k**4 - 12\/5*k**3 + 0 + 0*k + 0*k**2.\nAnswer: -4*k**3*(k - 3)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174280 by -6.\nAnswer: 87140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.5 (b) -119 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n = -13*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(2754))\/(-6*(sqrt(32)*3 + sqrt(32) - sqrt(2))).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 476944997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4030*x - 36 = -4036*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by -29\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 138.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7420 and 1820?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/9 + 1252*x**3\/3 - 587814*x**2 + 271*x + 2. Factor g(s).\nAnswer: -4*(s - 939)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v + 58 = -42*v + 134 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/f**6*(f**(2\/3)\/f)**(-2\/49))\/((f**(2\/5))**(-11)\/(f*f*f*f**(1\/2)*f*f)**(-6)) assuming f is positive.\nAnswer: f**(-5143\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1169 and 54275?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 p when four letters picked without replacement from xxwpwpxp.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 + 3 - 6) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 519.2 - 519.7. What is the nearest to 0.01 in -4\/9, 0.3, o, 20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1425 = -9*y + 4*y. Suppose 4*p + 65 = y. What is the greatest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, -98 in ascending order.\nAnswer: -98, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103200 + -11?\nAnswer: -103211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:09 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 7*h + 25. Determine t(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(10\/(-2) - ((-31)\/14 + -3))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:49 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-76 + 72)*(1 + -172)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 32654 = -4*r, -7*r + 9*r - 16329 = -3*d. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(832)*-1 - sqrt(832) - sqrt(832)) + -4*(1*sqrt(832) - sqrt(832)) + -1 + -5 + -2)**2.\nAnswer: 576*sqrt(13) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1, -7, -3, 1, 2 in descending order.\nAnswer: 26, 2, 1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259365*x**4 + 1774221 with respect to x.\nAnswer: -1037460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 0. Suppose 0 = a + 2*a - 39. What is the remainder when a is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*o - 20 = 2*o, -4*u + 10 = -2*o. Suppose -2*m + u*m = -32. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2491 = 7*u - 834. Let t = 90 + u. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16*r. Let m(s) = -2*s**2 - 7*s - 7. Let p(z) = -z**2 - 5*z - 5. Let n(k) = 5*m(k) - 7*p(k). Determine n(l(x)).\nAnswer: -768*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6451 a factor of 423482108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 64.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72\/85 + -661\/680. Let i = 1.23 - 30.23. Sort 1\/2, r, i in increasing order.\nAnswer: i, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23658959.\nAnswer: 89, 265831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13608 = 268*z - 4915 + 6315 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -55, 14, 0.4, 0.2, 5, -0.11 in ascending order.\nAnswer: -55, -0.11, 0.2, 0.4, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1641441*p*x - 922597*p wrt x?\nAnswer: -1641441*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*1.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 8:52 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l - 50 - 61 = 0. Solve 2*x - 2*z = -2, 0 = -2*x - 0*x + l*z + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*k + 64, 0*k = -2*k. Calculate the smallest common multiple of l and 98.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 3:03 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, v: 2, q: 2, i: 2}. Give prob of sequence xxq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/(-56))\/((-4)\/14). Suppose -k = r*q - 10, 2*k - 3*k = q - 5. Suppose -q*m + 2583 = 4*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/135)\/((-20)\/(-15)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 41 = 3*z - 18*x + 44, -3*z + 20 = -5*x for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 6. Let c be 1 + (1 - (-4)\/n). Factor -2\/3*v - 2\/9*v**3 - 2\/9 - c*v**2.\nAnswer: -2*(v + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 13) + 2 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 871988051, -1 in decreasing order.\nAnswer: 871988051, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**3\/7 + 5664*i**2\/7 + 374748*i\/7 + 901680 = 0.\nAnswer: -1820, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**5 + 11*t**4 + 6*t**3 - 4*t**2 - 9*t - 1. Let g(c) = c**5 + c**4 + c**2 + 1. Let a be 175\/(-75) - (-1)\/3. Let v(m) = a*g(m) + q(m). Factor v(j).\nAnswer: 3*(j - 1)*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2517 divided by 1347\nAnswer: -839\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 51*o**2 - 52*o - 96. Let q be j(-50). Solve -5*r - 16 - 10 = q*z, -4*z = 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.9 in -2\/3, 4\/3, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 17*g - 110. Calculate b(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 + 99 = -2*l + 5*j, 0 = -2*l - 5*j - 39 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 190.11 * -1\nAnswer: -190.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*y - 33*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123445*p**4 - p**2 + 3577*p?\nAnswer: -2962680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - c + 3*c)*(152 - 22 - 49) to s + i*c and give i.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 675599 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9743 - 9002. What is the smallest common multiple of h and 143?\nAnswer: 8151","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31350 and 687060.\nAnswer: 65270700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 33.4, 0.2, -833, 5 in decreasing order.\nAnswer: 33.4, 5, 0.2, -833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 323.731953 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77504, -77796, -78088, -78380, -78672, -78964?\nAnswer: -79256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -118, -261, -546, -1021, -1734, -2733, -4066?\nAnswer: -5781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/4 + (-80)\/(-45)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15744 + -11209. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2 (c) -3 (d) 1\/4 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16302 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*b + 3 = -1, 2*o + 10 = 5*b. Suppose n - 2*m - 24 = o, n = -0*n - 5*m + 45. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.21404ml to litres.\nAnswer: 0.08621404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 796430 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/21*6\/(-4). Let p be ((-1)\/v)\/(16\/(-512)). Let q be (-160 - 5)*p\/3*4. What is q rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7735694 is divided by 2686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 8*q + 6. Let r be o(-9). Let y be 1\/(0 - (-1)\/r). Let s(f) = -f**2 - f. Calculate s(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2 - 2 - c. Let h be b(-2). Suppose -h*q = 3*q. Solve -n + z = q, 2*z - 15 = 2*n + 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, -0.15, 5, 2 in descending order.\nAnswer: 26, 5, 2, 0, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 19*d**2 + 4. Suppose 136*j - 7309 = 543*j + 424. Give b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 9*h - 4. Suppose -4*q - 4 = -12. Suppose 5*r = -2*f + 30, q*f - 3*r + 2 = -0. Calculate the remainder when m(f) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*g + 215*g**2 - g + 170*g**2 - 251*g**2 - 3*g to the form b + c*g**2 + u*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 716229.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -202*y + 10. Let x be q(7). Let i be 16\/20 - x\/(-1780). Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - -7 - 13) - 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 234005*i**2 - 243518*i**2 + 2 - 1 in the form o + v*i**2 + g*i and give v.\nAnswer: -9513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0239939689 + -517.\nAnswer: -516.9760060311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f = 0. Suppose -3*t - 5*i = -28, 4*t - 2*i = -f*i + 46. What is the greatest common divisor of 44 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144537*13\nAnswer: 1878981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+35829274\nAnswer: 35829273.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-44) - 1850\/(-11). Suppose 4*r = -l - 112. Let c be (r\/(-12))\/(-7) + 1. Is c < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*y + 15, -2*y + 5 = -6*y - d. What is the closest to -1\/5 in y, 2\/9, -5, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013589 rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Let a = z - 2. What is the third biggest value in -1\/8, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1808705 is divided by 467?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/13)\/h)\/(h**(2\/11)\/h*h))**(-3\/17) assuming h is positive.\nAnswer: h**(441\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2779, -2774, -2769?\nAnswer: -2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(1 - (-5)\/5). What is the greatest common divisor of w and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 81864943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 2\/9, -5, -2\/3, -265 in increasing order.\nAnswer: -265, -5, -2\/3, -0.05, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Suppose -2*f - f = -5*s + g, 5*f = 2*s - 2. Solve -2*p + q + 4*q - 21 = f, 2*q = -3*p + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(84)\/(sqrt(144)\/(sqrt(48)\/sqrt(4)))*6 - ((sqrt(140)\/sqrt(4)*-1 + sqrt(35))\/(sqrt(5) + (sqrt(50)\/(sqrt(40)\/sqrt(4)) - sqrt(5))))**2).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -76301*b**3 - 6*b**2 - 4*b + 1. Let l be (26 - 27)*(2 - 1 - 0). Let m be f(l). What is m rounded to the nearest 1000?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6. Let n be (q - (-96)\/(-10))*-5. Calculate the greatest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(3 + 1 - 3)*(-4*o + 0*o - o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20) - (-7056)\/2940?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 7431 - 20*i + 0*i - 16*i + 7429 - 13*i.\nAnswer: -49*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -5*d**8\/42 - 13*d**7\/14 + 5*d**6\/24 + 1297*d**2. Factor k(u).\nAnswer: -5*u**3*(u + 5)*(8*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*s = 120, -2*c + 4*s - 60 = -4*c. Calculate the greatest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -36. Let w = 14 + k. Let m = 2\/19 + -67\/95. Which is the second smallest value? (a) m (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -74) + -25 + -19.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - z**2 - z**2 + (-5 + 5 - 1)*(4*z**2 - 4*z**2 + 2*z**2) - 21*z + 21*z + 21*z**2 to the form w*z + y*z**2 + r and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 18*w**2 - 18*w - 17. Determine a(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*c - 1, c + 0 = -4*j + 9. Solve 4 + c = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.2494\nAnswer: -1.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5212 is divided by 536?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*b + 52, -b - 16 = -0*a - a. Let s = -12 - b. Calculate the lowest common multiple of 9 and (s - (1 + -3))*1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) - 8\/(-20). Which is greater: -1\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.46 (b) 29.1 (c) 1\/12 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 10809963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u + 197 + 488 = -743 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023784347?\nAnswer: 3, 341261449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 8:02 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 13*o - 10. Let p be d(-12). Let i be 114\/42 - (p + 64\/(-28)). Solve i*h = -2*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9028796 rounded to one decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 34. Let m be v(-15). Let t(s) = -342*s - 101*s + 59*s - 698*s + 29. Is t(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z**2 - 3*z**2 + 13*z**2 + 1. Let s be f(-2). Let x be s\/(-6)*2\/(-3). Which is smaller: -1\/4 or x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 40, -11 in descending order.\nAnswer: 40, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 + -8)\/(-2 - -1). Let n(r) = r**3 + 4*r**2 - 7*r - 4. Let d be n(u). Is d\/(-9) - (11740\/12)\/(-5) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -321 + 4817\/15. Let f = -0.4 - 0.6. Put b, 5, f in descending order.\nAnswer: 5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -z - 37766, 4*z + g + 2*g + 151110 = 0. Let o be (3\/(-6))\/(3 + 113324\/z). Is (-8)\/(-12)*o\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + u + 6 = 0, 3*h + 5*u + 19 = 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71*j**2 + 13*j**5 - 71*j**2 + (j - j - 2*j**3)*(7*j**2 - 2*j**2 - 3*j**2).\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 37. Let m be 20\/9 + s\/27. Suppose 83 = 2*j - 3*c, -6*j + 211 = -m*j + 3*c. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 70.\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times -0.0703?\nAnswer: 2.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 - 519 = 93048*z - 93070*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 5, 1, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dssssddsdlsls. What is prob of picking 2 l?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.123 (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*v = -72, -v - 63 = -5*i - 243. Let u be (-20)\/6*i\/5. Suppose 103*p = 95*p + 480. What is the greatest common divisor of p and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 + 2045?\nAnswer: 2045.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3953617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 51.3 + 49321.849\nAnswer: 49373.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**3 + 2*p**2 + 5*p + 2. Let b(a) = -6*a**3 + a**2 + 5*a + 2. Let r(l) = 5*b(l) - 4*g(l). Calculate r(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*g + 7*g + 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0*n**2 + 0*n**5 + 2\/5*n**6 + 34*n + 1\/3*n**4 - 59\/3*n**3 + 3. What is the second derivative of w(x) wrt x?\nAnswer: 144*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1263 and -29.\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8124864*q - 1876084.\nAnswer: 8124864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n + 5*b - 311, 4*n - 3*b + 1193 = 0. Let k be -18*(n\/72 - -4). What is p in -128\/3 + 2\/3*p**3 + 160\/3*p - 34\/3*p**k = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.6, -0.263871, -1\/4?\nAnswer: -0.263871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d - 3*d - 2*d - 12*d**4 - 3*d wrt d.\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 60 = x + 9, -2*x - 3*m = -112. Calculate the remainder when x is divided by 17 + (-2 - -2 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272001 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 316 - 310. What is the remainder when n is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3041.2 + -3204.93. Let t = -162 - z. What is t rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21766203?\nAnswer: 3, 41, 61, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/1023 (b) -1\/16 (c) -0.4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 240*y**5 - 74*y. Let x(i) = 121*i**5 - 37*i. Let o(g) = 6*m(g) - 11*x(g). What is the second derivative of o(j) wrt j?\nAnswer: 2180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1089214810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30*2)\/(-5))\/(171\/(-114))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -11.000515. What is d rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/12)\/(-4 - 68\/(-16)). Let k be 11\/(-9) - (-3)\/((-81)\/(-6)). Is k at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -389*n*v**3 + 38*n - 2 wrt v?\nAnswer: -1167*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 357\/(-28) + 12 - (-1291)\/4. Let u = -3217\/10 + w. What is the biggest value in 3, u, -0.17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 4, s: 3, b: 1, r: 2, w: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 3\/2*x**2 + 4*x + 4. What is the tens digit of l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2950 divide 36491500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.234 in 2, -79, 3, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556694 to the power of 1\/2, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8.0076 (b) -0.3 (c) -15 (d) -3 (e) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -44, -88, -148, -224, -316?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*a**6 + 8*a**4 + 23*a**6 - 1149*a**2 - 17*a**6 + 2*a - 3*a + 3*a wrt a.\nAnswer: 8280*a**3 + 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -199697\/5 + 39940. What is the second biggest value in -0.0031, 0.1, -3, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-13)*3\/(-14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(100)\/sqrt(5) - sqrt(25)\/(sqrt(10)\/sqrt(2) + sqrt(5) - sqrt(5))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 7:02 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 23*p**2 - 10*p - 4. Let f be y(12). Suppose -5*s = 5*m + f, 4*m + 37 = -0*m + 3*s. Which is bigger: -4 or m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 17*u + 298. Let w be a(0). Let c = 638 - w. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2459 - 131*y + 2459 as n*y + l and give n.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/165)\/(2\/44)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*g + 27 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 741973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22257 = -175*j - 27682 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*y - 2*y**2 + 248*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1904, -2\/21, -2, -5, -1, 0.4, 3\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2505648 to the power of 1\/2, to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24472 divided by -38?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**3 - 1 - 3*b + 5 - 4. Let p(u) = 20*u**3 - 21*u + 10*u**3 + 6*u**3. Let v(m) = -2*p(m) + 15*r(m). Factor v(l).\nAnswer: 3*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/889 and 79\/8400.\nAnswer: 1066800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 24. Let q(b) be the third derivative of -b**4\/12 - 2*b**3\/3 + 15*b**2. What is the remainder when r is divided by q(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 616057584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1903.7 (b) 2\/5 (c) 4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1385228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 2*y**2 + 1. What is p(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5435100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/90 and (-27)\/(-9) + (-81)\/2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - (-8 + 4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -792.33, 0, 3\/2?\nAnswer: -792.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 12) to base 7.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + p + 2*p = 360, 5*q - p - 594 = 0. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -633760200 by 54.\nAnswer: -11736300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veevovvvveveevtvee. What is prob of sequence ee?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 2\/9, -2\/3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 82528*j - 2711. Is b(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(-222)*(-128)\/(-96)*1\/2\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4\/8 - 441*x**3\/8 - 4743*x**2\/4 + 130161*x\/2 - 183051 = 0.\nAnswer: -86, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1482*j**2*p - 2*j*p - 46*p + 4 wrt j?\nAnswer: -2964*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + 53 + -29)*-38.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -23*j + 2. Calculate q(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 867824910 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*1892.\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 greater than or equal to -1806\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1521056 divided by -4\nAnswer: 380264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-5))\/(70\/(-2225)) + -1 + (-36)\/(-42).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.06 - -7. Let j = -1.0148 - f. What is j rounded to 3 dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*1*-12. Let b(j) = -j**2 - 4*j + 7. Let h be b(-5). Calculate the greatest common divisor of h and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c264 (base 16) to base 5\nAnswer: -12142200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34136, 34133, 34130, 34127, 34124, 34121?\nAnswer: 34118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-30))\/((-20)\/(-45)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + 2*z**2 - 3 + 4*z**3 + 7*z**4 + 5 - 4*z**4 to the form n*z + x*z**4 + t*z**2 + g*z**3 + v and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(198) + (-6*sqrt(198)*-2 - sqrt(198)))\/((sqrt(2) + sqrt(2) + (sqrt(288) - sqrt(2)))*6))**2)*4.\nAnswer: 4288\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 12:03 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) 194\/335 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5870735 and 7240?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 2\/11, 1.3, 3\/4, 2\/97, 0.3?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (912\/32 - 17)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 2\/5*(-4 - 2 - -101)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2142 - 12853\/6. What is the nearest to 0.2 in v, -2, -4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/(q*q\/(((q\/(q*q**(-1\/5)))\/q)\/q))*q**(-5)\/((q*q**(-1\/7)*q)\/q))**(-28) assuming q is positive.\nAnswer: q**(1324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*i = -65*i + 84 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255510?\nAnswer: 2, 5, 125551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*p**2 + 93*p**2 + 79*p**3 + 2 - 162*p**2 - 3*p as g + j*p**3 + d*p + s*p**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/8981 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7870 and -0.4773008971.\nAnswer: 7869.5226991029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2 + (-10)\/20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -28*k + 71 - 16. Sort k, 18911, -4 in increasing order.\nAnswer: -4, k, 18911","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*r - 33, 5*d + r - 4*r = -15. Let x = d + 6. Factor 2\/9*b**5 - 2\/9*b**3 + x*b**2 + 0 + 0*b**4 + 0*b.\nAnswer: 2*b**3*(b - 1)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -1\/12*d**5 + 0*d**3 - 1\/4*d**4 + d**2 + 0*d + 0 + 1\/120*d**6. Suppose 4*c = -2*q + 8, 6*q - 3*c = 5*q + 9. Calculate t(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 9, -2 in descending order.\nAnswer: 9, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 2:24 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 980, 1, -3388, 3, -4.\nAnswer: -3388, -6, -4, 1, 2, 3, 980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 23936 - 1089. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-46 - -13) + (-1 - ((2 - 1) + 7))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 246 = -5*d. Suppose 3 = -b, -4*k + 5*k - 5*b + 87 = 0. Let p = d - k. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358499, 1433948, 3226349, 5735696, 8961983, 12905204?\nAnswer: 17565353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w = -12. Let p be w + (-1)\/(-1)*8. Suppose 2*q - 4 + 5 = 5*k, 2 = -p*k + q. Which is greater: k or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 314 + -314.000005092. Round u to seven decimal places.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -479269?\nAnswer: 479268.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v**4 + 1 - 5*v**4 + 4*v**4 with respect to v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*c**5\/15 - 14*c**4\/15 - 4*c**3\/15 + 2*c**2\/15 = 0. What is c?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 73723 - 73723.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42.4 (b) 4 (c) 1\/7 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503775 is divided by 1685.\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33 + 42bcb?\nAnswer: 42b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:20 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -311. Let f = 1997\/8 - m. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3540 and -57\/2330.\nAnswer: 824820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 0.3, 6, 1 in descending order.\nAnswer: 6, 5\/4, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0 - (-4 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7980946*d*q**3*y - 60*d*q**2 - d*q - q**3*y - 2*q**2*y + 934*q**2 + 2*q*y - 3*y wrt q.\nAnswer: -47885676*d*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 13\/2 (c) -1 (d) -4 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let n be (1 + (-19)\/h)*-8. Let o = n - 16. What is the remainder when 40 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2266 divided by 103\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*u - 18. Solve -5 + u = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147.1 - 147. Which is the closest to k? (a) 1 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -81, -161, -241?\n\"Answer: -80*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14\/3 (b) 14 (c) 3 (d) -1\/7 (e) -0.3 (f) 2 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4894?\nAnswer: 2, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*f - 1181 + 71*f**2 - 70*f**2 + 1182 - 2*f**4 + 0*f to a + y*f**2 + u*f**3 + g*f + i*f**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 5. Let z be k(4). Let p = 274 + -549\/2. Which is the closest to z? (a) 3\/4 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/77 and 47\/77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2336 and 192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*b - 4, -5*t - 8*b + 3*b = -30. Let o be (70\/(-21))\/(t\/(-3)). Solve -9 - 1 = -o*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*w + 2*j, -2*j + 10 = 0. Let y(f) = 7*f**2 + 2*f + 7. Is y(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 366?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -3*h - 0*g + 2*g, h - 65 = 3*g. Let f = h + -3. Suppose 4*a = j + 32, a = -4*j - 10 + 1. Calculate the highest common factor of a and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29065 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033333013 (base 4) in base 16?\nAnswer: -4ffc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/27))\/(k\/(k**(6\/11)*k)))**(-43)*(k*k*k*k**(-1\/2)*k*k**(1\/15))**(7\/2) assuming k is positive.\nAnswer: k**(-301669\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312271007.\nAnswer: 89, 383, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -26. Let u = h - 17. Let z = 2 - 1.6. Which is the closest to u? (a) 2 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 5*s + 4. Let v be (-42)\/(1 - -5) - -7. Suppose v = 90*b - 83*b + 35. Give i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4085*m**4 + 5*m**3*s**3 + 2*m**2*s - 33*m*s**3 - 128*s**2 wrt m?\nAnswer: 98040*m + 30*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -433, 3, 32, 2 in descending order.\nAnswer: 32, 3, 2, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let c(s) = -5*s**2 + 1022*s. What is g(c(b))?\nAnswer: 5*b**2 - 1022*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 + 729*d\/5.\nAnswer: 3*d*(d + 243)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 483 + -256. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -197. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88.53 + 88.5298165. Round a to 6 decimal places.\nAnswer: -0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i**14\/i*i)\/i)\/i))**(1\/57)*(i**(2\/17))**(-14) assuming i is positive.\nAnswer: i**(-1783\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.3. Let d(a) = -5*a - 30. Suppose -8 = 4*j + 12. Let x be d(j). What is the biggest value in x, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -48159*y**3 - 16*y**2 + 10*y - 4. Let g be x(2). What is g rounded to the nearest 1000?\nAnswer: -385000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*h**2*r**6 + 2*h**2*r - 5*h*r**6 + 10*h*r**2 + 31*r wrt r.\nAnswer: -6360*h**2*r**3 - 600*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 1 - 34 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1084331\/48 - 22592. What is the common denominator of f and ((-33)\/9 - -4)*363\/20?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 15*n + 1. Calculate u(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4530, 6, -11 in increasing order.\nAnswer: -4530, -11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8508, 16916, 25336, 33774, 42236, 50728?\n\"Answer: p**3 + 8401*p + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*g + 2*b - 6*b - 3*b + 63, -197 = -436*b + 5471 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3 + 13. Let q(h) = 6*h**2 + 5*h - 6. Let u be q(1). Let a(c) = -u*c**2 + 0*c + 4*c + p - 9*c**2 + 15*c**2. Calculate a(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -7*o**6\/120 + 5*o**4\/12 + 4*o**2. What is the second derivative of c(z) wrt z?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 49421988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -254.\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/74412 and -89\/429.\nAnswer: 818532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-3720)\/(-25))\/((-2772)\/280)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 7*q - 3. Let k be y(-6). Suppose -2*g + 4*f = -22, -2*g - 10 = -3*g + k*f. Let n = -7 + g. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*n**2*p**4 - 435*n**2*p + n**2 - 4446*n*p**4 + 2*n*p + 15*n - 2*p wrt p.\nAnswer: -120*n**2*p**2 - 53352*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2575, 146, 7525, 21890, 45569, 80890, 130181, 195770?\n\"Answer: 388*k**3 + k**2 + 2*k - 2966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -1\/12*v**4 + 0*v**2 - 1\/3*v**3 + 0 + v. What is the second derivative of a(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8229049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11472, -11685, -11898, -12111?\nAnswer: -12324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158717788 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 13. Let a(h) be the first derivative of h**3 + 135*h**2\/2 + 4*h + 238. Let c be a(-45). Give g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10631 + 0?\nAnswer: 10631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, n: 15}. What is prob of picking 1 x and 3 n?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-58)\/(-8) + 36\/48. What is the greatest common divisor of b and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**4\/24 + 2*f**3\/9 - 5*f**2\/12 + f\/3 + 8. Factor u(n).\nAnswer: -(n - 2)*(n - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 89 - 40*g**2 + 55*g - 34*g**2 + 72*g**2. Let j be h(29). Sort -42, -3, j.\nAnswer: -42, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2*c**3\/3 - 45*c**2\/2 - 17*c + 21. Let h be l(-22). Solve -3*z - h = -5*p + 2*z, 5*p + z = -19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215289177 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 m = 618 + 4103. List the prime factors of m.\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7 (b) 108 (c) -0.5 (d) -4\/29 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/43 in -49, 147, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**8\/56 - i**4\/4 - 3*i**2\/2 - 4. Let l(k) be the second derivative of z(k). Find the second derivative of l(t) wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6366, 7282, 8808, 10944, 13690, 17046?\n\"Answer: 305*p**2 + p + 6060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -77002 and 6.\nAnswer: -76996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-3)\/(0 - -3)). Suppose h = -a - 3*a + 16. Let t = -566 + 568. Solve a*b = 4*d - 12, -t*b + 0*b - 11 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1011?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(4 + -6) + (-3)\/1. Solve n = -t - 3*n - 15, -6 = w*t - 3*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - a. Let n(y) = 2*y**3 + 6*y**2 + 34*y. Determine 6*c(o) + n(o).\nAnswer: 2*o**3 + 28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 - 107 + 138 + 574*z - 35)*(3 + z**2 - 3) as n + h*z**3 + b*z**4 + y*z**2 + p*z and give h.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001731697805 to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/430 and 52\/5.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2110844*a**2*k**2 + 2332631*a**2*k + a**2 - a*k**2 + a*k wrt k.\nAnswer: 4221688*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -850, 0, -1, 5 in ascending order.\nAnswer: -850, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(1 - i - 1)*(4 + i**3 - 4).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 199113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293255937 to the nearest integer?\nAnswer: 17125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**4\/3 - 2*h**2 - 4. Let k(q) be the second derivative of w(q). Let c(r) = -2*r**2. Calculate k(c(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 1447*z**2 + 5361*z**2 + 4*z**4 + 450*z**3 - 105300*z + 4*z**4 - 5*z**4 + 8663*z**2 + 164268 = 0.\nAnswer: -78, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v - 40 = 0. Suppose -v*q = -11*q. Factor 0*r + 1\/5*r**4 + q*r**2 + 1\/5*r**3 + 0.\nAnswer: r**3*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.46 + 2.35. Let b = k + -0.09. Let i = -0.2 - b. What is the nearest to i in -0.1, -0.5, 3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*i - 4*i - i)*(4*i**3 - 4*i**3 - 2*i**3) - 3*i**4 - 2*i**4 + 4*i**4)*(2*i - 2*i - 5*i).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499135?\nAnswer: 5, 7, 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*n = 3*u - 42, -u + 3*n + 4 = 0. Let a = u + 8. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44652871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*q + 716*b**2 + 168*q with respect to q.\nAnswer: b**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33188 divided by 1.\nAnswer: -33188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/10))**(-32)*((o*o**(17\/2)*o)\/o)**(6\/11) assuming o is positive.\nAnswer: o**(109\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -1 + -1)*141. Suppose -57 = -k + 5*o - 0*o, -2*k = -o - w. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*g**2 - 4*g**2 + 15*g**2)*(2*g**2 - 2*g**2 - 2*g**2) - g**4 - 3 - 2 + 3 as k*g**2 + c*g**3 + w*g**4 + l + i*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 19136?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((5 + 1 - (5 + -4)) + -7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 561.4226 millennia?\nAnswer: 6737071.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 5}. What is prob of picking 2 w?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -10. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130*-27.\nAnswer: 3510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guxx when four letters picked without replacement from ixixuinxiixiiiiiig.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11466, -22930, -34394, -45858?\nAnswer: -57322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0415 - 0.6985. Which is the second smallest value? (a) 2\/11 (b) 2\/9 (c) r (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**5 - 7*p**5 + 8*p**5 - 8*p**5 - 16*p**2 + 16*p**2 + (2*p**3 - p**3 + 0*p**3)*(p - p - 2*p**2) + (3 - 3 - 4*p**2)*(-5 + 2*p**3 + 5).\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -933.878 less than 1522?\nAnswer: 2455.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37621 + -37621. Factor 1\/3 + b*z - 1\/3*z**2.\nAnswer: -(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.1 (b) 2\/17 (c) -2594 (d) 0.5 (e) -22\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 49*c + 86. What is w(13)?\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*o - 4, b - 7*o = -5*o - 12. Let u be (-8)\/(-3)*(-6)\/b. Suppose l + l - u = 0. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 25354.\nAnswer: 228186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7)\/(-42)*(1608\/69)\/4?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23304 - 16021. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 55 + 33. Let g be 1\/(1 - n\/20). Calculate the remainder when 26 is divided by ((-18)\/g)\/((-2)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (24 - 9) + (10 - -12)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 2. Suppose -4*v = -5*l - 97, -o*v = 4*l - 48 + 14. What is the greatest common factor of 12 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14648 divided by 3662\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*k)*(0 + 4 + 1)*(-2 - k + 2 - 10 + 10 + 8*k + (1 - 3 + 1)*(2*k - k - 5*k)).\nAnswer: -110*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -139*f**3 + 5*f**2. Let t(u) = -1876*u**3 + 67*u**2. Determine 67*h(s) - 5*t(s).\nAnswer: 67*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 2*m**2 - 3*m**2 - 2*m**2 + 3*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*m + 22566 - 11874 - 23250 for m.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 306655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x + 21. Let i be w(-9). Let j = i + 114. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/26343 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 22*k**2 - 851*k - 83. Calculate r(40).\nAnswer: 1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 4*q**3\/3 + q**2\/2 - 5. Let m(p) = 3*p**2 + p. Determine -4*d(r) + 5*m(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n + 5. Suppose -2*b - 8 = 6*b. Put n, 4, b in increasing order.\nAnswer: b, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -31. Let w = 18 - y. What is the biggest value in w, 1\/3, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + -0.3. Let s = 4.7 - -9.8. Let x = -14.9 + s. Which is the closest to 1? (a) 0.4 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 3237.\nAnswer: 3237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.0451 (c) -1 (d) -15 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9182*n + 9153*n - 18138*n + 3743 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -769 and -43.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v + p = -178, 3*p = -6. Suppose -v = -5*j + 6. Solve -2*l + j = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154902 divided by -22.\nAnswer: 7041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z - 4. Let u be j(-4). Let b = 40 + u. Let h = 194 - 130. What is the highest common factor of b and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/26445 and 6\/2365.\nAnswer: 290895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:45 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(-11 - 1752\/(-160))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115881m in centimeters?\nAnswer: 11.5881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.3 + -0.3. Let m = 0.76 - -0.24. Let q = a + m. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i - 5*l, -2*l - 22 = -4*i - 3*l. Suppose 6 = i*x - 6. Solve -6*y = -x*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 3648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 1:31 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5885 and 99001039.\nAnswer: 98995154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 4. Let f(k) = 15 + 7*k - 12*k + 7*k - 11. Calculate -3*f(o) - 4*n(o).\nAnswer: 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 28*m**2 + 196*m + 11. Let o be n(11). Sort 4, 6, -1, o in increasing order.\nAnswer: -1, 4, 6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 10*p + 8. Let l be m(-7). Let x be (-21)\/(-12) + -3*(-3)\/l. Solve 2*j - x = 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 404 + 233?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(sqrt(112) + -1)*-5.\nAnswer: -120*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66431 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 666 = 710 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 9*c + 4. Let p be k(-9). Let t be (-1)\/5 + (-96)\/20. Let d = t - p. Sort d, 0.5, -0.2 in descending order.\nAnswer: 0.5, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1) + (-5 - (-8 + 1)). Solve z = -3*y - m - 13, 0*y - m = -2*y - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f - 16. Let l(d) = -27*d + 64. Determine 6*l(a) + 26*q(a).\nAnswer: 20*a - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-138)\/4*119\/(-126). Let t = 185\/4 - n. Find the common denominator of t and 76\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 3*k + 0*k + (4 - 3 - 2)*(0*k + 3*k - 2*k) + (3 + 3 - 5)*(-4 + 4 + k) + k + 2*k - 2*k + k + 0*k + 0*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*b - 154 - 122*b + 158 - 158*b - 300*b as l*b + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (-2 + sqrt(45)))*-5 + (sqrt(405)*-4 - sqrt(45)) + ((-1*sqrt(540))\/sqrt(12))\/(sqrt(9) - sqrt(27)\/sqrt(48)).\nAnswer: -121*sqrt(5)\/3 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242592.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/5 + 4\/5*o**3 - 34\/5*o**2 + 38\/5*o.\nAnswer: 2*(o - 7)*(o - 2)*(2*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15231*h**5 + 8300*h**2.\nAnswer: 913860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1053))**2 - (sqrt(39)*4)\/sqrt(3) - (sqrt(39) - (1*sqrt(351) - sqrt(39)))\/(3*sqrt(3)*2).\nAnswer: -131*sqrt(13)\/6 + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*k**3 + 4*a*k**2 + 298*a + 386*k**3 wrt k.\nAnswer: 12*a + 2316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p**2 - p)*(-5*p - p + 4*p) + 7*p**3 - 13*p**3 - 6*p**3 in the form y*p + m + d*p**2 + j*p**3 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n. Let m(x) = 7*x + x - 2*x. What is p(m(i))?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636592222 is divided by 1822.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 1\/2*z**3 + 0*z**5 + 0*z - 1\/30*z**7 + 0*z**6 + 0 + 0*z**4 - 3*z**2. Differentiate o(r) with respect to r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 279*l + 1. Let b(g) = 280*g. Let v(n) = 3*b(n) - 2*z(n). Let o be v(6). Let m = o - 13487\/8. What is the common denominator of -55\/6 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(176))*3.\nAnswer: -6 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 11)*2\/(-4). Put k, 2.04, -2 in descending order.\nAnswer: 2.04, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7571 in -5, 13, -4\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -8\/7 (c) 0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3703, -3695, -3673, -3631, -3563?\nAnswer: -3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**3\/2 + 2*n**2 + n. Let h be f(-4). Let s be (-2)\/(h\/26) - -3. Which is the second smallest value? (a) -1 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i**2. Suppose -3 = -g, -4*a + 3 = 2*g + 1. What is the units digit of b(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7 and 0.152.\nAnswer: 0.4104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98.7 and -74.\nAnswer: -7303.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 1, d: 1, e: 1, s: 1}. What is prob of picking 1 s, 1 p, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**4 - 71*v**3 + 111*v**2 - 25*v - 32. Let l(y) = 145*y**3 - 223*y**2 + 51*y + 63. Let d(w) = -9*k(w) - 4*l(w). Suppose d(x) = 0. What is x?\nAnswer: -4\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (870\/63)\/((-13905)\/(-116802)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/24)\/((-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -331*s - 5. Let w = 15 - 16. What is the hundreds digit of o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5284885 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -133, -201, -271, -343?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (-12 - 27) - (4 - -93 - (-3 - -8)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d + 21342 = -11778. Calculate the highest common divisor of 144 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3438379803 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1145 - 1144.93. What is the fifth biggest value in 0.1, -0.06, -22, 0.4, g?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3832869 and 44\/239.\nAnswer: 916055691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 3:43 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/64 + 1691\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**18*h**18 assuming h is positive.\nAnswer: h**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-3))\/(12\/252*7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9317143)\/(-712) + (-1)\/(-8).\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 935\/6 or 156?\nAnswer: 935\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*l**3 - 4*l**2 + 4*l**2 + 17072*l - 17072*l - 2456 + 39*l**4 wrt l?\nAnswer: 156*l**3 + 51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 63 - (45\/21 - (-1)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300 + 88724*i + 154 + 146.\nAnswer: 88724*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 272853, 0.1, -33 in decreasing order.\nAnswer: 272853, 0.1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*t + 3 = -28, 0 = -4*b + t + 21. Let o(r) = 4*r + 5. What is o(b)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -4 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 215\/5*2\/(-10)*5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/125 of a meter?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/120 - 13*r**4\/12 - 16*r**3\/3 + 21*r**2. Let c(o) be the first derivative of h(o). Let g(w) = -w**2. Calculate c(g(s)).\nAnswer: s**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1712673*o**4\/7 + 3425466*o**3\/7 - 1712913*o**2\/7 + 120*o\/7 = 0 for o.\nAnswer: 0, 40\/570891, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1 + -2 - (2*sqrt(98)*-3)**2) + 1.\nAnswer: -3529 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1240*b**2 + 596*b**2 + 188*b**2.\nAnswer: 2024*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204*n**2 - 938*n - 189*n + 206*n**2 + 2)*(n**3 + 2*n**3 + 2*n**3).\nAnswer: 10*n**5 - 5635*n**4 + 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68612 is divided by 2982?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 11:55 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28036*b**2*y - 146*b**2 + 36*b - 2*y**3 wrt y.\nAnswer: -28036*b**2 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 340599 and -0.21833?\nAnswer: 340599.21833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11238a48 + 1?\nAnswer: 11238a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 - 0?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 6:52 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 3*k - 3. Let q be g(0). Let j = -0.05 + -0.25. Which is the second biggest value? (a) j (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 504\/104 + 4\/26. Suppose -3*o - 93 = -2*u, -5*u + 79 = d*o - 91. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0 - 4 = -y, -2*y + 4*d + 8 = 0. Suppose 2*r = y, -2*r = -4*w - w + 291. List the prime factors of w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(30\/28)*5. Let l be (-97)\/3 - a\/(-21). Let b = 49 + l. Calculate the greatest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/6*6\/(-24)*-6. Let r(b) = -13*b**3 + 15*b**2 - 10*b - 7. Let s(w) = -4*w**3 + 5*w**2 - 3*w - 2. Give x*s(o) + 2*r(o).\nAnswer: 2*o**3 - 5*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/60 - m**5\/20 - m**4\/24 + m**3\/3 - 5*m**2. Let f be q(2). Suppose 2*s = -f*s. Solve s = -3*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*sqrt(19)*2.\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 112*y. Let g(h) = 247*h. Calculate g(q(s)).\nAnswer: 27664*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 2810\nAnswer: 11240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -20562?\nAnswer: 20557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6510524967 + -3.\nAnswer: 6510524964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45848 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*s = -286, -3*u + 5*s + 278 = -u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3\/2387, 0.4, -1\/4, 1\/6, -18\/13, 2, 0.3?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11 - 1) + 20 - 15) + -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -338559.02 to the nearest one thousand.\nAnswer: -339000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 2*y + 7. Give a(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2. Suppose -3*a = -106 - 215. Suppose 25*h - 54 = -2*h. Let c(l) = -107*l - h*l**2 + a*l. Calculate u(c(s)).\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -693 and -4.\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-13))\/((-2)\/26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2. Suppose -1 - 1 = -n. Let h(u) = -u**2 + u**n - 3*u**2. Calculate x(h(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011011011111 (base 2) in base 11?\nAnswer: 15788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001143956891 rounded to five dps?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsfbgvsggtvvgf. Give prob of picking 1 g and 2 s.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f**2 + f**3 - 2 + 0 - 3 + 5*f. Let d(o) = o + 4. Let u be d(-9). Is n(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/26 + -119\/130. Let f = 31.8 + -28.8. Put f, s, -3 in ascending order.\nAnswer: -3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p + 105 = 5*m, -4*m + 4*p = -52. Suppose 0 = 19*y - m*y - 14. What is the second derivative of 25*s - 5*s + 3*s + y*s**4 wrt s?\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*313032\/(-2021665)?\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 - -0.13. Let k = q + 10.13. Let m = k - 9. What is the closest to m in -2\/9, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677 (base 16) in base 8?\nAnswer: 13167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lttvlclclcvllcuc. What is prob of sequence llcu?\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 1. Let w(o) = 3*o + 5. Let v(h) = -p(h) + w(h). Suppose 6 + 22 = 7*f. Calculate v(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20486, -1, 12, -3, 2, 4 in increasing order.\nAnswer: -20486, -3, -1, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20367688?\nAnswer: 2, 11, 53, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -5\/12 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.73411846 + -671361728.73411846. Let a = -671361709.00000003 - o. Let w = 3 - a. What is w rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r**2 + r)*(0 + 1 + 1)*(-2*r + 4*r - r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/11)*t)\/((t*t**(1\/4))\/t))\/((t\/(t\/((t*t**(-3\/14))\/t))*t*t)\/(t**(-3)*t)) assuming t is positive.\nAnswer: t**(-1019\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 5:04 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkmhmrrfkhkmzmhzmkm. What is prob of picking 1 z, 1 r, and 1 k?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 326207.\nAnswer: 326207.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/56 - 1\/28. Let p = 1695 + -122033\/72. Let x = p + t. Which is the closest to 2\/5? (a) -0.3 (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u\/(u*(u**2\/u)\/u*u*u)*u)\/u))**(-29))**(1\/10)*(u\/u**(-5)*u*u**(-5))**1 assuming u is positive.\nAnswer: u**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 50 = -5*i, 18*i + 230390 = -4*f + 230598 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1\/4, -6150.19?\nAnswer: -6150.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*p + 113*p + 49*p**2 - 2*p**2 + 3*p**2 - 2*p**2 + (-p + 3*p + 0*p)*(-3*p - 2 + 2) - 4 - p**2 + 4.\nAnswer: 41*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 388 = -18*c + 176 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9590 + 37131 = 3*y, 5*i + 36726 = 4*y. What are the prime factors of y?\nAnswer: 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 5 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 562629*j**2\/4 - 48402735*j\/4 + 1040778063\/4.\nAnswer: 3*(j - 43)**2*(j + 187629)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 4*n + 23 - 4*n)*(-34*n + 34*n - 25*n**3 + (2 + 1 - 1)*(0*n**2 - n**3 + 0*n**2)) in the form b*n**2 + o*n**3 + x*n**4 + g*n + k and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5, 1\/127, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 256, -3, -70 in increasing order.\nAnswer: -70, -3, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(84\/9))\/(3\/(-1))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 97, 144, 195, 250, 309?\n\"Answer: 2*l**2 + 41*l + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -702085376*s**3 - 402453708.\nAnswer: -2106256128*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -35. Let n(v) = -3*v - 2. Let d be n(-3). Let b = -3 + d. Solve -t = 5*k - b*t - o, -t + 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/9 + 5\/(-6). Let n = 4.7 - 5. Let k = -0.2 - n. Which is the closest to k? (a) f (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 2*l + l)*(2 - 1 - 2) + (20 - 21 + 12)*(l + 4 - 4).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = -2*v - 0, 2*v = -k + 9. Let m = 4 + -4. Suppose m = t - h + 1, -2*h = -5*t + t + 6. Solve v = -t*o + 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198607480.\nAnswer: 2, 5, 4965187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-447)\/(-110)) + 798\/140 + -6\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1071 and 1.\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 0, -2*a - z = z - 4. Let o be ((20\/(-360))\/(28\/(-24)))\/((-1)\/6). Let x = 3 - 3.1. What is the closest to x in -4, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 6) to base 9.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211 (base 4) to base 2.\nAnswer: 10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6398 + 11524. What are the prime factors of j?\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4272973.6800173 - 4272974. Let o = s + 0.32. What is o rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 12*h - 71 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 6*x**2 - 76*x**3.\nAnswer: -76*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 1397\/55 + 1\/((-10)\/4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 449778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 3, -0.4, 1, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 14*c - 11. Let z be 7\/(42\/12)*(5 - -1). Let b be p(z). Suppose -26*g - b = -27*g. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 59660912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95700)\/(-6699))\/((-8)\/(-42)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*p - 5*t, 85 = 7*p - 2*p + 5*t. Solve p*a - 11 - 6 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -137, -227, -315, -395, -461, -507, -527?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 179. Let c = s - 111. What is the highest common factor of 374 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 9*g - 4. Let d be o(-8). Let p = -1 + 5. Suppose p*w + m = 2*w + 14, 8 = -d*m. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 1043052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 0, -2\/353?\nAnswer: -2\/353","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 1:03 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2979 + -2974. Solve -12 = i*s - 3*y, -4*s - 39 + 28 = -y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3119 + -49943\/16. Calculate the common denominator of o and ((-12)\/18)\/((-22)\/(-24)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43048 - 5?\nAnswer: -43053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/10*-1*12*6\/78.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {d: 1, q: 11, a: 6}.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -21361\/12520 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 33, 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g**5 + 32076*g**4 + 819652*g**3 + 4944728*g**2 + 5696070*g + 1538908 = 0.\nAnswer: -17, -7, -1, -2\/5, 3233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from nddnddddbd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51503.3 millilitres to litres.\nAnswer: 51.5033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -51699\nAnswer: -5\/17233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172*(((-22)\/(-8) - 2) + 0).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-14) - (-39 + 1260\/36)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 32. Let b(r) = 10*r**2. Determine b(m(v)).\nAnswer: 40*v**2 - 1280*v + 10240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 19215?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 338027*h**5 + 577*h**4 + 182*h**2 + 13*h - 14479.\nAnswer: 20281620*h**2 + 13848*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o - u - 5 = 0, 10 = 2*o - 2*u. Suppose j + 2*t - 4*t - 1 = o, -3*j + 10 = t. Let m(x) = 3*x**2 - 5*x + 2. List the prime factors of m(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 take away -0.22?\nAnswer: -24.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -171, -262, -375, -522, -715, -966, -1287, -1690?\n\"Answer: -2*k**3 + k**2 - 80*k - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1807, 4, 25 in decreasing order.\nAnswer: 1807, 25, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a + 5. Let i(c) = -4*c + 3*c + 111 + 116 - 232. Let w(b) = -6. Let d(l) = i(l) + w(l). Give d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 12*q**7\/35 - q**6\/60 - 54*q**5\/5 + 10*q**2 - 11*q. Find the third derivative of f(o) wrt o.\nAnswer: 1728*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 8945*i**2 - 8661*i**2 + 14 as a*i + n + m*i**2 and give m.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -467*b - 134487. Calculate o(-288).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -5576771\nAnswer: -27883855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1) + -6 + 4. Let u be (-1)\/h*65*1. Let b = -32 + u. Is b less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10903*z**2 + 6024*z**2 - 5080*z**2.\nAnswer: 11847*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32274 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 69632272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 125. Let x = 194 + h. Suppose 9*s = 11*s - x. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/6)\/(3\/4). Let w = 3 + q. Let i(x) = 5*x + 3. Let m(a) = -16*a - 17. Let l(b) = 11*i(b) + 2*m(b). Give l(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -330 - 232 - 174 + 399 - 2*m. Let u(l) = 3*l. What is u(d(j))?\nAnswer: -6*j - 1011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 4:00 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.008 + 0.008. What is the closest to 3 in -5, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -182.7 (b) 2 (c) -0.5 (d) -4 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666099*d + 666076*d = 529 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3927*o. Let k(v) = -1635*v**2. Give f(k(b)).\nAnswer: 6420645*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 5*n + 27 - 1, 57 = -16*n - 31 - 33 - 3 + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019627 to 7 dps.\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34724505 divided by -11574835?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15472175 or 15472176?\nAnswer: 15472176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 139 and 405\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 u when four letters picked without replacement from uyuuuuuu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z + 1. Let f be s(4). Let h = f - 4. What is the least common multiple of h and 91\/14*(8 - (-800)\/(-104))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from cyyzkucyucyyiyiyyy?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 + 36?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/315? (a) -3612\/25 (b) 0.3 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 242 - -0.3.\nAnswer: 242.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*t + 1. Suppose t*w + 15 = 20*w. Suppose w*v = 0, 0 = 4*o - 2*v + 40 + 16. Are -12 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-9)\/6 - -167. Let j be y\/(-4) + (-1)\/(-4). Let a = j - -883\/20. Find the common denominator of 37\/11 and a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**2 + 594125*t - 7428125.\nAnswer: 5*(t + 59425)*(2*t - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*v**4 + 92*v - 32*v - 20 + 5*v**2 + 90*v**3 + 25*v**5 - 175*v**3 = 0. Calculate v.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/900 + m**5\/450 + m**4\/180 - m**3\/45 + 59*m**2. Factor b(n).\nAnswer: -2*(n - 1)**2*(n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 53.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 3*x + 6. Let p = 15 - 25. Let f = 15 + p. What is i(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*j - 22 = 6*c, 0 = 2*j + 4. Let p = -20 - c. Let k(s) = -3*s + 2. What is k(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4\/4 + 32955*h**3\/4 - 131875*h**2\/4 + 164865*h\/4 - 32975\/2 = 0. Calculate h.\nAnswer: -6595, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 0*l**2 + 0 + 1\/21*l**7 + 0*l**3 + 29*l + 1\/5*l**5 + 0*l**4 - 1\/5*l**6. Solve q(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 71936 = 5*w. Let l = w + -9395. Let i = 85811\/10 - l. What is the common denominator of i and 89\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/47, 4\/5, 4\/7, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 442.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74 or -99?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)\/((b\/(b**(2\/23)*b)*b)\/b) assuming b is positive.\nAnswer: b**(-90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -1)**2*-3.\nAnswer: -8211 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 1, -5, -5, 7?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose -8*p + 22 = 3*p. Solve 0 = z + 4, -p*w = 3*z + f + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 32 - (1 - -21 - (2378 - 2347))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sssskssssksksskk?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*m + (6 - 1 - 2)*(-m - m + 5*m).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**4\/6 - n**3\/2 + 2*n**2. Let m be i(2). Suppose -y + 0*c = 2*c - 19, -m*y = -5*c - 95. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s\/(s\/(s\/(s**4\/s)))*s)\/s)*s\/(s\/(s\/s**(3\/5))))\/(s**(2\/7)\/(s**(4\/9)\/s)) assuming s is positive.\nAnswer: s**(806\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243955906?\nAnswer: 2, 163, 748331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 780 and 5126.\nAnswer: 1999140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1.3, -4, -1\/5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 4, l: 6, g: 2, p: 2, h: 3}. What is prob of picking 2 l, 1 f, and 1 h?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 12. Do -22 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.1775ml in litres?\nAnswer: 0.0801775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 28 = -4*v. What is the units digit of -1 - -4*(-2 - v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 123480.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 6*h**2 + 4*h - 4. Let n be x(6). Let i be 1*(-6)\/(-15) - (-1498)\/5. Suppose 12*o - 18*o = -i. Calculate the highest common divisor of o and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 73. Determine x(0).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26615732239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 30\/17*f + 94\/17*f**3 - 138\/17*f**2 + 6\/17*f**4 = 0 for f.\nAnswer: -17, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjooj. Give prob of sequence jjoo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - x + 2. Let y(n) be the first derivative of n**2\/2 - 13*n + 9. What is the smallest common multiple of y(17) and v(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 13*d. Let h(k) be the third derivative of k**5\/120 + 116*k**3\/3 + 79*k**2. Let i(s) be the first derivative of h(s). Calculate i(r(x)).\nAnswer: -x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:48 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -147*l - 104. Let p be a(-5). Let i = p + -242. Does 28 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6614 + b?\nAnswer: 6620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2815.\nAnswer: 281.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1792 + -1062. Let w = a - 730.000725. What is w rounded to 5 dps?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1\/1230, -2, -2\/5, -10.4?\nAnswer: -1\/1230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -69*t**3 - 55*t**2 - 5*t - 8. Let b(s) = -14*s**3 - 10*s**2 - s - 2. What is 11*b(k) - 2*o(k)?\nAnswer: -16*k**3 - k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 1, q: 1, a: 1}. What is prob of sequence eq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3019\/4 + -754. What is the fourth smallest value in 51, -1, 5, j?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 361191657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (15 - 3 - 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dll when three letters picked without replacement from dldlldldlddlllllll?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 25*k = -6. Let f = -223\/305 + 8\/61. Which is the biggest value? (a) k (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439472903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 8 = 4*x, -3*x - 1639 = 5*k - 1640 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h. Let g be 52\/(-117) - (-98)\/18. Let a(x) = -18*x. Give g*a(y) - 12*d(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, w: 4, q: 2}. Give prob of sequence dwdw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**23*x\/(x**(7\/3)\/x)*x**(-8)\/(((x*x**(-1\/4)*x)\/x)\/x))**(-4\/3) assuming x is positive.\nAnswer: x**(-179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, o: 3}. What is prob of picking 2 m and 1 o?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 2\/47 (c) -1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 21*z - 17*z + 248 = 0, -336 = -3*v - 3*z. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 24780?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6525, 13053, 19581?\nAnswer: 26109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87313?\nAnswer: 87313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -272977?\nAnswer: -272973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 - 89. Round r to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 3814 - 678 = -117*n + 7345 for n.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2792, -11162, -25108, -44630, -69728?\n\"Answer: -2788*q**2 - 6*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-4)\/(8*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h - 24*h**2 - 16*h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1027835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -10) + -10 - (-20 - -10 - -23).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 57 = 15*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*o = 3 - 40, -o = 2*q - 15. Let d(c) = -12 - 6*c + 30 + 2*c + 14. Let i be d(q). Put 5, -1, i in decreasing order.\nAnswer: 5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(143) + sqrt(143)*1) - sqrt(143)) + -6*-1*sqrt(143) + sqrt(143))\/((sqrt(11)*2 + sqrt(11))*6 + (sqrt(132)\/sqrt(300) - sqrt(11))).\nAnswer: 5*sqrt(13)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 78. Let x(z) = z - 47. Let q(n) = 9*p(n) + 16*x(n). Determine q(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298106*q**4 + 372476*q**2?\nAnswer: -7154544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1578969 + -246?\nAnswer: 1578723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 35*t**2 - 53*t - 6. Give p(3).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 916386 and 20.\nAnswer: 9163860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a century?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, j: 2}. Give prob of sequence jjww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 7*g**2 - 6*g + 1. Let f be q(-1). Factor 49*w - 362*w**2 + 28*w - 9 + 73*w - 263*w**f.\nAnswer: -(25*w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -609\/4 + 34649\/228. Let q = 20\/19 - d. Let j = 3.875 - 3.975. Which is the closest to -1\/3? (a) q (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = -0*p. Let r(d) = -4*d**2 + 2*d + 2. Let q be r(-1). Sort 2, p, q in decreasing order.\nAnswer: 2, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13869 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (4 - (-4 + 13 + 9) - -12) - -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476 + (-6 - -1) - (-15)\/3.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.161 and 232214.3.\nAnswer: 37386.5023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8265 and 39793365.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -111, -115, -119?\n\"Answer: -4*f - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 938317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2 - 2*m*o + 52*m + o wrt m?\nAnswer: -4*m - 2*o + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -19. Is 11 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 at most -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1261 - 728. Calculate the greatest common divisor of i and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjqo. What is prob of sequence qj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5520 - 54)\/(9\/24). What is x rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-7))\/((-36)\/(-378)). Suppose -3*k + 0*p + p = -x, 4*p = -2*k + 10. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.0008 - 3. Let g = 0.02 + m. Round g to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - z**2 + 2*z**3)*(-1 + 6 - 1 + (-4 - 1 + 4)*(2 - 1 + 0) + 2 + 2 - 6 + (-324 + 630 - 324)*(-6 + 0 + 2)) as g*z**2 + p*z**3 + a*z + s and give p.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4631519 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 66*i**2 + 25*i**2 + 4*i**2 - 12*i**2.\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 1359*h - 1325*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49486778 is divided by 182608?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -3 (c) 1 (d) 2 (e) -0.2 (f) 76 (g) 59\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4\/2 - 73*r**3\/2 - 112*r**2 + 1754*r - 2760 = 0.\nAnswer: -69, -10, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 54.63. What is o rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - 7\/(-3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -57, -41, -19, 9, 43, 83?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - g - 31, -5 - 15 = 4*g. Solve 5*s + h = -v, 0 = -2*s - 5*v + 2*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 549*a**4 + a**2 + 5*a + 547*a**4 as y*a**3 + k*a**2 + b*a + r*a**4 + n and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 3*j**2. Let m be y(3). Suppose -2*u - 2*u = 5*b - 53, m = u + 5*b - 17. What is the greatest common factor of u and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/11 (b) 7 (c) -69 (d) -1\/2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -368480 - -368484. Solve 16\/7*y**2 - 12\/7*y + 1\/7*y**z + 0 - y**3 = 0 for y.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75624 and 18906?\nAnswer: 75624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 4 - (16 + -41).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 87415682*u. Let s(q) = q. Calculate s(f(z)).\nAnswer: 87415682*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3012*b = -46540 - 25748 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*m - 3, 1 = -m + 1361*w - 1358*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + -0.02. Let b = 0 - d. Sort 0, b, 2\/7 in decreasing order.\nAnswer: 2\/7, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -2*f - 5*c, 27 + 77 = 2*f - 3*c. Suppose -772 = 53*z + 2196. Let v = z + f. Solve -3*x + 0*x + 7 = -2*a, 2*x + 2*a + v = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1651*b**6 - 1521*b**2 wrt b?\nAnswer: 198120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*w = 23 - 17, -711*w = -5*z - 708*w + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0 - (-32 - -32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1541832, 3083677, 4625522, 6167367?\nAnswer: 7709212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/7 - 2322*y\/7 + 4636\/7 = 0. What is y?\nAnswer: 2, 1159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 875109 = 5*v + 2*r, 3*v = -3*r - 525051. Let w be v\/4*8\/(-370). Let c = w + -946. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(17) + sqrt(17) + sqrt(17) + 0)**2 - 4*sqrt(34)\/sqrt(2).\nAnswer: -4*sqrt(17) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**6)**(-50) assuming m is positive.\nAnswer: m**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39855*g**3 - 2*g**2 - 582*g + 5?\nAnswer: 239130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -82*h - 493. Does 18 divide c(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2510 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*z - 291*z + 9*z + 3.\nAnswer: -387*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099.11412 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 0, 11, -2, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*b + 1 = 2*b, 3*l + 4*b - 14 = 0. Let w(n) = n**3 - 7*n**2 + 7*n - 2. Let g be w(l). What is the units digit of ((-2)\/g)\/((-2)\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 4. Suppose -54*z - 105 = -49*z. Let c be (-3)\/(-3) + z\/(-35)*5. Let i(u) = -15*u - 55. Give c*i(o) - 55*y(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.069? (a) 5 (b) 876 (c) 0.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 94. Let r be (-1 - (-8)\/z) + 45\/(-297). Let b = 1 - 0.7. What is the closest to -2 in 4\/5, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77019234 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 169*y - 354*y + 179*y + 4. Determine w(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = s - 79, 3*s - 3 = 9. Suppose 1 + q = u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9 = 5*h. Let b be (-2 - (-10)\/2) + -4. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 6 = 3*q. Suppose -4*n = -69 + q. Let a = 21 + n. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 - 2. Let g = -31 - -26. Let a(d) = -5 - 2*d**2 + 2*d - 4*d**2 - d**3 + d**2 - d. Determine g*n(j) + 2*a(j).\nAnswer: 3*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14812, 4, 0.3?\nAnswer: 14812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -1\/8*i**2 - 3\/2*i + 1\/12*i**3 - 53. Factor m(p).\nAnswer: (p - 3)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4017663229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -28. Calculate the common denominator of -83\/4 and j\/60*(-357)\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/(-108)*30\/4 and -77\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.22208 hours to minutes.\nAnswer: 553.3248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -432200 by 17288.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 6*w**2 + 3*w + 1. Let c be i(3). Let d(m) = -m + 7. Let z(s) = -3*s + 20. Suppose -276 = -97*h + 306. Determine c*d(n) + h*z(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -14*a + 32 - 147 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2686949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -395, -829, -1437, -2219, -3175?\nAnswer: -4305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2)\/(1 - 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007929 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -80*x + 186. What is g(3)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in centuries?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1018 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 4. Let k = g - -14. Let c = -14.996 - k. What is c rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1\/14 (b) 744 (c) -2.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 7:16 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4.88. Let d = n - 14.12. Let y = -9 - d. Put y, 2, -2\/5 in descending order.\nAnswer: y, 2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**3 - 2*m**2 + 6*m + 9. What is the least common multiple of a(-3) and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*d - 1411*d - 1461*d.\nAnswer: -2345*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1011000110110011001101 (base 2) to base 4\nAnswer: -23012303031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxhhsshsggsxxhszsg. What is prob of sequence xx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*v + 2*c, v - c + 2 = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67538 = -3941*p + 91184 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-12))\/(25*3\/2).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 8) to base 2.\nAnswer: -1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 396 or 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - u = 15 - 1, 5*u = -h - 15. Solve 3*b = a - 8, 0 = 2*a - h*b - 6 - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1293316101 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17649237 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-23))\/((-453)\/(-10419)). Suppose -3*o - 8 = -7*o. Sort i, o, 41.\nAnswer: o, i, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 22 = o + 2*c, 0 = 2*o + 2*c - 38. What is the remainder when 84 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-423 + -34)\/((-2)\/14*1). Suppose -s = -10*c + 3*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11404\/13 - 878. What is the closest to 1 in n, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-2))\/(22\/(-33) - -1). Solve v*i + 12 = 2*l, 4*i + 16 = -3*l - l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -229, -1.1, 1, -1\/27, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-6776)\/336)\/(-121)*3\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77676 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 51828*m**2 - 482*m - 483. List the prime factors of v(-1).\nAnswer: 51827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -196, -362, -498, -604?\n\"Answer: 15*j**2 - 211*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 14 + 6. Suppose 0 = -3*p + i + 5, 0 = r*p - i - 7 - 0. Let o(l) = -l**2 + 6*l + 484. Calculate the smallest common multiple of o(25) and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -170e53 - 0?\nAnswer: -170e53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 33*h + 22. Let v be w(-16). Suppose 32*b - 39*b = -v. What is the remainder when 119 is divided by b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5779 - -8097. List the prime factors of q.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n*n\/(n*n**8))\/n*n)\/n)\/n*n**1\/n*n**(-2\/9)*n**(2\/5)\/n assuming n is positive.\nAnswer: n**(-352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -465, -441, -407, -369, -333, -305, -291?\n\"Answer: -w**3 + 11*w**2 - 2*w - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 1565?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 1:41 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 333 = -351 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189374917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/21, -1, -7\/4, -1231\/4 in increasing order.\nAnswer: -1231\/4, -7\/4, -1, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 2*w - 5*w + 6*w - 2*w + 4470.\nAnswer: 2*w + 4470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 35*v**2 - 13*v + 66. Let t = -23444 - -23427. Give q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + 4 + sqrt(468) + 5*4*sqrt(117))**2.\nAnswer: 396*sqrt(13) + 56637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 6*v - 29. Let b be k(9). Suppose o - 10 = -d, -3*d = -4*o - 0 + 5. Suppose -1074 = -o*j - b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 4*w + 4. Give x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y - 2*q - 22 = 0, -y + 22 = -5*q. Let b be (4\/8)\/(4\/(-64)*-4). Put b, y, 14, 1 in descending order.\nAnswer: 14, b, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13396*g - 4 + 5 + 0.\nAnswer: 13396*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28677 - 31?\nAnswer: -28718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, w: 7}. Give prob of picking 4 w.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - (8868\/(-9) + -3). Suppose 3*o = s - 322. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131340301143 - 3?\nAnswer: 131340301140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(48) + 5.\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(200) - (sqrt(200) + 4))**2 + 5) + ((-2*sqrt(54))\/sqrt(3))\/(sqrt(18)\/(sqrt(2)*-1) - sqrt(9)) + -1.\nAnswer: -43 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 1 - (2 + -4 + 40 + -44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189285451 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 16 (c) 10.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/21*r + 2\/21*r**2 + 0.\nAnswer: 2*r*(r + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2 + -0.2. Let f = -0.08 + -2.92. What is the third smallest value in f, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 273*o**2 - o - 286*o**2 - 28*o**2 - 5 + 4*o. Calculate w(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2 = 5*f + z, -2*f = -z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*-41*(-3)\/6 and (-90)\/25 + (-2 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 363 = 5*a - 130 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.34 + 35. Let w = b + -0.06. Let q = 471 + -474. What is the second biggest value in 0, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 31 in ascending order.\nAnswer: -2, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 11. Suppose 4*y - g = -6. Factor 0 - 2\/7*i**2 + 2\/7*i**y + 0*i.\nAnswer: 2*i**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 4, -13, 0.1 in decreasing order.\nAnswer: 28, 4, 0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 4:44 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, 4, 6, 5 in ascending order.\nAnswer: 1, 4, 5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -4 - 231\/63?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2596014 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -475, -457, -439, -421?\n\"Answer: 18*x - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 3*v + 187 = 152, -3*t + 3*v = 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111 - -107. Let k = z + 7. Solve -i - 7 = -5*n + 7, 2*n - k = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Suppose -4*m = -6*m. Suppose 4*t + m*t = -3*b + 11, -4 = -4*b. Let f(k) = -132*k**t + 2 + 134*k**2 - 2. Give f(y(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/14*385\/7260*66*59\/10?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/(-16) - 6\/9 and (66\/112)\/(1\/(-4))?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (0 - -19 - (-209 - -201)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3\/(8283\/828 - 10) and 40.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4) + (-11)\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m - 7. Let c be f(5). Let n be ((-16)\/(-20))\/(50\/3375). Let p = n - c. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 263\/3 - 87. Sort -3\/5, 5, w in increasing order.\nAnswer: -3\/5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-20)\/(-4) + 12 + -5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -127? (a) -1.29 (b) -0.5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103759 is divided by 6252?\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-23074)\/556 + (-2 - -21)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(448) + -6*sqrt(448)*1 - -5*((0 + sqrt(448))*2 + sqrt(448) + sqrt(448)))**2*-6*4.\nAnswer: -2419800 + 28800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 14) to base 12.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2875004.\nAnswer: 2, 11, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076205 (base 8) in base 4?\nAnswer: 1013302011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4345*n + 1100*n - 1177*n in the form m*n + r and give m.\nAnswer: 4268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 3*w - 4. Let n be f(-4). Let m(j) = -6*j - 15. Let z(b) = 5*b + 14. Let g(u) = -6*m(u) - 7*z(u). Calculate g(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 53\/3 - 4\/(-12). Suppose 48 = 3*r + 5*f, 3*r - o = 2*f + 9. Let w = r - -6. What is the remainder when w is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/120 + c**5\/20 + c**4\/24 - c**3\/2 - 3*c**2. Let t be f(3). Suppose t = 2*k - 11 - 13. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Suppose 0 = 4*k - 12, 3*k = 4*y - 1 - 14. Suppose 5*h - y = l*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195 + -591. Let k = u - -367.7. Let m = k + 46. Round m to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170126.\nAnswer: 2, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:52 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*m = 1565. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u - 59 + 147 = -242. Let i(q) be the second derivative of 5*q**4\/3 + 5*q**2 - q. Let f(l) = l**2 + 1. Give u*f(m) - i(m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a decade in months?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6030 to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 224*z**3 - 241*z**2 + 2. Let j(f) = 1119*f**3 - 1202*f**2 + 11. Let h(p) = 2*j(p) - 11*o(p). Find the third derivative of h(v) wrt v.\nAnswer: -1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2998, -15585, -34168, -52751, -71334, -89917?\n\"Answer: -18583*q + 21581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + f - f + 0. Let g be r(7). Let d(z) be the third derivative of z**4\/12 + z**3 + 9482*z**2 - 15*z + 2. Calculate d(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**4\/4 - 6995*h**3\/2 + 2181225*h**2 - 513063490*h + 41705077880 = 0.\nAnswer: 254, 2036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1687 and 91224766?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307530?\nAnswer: 2, 5, 7, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 22*j**2 + 2*j + 46. Determine n(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(-2\/57))\/f)*f)\/f*f**(-2\/5) assuming f is positive.\nAnswer: f**(181\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10)\/(81\/1458).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 758405593 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -1.839?\nAnswer: 2.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17063 plus -0.08?\nAnswer: 17062.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2061 + 2061.1. What is the nearest to 0.08 in p, 0.2, -5, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -484 divided by -788\nAnswer: 121\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 35*n. Let m(g) = -g**2 - 8517*g + 8517*g. Calculate m(p(v)).\nAnswer: -4*v**4 + 140*v**3 - 1225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4 = -0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 0*q**2 - 7*q**2 + 53215*q.\nAnswer: -2*q**2 + 53215*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*c - 16809 = -o - 107*c, 16815 = o - 4*c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2. Let s be (-1)\/((12\/(-68))\/3). Let t(f) = -s*f + 44*f - 11*f - 15*f. Calculate t(v(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -333?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -47*a**2 - 230*a + 59. What is the derivative of v(i) wrt i?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78.1 + 78. Let m be 1 + -2 + 1\/3. Let g = -6 - -7. Which is the nearest to g? (a) 5 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)\/g**5)**(-4\/17) assuming g is positive.\nAnswer: g**(36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 + 124*h - 78. Give w(-22).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 14*s + 92. Let o be m(-7). Let b(g) = -8*g - 3. Let w(n) = n + 6. Let k(d) = 1. Let z(h) = -6*k(h) + w(h). Calculate o*z(v) - b(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6915 and 71160?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 25*t**2 + 23*t + 34. Calculate the smallest common multiple of z(24) and 502.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oddzzrzodbzdjbj. What is prob of picking 3 d?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w - 16. What is p(-5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*s - 9, s - 3*c + 2*c + 3 = 0. Let j(q) = -4696 + 3*q**2 + 4683 - 3*q - 2*q**2. Let i be j(s). Solve 3*u + 8 - 3 = -i*z, -2 = 2*z + 4*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 13*a**2 - 15*a - 41. Let t be u(-12). Let j(i) = 2*i**2 - 13*i - 20. What is the remainder when j(t) is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 188\/208 + (-9)\/12 - 2413608\/13. Round d to the nearest one thousand.\nAnswer: -186000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 12*h - 4. What is p(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 356 - 360.1. Let k = 4.1 + x. Put 3, k, 14, 0.5 in ascending order.\nAnswer: k, 0.5, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 9*l + 354. Let h be (3 - l)\/(-2*(-3 + 2)). Solve -2*k - h = -5*u + 8, -k = -4*u + 23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -29. Solve 0 = -3*j + w + 12, m*w + w - 12 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) 7\/2 (b) -0.4 (c) 2\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*-10.6.\nAnswer: -2.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -18158, -1\/6, -0.487, 0.4 in decreasing order.\nAnswer: 0.4, -1\/6, -0.487, -18158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**28*d**(1\/37) assuming d is positive.\nAnswer: d**(1037\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**4\/4 - 13*s**3\/3 - 5*s**2 + 29*s + 14. Let y be j(-12). Let d(a) = 8*a**2 - a + 6. What is the hundreds digit of d(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:27 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -806 (c) 3 (d) 208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 645 - 290. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1981.9 + 1902. Let m = r - -78. Which is the second smallest value? (a) m (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from qttjppqtjytkjtj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-10 - -21) + 7 + -42.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b\/(b*b**11)*b*b*b)**25\/((b\/b**9*b)\/(b\/(b**(5\/4)*b)))**2 assuming b is positive.\nAnswer: b**(-577\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120405 and 559682.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21645723 + 21645648.0000275. Let z = h - -75. What is z rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021 + -112?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqnqq. What is prob of sequence qqn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/5 (b) -1.1 (c) -5 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 4:04 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(7\/14*(0 - -2)). Let t be y\/((-4)\/(-2) + -3). Let u(j) = j**2 + 6*j + 2. Determine u(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 259 (b) 1 (c) -4\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 3)\/(-1)*(-32)\/(-32). Let y = 1 - -1. Let f(g) = u*g - 4*g + y*g + 2*g. Let j(h) = 2*h. What is j(f(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006099 rounded to 5 decimal places?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2970*o**2 + 2979*o**2 - 5943*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 + 1)) + (-13 - -11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + 5*u)*(-1 + 9 + 4) + 3*u + 4*u - 3*u.\nAnswer: 64*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 = -46*l + 266 - 20 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppnppppppp. What is prob of picking 1 n and 3 p?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6321 = -8*m - 233. Is (-3)\/12*(-3 - m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5954750?\nAnswer: 2, 5, 23819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1376 divide 597075925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m = -25*m + 4*q - 1307, m - 2*q = 1331. What is the greatest common factor of m and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110112110 (base 3) to base 13.\nAnswer: 420c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-791*w + 251*w - 80*w - 311*w)*(2*w - 4*w + 3*w).\nAnswer: -931*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 184 - 232. Suppose k*d + 3219 = 51*d - 2*b, 4*d = 2*b + 4290. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - 11 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/10 + 23*i**2. Let v(w) = 5*w**2. What is k(v(f))?\nAnswer: -150*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1329, -1328, -1347, -1386, -1445?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Let w = 0.2534 + 7.7466. Sort -1, w, 6\/7, y in descending order.\nAnswer: w, y, 6\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -6. Let p = h - -9. Let q = -57247 - -57247.4. Which is the second biggest value? (a) -5 (b) p (c) -3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136483, 270792, 405101, 539410, 673719?\nAnswer: 808028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**5\/70 + a**4\/21 - a**3\/21 - 2*a**2\/7 + 6*a + 4. Let r(z) be the first derivative of l(z). Let r(s) = 0. What is s?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2. Let h(a) = -2*a + 27. Give g(h(b)).\nAnswer: 16*b**2 - 432*b + 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p - 3. Let d be c(2). Let h be ((-10)\/9)\/(6\/(-54)). What is the highest common divisor of d and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 + 5. Let a(d) = 44563*d**2. What is u(a(q))?\nAnswer: 7943443876*q**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -5*o**2\/2 + 5*o + 14. Suppose 2*t - 384 = -374. What is g(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:39 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3845 is divided by 257.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Let b(r) = -4*r**3 - 9*r**2 - 13*r - 13. Let n(p) = 5*p**3 - 2*p**2 - 6*p**3 - 2 - 1 - 3*p. Let c be (6\/9)\/((-1)\/27). Determine a*b(d) + c*n(d).\nAnswer: 2*d**3 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84047857\/792 - -106121. Find the common denominator of s and -1\/1089.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 0.3, -14\/9, 5\/14, -1?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12537 + -12537. What is the fourth smallest value in -84, v, -5, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + j + 0*j + j**4 + (2*j**3 - 2*j**3 - 3*j**3)*(26 - 26 - j) - 2*j**4 - 3*j**4 + 6*j**4 + (1 + j**2 - 1)*(j - 2*j**2 - j).\nAnswer: 3*j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 88 = 3*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25478482 is divided by 103.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19715 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 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (17 + -21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/6*v**4 + 0*v + 1\/6*v**3 + 1\/3*v**2 = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**4 - 14996*p**3*w**3 - 50*p - 9*w**3 + 277 wrt p?\nAnswer: 72*p**2 - 89976*p*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9012 + 28737. Let q = -10225 + c. What is q rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1550863, 0, -2 in ascending order.\nAnswer: -1550863, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (5 - (5 + -10 + 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1221744497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.19972 + -5.2. Round s to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -58, 74, 180, 260?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 89, 12 in decreasing order.\nAnswer: 89, 12, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10047 less than 0.00372?\nAnswer: -10046.99628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 3*s. Let k(n) = n**3 + 4*n. Determine 3*f(h) + 2*k(h).\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:22 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2260\/50 - 2\/10. Let n = p + -31. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 13*u - 20. Suppose -11*h + 120 = 4*h. Let y(v) = -3*v**2 + 20*v + 31. Let q(m) = h*c(m) + 5*y(m). Let l = 30 - 23. Give q(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1886611, 1886638, 1886665, 1886692?\nAnswer: 1886719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17250209\/150 - 115002. Let p = z + -3\/50. Let d = 1.8 + -2. What is the biggest value in d, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 + -77. What is the remainder when (426\/(-24))\/(2\/(-8)) is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 4*z - 7. Suppose -44 = -5*q + 9*q. Let h = q + 29. What is the remainder when h is divided by f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*q + 15*q + 3*q)*(-6*q**2 - 4*q**2 - 2*q**2) - 2*q**3 - 617*q + 0*q**3 + 615*q + 3*q**2 + 1.\nAnswer: -638*q**3 + 3*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) + 5\/(-135)*-6. Let n be (-280)\/42 - -7 - 10\/(-105). Which is the nearest to p? (a) -1\/13 (b) n (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 d when four letters picked without replacement from {d: 6, q: 4, v: 7}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - s**2 - 4*s**2 - 2 - s + (3*s**2 - 2*s**2 - 3*s**2)*(-6 + 3 + 1).\nAnswer: 2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 26 = -d, 5*d - 2*x = 3*x - 175. Let m = -19 - d. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 49) + 35 + -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37971528 + 5926.6?\nAnswer: 37977454.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.95583kg to grams.\nAnswer: 78955.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 7, z: 1}. Give prob of sequence aaal.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 16, -3\/8, -1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-2\/9))*j)\/j**(-1\/9))\/(j**(-15)\/j**(-11)))**(5\/2) assuming j is positive.\nAnswer: j**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-3)\/(-8)*-2)\/(29\/(-1972))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168\/20*(-23)\/138\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 95*s**2 - 575*s - 1125.\nAnswer: -5*(s + 5)**2*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2758, -5430, -8182, -11026, -13974, -17038, -20230, -23562?\nAnswer: -27046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16838 divided by -1\nAnswer: -16838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 50 (b) 1.98 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11558 - -2638. Is 68 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1189*a - 1937?\nAnswer: -1189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-126) + (-87)\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -652 (base 8) to base 5\nAnswer: -3201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 373*q**2*w - 173205*q**2 + 2*q - 536*w wrt w.\nAnswer: 373*q**2 - 536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7734, 30942, 69616, 123756, 193362, 278434?\nAnswer: 378972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w)**(-31) assuming w is positive.\nAnswer: w**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/710486 and -45\/355243?\nAnswer: 710486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 160*w**3 + 2008*w**2 + 8160*w + 10404.\nAnswer: 4*(w + 3)**2*(w + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3*h - 12 - 36*h)*(5*h**2 + 0*h**2 + 3 - 4).\nAnswer: -195*h**3 - 10*h**2 + 39*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7754 (base 10) in base 14?\nAnswer: 2b7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) - 4\/72. Let w be -1*18\/27*(-3)\/(-4). Which is the smallest value? (a) -1\/6 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6734883 (base 9) in base 13?\nAnswer: -99c171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 80500?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 4*l**2 - 7. Let m(y) = -y**3 + 1. Let j(t) = -i(t) - 4*m(t). Let c(g) = 3*g**3 - 5*g**2 + 4. Let o(s) = -3*c(s) + 4*j(s). Factor o(v).\nAnswer: -v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*i + 14, -i = -5*i. Let v = -12 - g. Suppose 0 = v*u + 2*y - 4, u = 2*u - 4*y - 17. Solve 15 = 5*q + u*t, -4*t - t = 4*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 3*t**2 + 2*t**2)*(-3*t**3 + 5*t**3 + 2*t**3).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -610110 or -0.084?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 73*p**2 + 3*p + 6. Let q(m) = 74*m**2 + 2*m + 4. Give 6*q(y) - 4*z(y).\nAnswer: 152*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389882 is divided by 12118?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 254 + -28. Calculate the remainder when g is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j**2. Let o be y(2). Suppose h + 3*m = -0*h - 13, -o*m = -4*h + 28. Let t be h*(9\/(-6) + 0). Are -3 and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11893355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19b (base 13) to base 15\nAnswer: -14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/(((-40)\/25)\/(-4)))\/1. Let d = j + 381. What are the prime factors of d?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -30*b - 6. Suppose 16*i = 11*i. Solve 0 = -i*a - 4*a - 4*y, -3*a + 5 = -b*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + a - 2. Let q(v) be the third derivative of v**5\/20 - v**4\/24 + 2*v**3\/3 - 3*v**2 + 15. Determine -4*q(z) - 7*r(z).\nAnswer: 2*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15 + 0)*40\/(-6). Let w = 235 + k. What is the highest common factor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4678 - 4678. Sort h, -3\/49, 3, 0.3 in increasing order.\nAnswer: -3\/49, h, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 7 + 1. Let h(b) = -b**3 + 7*b**2 + 8*b - 1. Let c be h(8). Let a be (c + 1)\/(-2 + 1). Solve a = -3*g + 8 - y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:29 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30923, -123670, -278249, -494660, -772903, -1112978?\n\"Answer: -30916*g**2 + g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -2566782.4809?\nAnswer: 2566782.8809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 4)*(-t**3 + 3*t**3 - 3*t**3) + 21 + 41 + 22*t**3 - 24*t**3.\nAnswer: -7*t**3 + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 10 - (4 + -3 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4638641 or -3?\nAnswer: 4638641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 + 4766162*j**3 - 11*j**4 - 5 - 19 - 4766162*j**3 in the form r*j + y*j**2 + w*j**4 + p + f*j**3 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14093.5 + 14093. Sort -4, -3.3, o in descending order.\nAnswer: o, -3.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**6 - 302871*y**5 - y**2 + 6*y + 14800?\nAnswer: -240*y**3 - 18172260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p + 0 - 5\/6*p**2 - 1\/6*p**3.\nAnswer: -p*(p + 2)*(p + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*u + 2*r, -12 = -2*u - 4*r + 2*r. Let w(o) = -4*o**3 + 1 + 2*o**2 + u - 10*o**3 - 3*o + 11*o**3. What is w(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(208) + sqrt(208) + 4)**2 + -4 - (sqrt(13) - sqrt(208)*-6 - (sqrt(78)\/sqrt(2))\/sqrt(3))**2.\nAnswer: -4148 + 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + -2 + 2 + -8 + 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -171*a - 81. What are the prime factors of u(-8)?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 37*t + 30 = 48*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 303 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/2 + 33\/8*o - 3\/8*o**2.\nAnswer: -3*(o - 7)*(o - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r - 10. Let t be g(-2). Calculate the greatest common divisor of t and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 5*x. Solve -j = -x*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + 12879\/(-324) + 7*-3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*b = -49*b - 1880 - 696. Solve 51*l - 56 = b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 266524 (base 8) to base 13\nAnswer: 33752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -6, -5717, 1?\nAnswer: -5717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -47. Let s(d) = k*d**2 - 112*d**2 + 50*d**2. Suppose 2*j + 0*b - 5*b = 17, -b = -2*j + 5. Calculate s(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46\/165 - -61\/110. Let k(z) be the second derivative of z + 0 + 17\/6*z**3 + 0*z**2 + t*z**4. Find the second derivative of k(r) wrt r.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -1 + -4 + -3*sqrt(192)*4 + 0)**2.\nAnswer: 880*sqrt(3) + 23257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5109*x**2 - 30842.\nAnswer: -10218*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 6*x = 3*l - 27, 20 = 4*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(245) + 1 + 4 - (sqrt(245) + -6*(sqrt(245) + -3 + sqrt(245)))) + 3 + sqrt(245) + 5 + 1 + sqrt(245) + 2))**2.\nAnswer: -9800*sqrt(5) + 1200600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*a + 202, 5*r + 4*a + 212 + 335 = 0. Let z = 113 + r. Calculate the remainder when 126 is divided by 110*(z\/(-10) - -1).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3269141073 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7434 and 6174.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 83. Let x = u + 611. Let i = -582.0478 + x. What is i rounded to three decimal places?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12615074.85 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 20. Suppose 9 - 45 = 3*x. Let j be o(x). Suppose -3*w = 12, 5*w + j - 4 = y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76\/9 - 74\/9. Let o be (8\/2)\/(4 + (-6)\/1). Let u = 7 - 10. Put u, s, o in decreasing order.\nAnswer: s, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 3. Let d = 13 + 27. Suppose -5*l + d = -0. Suppose o = -o + l. Determine n(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/5, 11\/4, -2, 2\/23.\nAnswer: -2, -2\/5, 2\/23, 0.1, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56799.55 milliseconds to microseconds.\nAnswer: 56799550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57849078?\nAnswer: 2, 3, 7, 1377359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195747, -195734, -195735, -195756, -195803, -195882?\nAnswer: -195999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1637096 - 1637193.99937. Let h = g - -98. What is h rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbh when three letters picked without replacement from {b: 2, a: 1, h: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + -7)\/1*-1966. Let q = z - 1273. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -872 (base 14) to base 6.\nAnswer: -11420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127804300 by -100.\nAnswer: -1278043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 5. Let r = -140 + 144. Suppose -5*a + d - 18 = 0, -r*d + 4 = -8. Sort g, a, -1.\nAnswer: g, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 4*g**2 + 11*g - 4. Let r be z(-8). Suppose -o = 3*o - r. Suppose o*t = 39*t + 76. Calculate the remainder when 111 is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2. Let u be 68 + 15\/(-6)*12\/15. Let b(j) = -u*j - 43*j**2 + 36*j + 30*j. What is b(x(z))?\nAnswer: -43*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5709 divided by -3?\nAnswer: -1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 111*y + 1. Let d(b) be the third derivative of -b**5\/60 - b**4\/24 + b**3\/3 - 3*b**2. Let w be d(0). Is c(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6420287 is divided by 408.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697588 is divided by 1068?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66831.\nAnswer: 3, 22277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -87*k**2. Let n(b) = -33*b**2 - 62*b - 1. Determine n(g(u)).\nAnswer: -249777*u**4 + 5394*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 38 - 58 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3603 < -3604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88272370 to the power of 1\/3, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, e: 7, d: 7, i: 2}. Give prob of sequence ieid.\nAnswer: 49\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 334602 and 2569284.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -6. Calculate the remainder when 24 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 6927214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/175 and 22\/98245.\nAnswer: 491225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4560\/38)\/840*((-63)\/4)\/(-3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 19 + 26*b - 14.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -228 + 223. Let l(i) = -i**3 + 13*i**2 - 3*i + 44. Let p be l(13). Sort t, -2, p, 3 in descending order.\nAnswer: p, 3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 71 - 13 = m - 5*m - 2, -2*m = -10*y - 190 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 6, e: 3, k: 9}. Give prob of picking 2 x.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:34 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3 + 0 = 0. Let u be (-23 - 0) + 0\/q. Let n = u - -164\/7. What is the common denominator of n and 39\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w + 2*w**4 + 1348*w**3 + 5 - 1361*w**3 + 2*w**2 + 10*w - 4*w to q*w**2 + y*w**4 + k*w**3 + a*w + o and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666 is divided by 435?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2695, -5350, -7981, -10588, -13171, -15730, -18265?\n\"Answer: 12*y**2 - 2691*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -7 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g. Let p(s) be the third derivative of s**5\/10 + s**4\/8 - 7*s**2. Let n(m) = 7*m**2 + 2*m. Let i(z) = 3*n(z) - 2*p(z). Calculate i(w(v)).\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -9, 20, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -113*q - 1239. Let c be l(-11). Solve 771*n - 769*n = g - c, 0 = n - 2 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q - 21. What is y(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*r**4\/4 + 106018173*r**3\/2 - 113590917*r**2 + 136309107*r\/2 - 30290913\/4 = 0. Calculate r.\nAnswer: -10096971, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625997835?\nAnswer: 3, 5, 229, 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/578 and 39\/14?\nAnswer: 4046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58 - -27 - (19 - 41)) + -13 - 9.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 n, and 1 p when four letters picked without replacement from yypcpnppyn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32\/(-12)*9\/(-72))\/(1\/4). What is the closest to p in 5\/2, 1\/10, -0.1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**5 + 49*i**4*m + 3*i**2*m + 17*i*m + 8*m - 2 wrt i.\nAnswer: -20*i**3 + 588*i**2*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 215b2b (base 12) in base 9?\nAnswer: 885158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*-2*2\/(-4). Let m(x) be the second derivative of x**3\/6 + 7*x**2 - 35*x. Let a be m(-14). Solve -b*f - 12 = -a*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*k - 138967 = -5*q - 102*k, 0 = -4*q + k + 111197. List the prime factors of q.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2272, -8639, -19252, -34111, -53216?\nAnswer: -76567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = m, x - 4*x - 3*m = 0. Suppose x*v - 5*q + 5 = 0, 2*q + 2 = 3*v + 4. Let c(k) = -k + v*k - k. Let y(f) = 4*f. Give y(c(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 541, 573, 605, 637, 669?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*-6 + 4 + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 11) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 8*v - 25*v + 4*v**2 + 17*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 100103133211?\nAnswer: -100103133230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + 42.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 83 - -105) + -73\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 2 + 2)*(-539 + 645 + 662 + 1162 + 1737) in the form a*f + n and give a.\nAnswer: 7334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42157 (base 9) to base 13.\nAnswer: c892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 540054 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -22. Let r = 14.88 + c. Let a = r + 0.11. Which is greater: a or -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*s - 120, 8*w - 3*w - 218 = -4*s. Let l = w + 47. List the prime factors of l.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189446723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001011001100 (base 2) to base 3.\nAnswer: 212110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40191683 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 1}. Give prob of sequence zj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.709563 months in centuries?\nAnswer: 0.0180913025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194 - 184. Solve m - 13 = -3*b, 4*b - 2*b - d = -2*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 817870*t**3 + 2565305*t**2 wrt t?\nAnswer: 4907220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15034, -11737, -8440, -5143, -1846, 1451?\nAnswer: 4748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 6*p - 48. Let j be f(9). Let b = 721 - j. List the prime factors of b.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 2 - 2 - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -788*i + 650*i + 2208 = 0. Solve 345*a - 361*a + i = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 + 22*h - 45. Let s be i(-12). Suppose -554*k + s*k = 9. Solve -k*u = -12*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12096)\/1104 + (-1)\/(-230)*-10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 1.2. Let j = -6 + 9. Let x = m + j. What is x rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112.082 and 2?\nAnswer: 224.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:24 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 18*o**2. Let c(y) = 2*y**2 + 0*y**2 - 4*y**2. Give c(p(j)).\nAnswer: -648*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -143474 divided by 46?\nAnswer: -3119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 take away 3?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -1)*4 - ((1*sqrt(99) + sqrt(99))\/sqrt(9))**2.\nAnswer: -48 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/6)\/(((-928)\/812)\/((-30)\/35)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phpppphpphhh. What is prob of sequence hppp?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-150)\/((-164622)\/41160 - -4). Round i to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642 = 8*k + 102. Let o be (0 - (-14)\/3) + (-31)\/k. Suppose -3*f = -4*z - 96, -5*f + z = o*z - 160. Calculate the greatest common divisor of f and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(-9)*z)\/z)*z\/(z**(1\/3)*z)*z\/z**(-3)*z*z*z**(2\/11))**(-40\/9) assuming z is positive.\nAnswer: z**(-20920\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 4, y: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1934 is divided by 97?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 (base 7) in base 15?\nAnswer: 1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9*-13\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 3 + (36 - 32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 24779817.5\nAnswer: -7433945.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -20*q**3 - 17*q**2 - 25*q + 2. Let j(i) = 11*i**3 + 2*i**2 + i - 1. Calculate 2*j(v) + l(v).\nAnswer: 2*v**3 - 13*v**2 - 23*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*r - 2137*r + 159327 = -89*r for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -11*j**4\/2 - 4*j**3\/3 + 2*j**2 + 50. What is the third derivative of s(o) wrt o?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 20 = 6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106998 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*r - 104*r = -10. What is the units digit of 769 + (-8 + r)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-330)\/21)\/(-11))\/((-20)\/(-35))*-10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -705*b**2. Let n(o) = -8*o**2. Give n(c(h)).\nAnswer: -3976200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -943, -989, -1035?\n\"Answer: -46*u - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5144)\/(-1) + 102\/34 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 8:33 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34005 = 92*g - 43297 for g.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542114251?\nAnswer: 7, 19, 83, 49109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (130\/4)\/(-5)*4. Let o = -4 - v. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, 5, -0.5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128261588?\nAnswer: 2, 7, 13, 352367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k - 26*k = 7*k + 1218 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 61*k = -65*k + 15, 5*k = q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1530230*a**2 + 2*a + 217453 wrt a?\nAnswer: 3060460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14*u - 554. Let r be g(-42). What is the highest common divisor of 2686 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (54\/(-15))\/(2\/(-30)) is divided by (25\/(450\/252))\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s - 4. Let v be u(2). Solve v*a = a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/10)\/((-16)\/(-30)). Let d = -0.01 + 1.01. What is the third biggest value in q, 4, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59180.52km?\nAnswer: 59180520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5, 4 in decreasing order.\nAnswer: 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((3 - 0) + -3)\/4. Suppose 0 = 2*v + r + 2*r - 3, 4*v - r + 1 = p. Let b(a) = -a**3 + 5. What is b(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 2446665.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71506983, 143013967, 214520951, 286027935?\n\"Answer: 71506984*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3 + 9. Suppose -11 + 80 = -3*h + 5*j, -3*j = 3*h - 51. Solve 4*d = -n - 21, z*d - 2*d - 3*n = -h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28034 + -6.28034. What is the second biggest value in -2\/3, u, 51?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 194*n = 210*n - 36, 0 = -12*s + 4*n + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 and -2 - ((-775)\/30 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1956 and 284109?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 69. Let c(g) = 3*g**3 + 32*g**2 - 5*g + 69. Let x be c(-11). Solve q + 6 = -2*q, x*f - q - j = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 70244.\nAnswer: 351220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2644*z + 200996. What is h(76)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487 = 92*g - 6165 + 488 for g.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17284.20518 to 1 dp.\nAnswer: -17284.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 - (-8)\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.518 - -0.218. Let r = 10 + d. Let f be (-5 - -7) + 2*26\/(-24). Which is the closest to 1\/3? (a) f (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.106 and 15.\nAnswer: 16.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*p + 2285 + 865 = 0, y - 1590 = -5*p. What is the common denominator of -44 and y\/364 + (-8)\/14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -22. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oosks. What is prob of sequence kos?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 388484542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 193236941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5647716 - -130?\nAnswer: -5647566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074016 divided by -6?\nAnswer: -512336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1\/3 - (-60 - -55).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 15946*o = 15945*o + 20, 2*t + 4*o = -30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 309, 308, 307, 306?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -5*k**4\/4 + 2*k**2 - 3*k + 2226. Calculate b(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709, -705, -699, -691, -681?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**3 + 4*v**3 + 7 + 3*v**3 wrt v.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/1287 and 74\/165?\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*q - 113, 2*q = -2*q + o + 131. Suppose 3*t = 68 - q. Suppose 0 = -11*i + t*i - 17. What is the remainder when i is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6261118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 4, -1, -6, 5, 10 in decreasing order.\nAnswer: 14, 10, 5, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkksk. What is prob of picking 4 k?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -154? (a) 1\/4 (b) -5 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -56, -66, -82, -110, -156, -226?\n\"Answer: -j**3 + 6*j**2 - 21*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-10)*(-5)\/2. Which is bigger: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 646, 1413, 2476, 3829, 5466, 7381, 9568?\nAnswer: 12021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -30. Let i(p) = -13*p - 13. Let o(l) = -11*l - 11. Let s(n) = 5*i(n) - 6*o(n). Does 3 divide s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*15\/(-2). Suppose l - 6*l + 10 = a*t, t + 3 = -2*l. Is 14\/8*(t - -1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12+0.039\nAnswer: 12.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-172)\/(-3010)*185\/470 and 13\/1175.\nAnswer: 8225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31767 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3558529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(132)*-2)\/(sqrt(294)*-2 - sqrt(294)))\/(-1*(3*sqrt(396)*1 - sqrt(396))))**2.\nAnswer: 25\/7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4365 - 5612. Which is bigger: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -52. What are the prime factors of 253 - (2*(-2 - -6))\/n?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 5*j - 7. Let o be (100\/30 + -2)*6\/4. Suppose k - 15 = 5*h - 0*k, 0 = h + o*k - 8. What is r(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2397600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-12)*(-57)\/(-190))\/1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -16. What is the second smallest value in 2, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(21) + sqrt(21))*2)\/(sqrt(77)\/(sqrt(11)*1)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 5, c: 4, h: 4, n: 6}. Give prob of picking 1 z, 1 c, and 1 h.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2303 or 2307?\nAnswer: 2303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 224, 343, 468, 599, 736?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -5980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -365976.547 rounded to the nearest one thousand?\nAnswer: -366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656\/(-48) + 13 - 127536\/(-9).\nAnswer: 2, 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -190825302399.0005493 - -190825293080. Let o = -9319 - z. What is o rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = 6*l. Let z = -112 - -114. Find the second derivative of -9*i + i**z + 8*i**4 + 0*i**l - i**2 wrt i.\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -59381 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 154*d. Let q be f(0). Let j = 3 - 1. Solve q = m + j*r - r - 6, -5*m + 4*r = 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) + (sqrt(3) - sqrt(72)\/sqrt(6)) + sqrt(3)) + 5 - (0 + sqrt(17)*1*3*5).\nAnswer: -14*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*l + 111808 - 167487 - 226785. What is the remainder when l is divided by 1024?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36432 times 14.7?\nAnswer: 535550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -0.0496?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4373 + 6319924.\nAnswer: 6324297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -126, -247, -390, -549, -718, -891, -1062?\n\"Answer: d**3 - 20*d**2 - 40*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoozzz. Give prob of picking 1 o and 3 z.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*t + 0*t + 71 = 0, j = 5*t - 23. Let n = 14 + j. List the prime factors of n*(2 + 42 - 1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 150*o**2 - o. List the prime factors of g(1).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -146048287, -146048290, -146048295, -146048302?\n\"Answer: -g**2 - 146048286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5765, -9847, -16643, -26147, -38353, -53255, -70847, -91123?\n\"Answer: s**3 - 1363*s**2 - 4403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292 - -295. What is the biggest value in r, 1, 1\/8, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 29 = 2*a + 2*n - 12, 2*a - 3*n = -9 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2*(-7)\/(-21)) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/(-27) + (-2)\/9. Let m be 2 - (-2 + 3) - -4. Suppose 0 = m*t - 2 - 8. Sort p, -3, t in ascending order.\nAnswer: -3, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5629057.\nAnswer: 7, 17, 47303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -b - 1, -4*q + 8 = -5*b. Let l = 0.8 - -0.1. Let m = l - 0.4. Sort q, m, 1 in descending order.\nAnswer: 1, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -2, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 2*s**2 + 14*s - 29. Calculate u(3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2. Let h(f) = -65701*f - 1. Calculate h(j(d)).\nAnswer: -328505*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*(-9)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Let l(h) = k*h - h**2 + 4*h - 4 - 3*h. Determine l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l**3 - 36*l**2 + 11*l + 34. Let j(h) = 10*h**3 - 35*h**2 + 10*h + 40. Let y(p) = -5*g(p) + 4*j(p). Determine t so that y(t) = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-14 - -9) - 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t - 10*t - 58*t + 1674. What is the highest common divisor of t and 13609?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51139 - -51139.043413. Round k to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39764 is divided by 19828?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 8*m**2 + 6*m - 7. Let b be k(-7). Let r = -27 + 29. What is the closest to b in -0.2, r, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(11\/2)\/(l*l**(1\/2)*l*l*l*l**(-2\/17)\/l*l)*((l**(-1)\/l)\/l**(-2\/3))\/((l*l*l\/(l\/(l\/l**(2\/3))))\/(l**(-2\/7)*l)) assuming l is positive.\nAnswer: l**(-5237\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*j - 133000014 = -j, 5*f - j - 665000038 = 0. Let h be f\/28 + (-14)\/49. Round h to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176195?\nAnswer: 5, 131, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -753 + 748. Which is the second biggest value? (a) -3\/2 (b) o (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 56 = -2*i + 4*i, -3*u = 3*i + 45. Let v = -5 - u. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1655814)\/(-232))\/((-39)\/(-182)). Let g = v + -33308. Calculate the common denominator of 133\/6 and g.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3 = 3*z, -5086*z + 4*n - 5 = -5089*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.6 + 0.4. Let n = v + -4. Let f = 191 + -3627\/19. What is the fourth smallest value in -1\/9, n, 6, f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or -0.072?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/4)*(l*l**(2\/13))\/l)\/(l*l**(-4)*l*l**(-3\/2)) assuming l is positive.\nAnswer: l**(281\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 9:09 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1860519 divided by 620173.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -330 + 379. What is the least common multiple of l and 70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - z + 5 = 0, t + 4*z - 5*z - 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419 divided by -4.\nAnswer: -419\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29b4 (base 16) to base 10\nAnswer: 10676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/7 and 43\/24002624.\nAnswer: 168018368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 34. Let a = z - 8. Let n = 15 - 9. What is the highest common factor of n and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -206202.403 to the nearest 100.\nAnswer: -206200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 233407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 44*i + 4389. Calculate u(-100).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 280.9921 + -281. Round u to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*j + 25628 = -1615*j - 75844 for j.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 10:47 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 2*q - q**2 - 3*q**2 - 3*q**2 to x*q + g + i*q**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -15. Let t = z - -13. Let i be ((-21)\/6 - -2)*t. What is the greatest common factor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q + 7. Let l = -72 + 66. Let p(x) = -6*x**2 - 19*x - 1. Let y be p(0). Let n(g) = -1. What is l*n(a) + y*w(a)?\nAnswer: 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 130 = -9*l. Suppose 15 = -3*b - 5*s, -3*s + 35 = -2*b + 2*s. Let a be 75*5\/b*(-2)\/(-3). Is a equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 2 + (-13 - (-14 - -6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/20 - g**4\/2 - 3*g**3\/2 + 7*g**2\/2 - 2*g. Is z(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 50. Let b(u) = u**2 - 12*u - 26. Let z be b(15). Let w be l(z). Let a = -2 + -3. Sort 1, w, a.\nAnswer: a, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7642967 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316220385?\nAnswer: 3, 5, 13, 1621643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2663738685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*w*z**3 + 5987*w*z**2 + 3*w*z + 3*w + 239*z**3 - 24*z**2 - 47*z wrt w.\nAnswer: 13*z**3 + 5987*z**2 + 3*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 31, -2\/3, 6.5, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Solve u = 5*a - 6 - 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129648261?\nAnswer: 3, 197, 219371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*2 + -1 + -5)**2.\nAnswer: -192*sqrt(7) + 1828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 147606820 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110394 + 175573. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*z**2 - 9*z**2 + z**2)*(791*z - 302*z + 256*z) to i*z + t*z**2 + c + b*z**3 and give b.\nAnswer: -11920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -126065 (base 8) to base 15\nAnswer: -d0e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 0 (b) -0.07 (c) -0.702 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1137 - -1150. Solve 4*l - a - g = -7, 0 = -a - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4737 + -3?\nAnswer: -473a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 + 17\/(357\/49) - -26. Is -212 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.362 and 454753.\nAnswer: 454753.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-15)\/9)*-6. Let h = j - 8. Sort 1, 4, h in descending order.\nAnswer: 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84100*b + 84096*b = -4*r - 8, -b = -3*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*g - 34 = -360*g - 2*b, -3*b + 51 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(216)*-4)\/sqrt(8) + -2*(sqrt(36)\/(sqrt(24)\/sqrt(2)))**2 + -5).\nAnswer: -36*sqrt(3) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -11*p**6\/15 - 14*p**5\/15 - 99*p**2. Find the third derivative of z(y) wrt y.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3797.463189 and -5.\nAnswer: 3792.463189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3393831)\/42)\/(-3 + 15\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137181445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113812 = 1012*n + 731*n - 217*n + 12*n for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -2. Let s = 0 - m. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-8))\/(-7 + (-52)\/(-32)). What is the third biggest value in j, 1, -0.3, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(2 + sqrt(68)*-3 + -5*-2*sqrt(68) + sqrt(68) + 5)*3)**2.\nAnswer: 50400*sqrt(17) + 990225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(2\/7))**43\/((s\/(s*s**1*s*s)*s)\/(s*s*s**(-6)\/s)) assuming s is positive.\nAnswer: s**(495\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203004 by -33834.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((80\/(-50))\/((-14)\/35))\/(((-98)\/(-56))\/(-1))\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*u = 9, 9 = 2*z + 4*u + 3. Let i(f) = 5*f + 2*f - 5*f - 4. What is the units digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**5\/20 - d**4\/12 + d**3\/6 + 677*d. Let m(x) = -22*x**3 + 5*x**2 - 5*x. Calculate 2*m(r) + 10*z(r).\nAnswer: -34*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*f**2 + 5740 + 5756 + 110*f**2 - 11511.\nAnswer: f**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/10)\/(6\/(-20)). Suppose h*u = -73 - 87. Let k be u\/15*(-3)\/2. Sort k, -3, -1 in descending order.\nAnswer: k, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/12)\/((-2)\/(-3) - 1). Solve -h*u + 14 + 1 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.64765 to 2 dps.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90 - 27*t + 51*t**3 + 15*t + 12*t wrt t?\nAnswer: 153*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {v: 1, a: 1, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -6?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 28*h**2 + 12*h - 11. Let o be s(5). Suppose -o*j - 20 = -754*j. Let q(v) = v**2 - v - 6. Calculate q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:11 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 666, 1087, 1774, 2727, 3946, 5431, 7182?\nAnswer: 9199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -296 in descending order.\nAnswer: 2, -4, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 4*j + 87. Suppose -24 = 5*p - j. What is the remainder when ((-935)\/(-10) - -1) + p\/(-2) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -0.04916264?\nAnswer: -0.04916264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 297792401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-120)\/(-36) + 0\/(-1))*(-54)\/(-15). Sort u, 32, -3 in decreasing order.\nAnswer: 32, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 471341, 941447, 1411553, 1881659, 2351765, 2821871?\n\"Answer: 470106*q + 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0 (b) -88 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1111111100011111011 (base 2) to base 11\nAnswer: 327612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 23*w + 136. Determine m(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 223 - 4502?\nAnswer: -429b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 16*w**2 + 18*w - 19. Give o(-17).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6041 + 3248. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -11\/3, 2\/3, 0, 5.5, 7, 28?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, t: 5}. What is prob of sequence ttt?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009222 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 262877613 divided by -93\nAnswer: -2826641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 5 - 0 - (-52 + 41).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4974 plus 733.4439226?\nAnswer: -4240.5560774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**8\/1890 - 2*l**7\/567 + 23*l**6\/3240 - l**5\/180 - 5*l**4\/3 - 15*l. Let u(g) be the third derivative of z(g). Factor u(q).\nAnswer: -2*(q + 3)*(4*q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) - (-27)\/81. Let d(o) = -2*o - 3*o + 4*o + 1. Let p(x) = x**3 + 10*x - 5. Give a*p(m) + 5*d(m).\nAnswer: m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 14*m**2 - 12*m + 14. Let j be q(-13). What are the prime factors of j + -1 - (-27 + -472)?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0899 and -0.5.\nAnswer: -0.04495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12148 and 231580361?\nAnswer: 3037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*f + 105, -6*h + 2*h + 58 = 2*f. Let d = -6 + 4. Calculate the remainder when h is divided by (-6)\/(1\/d*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25034964 to the nearest integer?\nAnswer: 5003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 0*p - 15 - 14\/3*p**3 + 0*p**2. Let l(u) = -2*u. Give l(c(g)).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 1 + 3 + 1151*z + 860*z in the form k + r*z and give r.\nAnswer: 2011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + b - 4)*(-4 + 1 + 2) - b - b + 1700 + 167 to x*b + o and give o.\nAnswer: 1867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (-13600 + 13657)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 - 4*(-5)\/(-20). Let g(m) = -15*m**2 - 13*m + 28. Let d(y) = 7*y**2 + 6*y - 14. Let u(w) = 13*d(w) + 6*g(w). What is the units digit of u(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112\/5 or -70.83?\nAnswer: -70.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1009355 divided by -335.\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 445 - 171c91?\nAnswer: -17184a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 35. Suppose -4*x + x + 1 = 2*j, 5*j + 5*x = n. Put 4, j, 8 in descending order.\nAnswer: 8, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.66 or -6065?\nAnswer: -6065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.7 + 127.7. Let w = b - 100. What is the second smallest value in -1, w, 1\/3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 3*u + 19. Give p(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -5, 3\/4, 2\/27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7814979\/4 < -1953745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -28. Suppose w*j - 175 = 5. Let y = 6 - 4. Solve j = -y*l + 6*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1088\/(-187) + (-2)\/11. Suppose 3*o - 7*o = -20. Let r = o + h. Let p(y) = y**3 - 2*y**2 - y. Determine p(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 1. Let b(w) = w - 1. Let p(y) = -b(y) + m(y). Let i(t) = 2*t - 2. Let x(n) = -n**2 - 3*n + 3. Let s(a) = -6*i(a) - 4*x(a). What is p(s(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -66.6. What is the third smallest value in t, -0.5, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*w - 570 = -2507 - 965 - 2138 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1721\/528 + 37\/11. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02424 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.7 + -23.8. Let d = s - -12. Let x = 1454 + -1453. Which is the closest to x? (a) -1 (b) d (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-2\/17)*n))\/(n**(-11)*n))\/(n*n**(-8\/3)*n*n)**(4\/13) assuming n is positive.\nAnswer: n**(6640\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1474 + -1469. Solve 0 = 5*g + o + 18, -2*g + 5 = r*o + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11363 - -11465. Solve -21*j = 13*j + c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 258 = -0*c - 2*c, 5*g + 2*c = -652. Let j be (-26)\/g*(0 + 10). Let h be (6 - 3) + j + 0. Solve h*z - 10 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u - 6. Let l(v) = 3*v + 3. Suppose -8*z - 30 - 2 = 0. Calculate z*q(y) - 7*l(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*v - 215, 3*n + 0*v - 132 = -2*v. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41551065 is divided by 8485.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (34\/7 + 2\/14)*-1. Let o(b) = -3*b**3 + 8*b**2 - 6*b + 2. Let f(i) = -4*i**3 + 9*i**2 - 6*i + 3. Let v(k) = -4*f(k) + 5*o(k). Give v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 - 8760*o**3 - 52452*o**2 - 78640*o - 34944 = 0 for o.\nAnswer: -2184, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -699873.\nAnswer: 209961.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 40*g**2 + 15*g - 53. Let r be x(6). Is 1479 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.6 and 819308173896?\nAnswer: 819308173886.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 3*m**2 + 3*m**2)*(1835*m + 513*m + 453*m) + m**3 - 2*m + 2*m.\nAnswer: 5603*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.165707 * 0.3.\nAnswer: 1.5497121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*j**2 - 7*j**2 - 218 + 220 to f*j**2 + o + d*j and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -8. Let b(g) = -g**2 - 1 + 4 + 3 - 5. Determine b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 - (-6 + 3)) + -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 - 2*c**3 - 5*c**5 + 5*c**5 - 5*c + (-2*c - c + 5*c)*(248*c**3 - 31*c**4 - 248*c**3).\nAnswer: -64*c**5 - 2*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**5\/10 - z**4\/12 + 8*z**2. Let f be o(-1). Let q(u) = 7*u + 5. Let c(s) = 6*s + 4. What is f*q(x) + 5*c(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 8089052?\nAnswer: -3\/8089052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.84 - -10. Let o = -0.14 - l. Let g = 0.62 - 0.12. Which is the second biggest value? (a) o (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) - (-153)\/18. Let i be (g - -291)*(-438)\/8. Let d = i + 7525. Round d to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3213 + 3?\nAnswer: 3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -2033443221?\nAnswer: 2033443223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -48*i + 19. Let z(o) = -23*o + 9. Determine 6*l(b) - 13*z(b).\nAnswer: 11*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*sqrt(143)\/sqrt(11).\nAnswer: -5*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, -5, 67, -2, 131 in ascending order.\nAnswer: -5, -3, -2, -1, 3, 67, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48430 - 48352 + 27*n**2 + 21*n - 21*n.\nAnswer: 27*n**2 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.5 (b) -2\/7 (c) 0.34 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:37 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928485823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = 2*u. Let l = 0.4 - -0.1. Let b = l + -0.4. What is the third biggest value in u, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8820 and 4410?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -475*x - 9. Suppose 0 = 6*y - 4*y + 10. Let g be k(y). Suppose -s - g = 2934. Round s to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/618560 and -79\/2087640?\nAnswer: 16701120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(1\/(30\/(-45)*1\/2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7640 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*c + 171 - 171)*((-c + 2*c + c)*(2*c + 1 - 1) - 92*c - 24*c**2 + 92*c) to the form b*c**2 + q*c + t*c**3 + j and give t.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13097, -107564, -363971, -863288, -1686485?\nAnswer: -2914532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/a)**(-29\/4))**(-11)*(a*a*a**0)**9*(a\/a**(1\/2))**(-29) assuming a is positive.\nAnswer: a**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4\/4 + 3*b**3 - 5*b**2\/2 + 2*b + 8. Is a(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -6. Which is the nearest to -1? (a) 5 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/4 of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 m when four letters picked without replacement from dmmddd?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72957*q**2 + 72957*q**2 + 14*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 3\/2, -2, -297?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*q - 15, -3*q + 17 - 6 = -h. Suppose 4*s - 5*s = -5*w - h, -4*s + 4 = 4*w. Let i(l) = s + l**2 - 2 + 2 + 3*l. Determine i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16320021 (base 7) to base 16\nAnswer: 182e23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5622.3018ms to hours.\nAnswer: 0.0015617505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:37 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*n - 4. Let q(b) be the second derivative of b**5\/20 + 5*b**4\/12 + 2*b**3\/3 + 2*b**2 + 65*b. What is q(n)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 7*r**2 - 7*r + 3. Let l be y(6). Let t = -639\/4 + 5759\/36. Which is the closest to l? (a) t (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 4)*((-2*r + 3*r + 0*r)*(r + 2*r - 2*r) - 2*r**2 - 4*r**2 + 4*r**2 + 8*r**2 + 0*r**2 + 0*r**2) in the form m*r**2 + k*r + l and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36115 and 1395?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274947531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)\/r*r\/((r**(-4\/3)\/r*r)\/r))**33\/(((r**(-1\/10)*r)\/(r\/(r*r**6\/r)))\/(r*r\/r**(-5)*r*r**(2\/7))) assuming r is positive.\nAnswer: r**(-3683\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 6348*b**3 + 3121788*b**2 + 250009632*b + 4653298368.\nAnswer: 3*(b - 1094)**2*(b + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*1\/10 + 346506\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 38. Suppose -5*d + 35 = -6*p + p, -2*p = q*d - 6. What is the closest to -0.2 in 0.3, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924 = 511*l - 1435*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158900 by -4.\nAnswer: 39725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*y - 91. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -448, -857, -1246, -1615?\n\"Answer: 10*q**2 - 459*q + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v + 175 = 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: Let g(o) = o**3 - 39*o**2 + 74*o + 54. Is 18 a factor of g(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24286032 divided by 2\nAnswer: -12143016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrd when three letters picked without replacement from oqrqqdqqr?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(46 + -19)*((6 - 22) + 9)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyuyyyyyyyuyyyyyuuyy. What is prob of sequence yyyy?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8) + -1 + (-7 - -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 211 and 10.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 182*u**2 - 3382*u + 318. Let d be s(-199). Let m(b) = b + 51. Let t be m(0). Calculate the highest common factor of d and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187504 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 3*g + 14. Let c(w) = 2*w**2 + 8*w + 29. Let z(b) = 3*c(b) - 5*y(b). Let k be z(-7). Solve q - k*v + 17 = v, 3*v = -2*q + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:52 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1050 at most -258386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {l: 2, k: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -27. Calculate the greatest common divisor of 77 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165761.81 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-24) + 50\/12. Solve -5*j - 15 = 2*a + 3*a, 2*a + z = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21924887*b**2*n**2 + 87*b**2 + 83931*n wrt n?\nAnswer: -43849774*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/7))**29*(t\/t**(2\/13))\/t*t*t*(t\/t**(6\/5))\/t assuming t is positive.\nAnswer: t**(9719\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 55. Suppose 32 = 2*z + 5*g + 3, w*z = 2*g - 4. Solve 0 = -4*f + z*j - 2, f + j - 3 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64906868?\nAnswer: 2, 13, 1248209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1300420 + -3?\nAnswer: -1300423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12423545?\nAnswer: 5, 457, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597388263 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -47, -51, -55, -59?\n\"Answer: -4*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16252*k - 16030*k + 33238*k.\nAnswer: 956*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46702?\nAnswer: 2, 19, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4572.423 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-1 + -4 + (-1 + 7 - 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.013 (b) 0.4 (c) 5.7 (d) -1\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p**(-2\/7)))\/(p\/p**(2\/9))*p**8\/p*p**(-5\/2))\/((((p**0\/p)\/p)\/p*p)**(-1\/11)\/(p**(-2\/7)\/(p*p*p**(-3\/5)))) assuming p is positive.\nAnswer: p**(1129\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -4 (c) 10 (d) -0.01 (e) 6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - 4. Let q = t + 49.7. Which is the third smallest value? (a) q (b) 3 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134220323 (base 5) to base 3.\nAnswer: 11222112122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 338303413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*(10 - 2))\/(-2). Suppose -4*d = -2*d - q. Solve -3*t - 5*u - d - 4 = 0, -4*t - 8 = 5*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -15*a - 2. Suppose -2*k = -5*y, 50 = 4*y + 4*k + 22. Suppose -3*m = y*c - 7, 7*m + c - 11 = 3*m. What is r(m)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-10)\/160)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/406 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b01a7 (base 15) in base 9?\nAnswer: 2426064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117541 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 702173181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254 = 4*l + 5*v - 13*v + 3*v, -16*v + 852 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35850 and 3824.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -6. Let l = d + -28.022. What is l rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c1 (base 14) to base 9.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*a - 13, a + 5*o + 15 = 34 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2449 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 - 10\/(-12). Let q = -0.7 + -1.8. Let k = 0.5 - q. Which is the third biggest value? (a) 4\/7 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.0538?\nAnswer: -0.1614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178297?\nAnswer: 7, 25471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33, -116, -255, -450, -701, -1008, -1371?\n\"Answer: -28*k**2 + k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -5, 4, -25, 2, 0, -3 in decreasing order.\nAnswer: 86, 4, 2, 0, -3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h - 6*h = -150 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636968?\nAnswer: 2, 79621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11325?\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2 (c) -1\/4 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0413 + 3.0413. What is the third biggest value in 0.11, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 804*k*l - 18*k*t**3 + 4*l**2*t**2 + 107*l*t**3 - 91839*t**2 wrt l.\nAnswer: 804*k + 8*l*t**2 + 107*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36*(-50)\/(-11550))\/((2\/4)\/(7\/30))?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/39569535 and -1\/336762.\nAnswer: 79139070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + 22 + -25 + 24 - -8.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3))**(2\/105)*(d*(d**(1\/2)\/d)\/d)\/(d\/(d*(d\/((d\/d**(2\/9))\/d))\/d)))\/(d*d\/d**(2\/13)*d*d**(-2\/3)*(d\/(d**1*d))\/d**7) assuming d is positive.\nAnswer: d**(45343\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -194118363 divided by -7189569?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 9*i**2 - 9*i + 3. Suppose -4*m = 4*j - 52, -4*j + 51 = -4*m - 9. Let f = j - 6. Let n be a(f). Sort n, 3, -2 in descending order.\nAnswer: 3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**4\/3 - 2639*n**3 - 25699*n**2\/3 - 7246*n - 3952\/3 = 0?\nAnswer: -1976, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25978 + 7*z - 25991 + 52096)*(-4 - 2 + 5) - 6 + 4*z + 5 - 1.\nAnswer: -3*z - 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one sixths of a hour?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8123 (base 10) to base 4\nAnswer: -1332323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7*k - 7 = 4*k, -5*k + 23 = 4*n. Let b(t) = -303*t - 27. Let x(z) = -101*z - 9. Let w(q) = -6*b(q) + 17*x(q). What is the tens digit of w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 19. Suppose -4 = -3*u + h, 2*u - 5 = 3*h + 7. Suppose u*l - 71 = -2*l + 5*i, 61 = 2*l - 3*i. What is the remainder when l is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6516 and 905?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r + 2. Let j(n) = 3*n + 1. Let a(w) = 5*f(w) - 8*j(w). Let g be a(0). What is the derivative of 1 + 0*t**2 + t**g - 5*t**2 + 2*t**2 wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l)**24 assuming l is positive.\nAnswer: l**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - -137. Suppose -14 = 4*r + i. Let w be r\/(-8) - 2\/(-4). Solve -4 - w = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-1)\/(4\/260). Suppose -i - u = 526. Let b = 854 + i. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/3)\/(6\/50). Let j be 2\/(-1) - -3*4. Calculate the highest common divisor of j and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 5*p**2 + 4*p + 6. Let v be o(-4). Suppose 21*d - 23*d - v = 0. Let t be ((-2)\/118)\/(4 - 3). Which is the closest to t? (a) 1 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0158324 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -114, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15701 or 15709?\nAnswer: 15709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 10:58 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020509102873 rounded to 7 dps?\nAnswer: -0.0020509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43351773.\nAnswer: 3, 103, 140297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -15*q - 5 + 1\/2*q**2. What is x(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3 - 13. Suppose f + u*f = -42. Sort 2, 5, f.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + -172. Sort -0.3, x, -0.4 in ascending order.\nAnswer: x, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -2*d**2 + 0*d**3 - 63*d - 1\/12*d**4 + 0. Let w(i) = -2*i - 3*i + 11 + i. Give x(w(r)).\nAnswer: 8*r - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10221002221 (base 3) to base 12\nAnswer: 38921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 682 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -227 - 20*t**2 - t - 231 + 687 - 226 in the form s*t + p*t**2 + n and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -4*l + 26\/3*l**2 + l**3 + 50. Factor s(r).\nAnswer: (r + 6)*(9*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**7\/28 + 2*g**6\/5 - 21*g**5\/40 - 20*g + 10. Let b(w) = 0. What is w?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - y - 11*y to the form w*y + s and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 38*34\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -594.770049 to 0 decimal places.\nAnswer: -595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*y**2 - 1652*y - 257?\nAnswer: 4*y - 1652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 34*z - 26*z - 1 in the form v*z + b and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.75 - -3.7529. What is u rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Let t = -3 + g. Let x = t - 0.3. What is the biggest value in -2, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 301682 and 1292?\nAnswer: 603364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 91, 96, 103, 112?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 404637391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 24*x**2 + 7*x - 91. What is the units digit of f(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 + 481*d + 992. Calculate o(98).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4130\/101185 - 6*426\/196?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*l - 199 = 44, -5*l + 219 = 4*t. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1485)\/(-60))\/(-3 + 102\/32). Find the second derivative of x*n**3 + 88*n - 47204*n**2 + 47204*n**2 wrt n.\nAnswer: 792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32a30 (base 14) to base 7.\nAnswer: 1020560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/480 - 49*t**5\/240 - 575*t**4\/96 + 625*t**3\/24 + 3181*t**2. Find m such that u(m) = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -231 in 117\/2, 0.2, 12, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbtbbbbbbbbbbbb?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*((-6)\/(-4) + -1). Suppose -3*z = 3*l + 9, 2*z - 5*z - 19 = -2*l. Let m(t) = -3*t + 43*t**2 - 80*t**l + 2 + 38*t**2. What is m(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*t + 155 = -1679. What is the nearest to -0.7 in 0.4, 0.5, t, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) - (-2)\/12. Let r = 107 - 106.9. Let u = -35.064 - -0.064. Sort 2\/5, u, r, w.\nAnswer: u, r, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14238113 = 61*x - 174*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 1. Suppose 46 = 5*w - v, -12 = -2*w + 4*v - 2*v. Calculate the remainder when y is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.2929829 to two decimal places.\nAnswer: 11.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 507 + -303. Let h = v + -206. Let w = 6 + -8. Is h greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 63876?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.233303 and -0.4.\nAnswer: -0.166697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10\/10)\/(2\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 305800349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*f + 2*f - 2*f**2 + 0*f + (5 - 2 + 0)*(4*f**2 - f**2 - 4*f**2) to the form b*f**2 + k*f + j and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 8 + (-1 + 2 + 0)*(-1 + 7 - 3))*(1 - 1 + 2*y + 1 + 2*y - 1 + (1 + 0 + 0)*(2*y - y + 0*y) + 2 - 2 - 2*y).\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 3795.8\nAnswer: 189.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75871 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 remainder when 75465 is divided by 276?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 10\/13, -0.5?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 17*h + 12936. List the prime factors of h.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 2 + 2)*-1. Put 37, -5, j, 3, 5 in decreasing order.\nAnswer: 37, 5, 3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, b: 3, f: 3, p: 2, j: 2, x: 3}. Give prob of picking 1 f, 2 p, and 1 x.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 25773360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*y - 1910 = 0, -5*g + 3*g + 1910 = y. Suppose 3*x - g = -x - p, 460 = 2*x + 4*p. What is the common denominator of 0 + 5\/(x\/388) and 23\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g. Let t(u) = 16318*u**2 + 3*u - 2 - 3*u + 12 - 16317*u**2. Give s(t(x)).\nAnswer: 6*x**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 102 - (0 - -1) - (-97 + (251 - 148))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/5)*s)\/(s**(-2\/3)\/s*s))\/(s**7\/(s\/(s*s**8\/s))))\/(((s*s**(-2))\/s)**(3\/5)\/(s\/(s**0*s*s)*s**6)) assuming s is positive.\nAnswer: s**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15294837564814 take away 0.3?\nAnswer: -15294837564814.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700 divided by 140.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1306*1\/(-28) - 1\/(-2). Let t = 47 - p. Sort 2, 1\/4, t, 0 in ascending order.\nAnswer: t, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7245\/15 - (-1 - -11). Calculate the greatest common factor of 43 and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21223 + 102010?\nAnswer: 20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 90\/20 + (-2)\/4. Suppose -q*o + 79 = 27. What is the greatest common divisor of 65 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1648076.1 to the nearest 10000.\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/20 - 5*k**3\/6 + 37*k**2. Let z(f) = f**2. Give -y(m) + 2*z(m).\nAnswer: -m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 4, f: 1, h: 4, s: 9, n: 1}. Give prob of sequence fe.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q + 2*q)*(-83500 - 83427 + 167028 + 15*q).\nAnswer: 15*q**2 + 101*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1203334, 1203343, 1203350, 1203355, 1203358, 1203359, 1203358?\n\"Answer: -n**2 + 12*n + 1203323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 9572*n + 19160.\nAnswer: -4*(n - 2)*(n + 2395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 4\/7, 5, 1\/2 in descending order.\nAnswer: 5, 4\/7, 1\/2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/60 + 13*g**4\/24 - g**3 - g**2 - 28. What is t(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111822, -223639, -335456, -447273, -559090?\nAnswer: -670907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 25*s**2 + 55*s - 18. What is z(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 6188013?\nAnswer: 6188012.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 minutes before 6:35 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 438*(-6)\/(-3510) + (-8)\/10. Which is the second biggest value? (a) 1\/4 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 137.42 and -0.2.\nAnswer: -27.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from wwwwgskwgwoggbgbs.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -701.5047734 to one dp.\nAnswer: -701.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*b - 33*b - 33*b + 92*b - 7 to the form q*b + i and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(288)*-1 + (sqrt(288) + 0)*-3)**2.\nAnswer: -576*sqrt(2) + 9234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-21)*-3*3\/2*(-172)\/(-258)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118325 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000010001 + -101001?\nAnswer: 10101111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*((-12)\/9)\/1. What is the tens digit of (-1 + q\/(-6))*39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4609290 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.23 + 1.1. Let w = s + 0.129987. What is w rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 2*k**3 - 2*k**4 + 4*k**2 - 3 - 2*k**3 - 2*k**2 to t*k**2 + q*k**4 + s + g*k**3 + v*k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k + 1. Let j be s(-2). Suppose j*c - 10 = 2. Let w = -9 - -7. Sort w, c, 3 in decreasing order.\nAnswer: c, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2. Suppose 2*u - 6*u + 12 = 0. Let g(a) = -7*a + a + u*a - a. Determine q(g(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -975.09 - 11.91. Let v = -987.00000709 - c. What is v rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*s**4 - 9*s**4 + 7*s**4)*(-2*s + 0*s + 4*s).\nAnswer: 22*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41769, 41758, 41741, 41718, 41689, 41654?\nAnswer: 41613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*-3*1*(sqrt(1300) - ((0 + sqrt(1300))**2 + sqrt(1300))) + (-4*(4 + (sqrt(1300) - sqrt(1300)*-2) + (-1 + sqrt(1300))*1))**2)*-1.\nAnswer: 19200*sqrt(13) + 1781720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49267 - 1402 = -23*a. What are the prime factors of a?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/3 - (1\/(-4))\/((-93)\/(-124)). Let a be (8\/(-642))\/(22\/(-33)). Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-16))\/(((-4)\/(-192))\/(20\/420)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -3*c**3\/2 + 5*c**2\/2 - 35*c. Let o be l(-2). Let i(f) = -o*f + 49*f - 21*f. Let k(n) = -4*n**2. Determine i(k(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 4:08 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g. Suppose g*y - 4*y - 8 = 0. Let u(k) = -2 - 20*k + 44*k - 22*k + 2*k**2 + 1. Calculate u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*w - 44. Suppose 4*i + 8 = 5*j - w, 2*i - 18 = -2*j. Suppose l - 2*u + 4 = 0, 0*l + j = 2*l + u. Calculate the least common multiple of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9276980*f**3 + 6836450?\nAnswer: 27830940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 12942*i**3 + 12940*i**2.\nAnswer: 2*i**2*(i + 1)*(i + 6470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.36 > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -23*l + 15. Solve c = -l*h - 17, 4*h - 2*c + c = -19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 414047868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 538836555 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - 3*i**3 + 4*i**3)*(-2*i + 11*i**2 - 2 + 7*i**2 - 23*i**2).\nAnswer: -5*i**5 - 2*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2050554543 - -13?\nAnswer: 2050555000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 22932002.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10731726371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*d = 2402 - 1504 + 1682 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/4)\/(3*(-1)\/(-3)). Sort z, 3, -1 in ascending order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhddddddddhd. What is prob of picking 2 d and 1 h?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(175)*-2 - sqrt(175)) + 0 + sqrt(175) + -2 + -4)**2.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*1 - sqrt(19) - sqrt(19))*3 + sqrt(19) + -2 + sqrt(19)*-2)**2.\nAnswer: 16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/84 + 38*c**3\/21 - 74*c**2\/7 + 276*c - 2. Solve b(z) = 0 for z.\nAnswer: 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uudddotduiddzzi. Give prob of sequence zzo.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -609.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(2 + 485\/10). Let p = q + -59. What is the smallest common multiple of 18 and p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5\/3, -5\/3, -12\/5 in decreasing order.\nAnswer: 5\/3, -1, -5\/3, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -10*l + 2260. List the prime factors of l.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**2 - 178*x - 698. Let l be t(-4). Solve -16*p = 26*p + l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8832 + 8849. Which is the closest to 2? (a) -1\/4 (b) i (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 16*j**3 - 4*j**2 + 7*j + 7. Let z(o) = 15*o**3 - 3*o**2 + 6*o + 6. What is 5*l(r) - 6*z(r)?\nAnswer: -10*r**3 - 2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 11:59 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyr when three letters picked without replacement from {o: 2, v: 5, h: 2, r: 1, j: 2, y: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -2 - (0 - 2 - 33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1067, -2360, -3675, -5024, -6419, -7872, -9395, -11000?\nAnswer: -12699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - 115969.0252?\nAnswer: -115991.0252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5693, -5667, -5641?\nAnswer: -5615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 + 19*g - 20 = 0. Calculate g.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -331.7 and -0.05.\nAnswer: 16.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:53 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**4 - k**3\/3 + 5*k**2. Let r be f(-10). Is (-4)\/8 + r\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -9875908695.\nAnswer: -9875908695.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + -22 - -27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(44)*6)\/(sqrt(196) + -1*sqrt(196)*5))**2.\nAnswer: 891\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r + 26. Let b be i(3). Suppose 0 = -5*n + p + 28, 0 = 7*n - 3*n + b*p - 14. Suppose -n*l + 643 = 158. List the prime factors of l.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-5))\/(((n**(-2\/3)*n)\/n)\/n)*((n**(-1\/3)*n)\/n)**(-9)*((n*n**(-5\/3))\/n**(-4\/5))**44 assuming n is positive.\nAnswer: n**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**6\/240 + 257*a**5\/40 + 66049*a**4\/16 + 16974593*a**3\/12 - 789*a**2. Determine f, given that g(f) = 0.\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214679 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: Collect the terms in 1 + 0 - 30088*i + 30103*i - 1.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1562 and -0.059621.\nAnswer: -93.128002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 1011*c**4 - 3039*c**3 - 3041*c**2 - 1014*c.\nAnswer: c*(c - 1014)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 8*b**2 + 1. Suppose -15*q + 9*q = -18. Suppose 2*n + 28 = -q*s, s + 28 = -0*n - 3*n. Calculate c(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-6)\/10)\/((-6)\/(-30)). Suppose m - 42 = -b, g*m = -3*m - 3*b + 210. Let r be m\/12 - (-5)\/(-2). Let l(d) = -29*d**3 - 2*d**2 + 1. Determine l(r).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -76. Suppose -n + 2*n - 6 = -t*g, -3*g + 4*n = -22. Let v(o) = -8*o + 3. Let m(p) = -p. Let b(l) = -3*m(l) + v(l). Give b(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**2 - 4*h. Let p(s) = 3*s**2 - 2*s. Determine -3*b(a) + 7*p(a).\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 17*m - 13. Let y(a) = 2*a**2. Give i(y(j)).\nAnswer: 34*j**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*o + 19, 4 = 4*o - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**6 + 32*l**4*z**3 - 25240*l**2*z**3 wrt l.\nAnswer: -360*l**3 + 768*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -730, 7, -4, 5, 264, 1 in ascending order.\nAnswer: -730, -4, 1, 5, 7, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*d + 58*d = -105. What is the first derivative of -56*c + 57 + d - 4 - 8 wrt c?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 k, and 1 e when four letters picked without replacement from kkknkkdkkkekk.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 78?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.82 - 2.12406317?\nAnswer: -3.94406317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (402 + 46*k**2 - 402)*(1518*k - 109*k - 282*k - 522*k).\nAnswer: 27830*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 6*q + 52. Determine k(9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240 + 240 - 8*d**2 - 5*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*h - 89*h + 550. What is the highest common divisor of h and 2706?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 7. Let u be s(-4). Suppose -5*q = -2*w - 238, 2*q + 0*q = u*w + 112. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 + 8*b + 2. Let r(y) = 14*y**2 + 24*y + 6. Let m(g) = 4*r(g) - 11*u(g). Let q be m(-8). Suppose q*w - 2 = -0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:59 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9*n = 4*c - 2458, -3*c - 484 = -n. Let t = n - 111. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*83.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {l: 1, v: 1, y: 1, f: 2, q: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-28)\/6)*9. Let s be (-6)\/o - (-48)\/70. Let l(r) = -r - 7. Let x be l(-7). Is s >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) -3 (c) 1\/15 (d) 0.1 (e) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 145370753 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-16)\/(r**(1\/3)\/r*r) assuming r is positive.\nAnswer: r**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffttfffftffftt. Give prob of sequence ftff.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 408337659 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17953980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.814536nm?\nAnswer: 0.0000006814536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*r + 2. Let m(v) be the second derivative of -1\/168*v**7 + 0 - 1\/48*v**4 + 1\/120*v**6 + r*v**3 - v + 0*v**2 + 1\/80*v**5. Factor m(p).\nAnswer: -p**2*(p - 1)**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 13*o**2 + 9*o + 59. Let b(h) = -9*h**2 - 100*h + 2. Let m be b(-11). What is the units digit of r(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p - 3. Let h be d(-2). Suppose -h*f + a + 211 = -152, -5*f + 345 = 5*a. Suppose z + z - f = 0. What is the highest common divisor of z and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 2*l - 130. Suppose -9*f + 10*f = 5. Suppose 4*z = 3*u + 96 + 46, -f*z + 2*u = -181. What is the remainder when z is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 40 + -35 - (33 - 19)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 4\/9 (c) -0.04 (d) 0.04 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 10) to base 13\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378 + 381 + 26630*b**3 + 383 + 386 - 1526.\nAnswer: 26630*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.167 - -0.667. Sort a, -2, 0.68.\nAnswer: -2, a, 0.68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.023, 3, 1114, 29, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13056121 is divided by 63073?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = y, y + 5 = -0*y + 2*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3179 divided by -4?\nAnswer: -3179\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*b + 19, 2*b - 5*x - 15 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3514522 to the power of 1\/2, to the nearest integer?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {f: 7, m: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/3)\/(14\/(-12)))\/((-77004)\/1302 - -58)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1417, 1\/6, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.26 at most as big as -291080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 629315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 495 + -496. Let v = 12\/43 - 118\/731. Which is the nearest to i? (a) 7\/3 (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*s + 19 = 0, 17*s - 7 = -w + 22*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/4 (c) -822 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 13*y + 79. What is k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*t*x**3 - 65*t*x**2 - 5898*t*x - 3*t - 14*x**3 + 2*x**2 + 20*x - 2 wrt x.\nAnswer: -36*t*x - 130*t - 84*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, -2\/7, 2\/5, 760, 1\/10, -7\/5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*f**3 - 18*f**3 - 2 - 118*f**4 - 14*f**3 - 20*f**3 as b*f**2 + q*f + s*f**3 + n*f**4 + w and give n.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2288)\/(-528) + (-1)\/3. Put -3, -308, h in ascending order.\nAnswer: -308, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -122. Let c = -113 - v. Suppose c*u - 946 = 539. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -18. Let t be -6 + (-1 - -2)*1. What is the remainder when 9 - t\/((-15)\/(-6)) is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208696779 divided by -47?\nAnswer: -4440357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**6*y*(y**(-4)*y)\/y)\/(y\/(y*y\/(y*((y\/y**(-2\/7))\/y)\/y)*y*y*y))**41)\/(((y**(-5)\/y)\/y**6)\/(y\/(y\/(y\/(y\/(y**0\/y))))*y)**(15\/4)) assuming y is positive.\nAnswer: y**(1178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 + (-1 - -1 - 11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 2*n - 5. Let j be a(-4). Suppose j*c = -u - 2*c + 64, -2*c = u - 58. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k + 3*k + 2*k + (0 + 2 - 1)*(-23 + 12 + 0)*(2*k + 2 - 2) - 2*k + k + 3*k to the form p*k + g and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from pvvppppppppppppppvv?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-24))\/((-13)\/39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1519*l**2 + 14391 with respect to l.\nAnswer: -3038*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from {h: 1, z: 5, y: 12}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/187 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 777 + -777.3. Let y = -0.4 - 1.6. Let r = y + 3. What is the biggest value in s, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15\/4 of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 3339 = 973. What is the highest common divisor of t and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {k: 1, l: 1, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.377112131 to 3 dps.\nAnswer: -3.377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5670 plus 1?\nAnswer: 5671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1736 - 1?\nAnswer: -1737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/18 + (-253)\/69. Let a be (-7 - 2\/g*15)*1. Let n = 1.5 - 1. What is the nearest to n in -5, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 2*o**2 - 3*o + 1. Let v(l) = 9*l**3 - 3*l**2 - 3*l - 11. Calculate i(k) - v(k).\nAnswer: -8*k**3 + k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196 = -428*n - 3084 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115484023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0646 + 2.0744. Round r to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, t: 4, s: 5}. What is prob of sequence isi?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-33) - (-464)\/3696*-7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**6\/40 + 3*h**5\/20 - 2*h**3 + 11*h**2 + 41. Let i(v) be the second derivative of m(v). Factor i(u).\nAnswer: -3*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16040 = -4737*c - 70100 - 40680 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/62)\/2*-19*(-3)\/(-114)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1095 + 1093. Let a(q) = -14*q - 6. Let v(z) = -13*z - 4. Let h(k) = c*a(k) + 3*v(k). Let f(x) = x + 0*x - 4*x. Give h(f(m)).\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.28 + 2.72. Which is the third biggest value? (a) r (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-3 + 48\/20). Put -5, u, -1\/12 in increasing order.\nAnswer: -5, u, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let w(g) = 12*g - 24. What is n(w(i))?\nAnswer: -144*i**2 + 576*i - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(51\/(-6)) + 14265\/17 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 350220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5656408 to the nearest integer?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrrrrbbbb. Give prob of sequence bbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 + 28. Let o = y + -170. What is the nearest to -1 in -2\/15, 1\/5, o?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3574*u = -805*u + 3739*u + 60298 + 56846 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 109 + 11. Let g = w - -123. Let u = 95 - g. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 - 2*z - 4. Let t be r(-2). Let u = 20 + t. Solve 0 = -0*q - q - 2*a - 7, 17 = q - u*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 283 in -1\/3, -2\/5, 1, 0.17843, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqnqrevkkeqqv. What is prob of picking 2 q?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -4 + 0*k**2 + 0*k - 2\/3*k**6 + k**3 + 0*k**4 + 0*k**5. Find the third derivative of h(x) wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 + -0.18. Which is the closest to 2\/9? (a) -0.07 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55153 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 10307*b**2 + 3 - 4 + 14343*b**2 to z + t*b + k*b**2 and give k.\nAnswer: 4036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 - m. Let p = 5 - 2. Suppose -4*c + 5*c + 2 = 0, 11 = -5*h - p*c. Let a be n(h). Let j(l) = l**2 + 3*l - 5. What is j(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:59 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*o - 2079984 = l, -1560008 = -3*l - 2*o. Suppose -4*p + l = -0*p. What is p rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(((u\/(u*u**(26\/5)*u))\/u*u)\/u*u))\/(u*u**21) assuming u is positive.\nAnswer: u**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3778784 is divided by 1043.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 6:16 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = -f - p, -1 = -2*f + 3*p. Let b(g) = -g**3 - 4*g**2 - 4. What is b(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/2890 + (-24510)\/1020?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197294?\nAnswer: 2, 3, 7, 29, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 26\/319647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from avsaset.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3130 + 25537?\nAnswer: 28667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 - 9947*t - 37120252\/3.\nAnswer: (t - 31037)*(t + 1196)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -48, -147, -328, -615, -1032, -1603?\nAnswer: -2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 56 + (-1 - 5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91046.6ml in litres?\nAnswer: 91.0466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) -1 (c) 721118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiibiiibbiiiiibii. What is prob of picking 2 b?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027811596 rounded to 7 decimal places?\nAnswer: 0.0000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12573968134 rounded to the nearest 100000?\nAnswer: 12574000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 + -94. Suppose 5*h - 5*j = w, h + 10 = 3*j + 2. Solve -3*k - 28 = -7*k - h*y, 2*k - y - 8 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 0 + 0)*(0 + 0 - 2) + 3*z - 6*z + 0*z - 7*z - 3*z + 5*z - 11 - 2*z + 14 - 11 in the form m*z + n and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7835958 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8324, -16644, -24960, -33272, -41580, -49884?\nAnswer: -58184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let z(d) = -139581881*d. Calculate z(l(g)).\nAnswer: -279163762*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195*h**2*q**3 + h**2*q**2 + 348*q**3 wrt h.\nAnswer: 390*h*q**3 + 2*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.69 times -0.04\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 565874?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700892 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2124334142 - -31?\nAnswer: -2124334111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9700613342439 + 0.4?\nAnswer: 9700613342439.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 6 - 6)*(5*q**2 - 4*q**2 + q**2 + (-3 - 1 + 3)*(4 + q**2 - 4) + 2*q**2 + 0*q**2 + 0*q**2).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 40 = 85. Let z be v\/(-6) + 2\/(-12). Let j be 3\/2 + 74\/z. Solve -4*h = h - j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 8:43 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*f - 586, -4*w + f = 244 - 1371. Suppose -w*a + 280*a = -57621. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13760\/2280 - (-12)\/(-2). Sort a, 0.5, -2\/3 in increasing order.\nAnswer: -2\/3, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Let k be 1 - -56 - r\/(-1). Let t = 1770 - 1748. What is the greatest common factor of t and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 113 = 92. Suppose -3*h = -h - j*n - 15, -3*h + 33 = -n. Calculate the remainder when 14 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u**(-1\/5)\/u)\/(u**(1\/4)*u)**(-4\/13))\/(u\/u**(3\/4)*u**(-3\/4)\/u*(u\/(u\/u**3))\/(u\/((u*u**2)\/u))) assuming u is positive.\nAnswer: u**(-431\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 + 11*x - 2. Does 46 divide b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 1 - ((40 - 11) + -20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 4\/3*h**3 + 0*h**2 + 0*h + 1\/60*h**5 - 1\/12*h**4 - 3. Let w(i) be the third derivative of v(i). Give w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/503 or 0?\nAnswer: -39\/503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-3)\/(-45) - 0. Suppose 3*s + 10 = -4*h - 2, h - 4*s = -3. Which is the second smallest value? (a) 3 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 2*x - 5300 = 28*u, -x = 5*u - 5315. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*n - 68 = 0, 2*u + 3*n - 48 = -8. What is the greatest common factor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) 2 (b) -7 (c) 1\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -97406 rounded to the nearest 1000?\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i, 4*s = -s + i - 6. Let c = -256567\/104 + 2467. Which is greater: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hluuhlluulu. Give prob of sequence hu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 26*d - 16. Let n be k(-11). Suppose m = y + n, -55 = -2*m + m + 4*y. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 + 5*k**5 - 5*k**5 - 2*k**5 + k**5 - k**5 + (-k**2 + 0 + 0)*(-1 + k**3 + 1) + 4*k**5 + 3*k**5 - 6*k**5 - 125 + 4*k**5 + 6*k**3 + 127 + 6*k**3.\nAnswer: 3*k**5 + 12*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1196026212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f*f\/((f\/(f*(f\/(f\/(f\/(f*(f\/(f*f*f\/((f*f**(-8\/9)\/f)\/f))*f)\/f))))\/f))\/f*f)))*f*f**(-2\/17)*f)\/(f**(1\/4)*f*f)**(-7) assuming f is positive.\nAnswer: f**(14395\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w - f - 11, 2*w = 4*f - 52. Let b be ((-2)\/5)\/(w\/40). Let a be (b + 8)*-15*6\/(-27). Which is greater: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x = 58*x - 476. Let b = x - -268. Suppose 0 = 4*m - 9 - 39. Calculate the greatest common divisor of b and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/(-68)*44\/3. Put -4, v, -3 in descending order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2869.\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167683 is divided by 317.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -11*l**5\/5 + 8*l**3\/3 - 3. What is the third derivative of u(k) wrt k?\nAnswer: -264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let j(z) = z**2 + 38*z - 5. Let w(s) = -3*g(s) - j(s). Let t be w(-41). What is the greatest common factor of 4 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88279278 divided by -165317.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 166 = 2*d, 0 = 4*m + 5*d + 2 - 153. Suppose -22*j + 143 + 451 = 0. Let b = j + m. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 572 - 571. Let t = 59 + -130. Let c = t + 41. Is r < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -587530*j**4 - j**3 + 212*j**2 - 7*j + 89?\nAnswer: -14100720*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2 - (-1 - (4 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1192 divided by -4\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.58 - 6.02. Let z = l + 6.482. Let x = z - -0.158. What is x rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 3*i**4\/4 + 5*i**3 + 6*i**2 + 17. Determine y so that a(y) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-12)\/(-5 + 1))*-1. Suppose 18 = 4*u - g*p + 2*p, -p = -4*u + 17. Factor u*l**3 + 8\/3 + 8*l + 26\/3*l**2 + 2\/3*l**4.\nAnswer: 2*(l + 1)**2*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28738 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 1\/7, -0.2, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 440, 661, 894, 1145, 1420?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -2 + 63\/2*(-26)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/(-15) + 1*86. Suppose 4*a + 17 - w = 0. Calculate the remainder when 71 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 623276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 187, 29, -435, -1307?\nAnswer: -2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 - (36 - 95) - (0 + 59 + 0).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 - 8\/124) - (-208)\/4464.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4163 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -3*i + 117. Let f = -59 - i. Let s be (20\/(-12))\/(f\/24). Solve -s*g - 3 = 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = 4*h + 72. Solve -3*f + 3*p = -2*f + 6, 0 = 2*p - h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.022 (b) 5\/12 (c) -586\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 799\/255 + (-2)\/15. Suppose 3*k - 7 = -4*v - 10, -34 = -g*v + 5*k. Solve -f = -v*f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1432 (base 5) to base 8\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 4*h - 5, -8*d = -3*d - 3*h - 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagig. Give prob of picking 1 i, 1 g, and 1 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*q**2 - 54*q - 23*q**2 + 45*q**2 as a + p*q + h*q**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -723 - 4.19?\nAnswer: -727.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.17+5.12\nAnswer: 5.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:22 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29356, 29371, 29398, 29443, 29512, 29611?\nAnswer: 29746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -34726*c + 11. Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-210)\/(-36)))\/(3\/49*(-217)\/(-62)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 21. Suppose 0 = -4*t + 16, 36 + z = 2*h + 5*t. Solve -3*v + 0*v - h = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 3*m + m + (135 + 67 - 109)*(-21*m + 11*m + 5*m)*(-2 - 1 + 0) to the form x*m + i and give x.\nAnswer: 1393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 63 = 5*v, 5*m = -3*v - 26 - 15. Let o(t) = -t**3 - 6*t**2 - 2. Is o(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2573 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i - 4*s = 25*i + 2, 2*i - 2*s - 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 215\nAnswer: 12\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.326 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-10) - 1\/((-1)\/17). Solve -5*n - f = 3*f + g, 0 = 4*n - 3*f - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.882 or -10795?\nAnswer: -1.882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.5254 + -18.303. Round a to 2 decimal places.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -784*z**4 + 6*z**2 + 38*z. Let k(l) = 262*l**4 - 2*l**2 - 13*l. Let y(x) = -2*d(x) - 7*k(x). What is the third derivative of y(t) wrt t?\nAnswer: -6384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*p + 0 + 48*p - 145*p - 2 + 50*p + 220*p**3 to the form w*p**2 + m*p**3 + f*p + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 709760 and 283904?\nAnswer: 1419520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93302.5 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.541115 to 3 decimal places.\nAnswer: 0.541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 minus -42769884?\nAnswer: 42769883.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*l**3 - 51*l**3 - 49*l**3 + 68*l**2 - 48*l**3.\nAnswer: 6*l**3 + 68*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 13) to base 2.\nAnswer: -1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243844906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Let n(j) = 0 + 4 - b*j + 6*j**2 - 4. Let l(r) = -r**2 + r. Let h(w) = -3*l(w) - n(w). Let u(z) = 2*z. Give u(h(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Let r be (266\/(-35) + 8)*(24 + -14). Which is the nearest to 135? (a) -0.3 (b) -0.2 (c) r (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -2dcf?\nAnswer: -2dd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/14)\/(1326\/23205). Sort -8, -2, 0, 12, a.\nAnswer: -8, -2, 0, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256933758?\nAnswer: 2, 3, 42822293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3218562g in micrograms?\nAnswer: 321856.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-7)*p)\/p)\/((p\/p**(-2\/11)*p)\/p))**(2\/7)*(p**(-2\/13)*p\/(p**5*p))\/((p*p*p*(p*p**3*p*p)\/p*p)\/(p**4\/p)) assuming p is positive.\nAnswer: p**(-13505\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-200)\/(-24)*((-6)\/(-5) - 0) and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 30*c**2 + 39*c - 7. Let p(o) = 15*o**2 + 23*o - 4. Calculate 5*p(t) - 3*y(t).\nAnswer: -15*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + 19. Let g be 2\/(-9)*(-21)\/f. Let y = -149\/2 - -74. What is the second smallest value in g, 1, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 7. Let t = -1 - z. Determine r, given that -3*r**2 - r**2 + 2*r**2 - r - r**t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 17 + -22.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.17, 126\/89, 5, 1\/11 in increasing order.\nAnswer: -11, -0.17, 1\/11, 126\/89, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 8. Let o(z) = 4*z + 10. Let j be o(5). Let s = -7 + j. Calculate the remainder when s is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, f: 1, d: 4, o: 8}. Give prob of picking 1 a and 1 o.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 2:18 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 10:01 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 18 = -15*x. Let h be (8 + 2)*-1*(-1)\/x. Sort h, 1\/6, -3 in ascending order.\nAnswer: h, -3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 90*d + 2. Let j be v(3). Let r = -268 + j. Solve 3*s + 4*y = 7 - 2, r*y + 5 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + l - 3*l**2 + 0*l**2 + 0 + 5 - l**3. Let g be j(0). What is the highest common factor of 2 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.142?\nAnswer: -0.0426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 - 41. Let s = w + -44. Suppose 0 = -z, 0*u + z = -2*u + 38. Calculate the remainder when u is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1744*k - 1717*k = 432 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320)*-3 + sqrt(320) - 1*1*sqrt(320))\/(sqrt(250) + -1*sqrt(250)*5 - -6*(2*sqrt(250) - sqrt(250))).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/10 and -49\/2056773.\nAnswer: 20567730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbbbbbbbby. Give prob of picking 1 y and 1 b.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51006460133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 1. Let q = -1 + -1. Let v(b) = b - 1. Let l(h) = q*u(h) - 6*v(h). Let d be l(-3). Calculate the highest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 1 + 2 - l - l**2. Let s(q) = -10*q + 5. Let c(a) = 5*g(a) - s(a). Suppose c(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -8*r + 168. Let k(t) = 72*t + 3. What is the remainder when k(1) is divided by r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, d: 1, w: 1}. What is prob of sequence dcw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137587.\nAnswer: 137587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.168 + 0.118. What is the biggest value in -1, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from ppssvzsmpjzppzp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30608 (base 11) to base 2\nAnswer: -1010111001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6721*i = -6629*i. Factor 0*j**2 + 6*j**4 + 3\/2*j**5 + 0 + i*j + 6*j**3.\nAnswer: 3*j**3*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344*1.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/26 + 216\/52. Suppose b*z = -5*f - 12, z - 14 = 4*f + 2*z. Let i(s) = -2*s + 9*s - 2*s + 5*s**2 + s**3 - 1. Calculate i(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most as big as 40\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + j + j - 3718 = 0, 3*p - 4*j = -11150. Let x = 5651 + p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17532 at least -8921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i - 5. Give w(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let q(v) be the second derivative of -v**4\/12 + 14*v**2 + v - 9. Calculate q(p(s)).\nAnswer: -4*s**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q + 5. Suppose -6*n = -v - 8*n + 21, 5*n = -5*v + 105. Suppose 5*o = v + 9. Calculate k(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106197 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 36*s**2 + s - 1. Let l be n(3). Let p be (-6)\/(-9) - l\/(-6). Suppose 2*m + 15 = p. What is the remainder when m is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-112)\/48 - -2) + (-7)\/(-3). What is l in 4\/5*l - 8\/5*l**4 - 8\/5 + 16\/5*l**c - 8\/5*l**3 + 4\/5*l**5 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukkuuukkkukkk. Give prob of sequence uuku.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 18*z. Give i(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 3*a**2 - 2*a + 4. Let v be l(2). Suppose -3*q = v*q - 273. What is the highest common factor of q and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -421 + 337. Calculate the highest common factor of 217 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -17*g. Let n be (-6)\/15 + (-68)\/(-20). Let a(k) = -3*k + n*k + 5*k - k. Let c(l) = -9*a(l) - 2*d(l). Let f(s) = -3*s. What is f(c(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Suppose 5*b + 0*b + u*d = -3, 0 = -2*b - 3*d - 3. Let y(l) = -l**3 + 3*l**2 - 4*l + 3. Let i be y(2). Which is greater: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 3, k: 4, d: 2}. What is prob of sequence ktt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(0 + (sqrt(175)\/(sqrt(80) + sqrt(5)))\/sqrt(5)))**2.\nAnswer: -12*sqrt(7)\/5 + 253\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3972272.\nAnswer: 2, 248267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.068 - 10.068. Put -4\/3, 3, 4, -5, r in decreasing order.\nAnswer: 4, 3, -4\/3, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166599733?\nAnswer: 19, 8768407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*l = -2*l - 8, 3*m - l = -4. Let u be (4\/8)\/(m\/(-220)). Let n = -35 + u. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131808630 - -131808910.000165. Let y = 280 - m. Round y to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25141 + -25690. Are -558 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-133)\/(-14))\/(((-9)\/(-2))\/(-9)). Sort 5, f, 4 in increasing order.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - d = 120. Suppose -5*i - 3 + 3 = 0. Let a(v) = v**3 + v**2 + 98. Calculate the remainder when a(i) is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-15)*((-18)\/(-4))\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.042 times 198?\nAnswer: 206.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 755 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 5*l - 10. Let n be z(7). Let s = n - 4. Solve s = 2*v - 2 - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 104, 91, 84, 89, 112, 159?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212100021 + 2011020?\nAnswer: 1221111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4367862.\nAnswer: 2, 3, 242659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*k - 0 - 10, -b = -2*k + 4. Suppose -2*h - 8 = 0, b*t + t - 3*h = 17. Solve -t*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8450\/3*j**2 + 8\/3 - 520\/3*j = 0 for j.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 1 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3\/4 (c) 544\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*s**2 + 138*s**2 + 45*s**2)*(0*s - 3 - 2*s + 5).\nAnswer: -242*s**3 + 242*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66, 278, 634, 1134?\n\"Answer: 72*j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 3 + 2 + 4*i)*(-5 + 2 + 1) + 3*i - 2*i + i.\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 1243 + 528. What is the highest common factor of f and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121677 or 121906?\nAnswer: 121677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-24) - 16\/(-28)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 56629680.\nAnswer: 56629680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 682797408 and 10656.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 9*f**4 + (-1 + 0 - 1)*(-4*f - 2*f**4 + 4*f) + 5*f**4 + 2*f**4 - 6*f**4 - f**3 + f**4 + f**3 + (-5*f + 2*f + 4*f)*(-60*f + 60*f + 44*f**3).\nAnswer: 41*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/39741975 and 149\/52989300?\nAnswer: 158967900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 3*k**2 - 4*k - 3. Let t be q(-5). Let i = t + 33. Suppose -y + 5*u + 68 = i, u - 4*u - 58 = -y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*r - 5*r - 24024. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpphpjhhpp. What is prob of picking 1 j and 1 h?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.661 + 0.039. Let p = -1 + 1.7. Let w = z - p. What is the second smallest value in w, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 2*o - 1. Let m be n(-1). Let q(p) = p**3 + m*p**3 + p**2 - 4*p**3. Suppose 0 = -3*h - 6 + 9. Calculate q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331825 and 14183.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 6, 0.4, 22\/17 in increasing order.\nAnswer: 0.4, 1, 22\/17, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 1:06 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.62 + -0.33. Let m = -0.05 + i. Let d(f) = -389*f + 776. Let l be d(2). What is the closest to 1 in l, m, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let u = 0.95 - w. Let z = 0.15 + u. Is -2 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 140 = -25. Let p(k) = -k**3 - 3*k**2 - 5*k - 2. Let n be p(-4). Let q = n - 21. What is the remainder when o is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q - 252. Let s be u(-28). Suppose 5*i + 9*w - 5*w - 7843 = 0, 5*w - 10 = s. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*i - 7. Suppose -i = 4*q - 5*q. Suppose 0 = q*h - 5*v - 37, 0*h - 5*v = -3*h + 43. Solve -h*c + c = -10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*u**3 - 82*u**3 + 170*u**3 + 152*u**3.\nAnswer: 418*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 10) in base 7?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {m: 1, n: 9, c: 2, q: 1, a: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17796317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117\/31 - 81807\/21700. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 - 11*x**2 - 5*x + 14. Let f(o) = 0*o**2 - 2*o - 4*o**2 + 5 - 33*o**3 + 31*o**3. What is 11*f(k) - 4*i(k)?\nAnswer: -2*k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/114 and (7\/(-84))\/((-3)\/84*2).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6 - (208\/(-12) + 16)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**5 + 600*o**4\/7 + 3301*o**3\/7 + 5962*o**2\/7 + 3996*o\/7 + 104 = 0.\nAnswer: -2, -1, -2\/7, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4912, 9805, 14674, 19519, 24340?\nAnswer: 29137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/4)\/((-12)\/(-16)). Let p = t - -28. Suppose g + p = -5*a, g + 2*a + 0 - 1 = 0. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*l**3*q*v + 208*l**3*v - l**2*q + 2*l**2*v - l*v + 33*q*v - 2*v wrt l?\nAnswer: 66*q*v + 1248*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsttststttttttttst. What is prob of picking 4 s?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 37. Suppose -6*c + 218 + 598 = 0. What is the remainder when c is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23481838*u**3 - 23481965*u**3 + 46963811*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 9910850 + 6316613 = 86*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.187 - -0.023. Let n = 4.9 - 5.69. Let y = m - n. Put y, -2\/7, 0 in decreasing order.\nAnswer: y, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4585924\/463 and -9905 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076827742.\nAnswer: 2, 538413871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0*h**2 + 0 + 0*h**3 + 2*h + 1\/6*h**4. Let d(k) be the third derivative of -k**4\/6 - 2*k**2. Give d(t(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 1. Suppose 60 = -a*y + 12*y. Let q be 10*1*(-4)\/(-2). Calculate the highest common divisor of y and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3934 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01966 - 0.21207234.\nAnswer: -0.19241234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9939*l**3*m**2 - 535*l**2*m - 43545*l*m**2 - 2*l*m - 2*l + 2*m**2 + 3 wrt l.\nAnswer: -59634*l*m**2 - 1070*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k + 4. Let y(a) = -a**3 - 3*a**2 - 3. Let g be y(k). What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {v: 4, c: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -130, -316, -618, -1066, -1690, -2520?\nAnswer: -3586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {n: 1, s: 2, w: 6, q: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/149 in 2\/37, 83\/11, -5, -2\/5, -4\/5?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2. Let a(n) be the third derivative of n**7\/5040 - n**5\/60 + 3*n**2. Let h(j) be the third derivative of a(j). Calculate h(f(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 57*s**2 + 29*s - 25. Let j be m(28). Solve 0 = 6*n - j*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 507?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 6.4 (c) -90 (d) -3\/7 (e) 1 (f) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2 - 3 + 1 + 2*d. Let k(z) be the third derivative of z**5\/20 + 26*z**2 + 39*z - 3. Determine k(q(h)).\nAnswer: 12*h**2 - 48*h + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 374*q**2\/9 + 614596*q\/3 - 157760\/9.\nAnswer: 2*(q + 4930)*(187*q - 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.31, 14, 0, 4 in increasing order.\nAnswer: 0, 1.31, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -16. Let s be a\/(2 - (-3)\/(-3)). Let m be s\/(-2)*7\/7. Put m, -2, -5 in increasing order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 - 2*h**2 + 2*h + 4. Let x(v) = -10*v + 63. Let o be x(6). Let a(t) = -4*t**3 - 3*t**2 + 3*t + 5. Give o*f(b) - 2*a(b).\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -20, -4*o + 2*o + 5*v + 58 = 0. Let q = 19 + o. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*h - 4. Let m be (-21)\/(h + 1) - -1. Let s(n) = -2*n - 2. Is s(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83\/830)\/(1\/2*(-2)\/(-35)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96 + (24\/(-4) - 0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47\/34 + 2\/17. Let x = -247 - -247.2547. Let q = x + -0.0547. Which is the third biggest value? (a) -76 (b) -1 (c) q (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/111 and -137\/3024972.\nAnswer: 3024972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -10 - 19) + 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5500225 to the nearest integer?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 125 - 118 = 4*h, 0 = 5*u + h + 4. Let r be 5 - (1 - 1)*1. Suppose -3*v - r*y = 17, 3*v = -v - 2*y - 18. Put v, -5, u in decreasing order.\nAnswer: u, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (16 - (4 + 5)) - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4122 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -2\/249 (b) -3 (c) -7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (2 + (-2 - -1)). Solve 5*s = r*s - 1, 2*y + 4*s = 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7344, 7360, 7378, 7398?\n\"Answer: w**2 + 13*w + 7330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -370155 divided by -74031\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 2:56 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -96964*l - 1357365. What is w(-14)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/9, 119\/4, 0.004?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/91, 4, -58, 2, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 265*y**3 + 2090*y**2 - 3*y**3 - 2089*y**2 + 348*y**3 to the form g*y + s*y**3 + u*y**2 + c and give s.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -26*u**2 + 26*u**2 - 2*u**3 - 5*u. Let x(n) = 2*n. What is h(x(g))?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, x: 3, q: 4}. Give prob of sequence qt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 3*h**2 - 3*h + 4. Let y be o(-4). Suppose 5*k - 47 - 108 = y. Let r = 122 + -106. Calculate the remainder when k is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 2:36 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 5 (c) -153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -21, -26, -43, -78, -137, -226, -351?\n\"Answer: -v**3 + 3*v**2 - v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(765\/(-55) + 14). Put 6\/461, b, 3\/5 in decreasing order.\nAnswer: 3\/5, 6\/461, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, -2, -4 in descending order.\nAnswer: -2, -4, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/4)\/((-9)\/(-36)). Let u = -2.5 + 0.8. Let o = u + 1.4. Sort o, 0.3, v.\nAnswer: v, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -8*b - b. Calculate the greatest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*v*x**2 - 33*v*x + 71780853*v - 236326*x**2 wrt x.\nAnswer: 16*v*x - 33*v - 472652*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)*p)\/p)**(-46) assuming p is positive.\nAnswer: p**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (3 + -8)) + (-15 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22247 less than -63853652?\nAnswer: -63853651.77753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 56 - 21. Factor 3*s - 133*s**m + 10*s**2 + 128*s**5 + 5 + 12*s - 15*s**4 - 10*s**3.\nAnswer: -5*(s - 1)*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11880, 23695, 35524, 47373, 59248?\n\"Answer: v**3 + v**2 + 11805*v + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 15*k - 40. Determine p(-12).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3379, 17, 3, 7 in descending order.\nAnswer: 3379, 17, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4 + 8. Calculate the common denominator of -12\/7 and ((-46)\/3)\/((-88)\/v).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -124, -146, -182, -232, -296, -374, -466?\n\"Answer: -7*w**2 - w - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 5, n: 1, c: 1, r: 6}. Give prob of sequence aa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-44)\/(-3))*(0 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f**2 - 2*f)*(-3 - 2*f**2 + 3) - 1013*f**2 + 1013*f**2 - 153*f**4.\nAnswer: -151*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18543 and 104325.\nAnswer: 644832825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 780\/50)\/(4\/(-10))*78\/8?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 147, -8 in decreasing order.\nAnswer: 147, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 10*h - 16. Give v(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -43, -32, -17, 2, 25, 52?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12883 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1 + p)*(-278*p - 8*p - 170*p) - 2*p**2 + 3 - 3 + 2.\nAnswer: -458*p**2 + 456*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43947 is divided by 1302.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28398997*b**3 + 35022249*b wrt b?\nAnswer: -170393982*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97945 = 5*r - 5*v, -65*v = -2*r - 68*v + 39158. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**3 + 6*f**2 + 13*f. Let t(l) = l + 25. Let k be t(-19). Let m(i) = i**2. Let x(u) = k*m(u) - p(u). Find the second derivative of x(o) wrt o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690558.997 rounded to the nearest 100?\nAnswer: 690600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 2:03 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121 (base 3) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5456*v + 7 = 5455*v, 0 = 2*d - 4*v - 42 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -109*r**6\/60 - 67*r**3 - 14*r**2 + 12. Differentiate t(w) wrt w.\nAnswer: -654*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 10100320?\nAnswer: 10100330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((270\/(-288))\/(5*11\/220))\/(6\/(-32))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1644, 2, -146, -12 in decreasing order.\nAnswer: 1644, 2, -12, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 3148.\nAnswer: 50368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 9008336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 10. Suppose -9 = -3*x, w - 4*w + 150 = -x. Let r = -27 + w. Solve -i = 4*d - m, r = 4*d - 0*d + 5*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 16, -1\/4, -2, 5\/6, -3 in decreasing order.\nAnswer: 16, 3, 5\/6, 0, -1\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/(-14168)*-92*(-1*9 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -17. Suppose h = 4*h - 9. What is the third biggest value in h, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320313151 (base 6) to base 14\nAnswer: -a65827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + -0.52. What is the nearest to -0.1 in -3, q, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56650, -56652, -56654, -56656, -56658, -56660?\n\"Answer: -2*c - 56648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26049820.\nAnswer: 2, 5, 1302491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 10*x - 6. Let n(i) = -i + 1. Let a(f) = j(f) + 3*n(f). Let h be a(5). Suppose -12 = -2*r - 2*k, -2*r - h + 25 = 5*k. Solve 1 - r = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 5*m**2 - 2*m - 3. Let l(s) = 2*s - 5. Let u be l(5). Let j = u + 1. Is t(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**9\/126 - u**6\/60 + 13*u**5\/20 - u**4\/24 + 39*u**2. What is the third derivative of p(s) wrt s?\nAnswer: -480*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4305 + -4300. Solve 4*t - 10 = -3*u, v*u - 4 - 3 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1073710224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14010*y + 3 - 13995*y - 3.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -2185, -4 in ascending order.\nAnswer: -2185, -35, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -29*u**2. Let g(f) = 16186*f. Give g(w(m)).\nAnswer: -469394*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-49192)\/15652)\/(((-3)\/(-7))\/3)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 9*z**2 - 23*z - 156. Determine l(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4 - w**3\/3 + 2*w - 13. Let z = 33 - 32. Let n be v(z). Which is the nearest to -3? (a) -2\/9 (b) n (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s - 12*s + 4*s**2 - s**2.\nAnswer: 3*s**2 - 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 20*x**2 + 7*x - 146. Let w be s(20). Let h be 3623 + 2*(1 + 0). What are the prime factors of (-1)\/w + h\/30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + -3*sqrt(32)*2 + (sqrt(6)\/sqrt(3) + -1 + (sqrt(24)*-1)\/sqrt(12))**2.\nAnswer: -20*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 21\/14005?\nAnswer: 21\/14005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 735391.8ml?\nAnswer: 735.3918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 55*b**2 + 4105. Let i(s) = 8*s. What is f(i(m))?\nAnswer: 3520*m**2 + 4105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 3. Let n(v) = 8*v + 8. Let a(y) = -8*k(y) + 3*n(y). Let o(h) = -3*h. Calculate a(o(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -3*l**5\/10 - 39*l**4\/4 - 169*l**3\/2 + 83. Factor r(h).\nAnswer: -3*h**2*(h + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -3 + 1\/5*h**5 + 0*h**4 + 0*h + 0*h**2 + 2\/3*h**3. Find the third derivative of g(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**3 - 74*r**2 - 3*r + 104. What is w(11)?\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 60\/28 - 52\/(-28). Solve q*g - 7 = -m, -3*g - 4*m = -g - 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 59. Find the second derivative of 25*t + 6*t - 3*t**2 + o*t**2 wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21789028 from -0.1263865.\nAnswer: 21789027.8736135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 638, 1274, 1906, 2534, 3158?\nAnswer: 3778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**3 - 97*p**2 + 8*p - 5. Let i(w) = 3*w**3 - 48*w**2 + 3*w - 2. Calculate 2*d(v) - 5*i(v).\nAnswer: -3*v**3 + 46*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71 in -5, -132.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 226*n**5 - 2*n**3 - 76*n**5 + (2 + 3 - 6 + n**2)*(-n**3 - 2*n**3 + 5*n**3).\nAnswer: 152*n**5 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 3)*(3 + -1)\/(-6). Let v = 828 + -4142\/5. Sort t, -1, v.\nAnswer: -1, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11483622 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 32 - 98*c**2 + 5*c**3 - 109 + 37 + 42 + 500*c. Let w(u) = u - 1 - u - 4*u**2 + 3*u**2. Let t(y) = -r(y) - 2*w(y). Factor t(l).\nAnswer: -5*l*(l - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1510203*o**3 - 754642*o**3 - 753904*o**3.\nAnswer: 1657*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99226362 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88075, 88084, 88093, 88102, 88111?\nAnswer: 88120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 2*m**2 - 16*m - 15. What is n(9)?\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252919 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-579)\/513*9 - 21\/(-133).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6680, 9005, 11336, 13667, 15992, 18305?\n\"Answer: -m**3 + 9*m**2 + 2305*m + 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*o + 12 = 0, 12 = 4*i - o - 8. Let x(y) = 4*y - 2. Let q be x(i). What is the highest common factor of q and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 - -0.16. Let f = -5.77 + 8.84. Let a = f - q. What is the third biggest value in 0.4, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 263*k + 399 + 198 + 292 = -167, h - k = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34060 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467079903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 >= 961\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/60)\/((-400)\/500).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/6 + f**3\/6 - 4*f**2. Let y(i) = 5*i + 1. Suppose 36 = -0*u + 3*u. Suppose -5*v = -u - 3. Give v*y(d) - 4*l(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 6*m**2 - 12*m - 15. Let v be c(-9). Suppose v*n + 24 = 342*n. Let o = 3 - 4. Put -5, o, 0, n in decreasing order.\nAnswer: n, 0, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 10*d + 15 = 0, -5*r + 5 = -3*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -15182 (b) 1\/2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*a - 6 = 0, -4*y - 4*a = -12 - 12. Solve 7*d = y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 15*d = -40 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.04 + 7.04. What is the fourth biggest value in -53, 3, g, 2\/3?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58.5 + 75.5. What is the second biggest value in -2, 4, u, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 530 = 5*v, 0 = -4*o + 5*v + 433. What is the remainder when o is divided by (1\/((-5)\/(-18)))\/(8\/60)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f + 12 = 0. Let v(q) = -2*q**2 - q + 1. Let k(h) = h**2. Let z = -2336 - -2334. What is f*k(x) + z*v(x)?\nAnswer: x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -452.72551097+600\nAnswer: 147.27448903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 2*z. Let v = 11 + -24. Let c = -11 - v. What is m(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 16 - 35 - -22.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/12 + 7\/(-3). Let w = 0 + 1. Put -5, a, w in ascending order.\nAnswer: -5, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*b - 64 - 13, -3*a = -3*b - 231. Calculate the remainder when a is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3\/119 (c) -2\/51 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27\/2, -3, 362, -0.18646?\nAnswer: -0.18646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10) + 5\/25. Suppose j*f - 2*f = 0. Suppose 8*m = 5*m. Is f at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 89*b - 24. Let k(a) = 86*a - 24. Let t(d) = -5*k(d) + 4*s(d). List the prime factors of t(-5).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.113, -1\/4, 0, 136, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 4. Let w = -257 - -254. What is the nearest to -2\/7 in w, 5, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 30323231022?\nAnswer: 30323231030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 626700 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -724140, -1448251, -2172336, -2896395, -3620428, -4344435?\n\"Answer: 13*b**2 - 724150*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 104 = -28. Let m(f) = f + 6. Give m(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 66930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 58 * 2.7\nAnswer: 156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-54))\/4*(-18)\/(-12)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 58, 97, 136?\n\"Answer: 39*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/485 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(24\/5)*21*12\/(-90).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 168*m + 2. Let l(w) = -10*w**2. Determine v(l(j)).\nAnswer: -1680*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = 6*d. Suppose 0 = 4*u - d*u - 4. What is the third biggest value in 1\/4, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:19 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.439 + 0.639. Let x be (-1)\/(-3) + (-2)\/42. Let d = 0 + -2\/3. Which is the closest to x? (a) 0 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.200302 days?\nAnswer: 362906092800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1035 times 22124\nAnswer: -22898340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*m + 6*m - 7*m)*(-5*m**3 - m**3 + 4*m**3).\nAnswer: -128*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -176134 (base 10) to base 3\nAnswer: -22221121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393947765 is divided by 1217.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {j: 4, s: 2, x: 1, o: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3001626000 to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 314170 and 7120?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 8093.\nAnswer: 8093.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*z + 1, 5*a - 52 - 8 = -3*z. Solve 0 = 11*q + a + 46 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i - 108*i - 51*i.\nAnswer: -180*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 88.1528um?\nAnswer: 0.0000000881528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 35 + -45 + 1\/((-1)\/(-31)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/6)*v))\/(v**(-7)*v))**(-30)*((v**3\/v)\/(v\/v**7))**(-1\/6) assuming v is positive.\nAnswer: v**(-559\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 42*q**5\/5 - 3629*q**4\/5 + 1006*q**3 - 1273*q**2\/5 - 34*q = 0.\nAnswer: -2\/21, 0, 1\/2, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7759 - -11273. What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (19\/114)\/((-2)\/(-4)). Let p = 1.144 + -1.294. What is the nearest to -1\/4 in x, -3, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/6 - 7\/18. Let z = -1 - -13. Suppose 2*i + 12 = -i, -z = -4*h + 2*i. Are r and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934420\/14 - 76\/(-133)*7\/(-14).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 10. Let v = 15.2 - 84.2. Let y = v - r. What is the closest to 0.1 in 4\/7, y, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63719897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966912 is divided by 39328.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1707*n**2 + 1164.\nAnswer: -3414*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1249 - -1251. Let o(p) be the second derivative of 2*p + 7\/2*p**d + 1\/6*p**3 + 0. Give o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x + 1. Let l be r(-2). Suppose 3*q + l = 67. Suppose -j - 4*w = w - q, -3*w + 6 = 3*j. Let c(t) = -7*t + 1. Calculate c(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o**(2\/7)*o)*o)**(7\/8)*(o**(-6)*o)\/(o*o**(-4)*o))**(-14) assuming o is positive.\nAnswer: o**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 32 = 4*i - 4*w, w = 3*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a. Let t be k(1). Let u(n) = -11*n + 25. Let q be u(t). Suppose -2*g + q = o + 3*g, 0 = -5*o - 4*g + 505. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2*3 - 1*sqrt(13)*5) + ((sqrt(1872)*-2)**2 - (sqrt(325)*-1)**2).\nAnswer: sqrt(13) + 7163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/50 and -69\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59815115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 11. Let i be k(9). Suppose i*m - 381 = 401. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 20, -88*k + 91*k = h - 5. Solve k = -8*t - 4*t + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -28. Suppose -o = -b - 4*b. Calculate the least common multiple of b and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -68386 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(1134\/(-240)) + (-4)\/1 - 26190\/9720?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/5, 1805, -0.1, 1\/58 in descending order.\nAnswer: 1805, 2\/5, 1\/58, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 11*x**7\/42 + 5*x**3\/3 - 10*x. Find the second derivative of u(k) wrt k.\nAnswer: 220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357753?\nAnswer: 3, 11, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17882 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 9*l**2 + 5. Let q be k(9). Let c(n) = -n**3 + 2 - q*n**2 + 5*n + 0*n**2 + 2*n**3. Let o be c(4). Solve 0 = b - o*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 7:45 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2445 - -17081\/7. Find the common denominator of ((-2)\/4)\/(22\/781) and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65348184 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j + 7. Let k(d) = -18*d - 22. Calculate 7*f(x) + 2*k(x).\nAnswer: 6*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 - 2200\/(-18). Suppose -116144 = 61*i - 235*i - 98*i. Calculate the highest common divisor of l and i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2986422?\nAnswer: 2, 3, 497737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11953 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2508292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -4 - 1) + -3 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1790964 and 4140.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3 - 39*p**2 - 164*p + 204 = 0. What is p?\nAnswer: -34, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46857850 to the nearest integer?\nAnswer: 6845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 18329 = -4*c + 10583, 3*c = 2*o - 19252. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 101. Let f = -74 - r. Suppose -j = -0*j - f. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 17*c**2 + 42*c + 16. Determine n(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-7)\/(-280)*-8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Let c be 3 - (-4)\/(-2 + z). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1 - -3)*1. Suppose -5*a = -3*p + 23, 0 = 3*p - m*p - 4*a - 10. Solve 0*c = -2*v + c - p, 8 = v + 5*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1432\/11 at least -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 111 = -4*q, f + 44 = -q - f. Calculate the common denominator of (-284)\/(-54)*51\/q and (-9)\/(-21) - 1226\/84.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 2217847727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4*i - 127623*d**3*i - 1273*d**2*i + 67*i wrt d.\nAnswer: -24*d*i - 765738*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 73*q - 1. Let d be (-2)\/(-4) - (-9)\/6. Let g be k(d). What is the greatest common divisor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28778 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120114177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/12)\/((-35726)\/(-8)). Let f = 10950009\/89315 + g. Let j = 122 - f. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62.7, -21, -35 in descending order.\nAnswer: 62.7, -21, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p + 3*j - j, -2*j = 0. What are the prime factors of (193\/(-3) + 3)*(-5 + p)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 4. Suppose 8*u - 18*u = -170. Suppose u*t = -0*t - 51. Determine s(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 4 = 5*c - 4*p, -c - p + 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**3 + 25*q**2 - 3*q + 5. Let z(o) = -2*o + 20*o**2 - 36*o**2 + 3 + 28*o**2 - 4*o**3. What is -3*d(k) + 5*z(k)?\nAnswer: k**3 - 15*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -532899*w**6 - 376*w**2 - 563*w wrt w?\nAnswer: -63947880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -5, -2816?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 12, 3*i + 128 = -4*m + 6*i. Let v = -5 - m. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -914214, -1828428, -2742642, -3656856, -4571070?\nAnswer: -5485284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b7 + -6?\nAnswer: 6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z - 10. Let f be j(3). Let k(l) = -f*l**2 + 7*l**2 - 21*l**2 - 20*l**2. Let p(m) = 2*m. Give p(k(x)).\nAnswer: -90*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (5 + -2) - (3 - -6 - 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*v**4 + 3 + v**4 + 4*v**2 - 4*v**2 + (114*v**3 - 42*v**3 - 45*v**3)*(-v + 0*v + 3*v) to k*v + f*v**2 + g*v**3 + a + s*v**4 and give s.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*k**4 + k**3 - 14434*k**2 + 20109354 wrt k.\nAnswer: -28*k**3 + 3*k**2 - 28868*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 26 = -3*c, -5*c = 4*l - 28 - 16. List the prime factors of (c\/12)\/(2\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.516 rounded to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 9:08 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85984341517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33\/6*(-168)\/231\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -109*w**7\/42 + 565*w**3\/3 - 5*w**2 - 2*w + 8. Differentiate f(q) wrt q.\nAnswer: -2180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:45 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -1331.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**9\/15120 + b**5\/120 - b**4\/12 + 3*b**2. Let z(t) be the second derivative of f(t). Differentiate z(h) with respect to h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 16*r + 845 = 0. What is the third derivative of -8*l**3 - r*l**2 + 129*l**2 - l**5 + 65*l**3 wrt l?\nAnswer: -60*l**2 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -5) + 46 + -48 - -29\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10003721 and -4.\nAnswer: -40014884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38954.619 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a microgram in nanograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 14*i + 25. Let r be c(-11). Let s = -56 + r. Factor 0 + 1\/6*v**s - 1\/3*v + 1\/6*v**3.\nAnswer: v*(v - 1)*(v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/4)\/(2\/(-4)). Let u = -0.967 + -0.033. Which is the smallest value? (a) u (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1844 times 0.5?\nAnswer: 0.0922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose -7*z - 3*i = -3*z - 24, t = -i - 4. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*k**4 + 79*k**3 + 122*k - 1919101.\nAnswer: 104*k**3 + 237*k**2 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 363*o + 30 = -365*o, -g - o - 7 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3085 = 5*f - 3*g, 5*f + 3075 = -5*g. Calculate the common denominator of 1146\/f + 8\/44 and -87\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-9))\/(8\/((-1584)\/55)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.08929, -2\/3 in descending order.\nAnswer: 0.4, 0.08929, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + a + 3 = -13, 3*m + 3*a = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r**2 - 106*r**2 + 13*r**2.\nAnswer: -115*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 133?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.71 - 4.71. What is the second smallest value in -2, i, 168?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 841 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/7 (b) 0.72 (c) -2\/11 (d) 17 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4612 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 14515169?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -244*l**3*w**3 - 942*l**3*w + 372067*l**2*w**3 wrt l.\nAnswer: -1464*w**3 - 5652*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 3*p - 1. Let n be (-4)\/((2 - 1)*1). Let t be 270\/(-63) - n\/14. Let r(d) = -2*d**2 + 7*d + 3. Determine t*r(a) - 10*z(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1041452027 to the nearest integer?\nAnswer: 32272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 171*k + 85. Let b be u(-25). What is b rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9835 and -1389.\nAnswer: 13660815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = 57. Let p(f) = -f**2 - 14*f + 12. Let v = -19 - -7. What is the remainder when p(v) is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 2*q**2 - 5*q - 4. Let b be ((-72)\/(-63))\/((-6)\/(-21)). Suppose 4*a + 6 = a - 3*c, -b*a - 5*c - 7 = 0. Calculate v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -261 - -262. Sort 4, w, 79, -0.1 in ascending order.\nAnswer: -0.1, w, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let z(y) = -y**2 + y - 1. Suppose -6 = -2*a - a. Let m(b) = 2*b**2 - 4*b + 2. Let n be m(2). Suppose 0 = -n*t + 4 - a. Give z(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -74?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22869\/(-6174))\/(-121)*12\/(-9)*1?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1.5. Let t = c - -0.3. Let k = -3.9 - -5.9. Sort 0.4, k, t.\nAnswer: t, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72553796 and 0.1.\nAnswer: -7255379.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 9*r. Let o be u(9). Let x be 0\/((-6)\/(o + 3)). Solve x = 2*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ihiiriiiiriihiiiiiri?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 99869.4 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440790.\nAnswer: 2, 3, 5, 7, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-41))\/o)**(-9) assuming o is positive.\nAnswer: o**(-369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/9))**(-6\/23)*(d\/(d**(-3\/5)\/d))**(-21\/8) assuming d is positive.\nAnswer: d**(-19717\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(6\/8)\/3*(-1044)\/((-504)\/(-28))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:50 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**8\/168 + 4*r**7\/35 - 8*r**5\/5 + 4*r**2 - 11. What is the third derivative of x(a) wrt a?\nAnswer: 120*a**2 + 576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 225*o + 111 + 12*o - 111.\nAnswer: 244*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.18 (b) 25 (c) -11\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0196 + -0.0696. Suppose -t + x + 6 = -4*x, 1 = 5*t + 4*x. What is the second biggest value in a, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34877532641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*b = 277*b + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1119*z + 1 = -1117*z - 3. Let d = 15 + -11. Solve 7*j = 2*q + z*j - 21, d*q = -5*j - 33 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 26*t**2 - 28*t - 27. Let g be d(-27). Solve 9 = 5*y - m, 0 = -2*y + 4*m - g*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*d + 14 = -4*u, -u = -2*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 10) in base 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98390 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 531018 and 33534?\nAnswer: 989286534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z*z**(2\/7)))\/z)\/z)**(-6\/5)*(z*z**(1\/10)\/z)\/z*z\/((z*z\/((z**(-2\/15)\/z)\/z)*z)\/z) assuming z is positive.\nAnswer: z**(-523\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-57)\/(-38))\/((-1)\/(-2) - 0). Let n = -3 + 6. Does i = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78490577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2 - 246636672*x + 5069137331269632 = 0?\nAnswer: 41106112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -9 + -20 + 14 - (-19 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*d + 20 = 0, -5*i - 12 = 29*d - 26*d. Solve 5*w = 15, i*m - 12 = 5*m + w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 12 + 38 + 32*l**3 - 10 to the form i*l**2 + m + x*l**3 + o*l and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 6410*m**2 - 19185*m.\nAnswer: -5*m*(m - 1279)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -13) + 42 + -46 + 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 541315388 to the nearest one hundred thousand.\nAnswer: 541300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 198*q**2\/5 - 4616*q\/5 + 15576\/5.\nAnswer: 2*(q - 118)*(q - 3)*(q + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4023218139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 406 in descending order.\nAnswer: 406, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 365600 and 1600?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 762*c**3 + 39*c**2 + 2*c. Determine b(-1).\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 42213724.\nAnswer: -13\/21106862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -5 + 17 - -17 - (-16 + 17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -283, -666, -1049?\n\"Answer: -383*o + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/576*8\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/215 < 318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/40*6\/12*4. Which is bigger: p or 0.377?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84480 from 43.221714.\nAnswer: 84523.221714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/221 (b) -5 (c) -11 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73750 = -2787305*t + 2787930*t for t.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011 + -10110100000001011111?\nAnswer: -10110011111111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/3 - 710*h**2\/3 - 23812*h\/3 + 50456\/3 = 0.\nAnswer: -34, 2, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3085, -15911, -37287, -67213, -105689, -152715?\nAnswer: -208291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**(-2\/3)\/(l*l*(l\/(l**(-1)\/l*l))\/l)**(-48) assuming l is positive.\nAnswer: l**(1294\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22200 + 3?\nAnswer: -22131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = 0, 4*i - 2 = -2*n - 4. Suppose -2*r = 14*b - 18*b + 294, -5*r = 5*b - 345. Suppose 4*c + 52 = b. Solve i - c = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. Suppose -n - 2 + 3 = 0, -5*k - l*n - 176 = 0. Let t = -56 - k. What is t rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 2*s + 9 + 1\/90*s**4 - 1\/15*s**3 + 2\/15*s**2. Factor x(z).\nAnswer: 2*(z - 2)*(z - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 52*c + 49*c - 247 = -0*m, -130 = 4*m + 2*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-6))\/(21\/(-154)))\/(2\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11))**2 + -5 - 3*(-1 + sqrt(11)).\nAnswer: -3*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7802 - 6560. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217688 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 + 8*h + 3. Let m be f(5). Let v be (-3)\/2 + 16\/m. Let g be (v\/(-3))\/(2\/12). Solve 4*t = 3*t + 3*r + g, -3*t - 24 = 3*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2430*x + 18 = -2425*x - 3, -w + 10*x - 6 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*x = 1188 + 319 - 11671 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1 (c) -2\/55 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*(-144)\/(-120).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 28.45. Let q = -0.28 + 0.23. Let f = q + g. Sort -5, f, -0.06.\nAnswer: -5, -0.06, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48692b (base 13) to base 12\nAnswer: -6b4294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, -80, -3542, 3 in decreasing order.\nAnswer: 3, -1, -2, -3, -80, -3542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 2 - 2*v**2 + 2*v**2 + 7*v**3 + 3*v**2 as p*v**2 + c*v + x + u*v**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53524 or -5029?\nAnswer: -5029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioiwoillwijiowl. Give prob of picking 2 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 291*j + 15727. Let s be u(-54). Solve s*d = 31 - 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -62760, -125648, -188536, -251424, -314312?\n\"Answer: -62888*v + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2784409499 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f**2 + 12*f**2 + 6 - 24*f**2)*(8*f - 27*f - 11*f).\nAnswer: 90*f**3 - 180*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2059, 2283, 2507, 2731?\n\"Answer: 224*w + 1835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 32. Which is the nearest to 1? (a) 1\/6 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -557527537 less than -557527539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3204*j**4*s**2 + j**4*s - j**3*s + 2*j**2*s**2 - 919*j**2 wrt j?\nAnswer: -76896*j*s**2 + 24*j*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 5*o = 0, -3*o = -4*s - 2*o + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/2 + m**4\/2 + 4*m**3 - 6*m**2.\nAnswer: -m**2*(m - 2)**2*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, 5, 30, 87, 188, 345, 570?\n\"Answer: 2*n**3 - 2*n**2 - 3*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 6.\nAnswer: -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14088 = -239*g - 17912 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24936559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 + 9*c**2 - 10*c**2 + 3*c**2. Let p(z) = z + 13. Determine w(p(h)).\nAnswer: 5*h**2 + 130*h + 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 26286537315308.\nAnswer: 26286537315307.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20886243?\nAnswer: 3, 7, 994583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 250*40679\nAnswer: 10169750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 30041144?\nAnswer: 30041131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 6 - (-2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.992 + -23. Let i = u + 0.00800088. Round i to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -45*p - 206. What is y(-10)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (0 - -6) + (41 - 45) - 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 16) to base 14.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 2.2. Which is the closest to 2\/7? (a) 0 (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o - 5. Let u(m) be the third derivative of m**4\/24 + m**3\/6 - 5*m**2 - 9. Calculate 5*u(g) + w(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1882945 minus 0.071?\nAnswer: -1882945.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, h: 3, e: 8}. What is prob of sequence uhhu?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + 17?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 78 from 176.7.\nAnswer: 98.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/32263 and 43\/32263.\nAnswer: 32263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49*q**4 - 12364*q**2 + 12364*q**2)*((2 - 1 - 2)*(-5 + 4 + 3) + 1 - 10 + 5) in the form d*q**3 + f*q + n*q**2 + a + g*q**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.04025\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5639321546.\nAnswer: 2, 401, 7031573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c + 2*o = -4, -4*c - 3*o - 16 = 0. Let z be 594\/(-1050)*(-16)\/(-30). Let p = -2\/125 - z. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - n = -6*n + 273 - 70, -1113 + 973 = -4*y - 4*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Suppose 5*o + 33 = 8. Sort -3, z, o in increasing order.\nAnswer: o, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 11.94. Let f = -0.06 - s. What is the nearest to -1 in f, -3, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = x - 27, -2*l - 3*x + 19 - 18 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-4) - 1515\/(-36))*3. Let c(d) = a*d**2 - d + d - 129*d**2. Let z(r) = -20*r. Give c(z(k)).\nAnswer: -800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 2, 3, 1.\nAnswer: 1, 2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 300 = -3*t. Calculate the least common multiple of 40 and t.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000152028702 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((-6)\/(-4))\/(12\/(-24)). Find the common denominator of 605\/50 + 3 + z and -67\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 6*g - 3. Let p be 3*-3*(-4)\/6. Let s be t(p). Is s at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2 - -69)*(-1)\/(-4). Let c = 71 - r. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2106 - 1.0996. Let f = d + -0.091. Round f to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - l - 2 + (-5 + 10 + 2)*(-3*l + l - 2*l).\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:13 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51879\/52481 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 6 + 2\/7*r**4 + 0*r - 6\/35*r**5 + 2\/7*r**3 + 1\/42*r**6 - 9\/14*r**2. What is c in a(c) = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243 by -32.\nAnswer: 243\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.4, 0.5, 12753, -0.3 in increasing order.\nAnswer: -0.3, 2\/7, 0.4, 0.5, 12753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 110*h + 15947. Determine p(-145).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1559, 1495, 1431, 1367?\n\"Answer: -64*u + 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(343) - (0 + sqrt(343))) + sqrt(343) + sqrt(343) - sqrt(343)) + sqrt(343))**2 - -2*(sqrt(847) + 1 + sqrt(847))**2.\nAnswer: 4*sqrt(7) + 8159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 12 = -5*n, -3*u - 2*n + 6 = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose 4 = w*z - 2. What is the second derivative of c**2 - 5*c**2 - 8*c + c**z wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5\/7 - 20*l**4\/7.\nAnswer: -4*l**4*(l + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -120*c. Let y be x(1). What is the common denominator of ((-18)\/y)\/(9\/(-426)) and 77\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 16*h**2 + 52*h + 36. Let x(m) = -m - 1. Let a(p) = i(p) + 24*x(p). Factor a(c).\nAnswer: 4*(c + 1)*(4*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 3. Let m be h(-7). Does 26 divide (-440)\/(-8) + (1 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 10:41 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = -0*l + 8*l - 13845. Round l to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 38 + 5)*(-5*b**3 + 19 - 19).\nAnswer: 375*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3592738.\nAnswer: 2, 23, 83, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321921332 to the power of 1\/2, to the nearest integer?\nAnswer: 17942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498046571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6)*m*m**(1\/5))\/(((m**(-2)\/m)\/m)\/((m*m**(1\/4))\/m*m)))\/(m**(2\/31)\/((m**(-2\/29)*m)\/m))**(7\/2) assuming m is positive.\nAnswer: m**(233431\/17980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**4 + 28*c**3 - 275*c?\nAnswer: 60*c**2 + 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5114827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40528 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0521, -17\/5, -0.11, 75.5 in increasing order.\nAnswer: -17\/5, -0.11, -0.0521, 75.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c + 169. Let v(h) = 5898*h. Give v(k(a)).\nAnswer: 29490*a + 996762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2733 = -192*t - 570 + 2637 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -2 + (-28 - -6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000892 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 41 in descending order.\nAnswer: 41, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 118*b**2 - b - 1. Let g be w(-1). Suppose p - 3*p + g = -2*d, -2*d = 5*p - 302. Suppose 2*a - p = -12. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-50)\/(-30))\/(2\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/99*((-11368)\/1044 + (11 - 0))*27\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 + 2435*g\/3 - 165550\/3.\nAnswer: -(g - 2365)*(g - 70)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 6*l - 8*l + 15*l.\nAnswer: l - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 2*s + 240. Let k = 40 + s. What is the units digit of 228\/9*60\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19461, 38879, 58317, 77787, 97301, 116871, 136509, 156227?\nAnswer: 176037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2144?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 708194, 2832731, 6373626, 11330879, 17704490?\n\"Answer: 708179*g**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*d**2 - 12881 - d - 70*d**2 + 12881 - 317*d**3.\nAnswer: -317*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -50. Let f(s) be the third derivative of s**4\/24 - 2*s**3\/3 - s**2. Does 4 divide f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (489*f**2 + 339*f**2 - 580*f**2)*(-1 + 1 + 1)*(-1 + 2 - 5).\nAnswer: -992*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44141292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -43*b**3 + 2*b**2 - 23*b - 16. Let y be m(16). What is y rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 32 + -1 + -38 - (0 + 63)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11150029 a multiple of 2143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 208342*o - 208340.\nAnswer: -2*(o - 104170)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 65*r**5 + 21465*r**4\/2 + 65135*r**3\/2 - 38505*r**2 - 4860*r = 0?\nAnswer: -162, -4, -3\/26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0 + 17*b**2 + 0*b**5 + 0*b**4 + 2*b**3 - 17\/210*b**7 + 0*b**6 + 0*b. Differentiate x(l) wrt l.\nAnswer: -68*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f + 4*f - 15*f + 449609 - 449606.\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -217, -445, -675, -907, -1141, -1377?\n\"Answer: -x**2 - 225*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*l)*(2*l**2 + 4*l**2 - 5*l**2 + (2*l + 2*l - 6*l)*(0*l + 11*l - 4*l)).\nAnswer: -39*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcbttrrtctrrbcqbtr. Give prob of sequence rt.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -256, -261, -198, -31, 276, 759?\n\"Answer: 6*f**3 - 2*f**2 - 41*f - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 14*k**2 + 70*k + 86. What is the lowest common multiple of j(-7) and 132?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/294)\/((-10)\/(-35))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v = 132. Find the common denominator of 93\/(-10) - (-1)\/(-1) and (-341)\/v*(-6)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 342917.19813?\nAnswer: -342915.19813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 286397281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/619 in -1\/13, -0.9, 2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amaa when four letters picked without replacement from ahaaaaamaamaaahamaaa?\nAnswer: 91\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187331*n**3 - 92 - 119 + 211.\nAnswer: 187331*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u - 2351 = -731. Let c = 56 + u. Solve -c*s = d - 4, 5*s = d + 3*d + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3510 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 10. Let i(a) = 14*a**3 + a**2 + a - 1. Is i(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvmmvmvmvtv. What is prob of sequence vt?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -12\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = -224. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/32 + 3 + (-10)\/2. Suppose -2*w - 13 = -3*g, -3*g - 2*w + 5 = -0*w. What is the closest to -1\/4 in g, -6\/13, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 32*g + 180. Calculate s(-22).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + c + 200. What is d(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 793737 divided by 113391?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.1, 0.007?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-84))\/(135\/8)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 431194, 431155, 431116?\n\"Answer: -39*v + 431233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgfgfgfgfff. What is prob of sequence gffg?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002828704 to seven dps.\nAnswer: 0.0002829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r + 4*s = 56, -10 = 3*r + 5*s. Sort -1, -2, r, -5 in increasing order.\nAnswer: r, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**2*j*y - 25*b**2*j + b**2*y - 3*b*j - 95*b*y - 3*y wrt b.\nAnswer: -6*j*y - 50*j + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 + 560*p**2 + 420318*p\/5.\nAnswer: 2*p*(p + 171)*(p + 1229)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/5 - 1692764*i**3\/5 + 1015656*i**2 - 5078276*i\/5 + 1692758\/5 = 0.\nAnswer: 1, 846379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-27))\/2)\/((-2)\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -171 - 4*y**2 + 173 + 3*y**3 - y**3 + 0*y + 2*y**3 + 0*y + y**3 - 4*y**3 + 4*y**3 - 2*y**3 + y - y + (0 + 3*y**2 + 0)*(-2 + 2 - 2*y).\nAnswer: -3*y**3 - 4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -4. Let o be v\/(-20) - (-742)\/8. Let q = o + -57. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + -2 + sqrt(208)*-1)**2.\nAnswer: 16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94934663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144663*l - 1738233 wrt l?\nAnswer: -144663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 312 + 438690247.77\nAnswer: 438690559.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-45) - 7\/9. Let v(h) = 8*h + 8*h - 22*h + 4*h + 3. Let u(z) = -3*z**2 - 3*z + 4. Let r(c) = -3*u(c) + 4*v(c). Determine r(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 7:20 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21983 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: Two letters picked without replacement from ekfkeffffe. Give prob of sequence ef.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26202.12 tonnes in grams?\nAnswer: 26202120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 521 + -517. Solve 2*m = c*u + 26 - 2, 4*u + 2*m = -16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - r + 19 = 3*g, 5*r - 26 = -2*g. What is the remainder when 19 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 8:39 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 - 1)*(0 - 1). Let y(o) = -23*o + 21. Let g(h) = 12*h - 11. Suppose -4*w = w - 30. Let j(r) = q*g(r) + w*y(r). Differentiate j(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p**(-7))**34 assuming p is positive.\nAnswer: p**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*8\/(-54)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkeynvkeekx. Give prob of picking 1 y, 1 v, and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240*b - 238*b + 610*b)*(-1 + 2*b + 1) + 3*b**2 - 9 + 9.\nAnswer: 267*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = -5*m + 48, 0 = 2*w. Let z = 11 - m. Suppose -z*r + 2 = -50. Calculate the remainder when 102 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlcc when four letters picked without replacement from rlrbrcrbbnlbrbrc?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -239\/3, 4, 24.5 in descending order.\nAnswer: 24.5, 4, -22, -239\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1282 + 0.134625. What is h rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-25) + -1*(-3 + 5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*((0 + sqrt(11) + -2 + sqrt(11))**2 - (sqrt(99) + -1)) + -3.\nAnswer: -11*sqrt(11) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c - 560*c**2 - 6*c**5 + 560*c**2 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2. Let r(k) = -7*k**2 + 18*k. Let a(o) = -14*o**2 + 39*o. Let t be -17 - -1 - (1 + -12 - -8). Let p(w) = t*r(w) + 6*a(w). Calculate f(p(x)).\nAnswer: 196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24328585.\nAnswer: 5, 4865717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 35, 3\/2?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/4698 and -97\/612?\nAnswer: 159732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -541 times 0.1\nAnswer: -54.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3203 - 31312?\nAnswer: -101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 45*c**2 + 21*c + 16. Let p(o) = -9*o**2 - 4*o - 3. Let x(l) = -4*d(l) - 22*p(l). List the prime factors of x(-3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*c*g*o**5 + 3*c*g*o**2 + c*g*o - 2*c*o**4 - 2*g*o**3 - 5*g*o**2 wrt o?\nAnswer: 1860*c*g*o**2 - 48*c*o - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6) - (13 - ((-6771)\/18)\/37*-5)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**3\/2 + h. Let i(z) = z**3 + 9*z**2 - 1. Let q be i(-9). Let c be l(q). Solve c = -0*y + y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-252))\/((-16)\/(-168))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-236)\/767)\/((-20)\/(-126230)). Which is smaller: -1945 or o?\nAnswer: -1945","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100220022 (base 3) to base 6\nAnswer: -53225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-12))\/((-3514)\/6024)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315 divided by 1.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -6334180?\nAnswer: -6334185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueu when three letters picked without replacement from {l: 1, m: 1, u: 2, e: 9, t: 3, w: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 160657 divided by 2723\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 3*h**3 - 283. Let z(a) = -a**2. Calculate z(q(c)).\nAnswer: -81*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/28)*t)\/(t\/(t\/t**(-9\/4))))**(-26) assuming t is positive.\nAnswer: t**(-598\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/56 - ((-52)\/14)\/1. Let w(f) = -41*f - t + 76*f + 2 - 33*f + 12*f**2. Let k be w(3). Calculate the greatest common factor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21561.6932 + -167.\nAnswer: -21728.6932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h**3 - 1 + 33*h**3 - 5 wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 3*i**2 + 3*i. Let k(d) = 2*d**3 + 8*d**2 - 8*d. Suppose -27 = m + 2*m + 3*l, 0 = 4*m - 4*l + 28. Determine m*g(h) - 3*k(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 2*a**5)*(2 - 1 + 0) + (-3*a**3 - 3 - 2*a**3 + 10*a**3)*(10*a**2 - 7*a**2 - 9*a**2).\nAnswer: -28*a**5 + 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 2 - -2) + (21 + -58 - -40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 6*k**2 - 7*k**2 - k**2. Let y(q) be the second derivative of 0*q**2 + 0 - 3*q - 4\/3*q**3. Determine i(y(c)).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0032 and -349176?\nAnswer: 349175.9968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*x - 5 = 0. Solve x*f + 2 = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -1\/24*v**3 + 1\/4*v**2 + 5\/8*v - 30. Let s(t) = 0. What is t?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 702506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 346 + -378. Which is smaller: p or -220\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1210260 and 578820.\nAnswer: 13312860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9161, -9160, -9165, -9176, -9193, -9216?\nAnswer: -9245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2013, 12095, 36313, 80733, 151421, 254443, 395865, 581753?\nAnswer: 818173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - m - 4. Suppose -4 = -2*r + 3*r. Let h be s(r). Suppose h = -3*d + 143. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-234))\/(-1*(-1)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 0*s - 4*s + 11*s - s**3 - 2. Let b be -8 - (-1 - -3)*-1. Is f(b) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53c1e (base 15) to base 4\nAnswer: 1000323323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3429 and -6644?\nAnswer: 3215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203 - 7*f - 203 to the form p*f + w and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2299) + -1) + (sqrt(2299) - (sqrt(2299)*3 + -4 - sqrt(2299) - sqrt(2299))).\nAnswer: 1 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 620*x**2 - x**4 - 620*x**2 + 6*x**3 to w*x**4 + i*x**2 + g*x**3 + o*x + z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 24575\/2)*1528\/1146. Round j to the nearest 100.\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152 - -151)\/(19 + (-5754)\/303)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.17999 to 0 decimal places.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -132, -137?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t - 28. Let w(i) = i**2 + 6*i - 9. Let o be w(t). Let p(l) = l**3 + 2*l**2 - 3*l - 3. Let s be p(o). Put s, 5, 4 in ascending order.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*(644\/110124 + (18\/(-57))\/(-3))\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 29768495 - 369\nAnswer: 29768126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.11 (b) 5 (c) 1 (d) -852 (e) 2\/3 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(396)*3 + sqrt(11) + sqrt(1100) + 2*sqrt(1100) + sqrt(121)\/(sqrt(55)\/sqrt(5)))**2.\nAnswer: -300*sqrt(11) + 27509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:15 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/17 (c) 2\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = -2*z, -q - q - 25 = -5*z. Solve -3*m - 15 = z*a + 2*m, 2*a = -m - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 185*r - 95. Let h(q) = 32*q - 16. What is -35*h(g) + 6*y(g)?\nAnswer: -10*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, -0.047, -0.3 in ascending order.\nAnswer: -8, -0.3, -0.047, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:36 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76012 = 423*f + 1525*f + 504*f for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/19 (b) 1 (c) -1\/3 (d) -5\/2 (e) -3\/844 (f) -0.0402\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + 2*f + 2. Let j = -1 - 0. Let b(x) be the second derivative of -x**4\/12 + 2*x. Calculate j*y(w) + 4*b(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 2*n - 1. Let o(m) = -2*m - 6. Let i be o(-5). Suppose -i*p = p + 10. What are the prime factors of k(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 558*u + 558*u + 33)*((0 + 2 - 1)*(-2 + 0 + 0) - 4 + 4 + 1 - 1 - 3 + 6 + (-4 + 4 - 35)*(7 - 1 - 12)).\nAnswer: -211*u**3 + 6963","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 220201200?\nAnswer: -220201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (2*sqrt(304) - sqrt(304))*4)\/(sqrt(56)\/(sqrt(7)*2)))\/(((sqrt(22) - -1*sqrt(1078)) + sqrt(22))\/(sqrt(11)*2*2)).\nAnswer: -8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*t - 2, -3*f + t = 2*f - 6. Suppose -4*g - f*g = -12306. Is g 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 {a: 1, f: 1, d: 2, r: 2, i: 4, j: 4}. What is prob of sequence ar?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/9 + 628*m\/9 - 49298\/9 = 0. What is m?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 401793 and 258552?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*f*n**2*s - 4*f*n**2 + 2*f*n*s**2 + 3*n**2*s**2 + 71*n**2*s - 2*n*s**2 wrt f?\nAnswer: 55*n**2*s - 4*n**2 + 2*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(10)\/(-2*sqrt(80) + sqrt(80)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1462 = 42*s. What is the remainder when 314 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -89*t**3. Is d(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -248, -823, -1950, -3815, -6604, -10503?\nAnswer: -15698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(99))\/(-3*-2*sqrt(12)).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 - (5 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*12*16\/1920\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20699860 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -391476624688213.\nAnswer: -391476624688212.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343888129*j - 343888129*j - 4*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z = -515. Let l = -70 - z. Suppose -2*j + l = j. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4038 divided by 2?\nAnswer: 2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 518 - 33*w + 51*w + 97*w - 515 + 49*w in the form l + q*w and give q.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -21797456630.500105 - -21797597721. Let f = d + -141093.7. Let r = f + 3.2. Round r to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1200640, -2401268, -3601896?\n\"Answer: -1200628*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2934345 and 795?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 444 and 574344?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*q - 46, 2*q + 4*i = 11 + 13. Suppose 3*s = -s - 5*w + 17, 3*w = 4*s - 9. Suppose -12 = n - s*n. What is the smallest common multiple of n and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 19 = 3*j, -j + 23*y + 17 - 66 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, 2, 12, 3402?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390856.3l to millilitres.\nAnswer: 390856300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*6 - 6*-2*sqrt(77))\/((-4*-2*sqrt(70))\/(-1*sqrt(40) - sqrt(40))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:19 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - -14. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 16 - 31 = 0. What is the second smallest value in 55, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -83*z**5\/10 - 689*z**2\/2 - 12*z - 16. Differentiate p(f) with respect to f.\nAnswer: -498*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -16 - (-10 + -9)) + 3 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -2*r - 4*a + 44, 4*a = 2*r + 84. Let v = 66 + r. Solve -2 = 3*t - v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11684035 - -0.06\nAnswer: 11684035.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*j**5 - 11426*j**4 + 7*j**2 + 1214792*j + 9?\nAnswer: -520*j**3 - 137112*j**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (37 - -5) - 17?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25065 = -10*j + 14*j + 5*s, 18792 = 3*j - 3*s. List the prime factors of j.\nAnswer: 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i*i**(-1\/9))))*i**10)\/((i\/((i**6\/i)\/i))\/((i*i*i\/i**(-2\/5))\/i)) assuming i is positive.\nAnswer: i**(698\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574441271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 3*l + 3. Let y be v(4). Let q(z) = 2*z + 7. Suppose 11*x = -13*x + 1464. Calculate the remainder when x is divided by q(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.78008ml in litres?\nAnswer: 0.07278008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 9:09 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*a = 4*o - 471, -4*a = -o + 140. Suppose 4*z = 12 + o. Suppose -y - 14 = -2*y. What is the remainder when z is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -0.4.\nAnswer: -10, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 + -79?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1957, 3978, 5995, 8008, 10017, 12022?\nAnswer: 14023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 372, 759, 1160, 1569, 1980, 2387, 2784?\n\"Answer: -l**3 + 13*l**2 + 355*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 1406?\nAnswer: 15466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 22*c = 11*c + 264 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 119*k + 1. Let q(i) = -57*i. Determine q(w(h)).\nAnswer: -6783*h - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*n - 4*b + 8, -2*n = b - 5. Is (18\/4 + n)*46 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12847635 is divided by 759.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4125673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 31*b**2 + 59*b - 15. Let t be l(29). Solve -t = -5*x - 14 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20ab7 - 50?\nAnswer: -20b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 373038 and 3002.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 39. Sort -2, x, -3 in descending order.\nAnswer: -2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 1884509?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 11923281, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 11*i**2 - 13*i - 49. Give w(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0*l - y + 3, 3*l + 2*y = -19. Let j(u) = -u**3 - 6*u**2 - 11*u. What is the least common multiple of 21 and j(l)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 19, 18.7, -1\/4, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*m - 55, c + 2*c + 4 = 5*m. Suppose c*r - 9*r = -186. What are the prime factors of r?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8953 to two decimal places.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012976452 rounded to 4 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*v + 36 + 8 - 44.\nAnswer: -158*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f + 79*f - 3*f**2 + 28*f - 2352 + 57*f = 0. What is f?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 184.494 - 1.394. Let p = -183 + f. Let l = 2 + -7. Which is the closest to -0.11? (a) -1 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.45 - 17.55. Let c = 20 + o. Let k = 3 + -2.5. What is the third smallest value in k, -3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3406593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 0*x + 2*x + (-17*x + 5*x + 158 + 11*x)*(-5 + 10 + 8) - x + 1 - 1 to z*x + d and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 d when four letters picked without replacement from {u: 1, d: 2, g: 8, m: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289 divided by -1.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 5:39 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 12*w - 15. Let s be h(10). Suppose 12 = -4*o + u, 5*o - s*u = -0*u. Sort -0.1, -29, o.\nAnswer: -29, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/5 - 41\/5)\/(-1). Suppose 3*x + 2*d + c = -x, 20 = -3*x - 5*d. Solve -2*n + x*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3194*-2\nAnswer: -6388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1088 + 480 = 110*o - 34*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 26*f + 26*f - 7*f**2 + 19*f**2 - 76*f + 2*f**4 + 27*f in the form o*f**3 + x + q*f + v*f**4 + t*f**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 33. Suppose -y = -b - 3*b. Suppose 0 = z + 5*f - 17, 4*z = 8*z - 4*f - 20. Calculate the remainder when b is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 40. Let j = -319\/1344 + 3\/64. Let h = 2\/35 + j. Which is the nearest to h? (a) o (b) -3\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 - 109*o - 52. Let n(h) = h**2 + 27*h + 13. Let y(s) = -2*d(s) - 9*n(s). Is y(-20) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9215.422 kilograms?\nAnswer: 9215422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 0*l**2 + 12*l**2 - l**2 - 6*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let g be 6\/(-9) + 34\/6. Let z(m) = m + m - g*m + m. Let k(y) = -4*q(y) - 3*z(y). Let j(d) = -2*d. Calculate j(k(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 11. Let l be h(-5). Let f be ((-26)\/117)\/((-31)\/558). What is the third biggest value in f, 6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2d012 (base 16) to base 5\nAnswer: 21344323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + 150. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1897906 = 7*n + 225473. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 105 - 3)*(-2 - 2*t**4 + 2).\nAnswer: 330*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9\/455 - 23269\/42770. What is the common denominator of z and -101\/18?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w - 1. Let h = -666 - -661. Let a(g) = 7*g - 4. Let v(y) = -14*y + 7. Let i(k) = 11*a(k) + 6*v(k). Calculate h*i(x) + 6*z(x).\nAnswer: -x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 6)*(-18*p + 14*p - 25*p).\nAnswer: 174*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-21))\/(2\/42). Let s = k - -23. Determine b so that -7*b - 4 + 7*b**2 + s*b**3 + 6*b - 7*b = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 197*b**2 - 2 + 2 - 200*b**2. Let g(c) = c**2. Give d(g(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 39*b**4\/5 + 13098*b**3\/5 + 824124*b**2\/5 + 3140568*b\/5 + 617760 = 0?\nAnswer: -3300\/13, -78, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12))**(-2\/31)\/(a**12)**24 assuming a is positive.\nAnswer: a**(-8904\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 7:10 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 102*h**3 + 5917*h**2 + 58*h - 125. Calculate o(-58).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468589?\nAnswer: 11, 41, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -125 and 0.11.\nAnswer: -124.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100221 (base 3) to base 10.\nAnswer: -268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxtttxttx. Give prob of picking 2 t.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2*(145\/5 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19020034, 38040064, 57060094, 76080124, 95100154?\nAnswer: 114120184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(65)*2 - sqrt(65) - sqrt(65)))\/(sqrt(60)\/(sqrt(12) - sqrt(108))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694983271?\nAnswer: 29, 61, 958159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 40)*(3 - 4 + 3)*(2*z**4 - 4*z**4 - 2*z**4).\nAnswer: -296*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6193183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-26)\/32 - -1)\/(1110\/(-20)). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670 is divided by 98.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:21 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73867*x + 20 + 24597*x - 20 + 24629*x + 24612*x.\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 0.4 (c) 0.5 (d) -1 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 36*c - 38.\nAnswer: 2*(c - 1)*(c + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 + 2*q + 3. Let v(a) = -a**2 - a - 1. Let s(p) = -n(p) - 3*v(p). Let l(m) = m - 4. Let w be l(8). Let c = w + -3. What is s(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35577 (base 8) to base 9.\nAnswer: -22803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 5*u**2 + 6*u + 4. Let a be k(-6). Let o be 64\/a*(-2)\/(-4). Let j be (-4)\/9*3\/o. Are j and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -190*s - 2*s**2 + 3*s**2 - 5 + 186*s. Give m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 385555, 385545, 385535, 385525, 385515?\n\"Answer: -10*p + 385565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 + 24*a**3 + 69*a**2 + 84*a + 36 = 0. What is a?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6312086 and 3146.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.6 + 18.6. Let j = 5 + -4. Let z = j - q. What is the biggest value in -5, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 50*z**2 - 4*z + 16. Let a be f(5). Suppose -a = -2*i - 426. What are the prime factors of i?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-11))**40)**(10\/17) assuming n is positive.\nAnswer: n**(-4400\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 6:59 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x + 3. Let w(t) = 3*t + 3. Let j(h) = 5*i(h) - 3*w(h). Let u(d) = d + 7. Let v = -10 - -5. Calculate v*j(n) + 4*u(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22589 - -0.009.\nAnswer: -22588.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16408 and -73.\nAnswer: 16335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 8) to base 10.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {w: 1, r: 1, s: 1, y: 2, t: 1, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:17 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 233*u**3 + 432*u**3 - 1074*u**3 + 422*u**3 + 8.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 5, v: 6}. Give prob of picking 1 a, 1 v, and 1 g.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3 + (-12 - -15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140582584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677498?\nAnswer: 2, 3, 279583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18920 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (10\/4)\/((-6)\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 99 = -272. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 59. Let d = -10 - -14. Solve -l*y - 4 = -d*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 + 69964*i.\nAnswer: -2*i*(i - 174910)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-19))\/(72\/3132*87)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532 = -85*j - 1845 + 378 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*h**3 + 7505*h**2 + 705*h - 6750.\nAnswer: 5*(h + 1)*(h + 150)*(10*h - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 60*k - 135.\nAnswer: -5*(k - 9)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Suppose -j = -3*m, -5*m = 4*j - 2*j. Let g(y) = -3*y + 6*y + m*y. Let f be (80\/15)\/((-2)\/(-3)). Determine f*s(v) - 3*g(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -22*k + 6863. Let r(s) = 19*s - 6880. Calculate 6*o(x) + 7*r(x).\nAnswer: x - 6982","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.50187ug to milligrams.\nAnswer: 0.00150187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from oorvvorovoohvoooo.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-422)\/(-4)*(-12 + 8). Let z = t - -626. What is z rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300010 (base 4) in base 16?\nAnswer: c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 16 = 4*g, 3*g + 2 = 4*f + g. Let p = -1326.84 - -1327.24. Which is the nearest to f? (a) p (b) 2 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23335201\/370 - 63068. What is the common denominator of -79\/555 and t?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p - 2*v, 5*p - 2*v + 5*v = 22. Calculate the highest common divisor of p and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 148*c + 2. Let x(g) = 7*g**2 - 296*g + 5. What is -5*r(v) + 2*x(v)?\nAnswer: -v**2 + 148*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42092 and 19808?\nAnswer: 336736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (292 + 82*z**2 - 292)*(0*z + 3*z + z).\nAnswer: 328*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250569286 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8208 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10)\/d*d*d*d**(18\/5)*d*(d*d\/(d*d**(-21)))**(2\/5) assuming d is positive.\nAnswer: d**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112\/9 - 110\/9. Are 1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110220 - 11?\nAnswer: -10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018105 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 42\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 879, -3 in increasing order.\nAnswer: -4, -3, 879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f - 174 = 128 - 542 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 710033423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -100, -32, 41, 5 in decreasing order.\nAnswer: 41, 5, 1, -3, -32, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 18. Let w = -15\/2 - v. Let q be (-15)\/36*27\/90. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 2. Suppose 0 = 3*q - 11*q - 8. Let r be a(q). Let f(k) = -k + 108. What is the units digit of f(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.6 times 2\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/6 - 505*b\/3 + 7021\/6.\nAnswer: (b - 1003)*(b - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (3 - (8 - 18)) + -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4\/3 + 51865*f**3\/3 - 893498*f**2\/3 + 220133*f\/3 = 0. What is f?\nAnswer: 0, 1\/4, 17, 12949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-57)\/(-6)*13. Let x = -9 + v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1 (c) 0.5 (d) -1\/19 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23 and 16?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 0*t - 3*t)*(-2 - 9*t + 2 + (-16 + 0 - 11)*(3*t + 3*t - 5*t)) to the form k + u*t + w*t**2 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 28 = -s, -2*s - 11*o + 6 = -10*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1272.3 and -1.4.\nAnswer: -1781.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.01, -24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-363)\/((-9)\/(-3)). Let b = -50 - j. Suppose -23 = 4*i - b. Is 11 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) 0.3 (c) 1\/4 (d) 136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 14. Suppose -s = -a*s + 208. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = p + 553, 3*b + p + 187 = 4*b. Let z = b + 79. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192160597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 4. Let x(p) = -1. Let w = 46 - 65. Let z = w + 18. Give z*c(b) - 4*x(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 756.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.3 (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + 13*k. Let w(q) = q**2 - q. Calculate -u(j) + w(j).\nAnswer: -4*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 7*k - 7. Let g be j(4). Suppose -17 = -8*i + 5*i + g*o, -5*i + 4*o + 24 = 0. Solve 3*a = i + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11001214 - 224?\nAnswer: 11000440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in minutes?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-4)\/4)\/(-1) - -4. Let m be (o - (-338)\/4)*8. Suppose -3*g - m = -9*g. What are the prime factors of g?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:07 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-16 - 1) + -2 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*y - 4. Suppose 0*n - 44 = -y*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1700)\/(-140) - (-1)\/(-7). Solve 4*a - p = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 8*a**5\/15 - 3*a**3 + a**2 - 65. Let f(w) be the second derivative of b(w). What is the derivative of f(h) wrt h?\nAnswer: 64*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((-5 - -2) + -1728). What is the common denominator of u\/(-168) - 4\/14 and ((-430)\/(-6) - -1)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*x - 2*x = -84, 64 = 5*v + 4*x. Let j be ((-38)\/12*1)\/((-2)\/v). Which is smaller: 26 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 564870 + -524?\nAnswer: 564345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvza when four letters picked without replacement from {n: 2, p: 2, z: 2, e: 1, a: 1, v: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -20, -4*m + 3*z + 8 + 4 = 0. Suppose 3*h - 49 = -0*g - g, m = 4*h. Is g a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1948133 and 899?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 4) to base 2.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9264333 is divided by 751.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -36661014230 rounded to the nearest 1000000?\nAnswer: -36661000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3756257 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*u**2\/7 + 12540*u\/7 + 12592\/7.\nAnswer: -4*(u + 1)*(13*u - 3148)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -18. Solve -5*w - 3 - a = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 22279430*q**2. Let m(p) = p. Calculate m(c(x)).\nAnswer: 22279430*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 45\/2, -4, -0.5, -1\/5, 3?\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56434 + 57164.03. Round h to zero dps.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (30\/(-5))\/3. Solve -11*s + m - 8 = -7*s, -m = d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (30429\/759 - 48)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkq when three letters picked without replacement from {q: 5, k: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 1051*b**4\/2 + b**3 - 5*b**2 - 165*b - 6304. What is the second derivative of k(d) wrt d?\nAnswer: 12612*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 10:09 PM?\nAnswer: 515","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 8. Let i(g) = -6*g + 54. Let v(a) = -4*i(a) - 27*u(a). Let q(o) = -5*o + 2. What is v(q(k))?\nAnswer: 15*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/3060 and -93\/680?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 22. Let i be (0 + -33)*8\/s. Solve -2*f + 4*f + i = -4*c, 5*f = 5*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 15*a**2 + 15*a - 12. Let f be b(14). Find the second derivative of 5*c**f + c**2 - 12*c - 3*c**2 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 12:49 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1425) - sqrt(1425))\/sqrt(3) - (sqrt(19) + -5 + sqrt(209)\/sqrt(11))*-6.\nAnswer: -30 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1101*o + 5*d = 1107*o + 32, -o - 5*d - 17 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 484306680 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792784.\nAnswer: 2, 3, 83, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v + 5. Determine a(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18140397*c**3 + 672510*c**2 + 18*c.\nAnswer: 108842382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndmew. What is prob of picking 1 w and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 375 = 23*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3184576 (base 10) to base 8\nAnswer: 14113700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/4 - g**3\/8 + 6*g. Suppose r(k) = 0. Calculate k.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*t - 9*t. Suppose 3*c = 2*k + 37, -t*c = -7*c - 2*k + 67. Solve -4*w = -5*f + c + 4, f = -w - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13*a**3 - 3*a**2 - 2*a. Let j(i) = 27*i**3 - 5*i**2 - 5*i. Let v(h) = 2*j(h) - 5*n(h). What is the third derivative of v(c) wrt c?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 129861?\nAnswer: 19\/129861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1176 divided by 168\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 6. Let q(t) = 3 - t + t**2 - 3. List the prime factors of q(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -7306?\nAnswer: 7313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2 + 4. Let g(d) = -76 - d**b + 76. Let a(m) = -2*m. What is g(a(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1589*r - 11743 - 31821 = -705*r + 25256 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.975, -0.06, 4 in increasing order.\nAnswer: -23, -0.975, -0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m + 3*x + 18, m = 2*x + 16. Let k = -12 + m. Solve k = 4*h - 16, -4*l - 2*h - 2*h = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/285661 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458857763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-12) - 1) + (108699156\/216 - 18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1806693, -1806688, -1806683, -1806678, -1806673, -1806668?\n\"Answer: 5*d - 1806698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/1*4\/12. Suppose -3*u + 8 = -y + 2*u, a = 2*y + 2*u. Solve -10 = -4*k + y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 + 22 = -3*i, 2*i = j - 15. What is the closest to j in 1, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 8 = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 19*t**2 + 6*t + 115. Let q be s(-19). Let o be 3 + -2*(0 - q). Solve 2*y - 5*x - 3 = -5, -o*x = 3*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.89 - -1. Let r = -0.05 - o. Let u be (-559)\/(-2451) - (-1)\/(6\/(-2)). Which is the nearest to r? (a) 4 (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 - 601*n**2 - 6536*n + 1528. Determine s(311).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-3)*(-15)\/(-5). Suppose 0 = -10*v + 5*v + t. Suppose 5*b + v*y = 110, 3*b - 5*y - 66 = -4*y. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 1, g: 16}. What is prob of picking 1 g and 1 b?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68482 - 68437.981. Let x = h + -44. What is x rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**7\/1050 + m**6\/300 - m**5\/100 - m**4\/15 - 2*m**3\/15 + 6*m**2 + 1. Factor y(c).\nAnswer: (c - 2)*(c + 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 4 + 2 + -7 - 0) + -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 divided by 1?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-278)\/(-2641))\/(30\/9405)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 2*l - 11. Let y be f(-5). Factor 44*q - 16*q**5 - q**2 - y*q**4 - 9*q**3 - 44*q.\nAnswer: -q**2*(q + 1)*(4*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-692)\/(-173)*((-2)\/(-10))\/((-48)\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r**3 + 0 - 4\/3*r**7 - 28\/15*r**5 - 2\/3*r**4 + 0*r - 23\/10*r**6 + 17*r**2 - 25\/84*r**8. Factor d(b).\nAnswer: -4*b*(b + 1)**2*(5*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1183736253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d**2. Let m(i) be the second derivative of i**6\/24 - 5*i**3 + 75*i. Let l(z) be the second derivative of m(z). What is l(j(g))?\nAnswer: 1500*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 364 = -2*b - 13*x, -3*x = b - 162. Let u = 286 - b. Suppose -2*n + 14 = -14. What is the remainder when u is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 4*l**2 + 3*l**2)*(-30 + 4 - 12)*(0*l + 3*l - 2*l).\nAnswer: 38*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930904 is divided by 6169.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -17. Suppose -2*z - 18 = -5*s, 4*s - 2 - 19 = -5*z. Suppose -j*i + s*m + 52 = -0*i, 0 = -4*i + 4*m + 84. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*k + 20*k**3 - 148*k)*((2 + 0 - 1)*(79 - 69 - 37) + (-4 + 4 - 1)*(-3 + 0 + 4) - 3 - 1 + 3).\nAnswer: -580*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + (-62 - (-29 - 3) - -12)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 + 3*g**2 + (0 - 1 + 0)*(-5*g**2 + 2*g**2 + 2*g**2).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*d - 1785 = -80, -2*r = -d - 1135. Suppose -r = 4*x - 205. Let c = -64 - x. Calculate the remainder when 127 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250091123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 955*k**3 - 482*k**3 - 16 + 12*k**2 - 477*k**3.\nAnswer: -4*(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**5\/5 - f**4\/6 + f**3\/3 + f**2 + f. Let k be m(2). Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159373 - 159370. Let j = 11 + -11.8. Let z = j + 4.8. Sort z, -5, r in decreasing order.\nAnswer: z, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 + 14)*(2*w - w + 0*w) - 2 + w + 2)*(-5*w + 10*w + 5*w).\nAnswer: 190*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/7 (c) 12 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -172, -377, -664, -1033?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -168*i**2 - 51571*i + 1554. Give v(-307).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 835, 1399, 1981, 2587, 3223, 3895, 4609?\nAnswer: 5371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3833734, -3833732, -3833730, -3833728?\n\"Answer: 2*i - 3833736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 22 + 136. Suppose -3*n = -2*o + 248, i = 4*o - 4*n - 425. What are the prime factors of o\/12 - 1\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/6*16\/(-12). Let u(z) be the second derivative of z**3\/2 - 7*z**2\/2 + 6*z. Let d(a) = -a + 3. Let q(h) = w*u(h) + 5*d(h). Determine q(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 2, u: 2, x: 4}. What is prob of picking 1 u and 1 r?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -978.8 - -978. Let o = 0.473 + u. What is o rounded to two dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2147021, 2147020, 2147019, 2147018, 2147017, 2147016?\n\"Answer: -g + 2147022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 9:04 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 457245 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 + 0 = 0. Suppose -f - 78 = -82. Let v(h) = h**3 + 9*h**2 + 10*h + 18. Let m be v(-8). Solve 5*p - r = -2*w - 2*w, f*p = m*w + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 7*z - 4. Let o be t(-4). Let r = 47 + o. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 65\/(-26)*8\/2. Is n at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 90*d - 101*d. Factor -14\/9*z**d + 0 - 4\/9*z + 2*z**3.\nAnswer: 2*z*(z - 1)*(9*z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 122 = -s + 2*u, -113 = -2*s - 5*u. Is 4 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 k when four letters picked without replacement from {q: 4, z: 6, k: 2, x: 2, d: 1}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 11*u = -6*u + 60, 4*u = -3*y + 29 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32508, 32506, 32504, 32502, 32500?\nAnswer: 32498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4081.3 + 4108.3. Which is the third biggest value? (a) -3 (b) -0.2 (c) -8 (d) 0.5 (e) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-55)\/(-10))\/((-2)\/(-4)). Let r(l) = l**2 - 13*l + 15. Give r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3821 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and 0.50165023552.\nAnswer: 0.48165023552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42485790.8 and 0.4?\nAnswer: 42485790.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*i + 2*i = -91, -137 = 4*a + i. Let q be (54\/(-4))\/(a\/(-44)). Let j = q - -69. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2097 and 0.08134.\nAnswer: -2096.91866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*h + 28, -2*w = -2*h - 0*w - 2. Suppose -3*x + 0*t + 132 = h*t, 156 = 3*x - 5*t. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 0. Let u(p) = -8*p + p**3 + 3*p - 9*p**2 + o*p**3 + 10 + 15*p**2. Suppose 0 = 4*k + a + 25, 4*k = -a + 4*a - 37. Calculate u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhh. What is prob of sequence hh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356, -716, -1076?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -462*q**2*r**2 + 4905*q**2*r*s + 847*q*r**2*s - 3*q*s - 122*r**2 wrt q.\nAnswer: -924*r**2 + 9810*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37597*j**4 + 12*j**3 - 5504*j**2 - 8*j + 49 wrt j.\nAnswer: -902328*j + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**4 + 11448*j**3 + 4*j**2 - 11448*j = 0.\nAnswer: -1, 0, 1, 2862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 111*d - 803. What is l(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-12)\/((-16)\/(-4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**3 + 3*c**3 - 8*c**2 - 67*c + 3*c**3 + c**3 + 151*c as i*c**2 + q*c**3 + p*c + j and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(28)*1)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/20 and -33\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 102\/18 + 2\/(-12) and 39\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - k**2 - k - 2. Calculate q(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + -2*sqrt(891) + 4 + -3 + 0) + 4)**2.\nAnswer: -108*sqrt(11) + 32077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(4 + (sqrt(120)*2 + sqrt(120))\/sqrt(6)) + 2)*6 + 2)**2.\nAnswer: 23616*sqrt(5) + 110404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*s**4 + 318*s**4 + 2 - 184*s**2 + 186*s**2 in the form w*s**3 + t + o*s + c*s**4 + j*s**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3940, 3936, 3932, 3928?\n\"Answer: -4*w + 3944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-9 - (-1 - 17)) + 1 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*r - 9*r + 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 675 + -432. Suppose -l + v = 2*l. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-70779)\/9)\/(33\/(-99)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 5*s + 6. Let v be r(6). What is the common denominator of v\/28*2\/(-2) and (1\/(-4))\/1 + (-30)\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:53 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 15, s: 5}. What is prob of sequence es?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.64 times 5.61?\nAnswer: -31.6404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*h - 2*o, 8*h + 2*o = 9*h - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51912220881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2 + 23*a + 27. Let t(g) = g**2 + g - 1. Let p(s) = h(s) - 6*t(s). Suppose 3*c + 48 + 9 = 0. What is the remainder when p(c) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7*m)\/((m*m**(-7))\/m*m))\/(m*m\/(m*m\/(m\/m**(-1)*m))*m*m)**(7\/6) assuming m is positive.\nAnswer: m**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100782778 is divided by 72.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 715 and 3640.\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*z + 7*z**2 - 33*z - 6*z wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*s - 159600 = 137*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216535781.817 less than 55?\nAnswer: -216535726.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 2*i + 2*i - 174 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476458260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23782085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*(-35)\/14.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v + 3*o - 3, 0 = -5*v - 2*o + 2. Suppose -3*q + 5*r - 3 = v, -2*q - r + 9 = -2. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let m(y) = y**3 - 5*y**2 + 3*y + 6. Let x be m(5). Let i be (1 + (-15)\/x)*7. Suppose i*p = -p - 3. Calculate c(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 16 + (-12 - -18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013517247358 rounded to 6 decimal places?\nAnswer: 0.001352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -112893 divided by -11?\nAnswer: 10263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-7 - (-3 + 6)) + -4 + 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2536188 and 75.\nAnswer: 63404700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58537.\nAnswer: 58537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (14 - 2 - -6)) + (-1 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2620 is divided by 297?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 21*k**2 + 3*k - 7. Let x(n) = 18*n**2 + 2*n - 8. Let b(q) = -3*o(q) + 2*x(q). Let m(a) = 688*a**2 + 128*a - 128. What is -128*b(u) - 5*m(u)?\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313.09 - 311. Let n = -0.09 + r. Suppose 16 = -2*k - 3*d, -5*k + d - 2 = -d. Which is the third smallest value? (a) k (b) 0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173140933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001832 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -232108869 and -132.43.\nAnswer: -232109001.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-90)\/(-315)*3423*60\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - ((sqrt(77)*-2 - sqrt(77)) + sqrt(77)))*-5)\/sqrt(7).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v - 1. Let h be c(1). Suppose -h*a + a + 2 = 0. Let b be 0*(0 + a\/4). Solve -3*y + 3 = b, -z + 10*y - 5*y - 5 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3438*f**2 - 641*f**2 - 1008*f**2 + 3047*f**2.\nAnswer: 4836*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5 + 3 + sqrt(5) + sqrt(5))**2 + (sqrt(5)*-2 + 4)**2 + sqrt(5))*1.\nAnswer: -600 - 85*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395422\/115 or 3439?\nAnswer: 395422\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13101300 + -2?\nAnswer: 13101232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7040 divided by 16304?\nAnswer: 440\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 5, a: 2}. What is prob of picking 1 a and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26686472 to the power of 1\/2, to the nearest integer?\nAnswer: 5166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-348 - -368) + 10 + (-11 - -5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501 is divided by 146.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-124)*(-1059022)\/2356?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + (sqrt(500)*-2 - sqrt(500)))\/sqrt(10) + 2*((sqrt(18))**2 + 0).\nAnswer: -10*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000040714 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.94 - -0.06. Let p(g) = -g**3 + g**2 + 3*g + 1. Let j be p(2). What is the smallest value in 0.1, f, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*j = 0, -4*j + 4 = -5*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123042503 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5215477 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 16*f = -12. What is the closest to -1\/4 in 3, 3\/11, -3, f?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 74?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvbvvttvtbt. What is prob of picking 2 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 191*q + 683*q + 2731*q.\nAnswer: 3605*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 36 = j. Calculate the least common multiple of (j\/5)\/(12\/40) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 3, a: 4}. What is prob of sequence aza?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 - -190. Let n be (0*(-10)\/u)\/(-1 + 0). Factor 1\/4 - 1\/4*w**2 + n*w.\nAnswer: -(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -12. Find the second derivative of -3*h**2 + 4*h - h**c + 2*h**2 wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(6\/19)*l)\/l**15)\/(l**(6\/19))**(-8\/11) assuming l is positive.\nAnswer: l**(-148\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 16. Let r = -0.0013 + 0.2013. What is the nearest to 0.4 in r, l, -6\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29186304 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.94 - -71.06. Let r = l + -63. Which is the second biggest value? (a) r (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31461\/100 - -1259\/4. Let d = -140 + 10502\/75. Let a = n + d. Sort a, 0.4, 6\/11 in decreasing order.\nAnswer: 6\/11, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 4*p**2 + 2*p + 5. Calculate s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Suppose -l = o*l - 185. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23502121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 20 - 25 = -6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buijssubisiissujbuj. What is prob of sequence si?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 80 - -34a5a?\nAnswer: 34b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/10 + 575\/125. Let n(w) = w - 2. Let o(r) = -5*r - 3. Let d(i) = 3*n(i) - o(i). Let t(k) = 9*k - 4. Calculate u*d(s) - 3*t(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8*u*u\/(u**(-6)*u)*u)**2\/((u\/((u\/(u\/((u*(u**(-1\/3)*u)\/u)\/u)))\/u))**46\/(u**(-2)\/(u\/(u*(u\/((u*u**(-5)*u)\/u))\/u)))) assuming u is positive.\nAnswer: u**(-220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 s when four letters picked without replacement from {v: 1, m: 5, s: 7}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 i when four letters picked without replacement from lislslsllisslill?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -235.\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -30222031030?\nAnswer: 30222031022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*2)\/(2\/(-3)). Is ((-10)\/d)\/((-6)\/(-18)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11497*o - 17934 - 1016796 = 0 for o.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 3, -1\/4, -0.052?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/1995*(352\/616 - (-4)\/((-56)\/(-6)))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 164 times 566469\nAnswer: 92900916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242521694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*a + 69, 2*j + 4*a = -j + 112. Let w be 2 - j\/21 - 0. Do 1 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -33. Let m be z\/(-4)*(1 - -69). Is 6*m\/(-56) + 3\/4 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3*a + 0*a)*(-49615 - 291*a**2 + 49615)*(-12*a + 4 - 4).\nAnswer: 6984*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21005.\nAnswer: 5, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-1*sqrt(343))**2)*6 + (0 + sqrt(28)\/sqrt(4) - (-1 + sqrt(21)\/sqrt(3))) - ((sqrt(343) - (sqrt(343) + -1)) + -4 + -2*sqrt(343)*3)**2.\nAnswer: -14414 - 246*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/6 + 13\/2. Factor -8\/3*j**2 - y - 2\/3*j**3 - 10\/3*j.\nAnswer: -2*(j + 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3472 (base 8) to base 9\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, m: 3}. What is prob of sequence mmi?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2495339, 4990670, 7485999, 9981326, 12476651, 14971974, 17467295?\n\"Answer: -r**2 + 2495334*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -2\/3, -23, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 318.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/177, 75, 7, -6.1?\nAnswer: 1\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 995807382?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*z**2 - 83712*j*z - 216*j - 41*z**2 + 23436*z + 1 wrt j.\nAnswer: z**2 - 83712*z - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 4. Let w be n(6). Let r = 15 + -16. Let z be w\/(-4)*0\/r. Solve z = 4*s - 9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6709348?\nAnswer: 2, 1677337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1466 - 506 = 20*v. What is the greatest common factor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2)**2\/(((k**(1\/7)\/k)\/k*k)\/(k*(k*k*k*k**(-3)*k)\/k)) assuming k is positive.\nAnswer: k**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24101, -48282, -72475, -96686, -120921?\nAnswer: -145186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 156*t - 12624. Determine v(80).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -283 + 288. What is the second smallest value in 1, m, 46?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25\/2 + 12. Let g = 2.9 + -0.9. Put -4, i, g in ascending order.\nAnswer: -4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:31 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*z + 42 = -45 + 97, -4*m + 13 = 2*z - 3*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-84))\/((28032\/(-896))\/219)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*f**3 + 245*f**2 + 3140*f - 800.\nAnswer: -5*(f - 20)*(f + 8)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28877 + -28830. Calculate the remainder when (-2)\/(-8) + (-739)\/(-4) is divided by g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 13. Is 7 a factor of h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16225 is divided by 4043?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -603 + 601. Let h = -39 - -159\/4. What is the fourth smallest value in -12, h, 0.2, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/176 (b) 0.4 (c) 122 (d) 2 (e) -0.03 (f) -1 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11415, -22809, -34181, -45519, -56811, -68045?\n\"Answer: 2*a**3 - a**2 - 11405*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -10)*28\/3. What is the greatest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 239046955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, g: 13}. Give prob of picking 2 g.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5\/4 + 219*a**4\/4 + 639*a**3\/4 + 633*a**2\/4 + 105*a\/2 = 0. What is a?\nAnswer: -70, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*t = 253 - 4073 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 u, and 1 s when three letters picked without replacement from {x: 1, b: 1, s: 6, u: 5, q: 2, w: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4064364 divided by 6?\nAnswer: -677394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210122012002211 + -12?\nAnswer: -210122012010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**4\/12 + 2*z**3\/3 - 7*z**2. What is the first derivative of t(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -950?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 64 = 84 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 - 1 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*t + 943302, -h + 708903 + 548808 = 4*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -18 - (-5 + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1528\/7? (a) 3\/2 (b) 2 (c) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 11 = z, -4*l + 2*l + 19 = -5*z. Find the second derivative of 3*t - 284*t**2 + l*t + 289*t**2 wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1023\/22)\/(-31))\/(11\/(-2))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 12 = 5*l, -5*l - 29 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -256 + 263. Let r = 2\/110763 + -40428571\/4208994. Let i = 19\/2 + r. What is the third smallest value in d, i, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14210 bigger than -15742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-36))\/((-24)\/720*(-1155)\/28)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -11 + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8364 and 85?\nAnswer: 41820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - s**2 + 2*s**2)*(3*s - 2*s + s)*(-3257 + 3257 + 168*s).\nAnswer: -336*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 436\/7. What is the third smallest value in d, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201955\/8 + -25326. Let p = b - -82. What is the closest to 0.1 in p, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115.19 - -11.19. What is the nearest to 1 in 3, -2\/9, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/19 (b) 5\/16 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a**3 - 5*a**2 + 2*a - 3. Let m(k) = -4*k**3 - 2*k**2 + k - 1. Calculate 5*m(x) - 2*t(x).\nAnswer: -4*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752 - 32 = -43*d - 53 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 68 + 121 = 0. Let f = m - -47. Solve -2*a + 0*i + f = 5*i, 3 = -3*a + 3*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1496 divide 90519968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from hhkkjmskjjoho?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -29. Suppose 2*l + 117 = 5*m, 0 = f*m - 2*m - 5*l - 55. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-198)\/(-8) + 1\/8*-6. Suppose l*s - 22*s - 12 = 0. Solve -4*f = -s + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2\/(4\/(-2))). Suppose -v - 2*v = r. Let z(g) be the third derivative of -g**6\/120 + g**4\/24 - g**3\/3 + g**2. Determine z(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 27*z**2 + 8*z + 992. What is the hundreds digit of x(-31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(75) + 2 + sqrt(75) - (-5 + sqrt(27)\/sqrt(9))) + (sqrt(3) + sqrt(243)*-6 - (sqrt(192) + sqrt(192) + 2*sqrt(192) + sqrt(192)))))**2.\nAnswer: -1176*sqrt(3) + 21217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2139, -2196, -2251, -2304, -2355, -2404, -2451?\n\"Answer: x**2 - 60*x - 2080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(209)\/(sqrt(11) + sqrt(110)\/sqrt(10) - sqrt(11)))*3 - (sqrt(171) + 4 + sqrt(171)*4 + sqrt(171) - sqrt(171)))**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*q - 3453 + 2269 = 0 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 53*i**2 + 7629*i - 692. Give z(-144).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 3*n - 1. Let s(h) = -105*h**2 + 13*h - 545. Let t(q) = -5*g(q) + s(q). Differentiate t(r) wrt r.\nAnswer: -230*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -3460630?\nAnswer: 3460622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16200971.\nAnswer: 523, 30977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30152 + -30152. Put 9, 1, -26, -5, n in increasing order.\nAnswer: -26, -5, n, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 895*f*k*t**2 + f*t**2 - 144*f - 3*k*t**2 - k*t - 83*t**2 with respect to k.\nAnswer: 895*f*t**2 - 3*t**2 - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -54, -97, -132, -159?\n\"Answer: 4*r**2 - 55*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12099\/2486 - 4\/1243. What is the common denominator of s and 79\/174?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*n + 782991, 2*l = 3*n - 74303 - 447706. What is l rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4\/((n\/(n*n**(-3)\/n))\/n)*n**1\/n**(-2\/11) assuming n is positive.\nAnswer: n**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*z - 2*z**2 + 22*z + 4*z**2)*(-2*z**2 + z**2 - z**2).\nAnswer: -4*z**4 - 152*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 2*j**2 + 0*j**2)*(19*j + 42 - 42 - j + 3 - 3 + 3*j - 2*j - 2*j + (-2*j - 3*j + 7*j)*(-3 + 0 + 2) + 3*j - 6*j + j).\nAnswer: 26*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 969011*f + 5814070. Determine h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -5)\/(36\/3). Let p = -3.5 - -3. What is the third biggest value in p, i, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 1 - 5*b**4 + 5 - 6*b**2 + 3*b**3 - 3 - 4*b in the form w*b**3 + n*b**2 + l*b**4 + z + y*b and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104613811?\nAnswer: 104613811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpurdp. Give prob of sequence udp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -14 - (-3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, 5, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -6\/7, 5\/14, 0.5?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1. Let m(w) = -3*w + 11. Let x(u) = -8*u + 32. Let a be 8\/20 - (-18)\/5. Let j(s) = a*x(s) - 11*m(s). Let i(h) = -3*c(h) - j(h). Calculate i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.07 (b) 4 (c) -2\/9 (d) 0 (e) -87 (f) 591\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256*l**5 - 14*l**3 + 318*l + 60 wrt l?\nAnswer: 5120*l**3 - 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 912291, 1824407, 2736523, 3648639?\nAnswer: 4560755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*u - 49*u - 1225 - 448*u**2 + 1225 to the form c*u**2 + t*u + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/1*(-4)\/10. Suppose 2 = 4*r + 2*u, 0 = -r - u - 3*u - 10. Let o be (r + -1)*(-1)\/f. Which is the second biggest value? (a) 2 (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 4, x: 3}. Give prob of sequence so.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 28*z - 4*p - 34384 = 0, p = -4*z + 34354. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1628)\/(-14) - (-8)\/(-28). Suppose 0 = -2*t + 4*n + 66, t - n = 15 + 16. What is the highest common factor of t and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0533*-4.494\nAnswer: -0.2395302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d = 5*q - 75, 2*d - 45 = -3*q. Calculate the greatest common factor of 105 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 194094 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23131 - -20249. What is the nearest to 0.1 in -0.1, -3, z, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26 and -99.2.\nAnswer: -73.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((v**6*v)\/v)\/v)\/v*v)\/v)\/v)\/v**(-2\/9)*v**2\/v*v**(3\/5) assuming v is positive.\nAnswer: v**(217\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 - -771\/11. Let y = 428 - 424. What is the third smallest value in 2, n, y, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgwmdmdawgmw. What is prob of sequence wam?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3859, 30855, 104133, 246835, 482103, 833079, 1322905?\nAnswer: 1974723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16116 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9696768 milliseconds?\nAnswer: 0.00001616128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -175 + (157 - 39)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 4*i - 5*q - 3, 5*q + 15 - 78 = 4*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 3*r + 5. Let d be i(-6). Let p = 66 - d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*-3*2.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23360 (base 10) to base 13\nAnswer: -a82c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2275*g - 150843. What is w(66)?\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 16*s**2 + 29284*s\/3 + 2440\/3 = 0.\nAnswer: -610, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - p**4 + 0*p + (-2*p - 3*p + 3*p)*(2*p**3 + 4*p**3 + 0*p**3).\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 62 + 15*k**2 + 5*k**2 + (-2*k**2 + 0*k + 0*k)*(2 + 1 - 4)*(-1 + 2 + 0) as t*k + f + r*k**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 30\/(-5))*88\/(-6). Let c = -87 - h. Let t = 0.3 - 0.8. What is the closest to c in t, 0.09, -3\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 4*u**2 - 5*u + 5. Let f = 38 + -26. Suppose f = t + 7. Let b be l(t). Put -4, b, -2 in descending order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/144 + 2 + 68\/(-32). Let c = 0 + 2. Sort u, 1\/5, c in decreasing order.\nAnswer: c, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 7. Let m be x(7). Let p = 44 - m. Suppose -3*b - p = -8*b - 2*u, 4*b - 54 = 5*u. Calculate the remainder when 41 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 570044.207 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -32) + -2 + 2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000621073 rounded to 7 dps?\nAnswer: -0.0000621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/3 + 8182*i**2 - 5725460*i\/3 + 1900304 = 0.\nAnswer: -12502, 1, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 18 = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*g + 18*g + 45. Suppose -13*n + 316 = -g*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -361, -721, -1081, -1441, -1801?\n\"Answer: -360*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1829 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*n - 1655 + 3223 - 1645.\nAnswer: 122*n - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*p - 2, -5*w - 2 = p + 10. Suppose -4*y - 8 = 40. Let d be ((-2)\/4)\/((-63)\/y). Which is the nearest to 2? (a) w (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -677 + 2493. List the prime factors of l.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.06, 4, -4\/1777, 2, -1\/12, 210, 0?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2 - 9720*g - 11613862 = 0. Calculate g.\nAnswer: -2743, -2117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/2733835 and -26\/16885.\nAnswer: 30072185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -24 - (141 + -98 - 15)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 38*t**3 + 12*t + 42*t**3 - 5*t to the form s*t**3 + w*t**2 + j + v*t and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2494 + -2485. Solve i*a = 5*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 7:45 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -11. Suppose 2*u - 4*c = -12, -c + 6 = 2*u + c. Suppose -2*h - 2*h + 4 = u. Is h greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1615161243 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*x**3 + 25*x**3 + 27*x**3 + 34*x**4 + 5745 - 74*x**3 + 202*x**4 wrt x.\nAnswer: 944*x**3 + 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56, 79, 110, 155, 220?\n\"Answer: m**3 - 2*m**2 + 22*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/2 - 75*b**2\/2 + 252*b - 216.\nAnswer: 3*(b - 12)**2*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/(-72)*(-3 - (-858)\/(-16)) and 71\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 17. Which is bigger: -1\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*v - 7*v. Suppose s = 2*s + v. Suppose 4*n = 4*o - 12, 0*n - 3*o = n - 17. Put s, -0.1, n in decreasing order.\nAnswer: n, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = -c. Solve -5*u - 14 = c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oohf. What is prob of sequence of?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-3 - -6)*1). Suppose y = 2*r - 7 + 1. Solve r*u = 5*u + 2*h - 10, -4*h = -2*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 546 - 516. Calculate the highest common divisor of 320 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/2, -0.14, 3 in ascending order.\nAnswer: -0.14, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210469402 is divided by 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6050 - 6070. Let t(o) be the third derivative of o**6\/120 + 7*o**5\/20 + 3*o**4\/4 - 5*o**3 - o**2. Does 10 divide t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 1.7 (c) -1\/4959\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-14))\/(2\/(-28)). Suppose 0 = -3*s + 11 + 19. Let a(u) = u**2 - 2. Let o be a(-2). Solve o*y - s = -r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*j = -154892 + 148971 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (822*(-8)\/(-48))\/(9 - -32). Is k at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c25 (base 14) to base 8\nAnswer: -24571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146596.6 - -1298932.\nAnswer: 1152335.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -147, -135, -85?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47043 is divided by 280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 + -9.2. Let v = f + 8. Which is the biggest value? (a) 3 (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 127698*x - 127701*x, -8*x - 8 = -4*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 69*o**2 + 7*o + 7. Let i be a(-1). Find the third derivative of 3*v**2 + 22*v**4 + i*v**4 - 42*v**4 + 84*v**4 wrt v.\nAnswer: 3192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694090656 to the power of 1\/2, to the nearest integer?\nAnswer: 51905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -c + 7*y - 8, -2*y = 3*c. Let v be -2 + 2 + -1 + 4. Suppose 3*a = -3*u - 15, -8*u + 15 = -3*u - 3*a. Put v, 4, c, u in decreasing order.\nAnswer: 4, v, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 464*d. Let n(w) be the third derivative of -5*w**4\/12 + 4*w**2 - 79*w - 1. What is n(o(i))?\nAnswer: -4640*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**5*n**2 + 528*j**4*n**2 - 121*j**2*n**2 - 2*j**2*n + 2 wrt j?\nAnswer: 120*j**2*n**2 + 12672*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2605 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 - 134*r**2 + 0*r**3 + 0*r + 3\/44*r**4 - 1\/660*r**6 - 4\/165*r**5. Suppose b(o) = 0. What is o?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5786 = 19828*a - 2016670 for a.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2033 - -21000?\nAnswer: 23033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z. Let s(r) = -6*r**2 + 2*r - 3. Let d(x) = -5*l(x) - s(x). Calculate d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 8*d**2 + 8*d - 8. Let z be w(-9). Let p = z - 10. Let r = 9 + p. Solve -o = -r*o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47637 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 6*z + 5. Let s be r(5). Let k be (-18)\/21 - (3 + s\/14). Suppose -28*g - 24 = -22*g. What is the second smallest value in g, -6\/7, -2\/15, k?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13639 and -1\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*l**3 + 18 - 28*l**3 - 14 - 6 - 4 in the form x*l**3 + q + s*l + j*l**2 and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -5*q**6\/6 + 16*q**5 - 315*q**4\/4 - 80*q**3\/3 + 160*q**2 + 34. Determine j so that w(j) = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1265 and 51359?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 equal to 2.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 1)\/1 - 16. Let a = s - -15. Calculate the smallest common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 o, and 1 y when four letters picked without replacement from yyoojovaaaojaooy.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 5\/6, -2\/13, 1, -23\/4, -2\/3?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -683 + 689. Let u(d) = d**2 + 4*d - 9. Determine u(f).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 175.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 19 - 401 = 0. Suppose 7*d - 7 - k = 0. Put 5, 4, -5, d in descending order.\nAnswer: d, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5064.121l?\nAnswer: 5064121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*8\/4*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10956 - 10956.3. What is the nearest to b in -2\/13, 0.4, 0.1, -0.01?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 184*p**2 + 13*p + 2. Is m(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*k + 20*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1883 = -4*r - 1377, -4*p - 4*r = -3276. Suppose 34 = -4*c - g, 3*g = -3*c + 6 - 36. Let y be p\/(-1672) - 1\/c. Which is bigger: y or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 5*t**2 - 4*t + 5. Let o be a(-5). Let m(c) = -1372*c - 4. Let n be m(-1). Suppose -7*h = -n - o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 8*h**2 + 23*h - 12. Suppose -5*w + 25 = 2*i, 5*i + 1 + 24 = 0. Is s(w) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 15 = -7*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 154104156 divided by -3\nAnswer: -51368052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - d - 3. Let c be g(4). Suppose -c = -5*k, -4*x + 27 = -0*x + 3*k. Solve 0 = 3*m - t + 13, -3*m - 2*t - t + x = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = 2*a, 0 = 2*o - 4*a - 0 - 12. Sort -1, 13, o in ascending order.\nAnswer: -1, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*-1*sqrt(2))*3 + 0.\nAnswer: -3*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16 - -0.44. Let c = b + -1.6. Let x = 6 + c. What is the biggest value in -5, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 2*v + 33. Let k = 20 - 20. What is the units digit of d(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208 - -307. What is the highest common divisor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 - -160. Find the second derivative of 10*r + p*r**4 - 21*r - 21*r - 71*r**4 wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 957085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/28)\/(1362\/(-44492)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -20*p. Let z(f) = -120*f - 10791. What is h(z(a))?\nAnswer: 2400*a + 215820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 282 = -3*g, 2*w - 3*g = -0*w + 120. Suppose -3*x = -3*a - 8*x + 38, 4*a + 5*x = w. Let f be (-12)\/a*(-6)\/(-9). Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/((-1372)\/(-24))*2\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 82*w**2 - 571*w + 41. Give k(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 1018?\nAnswer: -986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/20 + 2*f**4\/3 - f**3\/3 - 7*f**2\/2 + 5*f. Let o be v(-8). Factor 0*b**2 + 2*b**2 + 12*b + o + b**2 + 0*b**2.\nAnswer: 3*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -95, -56, 21, 148, 337, 600, 949?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 60*i. Let r(c) = 6160*c. What is r(u(o))?\nAnswer: 369600*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.1 - -46. What is the nearest to 0.2 in -3, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/203 - 400\/609. Let m = -1 - -1. Which is greater: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*s - 328*s + 3045255 = 377319. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70308*g**2 - 70301*g**2 - 70302*g**2 + 210909*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 3*p - 3, h + 5*p = 4*p + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183816\/(-13156) + (13 - -1))\/((-2)\/(-11))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**6\/6 - u**5\/5 + 5*u**4 - 125. Determine o, given that w(o) = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4\/5 - 192*l**3\/5 - 9216*l**2\/5 = 0?\nAnswer: -96, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -328 - -278. Let x = r - -66. Solve 8 + x = 6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249177639784 - 2\nAnswer: -249177639786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 6*d**2 - 4*d - 4. Let w be h(4). Let t be (1 + 0)*w\/(-20). Let m = 8 - 7.8. What is the closest to -0.1 in m, t, 9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 606046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/9))\/b**(-2\/7)*b**18*b**(3\/10) assuming b is positive.\nAnswer: b**(12199\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -259 + -256 + 510 - (1 - (0 - -21))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19484058 to the nearest integer?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (13 + -18)) + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:24 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 8684590*j - 8684585.\nAnswer: -5*(j - 1736917)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 3513564 a multiple of 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-5 + 0 + -4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-108)\/20)\/((-2)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 4)*(0 + 0 + 2*p) + 73 - 14*p - 73)*(2*p - 2*p + p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 - 140 + 329 = 100*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 4*j - 2. Let x = 9 - 13. Let z be v(x). Let c(m) = -2*m - 3. What is the units digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, l: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1924 and -38.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.59132 - -1.2313. Let q = 30.2 + -29.84. Let c = q + a. What is c rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 6:39 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 270*y. Let j(v) = 8*v**2. What is q(j(p))?\nAnswer: 2160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9412 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8128, -8171, -8296, -8545, -8960?\n\"Answer: -7*n**3 + n**2 + 3*n - 8125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 2*r - 2 - 5. Let z be 11 + (-1)\/(3\/9). Is c(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3641*j + 3611*j - 9*j**3 - 7252*j.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1286 - 1286 - 9*w - 1280 + 5143 - 1291.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thbntztbbtb. Give prob of picking 1 b and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*s + 0 - 3 = 0, 3*a = 3*s + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 3*l - 1\/6*l**4 + 5\/2*l**2 + 0 + 0*l**3. Let h(t) be the first derivative of j(t). Let o(w) = 2*w**2. Calculate o(h(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*l + 86 - 83 = 0, 0 = -2*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 77, 5, 0, -87, -206, 2 in increasing order.\nAnswer: -206, -87, -1, 0, 2, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - h + 12 + 41, -3*r - 4*h = -68. Suppose -5 = -3*s + r. Solve -3 = -2*t + s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*f + k + 4, -2*k = 0. Let v(t) = -2 + 11*t**2 + 5 - 4*t - 2*t**2. Is 9 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1174, -2301, -3424, -4543, -5658, -6769?\n\"Answer: 2*w**2 - 1133*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 385891400 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((-24)\/(-220)) + 3. Let k = a + 9. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 13*y**7\/70 - 8*y**3\/3 + 6*y**2. Differentiate q(w) wrt w.\nAnswer: 156*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 23847 - 2029 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10308.\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*u + 41, -4*w - 3*u = -0*u - 37. Let j(s) = s + 6. What are the prime factors of j(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.34 - 0.66. What is the biggest value in -1, 4, j, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -1\/4*a**4 + 5\/6*a**3 + 0*a**2 - 5*a - 1\/20*a**5 + 0. Is 10 a factor of t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*h - 706*h = -16991 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 39, 1.1, -3\/5 in decreasing order.\nAnswer: 39, 1.1, -0.5, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 152329 + 0.00206623\nAnswer: 152329.00206623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 29. Suppose -10 = 5*s + j, -j + 5*j = -h. Let b = -149\/6 - -25. Is s not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/f)\/f**(1\/4)*((f*f**(-1\/4)\/f)\/f)**(5\/7)*((f**(-1\/7)*f)**39)**(-2\/31) assuming f is positive.\nAnswer: f**(-1367\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 4 + -3 + 3. Suppose -132 = -f*w + w. Solve -3*z = 12, 5*n - z + 3*z = -w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12455 and 12768 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*z**3 + 0*z - 4\/9*z**2 + 0.\nAnswer: -z**2*(z + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5\/5 - 153*y**4\/5 - 1392*y**3.\nAnswer: 3*y**3*(y - 80)*(y + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26972, 26973, 26974, 26975, 26976, 26977?\nAnswer: 26978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -68 - 56. Let s = m + -26. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 + 2*u**2)*(u**3 - 5*u**3 - 2*u**3 - 6*u**2 + 6*u**2 - 2*u**3 + (0 + 3 - 2)*(u**3 + 0*u**3 + 0*u**3) + u**3 - 2*u**3 + 3*u**3).\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 569206084*g**5 - 656735*g**2 + 24*g + 2 wrt g.\nAnswer: 34152365040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 15 = 5*o - 83, 0 = -4*o + v + 50. Suppose -2647 = 11*l - o*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*c = 11*c - 119 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1601?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -80*b + 1. Let a(w) = 10*w + 1. Let f(z) = -9*z. Let c(o) = -7*a(o) - 6*f(o). What is the remainder when g(-2) is divided by c(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12569 = 32*l - 13159. Let w = l - 2634. Round w to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28350 and 126.\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65979 + 8735. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 13*o + 13. Let k be i(-12). What is the nearest to 2\/9 in -4, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/489 and -71\/126.\nAnswer: 20538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -61280, -60950, -60646, -60380, -60164, -60010, -59930, -59936?\n\"Answer: -2*k**3 - k**2 + 347*k - 61624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-14)*3\/((-120)\/(-28))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23037 + 23085. Calculate the least common multiple of 788 and f.\nAnswer: 9456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 634\/31 - 11392\/651. Let g(k) = -4*k - 30. Let o be g(-9). Calculate the common denominator of ((-22)\/(-8))\/((-6)\/64*o) and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1484 - 5869\/4. What is the common denominator of 9\/5852 and s?\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 201630 - -1?\nAnswer: 201631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**3 - 3 - 3*d**4 + 2*d**2 + 2*d - 5*d**3 - d**3 + 4*d**2 to i*d + o*d**4 + a*d**2 + n + u*d**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:05 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 814646307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*m + 3519 = 0, -2*k - m = -1056 - 362. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1248 = -n, -3*n - 1740 = -2*d - 488. Solve 2 = -d*s + 624*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 1. Let i(b) = b**2 + 30*b + 59. Let v(s) = -i(s) + 5*q(s). Let k be v(-16). Put k, 2, 5, -52 in descending order.\nAnswer: 5, 2, k, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) -1\/2 (c) -1 (d) 3\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 7379039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100101202 + -10?\nAnswer: 100101132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q**2 + q + 7. Does 16 divide c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -0.2 (c) -0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -39, -73, -123, -195, -295?\n\"Answer: -q**3 + q**2 - 20*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -138*v - 3. Let z(y) = 1655*y + 35. What is 35*k(m) + 3*z(m)?\nAnswer: 135*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > 397\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l + 168 = -144 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*h + 1467 - 2070 - 2617.\nAnswer: 249*h - 3220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 144\/(4\/(-12)*-1*3). Differentiate -n*u**2 + 7 + 34 + 158*u**2 wrt u.\nAnswer: 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = 47*l + 485 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v**2 - 2*v - 2. Let m(d) = -17*d**2 - 7*d - 7. Let a(t) = 2*m(t) - 7*w(t). Let u(r) = 152*r**2. Determine 56*a(q) - 3*u(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -8. Find the third derivative of 23*h**3 - 26*h**3 + 25*h**b + 7*h**3 wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143040 - 332?\nAnswer: 142203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 10*c + 13. Calculate the remainder when 99 is divided by o(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30169729?\nAnswer: 137, 220217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 9*t + 3. Let k be p(6). Solve 0 = -0*a + 7*a + k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x. Let u(f) = 8*f**2 + 43867 + 18*f**2 - 43867. Give u(b(a)).\nAnswer: 234*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 1592.\nAnswer: 17512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26\/129 + 7781\/1290. Find the common denominator of t and 20\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozzo when four letters picked without replacement from {o: 8, z: 3}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 25. Suppose -9 = 4*d - 89. Suppose p + d = 6*p, -4*m - p + 4 = 0. Is h(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32225 is divided by 31525?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + sqrt(200)*1 + (sqrt(200)*-1*5 - sqrt(200)))*-2*-6 + 1 + 3)**2.\nAnswer: -96000*sqrt(2) + 3601280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 3. Let i be z(6). Which is the nearest to -2\/9? (a) 2\/19 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510271, 1020532, 1530781, 2041018, 2551243, 3061456?\nAnswer: 3571657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 114 + 234 - y - 117 + 153*y**3.\nAnswer: 153*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4599 + -4559. What is the remainder when 0*5\/30 - 2*-97 is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (5 + sqrt(1872) + -1 - (sqrt(1872)*1 + -3 + sqrt(1872)))*6)**2.\nAnswer: -33120*sqrt(13) + 347540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*u**3*v*z - 68*u**3*v - 4018*u**3*z + 1 with respect to v.\nAnswer: -8*u**3*z - 68*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 216273024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmggggmggmgggggggm. Give prob of picking 4 m.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009283 rounded to five dps?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -15, 0.0217, 2\/13, 50?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4203, 16823, 37857, 67305, 105167, 151443, 206133?\n\"Answer: 4207*w**2 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siii when four letters picked without replacement from siaiasaiia.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4412, -4395, -4372, -4343, -4308, -4267, -4220?\n\"Answer: 3*n**2 + 8*n - 4423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 + 5*t - 5. Let s(g) = -g**3 + 5*g**2 + 8*g - 11. Let l be s(6). Let v be 14 - (4 - 5\/l). Let j(o) = o**3 + o - 1. Give v*j(f) - 3*n(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/189284 and -117\/1174040?\nAnswer: 92749160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 15*d - 5. Let b be (-1 - 0)\/(1\/7). Let i = -17 - b. List the prime factors of l(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 78 - 74 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 17*q - 8. Let b(x) = -x - 25. Let l be b(-17). Let g be s(l). Is g equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/5100*17)\/((-1)\/5). Which is the closest to y? (a) 2 (b) -2 (c) -0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(180\/(-8)))\/((-3)\/5). What is the closest to -1 in 0, -6, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(-19)\/(-57)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose 0*o = w*o. Suppose o = 7*k - 2*k - 50. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7759159?\nAnswer: 37, 209707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/((sqrt(90)*-1 + sqrt(90) + sqrt(90))\/sqrt(10)))**2 - (sqrt(66)\/(sqrt(54) - sqrt(6))*-6)**2.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13*m**2 + 295*m + 51. Let i be c(-26). Calculate the highest common factor of i and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-79)\/(-158) + 6\/(-4). Which is the fourth smallest value? (a) 197 (b) -2 (c) g (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4503 is divided by 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d + 5. Let y be -2 + 7 + (-3)\/(2 + -1). Let x be c(y). Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 51910933.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c - 28*c - 16*c to b + a*c and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37008216 or -37008221?\nAnswer: -37008221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -359, -739, -1145, -1583, -2059, -2579, -3149, -3775?\n\"Answer: -f**3 - 7*f**2 - 352*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2835.1130022 - 2834.863. Let b = w - 0.25. What is b rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18*d + 165. Let a(m) = 26*m + 249. What is 5*a(i) - 7*f(i)?\nAnswer: 4*i + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/405 + -49\/81. Is 0 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l**(-1\/4)*l*l))**(-1\/36) assuming l is positive.\nAnswer: l**(5\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11799 divided by -513\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**5 + 3060*c**4 - 235990*c**3 + 4416300*c**2 - 4183375*c = 0 for c.\nAnswer: -683, 0, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 8}. What is prob of sequence aau?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v + 2*v. Suppose -4*w - 4*m + 47 + 13 = v, 2*m + 54 = 5*w. Let t = 14 + 22. Calculate the highest common divisor of t and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1346, -4231, -7102, -9953, -12778, -15571, -18326?\n\"Answer: m**3 + m**2 - 2895*m + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2035, 8087, 18175, 32299, 50459, 72655, 98887?\n\"Answer: 2018*f**2 - 2*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/7)*k*k\/((k*k*k\/k**9*k)\/k))\/(k\/k**(-10)*k\/(k**(-10)\/k)) assuming k is positive.\nAnswer: k**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 227220 and 45444.\nAnswer: 227220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -182*t**2 - 4*t + 370*t**2 + 4*t - 187*t**2. Let d(x) = -8*x**2 + 133. What is d(k(m))?\nAnswer: -8*m**4 + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52232?\nAnswer: 2, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 854495400 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.66 - 11.44. Let v = i - -13. Let k = v + 5.1. Which is the closest to -2\/7? (a) -5 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 6:28 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.33649 tonnes to kilograms.\nAnswer: 77336.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeueueuu. What is prob of picking 3 e and 1 u?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/40 - 593*j**4\/8 - 351649*j**3\/4 - j**2. Determine p so that q(p) = 0.\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7 + 8\/7*y**2 - 4*y.\nAnswer: 4*(y - 3)*(2*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84905, -85372, -85841, -86312, -86785, -87260, -87737?\nAnswer: -88216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*y - 58*y = -2*w + 49*y - 12, -3*y + 62 = -5*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3860*r + 54095. Determine n(-14).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06902575 - -0.06912. Round y to six dps.\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -33, 9, 2\/5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 255*r**3*w**3 - 52*r**3 + 2*r**2*w**3 - r*w + 3*w**3 + 6 wrt w?\nAnswer: 1530*r**3*w + 12*r**2*w + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4\/7, -392.07 in descending order.\nAnswer: 4\/7, 0.4, -392.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11528716421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18670, 37347, 56024, 74701, 93378?\nAnswer: 112055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270033?\nAnswer: 3, 90011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 5*l + 42. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15 - (0 + -1) - -2. Let t = -21 - l. Let s = t + 20. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2217, 5776, 15425, 34206, 65161?\nAnswer: 111332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 9:19 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1712090777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 6\/3935, -1\/2, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 35*d - 40*d. Let l(z) be the third derivative of -1\/24*z**4 + 0 + 0*z - 1\/2*z**3 + d*z**2. What is the first derivative of l(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -12. Let u be w\/(-12) - (-4)\/6. Suppose u*b = 3*b - 15. Solve 4 = -3*n + 16, -b*z = 5*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -84*z + 694. Give k(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*q - 6. Let o be 4 + -1 + (-3)\/q. Suppose o*c = 59 + 89. What is c rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c - 117. Let l be u(11). Solve -29*k - 30 = -32*k + 3*n, 0 = -l*k + 5*n + 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -3*t. Suppose -4*v - 5*m - 4 = -15, -2*m + 14 = t*v. Calculate the smallest common multiple of v and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18597*-1\nAnswer: -18597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 1. Let a(w) = -w**3 + 6*w**2 + w - 5. Let g be a(6). Let p be g*-3 - (-7 - 0). What is the units digit of b(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 20 - 16 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*p = -129181, -p = 3*k - 149063 + 19878. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y*y*(y**(-3)\/y)\/y*y)\/(((y*(y**(-6\/5)\/y)\/y*y*y)\/y)\/y))\/(y**15*y*y**(-8)*y*y))**1 assuming y is positive.\nAnswer: y**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-516)\/(-54) - (56 - 69 - (-21 - 2)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521695?\nAnswer: 5, 103, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -2*q - 5*q. Suppose -128 = -q*c + 13*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4758, -4752, -4750, -4758, -4782, -4828, -4902?\nAnswer: -5010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/133 and 59\/114494.\nAnswer: 801458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36910945765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*p - 255, -6*p + 4*h = -p - 305. Suppose -3*v - 26 = d, 5*d + 4*v + 48 = -38. Let r = d + p. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 35*y = -374. Let w(l) = -2*l + 25. Give w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:20 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -742, -3011, -6800, -12109, -18938, -27287, -37156?\n\"Answer: -760*j**2 + 11*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 4*i**2 + 2*i - 5. Let r be z(4). Suppose 0 = -5*t - 63 + 78. Suppose 5*j = -r*s + 67, t*j - 5*s - 11 = 2. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -14*l + 109. What is m(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 5*s**2 + 13*s + 15. Let a be h(-2). Which is greater: a or 3\/100?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Sort z, -3, -5 in decreasing order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dccggwc. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1 + 2 - 2 - 5*t. Let k be o(-6). Suppose -g + k = 2*a, g + 4*g - 17 = -2*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**2 - 33*o - 193. List the prime factors of p(23).\nAnswer: 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28375, -48316, -68257, -88198?\nAnswer: -108139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myq when three letters picked without replacement from rmyqryyym?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/7, -3, -2\/3 in ascending order.\nAnswer: -3, -1, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -223 by 4.\nAnswer: -223\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 + 2*y + 4. Let c be o(5). Suppose -4 + 1 = -h. Let a be 47\/3 - (-1)\/h. What is the highest common divisor of a and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/5, 5, -3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3. Let o be q(-1). Suppose o*h - 12 = -3*y, 5*h - 3*y + y = 13. Let u = 6\/47 + 23\/188. Put h, -1\/4, u, -1 in decreasing order.\nAnswer: h, u, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/2 of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -15. Suppose 0 = 19*o - 14374 + 1796. Suppose -172 = w*r - o. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 17 = 2*v. Let n be (-4)\/v*(42\/(-4))\/7. Solve -x + n*m = 5, 2*x - 17 = -4*m - m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p - 1. Let b be l(-1). Suppose -12 = -y - y - b*w, y + 24 = 4*w. Let r be 5*1\/5*4. Put 3, y, r in descending order.\nAnswer: r, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 16*z + 66. Let y be v(-8). Let p be (0 - y) + (-8)\/4 + 5. Is p equal to 2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e59 - -32e?\nAnswer: -1b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 6*b - 3*b + 3*b - 24*b + b + (b - 2*b + 3*b)*(1 - 3 - 1) + (-4 + 5 - 2)*(b + 0*b + 3*b) in the form x + t*b and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -1, 0, -1?\n\"Answer: -o**2 + 6*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 25*d**2 - 16*d + 71. Let r be j(25). Let q = 424 + r. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*t**3 + 5*t**3 - 3*t**3)*(-16*t + 90 - 90) in the form p*t**3 + u + m*t + x*t**4 + b*t**2 and give x.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -7 (b) 0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766 = -5*a + 8*a + 4*s, 0 = -s - 1. Do -251 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(20\/3)\/(q**6*q\/((q**6*q*q)\/q*q)) assuming q is positive.\nAnswer: q**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 21 - (862 + -858)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 8*b + 4. Is 4327*(-5 + 4 + b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-108) + 6\/22*2?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -218. Are d and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28193461721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*200.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*m + 52 = -222*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Suppose -5*a + 11 + 4 = u. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7558 - -9646?\nAnswer: 160a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-4 - -1 - -10). Is ((-2)\/s)\/(2\/(-356)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93858, 93857, 93856?\nAnswer: 93855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 31*w - 165. Give m(-12).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:29 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from mhhmkyhmkkkhuhhhmhh?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -23*z**3 - 37*z**2 - 119*z + 5. Is a(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1\/2)\/(45\/120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 4*v. What is the derivative of 5 - 1 - 4*q**3 + 1 + 0*q**v wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 z when three letters picked without replacement from {b: 3, z: 13}.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3b05b6c (base 13) to base 6\nAnswer: 1502103200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.11 (b) 0.7 (c) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yca when three letters picked without replacement from {c: 7, y: 2, q: 1, m: 6, a: 1}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2 + (5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802266285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(57) + sqrt(1425)*-6)\/(-5*sqrt(108) - sqrt(3)))**2.\nAnswer: -19823\/961 - 116*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15890578*0.14\nAnswer: 2224680.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79a8c6 (base 13) to base 5.\nAnswer: -1214121314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**3 - g**2 + 9*g - 9. Determine u(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 57*x - 127. What is p(54)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 21 = -22*l. Suppose 0 = l*d - 15, -5*g - 10*d = -12*d - 1850. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 58*o + 442. Let s be p(49). Solve 5 = -6*r - s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from qqydjsmmddq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(-2*(-3 + -6*(2 + sqrt(1539) + -2 + sqrt(1539)) + -1))**2.\nAnswer: -8865280 - 34560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-12))\/(8\/(-18)). Suppose -39 = 11*r + 5. Which is the third smallest value? (a) r (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.3 * 36.\nAnswer: 334.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 900 and 990?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 - (41 - -31 - -22).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(13) - (sqrt(156) + sqrt(156) + sqrt(156) + 3*sqrt(156))\/sqrt(12)) - (-1 + sqrt(832))) + -4 + (sqrt(91)*2*1)\/(-3*sqrt(1008)))**2 + 3.\nAnswer: 217*sqrt(13)\/3 + 616045\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9543*r + 2*v = -9547*r + 4, r - 7 = -2*v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.321 - 3.521. Sort -0.024, p, -1\/4 in decreasing order.\nAnswer: -0.024, p, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12\/7 + -17\/14. Let c = 0.5 - 0.3. Let d be (-2 - -1)\/(-2 + -1). What is the nearest to d in f, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*g + 64 = -161*g. What is the remainder when 41 is divided by 4\/g + (-134)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.533 minus -0.5?\nAnswer: -5.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 6*b = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 15*i**2 + 1275*i + 81925. Let p(z) = -17*z**2 - 1274*z - 81926. Let f(s) = 5*p(s) + 6*x(s). Factor f(d).\nAnswer: 5*(d + 128)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**4\/2 + 491*w**3\/2 + 13595*w**2\/2 + 99629*w\/2 + 30261 = 0.\nAnswer: -131, -21, -11, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 + (-92)\/(-12). Suppose -w - 16 = -2*t + w, 12 = 5*t + 2*w. Suppose k*j - t*j = 0. Solve z = b + 2*z, -4*b + z + 20 = j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 4 + 7 + h**2 + h - 10 - 5*h. Determine y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 8 = 0. Let w = 55 + -33. Let d(p) = p + 9. Let m be d(-5). Solve -m*r + 17 = -5*q - 4, w = 5*r - b*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 2653*w**2\/2 - 1166. Let c(v) = -2*v**2. What is c(a(d))?\nAnswer: -14076818*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 8*w**2 + 6*w + 2. Let s be j(-5). Find the common denominator of (-1)\/(-2)*1885\/s and -107\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1079*n**2 + 12. Let z(s) = -s**2 - 9. Determine -a(d) - z(d).\nAnswer: -1078*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 12:27 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 9*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1. Let t(f) = -f + 5. Let z(y) = -5*h(y) - t(y). Let j be z(8). Solve m = j - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*((-1)\/2 - 4). What is p in -p**3 + 1\/4*p**4 + 1\/4 + w*p**2 - p = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.538504 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - -26. Suppose -h - 3 + 29 = q, 0 = 3*q - 4*h - y. Suppose -10*p - 731 = -27*p. What is the remainder when p is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 221*w**2 - 4*w - 5. Let b(q) = 223*q**2 - 4*q - 6. Let m(g) = 3*b(g) - 2*y(g). What is the second derivative of m(i) wrt i?\nAnswer: 454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10133031 (base 4) in base 2?\nAnswer: -100011111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11612593.\nAnswer: 11612593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -142555606 and -0.2.\nAnswer: -142555606.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/6 + 427*j**4\/6 - 4465*j**3\/2 + 12005*j**2\/6 + 188978*j\/3 + 58688 = 0.\nAnswer: -4, -1, 7, 32, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2979*b + 18542 = -21*b + 87542 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.5 + -5. Which is the closest to 1\/2? (a) -0.2 (b) -0.07 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*g**3 - 55*g**3 - 60*g**3 + 174*g**3 - g + g**2 - 15*g**4 to the form a*g**3 + r*g**2 + f + o*g + d*g**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6176941.\nAnswer: 6176941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8 = -2*v, -4*v + 4*y = -1 - 7. Suppose -4*n + v*n - 32 = 0. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24077.\nAnswer: 24077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/56 - 1604\/(-14). What is the highest common factor of c and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, i: 5}. What is prob of sequence iii?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/33*198\/1. What is the greatest common divisor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3. Let a be (-16)\/(-4) + -1*2. Let k be d(a). Let s = k - -35. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-745)\/35 + (-6)\/(-21). Let w be 150\/((-4)\/(56\/n)). What is the greatest common factor of w and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -2\/67, 1\/29, 1\/1077 in descending order.\nAnswer: 1\/29, 1\/1077, -2\/67, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28318048 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14*x**(-2\/9)*(x*x\/(x*x**(-4\/7)))**32)**(-36) assuming x is positive.\nAnswer: x**(-16144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11 = c - 1, c + 4*d - 17 = 0. Let z(y) = -y**2 - 3*y - 3. Let s be z(-2). Calculate the remainder when 27 is divided by (-1 - (-2 + c)) + (-20)\/s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 12:46 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6*(-8)\/24)\/((-2)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpp. Give prob of sequence lp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -70274437.3068 and -84?\nAnswer: 70274353.3068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q - 24*q = -109*q - 1566. What is the smallest value in 5, q, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 7:38 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5487 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/20*(-5)\/2. Let k(b) = -b**2 + 2*b - 1. Let z be k(2). Let n be 0\/(u\/z) - -40. What is the greatest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 10. Let j(a) be the second derivative of 2\/3*a**3 - 11*a - 1\/3*a**4 - 3*a**2 - 1\/20*a**5 + 0. Determine j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 7. Let r(z) = -3*z**2 + 20*z + 6. Let j(x) = -x**2 + 7*x + 2. Give g*r(h) + 17*j(h).\nAnswer: h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 108005972 to the power of 1\/2, to the nearest integer?\nAnswer: 10393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-6 + 0 + 4)*(2*s**4 - 2*s**4 - 2*s**4) + 3*s**2 - 3*s**2 + s**4.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 3*r - 3. Let c be o(3). Let q = 1 + c. Let y = q + 0. Put 3, y, 1 in increasing order.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5\/8 - 109*q**4\/4 + 1923*q**3\/2 + 7677*q**2 - 34452*q - 241056 = 0.\nAnswer: -248, -6, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a2 - 5?\nAnswer: -3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - 2*d. Let m be w(4). Suppose 74 = 8*z - 118. Calculate the greatest common divisor of z and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26468 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**7\/1785 + 7*g**6\/60 + 1856*g**5\/255 + 841*g**4\/17 - 1481*g**2. Solve c(q) = 0 for q.\nAnswer: -58, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 0 + 0*v - 1\/30*v**5 + 2*v**2 + 0*v**3 + 0*v**4. Let t(s) be the first derivative of -s**2\/2 + 1. Give t(q(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 + 0*k**2 - 3*k**2)*(3851*k + 4272*k - 8681*k) in the form u*k**3 + h*k**2 + t*k + n and give u.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {d: 2, c: 1, v: 5, o: 8, f: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 3347 + 6539 - 4758 to the form a*j + t and give t.\nAnswer: -1566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22772173 - 22772173 - 3171*r + 5001*r**2 wrt r.\nAnswer: 10002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 31. Suppose 8*g - g = n. Let l(t) = t**3 - t**2 - t - 19. What is l(g)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 7) in base 6?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:48 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0, -56, 0.5, -6, -3 in ascending order.\nAnswer: -56, -6, -3, -3\/8, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 15*n**3 + 0 - 14*n**3 - 5*n + 9*n**2 + 6 - 6*n. Give u(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835644117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-9))\/(34\/(-6)). Let n = c + 138\/221. Determine z so that -n*z**4 + 4\/13*z**2 - 4\/13*z**3 + 2\/13*z + 2\/13*z**5 - 2\/13 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.439 + 2.009?\nAnswer: 1.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**4)\/n**(-1\/5)*n*(n**8*n)\/n*(n**0*n*n*n)\/n*n**(-8)\/(n\/(n*n**(-3\/5)))*n**(1\/7)\/(n\/(n\/(n*n**7))) assuming n is positive.\nAnswer: n**(-289\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 33. Let c be a(12). Suppose -5*i + 514 = -c. Calculate the remainder when i is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**0\/i)**(-1\/29)\/(i*i*(i**(-1)*i)\/i)**(9\/2)*((i\/i**1)\/i)**35\/(i*i*(i**6*i)\/i*i*i*(i*((i**(-6)*i)\/i)\/i*i)\/i*i) assuming i is positive.\nAnswer: i**(-2583\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 8*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80.8 - -81. Suppose 0 = -2*p + 2, -5*x + 0*p + p - 6 = 0. Let q = 231 - 230. What is the fourth biggest value in q, 5, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(11 + (-5 - -4)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + -1*sqrt(891) + 0 - sqrt(891)) + sqrt(44)\/sqrt(64)*-6)**2 + 2.\nAnswer: 4859\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/((5 + -1)\/(-16)*(-97 + 99)*1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62726876.\nAnswer: 2, 2777, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + 1 + (-1 - -7)\/(39\/(-117)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g - 14*g = -294 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 6*y**2 - 4*y - 23. What is a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*t - 1 - 5, -5*y - 24 = 4*t. Let a(n) = 10*n**2 - n + 5. Is a(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 83 = 3*p - 150, -v = 2*p - 33. Solve -4*x + x - z = 11, -2*z - p = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1599*h - 4394. What is the hundreds digit of x(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135030937 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014427981 to 6 dps.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Suppose b = -n - 5*y + 26, y - 4 = 2*n - n. Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-68376)\/21)\/88 - (-2 - 7\/1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151\/2 + 1363\/18. Which is the third biggest value? (a) -1 (b) 25 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 4*i - 12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 8 + 6. Let q be 1\/f + (-815)\/(-10). Suppose 3*l - 3*z - 39 - 18 = 0, 4*l = 5*z + q. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**8)\/p*p)\/p**0)\/((p**(2\/9)*p)\/(p**(2\/11)*p)) assuming p is positive.\nAnswer: p**(-598\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -35*f. Let a(p) = -122026*p**2 + 2*p. What is y(a(r))?\nAnswer: 4270910*r**2 - 70*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34786199, 69572398, 104358597, 139144796, 173930995, 208717194?\n\"Answer: 34786199*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4114 and 211871?\nAnswer: 423742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17497?\nAnswer: 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**2 + 4*l**3 - 3*l**3 - 6 - l + 2 + 1. Let t(c) = 26*c**2 - 131*c + 12. Let v be t(5). What is the remainder when m(v) is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 8*z**2 + 18*z - 31. Let b be u(6). Suppose 794 = l - b*g, 924 = 3*l + g - 1474. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b - 100 = 29*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20070 minus 5353.6926561?\nAnswer: 14716.3073439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, b: 2, u: 3}. What is prob of sequence tx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2*c - 3. Let o be x(-4). Let w be -1 + 1 + 0\/(-5). Let q be w\/(1 - (-1 - -4)). Solve 0 = o*k + 3*d + 21 + 4, q = 3*k - 4*d - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -673325.3 rounded to the nearest 100?\nAnswer: -673300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecuhg. What is prob of picking 1 u, 1 c, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*v - v**2 + 2*v**2 - 62*v.\nAnswer: v**2 + 111*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14892984 divided by 5?\nAnswer: 14892984\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkff when four letters picked without replacement from {k: 5, f: 3, r: 1, v: 4, y: 1, p: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -16, 5*v = -2*h - 7636 + 7609 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0.5, 0.31, -7 in decreasing order.\nAnswer: 0.9, 0.5, 0.31, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -9*m**7\/70 + 29*m**4\/24 + m**3\/3 - 13*m**2 + 2*m. What is the second derivative of g(b) wrt b?\nAnswer: -324*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -957664400.1 to the nearest ten thousand.\nAnswer: -957660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 84224 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w, 5*c = -w - 25. Suppose 0 = -4*g + 3 - 7. Put 3, g, c in descending order.\nAnswer: 3, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 10) in base 8?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4110 - 3?\nAnswer: -4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 163? (a) -3\/7 (b) 2\/27 (c) 1.73 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072242834 to 6 decimal places.\nAnswer: 0.000722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*r**2 + 56 - 56 - 5*r**3 + 427*r**2.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 494046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}