diff --git "a/data/dm_maths/full_data/1490_11255.jsonl" "b/data/dm_maths/full_data/1490_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1490_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 64936 is divided by 192?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.731 + -8.631. Let w = -1.23 - -1.2. What is the second smallest value in y, 0.06, w?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24588 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1755 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + -77 + -6 + 7 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 13*f**3 - 2953*f**3 - 4*f + f**2 - 419*f**3 + f**2 - 32 + f**2. Let j be u(-8). Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(98) - -4*sqrt(98)) + sqrt(98) - (sqrt(98) + 3 + -5)) + ((0 + 1 + sqrt(98) + -1)*3)**2.\nAnswer: 35*sqrt(2) + 880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus -1720?\nAnswer: 1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9 - -1.9. Which is the biggest value? (a) -0.3 (b) p (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6090644.1 rounded to the nearest 1000?\nAnswer: 6091000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201111 - 112?\nAnswer: 200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5184872.\nAnswer: 2, 7, 11, 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3061*c - 153 = 3078*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 344.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 z when three letters picked without replacement from wbzwzzzwz?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 3, 0, -2, -677, -4 in descending order.\nAnswer: 59, 3, 0, -2, -4, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 16*o - 14*o - 2, -5*g - 5 = -o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -814 + 815. What is the third biggest value in 4\/7, 8, y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/8 + 1445*p**2\/8 - 518375*p\/8 - 2628125\/8 = 0. Calculate p.\nAnswer: -5, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033552402 rounded to 7 decimal places?\nAnswer: 0.0003355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 4*r**2 - r + 1. Let x = -15 + 17. Give w(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.18 + -23.18. Let s = h - -22.22. What is s rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**5 - 790*r**4 - 28655*r**3 + 201450*r**2 = 0.\nAnswer: -85, -79, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*h + 4 = -375*h. Let g = -14 - -11. Let l be (-16)\/(-2) + (0 - g). Solve -3*u = -x - l, h*x + 2*u - 11 = -3*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*x - 5*l + 29, -26*l + 21*l = 4*x - 37 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 120 = -4*c - 152, 4*c - 4*d = -28 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1705071633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0566994 litres in millilitres?\nAnswer: 56.6994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10431359 to the power of 1\/2, to the nearest integer?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*((sqrt(275) + 0 - sqrt(275))*2 + 0)*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q - 5. Let h(i) be the third derivative of -i**4\/4 - 2*i**3\/3 + 48*i**2 - 2. Determine 4*d(z) - 5*h(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, 13.509, -0.3 in descending order.\nAnswer: 13.509, 0.3, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - w**2 + 2*w**3 + 10 - 6 to the form d + g*w**3 + n*w + b*w**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 385 + -399. Is 2037 + 7\/((-49)\/u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -1. Let u(h) = 11*h - 53. Let v be u(11). Let g = v - 63. Which is the third smallest value? (a) -2\/9 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {t: 1, e: 3, n: 3, y: 1, o: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8218315ml?\nAnswer: 0.0008218315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182429919 and 36148.\nAnswer: 9037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 14. Let v(d) = 2*d + 28. Let r(p) = 13*s(p) + 6*v(p). Let x be r(-13). Let l(h) = 22*h**2 + h + 1. What is the tens digit of l(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951924901?\nAnswer: 3617, 539653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-2)\/(-15))*4. Let d be 9*(3 - -2*q). Suppose -5*x + d = 2*a, 2*a + 26 - 254 = -2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 134, 130, 124, 116, 106, 94, 80?\n\"Answer: -j**2 - j + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 42*u - 83. Let m be r(4). Suppose -3*p + 4*k = -48 + 11, -5*p - 5*k + m = 0. Suppose 0 = c - 8. What is the remainder when p is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -28\/2071 in increasing order.\nAnswer: -28\/2071, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6379050 divided by 27735\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 79*z**2 - 77*z + 685. Calculate the remainder when t(-78) is divided by 119.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 58600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u. Let v = 44 - 45. Calculate w(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4782*c**2 - 5681*c**2 - 33252*c**2.\nAnswer: -43715*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 81448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:29 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7633?\nAnswer: 5\/7633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*t - 3*t**4 - 53*t - 16 - 45 + 59 - t**3 + 2*t**2 as q*t**4 + v + x*t**3 + s*t + b*t**2 and give s.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o + t - 33 = 0, t - 5 = 0. Let p = -2 - o. Calculate the remainder when 21 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3 + 8 - 4 + r**2 + 8*r. Let l be b(-5). Is 13 a factor of 351\/12 - (-2)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 17 - 14 + u + 7 in the form n + m*u and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63159 is divided by 133?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2025 - -23440?\nAnswer: 25465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 216 = 68*j, -499*p + 498*p - 5*j + 18 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from kfjirri?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = -2*v, 14 = 2*v - 3*b - 3. Let w be v\/(-7)*49\/(-14). Let g(s) = 33*s - 12. What is the units digit of g(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -20, -12*f = -8*f - 4*i + 12. Let c be (-11 - f - -10)*1. Solve c*x = x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 - 118 - (1 + (-2 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -52, -17, 12, 65 in ascending order.\nAnswer: -52, -17, -2, 1, 12, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 800*g - 39676.\nAnswer: -4*(g + 91)*(g + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1421032334 (base 5) to base 3\nAnswer: 20221110100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-15) + -8)\/(-2*2\/(-6)). Let s(p) = -4*p - 5. Calculate s(x).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870733 and 17111?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359 = -39*r + 47 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/((-1)\/(9\/3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5096102 and 651827?\nAnswer: 56057122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y = -40*y + o - 1121, -5*y - 2*o = -2800. Let j = y - 38. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = -43*w - 829 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -32. Let r(c) = -1 + 20*c**2 + q - 18*c**2. Determine r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/7620 and -103\/10160.\nAnswer: 30480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 7*m + 5. Suppose -2*q - q = 15. What is the units digit of p(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Let t(i) = 13*i + 2. Determine z(t(w)).\nAnswer: 338*w**2 + 104*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:14 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.99 to 1 decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - 76?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 5*s**3\/3 - 173*s**2\/2 - 13*s + 7. Let w be d(20). Solve 0 = 4*r - 9*r - 4*a + w, -6 = -2*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23042137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5894 + 5704.02. Let t = j + 190. What is the nearest to t in 2\/9, 1\/6, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.868105 decades?\nAnswer: 0.00868105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:12 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.02, -0.4, -2122999 in decreasing order.\nAnswer: 1, 0.02, -0.4, -2122999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 78 = -2*a. List the prime factors of ((-127)\/2)\/((-18)\/a).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 0*o - 16 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, f: 5, m: 2, e: 1, a: 5, u: 1}. What is prob of picking 2 b and 1 a?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4473217 rounded to 4 dps?\nAnswer: -0.4473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(12)\/sqrt(24))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/3 - 339056*b\/3 - 38236714 = 0.\nAnswer: -169189, -339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000117683526 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8622, 17216, 25796, 34362, 42914, 51452?\n\"Answer: -7*x**2 + 8615*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -14aa15?\nAnswer: -14aa18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p - p + 0*p)*(3 - p - 3) + 5*p**2 - 2*p**2 - 2*p**2)*(-2*p**2 - 5*p**2 + 4*p**2).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8461 is divided by 404.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = w + 97, -4*w - 702*b - 31 = -707*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/7)*r)\/r)\/r**3 assuming r is positive.\nAnswer: r**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14430 - -14846. What is the highest common factor of 3488 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 2, x: 2, w: 3, j: 3, c: 4}. Give prob of picking 2 y and 1 c.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(91)*4 - -1*(sqrt(91) + sqrt(91)*-1 + sqrt(91))))\/((sqrt(56)\/sqrt(4)*-6)\/(sqrt(8)*-6 + sqrt(2) - sqrt(2))).\nAnswer: 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 386, 587, 792?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + -188. Let l = u + 71. Let o be (-2)\/(-5)*(-2)\/(-4). Which is the third biggest value? (a) o (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1858 in -0.3, 1, 1794?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/155 or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13581 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*a + 105740 - 48393740 = 0. Round a to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -931\/2619783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -12*x - 6*x**3 + 27*x - 1 - 4 - 11*x. Let y(c) = -5*c**3 + 3*c - 4. Determine 4*h(a) - 5*y(a).\nAnswer: a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - i - 47 = 0, -35*i = 2*a + 26*i - 59*i + 118 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 2*j**2 + j + 2. Let t be l(-2). Factor -2*y**3 - 8\/3*y**2 + 4\/3*y**4 + 8\/3*y + 2\/3*y**5 + t.\nAnswer: 2*y*(y - 1)**2*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/20*10\/25*75\/(-795).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**4\/5 - 868*v**3\/15 + 4576*v**2 + 29040*v + 870. Factor r(f).\nAnswer: 4*(f - 110)**2*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - (3 - -4)) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**6\/8 + 5*x**5\/12 - 35*x**4\/6 + 1197*x**2. Factor o(r).\nAnswer: 5*r*(r + 4)*(3*r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*g**2 - 770*g**2 + 0*g**3 + g**3 - 198*g + 203*g to p + v*g**3 + n*g**2 + u*g and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*c = 18, -3*c + 9 = -5*l + 46. Suppose -5 = -b + 5*h, 5*h - 3*h = 5*b - 2. Suppose -1347 = -l*r + 3*s, r - 263 = -b*r - s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 220.6 + -226.6. What is the second biggest value in -4, 2, -1.1, u, -5\/2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(5) - sqrt(5)) + sqrt(35)\/sqrt(63).\nAnswer: sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/(-66) + 5\/(-10). Which is the third biggest value? (a) m (b) -1\/5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnu when three letters picked without replacement from {n: 5, l: 5, u: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*o + 9907, 4*m - 39683 = -5*o + 8*o. Calculate the greatest common factor of 94 and m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(-3*(sqrt(5) + 1 + sqrt(5)) - ((sqrt(50)\/(sqrt(10) + sqrt(40)))**2 + sqrt(5))) - ((5*-2*sqrt(720))**2 + sqrt(720)*-2*2)).\nAnswer: -647854\/9 + 76*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 6*b + 36, 47*j = 1317 - 1035 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3846866\/(0 - 3\/(-3)). Let b = -7132088731\/1854 + r. Let d = -1\/206 + b. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/92 and 2\/(-7) - (-10 - (-591)\/63)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*p = 73, -c - p = c + 182. Let a = c + 90. Let k be (19\/(-7) + 5)\/(a\/3). Is k at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**2 + 3342*w + 7243 wrt w.\nAnswer: 4*w + 3342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.5, 0.001?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-25))\/(((-156)\/(-30))\/(-13))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -78, -90, -116, -162, -234?\n\"Answer: -b**3 - b**2 - 2*b - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -66, 15, 1 in decreasing order.\nAnswer: 15, 2, 1, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -107*q - 111*q + 223*q. Let u(r) = -7*r. Give u(m(f)).\nAnswer: -35*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-17\/5) assuming j is positive.\nAnswer: j**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p**2 + 322392*p - 214932 = 0 for p.\nAnswer: -35822, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257433 is divided by 77.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1201*i - 399 with respect to i.\nAnswer: 1201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 9, 4*l = 2*c + l - 489. Suppose 0*g = -5*g + c. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1368\/135 + 18\/(-135). Solve -x - 5*m - 21 = 0, -2*x + 12*m = q*m - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/33? (a) 0.4 (b) -3 (c) -0.072636 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/13 - 603\/(-117). Suppose 0*k - v*m - 6 = 3*k, -m = -4*k + 15. Suppose -4*i - z + 410 = 0, 2*i + k*z + 315 = 5*i. What are the prime factors of i?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 22905.\nAnswer: -19\/22905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3344 greater than -3344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -211 - 58 + 2*l + 467 - 76 - 14*l**2 in the form n*l**2 + t + s*l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.153 + 10.15295607. Round z to six dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(x**2 - x**2 + x**2)*(-9 + 10 + 5)*(2 - 2 + 1).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2065364*v**2*y - 2*y + 155214 wrt v.\nAnswer: 4130728*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - i = 8*v + 16, 3*v + 8 = i. Let f(k) = k + 1. Let h(x) = x**3 - 11*x**2 - 1. Let a be h(11). Let q(p) = -5*p - 4. Calculate a*q(r) + v*f(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33018678 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.69 - -7.2. Let f = -0.26 + g. Let q = 2.25 - f. Which is the third biggest value? (a) 1\/4 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.11 - 0.11. Let c = k - 8. Let p = -5 + c. Are p and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 230744005, 230744006, 230744007?\n\"Answer: w + 230744004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -v, -3*v + 5 = n - 3. Suppose k**v + k**2 - 7*k**3 + 4*k**3 + 5*k**3 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1174202, 0.2, -9 in increasing order.\nAnswer: -1174202, -9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 13*w**3 + 71*w**3 - 51*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 + 8*l**3 + 4*l**2 - 8*l = 0. Calculate l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3269? (a) 3 (b) -5 (c) -3 (d) 4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -605 + 607. Let w(k) = k**2 + k - 5. Let r be w(-6). Suppose a + 9 = 4*a. Solve 5*x + a*l = 8*l - r, 0 = -p*l + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-210))\/((-777)\/5180)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 3\/2 + 0. Sort 6, 0.4, x in descending order.\nAnswer: 6, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1*1\/((-2)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.6 - 13.6. What is the third smallest value in -1\/5, j, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 4*z + 0*z)*(-z - 3*z + 3*z) + 15*z - 15*z + 6*z**2 + (-z + 7*z - 3*z)*(-z + 2*z + z).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 8*y**2 + 8*y + 12. Let s be q(9). Let d(f) = 3*f - 12. Let g be d(6). Solve -s*j = 6 + g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**3 - 5*q**2 - 6*q - 34. Is 5 a factor of r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/30)\/(45\/(-135))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/12 + 4*f. Let g(x) = -2*x. Let n(s) = -s. Suppose 5*p = -0*p - 20. Let u(q) = p*n(q) + 3*g(q). Give d(u(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46776 - 20185. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + c**2 + c + 2. Let z be p(0). Suppose -6*k + z*k = -8. Find the first derivative of -i**2 + 2*i**k - 1 + 0*i**2 wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -576 + 588. Solve 2*w + 4*i = -r, 0*w - i + 3 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + (-497)\/(-355) - 1\/2. What is the smallest value in v, 11, 10, 5, 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56644 and 2052806.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - h + 5*h - 8, -19*h = 16*w - 19*w - 38 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2345996353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 6. Let i be (-8)\/(-20) + (-176)\/(-10). Suppose -11*v = -7*v - i*v. Give u(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -13, -2, 5, -4, -22 in descending order.\nAnswer: 62, 5, -2, -4, -13, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6939914 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4 - l + 3*l - l - 1. Calculate b(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/9)\/((-4)\/(-66)). Let w = 15 + o. Suppose 0 = w*b - 5*y + 102 - 294, -3*y - 41 = -b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2 + -1)*2. Suppose z*m - 3*j - 18 = -72, 0 = 2*m - 4*j + 22. Let f = -12 - m. Solve -b + 1 = f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-3) - (-3 - 4). Suppose s + f*h + 61 = 0, 0*s - 365 = 5*s - 5*h. Let l = s + 115. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 15, -4*k + 25 = n - 4*n. Let z = -3 + k. Sort 2, z, -3 in decreasing order.\nAnswer: 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 239*d**6\/120 - 7*d**5\/20 - d**4\/12 + 375*d**3 + 4*d**2 - 970. Find the second derivative of g(j) wrt j.\nAnswer: 1434*j - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212 a factor of 234957900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3058 + -3004. Calculate the greatest common factor of 1062 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201 and 3?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/61166 and -67\/2516.\nAnswer: 4526284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 56. Let u(k) = -k + 28. Let t(h) = 13*u(h) + 6*x(h). Let d be t(25). Solve 2*f = 5*l - 12 + 34, 17 = -5*l - d*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 74*y**2 + 3*y**2 + 3 - 16*y**2 - 10 as z + k*y + w*y**2 and give w.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 0.1. Let h = -0.1 + t. Let v = 42.7 + -42.6. Which is the biggest value? (a) h (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + q**2 - 4 + 9*q**2 - 2*q**3 - 10*q**2 in the form d*q + u + y*q**2 + r*q**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5534476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g + 3067 - 18269 = 1350*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5633.03 + -5633. What is the nearest to 2 in 3, q, 1\/7, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-885)\/(-33) + 10\/55. Solve -11*q = -g*q + 80 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -1, 5, -32, -4, 3, -2 in descending order.\nAnswer: 5, 3, -1, -2, -4, -32, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 1, v: 3, m: 3, i: 2, j: 9}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.96 - -5.04. Let j = -30.46 - -0.46. Let d = j + o. What is the nearest to -1 in 1, -5, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**3*j**3 + 10*b**3*j*w**2 - 8*b**3*j + 268913*b**2*j**3*w**2 + 2*b**2*j**3 + 1234*b**2*j**2*w - b*j**2*w + 2*j wrt w.\nAnswer: 20*b**3*j + 537826*b**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*i + 20 = 5*r, 8 = -r - 5*i. Let q be 2\/(-15) + (-12)\/(-15). Does q = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(21)\/((sqrt(210)\/sqrt(6))\/sqrt(5)) + 1.\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(3\/1))\/((-125)\/(-250))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66.2 + -65.8. What is the closest to 1 in 4, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/5 (b) 0.1 (c) -6\/7 (d) 0.02 (e) 0.0626\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -272, -505, -748, -1007, -1288, -1597?\n\"Answer: -z**3 + z**2 - 229*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72255760 divided by 14451152.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1008379687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 3 - 5 - 4. Let q(d) = -2*d + 3. Let v(f) = -5*q(f) - 3*x(f). What is the least common multiple of v(7) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + 5 + -2 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17424272 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*n + 228*n + 52*n = -11*n. Solve 5*q + 24 = -4*j, n = q + 5*j + 3 + 27 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -71*r**3 - 7*r**2 + 11*r - 9. Let x(o) = 36*o**3 + 3*o**2 - 5*o + 4. What is -4*c(b) - 9*x(b)?\nAnswer: -40*b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(12)\/sqrt(6))**2 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 76*f - 75*f = -345152, 431415 = 5*j + 5*f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/90 + 206*x**4\/9 - 86*x**2 + 26*x. Factor q(t).\nAnswer: 2*t*(t + 824)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -557255987*s**4 + 444123103*s**2 wrt s?\nAnswer: -13374143688*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -48. Calculate the common denominator of 3\/o + 1 - 2709\/(-540) and 28\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 (base 10) in base 15?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*t = 253716, -126856 = -w + 2*t + t. Let l = -84859 + w. Round l to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/112 - (-78)\/8*(-18)\/(-108). Which is the smallest value? (a) -21 (b) 0.2 (c) 5 (d) 2.5 (e) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4*b + 12, 0 = -4*y - y - 3*b + 39. Let r(a) = y*a - 10 + 6 + 3. Calculate the remainder when r(7) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118828713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0\/(-11*(-10)\/55). What is the nearest to 0 in -3, -5, -541, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10310 and -10304 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**17\/((p*p**(-3\/2)*p)\/(p\/(((p*(p**(-4\/5)*p)\/p*p)\/p)\/p))))\/(p*p**3*p**(-2)*p*p**(-2)*p*p*(p\/((p**1\/p)\/p))\/p*p) assuming p is positive.\nAnswer: p**(-207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7018, 7020, 7022?\nAnswer: 7024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4 - 16705*j**3 + 10420740*j**2 + 41883580*j + 41950480 = 0. Calculate j.\nAnswer: -2, 836, 2509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -157, -3, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/11 - 2746*u**2\/11 - 5486*u\/11 - 2742\/11.\nAnswer: -2*(u + 1)**2*(u + 1371)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25599?\nAnswer: 3, 7, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**7\/2520 + y**6\/144 + y**4\/12 - 4*y**2. Let z(c) be the second derivative of j(c). Calculate z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*p - 4*k, -2204 = 2*p - 4*k - 2208 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523 divided by 5.\nAnswer: -523\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjmj when four letters picked without replacement from {x: 4, c: 1, m: 4, j: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0378055 and -38?\nAnswer: -1.436609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -130, -86, -24, 56?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b7 + -1d5d3?\nAnswer: -1d6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1255086939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/377 in -2, 4, -26, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 357*j**3 + 132*j**2 - j - 1001452 wrt j?\nAnswer: 1071*j**2 + 264*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 19*d - 75. Determine v(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 30 = -0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u + 68*u = -44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/4 < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94 - 2) + 13 + 13 + -33 + -7 + 2.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8750.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12126 - 106194. Let w = -109680 + m. What is w rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -144, -25, 176, -3, 5, -5 in ascending order.\nAnswer: -144, -25, -5, -3, 2\/9, 5, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*a - 16*a + 3*a**3 + 6*a**2 + 1 as g*a + n*a**3 + l*a**2 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18713, 37425, 56137, 74849, 93561, 112273?\n\"Answer: 18712*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119206 and 53162.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17913280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/k**0)*k**(-1\/5)*k)\/(k**0)**(-32))\/((k**(-1))**(-4\/9)\/(k**0\/k)**0) assuming k is positive.\nAnswer: k**(-29\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*s**2*t*z - 4*j*s*t + 6*j*s*z + 324*s**2*t*z - 749*s**2*z - 2*s*z wrt t.\nAnswer: j*s**2*z - 4*j*s + 324*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r + 75. Determine y(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-7852)\/(-559) - (-8)\/(-172)). Suppose 0 = -n - 0*n + 5. Let r be 1 + n\/(-4) - 1. Which is the third smallest value? (a) r (b) -3\/8 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -9 + 15 + (0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4095 = 3*y + 4005. Calculate the lowest common multiple of y and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.498 - -2.502. What is the second biggest value in j, 1, 0.0644?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(566*y + 1231*y + 812*y + 8*y + 859*y).\nAnswer: -6952*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -28755.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -526 - -529. Let u be 2\/10 + 44\/5. Sort j, u, -4 in increasing order.\nAnswer: -4, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10784*h + 3972*h - 7202*h to the form t*h + r and give t.\nAnswer: -14014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(7\/5)*j\/(j**(-8\/7)*j))**(-46)*((j*j**(4\/5))\/j**(3\/8))\/(j**(-1))**(13\/6) assuming j is positive.\nAnswer: j**(-133879\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 5 (c) -4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 45 - 142 - 87*r - 6*r**3 + 54 + 15*r**3.\nAnswer: 9*r**3 - 87*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + 2 + -2 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from {x: 2, i: 2, v: 1, d: 9, q: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v + 138. Let j be l(-28). Let h = j - 28. What are the prime factors of h?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*j = j - 36, 3*j = 5*d + 69. Let t be (192\/10)\/(d\/690). List the prime factors of 3\/2*t\/27*-3.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -0.4, -39\/2, 5, 17\/2?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74402.61 micrograms to nanograms.\nAnswer: 74402610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010110111011 (base 2) to base 15.\nAnswer: -4120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 28*u - 20*u = 3, v - 2*u - 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 2*r - 8, 89*r + 24 = -3*p + 95*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323565, -323570, -323577, -323586, -323597?\nAnswer: -323610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 131 = 80. Suppose -8 + 28 = -5*d, d + o = f. Calculate the highest common factor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*i - 6767 - 10960 = 0 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 812509.47.\nAnswer: -4062547.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.522934 - -109476113.\nAnswer: 109476115.522934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20.05 * -0.04\nAnswer: 0.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2737014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -10. Let p(s) = s. Let b be p(y). Let k be (-9)\/b*(4 - 0). Solve -r + k*r = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, g: 4, a: 2, c: 1, p: 1}. What is prob of picking 1 p, 1 c, 1 a, and 1 g?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 458516921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-15)*(3 - -2). What are the prime factors of g\/(0 - -3) - -18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c8a8b (base 15) to base 12\nAnswer: 574028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(140\/(-14)*1\/((-2)\/(-1))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 7 - 5. Let a be 4\/(-7*6\/(-252)). Suppose 3*k = 2*d + 14, 2*k - 6*d - a = -d. Calculate the greatest common factor of k and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.2985 centuries in months?\nAnswer: 113158.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728*z - 2 = 669*z - 2. Solve 2*o + 8 = z, 8 = 4*u - 5*o - 32 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-6)\/54*-6. Let a(y) = -10*y + 5*y + 2*y - r*y. Let s(i) = -19*i + 11*i + 6*i. Determine s(a(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 55*k**2 - 105*k - 50. Let a be p(53). Solve 2*f = -a*q + 16, -5*f + 3*q = -9*f + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40043579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2\/7)*x*x)**(-21) assuming x is positive.\nAnswer: x**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 165 = -2*b - 3*h, -4*b = h - 660. List the prime factors of b.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450075*p - 25*p**3 - 450075*p.\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 less than -115?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 13. Let o(g) = g - 7. Let c(k) = 7*k**2 - 17*k + 13. Let j be c(1). Suppose -35 = 4*a + 5*f - 2*f, -4*f + 5 = -5*a. Calculate a*o(w) + j*x(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4459134 greater than or equal to -4459134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 7*c**2 - 6*c + 1. Let h be t(-6). Let n be h + -2 - -164*1. Let r = n + 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0 + 0)*(20*a + 9*a**2 - 20*a) + a**4 + 2*a**3 - 2*a**3.\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:58 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*k + 190*k - 3780 = 290*k for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129425893*j - 73009310 with respect to j.\nAnswer: -129425893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 65 (b) 3 (c) 5 (d) -5\/3 (e) 0.7 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 16927*m - 19195211. Calculate p(1134).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1089\/2 - -20687\/38. Suppose -2*g - g + 6 = 0. Let f = g - 4. Are f and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*425\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39107 minus 6?\nAnswer: -6.39107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -15?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 24 - (2666 - 2639).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-2))\/1 + 18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffogkkoggkk. Give prob of picking 1 g and 2 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-3)\/5) - -15. Let f(a) = -a + 62. Is f(t) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3556753.\nAnswer: 3556753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 551442*s**2 + 272 + 551442*s**2.\nAnswer: 4*s**3 + 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-217)\/(73780\/(-136))*(-430)\/2?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 824622 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 25.6 (c) 5054 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*i - 7. Let n be 3\/(-2) - (-5)\/i. Let v be 154\/(-99) + 0 - (-1)\/(-9). Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17263 and 1.02.\nAnswer: 17264.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*u**2 + 2448*u + 1252*u - 173*u**2 - 232*u**2 + 4702*u + 5*u**4 wrt u?\nAnswer: 60*u**2 - 572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 10:18 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/((-55)\/250) - (5 + -1). Suppose -4*x - 5*o + j = -x, -2*x - o = -26. Solve p = -2*p - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1300) - 4*sqrt(1300)*-3) + -3) - (4*(1 + sqrt(1300)) + (-5*sqrt(1300) - sqrt(1300))*-4))**2.\nAnswer: 820*sqrt(13) + 2185301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 346254 - 221797. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 1971*u - 555843. Determine f(341).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 773525363 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 7*o. Let a be s(3). Let p be (4 - 5037\/(-42)) + a. Let q = p - 121. Is 0 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 491 + -833. Let n = 229 + l. Let c = n + 789\/7. What is the smallest value in c, 6\/5, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*b - 35 + 27, 4*c = 2*b + 6. Solve z + n - 7 = -2*n, -2*n = -c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-4)\/(-90))\/(320\/400)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idag when four letters picked without replacement from {g: 2, a: 5, d: 1, i: 1, b: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 46.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7588*w - 257681 = 325184 + 115231 for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7b9 - 2?\nAnswer: -7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 1095*r**2 + r - 1836. Let a(p) = -2*p. Give a(c(n)).\nAnswer: -4380*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -3, -7, -13, -21, -31?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 111*i + 222*i - 116*i)*(5 + 2 + 0).\nAnswer: -35*i - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 2*c = -319*i + 1261, -5*c + 26 = -3*i + 23 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 25325250?\nAnswer: 25325252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/9 - 8*r**3\/9 - 4*r**2\/9 + 8*r\/9 + 2\/3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*s + 267 = -11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11168240 divided by 5584120.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 581712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -65*j - 1. Let o be l(-2). Let h = o + -126. What is the hundreds digit of (249 - 5)\/(h*2\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22406 is divided by 10300?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8032 = 14845. What is w rounded to the nearest 100?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2927 (b) 25\/6 (c) 88\/13 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 32 - 4 + 6)*(2*h + 1 - 1)*(-68*h**4 + 60*h**4 - 112*h**4).\nAnswer: -10560*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/(-2))\/10)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 3*v**5\/5 + 137*v**4\/30 - 4*v**3\/3 - 28*v**2\/5 + 246*v. Determine u, given that p(u) = 0.\nAnswer: -14\/3, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581 = -21*q + 805. Suppose 39*l - 37*l - q = 0. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 12*t + 154*r - 158*r, 227*r - 15 = 2*t + 228*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2465*k**2 - 2*k + 19. Let j(b) = -1233*b**2 - 2*b + 9. Let r(o) = -7*j(o) + 3*u(o). What are the prime factors of r(1)?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n - 4. Let c be v(7). Suppose 6*b = b + c. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11882*l + 71307. What is y(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, r: 9}. What is prob of picking 2 r and 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10061\/3 + 3382. Let i = x - 28. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -59 - 1. Suppose 40 = -38*f + 28*f. Let x(y) = -31*y - 94. What is the least common multiple of v and x(f)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.28 (c) 3\/7 (d) 3 (e) 12 (f) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 989 + -994. What is the closest to -5 in -14, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2569, -5347, -8125, -10903, -13681, -16459?\n\"Answer: -2778*r + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, -9, 5, -6248 in increasing order.\nAnswer: -6248, -9, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j - 8 = 4*h, 7 = h + 2*j. Let v = -43\/40 + 7\/8. Which is the nearest to v? (a) h (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195550835*f**3 + 285234519.\nAnswer: 586652505*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -80.16551 and 17369.\nAnswer: 17288.83449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9315.176m?\nAnswer: 9315176000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3468080277?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:16 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166443 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13496.3, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30332, 60490, 90646, 120800, 150952, 181102?\n\"Answer: -s**2 + 30161*s + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 311, 621, 1217, 2195, 3651, 5681, 8381?\nAnswer: 11847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10565 and 2113?\nAnswer: 10565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62, -55, -36, 1, 62, 153, 280?\n\"Answer: p**3 - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 21) + 7 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3954\/1055 - 6967949\/1884230. What is the common denominator of 15\/14 and s?\nAnswer: 12502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -15423\/4 + 169803\/44. Find the common denominator of o and -61\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 1:33 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86 + 110 - 145) + 64.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/7*4\/(-10). Let m(i) = i**2 + i - 1. Let p(v) = -v**3 - 10*v**2 - 9*v + 6. Let f(o) = -3*m(o) - p(o). Let s be f(-6). Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -4505, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46563404 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -73.067136+0.2\nAnswer: -72.867136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 1\/5*g**5 - 1\/6*g**3 - 5*g**2 + 0 - 7\/12*g**4 - 38*g. Let f be j(4). Round f to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r**2 - 8*r**2 + 2*r**3 + (2*r + 1 - 1)*(-3 + r**2 + 3) + r**3 + 3*r**3 - 3*r**3 in the form k*r**3 + h*r**2 + w + v*r and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12012 (base 4) to base 8\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*f**2 - 65*f**2 + 12*f**2 - f**2 - 2*f**2 + 5*f**2 + (-3*f + 2*f + 0*f)*(-6 - f + 6) + 14*f**2 + 5*f**2 - 14*f**2.\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x. Let c(n) = -9*n - 24. Suppose -4*u - l - 3*l = 28, u + 5*l = -19. Let w(f) = u*m(f) + c(f). Let j be w(-6). Let r(h) = -h + 5. Determine r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -h + 13. Let t = 49 - 33. Let s be t - ((-2 - 1) + 5). What is the highest common factor of s and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z + 42. Let n be u(14). Let r be (-4 + 10)*(-4 + n\/(-15)). Let q(i) = 4*i - 6. What is q(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1433292, 5733175, 12899646, 22932705, 35832352, 51598587?\n\"Answer: 1433294*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4474789 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 111110?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + a**2 + 16*a**2 + a.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -68.2, 0.1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 601?\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h - 10 + 9)*(2*h - 2*h + 2*h**2).\nAnswer: -4*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15776, -62178, -139500, -247736, -386880?\nAnswer: -556926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-1 - 0) - -33 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 - 0.81. Put 1\/4, -0.1, t in ascending order.\nAnswer: t, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1620\/2160*(4\/(-3))\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**5\/45 + c**4\/18 + 119*c**2\/2 - 54. Let p(h) be the second derivative of l(h). Determine f so that p(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t + 6 = 4*f - 64*t, 0 = 5*f + 2*t - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aakaaadcaadykaaa. What is prob of sequence dac?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 z when three letters picked without replacement from {s: 2, z: 5, c: 5, f: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3203 is divided by 81?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + (59 - (-59 - -124))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*v, 5*o + 39 - 4 = 4*v. What is the common denominator of ((-5)\/(40\/o))\/(-1) and 53\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**3\/6 + 8*v**2 + 2*v. Let y be b(12). Solve y = -2*p - 0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1611 = -0*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g**2 + 2*g. Determine y(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89220 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-6900)\/220 - (-12)\/33)*1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -63.253. Let z = 0.25300181 - t. Round z to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3266 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {q: 1, u: 6, n: 8}.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - ((-2 - -4 - 8) + 13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0042 - 1.9658. Let s = 2.0628 + j. What is s rounded to three decimal places?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -351*c - 4766. Let s(k) = 703*k + 9556. Let q(l) = 7*i(l) + 4*s(l). Differentiate q(j) with respect to j.\nAnswer: 355","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**3*y**3 + 9*r**3*y**2 + 1118*r**3*y - r**3 + 3368*r*y**3 - 54*y**3 + 11 wrt y.\nAnswer: 24*r**3 + 20208*r - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y**(-4\/3)\/y)\/y)\/y**3*y*y**(2\/19)*y\/y**(1\/3)*y)**(-2\/11) assuming y is positive.\nAnswer: y**(178\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -429204440 to the nearest 1000000.\nAnswer: -429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1840 and (-1 - -16)\/(3\/92)?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 292914*g**2 - 9669531*g + 9962442.\nAnswer: 3*(g - 97671)*(g - 1)*(g + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130072*p**2 + 1040577*p - 8.\nAnswer: -(p - 8)*(130072*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001585155106 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33333 + -140322?\nAnswer: -224210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9747?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-16)\/(-9))*1632\/6732?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 5*f - 2 + 4*f. Suppose 3*u = 17 - 2. Let o(d) = 1. Let j(b) = u*o(b) + h(b). What is j(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*v + 7 = -1, -2*v = -5*s - 7. Let t(h) = -5*h - 5. Let p be t(-6). Let x(g) = 0*g + p - 11 - 12 + g. Give x(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3 = -x + 5, 0 = x + l - 2. Let o be (4\/132*22)\/(1\/3). What is the third derivative of -16*d**x + o*d**3 - 16*d**2 + 10*d**3 - 10*d**2 wrt d?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2*q = 0, -3*r + 109 = 2*q + 125 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 788, 790, 790, 788, 784, 778?\n\"Answer: -l**2 + 5*l + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6195401119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 32 + 17 = 0. Which is the third smallest value? (a) w (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46648 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1603 + -1587. Solve -12 = -3*l - 3*n, -2*l - h = n - 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 476 - 444. Solve f = 3*o + 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12*6\/240)\/(((-81)\/(-18))\/(-3))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -246.150629 to two dps.\nAnswer: -246.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 + 3.5. Let w = 33\/74 - -2\/37. Let p = 0.14 - 0.24. What is the nearest to p in w, d, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 3*f - f - 2*f + 2*f + 0*f - 3*f + f + (-2 - f + 2)*(6 - 4 + 0) + f + 3*f - 3*f)*(25 + 22 - 77).\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/23? (a) 0.5 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830.8294mm to meters.\nAnswer: 0.8308294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - -1)*1 - (-108205)\/335?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = t + 2*o, 2*o - 25 = 2*t + 5*o. Let g(l) = -3*l + 2. Let w(n) = -3*n + 3. Let x(v) = t*g(v) + 4*w(v). Find the first derivative of x(a) wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506876 = -15*q + 322054. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.75 - 36.5423. Round w to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1692 - -2106. What is the smallest common multiple of w and 460?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 6*o + 44. Let y be a(10). Suppose -y - 2 = -3*q, q - 4 = 2*z. What is the nearest to 1\/2 in z, -7, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/9 (c) 1 (d) -0.3 (e) 2425393 (f) -1 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w + 1. Let p(j) = -26*j + 2. Let y(h) = -9*f(h) + 4*p(h). Let o(t) = -5*t + 1. Let d = -6 + 4. What is d*o(z) - 3*y(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1985777 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/731160 and -77\/6060.\nAnswer: 73847160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197695 to the power of 1\/2, to the nearest integer?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:58 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8 = 39*t - 40*t, -g - 4 = 2*t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13986*h**2 - 24*h - 24. Let a(v) = 134559307*v**2 + 230901*v + 230901. Give -8*a(m) - 76967*r(m).\nAnswer: -13994*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88425*h = -88429*h - 4*q + 168, -12*h - 5*q + 189 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(420\/16))\/((-3)\/195) - (89 - 81).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 200214 - -2?\nAnswer: 200216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18461720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2120*k - 343 + 164 + 179 to the form m + d*k and give d.\nAnswer: 2120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*r + 41, -3*r = 5*s - 6*r + 47. Let m = s - -7. Let t be ((6 + 1)\/126)\/((-8)\/4). Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Let h = 5 - k. Suppose 0 = -r - h*r + 19. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 9*s = 1394 - 1726, -r = 6*s + 230 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 28.8. Do 4\/7 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhcycyhhlyicclicymiy. What is prob of picking 1 h, 2 l, and 1 i?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 11:45 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329820?\nAnswer: 2, 3, 5, 23, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 5 + 0)*(-7 + 2 + 3) + (-2 - 2 + 5)*(1 + 1 - 3))*(366985 - 367766 + 4*c - 2*c) to p + l*c and give p.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-75)*(-20)\/8. Put 2\/21, c, 2\/9, -2 in decreasing order.\nAnswer: 2\/9, c, 2\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163333157339253\/44215745941 - 17\/95912681. Let z = r + -3694. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 39 = 15*j, -4849*j + 4854*j - 43 = -3*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -912627 = -912632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20550335303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, k: 2, p: 2}. Give prob of sequence klll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 364904707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 28\/42*3\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 112\/1584*253?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-4914)*7*-3186?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*i - 4 = 3, 27 = 4*w + 3*i. Let a(s) = s**2 - 7*s. What is a(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2593 - 0.1593. What is the nearest to 2 in -1\/7, s, -6\/5, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2343)\/12)\/((-69708)\/(-592) - 115)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15063.87 - -97886913\nAnswer: 97901976.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39664.4 and -13.8.\nAnswer: -39678.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1. Let s(w) = -18*w + 18. Let u(j) = -18*d(j) - s(j). Let z(p) = 73 + 25*p - 17*p - 144 - 14*p + 71. What is z(u(v))?\nAnswer: -108*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 20*l**2 - 37*l + 16. Calculate a(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23317, -91975, -205975, -365317, -570001, -820027?\n\"Answer: -22671*w**2 - 645*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*v + 5 - 92, -5*v + 5*i + 145 = 0. What is the remainder when v is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**2*f**2 + 3*c*f**2 - c*f - 157*f**2 wrt c.\nAnswer: 12*c*f**2 + 3*f**2 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1930 and 5.3.\nAnswer: -1924.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-1)*a))**(-39)\/(a\/(a*a**2))**(-1\/9))**(-37) assuming a is positive.\nAnswer: a**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3\/37 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46427 (base 10) in base 14?\nAnswer: -12cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601502 is divided by 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -14405?\nAnswer: 14403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00995521 rounded to 4 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.956004 rounded to 2 decimal places?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 315?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/5, 4\/3, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from vuee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s**3 - 25*s**2 + 19*s - 1. Is d(-9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3042 - 3021 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2 + sqrt(51)\/sqrt(3) + -2)**2.\nAnswer: -28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -3, 10, 27, 48, 73?\n\"Answer: 2*m**2 + 3*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 3*t**2 + 12*t - 10. Let y be m(7). Suppose 0 = -3*k + s + 225, -k = 4*k + 3*s - 389. Suppose -k = 4*z - y. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 34, -15, 28\/11, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.608694 rounded to three decimal places?\nAnswer: 0.609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8 and 133\/7212.\nAnswer: 14424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 15 = -4*x, 0 = -2*j - x + 163. Let d be (8*24)\/3 - -2. Suppose 18 = 3*r - d. Calculate the remainder when j is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 1083 = 8*c - 55*c. Put c, -9, -3, 4, 1 in ascending order.\nAnswer: c, -9, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581922085, -581922084, -581922083, -581922082, -581922081?\nAnswer: -581922080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + (-6 - (0 - (9 - 7)))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, c: 6}. Give prob of sequence ck.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8 = 3*g. Suppose -g*b + 107 - 279 = 0. Round b to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 5 - 4 - 5. Let i(c) = -c + 1. Let x = 6 + -2. Determine x*i(v) + q(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15334233524 - -5?\nAnswer: 15334233533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*x + 2\/5*x**3 - 2\/5 - 6\/5*x**2 = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2128*j - 59*j**2 + 2128*j + (3*j - 2*j + j)*(8*j - 15 + 15) - 3*j**2 + 2*j**2 - 2*j**2.\nAnswer: -46*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5 - 3175*f**4 - 12710*f**3 - 19070*f**2 - 12715*f - 3179 = 0?\nAnswer: -1, 3179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -568 - 1529. What are the prime factors of d?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Suppose 3*q - h = 2*q. Solve -3*i = -20 + q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {q: 4, c: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 65965184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 2\/9, 4, -2, 17\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 4*m - 1. Let a be h(-3). Let w be 10\/6 + a\/6. Find the first derivative of 0*v**2 - v**w + 3 - v**2 wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 14*q**2 + 5. Let h be b(14). Suppose 4*f = 3*k + 3*f - 3, 2*k + 4*f = 16. Solve -3 = k*l - l, v = -l - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odosoooddpdodo. What is prob of picking 1 p and 1 d?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*g + 29. Let a = 32 - 19. Calculate the remainder when g is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 938, 89, 0.09 in decreasing order.\nAnswer: 938, 89, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t - 116. Let z be d(11). Which is bigger: -34 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 5:15 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**3\/2 + x**2 + 10*x. What is the tens digit of f(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.005 and 0.9?\nAnswer: -1.8045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwowwwo. What is prob of picking 4 w?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 6710?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6974 or -6975?\nAnswer: -6975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmlbidbmiibmmdli. What is prob of sequence mm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.342520632 rounded to 3 decimal places?\nAnswer: -0.343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 5b313?\nAnswer: 5b310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7624.49 + -40.49. Let v = 7584.0099965 - y. Let r = 0.01 - v. What is r rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 881? (a) 0.3 (b) 4\/13 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4957 + 5141. Calculate the greatest common divisor of p and 400.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**7\/28 - t**6\/10 + t**4\/4 + t**3\/4 - 5*t. Factor d(n).\nAnswer: -3*n*(n - 1)*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3)*h)\/h*h)**(-37)*(h*h*h*h**3*h*h)\/h**(-3\/10) assuming h is positive.\nAnswer: h**(-1231\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 14 + -8 - 58) + -13 - -16?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/60 - y**4\/2 + y**3\/2 + 15*y**2. Let v be p(12). Solve 0 = -2*z + r + v*r - 2, 1 = z - r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {y: 6, m: 1, l: 1, x: 6, s: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 17 - 58. Suppose 0 = 4*m - h + w, 0 = -2*m + 6*m - 5*h - 5. Let q(a) be the first derivative of -a**2\/2 - 7*a + 2. Give q(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (6 - -1)\/7. Solve 0 = c*r + 2*y - 10, 10 = 3*r + 2*r - y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -0.4 (c) 16\/637 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*d**3 + 11*d**2 + 17*d**3 + d**2 - 4*d**2 + d + d + 36 wrt d?\nAnswer: -90*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4564 and 136.\nAnswer: 155176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -597117\/22 - -27137. Calculate the common denominator of 5\/8 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 5*x - 21 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 n when three letters picked without replacement from {l: 2, o: 4, n: 3, v: 1, i: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2dc6e20 - 7?\nAnswer: -2dc6e27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**12\/j))\/j)**(-44)*j**0*j*j**20 assuming j is positive.\nAnswer: j**549","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1387 - -1391. Solve 8*s - 60 = j for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:05 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*2*-4 + sqrt(1088) - sqrt(1088))**2*-1 + (-6*3*1*sqrt(1088))**2.\nAnswer: 282880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 - 2*g + 3. Let s be q(0). Let z(t) be the third derivative of 0*t - 1\/3*t**3 + s*t**2 - 1\/90*t**5 + 0 - 1\/9*t**4. Let z(d) = 0. What is d?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 3*f**2 + 4*f + 2. Suppose 33 = 2*t - 3*n + 36, 0 = 2*t + 2*n + 18. Determine c(t).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**3 - 2*r**2 + r + 1. Let v = -51 + 48. Is o(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -326*s + 125. Let i(u) = 2*u - 12. Give 9*i(o) + r(o).\nAnswer: -308*o + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minus 1072.67412?\nAnswer: -555.67412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2086*d**4 + 20856*d**3 + 52110*d**2 - 100*d.\nAnswer: 2*d*(d + 5)**2*(1043*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363630\/165 + (-2)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**6\/75 - 7*t**5\/50 - 4*t**4\/15 + 16*t**3\/15 + 140*t. Factor f(s).\nAnswer: -2*s*(s - 1)*(s + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 6*c. Let i(d) = -10*d - 3*d**2 - 2*d - d + 0*d**2. Let z(o) = 2*i(o) + 5*r(o). Calculate z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and 100496?\nAnswer: 100496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1772132 - 0.01?\nAnswer: -0.1872132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b - 57. Let m be c(15). Let h be -2 - ((-3)\/(-6))\/(3\/m). Solve -w + h = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 13*x**2 - 9*x + 15. Let b be o(14). Suppose 0 = -61*p + 66*p - b. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 109.\nAnswer: 1, 3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2707 and 0.06?\nAnswer: -0.016242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 66220?\nAnswer: -3\/66220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 (base 10) in base 4?\nAnswer: -13020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-12\/17)\/(z\/(z\/z**3))*(z*z**(-4))\/z**(2\/7) assuming z is positive.\nAnswer: z**(-832\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211054 + -214?\nAnswer: 210440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 11*o + 8. Let l be r(10). Let n be (-3)\/l*(-12)\/144. Let m = -221 - -224. Which is the nearest to m? (a) -0.2 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 35 = r, -r - 4*r + 5*i + 155 = 0. What is the first derivative of -48 - 5*q**2 - r + 106 wrt q?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93, -330, -709, -1230, -1893, -2698, -3645?\n\"Answer: -71*o**2 - 24*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 78?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**16*a**(11\/5)\/a*a*(a**(-12)*a)\/a*a assuming a is positive.\nAnswer: a**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hltthfmttf. What is prob of sequence hh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5.19 times 9\nAnswer: 46.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 15*f**2 - 26*f + 9. What is the remainder when 24 is divided by a(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 38*h + 11\/2*h**2 + 38. List the prime factors of x(18).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Suppose 2*q + y = 8. Solve -j - 2 + 1 = -4*m, q*j + 2 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*w - 46, 89 = 4*w - 2*u + 5. Suppose -w*b = -26*b + 40. Solve -3*q = g + b, -4*q - 5*g - 29 = -1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 64900*t + 25936600.\nAnswer: 4*(t + 410)*(t + 15815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 373? (a) -0.3 (b) -1\/49 (c) -2\/7 (d) -12 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 841541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, h: 6, x: 1, w: 2}. Give prob of sequence hx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 5*c - 1. Let x be b(-4). Let w = -5 + 7. Suppose 5*j = -20, -x*g - w*j - 47 + 153 = 0. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*u - 972, 2*s - u - 194 = 200. Suppose s = 43*v - 39*v. Is v a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 226040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 289901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, d: 2, p: 1, h: 1, f: 1, y: 3}. Give prob of picking 3 k and 1 f.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 124, 274, 504, 832, 1276, 1854, 2584?\nAnswer: 3484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4*(-36 - -32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -5*k - 5 - 4, -2*k - 10 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**2 - 39*l + 19. Let x be m(-7). Let c(j) = -j**3 - 22*j**2 + 48*j. Let n be c(-24). Sort n, x, -1, -6 in descending order.\nAnswer: n, -1, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 0*b**3 - 3\/2*b**2 + 0*b**4 + 0*b + 0*b**5 - 4 + b**6. Find the second derivative of p(a) wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 - 3. Let i(d) = -6*d**3 + 11*d**2 - d + 16. Let g = -43 + 100. Let s = g + -6. Suppose -3*w - s = -18. Calculate w*q(z) - 2*i(z).\nAnswer: z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27983 is divided by 84.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2352\/5*j**3 + 0*j - 2\/5*j**5 - 594\/5*j**4 - 2344\/5*j**2.\nAnswer: -2*j**2*(j + 2)**2*(j + 293)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:19 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 501*i**2 + 258*i + 1765. Give r(-251).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759454 is divided by 497.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 0.02. Let k = 23.99 - i. Let r = k - 23.9. Which is the closest to -1? (a) 1\/6 (b) -3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 <= 1492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, i: 5}. What is prob of sequence hhi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**7\/60 + t**5\/60 - t**4\/24 + 8*t**3\/3 - 4. Let v(k) be the third derivative of p(k). Calculate v(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 27*s - 773. Determine j(28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 6*a - 26. Find the second derivative of -23*z - 11 + 5*z**a + 1 + 8 wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 233 - 1621\/7. Find the common denominator of -25\/12 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2421 - 1639 = -193*j - 97*j. Let o(s) = -s**2 + 11*s + 37. What is o(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*m + 66811 = 91939 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 169749121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 145*g**2 - 2*g + 4. Let u(m) = -104*m + 3. What is u(q(j))?\nAnswer: -15080*j**2 + 208*j - 413","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9)*(-4 - -1). Let i(z) be the third derivative of -z**6\/120 + z**5\/60 + z**4\/24 - z**3\/6 + 118*z**2. What is i(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*-44*(-549)\/8052*(-2)\/(-19)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13373 is divided by 1485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -8, 3*f - u - 156 + 28 = 0. What is the highest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 + 6*n**2 + 20. Let z(g) = -8*g**3 - 13*g**2 - 41. Let f = 7 + -13. Let p(o) = f*z(o) - 13*v(o). Differentiate p(y) with respect to y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 + 127. Let x(f) = 3*f - 53. Let v be x(l). Put -6, -3, v in descending order.\nAnswer: -3, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2624*o**2 + 1415*o + 1. Let l(k) = 3*k - 1. Let m(r) = l(r) + n(r). What is the second derivative of m(q) wrt q?\nAnswer: -5248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*(-5 - -2))\/1. Let v be s\/(-9) - (-619)\/3. Suppose 0 = 3*j - v - 1146. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443.3361 - 1031.\nAnswer: -587.6639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**4*((j\/((j\/j**(-3\/7))\/j))\/j*j)\/j**(-1\/4) assuming j is positive.\nAnswer: j**(181\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 6:05 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 170510950.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -274701, -274697, -274693, -274689, -274685?\n\"Answer: 4*j - 274705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*s**3 + 269*s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6467 and -0.5?\nAnswer: 3233.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**8\/42 - 2*l**5\/15 + 5*l**2\/2 + 2. Let n(m) be the second derivative of d(m). Find the third derivative of n(x) wrt x.\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2736) + -2*sqrt(2736) + 3 + -6*(sqrt(2736) + -2) + (sqrt(2736)*1*2 - (-1 + (sqrt(2736) + 2 - sqrt(2736)))))**2.\nAnswer: -1200*sqrt(19) + 68500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3)**50\/(t**(1\/3)*t*t*t*(t*t*((t\/(t**17\/t*t))\/t)\/t*t*t*t)\/t) assuming t is positive.\nAnswer: t**(482\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -586189.6 to the nearest one thousand.\nAnswer: -586000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 8*j - 41. Calculate b(20).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 + 11150*p - 2743572 = 0. What is p?\nAnswer: 258, 5317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71825923 to the nearest integer?\nAnswer: 8475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/10)\/((-52)\/390). Let v(d) be the first derivative of d**4\/4 + 5*d**3\/3 - 3*d**2 - 4*d - 76. Determine v(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*m + 26*m - 60 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/135*(-354)\/(-32) and -45\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = -o + 40*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 * 2814735\nAnswer: 11821887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 293450788 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 at least 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49294*m = -49281*m + 2*j - 70, 57 = 3*m + 5*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 14. Calculate r(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/7*z**2 - 368\/7*z - 1058\/7.\nAnswer: -2*(4*z + 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201015 = -3*p - 5*d + 2*d, p - 66980 = 4*d. What is p rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103119?\nAnswer: 3, 37, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*b**3*g**2 + 14*b**3*g + 23*b**3*p + 82*b**2*g**2*p + 11*b**2*g*p wrt g?\nAnswer: -32*b**3 + 164*b**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -13*h + 3. Let g(z) = 6*z - 1. Let p(f) = -5*g(f) - 2*j(f). Let m(v) = 15*v + 4. What is -6*m(l) - 22*p(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -9. Let n be 2\/(-13) - 290\/650. Which is the nearest to 1? (a) l (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + -2 + sqrt(153) + sqrt(153) + 2*(sqrt(153) + -2*sqrt(153)*3 - sqrt(153)))**2.\nAnswer: -60*sqrt(17) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386713499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 347662?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 - -20. Suppose -r + 2*h = 2*r - 69, 4*r + 4*h - y = 0. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 198, 392, 598, 822, 1070?\n\"Answer: v**3 + 187*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9012694, -18025384, -27038074, -36050764, -45063454?\nAnswer: -54076144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 + 2*x**2 + x. Let i = -29 + 18. Let v = -13 - i. Calculate u(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from gbbbbbgbbb.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 9*t**2 - 12*t + 32. Determine x(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 466, 699, 932, 1165?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-2 + -12*(-10)\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 1, m: 2, n: 4, s: 2}. What is prob of picking 1 n and 1 s?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542295782 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 26*g**2 - g. Let l(t) be the first derivative of -21*t**3 - 1136. Calculate w(l(p)).\nAnswer: 103194*p**4 + 63*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2178\/680 - 16\/(-40)) + (-276)\/(-368) - 4.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014375 rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65370 and 10782.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1827 - 1827 - 15*k**2. Let u(p) = 3*p**2 - 5*p. Let z(x) = x**2 - 2*x. Let s(t) = -2*u(t) + 5*z(t). Give s(i(g)).\nAnswer: -225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1746975 - 3?\nAnswer: -1746978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 710 + -455. Let y = -152 + b. Suppose y*z - 130 = 102*z. Calculate the remainder when z is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i + 81*i + 216 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - -604*2\/(-48).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -4*b - 2*q, 0*q = q + 1. Let l be 12*(-1362)\/(-234) + 2\/13. Suppose 2*c = -8*c + l. What is the remainder when b is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5916 and 27492.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/17)\/(144\/432). Which is greater: -1\/2 or h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000121022122 (base 3) to base 7.\nAnswer: -4422035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-459)\/(-18)*8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 8) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 11:43 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + m - 1. Let p be z(1). Let d = 50109 - 8167768\/163. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/405 and 52\/199665.\nAnswer: 199665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220*k*x**5 - k + x**5 - 11*x**4 - 148*x**2 wrt x?\nAnswer: 13200*k*x**2 + 60*x**2 - 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3\/8, 4, -5, -15\/52, -0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/22 and 107\/1404?\nAnswer: 15444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*o**2 + 70 + 26 as v + z*o + r*o**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164)\/2 + (-23104983)\/(-281940)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/sqrt(10)*4*-5.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 684\/(-228)*(-1)\/3*-23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (sqrt(832) + sqrt(832) + -4 + -2)**2 - ((sqrt(832) - (sqrt(832) + 2)) + -5).\nAnswer: -184*sqrt(13) + 3371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 32*c**2 + 55*c + 114. Calculate s(30).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 6:49 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 7*l**2 - 7*l - 5. Let c be f(8). What is the remainder when (-28)\/(2 + (-8)\/c) is divided by (3\/4 - -3)*4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d = 480. Let l be 2\/(-5) + d\/140. Factor 2\/7*m - 2\/7*m**3 - l*m**2 + 0 + 2\/7*m**4.\nAnswer: 2*m*(m - 1)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.00073 or -356\/7?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -22*l + 10. Suppose -2*q = -0*q + 10. Let y = 13 + -8. Let i(u) = -2 - 7*u + 0 + y. Determine q*k(g) + 16*i(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/8 - 5*d**3\/3 + d**2. Let y be n(-4). Factor -c + 6*c + 2*c**y + 2*c - 3*c.\nAnswer: 2*c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {n: 1, l: 4, k: 2, v: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + (sqrt(275) + (sqrt(275) + 4 - sqrt(275)))*-4 + sqrt(275))**2 - (-6*(sqrt(110) - sqrt(110)*-2) + sqrt(110))\/sqrt(10)) + 3.\nAnswer: 337*sqrt(11) + 1359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5919*o = 5917*o - 7*k + 55, -5*o + 5*k - 20 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9071688 divided by 6\nAnswer: -1511948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/3 + 30994*a\/3 + 240157009\/3 = 0?\nAnswer: -15497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*y + 12*y + 0*y)*(-4*y + y + 6*y).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (172*k - k**2 - 172*k)*(2 - k + 3*k - 3*k) to q*k**2 + x + c*k + u*k**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l. Let k be 38\/95*(4 - -1). Suppose -11 = -4*v + 1. Let g(q) = -3*q + v*q - k*q. Give g(j(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n. Suppose 14 = 5*w - 4*k - 1, n = -3*w + 5*k + 9. Let m(d) = w*d**2 - 2*d + 2*d. Let s(l) = -2*l. What is s(m(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 375, 5, 133, -5, -23, -1 in increasing order.\nAnswer: -23, -5, -1, 5, 133, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12))\/((-29)\/(-116))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*z - 0*w - 106, -5*z + 4*w + 288 = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/25*(-4)\/(-13). Let d = q + 94\/585. What is the second biggest value in d, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218221 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 10:21 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 601739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -39. Let b = d + 10. Let l = 16 - 14. What is the second smallest value in -1.2, l, b, 2\/7?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 56*w**2 + 581*w + 592. Give x(-9).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 4712331?\nAnswer: 4712331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 77, 77, 41, -37, -163, -343?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.41211 and 0.0273.\nAnswer: 4.43941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819775505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2399 - -0.2399. Which is the nearest to 1? (a) k (b) -8 (c) 0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 9\/5)*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13769.38 + 13593. Round i to the nearest integer.\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1655 - 1650. Let l = 0.43 + -0.24. Let m = -0.81 - l. Put k, m, 0, -4 in descending order.\nAnswer: k, 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by (1 - 3\/(-1))*533\/82?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 14 = 21. Let d(j) = 8*j - i*j - 2*j. Let c(y) = -55*y. What is c(d(s))?\nAnswer: -55*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**5 - 77*j**4 - 17 + 96 - 23*j**2 - j + 21 + 23*j**2 wrt j?\nAnswer: -40*j**3 - 924*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/4 and -33\/158.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -6\/5 (b) 8.4 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 12546, 3 in increasing order.\nAnswer: -3, 3, 4, 12546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 931577 (base 15) in base 13?\nAnswer: 15aa008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -155. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**6\/120 + 3*n**5\/10 - n**4\/3 - 64*n**3 - 512*n**2 - 866*n. Factor t(u).\nAnswer: -(u - 16)**2*(u + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*v + 4 = -2, -v + 6 = 5*h. Suppose 198*p**2 + 3*p - 404*p**2 + 202*p**h + p**3 = 0. What is p?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1334*u = 1197*u - 2329 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*o - h - 4, -5*o - h = -22. Solve 10 = o*i - 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 149*m = -153*m - 4, -3*m - 3 = 5*u. Solve u = 29*p + 111 - 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20064 and 38940.\nAnswer: 5918880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15451, -15611, -15771, -15931, -16091?\nAnswer: -16251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112507822943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7580 = 3*z - 8*z. Is (95\/10 - 8)\/((-2)\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -13*a - 7*a. What is the second biggest value in 0.5, 3, a, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from -495832475.\nAnswer: -495832492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b. Let u(w) be the third derivative of w**6\/90 + w**3\/2 - 4*w**2. Let k(q) be the first derivative of u(q). Calculate t(k(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 57382634?\nAnswer: -57382631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*n - 6, 3*n = 7*n - 5*d - 12. Suppose -5*o + 3*k + 9 = -9, 2*o - 5*k - 11 = 0. Suppose 0 = -0*p - o*p. Solve -3*y = n - p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -2201?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:13 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 548 + -16623?\nAnswer: -16064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 + 6*b**2 - 6*b - 6. Let o(n) = n**3 + n + 1. Let m(q) = h(q) + 5*o(q). Is m(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6321*k*y**3 + 51*k + 16*y**3 - 555*y - 2 wrt y.\nAnswer: -37926*k*y + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 2*k - 10*k**2 + 13*k**2 + 3 - k. Let s(m) = m - 1. Give -i(p) - 3*s(p).\nAnswer: -3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)*d\/(d\/((d*d**(2\/51))\/d)*d*d)*d*d*d**(1\/18)*(d*(d*d*d**31\/d)\/d)\/d*d assuming d is positive.\nAnswer: d**(7679\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/80 and 27\/248.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -26. Let s(w) = -w**3 + 3*w**2 + 5*w - 1. Let z be s(4). Suppose 4*b = z*b + 22. What is the remainder when b 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 95, 96, 69, 2, -117, -300, -559?\n\"Answer: -2*g**3 - 2*g**2 + 21*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496345 divided by -99269?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.9668 to 1 decimal place.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2339 times 1.111\nAnswer: 2598.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 5\/91, 4, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1275, -1567, -2047, -2709, -3547?\n\"Answer: r**3 - 100*r**2 + r - 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 6*z - 6. Let r be s(4). Let o = 80184 - 80160. Calculate the remainder when o is divided by (1 + 7\/2)*r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*u + 95 - 95 + (-1 - u + 1)*(-1 - 5 + 4) + (15 - 15 - 8)*(4*u + 0*u - 3*u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h + 3. Let t(u) be the first derivative of -5*u**2\/2 - 3*u + 23. Calculate -5*t(k) - 4*v(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156202.2 + -156202. Let r be 4*((-57)\/54 - -1). Let q = 18 + -13. Which is the second biggest value? (a) q (b) r (c) y (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 6 in descending order.\nAnswer: 6, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*q - 4*v + 6, -3*q - 4*v = -8. Let c(o) be the third derivative of o**4\/24 + 143*o**3\/6 - 2*o**2. Is c(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46017?\nAnswer: 3, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2. Let o(k) = -23*k + 2. Calculate o(n(f)).\nAnswer: 69*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 + 53 + 57 - 161 - 96*k**2 + 2*k as t + i*k**2 + v*k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 25*i**2. Let m(x) = -51*x**2 - x. Determine -3*m(n) - 5*p(n).\nAnswer: 28*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -857 and -0.3.\nAnswer: 257.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -270 + 291. Calculate the greatest common divisor of l and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*a - 1620 = 404*a. Calculate the smallest common multiple of 10 and a.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -28, -64, -110, -166?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -132, 55, 9 in decreasing order.\nAnswer: 55, 9, -1, -2, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39194 is divided by 5137?\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -71, 11, 9 in decreasing order.\nAnswer: 11, 9, 5, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + a = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llq when three letters picked without replacement from {q: 6, l: 7}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11496.1 - 11496. What is the nearest to 1 in -0.3, x, 2\/13, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1883, -3261, -4639?\n\"Answer: -1378*f - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.23, 5, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 5*u**2 - u. Let r be m(-5). Put r, 4, -5, -3 in ascending order.\nAnswer: -5, -3, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 19 = -4*l + 16, 4*l = -6*a + a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/u)**(-1\/36)*(u\/(u\/(u\/(u\/((u\/(u*u*u\/(u\/u**(1\/3))*u))\/u)))))**(-32) assuming u is positive.\nAnswer: u**(15365\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + sqrt(44)*-3)*1 + -4.\nAnswer: -6*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(8\/(-12)))\/((-11454)\/(-332))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 11382.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234214401 (base 5) in base 2?\nAnswer: 10011000010101101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166187793.\nAnswer: 3, 55395931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 6*d - 24. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754496196.\nAnswer: 2, 3, 62874683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20730 + 9906. Let i = 19936 - z. Round i to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6326 (base 7) to base 11\nAnswer: -1743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, s: 2, g: 1, i: 4}. What is prob of sequence vk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216749, -434541, -652333?\nAnswer: -870125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z**2 + 2. Let x be c(-1). Let s(a) = -90*a - 11. Let j be s(x). Let r = j - 417. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -5 - -5) + -9 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.376633438 rounded to 3 dps?\nAnswer: -0.377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -6)\/((-24)\/(-39)). Which is greater: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 11*f**2\/2 + 6*f + 39. Let l be r(0). Solve -8*t = -l*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01699256 + 0.017. Round r to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 738246*h**4 - 522262*h**2.\nAnswer: 17717904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1038.1783 to the nearest ten.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38415, -73559, -108703, -143847, -178991, -214135?\nAnswer: -249279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 192\/(-30) + ((-6)\/10 - 0). What is the remainder when 110 is divided by (-2 - 2)*f\/1?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47955*m + m**2 + 23972*m - m**2 - 131*m**3 + 23983*m.\nAnswer: -131*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + 9)\/((-1)\/3). Suppose -4*v = 5*b - 553, 4*b - 98 = n*b - 5*v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 668.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**28*c)\/c*c*c**(-3\/13)*c)\/(c**(1\/8)*c**(2\/27)\/c) assuming c is positive.\nAnswer: c**(85841\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.049549 + -0.049549. Let k = -1.8 - -1. Sort 1\/6, y, k, 3 in decreasing order.\nAnswer: 3, 1\/6, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -532792 from -98282428.\nAnswer: -97749636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.2, 7, 18, -2\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**7\/7 + 31*r**4\/4 + 37*r**3\/3 + 69. What is the third derivative of y(u) wrt u?\nAnswer: 120*u**3 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45859799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42296 and 4?\nAnswer: 42296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (-4 - -11 - (-44540)\/10).\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/698 and 41\/4807.\nAnswer: 3355286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*o - 12, -3 = 3*o - 4*o. Solve -3*x - 2*x = -2*g + 15, -g - c*x = -2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.157 - -91.157. Let q = 85 - i. What is the third biggest value in 0.5, -2\/3, 2\/5, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 485*m**4 - 8*m**2 - 188*m. Let k(j) = j**4 + 2*j**2 - j. Let v(f) = -g(f) - 4*k(f). What is the second derivative of v(w) wrt w?\nAnswer: -5868*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = 15. Let z(k) be the third derivative of 5*k**4\/12 + k**3\/6 - 2*k**2. Is z(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/171 and 23\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -493 + 492.7. Let g = 0.87 + -6.87. Sort c, g, 2.\nAnswer: g, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: a70a (base 15) to base 11\nAnswer: 24603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683*p + 586*p = 2813. Let y be ((-8)\/6)\/(2\/(4 - -2)). Sort y, -5, p in ascending order.\nAnswer: p, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411162287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 2)*(16*v - 26*v + 17*v + 29*v + 20*v).\nAnswer: -224*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*d = 14 - 3, 3*b = -2*d + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 6)\/1*-1. Let m(p) = -p + 10. Let d be m(y). Suppose 13 = 4*b + 5*v, 0 = 3*b - d*v + 2*v + 19. Sort b, 4, -4 in ascending order.\nAnswer: -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.0611 (b) -10 (c) 2\/9 (d) 0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -5. Let w = 17 - 16. Suppose -4*f + w + 19 = 0. Put v, -2, f in increasing order.\nAnswer: v, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, g: 3}. Give prob of picking 4 y.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 - 13*d**2 + 8*d - 8*d - 31*d**3.\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 0. Let z(q) = q**3 + q - 7. Let f be z(0). Let b = w - f. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 32.7808 (b) 1.6 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/80 + 77*c**5\/20 - 305*c**4\/16 + 38*c**3 + 68*c**2 + 4*c. What is k in w(k) = 0?\nAnswer: 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8938*x + x**5 - 8938*x - 68)*(2 + 0 - 1).\nAnswer: x**5 - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - u = 22, -5*n + 7480 = 8*u + 7471 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -11. Let v = c - -86. What is the third smallest value in v, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*n - 10 = 0, 2*b + b + 2*n = 4. Suppose -5*t + b*x = -0*x, -4*x = -t - 18. Solve -3*v + t*k - 12 = 5*k, 3*v + 9 = -2*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*v - 22*v - 336072 = 0. What are the prime factors of v?\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-27))\/((-6)\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-15) + (-10)\/(-2))\/1. Suppose -5*t = 4*w - 22, -5*w = p + 5. Solve -2*i - 10 = -l, -4*l - 4*i - 2 + t = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 16 = 2*o, 10*o + 5*u + 24 = 14*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (3641\/(-3))\/(41\/(-123)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*3\/(-2) + 16\/4. Let f(q) = -977 + 2*q**2 - 11*q + k*q**2 + 2*q**2 + 984 + q**3. Determine f(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(2 + 2 + -3). Suppose 0 = q*g - 0*g - 70. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 plus 1306?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 168\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-45 - -45)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -116 - 108 + 81 - 80*w. What are the prime factors of x(-9)?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 17*b - 308. Suppose -6 = u - 2, 3*q = -u + b. Calculate the smallest common multiple of 21 and q.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 451*c**4 - 1720 wrt c?\nAnswer: 1804*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6891278.31\nAnswer: 6891281.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -2. Let a be 110 + 8\/f + 0. Let t = 62 - a. What is t rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*t = 430, -3*t + 19 = m - 181. Suppose m = 4*g - 179. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, 1\/3, -3\/7, -2\/7, -4, 19\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f. Let q(x) = 8*x + 4. Determine q(l(m)).\nAnswer: 32*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -802 (base 10) to base 2\nAnswer: -1100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.211 rounded to 1 decimal place?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2. Let v(r) = 2 + 7 - 5 - 3. Let m(h) be the first derivative of h**2 + 5*h - 6. Let l(x) = -m(x) + 5*v(x). Give s(l(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -233, -2, 1 in ascending order.\nAnswer: -233, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:47 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 6. Let f be u(6). Solve f*a = -5*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000111461385 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-7) - 2\/(-1). Let k = 3.044 + -0.044. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232221 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 361101 a multiple of 591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-96)*52\/(-845))\/((-1)\/8).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 18 = -2*w, 0 = -5*w - 0*w + 2*i + 48. Suppose 0 = 2*y - 2 - w. Suppose r = -0*r + y. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93640 is divided by 3159.\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000680534 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388444494 is divided by 1804.\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/5 + 4728326*x**2\/5 - 279463098112*x - 698658927362\/5.\nAnswer: -2*(x - 591041)**2*(2*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**3 - 3*j + 2 + 8*j**3 + 5*j + 4*j - 4*j**2. What is v(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1314132 (base 6) to base 2.\nAnswer: -10001101000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 71*x - 13. Let q be d(-3). Let y = -84 - q. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o + 4. Let a(w) = 13. Let b(y) = -2. Let q(v) = -a(v) - 6*b(v). Let g(l) = 3*l**2 - 6. Calculate o*g(c) - 6*q(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*a**4 - 11*a**5 - 110*a**3 - 2447*a**2 + 2347*a**2 + 130*a - 9*a**5 - 25 = 0. What is a?\nAnswer: -1, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -110654.\nAnswer: 1\/55327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -4, 0.3, -457, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {b: 1, x: 8, v: 2, g: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4287 + -4283. Let c(m) be the first derivative of -29*m + 0*m**2 - 3\/2*m**t + 0*m**3 - 22. What is the first derivative of c(y) wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:34 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 6, s: 6, q: 1, p: 1, i: 4}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -93. Let l(o) = -563*o + 93. Give -4*l(y) - 4*m(y).\nAnswer: 2252*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5242 + 1)*(-10)\/6. Suppose -t = -0*y - 2*y + a, 5*t = -5*y + 21815. Let x = 8266 - y. What is x rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/5*m**5 + 0*m + 0 + 0*m**2 + 18\/5*m**3 + 3\/5*m**4 = 0. Calculate m.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4268?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15637 is divided by 4982?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 1631*j\/4 + 1633\/2.\nAnswer: -(j - 2)*(j + 1633)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*f - 5241*f**2 + 2624*f**2 - 5*f**4 + 2608*f**2 to the form s*f**2 + m + a*f**4 + t*f + k*f**3 and give t.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*z - s - 9, 2*s + 2 = 0. Let m(g) = g**3 + g**2 - 5*g - 3. Let f be m(-3). Let w be 6\/(-4)*8\/f. Solve -r = i - 4*i + z, -w*i + 4 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 317 - 317.0479. Round w to 3 decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38590.\nAnswer: 2, 5, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - q + 5*d + 33, -4 = -3*q + 2*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80.4 + 114.7. Let b = m + -162. Let a = b + -33. What is the closest to a in 0.04, 0.3, -2\/13?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 13 = 9*u + 77 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18054.95454 nanoseconds in weeks?\nAnswer: 0.00000000002985276875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 96*b - 642. Determine h(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 - 7*z + 2. Let b(s) = -4*s**3 - 8*s + 2. What is 5*b(t) - 6*d(t)?\nAnswer: -2*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h - 1. Let j(s) = -3 - s + 6*s**2 - 1 - 4*s**2 + 3*s**2. Let u be (-1)\/4 + (-138)\/24. Let i(k) = u*a(k) + j(k). Calculate i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -237 - -243. What is the fourth smallest value in 0.06, d, 5, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788543 is divided by 1580.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 228 + -225. Which is the smallest value? (a) -2 (b) 10 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7*a**2 + 3*a + 11. Let y(s) = -s**3 + s**2 + 2*s. Let l(h) = w(h) - 2*y(h). Calculate l(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -451, 1, -5, -1, 2, -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51a + 2?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 17526960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 3 (c) -1 (d) -263\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9961 - 7074. Suppose 0 = 4*h + 5*v - l, 0 = -h + 6*h + 3*v - 3625. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -7. Suppose 2*c - w = 0, i - 2*c + 6*c = 48. Suppose 6 - 2 = a. Solve -a*m = 3*n + 28, -3*n = 7*m - 2*m + i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 9, 1 in descending order.\nAnswer: 19, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1461, 3064, 4751, 6564, 8545?\n\"Answer: 7*v**3 + 1554*v - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 11:08 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*v + 4*v - 6*v)*(2 - 5 + 1) + v + 0*v + v - 4*v + 6 - 6)*(19 - 19 + 5*v) to the form b*v + n*v**2 + k and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7848278 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/24)*u*u**(-2\/27))**(12\/11))**49 assuming u is positive.\nAnswer: u**(9359\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + o**2 + o - 1. Let z be l(1). Suppose 4*j - 2*p = 54, -15 = -j - 4*p + z*p. What is the lowest common multiple of j and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 4:32 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 396, 1435, 3452, 6771?\n\"Answer: 54*w**3 + 3*w**2 - 2*w - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**4 + 2*m**4 - m**4 + 2*m - 2*m + m**4 + (-4 + 1 + 5)*(-m**4 - 2*m**3 + 2*m**3).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = 4*f, -2*x + 4*f + 22 = 2*f. Suppose 0 = -0*v - 6*v + x. Put v, -4, -1\/2 in increasing order.\nAnswer: -4, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -260347, -1041068, -2342275, -4163968, -6506147, -9368812, -12751963?\n\"Answer: -260243*r**2 + 8*r - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - z + z**2 - z + 1. Let g = 180 - 180. Suppose g = -80*j + 85*j - 10. Determine w(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 3*h - 4. Let o be v(2). Calculate the highest common factor of o and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/9945177 and 32\/20794461.\nAnswer: 228739071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -31*v**3 + 5*v**2 + 5*v + 5. Let b(y) be the first derivative of -171*y**4\/4 + 9*y**3 + 27*y**2\/2 + 27*y - 309. Give -5*b(z) + 27*k(z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131140724.\nAnswer: 2, 11, 13, 229267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/((-8)\/(-96)). Sort 4, z, -1, 5 in descending order.\nAnswer: 5, 4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 18*x + 991. What is the units digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -92*d + 183. Give i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*((x\/(x*(x*x\/(x**23*x)*x)\/x*x))\/x)\/x)\/(x*x*x\/(x*x\/(x\/((x*x\/(x\/((x\/(x\/(x*(x*x*x\/x**(-5\/8))\/x*x)*x))\/x)))\/x)))) assuming x is positive.\nAnswer: x**(173\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15240556, 30481117, 45721678, 60962239?\n\"Answer: 15240561*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -367 + 1bb2?\nAnswer: 184a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.71423 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3769*f**2 + 9*f + 71. Is s(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 2*f**2 - f - 2. Give q(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m**2 - 17*m + 17*m)*(-3*m**2 + 1 - 1).\nAnswer: 33*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26919 - 26693.372. Let x = i + -226. Round x to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*a - 65 = 0, -4*a - 55 = 3*d - 6*d. Suppose -p - 5*t = d, 4*p + 3*t + 11 = 2*t. Let v = -3709 + 3709. Which is bigger: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(1\/3)*k**(8\/5)*k**(1\/12)*k*k*k**(-13)*k assuming k is positive.\nAnswer: k**(-419\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a tonne in kilograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6728, 53501, 180302, 427115, 833924, 1440713, 2287466?\n\"Answer: 6664*f**3 + 30*f**2 + 35*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1673984 and 11804.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 2873*o**3 + o - 492*o**3.\nAnswer: -3365*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:16 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/12 and 145\/15636.\nAnswer: 15636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 328 = -2*t, 0 = -3*m - t + 292 + 37. Is 20\/m + (-12910)\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20112201111 - 1111?\nAnswer: 20112200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23167036 (base 8) in base 7?\nAnswer: -60565550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5166 and 9717?\nAnswer: 408114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r - 31. Let u(w) = 11060*w**2 - w. Calculate v(u(k)).\nAnswer: -66360*k**2 + 6*k - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3880900*z**4 - 22197960*z**3 - 28479636*z**2 + 9329904*z - 685584 = 0.\nAnswer: -3, 138\/985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1515872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 6*r**2 + 7*r + 5. Let j(c) = -c - 6. Let y be j(-8). Let f(u) = -5*u. Let s be f(y). Let m be s\/2 - (1 + -1). What is q(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -16 - 156\/26?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 12*o - 16 - 23 = s, 5*s + 3 = -4*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83160 divided by 54.\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 + 8 - 3*d - d**5 wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3584, 4115, 4966, 6119, 7556, 9259, 11210?\nAnswer: 13391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 4*y - 2. Let b be u(-4). Let o = 1 - -4. Let q(v) = v - 7. Let n be q(o). Is n at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 88*g + 90*g = -2, -5*g - 5 = i. Solve 3*u - 5*c - 6 = -3*c, 4*u - 3*c - 7 = i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -651611 (base 11) to base 13.\nAnswer: -2a6127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 e, and 1 u when three letters picked without replacement from ezapeuv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(68) + -3*(1 + sqrt(68)))**2.\nAnswer: 24*sqrt(17) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w - 23*w - 19*w + 108*w + 7*w - 22*w - 28*w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 35*p**2 + 10*p. Let t(j) = 104*j**2 + 31*j - 1. Let z(w) = -8*o(w) + 3*t(w). Is z(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -26330?\nAnswer: -26327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-54) - (0 + 25\/(-9)). Solve -o*s = 4*j + 5, 1 = s - 0*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 0 - 0)*-1. Solve -x*q - 3 = -7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-4) + 2)*(-1 + 3). What is the closest to 0 in 5, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 3:06 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 + -127. Let a(w) be the second derivative of 3*w**c + 0*w**3 + 5\/12*w**4 - 2*w + 0. What is the derivative of a(q) wrt q?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -3*x + 3*w - 8*w, 5*x + 1159*w = 1163*w - 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3336678*x**3 + 272781*x**2 wrt x?\nAnswer: 20020068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2641? (a) 2 (b) 25\/4 (c) 1 (d) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 19. Suppose -54 = -2*r + 2*b - 0*b, -5*b = 25. Calculate the lowest common multiple of r and n\/14 + (-54)\/(-4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c + 1. Let m(h) = h**2 - 8*h + 13. Let i be m(6). Let y be i*-2*(-21)\/(-3). Let n(f) = -8*f**2 - 7*f + 7. Calculate y*p(u) + 2*n(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*d = 1, 5*d - 1120168 + 1120167 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + -19. Let s = -5 - b. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432264751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 327*l. Let x(y) = 3970*y. Calculate x(q(t)).\nAnswer: 1298190*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1686 + 1686 - 2*m**3 + 2*m**3 - 491*m**4)*(-8*m + 6*m + 7*m).\nAnswer: -2455*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-215)\/645*(1 + 0 + -64). Factor -4*u + u**2 - b*u**2 - 28*u + 19*u**2.\nAnswer: -u*(u + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(((i**(-1\/8)\/i)\/i)\/i))*i)\/i)**(1\/7)\/(i**28*i\/(i*i**(-8)*i)) assuming i is positive.\nAnswer: i**(-1985\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y**3 + 10282*y**2 + 1705*y + 7724. Give j(857).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11800 and 140420?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + x - 8*x**3)*(-303*x - 7 + 222*x + 7) in the form i*x**3 + q + s*x + h*x**2 + w*x**4 and give w.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2 = 2*m, 5*b + 7 = -4*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-385)\/(-21))\/((-3)\/(-9)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k. Let b(l) = 21558862*l. What is b(n(v))?\nAnswer: -64676586*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 94346.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4651 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -3. Let g(p) = -4*p**2 - 4*p. Let c(d) = 9*d**2 + 7*d + 1. Let h(u) = -3*c(u) - 7*g(u). Let j(x) be the first derivative of h(x). What is j(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164924657?\nAnswer: 197, 563, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 - 2*r + 12. Let d be y(6). Let j(u) = 2 - 5 - 3 + u + d*u. Determine j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 21*p**2 + 3*p + 47. What is the remainder when 427 is divided by j(-10)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/119)\/(1\/(306\/24))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (424\/(-477))\/((-24)\/(-126))*((-54)\/3)\/1\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*1*sqrt(425) + -1)*4.\nAnswer: -80*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:16 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 482058*w - 483549*w + 61131 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-135)\/12))\/(12\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95519, -95235, -94951, -94667?\nAnswer: -94383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 4}. Give prob of picking 1 t and 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12099999*f + 1. Let b = 0 - 1. Let s be u(b). What is s rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1639.245 - -1811.4419. Let p = i + 1.9431. Let f = 176 - p. Round f to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-1)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87806.2 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*3.4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93718 is divided by 455?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 27*i**2 - 27*i + 35. Let r be z(-28). Let a(j) = -2*j**3 - 2*j**2 + 2*j. Let u(n) = 6*n**3 + 6*n**2 - 7*n. Give r*a(s) + 2*u(s).\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 236449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*p - 36, 4*p = 5*j - 0*j + 72. Let b be (-1 - 0)\/(2*3\/(-24)). Suppose 6*z - 8*z = -b. What is the least common multiple of p and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (3 + (-96)\/28)*7. Suppose b*h = 19*h - 7*h. Suppose 2\/11*l**2 + h - 12\/11*l = 0. What is l?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419544.4 years in millennia?\nAnswer: 419.5444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 20. Suppose 0 = 4*a + a - m. Let j be 3 + -3 - 4\/(-10). Sort j, -2, a.\nAnswer: -2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 2:06 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41b88 (base 12) in base 5?\nAnswer: -10230420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*t + 5586. Suppose -7*k - 63 + t = 0. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-840)\/42*(-1488)\/(-620).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 2788 = 3020. Calculate the smallest common multiple of t and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13101307 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*p**2 - p + 0 - 1\/2*p**3.\nAnswer: -p*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 150*p - 51. What is the units digit of h(63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 16*d = 5*j + 320, -2*j - 131 = 14*d - 9*d for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**2*u*v - 2361*f**2*u - f**2*v - 4*f**2 + f*u*v + f*u + 31753*f*v wrt f?\nAnswer: -16*u*v - 4722*u - 2*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 36 = -3*h. Let n = 11 + h. Solve 5*d + 12 = n*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316650082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/(-80) + (-38)\/(-80). Let y = -2 + 1.5. Let d = -0.1 - y. Which is the smallest value? (a) d (b) g (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1511.2 + 762.2. Which is greater: -4\/3 or w?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.2722t in nanograms?\nAnswer: 144272200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/3)\/(9\/(-9720)*-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-6))\/(18\/12). Let i be 105\/95 - (x + 0). What is the biggest value in -5, i, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1, -13, -3, -257, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w - 2 - 320*w**2 - 432*w**2 - 182*w.\nAnswer: -752*w**2 - 144*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 - 400 + 131 + 20*q**3 + 138.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3310132002 (base 4) to base 5\nAnswer: -224020341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) 3 (c) 6 (d) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44792 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-1))\/(-3) - -1. Let q(c) be the third derivative of c**5\/60 - c**4\/12 - c**3\/2 - c**2. Let y be q(p). Solve -o + 4*o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*c - 18 = 0, 3*c + 9 = -5*u + c. Let a be 13\/u - (-2)\/6. Is a\/18 + 1642\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22895, -22890, -22871, -22832, -22767?\n\"Answer: l**3 + l**2 - 5*l - 22892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - 24?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/9)\/m**(-1\/2)*(m*m\/(m**(-7)\/m*m*m))\/(m\/((m*((m*((m\/(m\/(m*m*(m\/((m\/m**(18\/5))\/m))\/m*m)))\/m)\/m)\/m)\/m)\/m)*m) assuming m is positive.\nAnswer: m**(919\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177279 is divided by 1019?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165700 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v. Let d be r(-2). Let b be (-18)\/d + 5\/20. Let l be (-3 - 0)\/(-3 - b). Solve 0 = 2*n - m + l, n + 6 = -3*m + 2*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16787.\nAnswer: 16787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 533195 and 23660.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 5*v - 55, 21*v + 5*i - 33 - 10 = 16*v + 7*i for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1123?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*p - 31 + 38, 0 = -2*p - 6. Let z be (22 - 19)\/((-6)\/o). Let n(h) = 2*h**3 + h**2 - 4*h - 1. Calculate n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*t - 3. Let u = -5\/2 - t. Factor a - u - 1\/2*a**2.\nAnswer: -(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) + 1287\/(-52). Let l = -27 - o. Let f(s) = 4*s**2 - 3*s + 4. Let k(r) = r**2 - r + 1. Give l*k(q) + f(q).\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 1 = -s, 4*p - s = 8*p. Let y = -0.9 - -1. Let a = -52306 - -52318. What is the third smallest value in a, p, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5 + 4 + 47*c + 2 to the form f*c + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 252 and 261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -0.4, -1\/820, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316607\/12 - -26362. Let y = -3079\/132 - r. Calculate the common denominator of -23\/10 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 9794976*i**2\/5 + 11992694355072*i\/5.\nAnswer: 2*i*(i - 2448744)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 0 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643.3668l to millilitres.\nAnswer: 643366.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*i**2 + 215*i - 80*i**2 + 255*i**2 - 81*i**2 + 2*i**3 as t + w*i**2 + s*i**3 + k*i and give k.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from qollqqqqqkqqqqlqqlo.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 2*j**2 - 6*j + 8. Let p be q(6). Suppose p = 3*v + v. Calculate the greatest common factor of 232 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 20*l - 9*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:25 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 7*s - 3*s)*(-4 + s + 4) - s + s + 7*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 96 = 6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 20*h + 12. What are the prime factors of n(15)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -253002, -506000, -758998?\n\"Answer: -252998*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -ea5 (base 16) to base 14\nAnswer: -151b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 2. Let z be v(2). Suppose -5*k - s + 4 = -155, z*k + 5*s = 82. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.835 - -2.165. What is the fourth smallest value in 2\/11, 1\/6, q, 0.05?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (118 - 118 + 19*z + 0*z + 2*z - z + (3 - 3 + 1)*(2*z + 2*z - 2*z) - 2*z + 2*z + z)*(0 + 4 + 1) as y + t*z and give t.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 11*j - 19. Suppose 4*y - 61 = -5*c, c - 2*c - 4*y + 25 = 0. Let v be n(c). Let u be 3 + 1 - (-4 - -8). Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 20*a + 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -478337 or 2\/93?\nAnswer: -478337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 8\/3, -1\/5, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = -l + 9, -1 = l - 3*d. Suppose -4*a = l*t, 5*t - 2 = -3*a + 12. What is the units digit of 32\/(-3)*(-6)\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 7 (c) 11\/8 (d) -0.025 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 3*k + 2. Let m be g(3). Let w be -1*(-6)\/8*m. Let f = -0.0676 + -0.1324. What is the nearest to 1 in w, f, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 3, 23, -12 in descending order.\nAnswer: 23, 3, 2, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -33, -59, -83?\n\"Answer: j**2 - 31*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 99 = -q - 5*o, -2*o = 2*q - 194. Solve 98*z + 35 = q*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -23*c**5\/5 + 15*c**2\/2 + 1426*c - 1255. What is the first derivative of f(h) wrt h?\nAnswer: -92*h**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322\/(-207)*(-42)\/490.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*l + 95, -p + 25 = -25*l + 21*l. Let j = 21 + -12. Let t(c) = -9 - 7*c + p*c - j*c. What is t(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2605*k + 409 = 2680*k - 266 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((3 + sqrt(11) + 1 + -2 - (1 + sqrt(176))*-3)*3)**2)*-4.\nAnswer: -67832 - 4680*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 6*p + p)*(18*p - 25*p - 29*p - 13*p**2) as k*p**2 + l*p**3 + y + c*p and give k.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 + 75016216*d + 75016212 = 0. Calculate d.\nAnswer: -18754053, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 57, 82?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17820628 to the power of 1\/2, to the nearest integer?\nAnswer: 4221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 111565549, 223131100, 334696651, 446262202, 557827753, 669393304?\n\"Answer: 111565551*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(63) + sqrt(7) + (sqrt(252) + sqrt(252)*2 + sqrt(252))**2 + sqrt(252) - (-3*((sqrt(7) - (4 + sqrt(7))) + sqrt(7)) + 0)**2)*3.\nAnswer: 246*sqrt(7) + 11475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 12) + (12 - 3) - (0 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3 = c, 5*u + 4*c = 15 - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212122 - -122?\nAnswer: 220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -59*p - 1. Let z be r(-4). Suppose -x + z = -2*j, -70 = -2*x + j + 406. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (35 - 8) - -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:20 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 1. Let k be (d\/(-2))\/((-2)\/6). Let z be 3\/(6\/158) + 2. What is the greatest common divisor of k and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, 10\/15649, -1, -3 in ascending order.\nAnswer: -3, -1, -0.2, 10\/15649, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 38.25. Let h = a + 1.25. Let l = -0.3 - -0.2. What is the third biggest value in l, h, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 5:17 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843 is divided by 489?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k)**(-24)*k**(-1\/2)\/k**(-4) assuming k is positive.\nAnswer: k**(103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 753869 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 74 = 17*x. Let c(u) = 3*u**2 + 3*u + 1. Let a be c(-3). Suppose 5*g - 25 = 0, -5*g + a + 51 = 5*k. Calculate the least common multiple of k and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 11.4. Suppose -6*i + 2*i = -8. Let n = -22.9 + 21.9. What is the nearest to n in w, i, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621226587.\nAnswer: 7, 4261, 87881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -136?\nAnswer: 136.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.68, -2\/3329, 0.08, -5, -4\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 479286920 and 2840?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a + 8. Let i(q) = 8*q + 12. Let y(p) = -5*i(p) + 7*x(p). Let f = -6 - -2. Let c(d) = -9*d - 7. Let t = -17 - -24. Give f*c(n) + t*y(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in -2, -5, -3, 0.5, 10\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*sqrt(228)*-2)\/((4*-3*sqrt(72))\/sqrt(6)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:01 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -13, 0.5, 0.6, 4427?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25293377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfvkwnvwxxnnwxfnxfwx. What is prob of picking 2 w, 1 v, and 1 n?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-5) - -6 - 828\/(306\/17)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - l = 13, -2*q + 0*l - 1 = -3*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/(-42))\/((-3)\/(-3))*59565\/27797.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-265)\/(-424)*216\/(12 + -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - 3) + (-43 - -7 - -31)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-18) + 340\/(-45))\/((-34)\/9).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 - 14*l - 31. Calculate y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*g - 19 = 6, -4*g - 12 = 0. Let s(n) be the first derivative of -n**3\/3 - 7*n**2\/2 - 3*n + 4. Let q be s(h). Solve 3*o + 8 + q = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 20*c**3 - 39*c**3 - c + 16*c**3 + c. Give q(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21234743 (base 8) to base 14.\nAnswer: 8614d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5181412884\nAnswer: -5181412890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22166687 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235578 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/25)\/((-240)\/450)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -242, -230, -196, -128, -14?\n\"Answer: 2*q**3 - q**2 + q - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 25305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -41662 (base 10) to base 16\nAnswer: -a2be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 127718 from 20.\nAnswer: -127698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-354 - 43*q + 6*q - 28*q + 340)*(-1 + 6 + 4).\nAnswer: -585*q - 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 - -358. Suppose 5*r - 109 - 47 = -4*q, -2*r - y = -4*q. Suppose 6*i - 5*i - 5 = 0. Solve -i*a + 14 = q, 4*p + 2*a = -26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -3.5. Let n be 14062\/(-126) - 12\/42. Let k = n + 112. What is the second biggest value in x, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2832\/(-1180))\/(261\/(-15)).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-3) - (15 - -2). Let k = -18 - s. Suppose 2*p - 3*u = -k*u + 1, -7 = -4*p + u. Let t(m) = -m**2 + 4*m + 1. Calculate t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + (sqrt(1584) + sqrt(1584) + 3*(sqrt(1584) - -6*sqrt(1584)) - (sqrt(1584) + (-5 + sqrt(1584))*1)))*-6*-2)**2.\nAnswer: 417312*sqrt(11) + 100595097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.018 - -26.018. Let b = u + -26.0000128. What is b rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-44 + 12 - 10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -18*f - 4. Let k(d) = -2*d + 1. Suppose 4*s + 2*q + 8 + 12 = 0, -3*s - 5 = -q. Let a(o) = s*k(o) - c(o). Determine a(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 347 and 73217?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/14)\/((-45)\/72)*1. Let w = 8 + -3. Suppose 23 = -w*u + 8. Put 4, y, u in decreasing order.\nAnswer: 4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**4\/6 - 5*d**3\/6 - 3*d**2\/2 - d + 1. Let k(p) be the first derivative of m(p). Is 8 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325125?\nAnswer: 5, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(1\/7)\/f)\/f))\/(f*f**(-3\/5)))**(-4\/21) assuming f is positive.\nAnswer: f**(-344\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 28 + 32 = 0. What is the remainder when (50\/15)\/((-4)\/j) is divided by ((-28)\/6)\/(-4 + 60\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/95 (b) 4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 15. Suppose 0*y - s*y + 105 = 0. 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: What is the remainder when 597 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2157 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 17*k - 22*k - 11, -6*h - 5*k = -7. Sort 5, h, -715 in ascending order.\nAnswer: -715, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -931 + 1689. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 314 - 467 + 206. What is the greatest common divisor of 525 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 3\/3 - (-2 - -1). Suppose h + 1850 = 4*h - 2*f, -5*h - f + 3079 = 0. Suppose h = 3*p + d*p. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from mdrodomcl?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 4322.\nAnswer: 12966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12) - 69\/(-198).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(4235)*-4 + sqrt(4235)))\/(sqrt(847) + (sqrt(847) - sqrt(847)*-3)*1).\nAnswer: -12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-5) - -3 - (-48)\/10. Suppose -m*y = -2*y. Solve y = -4*f + 11 - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-12))\/1*4. Let a = 11 - k. Let o(w) = w**2 + w - 1. What is the remainder when o(3) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2425 - -2432.355. Let y = w + -0.105. Round y to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 9*v + 25 = 4*v, 0 = n - 2*v - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0 = -3*z - 5, -3*z - 13 = -4*a. Let g be (-6 - 204)*(0 + z). Round g to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/30 and 52\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125214 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 119 + -1 - (-9 + -7 - (28 + -54))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a + a)*(-1 + 0 - 2)*(6*a + 3*a + a) + (4*a + 3*a - 6*a)*(0 + a + 0).\nAnswer: 31*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 250, 491, 732, 973?\n\"Answer: 241*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose 3*v - 9*p = -5*p - 17, -v = 5*p - 7. Let s be 1\/(-22)*14\/7. What is the third biggest value in v, x, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/3 (b) -0.66 (c) -5\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g. Let n = -19 + 20. What is a(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1270.6 + -1271.6. What is the third biggest value in -311, 1\/3, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -3. Let 35*g**2 + 38*g**3 + 2*g**4 + 22*g**3 - d*g**4 - 17*g - 10*g**5 - 13*g = 0. What is g?\nAnswer: -3, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*c - 71*c + 5. Suppose 5*d + 11 = -109. Let m = -18 - d. Solve -14 + m = -2*u, o + c*u = 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3\/6 - 35625*x**2 + 2*x\/3 + 142500 = 0.\nAnswer: -213750, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/78*8\/(-2). Let p = -5 - -4. Which is the nearest to w? (a) -0.8 (b) -3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = 3*l, 1 = 5*x - l - 3. What is the third derivative of 0*f**2 - 2*f**3 + x*f**3 + 3*f**2 + 0*f**2 wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 22\/7*o**2 + 2\/7*o**5 + 12\/7*o - 16\/7 - 6\/7*o**4 - 2*o**3 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(24)\/(-1*sqrt(12)))**2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -721 (b) 4\/9 (c) 265 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/6*(-15)\/(-10). Suppose -l*c + c = 0. Solve c = 2*f - 7 - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 17*l - 15. Let o be t(16). Suppose 15 = 2*m + 3*m, 4*z = -3*m + 21. Solve z*y - o = -7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 92, -5 in ascending order.\nAnswer: -5, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -955 - -814. Which is the second smallest value? (a) 0 (b) y (c) -0.3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 6*k**2 + 6*k**2)*(-3 + 3*k - 4*k - 1).\nAnswer: -6*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 23*v**2 - 48*v - 54. Give k(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 180741000 to the nearest one million.\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 2:46 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1 - 1 - 7*f**2 + 9*f**2. Suppose 0 = -22*n + 25*n - 6. Let a(v) = 40*v**2 - 113*v**n + 34*v**2. Give a(l(r)).\nAnswer: -156*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/30 - j**4\/12 - 2*j**3\/3 - 3*j**2\/2 - 2*j. Let c(v) be the first derivative of x(v). Determine k so that c(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -188. Is 27 + -24 + a + 5091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f - 3*f)*(-9*f - 2*f + 4*f)*(2905 - 2905 + 31*f).\nAnswer: 217*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i - 33. What is p(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3983952606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -3*z + 675. Suppose 365 = -0*b + 5*b + 5*k, -4*b + z = -2*k. Calculate the highest common divisor of 50 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 940\/(-1880)*(-1)\/2*-264\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3856088.\nAnswer: 2, 19, 23, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11712 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (4\/(-7))\/(-2). Let k = -0.036 - 0.064. What is the nearest to b in k, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*sqrt(24)\/(sqrt(2) - (sqrt(2) - (sqrt(32) - sqrt(2)))) + -4.\nAnswer: -10*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 15. Let p(d) = d - 1. Let g(z) = -6*p(z) - 2*y(z). Let n be g(14). Suppose 2*j = 3*m - 7, 2*j = -4*m - 2*j - n. Which is bigger: 1\/21 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19251 is divided by 88?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/7)\/(3082\/(-1610) + 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j + 3. Let p be (-4)\/10 + 27\/5. Let w be c(p). Let l = 66 - w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20))\/(-2*(-4)\/(-48))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*l + 25, -4*v + 8 = -l - 3. Let g be ((v - 0) + -4)*4. Let q = g - -22. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 - 1) - (-320 - -335).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7898090551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3519.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203770 divided by -40754.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852 = 50*d + 2652 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6248 and 329440?\nAnswer: 3623840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 1. Let q be 2\/16 - 39*76\/(-96). Let o(b) = 15*b**3 + 2*b**2 - 2*b + 6 + 8*b + 20*b**3 - q*b**3. Determine -6*f(c) + o(c).\nAnswer: 4*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -107, -396, -877, -1550, -2415, -3472?\n\"Answer: -96*p**2 - p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/408897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3155, -3166, -3185, -3212, -3247, -3290?\nAnswer: -3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - 6*b**2 - 6*b. What are the prime factors of s(-6)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335449 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2217098, 2217104, 2217114, 2217128?\n\"Answer: 2*z**2 + 2217096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -35. Let a(f) = -2*f + 36 + f**2 - 11*f + 0*f**2 - r*f**2. What are the prime factors of a(-11)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -307? (a) 0.04 (b) -5 (c) 2 (d) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-18 - -12) + (4061 - -1). Suppose -x = -2*w - 4*d, 2*w - 4081 = -21*d + 22*d. List the prime factors of w.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 591 + 591 - 130*m)*(0*m + 4*m - 2*m).\nAnswer: -2*m**4 - 260*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5785 = 2*z - 5*c, 0 = c - 5. Let b = z + -2401\/2. Find the common denominator of -73\/32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 14. Let m be c(-8). Suppose 0 = 3*k - k - m. Suppose -k + 2*b**2 - 1 + 2 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 + 2*a - 7. Let d be t(5). Let j be (0 + 2)\/(d\/6). Let p = 17 - 82\/5. Which is smaller: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 420 - 355. What is the hundreds digit of 26\/i - ((-1243)\/5 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 683225619 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 33, 73, 139, 237, 373?\n\"Answer: h**3 + 4*h**2 + h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -3\/4, -18, 400, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*s - 7143 - 2202 = -101*s for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 3:39 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -1\/2*i**4 + 4\/15*i**5 + 126 + 1\/9*i**6 - 16\/9*i**3 - 4\/3*i**2 + 0*i. Determine v, given that u(v) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -81, -77, -73?\n\"Answer: 4*w - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (-3*sqrt(65)*6)\/(sqrt(5) + -6*sqrt(15)\/sqrt(3)) + 3)**2*4.\nAnswer: -40896\/25 - 1728*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/15 + 12\/(-30). What is the common denominator of -38 and ((2 + -3)*y)\/(14\/(-19))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*p = 4, -6*p + p - 10 = g. Is 23 + (1 - -1 - g) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 157 - 195 - 481*u**2 - 391 - 305 wrt u.\nAnswer: -962*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 26*h - 23*h - 672, -5*q + 4*h = -714. Calculate the smallest common multiple of 30 and q.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.4 + -3.4. Let y = 0.00000069 - x. What is y rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -59, -258, 6 in descending order.\nAnswer: 6, 5, 2, -59, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 316271168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0.56, 0.529, -0.4, -1\/7, 4, 5?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 10933927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*p - 14002 + 1885 = 1515 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10800 and 14850.\nAnswer: 118800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + z + 6 = 0, -152*g + 2*z = -151*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -15. Let k(x) = x**2 + 3*x + 2. List the prime factors of k(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*270\/45?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -39*y - 2 + 91*y - 48*y. What are the prime factors of u(11)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89053.72 nanograms to tonnes.\nAnswer: 0.00000000008905372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5475330353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 899 - 920. What is the nearest to 1 in o, 2\/27, -4\/7?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - p - 33 = -0*l, -4*p - 20 = -2*l. Let g be 6\/l*44\/11. Let o = 5 - g. Put o, 1, 3 in decreasing order.\nAnswer: 3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/330 - 5*s**4\/132 - 2*s**3\/11 + 410*s**2. Factor u(w).\nAnswer: 2*(w - 6)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. What is the biggest value in -5, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/13 (c) 2.03038 (d) -374 (e) -2\/7 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a - 1 = -16*a. Solve -2*i + 14 = -5*r, -r - a = 2*i - 3*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**2 + 2*s - 3. Suppose -11 = -6*v - 5*v. What is g(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**3\/3 + 7*u**2\/2 + 10*u + 3. Let l be w(8). Solve -s + 7 = -4*p, 7*p + 25 = 2*p - l*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/425)\/((-3)\/5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 5 - b - b**3 + 7*b**2 + 2*b - 5*b. Let j be d(6). Find the third derivative of 0*z**5 - 3*z**2 - 2*z**j + z**5 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 14*s + 7. Give o(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -241*o + 116*o + 135*o. Suppose q = -4*q + 10. Let c(j) = 7*j**q + 4*j**2 - 9*j**2. What is c(a(m))?\nAnswer: 200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -485 (base 9) to base 12.\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - ((-800)\/2)\/(4\/(-230)). What is a rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 10*w + 17. Determine g(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -52 + (10 + -30 - -36) - 2\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19749, -19333, -18917?\nAnswer: -18501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 - 301 - 220 = 113*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-14))\/1 + -1. Let q = 5 + -8. Let o = 131.7 + -143.7. What is the closest to j in o, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -102 and -5822474?\nAnswer: 5822372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84016?\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23742137 and 140582?\nAnswer: 5407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(637) + 1 + sqrt(104)\/(sqrt(8) - (sqrt(8) - sqrt(32)\/sqrt(4))) + (sqrt(208) - -2*sqrt(208) - sqrt(91)\/(sqrt(7)*1)))*-5)*2)**2.\nAnswer: 6080*sqrt(13) + 469556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 = -4*y + 18, j = 2*y - 6. Suppose 2*c + 1267 = 5*g, 4 + j = -4*c. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60115274 rounded to the nearest 1000000?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -79*a**3 - a**2 - 3*a - 1. Let h be k(-1). What is the greatest common divisor of 60 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.03764cm to millimeters.\nAnswer: 740.3764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 + 72. Let n be (-2)\/(-14) - 60\/(-21). Which is the fourth smallest value? (a) -1 (b) h (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/610 and 127\/8360?\nAnswer: 509960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1392 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*r**3 - 953*r**3 + 1453*r**3 - 146*r**3.\nAnswer: 266*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 31816103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 215208231?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 32721 = -3*h, h + 2*o = 3*h - 21812. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -3*d**4\/4 + 20*d**3\/3 + 3*d**2 + 9*d + 1762. Give n(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 28 + 10 = 0. Let j = x + -75\/2. Which is the biggest value? (a) j (b) 2\/9 (c) -1 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2465, -2623, -2881, -3233, -3673?\n\"Answer: n**3 - 56*n**2 + 3*n - 2413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 326060 divided by 959?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 6*m + 7. What is the least common multiple of 4 and z(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 61 + 29 + 28*c**2 to b + m*c + s*c**2 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(-96)\/64?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3302)\/(-105))\/(504\/(-54)). Let k = -3\/98 + w. Find the common denominator of k and 115\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus -0.139?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 + 9*b + 19. Let m be k(-7). Suppose 3*x - 2*s - 132 = s, -m*x = -4*s - 215. Calculate the highest common divisor of 26 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5)*i*i**(-2))\/(i**11*i**(-1\/11)) assuming i is positive.\nAnswer: i**(-175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2770*r**2 - 2771*r**2 + 90722324 - 90722324.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -10883515.\nAnswer: -10883518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*sqrt(50) + 5 - ((sqrt(2) - (sqrt(72) + -4)) + -3)).\nAnswer: 9 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3068*k**2 + 1455*k**2 + 192*k**2 + 5*k**3 + 1421*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 23, 94, 235, 470?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 576?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132)*3)\/sqrt(12) - (2*sqrt(176) - sqrt(11)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 20*n**3 - 3*n. What is the units digit of k(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*h + 627750 = 87*h - 6*h. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 5, -4, 4, 1, -34, 2 in increasing order.\nAnswer: -78, -34, -4, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17878878.\nAnswer: 2, 3, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 7. Let o(a) = 3*a - 1735 + 5216 - 1743 - 1740. What is o(n)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 1. Let s be c(-2). Let d = -0.18 - -0.07. Let l = d - -0.01. What is the nearest to l in -0.4, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249709861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 45233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4. Let o be 5\/j*9\/3. Calculate the lowest common multiple of 22 and (-25)\/o*(-6)\/(-3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -z + 23. Suppose -z*y = -5*y - 189. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/70 and -23\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 0*q + 40 = 4*q, 1195 - 1162 = -3*t + 2*q for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 7*g + 8. Let s be f(-7). Suppose 0 = 2*n - 8 - s. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*n + 12. Suppose -2*r + 4*l + 24 = 0, -n = -3*r + l + 9. Solve 0*p = 2*p + r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2092 by -4.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*((sqrt(65)*4 + sqrt(65))\/sqrt(5))**2.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**14\/b**(3\/16)*(b*b\/b**(-1\/8))**(-1\/69) assuming b is positive.\nAnswer: b**(15215\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 345095190 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 795.6831 weeks in minutes?\nAnswer: 8020485.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 523.329 weeks?\nAnswer: 316509379200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7408 + 7407.6. Which is the second smallest value? (a) 22\/5 (b) p (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 528177 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-35)\/98*(-3 - 92\/(-20))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + (4 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 4*l**7\/21 - 13*l**3\/3 - 14*l**2. What is the derivative of f(a) wrt a?\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -26*j + 14. Let c(k) = 51*k - 29. Let r(f) = 6*c(f) + 11*p(f). Let b(v) = -7*v + 7. Let w = -46 - -29. Calculate w*b(d) - 6*r(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741624.\nAnswer: 2, 3, 13, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 12}. Give prob of sequence aia.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 23 = 5*k, k = 5*f + 6 + 3. Let x(g) be the second derivative of -245*g**3\/6 + 7*g**2\/2 + 3*g. Does 18 divide x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 26*a**2 - 62*a - 24. Suppose -5*z = -5*m + 120, 2*z + 48 = -13*m + 8*m. Does 52 divide f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4\/5 - 20752*x**3\/3 - 69182*x**2\/15 + 20752*x\/3 + 69176\/15 = 0.\nAnswer: -1, -2\/3, 1, 17294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.72 - 0.28. Let f = -12.999908 - a. What is f rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103788 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181845\/4 - 1991991\/44. Which is smaller: 190 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -82*v + 102*v. Solve 5*l - 13 = -3*a, -6*l + 2*a + v = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 127811, 1022450, 3450771, 8179616, 15975827, 27606246, 43837715?\n\"Answer: 127807*g**3 - g**2 - 7*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 4*z**2 + 2*z + 3. Let w(f) = -3*f**3 - 2*f**2 - 4*f - 1. Let u be w(-1). Determine b(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(7 + 2 + -3). Suppose -5*y = -c + 25, -y + 3*c + 25 = -r*y. Let d(x) = -x**3 - 2*x**2 + 10*x - 20. Let w be d(-5). Put w, -1, y in ascending order.\nAnswer: y, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**2 - 4*i - 4*i**3 + 3*i**3 + i. Calculate the remainder when m(-7) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3466*i = -3435*i + 6963*i - 2046 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/18*1\/(28\/(-6)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 13 + 31. Let b = 8 + -11. Let o = 25 + b. Calculate the lowest common multiple of y and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 130 + 119. Which is smaller: 84 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53096 is divided by 13168.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = b - 1. Suppose b*o - 10 - 544 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 466646 + 77?\nAnswer: 466745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 14. Let s(n) = 3*n - 13. Let d(p) = 7*s(p) + 6*v(p). Let j be d(2). Suppose 44 = 4*l - 0. What is the highest common divisor of j and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7247*l + 6626*l = 38502 for l.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7122091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 256*a**3*w**3 - 247*a**3 - w**3 wrt w?\nAnswer: 768*a**3*w**2 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 11*d**2 + d - 4. Let o(x) = 3*x + 38. Suppose -4*f - 194 + 158 = 0. Let b be o(f). Determine v(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1999, 2008, 2017?\n\"Answer: 9*s + 1990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 3*h + 14. Solve -h*t - 3 + 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-157047)\/(-9) - (19\/76 + 7\/(-12)) and 8?\nAnswer: 69800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3165052 or -3165051?\nAnswer: -3165051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-2.110434.\nAnswer: 10.55217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6045468?\nAnswer: 2, 3, 11, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imiuiuiujilulm. Give prob of sequence mj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25830 - 14570. Calculate the least common multiple of 20 and n.\nAnswer: 11260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*1*sqrt(143))\/(6*(sqrt(11) + sqrt(176))))**2.\nAnswer: 52\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -215 * -548106\nAnswer: 117842790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3708 and 9\/31724?\nAnswer: 285516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 10*x - 21 = 0. Suppose -k + 7 = x. Let f be ((-99)\/(-21) - 3) + (-4)\/k. Is -2 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 3:28 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 4*n + 4. Let f(s) = -8*s**2 + s - 2. Let p be f(1). Let r(a) = -3*a**2 + 9*a + 9. Calculate p*g(z) + 4*r(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 9. Let g = h - -7.2. Sort 4, 2, g in increasing order.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1705 and 14740?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 - 740*v**2 - 3800*v = 0. Calculate v.\nAnswer: -5, 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436519.\nAnswer: 113, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/30)\/((-7)\/126)*(-84000)\/7200\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.347 and -3.9.\nAnswer: -1.3533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.8 - -9. Let w = q - 1.145. What is w rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*h**3*j**4 - 1877*h**3*j**2*o**2 - 2*h**3*j**2 - h*j**2*o**2 - 15*j**4*o + 7*j**3*o**2 wrt j.\nAnswer: 504*h**3*j - 360*j*o + 42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 1094648418*b - 99854596585825227.\nAnswer: -3*(b - 182441403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**5\/3 - 188*m**4\/3 - 528*m**3 - 5432*m**2\/3 - 5096*m\/3 + 1372 = 0. What is m?\nAnswer: -7, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (505 - 1)*((-2)\/5 - 14\/(-10)). What is the highest common divisor of 216 and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -19214.\nAnswer: -1\/19214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**8\/10080 - b**5\/60 - b**2. Let c(h) be the third derivative of x(h). Let d(a) = -48*a + 95*a - 45*a. Give d(c(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210 (base 3) to base 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196784010 by -4182.\nAnswer: -47055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, 5, 0.4 in ascending order.\nAnswer: -0.1, 0.3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1510.1 - 1510. What is the second smallest value in -5, -38\/9, v?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2 - 1282450*f + 3847395 = 0. What is f?\nAnswer: -256493, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -22434 equal to -2916549\/130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1018, 2039, 3068, 4105, 5150, 6203, 7264?\n\"Answer: 4*y**2 + 1009*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let q = -483 + 477. What is the nearest to 0.1 in q, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -0.215, -42\/25 in ascending order.\nAnswer: -6, -42\/25, -0.215, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 23 + -13 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337 - 116. Which is smaller: p or 222?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 10:39 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -155 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*-9*(-10)\/75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 6:35 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/24, 4, 0, -29.46, 2\/13, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*o - 30, 0 = -0*k + 4*k - o - 57. Suppose k*u + 1076000 = 12*u. Round u to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46608757543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*w = 47 + 9, 5*g + w - 88 = 0. Suppose 0 = 4*j - g - 31. Solve 8 = 2*x, -4*s = 5*x - 0*x - j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**4\/12 - 6*b**2. Let q = -1 - 4. Let j(r) = 3*r. Give q*j(p) + 7*s(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7114129*v + 9520 = 7114269*v for v.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -308 - -312. Let j = -4 - -7. Which is the second smallest value? (a) j (b) 6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 9*a - 452. Let j be k(-13). Factor 32\/3*h + 38\/3*h**j + 2\/3*h**5 + 50\/3*h**2 + 8\/3 + 14\/3*h**4.\nAnswer: 2*(h + 1)**3*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {s: 1, o: 1, b: 1, r: 4, t: 3, q: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-8))\/(-17)*(-2)\/12\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, -19, -42, -65, -88, -111?\n\"Answer: -23*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187207359 - -7.\nAnswer: -187207352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (12 - -12) - (17 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyy when three letters picked without replacement from {y: 2, n: 1, f: 3, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299038 is divided by 360?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2916241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*k - 0*k - 16669, 2*t - 16668 = -2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-3 + 2)*-1). What is the common denominator of -51\/8 and (27\/12)\/((-58)\/34 - j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*c - 3. Let k = 9 - 8.5. Let u = k - 2.5. Put c, 3, u in descending order.\nAnswer: c, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ef2 (base 16) in base 12?\nAnswer: 16982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181985 - 119985. What is h rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2334734 = -547753. Let b = d + 6030829. What is b rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 421.\nAnswer: -5\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 9*s - 7*s + 6, 4*s = -12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - k - 1703 = -1770, -2*k = 3*v + 35 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/54*3\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 2653, 2\/11, -1\/8 in increasing order.\nAnswer: -1\/8, 2\/11, 4\/7, 2653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-4))\/((-3)\/6)*-1. Let q(m) = -m + 6. What is q(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1945, -2280, -2583, -2854?\n\"Answer: 16*x**2 - 383*x - 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 43, 67?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, 3, 1, -4924, 187 in descending order.\nAnswer: 187, 14, 4, 3, 1, -4924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 5*c + 10*c - 35*c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 83?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:24 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -931\/5?\nAnswer: -931\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2138, 0, -7?\nAnswer: 2138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3 + 10 - 15*k + 7 + 12*k**2 - 5. Let a(p) = p**2 - p + 1. Determine 15*a(y) - x(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 87160314 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let c(l) be the first derivative of 11*l**3\/3 - 566. Calculate c(v(p)).\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 1660?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 269440495.\nAnswer: -2\/269440495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*i + 17, 2*i = -109 + 115. Let c(y) = y**3 + 9*y**2 + 3. Let m be c(-9). Suppose 0*g = -m*g. Solve g = -2*k + 4*k + b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1252 - 61?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 + 3*i**2 - i**2 + (-3 + 3 + i**2)*(2 - 2 - 4) + (-32*i + 20 - 20)*(2*i - i - 2 + 11) to the form a*i + s + t*i**2 and give a.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -236, -226, -214, -200?\n\"Answer: t**2 + 7*t - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13096 + -13093. Solve c*b - 10 = -5*y + 2*b, -4*y + 5*b = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50277 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2193 divided by 41\nAnswer: 2193\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -3*p + 395. Suppose -3*s = 2*s - p. Calculate the common denominator of s and -1 + 2 - (-82)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11237, -11230, -11223, -11216?\n\"Answer: 7*u - 11244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -19 - -30 - (44 + -14)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.68 - 4. Let b = 2.32 + t. Let c be -2*(0 - (-3)\/(-16)). Sort c, b, -11.\nAnswer: -11, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 31 = q - 4, -5*i + 2*q + 29 = 0. Suppose i*b = 55 + 180. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14221482 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -1.0968894.\nAnswer: 0.98720046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.704 + -0.704. Put x, -0.19, -3\/5, 1\/4 in decreasing order.\nAnswer: 1\/4, x, -0.19, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 167*m**2 + 70*m + 1970. Is j(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20132 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -174*m**7\/7 - 3*m**3 + 5*m + 244. Find the third derivative of s(a) wrt a.\nAnswer: -20880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5 - 7*v - 2*v - v**2 + 4*v - 3*v. Let x be t(-4). Let g = 36 - x. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.0672 - -2.6672. Sort -0.5, -30\/119, s in increasing order.\nAnswer: -0.5, s, -30\/119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, -32, -172, -440, -878, -1528, -2432?\nAnswer: -3632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1579 - 97*h**2 - 1579 as p*h**2 + r*h + c and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64046667*h**2 - 64046667*h**2 - 10*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (176715*g**2 - 89510*g**2 - 78662*g**2)*(-4 + 4 - g) in the form k*g + i*g**3 + x*g**2 + m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/10)\/((-363)\/(-7260)). Let s = -34.5 + 2.5. What is the third smallest value in s, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -4*g + 66, -3*g + 231 = r + 192 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, 26, 5, 73.\nAnswer: 5, 26, 73, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23241559?\nAnswer: 11, 401, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 13384*g**2 - 93766*g + 133980.\nAnswer: 2*(g - 5)*(g - 2)*(g + 6699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.17 + 9.17. Which is the second biggest value? (a) -5 (b) -0.005 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 30356363526367.\nAnswer: 30356363526363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 51 + 1 = 0. Suppose 6*z + m*z = 25482. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(4\/(-14831))*2026. Let l = s - 27823281. Let b = 8199478 + l. Round b to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*j - 219 = 0, -2*s - 4*j + 98 = -0*s. Suppose 60 = 5*h + s. Suppose 0 = -3*y + l + 54, -h*l - 85 = -5*y + 5. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 34 = 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3888*z + 36325. Calculate i(9).\nAnswer: 1333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345262 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2031234 + 22123?\nAnswer: -2004111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifd when three letters picked without replacement from {e: 4, f: 2, i: 3, d: 2, h: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + 2*k**4 + k**4 + (-k**2 + 4*k**2 + k**2)*(-4*k**2 + 4*k**2 - 2*k**2).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21679*q**3 + 67*q**2 + 521 wrt q.\nAnswer: 130074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = 33. Let x = -5 + u. Solve 5*f + 9 = i - 5*i, 4*i + 2*f + x = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1750, 3261, 5208, 7807, 11274, 15825?\nAnswer: 21676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -10961 (c) 616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13*j**2 + 12*j - 13. Let d(c) = -7*c**2 + 6*c - 6. Let r(q) = 13*d(q) - 6*n(q). Find the second derivative of r(a) wrt a.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -2\/23, -1, -3\/20, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)*(7 + 8\/16*-14). Put -522, j, 2 in decreasing order.\nAnswer: 2, j, -522","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**2 + 5*n + 35. Let a be x(16). Suppose 0 = 4*h - 5*w - 1153, 5*h + 4*w = -517 + a. List the prime factors of h.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -2553260.\nAnswer: 2553248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/537 + 41297\/2148. Find the common denominator of (-18)\/(-19) + (-3 - -1) and s.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -2 (b) -1\/3 (c) 5 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4215742303 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Let t = 1016 - 1014. Suppose w + t = 0, x*z - w = z - 2. Does -5\/2 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/120)\/2)\/((-1)\/9)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1210.115 - 1215. Let s = -0.115 + v. Put s, -6\/5, 0.8 in increasing order.\nAnswer: s, -6\/5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -231*g*t*w**3 - 140*g*t*w**2 - g*w**2 + 2*t*w wrt w?\nAnswer: -1386*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5 - 7*k + 5 + k**2. Suppose 4419*a - 258 = 4376*a. Calculate x(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 0 + 4*f + 3*f**4 - 5*f**4 - 3 to h + m*f**4 + b*f**2 + y*f + a*f**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3153*u**2 + 2805*u**2 - 2343*u**2.\nAnswer: 3615*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 554\/3 - 186. What is the second biggest value in 1, -4, 4, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78.352 and -455.\nAnswer: 35650.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 8*m**2 - 7*m - 30. Does 10 divide u(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 7) in base 6?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122360 (base 9) to base 14\nAnswer: -1cd26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2, 4, 3 in descending order.\nAnswer: 4, 3, 2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 9. Suppose -4*w + 2*g - 1 = -7*w, -o*w = 3*g. Solve -4*k = 3*d + k + 7, 0 = 3*d + w*k + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -36113*d - 130. Suppose -23*u = -26*u - 30. Let v be l(u). What is v rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6241871 is divided by 520134.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564234040.\nAnswer: 2, 5, 599, 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/9 - -1)\/((-26670)\/(-2052) + -13). Solve -a*q = -122*q - 48 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-262 - -214) + (10 - -1) + (-13 + 13 - 0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115177997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 4*p**2 + 1. Suppose -11 - 4 = 5*a. Let u = -7 - a. Calculate c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*q. Let y(z) be the first derivative of -2*z + 0*z**2 + 1\/2*z**4 + q*z**3 - 1. Find the first derivative of y(v) wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 34 + 2 + -11 + -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*n - 76. Calculate the highest common divisor of n and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 26*n**2 + 1671*n - 45850. Calculate y(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44112 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = y - 27, -2*x + 5*y - 24 = 3. Sort x, 20, 10, -1, 1.\nAnswer: -1, 1, x, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(4*n - n - n) - 7 + 0*n + 2*n + 6.\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5 - 84*s**4 - 76*s**3 + 84*s**2 + 80*s = 0.\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -5\/6*b**3 - 1\/20*b**6 + 0*b**5 + 0*b - 7*b**2 + 0*b**4 + 0. Find the first derivative of r(j) wrt j.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, 1, -3.\nAnswer: -5, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttertrtrtetfete. Give prob of sequence tt.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 + 8*k**3 + 166*k**2\/5 - 928*k\/5 - 1152.\nAnswer: 2*(k - 5)*(k + 8)**2*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4420 + 4420 - 277500*s.\nAnswer: -277500*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 5*j + 6. Let w be (-54)\/8 - (-3)\/(-12). Let r = 6 + -3. Let o = r + w. What is l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*k + 83, -3*z + 57 = -0*z + 3*k. Suppose 6*q - z = 3*q. Solve -5*i = -q*x - 30, 2*i - 5*x - 28 = -7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejaejeejjeajej. Give prob of sequence eeee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 12*v - 6. Let s be b(8). Suppose s - 14 = 4*a. Suppose 28 = -a*o - 3*m + 322, -5*m = -20. What are the prime factors of o?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 - d**2 + 2*d - 2. Suppose -i + 4*u = -13, 0 = 5*i + 2*u + 2*u + 55. Let j(b) = 13*b**3 + 4*b**2 - 7*b + 7. What is i*n(o) - 2*j(o)?\nAnswer: 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/7, 51, -2\/5, 0.5?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6076 + 19355. Is 65 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 46*y - 12. Suppose -4*p = -80 + 152. Is a(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**4\/8 - 2*f**3\/3 + 30*f**2. Suppose 3*p = -10 - 2. Give m(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.225443769 rounded to four decimal places?\nAnswer: -0.2254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - h**2 - h + 6. Let z(p) = -3*p**3 - 5*p**2 - 3*p - 14. Let v(r) = 2*w(r) + z(r). Determine v(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let a(t) = 282742*t. Give o(a(n)).\nAnswer: -565484*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776024?\nAnswer: 2, 97003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51552 = 1446*i - 38100 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, 5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7569256, -7569248, -7569236, -7569220?\nAnswer: -7569200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - -239. Suppose 0 = 680*h - 688*h + g. What is the greatest common factor of h and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264*g**5 - 9*g**3*n - g + 2*n - 2596 wrt g.\nAnswer: -5280*g**3 - 54*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, a: 2}. What is prob of sequence mm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from steqk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -129278885?\nAnswer: -129278888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85512.0294 seconds to weeks.\nAnswer: 0.1413889375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/7)*h)**(-43)*h**(-2)*(h*h**4*h)\/h*h assuming h is positive.\nAnswer: h**(-531\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 5 + 152 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = 42 + 119. What is the highest common divisor of 56 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*18\/(-168))\/((-114)\/(-19))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 12*r + 12. Suppose 7 = 2*j - 1. Suppose -4*s + 9 = -3*b, -6*s + j*b + 10 = -s. Let u be g(s). What is the greatest common divisor of 28 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-9)\/(189\/(-1911)) + -9\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858 and 43481790?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4797 - 1b8c9?\nAnswer: -17132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97058977.\nAnswer: 113, 907, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560437 is divided by 9185.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 3*i + 162. Let y(o) = -3*o. Let q(h) = -2*h. Let j(u) = i*q(u) + 5*y(u). Determine j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 21. Let l be k(0). Let h be (-28)\/l - (-1716)\/9. Does 10 divide h\/5 + (-48)\/(-80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.5 - -71.5. Let h = 49.953 + 0.047. Let k = h - o. Which is the third smallest value? (a) -3\/4 (b) k (c) -2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etzznznetznnznetnnz. Give prob of sequence ntt.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*f + 12 = 0, -r + 32*f - 29*f = -18 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*c - 2*c - 19*c.\nAnswer: 321*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107990277*d**2 - 2079*d - 10297 wrt d?\nAnswer: 215980554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 116 - 896 = 0. Suppose 4*v - 8*v = 344. Let h = k - v. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*((sqrt(19) - sqrt(684)*1) + (sqrt(1216) + -1 - sqrt(19)))**2.\nAnswer: -308 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7686 is divided by 61.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3*v**2 + v**2 + 0 + (-2 + 4 - 1)*(4*v**2 - 2*v**2 - 4*v**2) to the form x*v**2 + t*v + d and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + o)*(-21 - 29 + 13) - 2*o - 3 + 3 + (5 - 5 - 3)*(-4 + 4 - o) as k + l*o and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 702857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 295 - 268 = 0. Suppose -4*u - 40 = -m*u. Suppose -17 - 183 = -u*z. Calculate the remainder when 73 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 106790758952\nAnswer: 106790758952.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 25*n + 8. Let a be h(12). Let s(c) = -16*c + 18. Give s(a).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262671, -262670, -262669, -262668, -262667, -262666?\nAnswer: -262665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 47*h - 20. Let i be f(-15). Solve 3*u = i - 4, u + 6 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -698*t**5 - 4*t + 24?\nAnswer: -13960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374949621.\nAnswer: 3, 67, 207269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 11*q**2 - 11*q + 52. Let g be n(10). Suppose 0 = -113*j + 120*j - g. Let f(a) = 7 - a**2 - 2 - 1. What is f(j)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -394 - -7488\/19. Let n(y) = 20*y - 83. Let v be n(4). Which is the closest to -1\/2? (a) -1\/9 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -50, -77, -110, -149, -194?\n\"Answer: -3*p**2 - 12*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 56*v**3 - 119*v**2 + 174*v = 0. Calculate v.\nAnswer: -3, 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -15. Suppose d = -t - l, -4*d = t + 2*t + 8. Does 14\/5 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 2, 0, 1 in decreasing order.\nAnswer: 60, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3390*k - 16943. Calculate a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 39*a**2 - 2*a + 11. Let v(d) = 6 + d + 11*d**2 - 2*d + 8*d**2. Let o(t) = 6*k(t) - 11*v(t). Does 13 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -5. Let k = 0 - 0. Let x be (4\/20)\/(0 - 1). Which is the nearest to 1\/3? (a) n (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 3)*(2*i - 5*i + i) + 2*i + 3*i - i + (-4*i + 4*i + 2*i)*(0 - 3 + 2) + 2*i + 3*i - 4*i + 1 - 1 + 2*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 233 + 26*b - 12*b - 20*b.\nAnswer: -10*b + 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 2*t + 5*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6630 and 24531?\nAnswer: 245310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/24 and -95\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20825 divided by -4165.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 + 5 + 6 - 3*k**2 - 15 as t*k**2 + o + b*k and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 16, 11\/2, -1198?\nAnswer: -1198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-504)\/(-81) + 4\/(-18). Suppose 2*c - 2 = p. Suppose -c = -2*n + 5*h, 3 + 9 = -2*n - 3*h. What is the third biggest value in 4, 4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = l - 15, -12 = -4*y + 5*l + 39. Calculate the highest common divisor of y and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(2*sqrt(729)) - sqrt(208)*1.\nAnswer: -71*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 647384 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 0*b**3 + 0*b + 6 - 9\/2*b**2 + 0*b**4 - 5\/6*b**6 + 0*b**5. What is the second derivative of m(r) wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 5 - -4)\/((-60)\/(-2629300)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {g: 3, i: 3, h: 6, z: 1, q: 1, b: 6}.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -893 or -896?\nAnswer: -896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 7:26 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.257 - 30.743. Which is the closest to 0.1? (a) -1\/3 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 4*x + 11. Is i(6) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8\/5, 55, -6 in increasing order.\nAnswer: -6, -8\/5, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 - 9688*t + 9684 = 0.\nAnswer: 1, 2421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -302.\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 + 0*r**2 + 0*r**2)*(2*r**2 - 140 - 129 + 274) to p*r**3 + q + n*r**4 + v*r + s*r**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Sort 3, q, -2 in decreasing order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 36753?\nAnswer: -36750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 26*j - 19. Determine y(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 122*d**3 + 201*d**2 - 294*d + 587. Let k(x) = -17*x**3 - 29*x**2 + 42*x - 84. Let o(b) = 43*k(b) + 6*q(b). Give o(40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 30.2 (c) 2\/15 (d) -2 (e) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 6 - 3. Solve -1 = 2*i + a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q**2)*(2*q + 1 - 1) + (-4 + 3*q + 4)*(9*q**2 - 3*q**2 - 2*q**2).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16897540306 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 227339061701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 46.1, -3, 0.24, 3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11870?\nAnswer: 2, 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let b(c) = -35*c**2 + 39*c. Let z be (-8 - (-6 - -1))\/(3\/(-1)). Let o(q) = z*b(q) + 2*s(q). What is the second derivative of o(t) wrt t?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95328\/6 - 66\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-1 - (5 + -5)) + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/475*35\/(-14)*70\/114?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4063, 4062, 4061, 4060?\nAnswer: 4059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 2*y**6\/15 - 77*y**5\/10 + 10*y**4\/3 - y**3\/6 - 65*y**2\/2 + 4261*y. What is the third derivative of g(b) wrt b?\nAnswer: 96*b - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 13*w - 2)*(4 + 206 - 43 + 74).\nAnswer: -3133*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/9 and 24\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32302305?\nAnswer: 3, 5, 7, 102547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(1 - 15\/6). Let z be (2 - (-135)\/(-25)) + 3. Which is the third biggest value? (a) z (b) i (c) -5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10021591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2796*z + 8894. Determine a(3).\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99839447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40033469 rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*r + 3*w, 2*w + 2 + 6 = 0. Solve -r*m + 13 = -3*c, 0 = -2*m + 5*c + 13 + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432 + 436 - (-1 + 1 + (0 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 23. Determine t(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = 4*r + 1920, -4*o + r = 7731. What is the hundreds digit of ((-15)\/(-2))\/((-42)\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6429007l in millilitres?\nAnswer: 642.9007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**3 - 52*o**3 - 6*o**3 - 7*o**3.\nAnswer: -38*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 0, -4 in increasing order.\nAnswer: -13, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -9. Let g = y - 1. Let i = 8 - g. What is the closest to -0.1 in -5, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7960687*l**3 + 118757*l + 9 wrt l?\nAnswer: 47764122*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 + (-16)\/(-4). Suppose -y + u*w + 12 = 0, -3*w - 4 = -y + 6. Suppose -2*k - 5200000 = -y*k. Round k to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 16 + -15 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(2\/27))*z**16\/z*z*z**(1\/3)*z*z*z**6)**(3\/49) assuming z is positive.\nAnswer: z**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5122*q + 470*q - 1143*q - 3399*q + 456*q.\nAnswer: -8738*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(40)\/(sqrt(8) + -2*sqrt(8))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/8 + 3600471*a\/8 - 147629397\/4.\nAnswer: 3*(a - 82)*(a + 1200239)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) 7 (c) -33 (d) 1\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (648\/(-486))\/(4\/(-1602)*30)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -26, 6353.\nAnswer: -26, 3, 6353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 = -p + 19, -44 = 4*u - 5*p. Let n be u\/(3 + -7 + 3). Solve 0 = b - n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = -13*x - 208. Calculate the least common multiple of x and 771.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 1, w: 1, q: 1, u: 2, m: 1}. Give prob of picking 1 n, 2 u, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 7, i: 1, h: 8}. Give prob of picking 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11\/3, -2.462 in decreasing order.\nAnswer: 2, -2.462, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.9 - 9. Let k = -1.7 + s. Which is the second biggest value? (a) k (b) -6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 - 2)*(-2*k + 2*k + 2*k)*(-2*k**3 + 129*k**2 - 5*k - 129*k**2) to f*k + m*k**2 + a + b*k**4 + p*k**3 and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -419905 (c) 4 (d) -0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*c = 10, -2*b - b = 4*c + 6. Let s be b\/(-4) - 241000005\/10. What is s rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 273700.\nAnswer: 273700.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 791416 + -123?\nAnswer: 7912a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 - 83 + 181)*(-4 + m + 4) + m - m - 3*m - m - 1 + 1 + 3 - 3 - 2*m + 5*m - 2*m - m + (-2*m - 3*m + 7*m)*(2 - 1 + 0) to the form y + z*m and give z.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxxe when four letters picked without replacement from {h: 1, f: 11, x: 3, p: 2, e: 1}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-2*l + 2*l + 2*l)*(2 - 3 + 3)*(-25*l - 143*l - 26*l).\nAnswer: -776*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59884 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: Rearrange -6*d**3 + 18*d**2 - 6*d**4 + 1 + 12*d**2 - 28*d**2 - 31*d**4 - d**4 to j + u*d**4 + c*d + s*d**3 + f*d**2 and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.04 in -0.1, 25, 1, -0.5, -8.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082 - 712 = 37*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*a, 4*k = -0*k - 3*a + 6. Suppose 2*g + 2*g - 36 = k. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 1\/2 (c) 7 (d) 15 (e) 4.6 (f) -51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276.86 - -277.86. What is the biggest value in 0, 40, g, -0.2, -0.4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5920, -12182, -18782, -25720, -32996, -40610?\n\"Answer: -169*a**2 - 5755*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38499.4492 - 38487. Let a = v + 0.0508. What is a rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 2*w + 47*w**2 - 43*w**2.\nAnswer: 4*w**2 + 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/((-49)\/(-735)). Suppose 0 = 2*v - 9*v + 35. Let a = -34 - -61. Solve -v*b = 2*r - a, l*r - r - 24 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3\/5 (b) 0 (c) -5 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*r + 2, 1034*f + 2*r - 17 = 1029*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**2*w + 265*l*w + 13141*l - 367384*w - 39 with respect to l.\nAnswer: 10*l*w + 265*w + 13141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 5*f**2 + 2. Let q be w(5). Let n(o) = q - 7 + 6*o - 3 + 0. What are the prime factors of n(7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 4, s: 2, h: 6, r: 7}. What is prob of picking 1 h and 1 s?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three quarters of a hour?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9097894 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -499 and 0.028.\nAnswer: -498.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -360 and -0.5?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 530*f**4 + 4*f**3 - 8*f + 1683. Let q(k) = 531*k**4 + 3*k**3 - 6*k + 1684. Let u(c) = -3*m(c) + 4*q(c). Differentiate u(h) with respect to h.\nAnswer: 2136*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35742)\/(-1260) + (-4)\/(-30). Factor -48*l - 15\/4*l**3 + 24 - i*l**2.\nAnswer: -3*(l + 4)**2*(5*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3496, -3497, -3498, -3499, -3500?\n\"Answer: -b - 3495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuyu when four letters picked without replacement from {y: 2, u: 7, d: 11}.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*n + 4*k, -k = n + 818 - 836. Solve -1965*t + n = -1961*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(8\/7)*a*a**(-4\/9)*(a*a**(-4\/9)*a)\/a**(1\/18))**(-2\/63) assuming a is positive.\nAnswer: a**(-403\/3969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 10855*u**2 + u**3 + 10856*u**2 + 9 + u**4 + 4*u**3 in the form z*u + b*u**2 + y + r*u**3 + w*u**4 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -241201*l + 241212*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = -2*t - 2, -t - 4*a - 13 = 0. Let s = t - -8. What is the second derivative of -4*v - 2*v**3 - 9 + s*v**3 + 9 wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541933?\nAnswer: 7, 77419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -22 + -13 - (1 + -1). Let i = 94 + q. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, m: 1, w: 4}. Give prob of picking 1 m and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*g + 21. Let q = g - -58. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 + (-12 - (-3 - 6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 9*z**2 + 9*z + 11. Let p(o) = -3*o**3 + 6*o**2 - 5*o - 3. Let q be p(2). Let l be (-1 - 0)\/(q\/(-26)). Let u be 7\/(-21)*48\/l. Determine a(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100\/13 + -161\/26. Which is smaller: -28 or c?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 30*b - 177. Determine h(-6).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13152*w**2 + 18864*w**2 + 17661*w**2.\nAnswer: 23373*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 122359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 3, 4, 0 in descending order.\nAnswer: 4, 3, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169 + 57 + 119 - c.\nAnswer: -c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - sqrt(78)*-1)\/sqrt(6) + -5)*-3.\nAnswer: -6*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, p: 1, s: 2, q: 2, l: 1, r: 5}. What is prob of sequence lwsp?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.9 - -3.7. Let k = q - 0.8. Let m = k - -4.5. What is the closest to 0 in m, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.5 take away -3.5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.22846 minutes in nanoseconds?\nAnswer: 1573707600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 754 - 768 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rssvyrsyusrvryn. Give prob of sequence sys.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12\/9*1*15\/(-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5722.3 rounded to the nearest 10?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i - 1. Let x be i\/5 + (-108)\/(-15). What is x rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 9. Let p be i(-4). What is the tens digit of (-15)\/p - 530\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 9*k - 11. Let o be n(-7). Let q(r) = -2*r - 4. Suppose 0 = 4*t + t + 20. Let l be q(t). Which is the biggest value? (a) -1\/6 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-9) + -1 - (-8)\/12. Let t = l - -60. List the prime factors of t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703831401?\nAnswer: 3, 7, 13, 179, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1584 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 16*x - 45. Give k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - 4527*c + 1212073. Determine k(697).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1610.5 - -1610. What is the third smallest value in r, 0.3, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 10. Suppose -12 = 4*a + 2*w, 0 = 5*w - 14 - 6. Let u be t(a). Solve u = -i - 3*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(252)*-6 + -4 + (2*(0 + sqrt(252)) + -2)**2 + -4.\nAnswer: -156*sqrt(7) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h + 10*h = 0. Let a(f) be the first derivative of h*f + 3\/2*f**2 + 4. Let p(x) = -4*x. Determine a(p(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/2605 - 5111\/28655. Which is the fifth smallest value? (a) -6 (b) -13 (c) o (d) -4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*d + 40, -2*t + 24 = t - 3*d. Suppose 3*o + 4*k = 480 - 184, -4*k - 72 = -o. Let b = -66 + o. Solve 0 = 2*j + 4*v + b, -j - v - t = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/45)\/(-2*(-4)\/(-18))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 144 = 4*r - 134, -3*r + 5 = -4*j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 + 25*r - 25. Let q(v) = 1. Suppose p + 127 - 126 = 0. Let a(c) = p*u(c) - 5*q(c). Factor a(j).\nAnswer: 5*(j - 4)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 932 + -597. Let s = 681 - m. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {j: 2, h: 2, p: 1, e: 2, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1777\/5054 - -2\/361. Let t = -1\/23284979700 + -683593448533151\/128975502558300. Let c = t - -1\/5539. What is the common denominator of c and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 24 = -4*h. Let l = 10 + h. Suppose l*i + i = 100. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86480442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/360 - s**5\/20 - 2*s**4\/3 + 3*s**3 - 8*s**2. Let t(q) be the first derivative of z(q). Factor t(b).\nAnswer: (b - 8)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3\/194 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -43 - 45. Let y(l) = l**3 - 7*l**2 - 12*l - 11. Let u be y(o). Let v = -36 - u. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 109950 and 219900.\nAnswer: 219900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzanpta. Give prob of picking 1 n, 1 a, and 1 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110111010 + 1010?\nAnswer: 1010111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, h: 1, e: 3, b: 2, u: 1}. Give prob of sequence euer.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 70*j + 83. Let w be f(-34). Is 7 a factor of (2 - -98)*w\/10 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*g + 5*l, -6*l + 7*l = -g + 2. Let v(s) = -s**2 + 29*s + 35. Let y be v(30). Solve -15 = -y*n, n - g*n = -z - 11 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 2358 and 655?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-2 - (-3)\/(-6)). Let x = -4 + j. Put 2\/3, x, 2 in descending order.\nAnswer: 2, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*f - 33 = 3, -z + f = -19. Solve 0 = 4*p - z, -2*o + 13 - 1 = 4*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3\/5, 3\/2, 2\/11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 11, -0.4, 5, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {l: 1, q: 6, p: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*m = 3*v - 9, 5*v + 3*m = 12. Suppose 3*c + v = 9. Find the third derivative of -u - u**4 + 5*u**4 + u + c*u**2 wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/7630 and 67\/15914.\nAnswer: 556990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -32*j. Let h(r) = 21*r. Let w(t) = -8*h(t) - 5*s(t). Let v(o) = 27*o**2 - o. What is v(w(z))?\nAnswer: 1728*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + (62\/31 - -2034*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 173, 112, 51?\n\"Answer: -61*z + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1244724 and -58.48.\nAnswer: 1244665.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 18 + 6. Suppose 2*o = -c + 12. Suppose 0 = 7*g - o*g - 128. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47730 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 24 - 1 - 2 - y - 2. Let p be j(14). Solve -p*q + 9 = u, -u = q - 2*q - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*3\/(-4)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6625*s + 479092 - 1207842 = 0 for s.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352363 is divided by 88090.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6263361 to the nearest integer?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 6*q - 506. Let s be c(14). Which is smaller: s or -88\/47?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(72)*-1)**2 + 1 - sqrt(72)) + sqrt(72)) + 4 + ((sqrt(72) + sqrt(72) + -2 + sqrt(72) + sqrt(72) - sqrt(72))*-5)**2.\nAnswer: -1800*sqrt(2) + 16085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.032 (b) -6 (c) 1\/6 (d) -160 (e) 1\/4 (f) 162\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 31*c**2 + 8*c - 11. Let p be d(3). Suppose -3*v + p = -v. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -44*u**3 - u**2 - 2*u - 1. Let k be j(-1). Suppose -k = -r - 11. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -3*sqrt(91)*2) + -4*-1*sqrt(91))\/(-4*sqrt(7)*-2 - sqrt(35)\/(sqrt(20)\/sqrt(4)))*2.\nAnswer: 22*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*5)\/sqrt(6)*-2.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by ((-3)\/(-5))\/((-9)\/(-225)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -881\/2 - -426. Let g = 6 - 7. Let n = 1 + g. What is the common denominator of n and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -395\/86 + 4\/43. Let h(j) = -j**3 + 3*j**2 + 3*j + 6. Let i be h(6). Calculate the common denominator of o and 5 + (-3546)\/i + 4\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 8. Let o be s(4). Let r = 72 - o. Let 28*i**4 + r*i**3 + 26*i**2 + 30*i**2 + 4*i**5 - 20*i**2 = 0. Calculate i.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 9*w = 2*w - 84 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479601994?\nAnswer: 2, 17, 14105941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h - i + 43 = 0, -10 = -h + 4*i. Let t(f) = -f**3 - 5*f**2 + 6*f + 8. Calculate the remainder when h is divided by t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173913439?\nAnswer: 7, 24844777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 1214610.\nAnswer: 13\/404870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15995627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 38. Let u be g(-9). Let a be (u\/14)\/(-1 - (-279)\/315). Factor 1\/4*n**3 - n**2 - 1\/2 + a*n.\nAnswer: (n - 2)*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*w - 73, -10*k = 2*w - 9*k - 71. Suppose -w*j + 931 = -17*j. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 g when three letters picked without replacement from mmmmmmgmgm?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -390, -821, -1168, -1437, -1634, -1765, -1836, -1853?\n\"Answer: -s**3 + 48*s**2 - 568*s + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + v - 30 = 0, 25 = 1688*v - 1683*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 = q, -1 = -q - 7*l + 4*l. Suppose -23 = -5*f + 27. Let n = f + q. Solve -i = j - n*j + 17, -12 = -4*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 + 8*x + 49 + (2*x - x + x)*(3 - 5 + 4).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -0.0668, 0.4, -1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13150, -26305, -39462, -52621, -65782, -78945, -92110?\n\"Answer: -n**2 - 13152*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 16236518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 42 = 4*k, -9*k - 3*a - 36 = -12*k. Let w(n) = 2*n + 13*n**2 + 8*n - 2*n. Let y(c) = -3*c**2 - 2*c. What is k*y(q) + 2*w(q)?\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 1368\/(-96))\/((-378)\/(-648) - (-1)\/(-3)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1123741 milliseconds to seconds.\nAnswer: 0.0001123741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -237 smaller than -241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - v = 25, 0 = 2*w - 3*v + 4*v - 3. Solve -w*n + 2*z + 26 = 0, -6*z - 2 = 2*n - 2*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2667571 = -o - 3*v, 411887 = o - 5*v + 3079490. Let s = -335469 + o. Let t = 1683052 + s. Round t to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**7\/1260 - c**5\/120 + 3*c**4\/8 - 6*c**2. Let k(h) be the second derivative of l(h). Calculate k(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2 + 1033860*y + 5169325 = 0.\nAnswer: -5, 1033865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/22 + 184\/44 + -4. Suppose 0*v + v - 1 = 0. What is the units digit of 5 + v + -3 + d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/28795?\nAnswer: -4\/28795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 544680 and 2448.\nAnswer: 1089360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220020202220 (base 3) to base 8.\nAnswer: 1644222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520 = 1168*s - 1181*s for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-10))\/(1\/(-6)*-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 3*s + 7. Let u(z) = 1. Suppose -5*d + 85 = 5*k, 2 - 76 = -4*d - k. Let t be (-2)\/d + 126\/114. Give t*f(g) - 6*u(g).\nAnswer: -2*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16821583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 148*f**2 + 2711 + 4 - 149*f**2 - 2702.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 5 (b) -271 (c) -0.71 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/18315 and 43\/90.\nAnswer: 36630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 7 + 1, 3*p = -3*f + 6. Let j(n) = 4*n**2 - 12*n. What is the remainder when j(f) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97809 is divided by 155.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 7. Suppose -2*f = -6*f + 5*s + 16, -4*f + m = -4*s. Suppose 5*c + 293 = -0*d + f*d, 3*c + 283 = 4*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 374 + -363. Which is greater: o or 9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**4\/12 - u**2. Let k be m(1). Let b = k - -2. Solve b = g + 4*l - 13, 2*l - 14 = g + g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooeo. Give prob of sequence ooe.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-63 - -3)\/(14\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1417 + -1415.6. Let a = -5.1 - -5. What is the biggest value in a, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 11 (b) 0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 74, 147, 220, 293, 366?\n\"Answer: 73*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**6\/240 - z**4\/3 - 15*z. Let q(a) be the third derivative of n(a). What is q(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(-2\/9)*v)\/v)**(5\/17) assuming v is positive.\nAnswer: v**(100\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let x(c) = -c. Let s(m) = -12*m - 2. Let y(i) = -i**2 + 22*i - 7. Let u be y(11). Let z = u + -104. What is d*s(a) + z*x(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 0*s + 1\/3*s**5 + 0*s**3 + 0*s**2 + 0*s**4 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1906, 7542, 16896, 29962, 46734?\n\"Answer: -x**3 + 1865*x**2 + 48*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 11*n**6\/120 - 2*n**5\/15 - n**4\/3 - 2*n**2. Let o = 72 + -77. Let q(l) = 7*l**3 - 5*l**2 - 5*l. Determine o*i(m) + 8*q(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z = 0. Suppose -2*d - i + 1 = 4, z = 5*d - 4*i - 12. Solve -3*k - 5*y + 8 = d, k + 2*y - 4 = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84388423 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17009 - -0.227175. What is p rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1, 7*y - 192 = -2*s + 9*y. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 times 1255.33\nAnswer: 89128.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/56*(-21)\/(-27)*12\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0857*103.\nAnswer: -111.8271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Suppose -20 = -q*k - k. Calculate the highest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 95, 149, 205, 263, 323?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 0*o**2 + 11*o**2. Let w(z) = -z**3 + 4*z**2 - 4*z + 5. Let a be w(3). Let d(g) = 373 + 10*g**2 - 373 - 9*g**a. Determine d(p(s)).\nAnswer: 196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2943640, 5887278, 8830916?\nAnswer: 11774554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 5100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let i(m) be the second derivative of -115*m + 0 + 0*m**2 - 1\/2*m**3 - 17\/3*m**4. What is i(n(r))?\nAnswer: -272*r**4 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1178)\/(-57) - 21\/1. What is the smallest value in -590, -2, s?\nAnswer: -590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**6\/2 - z**3 + 5. Find the third derivative of d(q) wrt q.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 0.8, -0.2, -2, -0.12, -0.4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 575961*c - 1727878. Determine r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 261, 514, 767?\n\"Answer: 253*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*o - 50*o - 49*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -13, -1\/4, 3, -0.5, -0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85788 divided by 14298.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3373832*z**4 + 2135778*z**2 + 7 wrt z?\nAnswer: 80971968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n**3 - 4*n**2 - 4*n - 2. Let d(i) = 9*i**2 + 0*i**2 + 5 + 23*i**3 + 11534*i - 11525*i. Give 9*c(p) + 4*d(p).\nAnswer: -7*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - g**2 + 5*g + 3. Let d be (-2)\/((-4)\/1)*4. What is the remainder when 2 + d + 7\/1 is divided by n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2406, -2401, -2398, -2397, -2398, -2401, -2406?\nAnswer: -2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 9*t**2\/2 - 12807. Let v(l) = 3*l**2 - 48. Give v(h(g)).\nAnswer: 243*g**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -146880*c*r**3 - 118*r**3 - 102*r + 2 wrt c.\nAnswer: -146880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 1 - (-40)\/4. Let b(f) = -2*f + 1. Let s(c) = 1. Let a(t) = -b(t) + 6*s(t). Let r(o) = o + 2. Calculate y*r(h) - 4*a(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*n + 33*n - 102*n + (3*n - 2*n - 3*n)*(1 + 4 - 4) + (-1 + 1 + n)*(-2 + 4 - 4).\nAnswer: -90*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1035\/(-75))\/(-23)*(-315*1)\/(-7)*3?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62435 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -167, -166, -163, -158, -151, -142, -131?\n\"Answer: i**2 - 2*i - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 13 = -4*o. Calculate the greatest common divisor of o and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z + 6*z - 3*z - 2*z in the form n + b*z and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27aa0 + 973?\nAnswer: -2712b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + 0.21. Which is the nearest to q? (a) -2 (b) 1\/6 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, u: 1, j: 1, b: 3, t: 2}. What is prob of picking 1 a, 1 b, and 1 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.8 plus 0.4733?\nAnswer: 12.2733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*(d*d**21)\/d)))**1\/((d**(1\/4)*d)\/(((d\/d**(-1\/9))\/d)\/d*d)) assuming d is positive.\nAnswer: d**(751\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/4 + 4*u**3 - 31*u**2\/2 + 20*u - 33\/4 = 0.\nAnswer: 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 41163836.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, i: 7}. Give prob of sequence aaii.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -5*g**4 + 35*g**3\/6 - 3*g + 4. Let z(f) = 5*f**2 - 3*f. Calculate 3*j(n) + 35*z(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3176315519 to the power of 1\/2, to the nearest integer?\nAnswer: 56359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 64.286412?\nAnswer: 64.286412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.227 + 5.26. Let o = l - -0.267. What is the second smallest value in -4, o, -16, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 17*f**2 - 27*f + 5. Is p(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:01 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(2\/41)*g\/(((g\/(g*g**(-4)*g))\/g*g)\/g)*((g\/g**31*g)\/g)\/(g**(-8\/11)*g) assuming g is positive.\nAnswer: g**(-13224\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2841462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1039 - 176. Round r to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 1099 = 5*h - 496 - 404, -5*h = 6*o + 301 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 25. Suppose -g*d - 3 = -23. Suppose d*v = -v - 0*v. Solve r + 4*r - 20 = v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*x = -4*s - 10, -x + 0*x + 3368 - 3335 = -9*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 + 3*p**2 + 0*p**2.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(5)) + sqrt(5) + sqrt(180) + -4)**2*6 + 0 + (sqrt(720) - (sqrt(720) + sqrt(720) + 3*(sqrt(720) + 2)**2) - sqrt(720) - sqrt(720)).\nAnswer: -540*sqrt(5) - 942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + 3 - ((5 - 4) + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 30. Suppose -5*q = -q - n. Solve q*z - 4*z + 3 = 4*c, -4*c = 4*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -4, 12599, 4?\nAnswer: 12599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -100, -219, -354, -511, -696, -915, -1174?\n\"Answer: -o**3 - 2*o**2 - 106*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -16193 and -55 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2606?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (-6*(0 + sqrt(98)))**2 + 3 + sqrt(98) + 2 + sqrt(98) + -1 + -5 + -3.\nAnswer: 14*sqrt(2) + 3532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29768147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58112*c**4*f + 497*c**4 + 8*c*f + c + 3677*f - 287 wrt c?\nAnswer: -697344*c**2*f + 5964*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 5*g**2 + 6*g. Suppose -5*s + 6 - 31 = 0, -26 = -2*n - 2*s. Suppose 0 = -4*h + 2 - n. What is c(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/65)\/(-9 + (-44)\/(-5)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/111 (b) 0 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**2 + 48*j = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61840122.4061 + 61836255.40612501. Let h = -3867 - m. Round h to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 3 - 1 + 4. Let z(u) = u**2. Determine g(z(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (-20)\/(-520)*-146*1. Factor j - 10\/13*z + 2\/13*z**2.\nAnswer: 2*(z - 4)*(z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102322 (base 4) in base 6?\nAnswer: 142254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*v - 4*v. Suppose 0 = -3*h + h + 4. Suppose v*p - h*l = 78, -105 = -3*p - l - 0*l. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - -120. Suppose -j*l = 4*b + 480490 - 143286, -2*l + 4*b = 168596. Round l to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**3 + b**3 + 0*b**3)*(5 + 0 - 4) - 36 - 4*b**3 + 36 as i*b + m*b**2 + t + z*b**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.02 + 0.02. Let o = 1 + r. Let p be (8\/(-84))\/((-1)\/(-3)). Which is the nearest to p? (a) 4 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 17. Give m(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.07 - 0.07. Let u = -28 - -13. Let z = u + 15.5. What is the third biggest value in z, 2\/11, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = -4*w. Let i(s) = -14*s - 1. Suppose 20 = 3*p - 22. Calculate the remainder when i(w) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-6) + (-16)\/(-48). Let v(i) = i**3 - 2*i**2 + i. Let t be v(2). Factor 3*g - g**2 + 4*g**t + g**z.\nAnswer: g*(4*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1*b*b)**(2\/71))**(-23)*(((b*b**(-3\/5)*b*b)\/b*b)\/((b\/(b**(-7)*b))\/b))**(-44) assuming b is positive.\nAnswer: b**(55542\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2157572 and 5389?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 0*q**3 - q + 2*q**2 + 0 - 7\/90*q**5 - 1\/12*q**4. Factor z(o).\nAnswer: -2*o*(7*o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725057.44 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 12*o = 24. Let s be 1 + 3 - (o + 5 - 1). What is the derivative of 166*w**2 - 29*w**3 - 328*w**s + 162*w**2 - 12 wrt w?\nAnswer: -87*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 2)*(-5*o**2 + 2*o**2 + o**2) + 3*o**2 + 0*o**2 - 5*o**2 + (-6*o**2 + 2*o**2 + 2*o**2)*(2 + 0 - 1).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2.3, 2\/19, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-264)\/495)\/((-5)\/(-50))*(-360)\/320\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6)*(2 + -10). Let a = 5 + w. Let x be a + (14\/(-18))\/1. What is the closest to x in -0.2, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 7 (b) 0.5 (c) 3 (d) -213792\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1351612452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230007 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1.9 (b) -2\/5 (c) -0.04 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1252120 divided by 92.\nAnswer: -13610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41355, 41227, 41015, 40719?\n\"Answer: -42*y**2 - 2*y + 41399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/12 - 1903\/(-3). Suppose -16*a + 19*a = y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6503 + 6499. What is the nearest to 0.4 in a, 4, 3\/17, 5?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -2\/13 (c) 5\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - 1) + -75 - (-197 + -36 + 220)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -75 - 3107?\nAnswer: -317c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqd when three letters picked without replacement from gcdcqqqqqqxdrrrrxrd?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 73. Suppose 6*y - t = -19. Suppose -3*s = -5*m - 2, -2*s + 29 - 11 = y*m. Solve -n - m*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 equal to 164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 plus -406411.374535?\nAnswer: -405932.374535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 16*g - 2. Let n be w(2). Suppose -3*z + 69 = -27*u + 24*u, -3*u + 87 = 3*z. Suppose z*c = n*c - 168. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4470, 4479, 4482, 4479, 4470, 4455, 4434?\nAnswer: 4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**6\/90 + k**5\/40 + k**3\/3 + 4. Let q(o) be the third derivative of j(o). Find the second derivative of q(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 769*a - 801*a - 224 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178694 to the power of 1\/2, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2522 is divided by 388.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1272875 and 25757?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**0*x*x\/(x**(-1\/5)*x)*(x\/(x\/x**(-5)*x))\/x**(-2) assuming x is positive.\nAnswer: x**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.08 + 0.08. Let f = 0 - w. Let r = f - 3.1. What is the smallest value in r, -2\/9, -1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + 11 + (6 - -4) + 4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80815.05 litres in millilitres?\nAnswer: 80815050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10*v**3)\/(v**0\/v*v*v**7) assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 239*c**6\/30 - c**4\/3 + 2042*c**2 + 3249*c. What is the derivative of q(t) wrt t?\nAnswer: 956*t**3 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4 and 23\/12533?\nAnswer: 50132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5726807 is divided by 517?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/16)\/((-1)\/(-4)). Suppose -3*z = 4*q - 168, 0*q + i*z - 98 = -2*q. Calculate the common denominator of 99\/2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -84, -305, -668, -1167, -1796, -2549, -3420?\n\"Answer: s**3 - 77*s**2 + 3*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:50 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3 - 4. Let h(o) = -2*o**3 + o**2. Let u be h(r). Calculate the greatest common factor of 24 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**(-5\/3)\/(d**1)**(18\/13) assuming d is positive.\nAnswer: d**(206\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*g = 21, 3*x + 5*g + 16 = 53. Suppose -b + x*v = 70, 0*v = -v - 4. Calculate the remainder when 26 is divided by 6\/(-18) - b\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, 0, -1 in decreasing order.\nAnswer: 0, -0.18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 b when three letters picked without replacement from bzzbnt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24582848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/6 + 2*k**2. Let t(c) be the second derivative of -c**3\/6 - 13*c. Calculate t(i(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d22 - -10b?\nAnswer: e2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70695 is divided by 337.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 7*n + 1196*n**2 - n + 0*n.\nAnswer: 1196*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 + 128. Let a = 133 + s. Calculate the remainder when a is divided by 412\/22 - (-15)\/55.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 44 = -4*y, 0*y + 2*p = 2*y - 22. Let b = 90 + -52. Let h = -19 + b. What is the remainder when h is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 541360946 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 27 = -8*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4888 and 9?\nAnswer: 43992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*(-20)\/6. Let m be ((-1)\/(-2))\/(1\/72). Suppose -z*u = -m - 14. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - q - 4*q - 2759 = 0, 3*q + 1379 = 2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 6. Let q(r) = -r - 3. Let p be q(4). Calculate the smallest common multiple of v(p) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/(9\/(-324)). Let n(m) = m**2 - 14*m + 8. Is 20 a factor of n(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 18*n + 244. Let g be o(-9). What is the nearest to g in -1.4, -0.4, -2, 29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.303 - -15.103. Put p, -4\/3, 0.1, -4, 1 in increasing order.\nAnswer: -4, -4\/3, p, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 5. Let r(t) = 5*t + 5. Let l(k) = -5*r(k) + 6*v(k). Let u be (-4)\/(-6) - 12\/(-9). Let z be 2*1 - (-1 - u). What is l(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 24 = 354. What is the third derivative of 66*l - 17*l**4 - b*l + 24*l**2 wrt l?\nAnswer: -408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 82.99958. Round x to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*h + 7 = 0, 0 = -0*y + 2*y + h + 1. List the prime factors of (y - 782\/(-3)) + (-10)\/15.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -128.\nAnswer: 11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let g(i) = -10*i**2 - 29*i**2 + 1 - 1. Calculate l(g(s)).\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380726004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215*t**3 - 569*t**2.\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -508 (b) 0 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4450610 (base 9) to base 6\nAnswer: -123201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41, 28, -5, -64, -155, -284, -457?\n\"Answer: -z**3 - 4*z**2 + 6*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -754 - -757. Put a, -2, -4 in ascending order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-1\/38)*l)))\/(l\/(l*l**6))*(l**8)**0 assuming l is positive.\nAnswer: l**(265\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13468733?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-13 - (-2 + -18)) - -19) + -116?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + 1)\/((-55)\/60885).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l - 1\/6*l**4 + 2\/35*l**5 - 1\/735*l**7 + 5\/21*l**3 - 52*l**2 - 1\/210*l**6 + 0. Factor b(a).\nAnswer: -2*(a - 1)**3*(a + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 51. Solve -3*h - 5 = -4*h, 4*j + 2*h + 10 = r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199.84 - 199.95301. What is w rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -19. Let r = -2.06 + 5.06. What is the nearest to 1\/3 in z, -2\/21, r?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-2*sqrt(133) + sqrt(133)) + -2*sqrt(133)*1)\/(-1*(sqrt(63) + (-1*sqrt(3087) - sqrt(3087)))))**2.\nAnswer: 19\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:36 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2078 (b) -5\/17 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66475 is divided by 563?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) - -4*sqrt(66))*-5)*2)\/(sqrt(60)\/(sqrt(50)\/(sqrt(5)*-4))).\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -5. Let r = -1122 - -14670\/13. Let j = r - 524\/65. Is c less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*a + 67*a + 8. What is the tens digit of (402\/12)\/(a\/40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:44 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800 = -214*x + 209*x. Let v = 436 + x. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10147, -20381, -30637, -40927, -51263, -61657?\nAnswer: -72121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -11*d + 1170. Let b = 143 - d. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 2118*n - 326040.\nAnswer: 3*(n - 836)*(n + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(12\/66*154\/28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((25 - 18) + 16 + -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(16\/(-3)))\/((423\/76516)\/((-144)\/(-264)))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 126\/4)\/((-48)\/12960). Suppose o = 47*a - 38*a. What are the prime factors of a?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c + 61. Suppose 13*h - 7 = 32. Let x be k(h). Is 94 equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2053, 8372, 18911, 33676, 52673, 75908, 103387, 135116?\n\"Answer: z**3 + 2104*z**2 - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 + 19*l**2 + 85*l + 577. What is x(-8)?\nAnswer: -1447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 3:06 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44244, -88533, -132822, -177111, -221400?\n\"Answer: -44289*c + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -293\/480 + 1\/96. Sort -3, -1, -5, u.\nAnswer: -5, -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -5. Let q be 2 - 2 - s\/1. Suppose 3*m = 2*b + 12, -4*m + 13 + 3 = -q*b. Sort -5, m, -1 in decreasing order.\nAnswer: m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 340574*q**2 + 26601*q + 1 wrt q.\nAnswer: 681148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 266 and 95.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7082894.9 + -7620.7.\nAnswer: -7090515.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*t**3 - 2704*t**3 - 2413*t**3.\nAnswer: -3945*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*m - 118*m = -247*m + 6878 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = -4*i + 16, -3*i - v + 12 = 0. Suppose -i*o - 56 - 12 = 0. Let h = -11 - o. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/(-27))\/(24\/(-18)))\/((-130)\/1105).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyhhzhnenxney. Give prob of picking 1 x and 2 n.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22498 - 22383. Solve -5*h - 5 = -p*a + 119*a, 0 = -4*a + 2*h + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1282153920 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.663379 millennia?\nAnswer: 6663.379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 6*f**2 + 7*f - 20. Let q be h(6). Is (q\/(-33))\/(6\/(-297)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (680\/(-1275))\/(32\/240).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 399396+0.015\nAnswer: 399396.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 12 = -52. Solve x = -z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 6*n**4 - 5*n**3)*(-117*n + 718 - 718).\nAnswer: 702*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 9. Let d be g(-9). Suppose b - 10 + 2 = d. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15782, -31485, -47186, -62885, -78582?\n\"Answer: k**2 - 15706*k - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-2 + -2 - -5) + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/7, 37, -28.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -16, -36, -8, 0.18, 5\/6 in descending order.\nAnswer: 4, 5\/6, 0.18, -8, -16, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 173*s**2 + 691*s + 86. Give h(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6, -6*u + 4*u + f + 40 = 0. Suppose -3*d + 6*d = u. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3630 - -3627. Sort k, -1, 0.5, -2\/53 in descending order.\nAnswer: 0.5, -2\/53, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 241, 363?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 2\/5, 30.1, 3\/4, -0.149?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o. Let p be h(2). Let g be ((-12)\/3)\/p*-4. Is (-40)\/(-22) + g - 40905\/(-99) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, 5 in descending order.\nAnswer: 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13369 + 13373. Let s(x) = -x**3 + 11*x**2 + 2*x - 8. Let k(j) = -j**3 + 10*j**2 + j - 7. Let t(p) = -5*k(p) + 4*s(p). What is t(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760 = 6*x - 49*j, 4*x + 244634*j - 244629*j - 96 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -653500 to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/836 and 157\/34314.\nAnswer: 754908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)\/i**(-4)*(i**2)**42)**(-1\/6) assuming i is positive.\nAnswer: i**(-179\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 90 = -56*t + 6*t. Let g(y) = -3*y**2 + 5*y + 15. Determine g(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**6\/180 + l**5\/12 - 53*l**3\/6 - 49*l**2. Let j(r) be the first derivative of a(r). Factor j(g).\nAnswer: -2*g*(g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*x + 15*x + 55*x + 1450 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 + 138*v + 46 + 34 - 18 + 76 wrt v?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 390\/(-245) + 0 - -1 and 47\/10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3299*i**2 - 4*i - 3. Let b be q(-1). Round b to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**9)**(-23\/2) assuming q is positive.\nAnswer: q**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:20 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1451734 + 3698266. What is m rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 524601 and 6633.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(1*45\/(-54))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/24 - 17*r**4\/24 - 11*r**3\/6 + 11*r. Let a(k) be the second derivative of j(k). Differentiate a(g) with respect to g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3174 and 12477.\nAnswer: 13200666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/20)\/(-4)*35. Let v(d) = 1 - 5 - n*d - 4*d. List the prime factors of v(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -129, -183, -237, -291, -345?\n\"Answer: -54*t - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 4*f**2 - f + 3. Let u be h(4). Let g = 337 - 335. Let d be ((-8)\/g*u)\/1. Solve -d*m = 3*q - 5, -q + 3*m - 5 = 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3464.60122 to zero dps.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-95)\/57)\/(30\/72)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110000 (base 2) to base 8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -25*f - 133 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - (-8 - 49)) + (-1 + 2 - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from vvvvfmmm?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -0.022963?\nAnswer: -0.522963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.455578?\nAnswer: -0.455578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 24\/(-3) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**7\/1155 + j**6\/330 + j**5\/110 - j**4\/33 - 4*j**3\/33 - j**2. Factor n(t).\nAnswer: -2*(t - 2)**2*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**6\/25 + y**5\/25 - 3*y + 10. Let w(i) be the first derivative of g(i). Determine h so that w(h) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.0577 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 4)*-3*(-4)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -7*l - 4*u, -4*l - 3*u - 398 + 413 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3830 (base 16) to base 9\nAnswer: 21652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Suppose 0 = 4*y + 3*r + 14, -3*y - 31 = 2*y - 3*r. Let u be b(y). Suppose 4*j - 31 = 2*k - u*k, -2*k - 56 = -5*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = -2. Suppose 8*g = 21*g + 91. Sort g, 4, x.\nAnswer: g, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + -356500136?\nAnswer: -356500043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 27. Solve -j*a + 5*x = -4, -3*a + 7*a - 3*x - 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 + 248*h - 70)*(-3 - 2*h + 3) - 3*h**2 - 3 + 3 - 2*h**2 + 0*h**2 + 3*h**2 + (-3*h + 0*h + h)*(-h + h - h) - h**2 - 2*h + 2*h.\nAnswer: -497*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25974 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + 48 = 0. Suppose -99 + 83 = -4*m. Solve m*u + o + 0 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(4*y - 3*y - 3*y) + (y + 2*y + 0*y)*(-5 + 3 - 3).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + 0*r**5 - r**5 + (7*r - 7*r - r)*(45*r - r**4 + 5*r**2 + 48*r - 87*r).\nAnswer: -4*r**5 - 5*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 44 + 1 = 0. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(3\/2)*m**(-7)*m*m*(((m*m**0*m*m*m)\/m)\/m)\/(m**3*m))**6 assuming m is positive.\nAnswer: m**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68953361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 31 = -32 - 37. Let k be -1 + (0 - 1)*-2. Is m greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - j - 2. Let z(f) = -6*f**2 - 2*f - 6. Let u(n) = 4*k(n) - z(n). Let m(g) = g**3 - 11*g**2 + 11*g + 11. Determine -2*m(w) - 11*u(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8328 is divided by 2773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + (11 + -5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3) - 240\/72. What is the third biggest value in 12, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2370)\/33 + 8\/(-44). Let t = w - -77. Suppose 0 = 3*v - 0*v + 5*b - 5, v - 3 = -b. Solve -2*i + 3*l + 0 - 7 = 0, t*l = -v*i - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 0*s = 20. Let c(j) = -j**s + 7 - j + j - 3*j - 2*j. Determine c(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(13) - -3*sqrt(13)*-1))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3990 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 188, 375, 562?\n\"Answer: 187*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4210 - -151242?\nAnswer: 155452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 745817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9126\/1705 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333 divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 33*p - 259*p + 2440 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + 11*c - 4. What is x(6)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 258 - 248. Which is bigger: 14 or f?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**3\/2 - 21*i**2\/2 + 146*i. Let g(m) = -2*m + 11. Determine -3*f(d) - 5*g(d).\nAnswer: d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + y)*(0 + 0 + 2*y + (y + 5*y - 4*y)*(-4 + 1 + 4) + 0*y - y + 2*y + 0*y - 2*y - 8*y) + 5*y**2 - 7*y**2 + 5*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27508 is divided by 473.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151 - -157. Suppose 3*k - 57 = -0*k. Solve -k - q = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 12. Let y be i*(465\/9 - 1). Suppose 2*j - 104 - y = 0. Is j a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z - 18. Solve 0 = f - z*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 12:52 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 796\/12 - 3\/9. Suppose -5*g = -3*g - o. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 4*s + 4. What is q(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*114\/76.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1007047866 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12)\/(1242\/(-1512) - (-6)\/(-63)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o, -3*n + 5*o + 669 = 56. What is the remainder when n is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -15*f. Suppose 6 = -2*t, f*t - 134 = -m + t. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 2*s**7\/315 - s**5\/15 - s**4\/9 - 2*s**2 + 11*s. Let j(q) be the first derivative of h(q). Factor j(c).\nAnswer: 4*c*(c - 2)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 0*x**2 + 1\/60*x**6 + 1\/24*x**3 + 1\/12*x**4 + 0 + x + 1\/16*x**5. What is c in p(c) = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.99 - 0.01. Let j = o - -3. Let c(q) = q**2. Let u be c(2). Put -5, j, u in ascending order.\nAnswer: -5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249309\/34 - 7332. Calculate the common denominator of y and 3\/14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y. Suppose y = -q - 2 + 9. Suppose 3*p - 11 - 16 = 0. Calculate the smallest common multiple of p and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 39*g\/2 - 315\/4.\nAnswer: -3*(g + 5)*(g + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 59. Let h = 20 - w. Suppose 5*c = -4*m + 4, h = -0*c - 5*c + 2*m + 28. Sort -2\/21, 8, c.\nAnswer: -2\/21, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1496 and 8536?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -882 + 878. Let p be 5\/2 + (-1)\/(-2). Sort 0, p, d in descending order.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (87 + -1)\/(((-348)\/144)\/(-29)) and 1548.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -54*i + 32*i + 125*i. Let y(m) be the second derivative of -m**3\/2 - 195*m. Calculate z(y(d)).\nAnswer: -309*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**6\/300 + 129*l**5\/50 - 9*l**2 + 45*l. Factor t(b).\nAnswer: -2*b**2*(b - 387)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 12 = -13. Let u be 8\/20 + (-403)\/i. Calculate the greatest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + 83 - (0 - (-10 - -18))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 761\/2, 2\/3, -1\/24 in ascending order.\nAnswer: -1\/24, 2\/3, 761\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 459\/26 - 8063\/442. Which is the closest to 0.2? (a) -6 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 6:06 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 43*y - 16428 = 0. Which is greater: -1370 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20828 + 103242\/5. Let o = -179 - n. Let l = -244 - -244.2. Put o, -1\/3, l in increasing order.\nAnswer: -1\/3, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*o - 228 - 244 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4714 - -4718. Sort 1\/2, -28\/9, f, 3, 2 in descending order.\nAnswer: f, 3, 2, 1\/2, -28\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 9:46 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 22 + 36. Suppose 2*j - 5*d - 61 = -0*j, 11 = j + 4*d. Suppose 10*y = 17 + j. Calculate the remainder when z is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56274201 and 9531.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 95929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 3 - 536*q - 10 as u*q + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*d**2 + 10*d**2 - 38*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123023\/12 - -10249. What is the common denominator of 59\/36 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 15. Let t = 13 + o. Suppose 3*s + 3*u - 12 = 0, 2*s = -7*u + t*u + 17. Sort -4, s, -5.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 236 and 2648746?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -695*d**7\/21 + 1735*d**3\/6 - d + 32. What is the second derivative of g(b) wrt b?\nAnswer: -27800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4147 - -4388. Calculate the remainder when j is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13f8 (base 16) to base 3\nAnswer: 21000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2194 + -2195. Which is the closest to -0.02? (a) k (b) 1\/3 (c) -14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 * 9.\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 1. Let a be q(-1). Let g be (2 + 1 + a)\/3. Let m be (-4 - g)*(-5)\/5. Solve -m = 2*t, -2*n = -t + 3*t + 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.4 and -2.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/28 in 2\/7, -1, 1.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2. Let p(c) = -c**2 - 1408*c + 8. Calculate p(z(y)).\nAnswer: -9*y**4 + 4224*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-184 - 640*n + 184)*(7 - 1 - 3)*(0*n**4 + 2*n**2 + n**4 - 4*n**2).\nAnswer: 1920*n**5 - 3840*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 39*a + 10. Is h(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfx when three letters picked without replacement from {f: 1, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (-2 - -1) + (-81 - -71)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(16\/12)*88\/33. Suppose -54 = -2*y + y + o*b, -y + 5*b + 60 = 0. Calculate the least common multiple of 100 and y.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 9:27 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1721314049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 3. Let p(i) = -3*i - 3. Let l be p(-2). Let d be z(l). Solve 0 = n + d - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = 7*n + 128. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23983*s**2 - 15971*s**2 - 5*s**5 + 11*s**6 - s**4 - 17051*s**2 wrt s?\nAnswer: 1320*s**3 - 300*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q - 7. Let c(l) = -6*l - 11. Let u be c(-7). Suppose 0 = 3*d - 3*y + 10 - 4, u = -3*d - 2*y. Is p(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7329\/(-6))\/(-7) - 9\/(-6). What is the highest common factor of h and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -32. Suppose 5*a + k = 3174, -2*a = h*k + 133 - 1398. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 21. Let u be b(6). Let y = -95 + 106. Find the common denominator of -51\/4 and 52\/y*(4 - u\/4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 9*f - 4. Let l be x(-7). Let i = l + -7. Suppose -10 = -i*t + 5. Which is the closest to -2\/7? (a) t (b) 0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -8*w - 42. What is the greatest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-4)*(-4)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.5 (c) -1\/33 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 19. Let b = l + 16. What is the units digit of (b\/(-16))\/(2\/68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1175 or -27860?\nAnswer: -27860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.016 (c) -3\/4 (d) -6668\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, d: 1, c: 6}. Give prob of sequence nn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**3 + 10 - 66*l**3 + 10 - 1 - 10 in the form z*l**2 + r*l**3 + x + v*l and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 - (9 - (11 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 2934?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 187341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 257713 smaller than 257720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 25 + 110 = 0. What is the greatest common divisor of z and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 59, 67, 53, 11, -65, -181, -343?\n\"Answer: -u**3 - 2*u**2 + 37*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308189628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606336?\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -21.7. Which is the biggest value? (a) 2 (b) -0.09 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669504112 to the power of 1\/2, to the nearest integer?\nAnswer: 25875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, t: 2}. What is prob of picking 2 w and 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, g: 1, m: 2, j: 2, u: 2}. Give prob of sequence ou.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 19*m**2 - 73*m - 17. Give y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 t when three letters picked without replacement from {g: 2, d: 4, t: 1, f: 7, l: 4, p: 2}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80678.\nAnswer: 2, 13, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 - 142*t**2 + 167*t - 43. Let q be d(-37). Which is smaller: q or 1991?\nAnswer: 1991","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 6:46 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 16 - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31744 and 1054744.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40103 and 3836.\nAnswer: 21976444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(84) + sqrt(21))\/sqrt(3) + 3))**2.\nAnswer: 72*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 320*1\/20*8. Suppose 431 - g = 2*r + t, 757 = 5*r + 3*t. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-27)*(-48)\/(-280)*-14?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 7*z - 2. Let i(b) = b + 5. Let f be i(-9). Calculate the remainder when 18 is divided by j(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 980*p**2. Let o(i) = 5*i. Determine h(o(u)).\nAnswer: 24500*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3 + 300*d**2 - 2295*d = 0. What is d?\nAnswer: 0, 9, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 12*n + 84 = 0. Solve -n*v - 4*f + 40 = 0, 2*f - f = 4*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.068 + 2.632. Let t = -0.7 + v. Which is the third smallest value? (a) 7 (b) t (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f**3 - 43*f**3 - 1 + 1.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:45 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1262280 divided by 268\nAnswer: 4710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216724393.\nAnswer: 19, 311, 36677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332 and 233243446?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 10:19 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0210825 rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 + 152 = 33*y - 91 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -1 - 25 - -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 206811.\nAnswer: 62043.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d**3 + 2*d**2 + 5*d - 9. What is the least common multiple of 69 and l(2)?\nAnswer: 4071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 4*j**2 + 11*j + 2*j**2 + 9. What is the smallest common multiple of 4 and n(11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 94022 - 94066 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: b\"What is the sth term of -26727, -26805, -26935, -27117, -27351, -27637?\n\"Answer: -26*s**2 - 26701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 19068*v**2 + 43.\nAnswer: 19068*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 112, 119, 126, 133, 140?\n\"Answer: 7*d + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 32*c**2 + 32*c - 191. Let i be p(32). Solve -i*b + 816*b - 17 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.6 - -9. Let l = 1.9 - q. Let m = l + -6. What is the third biggest value in 0.2, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/8)*b*b*b**2*(b**(-6)*b)\/b*b*b*b*(b\/b**1)\/b*b*b assuming b is positive.\nAnswer: b**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1523, 3002, 4485, 5972?\n\"Answer: 2*n**2 + 1473*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdwdxdwddzdldzlddrd. Give prob of sequence wd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000354 rounded to six dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-2 + 2 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-7 + 23 + -2)) + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74.1088 - -74. Round j to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 2 + 1 + 5 - k**3 - 70*k**2 + 71*k**2 as l + c*k**2 + u*k + d*k**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1179*z - 227377. Determine o(-192).\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (345\/(-105) + 4)\/(10\/(-140))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a day in hours?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.79398 milliseconds in nanoseconds?\nAnswer: 68793980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254 + -256. Is -59\/23 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*-24*19\/111264*1\/(1\/(-1))\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18510 + -18510.6. Sort -2\/5, 0.2, 4.7, q.\nAnswer: q, -2\/5, 0.2, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -3 (b) 2048 (c) 0.4 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 + 14551.\nAnswer: 14494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*f + 86*f + 30 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwcflcc. What is prob of sequence wlf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvv. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 503*n**4 - 4*n - 489*n**4)*(-2 - 3 + 6).\nAnswer: 14*n**4 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from vypv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 12:03 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*1 + sqrt(245))*1 - (sqrt(135)\/sqrt(3)*6)**2.\nAnswer: -1620 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1465342, 1465347, 1465364, 1465399, 1465458, 1465547?\nAnswer: 1465672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 13. Suppose 0 = 4*o - 2*o - z. Suppose o*i - 255 = 223. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 10*v**2 + 10. Let z be b(-10). Let h(f) = 3*f - 21. Let x be h(z). Find the second derivative of 4*c + x*c**2 - c - 15*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*l + 6 = -m - 0*m - 2*m, 0 = m + 452*l + 1803 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 351 and 4505544.\nAnswer: 58572072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 10732*t.\nAnswer: 2*t*(t - 5366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 94. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 + 3 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 0)*4)**2 - (sqrt(3) + -1 + -1 + 2)**2.\nAnswer: 3069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 44466248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23306)\/(-2710))\/(1*(-3)\/15)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 3}. What is prob of picking 2 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:34 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 5, -2, 45\/7, 3, -2.2?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 1) + (6 - 3). Let y = -9 + v. Suppose 236 = -4*x - d, 4*x - y*d = 3*d - 236. Round x to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/(-14) + 18\/63. Does 21 divide (466\/t)\/((-26)\/78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 39. Let i be 5\/(-425)*(10 + -20). Which is the nearest to o? (a) -1\/5 (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 3*x**2 - 2*x - 7. Let b(c) = -c**3 - 3*c**2 - 3*c - 7. Let n(s) = -5*b(s) + 6*k(s). What are the prime factors of n(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*n**4 + 269*n**3 + 2802*n + 70*n**4 + 639*n - 155*n**4 wrt n?\nAnswer: -72*n**2 + 1614*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + ((-225)\/(-27) - 4))\/(-9 - 484\/(-33)).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 + -73. Let m = 1786193 + -1786187.9999925. Let f = m - t. Round f to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 7*b**4\/24 - 5*b**3\/6 - 7*b**2\/2 + 5. Let o(k) be the second derivative of j(k). What is the derivative of o(h) wrt h?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/22 and 139\/33150?\nAnswer: 364650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*((sqrt(832)*1*-6 - ((sqrt(832) - ((sqrt(832) - (sqrt(832) - (sqrt(832) - (0 + sqrt(832))))) + sqrt(832) + 3)) + sqrt(832)))**2 + 4).\nAnswer: -2016*sqrt(13) + 244686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 1739469.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = 14. Suppose -o*h + 15 = 2*s, 4*h - 3 = h. Suppose -d = j - 0*d - 29, 5*d + 165 = s*j. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4329*y**2\/4 + 17295*y\/8 + 21\/4.\nAnswer: -3*(y - 2)*(2886*y + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 9 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*x - 175*x - 42*x**3 + 1 + 85*x + 7*x**2 to the form w*x**3 + y*x + d + h*x**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*l = -31, 6*l - 381 + 384 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*t + 3502 = -97*t - 4466 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -53*l**2 - 7*l + 14. Let y be u(2). Let v = -154 - y. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 = -4*s + 24, 2*r - 3 = 3*s. Let d = r - 5. What are the prime factors of ((-20)\/d)\/(-1 - -2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -23*q + 57. What are the prime factors of v(-14)?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 4*n**2 + 7*n - 6. Let s be k(5). Suppose 4*v + s = 12. Suppose 3 = -v*b + 3*b. Solve 20 = -b*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 10*p - 16. Let w be x(12). Let j = 0 - -1. Suppose 0 = 3*a + 4*s - j, s = 4*a + 4*s + w. Put a, 1, -2 in descending order.\nAnswer: 1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 12*l**2 + 6*l + 51. Is m(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - m**2 + m - 2. Let a be d(-2). Let r = a + 2. What is the units digit of 7 + r + -1 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 8. Let k be (n\/2)\/3*-14. Suppose 4*c - 13 = k. What is the smallest common multiple of 8 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 28913*u + 144567. Determine o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62620 or -3631999\/58?\nAnswer: -3631999\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 314.2843 milliseconds?\nAnswer: 314284300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 267520 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-152)\/57)\/(-1 + (-1)\/(-3)). Suppose 2*z = -k, 2*k - 3*z + u*z = 6. Which is the nearest to 0.1? (a) -5 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + ((-1)\/328)\/(((-75)\/(-4146))\/25). Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x + 8 = 0. Suppose 3*q + d = -3, 2*q + 428*d = 431*d - 35. Let z = 83\/3 + -28. Which is the closest to x? (a) -5 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(((-9)\/15)\/1). What is the derivative of 0 - z - 48*f - 7*f**2 + 48*f wrt f?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7067882, 7067889, 7067900, 7067915, 7067934, 7067957?\n\"Answer: 2*c**2 + c + 7067879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 102*f**2 - f - 14. Let j be x(-8). Suppose -j = -21*k + 15*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -185\/511056 and 181\/85176?\nAnswer: 511056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9990\/14*3\/6. Let l = -354 + c. What is the common denominator of ((-615)\/220)\/(12\/8) and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/3 + 40*s**2\/9 - 26*s\/3 - 112\/9 = 0.\nAnswer: -8, -1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 8600.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18762 or 25?\nAnswer: -18762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*d - 1025 = 0, 0 = -5*h - 27*d + 32*d + 5035. Does 52 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1171*o + 1175*o + 52 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 2*v**2)*(-29 - 4*v + 29) - 3*v - 11*v - 12*v**3 + 11*v**3 + 2 as c*v**2 + g*v**3 + q + f*v and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1708*l**3*q**3 - l**3 - 4*l**2*q + 320*l*q - 19*q**5 wrt q.\nAnswer: -10248*l**3*q - 380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a microgram in nanograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/360 - o**3\/2 + 3*o**2. Let x(q) be the first derivative of s(q). Let t(z) = -4*z. Calculate t(x(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 65 and 29108180.196.\nAnswer: 29108245.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -2 + 2 + 4. Suppose 0 = k*n - 3. Let u = 5 + n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 2*l. Suppose -3 = 3*b + 3. Calculate the lowest common multiple of r(b) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-5)\/(-28))*(-2)\/4. Let y(x) = x - 10. Let c be y(v). Let m(t) = t**3 - 3*t**2 - 6*t + 5. Calculate m(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 4*v - 22. Let w be a(-5). What is the second derivative of -11*p - 2*p + 30*p**4 - w*p**4 wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16126 is divided by 805.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 152*b - 6689. What is v(-35)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 9*c**2 + 68*c - 183. Determine j(6).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5851\/18 - -325. Which is the biggest value? (a) 0.1 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 + -17495.\nAnswer: -17494.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 12 = 2*f, -25*t + 6*f - 36 = -27*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*h)*(0*h + 0*h + 4*h) + (0*h - h - 5*h)*(3*h - h - h) + 2*h**2 - 2*h**2 - 2*h**2 to the form g*h**2 + i + t*h and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:04 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 995481186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sksskkkszssz. What is prob of picking 3 s and 1 k?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2037988.7 + -1727278.\nAnswer: -3765266.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(500) - sqrt(500)*-1) + -3 - sqrt(500)) + sqrt(500)*1*-3 + sqrt(500))**2.\nAnswer: 20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -23 + -3 - (-2 + 0). Let x be (-36)\/i - (-33)\/(-2). Let w = -17 - x. Which is the second biggest value? (a) -0.1 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*f = -6, -3*i + f + 6 = -i. Calculate the highest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2 + 74*q - 284. What is f(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 169123864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -277212?\nAnswer: 2\/69303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*m - 4*m + 54*m - 4*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 90 = -x. Suppose 4*s = s + x. Solve -4*u + s = -5*v - 14, -4 = v - u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {g: 1, w: 9, a: 4}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 535779 = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.262 times -63274?\nAnswer: -16577.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2008.3, 2\/7, 0.55?\nAnswer: -2008.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -s + 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3402639?\nAnswer: -3402641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4\/5 - 3*m**3\/5 + 18*m**2\/5 = 0. Calculate m.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a**(-1)\/a)))**(-11)\/(((a\/a**(-4))\/a)\/a**(2\/13)) assuming a is positive.\nAnswer: a**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1363851 seconds in hours?\nAnswer: 0.00003788475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99204 is divided by 1181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - (2 + -1))*4\/(-10). Let l be ((-22)\/4 + g)*(-140)\/3. Suppose 5*v - 12*v + l = 0. What is the greatest common divisor of 75 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1157900 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-10 - -15 - -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146.361 - 146. Let r = h + 0.019. What is the second biggest value in 3\/5, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9548, 38341, 86330, 153521, 239920?\n\"Answer: k**3 + 9592*k**2 + 10*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -18*h. What is b(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1946, 1949, 1952?\n\"Answer: 3*b + 1943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*t**2 - 2*t + 6*t**3 + 2*t**4 + 14*t**3 - 50*t**2 + 93*t**2 to p*t + y*t**4 + l*t**2 + j + g*t**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 25. Suppose 6*f - n*f + 96 = 0. Let t = f + 34. Solve -d - d = t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66895 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c - 1?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.009 + 3.009. What is the closest to c in -2\/5, -1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15)\/(x*x*x\/(x*x\/(x\/(x\/((x\/((x**0\/x*x)\/x))\/x)*x))))*x\/x**(-3\/5)*x\/x**6)\/(x**(-2)*x\/x**(-2))**(-11\/2) assuming x is positive.\nAnswer: x**(37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 4. Let n(q) = -q + 5. Suppose -14 + 1 = 2*c + 5*h, 3*c = -2*h + 8. Determine c*u(f) - 5*n(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 95*k + 0*k**2 + 6 - k**2 - 42*k - 46*k. Give v(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Let h = 5 - 2. Let t = 3.1 - h. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.001, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in 5, 3, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32512*r + 24966*r - 32332*r - 45727*r - 10858*r - 1198*r)*(2*r + 1 - 1) to g*r**2 + d + f*r and give g.\nAnswer: -195322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)*w**(5\/2)\/w)**(-16) assuming w is positive.\nAnswer: w**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 30615063 (base 7) to base 14\nAnswer: 4b08da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120368, -240655, -360940, -481223?\nAnswer: -601504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(242))*4*2 + 1)**2.\nAnswer: 11616*sqrt(2) + 63041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 + -5 + 11 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2883 = 5*v + 873. Suppose -613 = -5*k + v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27647 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*0.9.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -2. Sort -1, -0.4, r, 2 in descending order.\nAnswer: 2, -0.4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/(6*3\/9). Put 1, 5, z in increasing order.\nAnswer: 1, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 867 and 54?\nAnswer: 15606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {s: 1, v: 2, a: 1, x: 1, m: 1, f: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1409 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -104, -248, -498, -890, -1460, -2244?\nAnswer: -3278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44880 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/45137190 and 59\/1289634.\nAnswer: 45137190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26048035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -255, -266, -279, -294?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 642 - 615. Suppose -8*x = s*x - 2310. What is the remainder when 263 is divided by x?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 97, 2, 1656 in decreasing order.\nAnswer: 1656, 97, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -54*t - 269. List the prime factors of p(-26).\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00311696 to 6 dps.\nAnswer: 0.003117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4 - 404*z**3 + 348504*z**2 - 1389104*z + 1387456 = 0. What is z?\nAnswer: -532, 2, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3106802*o**4 + 2620039*o wrt o.\nAnswer: -37281624*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:45 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-62452)\/78*981\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*f - 39. Let t = f - 0. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**3 - 1. Let i be d(1). Suppose 0 = i*q + 2*l + 6, -2*q + 8 + 4 = -4*l. Solve 2*s = -8, -f + 3*s = -q*f - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-35000)*375*((-21)\/(-40))\/3?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(0 + 0 - c)*(-457*c + c**2 - c**3 + 0*c**2 + 458*c).\nAnswer: -2*c**4 + 2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -17*t**2. Let n(r) = -r + 4. Let o(b) = -7 + 7 - 1. Let s(l) = n(l) + 4*o(l). Determine s(z(h)).\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 3) + (-14 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*p**2 + 94*p**4 + 0*p**2 + 200 - 197 wrt p.\nAnswer: 376*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 81648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let q = 10 - 6. Let x = q + -7. Which is the biggest value? (a) x (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*h + m = 82*h, 0 = -74*h + 3*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 623 + -116. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*x - 17*x - 15*x - 19*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105062359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxs when three letters picked without replacement from {s: 1, h: 2, e: 2, x: 3, o: 4, g: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3))**1\/(m*(m*m**(-2\/7))\/m*m*m)**(-47))**(-2\/11) assuming m is positive.\nAnswer: m**(-5386\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 + 20 = 0. Let l be 11\/g - 3\/9. Let q = 16.5 - 17. What is the biggest value in q, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9208*i + 9205*i - 16 = -j, 5*i = 15*j + 11*j - 51 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.05 or -21?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1 + (6 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - (-330)\/(-45). Is 11 a factor of 6\/((-37)\/d + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16523*i**2 - 30242919 + 30242919.\nAnswer: 16523*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21174?\nAnswer: 2, 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418 by 1227627.\nAnswer: 418\/1227627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + sqrt(245)*-1 + 4 + sqrt(245))**2.\nAnswer: 56*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 99, 5, -2969 in increasing order.\nAnswer: -2969, -118, 5, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 715 and 1430?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, i: 1, e: 1, s: 1, d: 6, p: 1}. What is prob of sequence eis?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 11. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 8 = 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -33.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3318784 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5346381.7207669 - 5346381. Let n = -90.2808931 - q. Let h = n - -91. What is h rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 124527?\nAnswer: 124523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 3*d + 2. Determine u(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**4 - 37*v**3\/3 - 133*v**2. Calculate the remainder when ((-6)\/(-8))\/((-2)\/(-520)) is divided by p(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47909000 rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 149 in 0.5, -663, -0.014?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 4*x - 4*x**3 + 3031 - 1881 - x - 1622.\nAnswer: -4*x**3 - 472","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7011, 14060, 21109, 28158, 35207?\nAnswer: 42256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47239 - 47239 - 132*l to c*l + i and give c.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/15 - 242\/(-5). Suppose -d - 32 = p. Let v be 504\/16*d\/(-6). Round v to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 11, m: 5, g: 2}. What is prob of picking 2 c?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285 + 75. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*b - 4*z - 10889, -2*z - 6 = 0. What is b rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3cb22e (base 16) to base 3.\nAnswer: 21111002110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*i**2 - 21*i**3 + 23*i**3 + 1 - 115*i**2 to the form f + v*i**3 + n*i**2 + g*i and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -220.\nAnswer: -5280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -662.551 + 950.432. Let h = -288 + c. What is h rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190*d + 191*d - 570*d + 195*d + 4*t + 198, -4*t - 132 = 4*d for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60340 is divided by 20062?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43, -52, -49, -28, 17?\n\"Answer: v**3 - 16*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 527*y - 2092.\nAnswer: -(y - 523)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 13*s - 128. Solve 4*f = 5*b + s + 6, -3*b - 5*f + 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.5 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16531 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 12 + 12 - 23 - 4*g + 0*g + 3*g + 2*g - 2 + 2 + (g + 2*g - 5*g)*(-5 + 4 + 3) to u + d*g and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 15432?\nAnswer: 15430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 2135273.\nAnswer: 34164368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 + 4*d - 4*d)*(-3 - 4*d + d + 0*d + 25*d**2) in the form f*d**3 + p*d + h + y*d**4 + k*d**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -245 - -243. What is the closest to 4 in k, -2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*z - 12 = 4*z, 0 = 3*r - 4*z - 21. Suppose -5*g = -4*g + r, -2*n + 4*g = -18. Let o(h) = n - 3 + 2*h. Let w(b) = 2*b. Calculate o(w(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 12*q to the form d*q + a and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 2. Let u(k) = 2*k + 10. Let v(c) = 3*c + 18. Let w(f) = 7*u(f) - 4*v(f). Calculate 5*q(n) - 4*w(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -0.3 (c) 0.15 (d) -16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {q: 2, b: 1, c: 5, z: 1, v: 5, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*b - 28 = -g, -8 = -2*b. Solve -4*z + 2*u - 26 = 0, z + 13 = u + g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239215 is divided by 87.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1306 divide 129135027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*n - 11 = -2*n, 0 = -3*p + n - 8. Let v be 2\/(3 - (3 + -1)). Put v, -2, p in increasing order.\nAnswer: -2, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37d (base 15) to base 4\nAnswer: 30121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = 26*z + 12*z - 1921250. Does 25 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 884*b - 898*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 7*u + 7. Suppose -3*x + 18 = 5*s, 4*s + x - 20 = -0*x. What is the units digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 230\/24 + 16\/48 and (8 + (-1310)\/160)*(-18)\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15760315 + 0?\nAnswer: -15760315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-29)\/(-2))\/(6\/36). Suppose 2*a - x = -a. Calculate the remainder when a is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70615211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -741833, -741837, -741841, -741845?\n\"Answer: -4*j - 741829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 66. Suppose -4*d + 9 = -d. Let p = 1 + d. Calculate the smallest common multiple of u and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3 + 296334*h**2 - 21953163552*h - 43907512448 = 0.\nAnswer: -2, 148168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(7\/5)))\/s*(s\/(s*s**(-5\/3)*s))\/s*s*s\/(s**(2\/5)*s)*s*s**17 assuming s is positive.\nAnswer: s**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 30. Let n be x(-7). Suppose -3*m + 2*s + 224 = 0, n*s = 5*m - 2*s - 370. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 37*d**2 - 25*d - 1. Let c(h) = 5*h**3 + 72*h**2 - 52*h - 3. Calculate 3*c(k) - 7*i(k).\nAnswer: k**3 - 43*k**2 + 19*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48555 and 2790.\nAnswer: 3010410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1365243*n**2. Let y(r) = -r**2. Calculate y(o(i)).\nAnswer: -1863888449049*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**2 + 6*h**3 + 261*h - 9*h**3 + 336*h.\nAnswer: -3*h**3 - 15*h**2 + 597*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 3:37 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 12. Let w(c) = c**2 - 12*c - 7. Let y be w(13). Let o(j) = j**2 - 6*j - 2. Let h be o(y). Let z = h + 7. What is m(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**3 + 11*i**2 - 2*i + 1109.\nAnswer: 30*i + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (144\/(-126))\/((-1)\/7). Solve -5*m + 2*l + l + t = 0, -l = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 8*j)*(5 - 5 + 3*j**2 + (6*j**2 - 3*j**2 - 4*j**2)*(-1 + 1 - 2) + 9*j**2 - 16*j**2 + 19*j**2).\nAnswer: -136*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:44 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -107*c**2 - 23. Let x(b) = 116*b**2 + 21. Calculate -11*l(y) - 10*x(y).\nAnswer: 17*y**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -262 - -466. Let i = z - 95. List the prime factors of i.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 0*t = 70. Let g be (21 - t)\/(2*(-1)\/(-2)). Let c = g - 18. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 378. Suppose 5*b - 18 - o = 3*g, -2*b = -g - 57. Solve -f - 3*j = -7, -3*f + 3*j = -0*j + b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1118, -9093, -30748, -72923, -142458, -246193, -390968?\n\"Answer: -1140*n**3 + 5*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*r - 3*h, -45*r + 41*r - h = 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -6. What is the derivative of 0 + 3 + 1 - 2*o**3 + r wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 19*m - 97. What is t(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4 + 15*k**3 - 3*k**2 - 15*k = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/((-6)\/108). Suppose -5*s = n - 16, 5*s - t - 8 = n. Solve -n = -g + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 4*d - 9. Let p be t(7). Suppose -6 = -y + 2*i + i, -3*i = 2*y - p. Solve -y*o + 2*o + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a (base 12) to base 2\nAnswer: 1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7634*o + 1916*o + 1913*o + 1898*o + 1918*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6068 or -6413?\nAnswer: -6068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q + 2*x - 5822 = 0, 0 = q - x - 1934. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.525294 nanograms?\nAnswer: 0.000000000000007525294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 2*t**3\/57 - 6*t**2\/19 - 80*t\/19 + 436. Find v such that m(v) = 0.\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129453 is divided by 32358.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from pccp.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18144 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.3, 4, 0.2369?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1839 - 55 - 290 = -312*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 250\/6*(2 + -4). Let t = -84 - g. Let n = 17\/8 - 101\/40. Which is the closest to n? (a) -4 (b) t (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17387558611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/4 (b) 27 (c) 0.0079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4378 rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 1 (c) -5 (d) -182 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 1. Let x be v(1). Let y(f) = -2*f - 9. Let d(r) = r**2 - r. Let b(n) = d(n) - y(n). What is the units digit of b(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 + 6505*w**3 + 2119000*w**2 + 2112500*w = 0.\nAnswer: -650, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 3*g - 3*l, -g - 5*l + 14 = 46. Let y = g - -140\/3. Let i = 2.99 - -0.01. Which is the third smallest value? (a) i (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -158435*a**5 + 1588940*a**4 - 2105555*a**3 - 9446430*a**2 - 5428260*a + 165240 = 0.\nAnswer: -1, 918\/31687, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0*-96890\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713457.6 years to millennia.\nAnswer: 713.4576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -37 + 1 + 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1134 = s - u + 84, 2118 = 2*s + 4*u. What are the prime factors of 2 + s + 2 + (-4)\/(-2)?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 equal to -19693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7975137*b - 29262433 with respect to b.\nAnswer: 7975137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 - 70*g + 165 = 0. What is g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 267*h**2 + 499*h + 62022. Calculate d(-266).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7954697 and -1.\nAnswer: -7954698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7572.117 hours?\nAnswer: 45.072125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 756 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*b**2 + 13*b - 12*b - 66 + 16 - 27*b**2 wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 106\/435?\nAnswer: 106\/435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 1:16 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/6*3*-2. Suppose 5*j = 3*a + 11 + 9, 4*j + a + q = 0. Solve -6 = 5*g - j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -n + 4, -4*p + 6 = n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8586183, 34344710, 77275589, 137378820?\nAnswer: 214654403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -231.2 + -38\nAnswer: -269.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 1536*g**2 - 34314*g + 32780.\nAnswer: -2*(g - 745)*(g - 22)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323 (base 7) to base 12.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + 13 + 31 + (-2 - 43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 684 and 1404252?\nAnswer: 1404252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.23, 5\/3, 0.2, -427 in increasing order.\nAnswer: -427, -1.23, 0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 300287 + 1bb?\nAnswer: 300486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569213449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -267*w + 268*w - 42*w**2 + 114*w**2 as u*w**2 + a*w + i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 11278*w + 45*w + 188*w + 8411*w + 4518*w in the form u*w + f and give u.\nAnswer: 24440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 327*m**2. Let o(s) be the third derivative of s**4\/3 - 2*s**2 + 151*s + 4. Calculate o(c(i)).\nAnswer: 2616*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1600507 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/41590 and -62\/1185315.\nAnswer: 2370630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 - -422. What is the remainder when g is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*c - 34 = 3*c, 34 = 2*x + c. Let b be ((-2)\/4)\/((-1)\/6). Let j = x + b. Solve v - j = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgrtggtzgwrwzrg. Give prob of sequence wtg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*q + 2*b - 7 - 18, 8*b = 4*q - 68 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 825, 1560, 2295, 3030?\n\"Answer: 735*b + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 1831156414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 130*d**3 - 10*d**2 - 14*d + 95. Is t(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/8*-4*3\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 (base 7) in base 2?\nAnswer: -11111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 2*k - 73. Solve -3*o - 3 = k*d - 5, 5*o - 16 = -2*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose -17 - 11 = -3*g - u, -12 = -g - j*u. What is the remainder when (-7)\/210*-3 - 159\/(-10) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1273)\/(-6))\/(41\/492)?\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.8 (b) 0.2 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 490*b + 410*b + 82*b as m*b + l and give m.\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 27*c**2. Let q(r) = 395*r**2 - 100*r - 50. Let w(j) = -33*j**2 + 8*j + 4. Let b(g) = 2*q(g) + 25*w(g). What is m(b(l))?\nAnswer: 33075*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + y - 1. Let d be p(0). Let m = 2.63 + -2.43. Which is the nearest to d? (a) m (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3684734805?\nAnswer: 3, 5, 163, 229, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0.01119.\nAnswer: -7.01119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -30 (b) 1\/18 (c) 17 (d) -0.4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-1 - (-1996)\/18). Let x = -108 + k. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 823*c**2 + 4*c + 6 wrt c.\nAnswer: 1646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7374947ns to milliseconds.\nAnswer: 0.0000007374947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-48)\/3)*6*1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5981 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 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376 times -0.01?\nAnswer: -13.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20293917 divided by -3?\nAnswer: -6764639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 7*a - 57. Let u be k(5). Let h(v) = -14*v - 6. Let n(l) = -15*l - 6. Let b(o) = -5*h(o) + 4*n(o). What is the tens digit of b(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87136740 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 4*d**2 + 4*d + 3. Suppose -4*a = a + 5*c, c + 2 = -2*a. Let b be m(a). Solve j = -0*j + b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1496021 is divided by 708.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Suppose w*c = 3*q - 4, 0 = -5*c - 0*q + q - 5. What is the remainder when (4\/7)\/(c\/(-7)) + 11 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/6 + i**3\/2 - 2*i**2 - 2*i. Let g be b(-3). Suppose 10 = -5*y, -g*y - 26 = 2*c - 8. Is c at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690365 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: What is 2765 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: Is 32009101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.04 minus -2?\nAnswer: 20.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*w + 533 + 523 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/7))**6)**(-21)*((y*y\/((((y\/y**(-1\/5))\/y)\/y)\/y)*y*y)\/(y\/(y**5*y)))\/(y**(-1\/3))**(-45) assuming y is positive.\nAnswer: y**(-471\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 3245d?\nAnswer: 32460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 6*k**5 - 52*k**4 + 98*k**3 + 76*k**2 - 80*k = 0.\nAnswer: -1, 0, 2\/3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79694 (base 15) to base 16.\nAnswer: 5e4bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 76\/95*(-42)\/4*405\/(-189)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7166935 is divided by 1558.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(6\/11)*p)\/p)\/(p\/(p*((p**(-5\/4)*p*p*p)\/p)\/p)))\/(p*p**(2\/3)*p)**(-12) assuming p is positive.\nAnswer: p**(1421\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*t**(-1\/6)*(t**(2\/3))**(-18) assuming t is positive.\nAnswer: t**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9760823 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/(sqrt(10) - -3*sqrt(50)\/sqrt(5)))\/(sqrt(44)\/(-1*sqrt(400)))*3)**2.\nAnswer: 675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -52*g - 724. Give p(-6).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47465*j**2 + 70604 wrt j.\nAnswer: 94930*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 0.2, 3, -0.2 in descending order.\nAnswer: 8, 5, 3, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346612897.\nAnswer: 83, 233, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/8 not equal to 157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 1, g: 1, b: 1}. Give prob of picking 1 v, 1 b, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 196640, 196680, 196720?\n\"Answer: 40*v + 196600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/18)\/(2*-1))\/((-94)\/752)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015818?\nAnswer: 2, 3, 17, 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = 1. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2338 - -2337.7. Which is the second biggest value? (a) 29\/4 (b) 6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i. Let a = -11 - -5. Let p(x) = -9*x - 6. Let s(w) = 65. Let b(m) = -49. Let t(o) = 4*b(o) + 3*s(o). Let j(q) = a*t(q) + p(q). Calculate c(j(h)).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -87. Sort 1, -5, l in increasing order.\nAnswer: -5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 414\/25 or 16?\nAnswer: 414\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 + 37925*q**2 + 75865*q + 37935 = 0. Calculate q.\nAnswer: -1, 7587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n*n**(-4\/3)*n)\/n))**(11\/2)\/(n**0)**(-2\/7) assuming n is positive.\nAnswer: n**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 20*s**2 - 1\/70*s**5 + 1\/735*s**7 + 0 + 0*s**3 - 1\/210*s**6 + 0*s**4 + 0*s. Find l, given that j(l) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 1430273430?\nAnswer: -1430273427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -85*j**2 + 929*j - 9. Let i be k(10). Calculate the highest common factor of i and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39.15 + -0.85. Let n = 402 - 441.6. Let s = n - a. Sort -1\/3, -6\/13, s, -2\/15.\nAnswer: -6\/13, -1\/3, -2\/15, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {x: 1, q: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - 3*sqrt(160)*-2)*-4)\/(4*sqrt(500)*-4)*-3.\nAnswer: -21*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55920, 55834, 55716, 55566?\n\"Answer: -16*j**2 - 38*j + 55974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 910, 3616, 8126, 14440?\n\"Answer: 902*v**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 8.1 (c) 3 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1600 and 6840.\nAnswer: 273600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69138, 69141, 69144, 69147, 69150?\n\"Answer: 3*w + 69135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 242527761 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6631 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 < 224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(((-1*sqrt(52))\/sqrt(4))**2 - (sqrt(13) + 2 + 2*sqrt(13))**2) + (-3*sqrt(65)*6)\/(sqrt(320)*3).\nAnswer: 285*sqrt(13)\/4 + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a - 10951*a**2 - 13*a + a**3 + 23 + 35195*a**2.\nAnswer: a**3 + 24244*a**2 + 3*a + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 7*t = -63. Let v = t - 5. Suppose 5*j - 10 + 0 = 0. Solve 2*s = -j*l - 6, -v*l + 5 = -2*s + 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.1 (c) 56 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8817 + 0.1183. Let x be 44\/140 - 2\/(-7). Which is the nearest to 0? (a) x (b) 7\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from lss?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -5 + -1 - 1) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 1794*g + 569384. Give v(-412).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:43 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 7*u + 1. Let m be n(7). Let l be m\/((-1)\/(-7)) + -1. What is the remainder when -8*6\/(l\/(-2)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.181? (a) -1\/9 (b) -0.1 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 0 + 81*o - 96*o - 3*o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2*j - 10. Let b(k) = -k + 1. Let s(y) = 5*b(y) + m(y). Is 11 a factor of s(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*g**2*o**2 + 243359*g**2 - 10823022*o**2 wrt g?\nAnswer: 46*g*o**2 + 486718*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 5*v**2 + 7*v + 9. Give y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7104 and 19840?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/23 - -27\/46. Let m = -0.58 + 1.08. What is the nearest to p in m, -2\/3, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 8*s + 6. Let n be m(-5). Let p(y) = -n + 16 + 27 + 4*y - 5*y. Let b be -2 + (-3)\/(6\/(-10)). Determine p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/9*(-1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s - 20. Let w be d(-11). Let o = w - -144. Solve 2*c - 7 = 5*h, o*c - 9 = 2*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbbbzzzzbbb. What is prob of picking 1 b and 1 z?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose -25 = 5*v + 5*l, v + p*l - 7*l = 13. Let g = 1 - v. Solve 2*u + 6 = 5*u + g*z, -u - 4*z = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2645 + 62. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 239. Let q(r) = 3*r. Give n(q(k)).\nAnswer: 3*k + 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-4)*(-11)\/((-3619)\/141). Factor 183\/4*a**2 + b*a**4 - 63\/4*a - 147\/2 - 45\/4*a**3.\nAnswer: 3*(a - 7)**2*(a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(-m + 3*m + 0*m) - 46 - 7*m + 46 - 4 - 3*m + 4 + (-4*m + 5*m + m)*(-4 + 0 + 2).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 380927, 380908, 380853, 380744, 380563, 380292?\n\"Answer: -3*i**3 + 2*i + 380928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v, -4*y + 0*v = 5*v - 12. Suppose 3*l - y*i - 6 = 0, 5*l + 4*i - 4 - 33 = 0. What is l rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150.6 + 151. Let b = 0.59 - -0.01. Let h = b + -4.6. What is the second smallest value in q, h, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from xvcxvzvazwz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3*i - g**3*x**3 - 14*g**3 + 14*i*x**3 wrt i.\nAnswer: -2*g**3 + 14*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and 5502132?\nAnswer: 5502132.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 + 17*p + 65. What is i(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 11451160?\nAnswer: 11451163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x. Let q(y) = 256*y + 96. Let w(m) = 27*m + 10. Suppose 5*a = i + 241, -2*a - a + 146 = -2*i. Let v(g) = a*w(g) - 5*q(g). Give v(d(l)).\nAnswer: 112*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70427\/48 + -4402\/3. Which is the closest to -0.1? (a) -5 (b) -2\/3 (c) 1\/6 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 11781693.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25*1\/((-5)\/6). Let v = -17 - y. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1532639088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/940 and -83\/3948.\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 + 6*b + 3. Let n(c) = 3*c**2 + 0 + 14*c**2 - 17*c - 8. Let t(k) = 4*n(k) + 11*s(k). Does 13 divide t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k - 7*k + 7*k - 6*k. Let y(d) = -2*d. Calculate 2*q(z) - 11*y(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 1162307.\nAnswer: 1162307.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4566165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 6935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + 5 + (-5 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*z - 6*z + 95 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 - 443*y + 272. Give l(88).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6692777946 - 3.\nAnswer: 6692777943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**15\/(x\/(x\/x**11))*(x\/((x**(-12)\/x)\/x))\/(x*x**(9\/5)) assuming x is positive.\nAnswer: x**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -2010?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/15 - 2 - 32\/(-20). Solve 2 = d - m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1, -55.\nAnswer: -55, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**3 + 2*j - 1. Let d be p(1). Suppose -616 = -10*a + d*a. Suppose 0*k = 4*k - y - 308, 4*k + 5*y - a = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:00 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from nqnnajanlnqjl?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1064 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1 (c) 64 (d) 0.012 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 12) to base 14.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*h**5 - 4 + (-2 - 2 + 6)*(-3*h**5 + 3*h**5 + 2*h**5) + 4*h - 4*h - 4*h**5.\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14693*q**3 - q**2 - 6*q + 267 wrt q.\nAnswer: -88158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, j: 7, n: 1, p: 1}. Give prob of picking 2 j, 1 h, and 1 n.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 4*b - 1. Let h be s(-3). Find the second derivative of -10*d**2 - 31*d**2 + 21*d**h + 2*d wrt d.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 69. Let g = 7 - 9. Let v be g + 2\/(-8)*-7. What is the third smallest value in k, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -2\/15 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v - 13. Let k be w(16). Let c = k - -143. Let j(y) = -3 + 4 + y**2 - 3*y + 2. What is j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 15 = -19. Suppose r = 3*i + 6*r + 2, -3*i + 26 = -g*r. Solve -4*u = -3*j, i*j = 2*u + 3*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-6)\/5) + (-2)\/10. Sort z, -6, 1 in decreasing order.\nAnswer: 1, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - o - 3*o)*(1089 - 606 - 1109) + 3*o - 3*o - 3 + 2*o as m + b*o and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -13*f**6\/120 + 23*f**4\/24 + 39*f**2. What is the second derivative of w(t) wrt t?\nAnswer: -78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 865025.7m?\nAnswer: 865025700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-8)\/(224\/1449). Let a = 1163\/4 - 294. Let m = a - p. Find the common denominator of m and -125\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013\/77*-1 + (-12)\/14 - 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:54 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.33 and -0.8179.\nAnswer: -0.269907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 705884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/36 and -27\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 10. Let f(g) = 3*g - 11. What is -5*f(z) + 6*j(z)?\nAnswer: -21*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.72 + 2.64. Let b = h + -3.86. Round b to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 9*i**2 - i - 6. Let m be n(-6). Let j = m + 375. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -107368.\nAnswer: 3\/53684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*a + 167 + 67 = 65*a for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42176 divided by 21088.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-315)\/(-1512) + ((-2)\/((-16)\/3))\/3. What is the closest to -0.1 in 7, p, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1789 - -10985?\nAnswer: 12774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l - l)*(878*l - 1207*l + 3 - 1).\nAnswer: 658*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*y + 118, 3*v + 0*v = 5*y + 125. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 + 3*j - 2. Calculate k(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 7*m**2 - 1 + 2*m**2. Determine d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 948, 1896, 2818, 3702, 4536, 5308, 6006, 6618?\nAnswer: 7132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1737265, 6948691, 15634405, 27794401, 43428673, 62537215, 85120021, 111177085?\nAnswer: 140708401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.27 - -55. Let s = c + -0.23. Put -1\/4, s, 2\/7 in descending order.\nAnswer: 2\/7, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -5, 6, 142, -397.\nAnswer: -397, -5, -4, -1, 6, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94a (base 12) in base 13?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g - 3*s - 215, g + 2*s = -217. Let d be (g\/(-1) - -1)\/((-3)\/(-8)). Calculate the highest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let o = z + 0. Let m(b) = 1 - 2 + 2*b**o + 1. Let t(f) = -2*f**2. What is m(t(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4 + 1. Suppose -15 = s*y, 0*w = -2*w + 3*y + 15. Let q be (6 - 6)\/(w + -2). Solve 3*t = 5*v - 6, -v + q = t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 33\/80*p**5 + 2\/35*p**7 + 7\/8*p**4 + 0*p - 7\/20*p**6 + 1\/2*p**3 + 0 - 5*p**2. What is i in h(i) = 0?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2136 = 2*u, -2*u + 122*y + 2132 = 127*y. Calculate the greatest common factor of u and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6309 + -6205. Calculate the lowest common multiple of 80 and v.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12371 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 72 is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 2*h - 3*h. Let y(j) = j**3 - 3*j**2 - 12*j + 12. Let v be y(5). Let s(a) = -6*a**2 + 37*a**2 - 11*a**v - 15*a**2. Give s(z(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhxhhghxxxgxhxxxh. What is prob of sequence xh?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -16. Suppose -m*p + 91 = -64. What is the remainder when p is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 25 = -3*v, -39 = -o - 3*v. Let d = -17 + o. Differentiate -5*i**4 + d - 64*i + 64*i wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = v + 5*n, 0 = -4*v - 703*n + 707*n - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 31 = -5*d, -d - 28 = -5*d + 4*s. Suppose -84 = -f - d*f. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*f, 21*f = 18*f - 5*b + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 484 + -226. List the prime factors of c.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 5. Let l = 89 + -181. Let p = -85 - l. Suppose -9 = 3*z - 3*x, 9 = z + p*x - 12*x. Calculate s(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + ((-5)\/5)\/(1\/32601). Suppose -4*w - 88 = -284. Is 2 - (l\/w - (-3)\/7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 179?\nAnswer: 4\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -33*z + 504. Determine t(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 4766750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 (base 14) in base 5?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -544, -509, -474, -439?\n\"Answer: 35*f - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690 a factor of 717759250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + -2))*-4)**2 + -5 + sqrt(4)\/sqrt(2).\nAnswer: sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -36*k**5 - 16*k**4 + 40*k**3 - 36*k + 16. Let m(x) = 7*x**5 + 3*x**4 - 8*x**3 + 7*x - 3. Let a(l) = 16*m(l) + 3*s(l). Factor a(p).\nAnswer: 4*p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640 divided by 4?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1772467, 3544909, 5317351, 7089793, 8862235?\nAnswer: 10634677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-26)\/12)\/((-3)\/9). Solve -h*o**4 + 1\/4*o**5 + 0*o**2 + 0 + 1\/4*o**3 + 0*o = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 - 221. Let b(o) be the first derivative of o**3\/3 - o**2\/2 - 7*o + 1. Calculate the remainder when b(i) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 21570?\nAnswer: 21570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-2) - (-1)\/2. Let n = -11 + 7. Let k = n + 7. Solve 0 = -z*m + k*m + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/1)\/(1\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {e: 1, t: 1, n: 9, v: 3}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.062 - -8.362. Let p = 8.3000033 - c. What is p rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:10 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Suppose -30 = -11*t + 6*t. Suppose -3*m - 5*y = -26, 3*m = -2*y + t + 8. Solve 0*g + j = -m*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9*g + 85 = 0. Let q = 20 - g. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 0.4 (b) -0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**3 + 2*b + 1. Let q be d(-1). Suppose 0 = q*p - p - 25. Solve 3*u = 5*o - u - 20, -p*o + 5*u + 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 3*f = 6*m - 1, 4*m - 2*f = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*h. Suppose -5*d = -j - j + 33, 2*j + 2*d + 2 = h. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 13 - ((2 - 1) + 0 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/3 (c) 3.5 (d) -3 (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 3*k - 18, -254*j - 4*k = -259*j + 38 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-19)\/2)\/(49\/(-98)). Suppose -2*o + 2*f + n = o, -3*o - 3*f = 6. Solve 0*c = o*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*j = -5*j + 18, j - 16 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18372953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 - 2*h - 2. Calculate f(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l - 31927*l**3 + 31920*l**3 + 11*l - 7 - 8*l**2. Let a(v) = -3*v**3 - 4*v**2 + v - 3. Calculate 5*a(o) - 2*y(o).\nAnswer: -o**3 - 4*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:03 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1698.900646 - 2\nAnswer: -1700.900646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 3*d**4\/4 + d**3 + 27. Factor z(j).\nAnswer: 3*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/(b\/b**(2\/11)))**13 assuming b is positive.\nAnswer: b**(-91\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-31)\/(-3) + (10 - (-140)\/(-15)). Solve -2*o - 19 = 5*g, 4*o - h = g + 2*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 3 - 2*n**2 + 39*n - 36*n. Let z be v(-2). Solve -z + 9 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b = 29*b - 117 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5\/7 + 130*g**4\/7 + 2294*g**3\/7 + 5758*g**2\/7 - 496*g\/7 - 7688\/7 = 0.\nAnswer: -31, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.598484 rounded to 3 dps?\nAnswer: -1.598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40808.47 rounded to the nearest 10?\nAnswer: 40810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1656.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 533*z**2 - 526*z**3 + 1041*z**2 - 508*z**2.\nAnswer: -526*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.233 (b) -1 (c) 2 (d) 35 (e) 1\/4 (f) -0.3 (g) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94817 and 534911?\nAnswer: 28350283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*l + 2*l - 20, 17 = 4*u - l. Let v be (88\/u)\/((-20)\/(-100)). What is the greatest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 4*o**2 + 28*o - 8. Is 19 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2111*x + 618*x - 483*x to the form n + q*x and give q.\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-36)\/5)\/(-3))\/(1\/5). Let n(o) = -h + 10 + 2*o + 5. Determine n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -425431*b + 1276327. Calculate n(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2*p**3\/27 + 80*p**2\/3 + 482*p\/9 + 2167. Find f such that a(f) = 0.\nAnswer: -1, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -6. What is the remainder when 25 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 + 3*x + 13. Let s be d(-3). Suppose -8*r + s = -r. Solve 3*q - m + r = -0, 0 = 4*q + 4*m + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-2 - -2) + (-90 - -17) + 40 + 129?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15 - 6)\/(-2 - -3). Solve 23 = 2*t + 5*u, u + n = 4*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 7*p**5\/20 - 4*p**3\/3 + 4*p**2 - p + 1268. Let x(b) = b**3 - b + 1. Calculate -3*g(w) + 24*x(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -9*c - 3. Let j be n(-2). Let z be ((-10)\/j)\/((-2)\/15). Solve q - 8 = z*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/51)*y\/(y\/(y\/(y*y*y**(7\/4)\/y*y))) assuming y is positive.\nAnswer: y**(-565\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(7) - 5*sqrt(63)) + (sqrt(700) - -2*sqrt(700)))**2.\nAnswer: 8960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318 + -312. Let p = -2 - -13. Let s = p - t. Solve 6 = u + s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78694.14ml in litres?\nAnswer: 78.69414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-3)\/(-2))*0. Let p = -18 + 20. Suppose l*t + 2*t - 4*a - 18 = 0, -2*t = 4*a - p. Solve 0 = o - 6*o - 4*i + 2, 3*o + t*i - 9 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168 - -146.3. Let g = -21.699285 - t. Round g to 5 decimal places.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 9*q + 8. Let i be p(6). Let h(t) = 3*t**2 - 32*t - 88. Let z be h(13). Let n be (-4 + z)*-5*(-30)\/50. Sort -4, n, -1, i in descending order.\nAnswer: -1, n, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1767037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-34))**(-6\/17))**(4\/13) assuming h is positive.\nAnswer: h**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31454676 divided by -10484892?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5, -2*a - 4*d = -a + 22. Is 6 a factor of (1*a)\/(5\/(-55))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7578 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.645 rounded to one decimal place?\nAnswer: -54.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21369577*i**3 + 22532*i**2 + 7*i wrt i?\nAnswer: -128217462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 6:19 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 126102320 and -0.3.\nAnswer: -37830696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -22?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121 + 123. Solve -2*m - 3 = -4*m + 3*l, j = -m - 2*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -3\/11 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 303)*1124\/(-7306)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2871752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xomromo. Give prob of picking 2 m and 2 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631612430 rounded to the nearest 1000000?\nAnswer: -1632000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 1211200?\nAnswer: 1211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2. Let k be 3*(4\/3 + -1). Let b be ((-6)\/(-8))\/(15\/20). Let z(o) = 2*o + k - 2 + b. Give g(z(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*z + z - 9 = 0, 3*n - z - 21 = 0. Suppose -5*q + 44 = -n. What is the highest common divisor of q and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m - 16 - 9*m + 15*m in the form w + b*m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3078*o - 3*o**2 + 3*o**2 - 3073*o + 5 - o**2. What is t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6, -30 + 3 = -u + 3*b. Calculate the remainder when 3993 is divided by u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from zzzffzz.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (55 - 89) - (28 + -2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.3 (b) 21 (c) -4 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -1\/8, 0.2, 69\/17 in decreasing order.\nAnswer: 69\/17, 0.2, -0.06, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-7))\/((-8)\/(-14)). Let k = -142 - -140.8. Which is the third smallest value? (a) -0.4 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -112, -116, -104, -64, 16, 148, 344, 616?\n\"Answer: 2*o**3 - 4*o**2 - 6*o - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - 2*b**2 + 9*b**2 - 1 - 1 - b**3 to the form m + r*b**2 + l*b**3 + q*b and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31396 + 15841 + 16033)*(6*u + 2*u - 5*u).\nAnswer: 1434*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2\/21, 1\/6, 1, 0 in decreasing order.\nAnswer: 1, 1\/6, 0, -2\/21, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/120*((-16)\/3 - -2)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 5*r**2 - 5*r. Let f be c(-2). What is the tens digit of f*(-2)\/(-14) - 19432\/(-98)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3017.0975 - -2617?\nAnswer: -400.0975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5171*a**3 + 15517*a**3 + 100*a - 5185*a**3 - 5159*a**3.\nAnswer: 2*a**3 + 100*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 57 = 3. Suppose 0 = 3*j + 3*c - 9, -o = -0*j - 5*j + c. Is 2 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 5:29 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27879764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 35. Let k be r(16). Let n be (k - 175\/28) + (1 - -3). Factor n - 1\/2*f - 1\/4*f**2.\nAnswer: -(f - 1)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:32 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3577396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116012*d**6*o + 8*d**6 - 24*d**2*o + 3*d**2 - 11*d*o - 6*d + o wrt d.\nAnswer: -13921440*d**3*o + 960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*s - 3*c, 2926*s - 4*c = 2933*s - 96 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j**3 + 5*j - 5. Suppose 14 = -14*v + 98. Let a(x) = 14*x**3 + 6*x - 6. Calculate v*o(z) - 5*a(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c8 - -4?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -602107, 5, 4.\nAnswer: -602107, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298*l**2*x**2 + 3*l**2*x - l*x**2 + 1206*l*x + 2*l - 83*x**2 + x wrt x.\nAnswer: 596*l**2 - 2*l - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + 12431?\nAnswer: 12341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.027 - 0.373. What is the closest to -0.1 in -1\/2, 2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = 0. Solve 4*y + s = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -29. Suppose r = -b + 68. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**(-1\/3)*p*(p\/(p*p**1*p))\/p*p*p*p**2*p*p\/p**(-3))**(-2\/13) assuming p is positive.\nAnswer: p**(-62\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/30 - 2*i**4\/3 + 16*i**3\/3 - i**2\/2 + i. Let j(o) be the first derivative of a(o). What is l in j(l) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503851959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 147937141999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 + -112. Suppose 5*k = -9 + 14. Sort u, k, 5, -5 in decreasing order.\nAnswer: u, 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35226*l - 35491*l - 5035 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/88 and -13\/31298.\nAnswer: 1377112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-363)\/(-396)*-4*(-6)\/627.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, a: 2, e: 2, p: 2}. Give prob of sequence ewpw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdekp. What is prob of picking 1 d and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 83 + -4529?\nAnswer: -4486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 - 2*q + 4. Let p be n(5). Let g(i) = i**2 + 6*i. Let j be g(p). Suppose z + 3*a = j, z + a = -2*z. Solve z = -c - 3*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*k + 6, -2*t - 4*k = 2*t - 12. Suppose -20 = -5*p, -5*j - p + 2*p + 16 = 0. Calculate the remainder when j is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11155918 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 63) + (0 - 3 - (37 - 103 - -60))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 34 - 16. Solve o - s = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-462)\/1694*11\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/6 - a. Let w(i) = 27*i - 5*i**2 - i**2 - 27*i. Give s(w(r)).\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1318, -1324, -1330, -1336, -1342?\nAnswer: -1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 392804117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1555*c - 59148 = -6278 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(504)\/sqrt(8) - (4*1*sqrt(7))**2.\nAnswer: -112 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v*v**(-2)*v)\/v)\/(v*v*(v*v*v*v\/(v*v**(1\/3)*v)*v)\/v*v))**(15\/7)*(v**(-5)\/v**(3\/2))**(-2\/51) assuming v is positive.\nAnswer: v**(-2714\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-243)\/1053)\/((-1)\/7674) + (-1)\/(-13). Calculate the greatest common divisor of l and 847.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 162*n**2 - 119*n + 0*n**3 - 5*n**3 + 119*n to v*n**3 + z*n**2 + c + u*n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 918.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**3\/6 - 9*f**2\/2 + 4*f. What is y(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3 + 2 + 3)*(-5352*q + 9744*q - 8821*q) to the form d*q + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*b - 1054*b + 81926 = 0 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110011 (base 2) in base 13?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + 27*q + 24. Let v be r(9). Solve v - 21 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f\/(f*f**(-5)*f))\/f*f)*f*f**(1\/2))\/(f**(1\/2))**(39\/5)*(f**(2\/7)\/f)**(-11)\/(f**(2\/7))**(-4) assuming f is positive.\nAnswer: f**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(8\/6))\/(-3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/8))\/m)\/m**(-3\/2)*(m**(-1)\/m)**(-7\/6) assuming m is positive.\nAnswer: m**(95\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 5:04 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1032423, -2064853, -3097287, -4129725?\nAnswer: -5162167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -u + 4, -2 = -z + 2*z - u. Let k(o) = 6*o**2 + o. Let i be k(-1). Let q(t) = -t**3 + t**2 - 1. Let j be q(0). Put z, 4, i, j in ascending order.\nAnswer: j, z, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - -2*sqrt(832)*-3)*-6.\nAnswer: 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29332*l**2 + 29332*l**2 - 42*l**3 - 16*l**3.\nAnswer: -58*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(((-3)\/(-1))\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a week?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/7 - (-17)\/7. Calculate the greatest common divisor of 27 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.6 from -1323628479.\nAnswer: -1323628493.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3)*(-68136)\/(-10688)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a = -192 - 48 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*r - 40045, -2*q = 5*r - 28005 - 72108. What is the thousands digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9336*j - 46514. Calculate m(-5).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8000302.\nAnswer: 2, 17, 167, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8168655 is divided by 1663.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w + 25*w - 7*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 15*v + 446. Let i be l(30). Let o(f) = -f - 7. Give o(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 4a6e1?\nAnswer: -4a6e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*g**3 + 20 - 70 - 268*g**3 - 2*g**2.\nAnswer: 10*g**3 - 2*g**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + z**2 + 3*z + 1. Let h be a(-2). Let p = h + -13. Calculate the smallest common multiple of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 25 = 5*c, -35*c = x - 36*c - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 15 - 26 + j + (-1 - 1 + 0)*(-4*j + j + j) - j - 2*j + 2*j in the form v + f*j and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 + 0.14. Which is smaller: -0.3 or m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47998 is divided by 23986?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3 + 1674*n**2 - 19859*n - 141270 = 0?\nAnswer: -5, 17, 1662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276001*l + 552320*l - 275418*l.\nAnswer: 901*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 w when four letters picked without replacement from wmwwwwmwwmmwwwwwmmw?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Let c = 3 + q. Let n(k) = -2*k**3 - 2*k**2 + 4*k + 2. Let y be n(-3). Solve -c*b - y = -1, o - 3*b - 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2063)\/(-9) - 1) + 72\/(-324). What is the greatest common divisor of 57 and z?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2756, 9498, 20726, 36434, 56616?\nAnswer: 81266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/256 and 31\/64.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from {j: 1, x: 3, g: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 2*w + w)*(-5*w + 3*w + 4*w) + (-w + 3*w - w)*(6*w - 3*w - 2*w) + 0*w**2 + 3*w**2 - 2*w**2 to r*w**2 + y*w + j and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70149 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6851, 0, -2, -4\/5 in decreasing order.\nAnswer: 0, -4\/5, -2, -6851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from ccuuyuuucbscbcu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o + 4*o - 5*o - 2*o**2 - 5*o**2 + 1. Let h(i) = -6*i**2 - 5*i + 1. Let n(z) = 8*z - 75. Let m be n(10). What is m*a(s) - 6*h(s)?\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 - 1558 - (-2 + -49)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-63) - (-4352)\/14. Is -1 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/12 + 20*q**3\/3 - 3*q**2 + 52*q. Determine r(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1302 and 108745867043?\nAnswer: 108745865741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 615097 - 267324. What is v rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -580, -1308, -2356, -3730, -5436, -7480?\nAnswer: -9868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 14 - (-9 + 12 - 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z - z**2 - 9*z + 20*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 6. Let p be r(-11). Calculate the highest common factor of p and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*k - 5119 + 5119)*(k**2 - k**2 - 2*k**2).\nAnswer: 136*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 13*n - 26. Let a be d(-9). Let f(z) = z**2 - z. Let y(p) = -15*p**3 + 10*p**2 - 10*p. What is a*f(o) - y(o)?\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*a**3 + 4 - 1 - 10*a + 4 + 1559*a**3.\nAnswer: 1125*a**3 - 10*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 414109.2 + 8.45.\nAnswer: 414117.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342905, -1, -12.\nAnswer: -12, -1, 342905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*y + 30761 = 0, 2*f - 20*y = -19*y + 12308. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) -3 (c) 2\/11 (d) -2.1 (e) 1\/7 (f) 1.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -36 + -1 - -79 - (1 + 15).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14289 + -14232. What is the remainder when 1299 is divided by q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {n: 2, x: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5463?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-4*15\/(-20). Solve 0 = -4*t + 2*c - 5*c + 8, 5*t - s*c = -17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144044 is divided by 81?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -145*d**3 - 2341740*d**2 + 145907380*d - 10051440 = 0. What is d?\nAnswer: -16212, 2\/29, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 477 - 476. What is the biggest value in 7\/5, -0.3, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.0622.\nAnswer: 0.2488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554571 divided by 9.\nAnswer: 61619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 26*h - 49. Let p be f(2). Solve 29 = 5*r - 4*q, -3*q + 14 - 2 = p*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 62)*(210 + 9*l**3 - 210)*(0 + 2*l + 0).\nAnswer: 1134*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 86 + 46. Suppose -154394850 + 396394850 = h*i. What is i rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t = 2*p - 2, t - 3*p = 18. Differentiate 4 - z**3 + 2*z**t + z**3 + 5 with respect to z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 822 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261*u**3 + 13219806 - 13219800 + u**2 - 4*u**2 to the form n*u**2 + r*u + d*u**3 + p and give d.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 6. Let m(r) = -r**2 + 7. Let h be 9 - (-5 + -2 + 12 + 0). Suppose -19*i = -24*i + 2*l + 32, 4*i + h*l - 20 = 0. Determine i*m(o) + 7*t(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1866697.24+-5.2\nAnswer: 1866692.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) + -1) + (sqrt(18))**2*6 - (sqrt(2) - (4 + -2*sqrt(2))**2 - (sqrt(288) + 0 + sqrt(288))**2))*-2*5.\nAnswer: -12850 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -9*n + 71. Let w = -26 + n. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -9*y**5\/20 + 20*y**2 - 54*y. Give i(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - o\/2.\nAnswer: o*(8*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, b: 1, p: 1, e: 1, u: 1}. Give prob of sequence ubpe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a gram in milligrams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 71?\nAnswer: 20\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 231206258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + u + 7. Let m be -5*(-1)\/(3\/(-3)). Let l(j) = -3*j**2 + 3*j + 13. Let p(o) = m*y(o) + 3*l(o). Solve p(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)*(-18 + 6). Let x = 13 - d. Calculate the highest common factor of 9 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 1. Let b(x) = 5*x**2 + x - 6. Let m be b(n). Let a = 245 - m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 100. Solve -39 = l*x - 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98.02 - 97. Let l = m + -0.02. Let p = 3 + -3.4. Which is the third biggest value? (a) p (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(24\/16)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24737 - 6504 - 893 = 2263*a + 1811 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15171 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k + 7. Let j(o) = 5*o - 6. Let d(g) = 383 - 4*g - g**2 + 26*g - 332. Let h be d(24). Calculate h*y(p) + 4*j(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 5*l**2 + 26*l - 58. Let p be f(3). Let v(i) = 12*i**2 - 3*i + 1. Determine v(p).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -627666293 rounded to the nearest one million?\nAnswer: -628000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 t when four letters picked without replacement from tzzztz?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:55 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 10:58 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 + 0*k**3 + 0*k**3 - 10 - 2*k**3 to x + d*k**2 + o*k**3 + v*k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3170 - 3836 = -226*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 37 - 41 - 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 = -6*h - 663. Solve 694*p**h - 692*p**2 - 19*p - 4*p - 11*p + 8*p = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -20 + c + 15 + 17. Let o be b(-10). Suppose -6*w = o*w - 112. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 26. Let a be (-40)\/12*(-18)\/u. Solve 5*k = -a*i - 17 + 7, 5*k + 3 = 2*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**6\/9 - 4*f**5\/15 + 4*f**3\/9 - f**2\/3 - 2. Factor u(n).\nAnswer: 2*n*(n - 1)**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*w**4 - 14*w**3 - 198*w**2 wrt w?\nAnswer: 96*w - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -6*(-3*sqrt(1377) + 4)))**2.\nAnswer: -234900*sqrt(17) + 11174725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 26. Let v be -2 + 4 - (2 + -2). Calculate the remainder when m is divided by (-20)\/1*(-1)\/v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0026 - 151324980164\nAnswer: -151324980164.0026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -859.7099 to one decimal place.\nAnswer: -859.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*y + 118*y + 5 - 5 - y**2 to r*y**2 + g + j*y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 35*j - 78. Let m be k(-2). Let p(t) = -t + 5. Let n be p(-3). Suppose m*h = n*h - 576. What is the greatest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145177\/18 + 8068. Find the common denominator of t and 119\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 56*p**2 + 35*p**2 + 26*p**2 + (-2*p - 3*p + 6*p)*(0 - 3*p + 0).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-23)\/(-3) + 16\/(-24) and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13642*s**3 + 18*s**2 - 49*s + 11. Is l(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529787 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 13 = -3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208542857?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 25*v + 21. Let c(o) = 26*o + 21. Let t(b) = -4*c(b) + 3*i(b). Let f(d) = 10*d + 7. Let q(j) = 11*f(j) + 4*t(j). Differentiate q(u) with respect to u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*6\/30*-22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -63, -205, -519, -1071, -1927, -3153, -4815?\nAnswer: -6979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n - 8. Let g(b) = -2*b + 16 + 3*b + 6. Let x be g(-17). Is d(x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1aaa77f + -2?\nAnswer: -1aaa781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 103513 - 5?\nAnswer: 103509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*10\/60 + (-4)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 245 + -244.794. Let g = -0.2060426 + m. What is g rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 - 22?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**3\/3 - 4*o**2 - 24*o + 2. What is the units digit of q(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2925 - -4125. Calculate the least common multiple of j and 2700.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 151. Let s = -44 - d. Which is the second biggest value? (a) -5 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 - 5*c - 1. Let u be y(4). Suppose h = 3*h. Suppose -3*s + h + 6 = 0. Sort s, u, 5 in decreasing order.\nAnswer: 5, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, and 2 i when four letters picked without replacement from gptiipggg?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r**(-18)\/r)\/r)))\/r**(-6)*((r**(-4\/11)\/r)\/r)\/(r*r\/(r\/(r*r**(-3\/16)*r))*r))**42 assuming r is positive.\nAnswer: r**(-74571\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3766 - -3766. Solve 41*y - 35*y - 36 = z for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(300) + sqrt(300) + sqrt(300)*5 + sqrt(300)).\nAnswer: sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*p = 1295, 5*p + 579 = -2*w + 61. Is w greater than or equal to -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53b (base 12) to base 4\nAnswer: 23333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103769 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18582 - 0?\nAnswer: -18582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - 3\/9*3. Let d = -43 + 46. Suppose -d*n + 97 = 106. Put n, 1, o in ascending order.\nAnswer: o, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045757\/15 - -1 - (-2)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {w: 2, k: 4, z: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - g**2 + 7*g. Let a be o(-3). Let k = 19 - a. Let u(v) = -3*v - 9. Let s be u(k). Solve 0 = i + 4*f + 15, s*f - 2*f + 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 + 3052\/(-42) + 36)\/(0 + 4\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101111100 - -11?\nAnswer: 1110101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 136 + 71 + -122?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-10) - -3561*2\/10. Let a = 1066 - c. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.5? (a) 291 (b) 0.4 (c) 5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(11))**2 + 5 + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idiiwsiiwdxiitid. What is prob of picking 1 w and 2 d?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 18\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 60\/(-6) + -6 - 16.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19488 minus -350.47?\nAnswer: 19838.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/35*189\/(-18))\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 117 + 56 + 17 + 2*m**3 - 26 as z + u*m**2 + x*m**3 + b*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 2*t - 334. Let n be -18*((-2)\/(-8))\/((-4)\/8). Suppose -n*u + 3*u = -t. What is the remainder when 59 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 1*sqrt(171))*2)\/(sqrt(144)\/sqrt(4))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 4*q**2 + 9*q + 4. Let f(y) = 4*y**3 + 9*y**2 - 19*y - 8. Let w(u) = 3*f(u) + 7*r(u). Is w(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-288398)\/(-253) - 8\/(-92) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t. Let o(f) = -4194*f. Give o(s(v)).\nAnswer: -79686*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 26 = 4*r - 0*d, 5*r - 4*d = 13. Suppose -4 = r*y - 9. Solve -y + 3 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(-8))**(3\/7) assuming o is positive.\nAnswer: o**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 536290*h**5 + h**3 + 112833*h**2 wrt h?\nAnswer: 32177400*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*h, -8 = 3*m + 5*h + 11. Let q = 3 + m. What is the units digit of (8 + -5)\/(q + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 2*i - 4. Let b be a(4). Suppose n = b*h - n - 34182, -h + 8558 = -3*n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 2*a + a. Let b(t) = t. Give b(c(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 5*k**2 + 4*k + 2. Let d be a(4). Suppose -3*v = d*v - 25. What is g in 0*g**3 + g**4 - 2*g**2 - g**3 + g**v + g**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/6 + 75211*t**2\/6 - 707519080*t\/3 + 16253051614\/3.\nAnswer: -(t - 37594)**2*(t - 23)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 5, 2.7, 87.1, 1?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8180254 != 8180319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 3 (c) 32 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + 0.04. Let l = 4 - w. Put l, 5, 0 in decreasing order.\nAnswer: 5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*k**2 + 11*k**2 + 57*k**2 + (-k + 4*k - k)*(0*k - k + 3*k + (1 - 1 - 2)*(2*k + 3*k - 3*k) + 0*k + 0*k - 4*k) in the form t*k + w*k**2 + s and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 93. Suppose 0 = -u*r - 13 + 45. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 208250129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4 = -4*u + 6*o, -4 = 11*u - o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384902.\nAnswer: 2, 7, 19, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -815081755 divided by 163016351.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**4\/16 + 13*q**3\/4 + 507*q**2\/8 + 2197*q\/4 + 1. Factor y(g).\nAnswer: (g + 13)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*l + r - 199, -72 = l + r. Let w = l - -78. Let i be 3\/(-15)*-5 - w. Sort i, -5, -1 in ascending order.\nAnswer: -5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120512591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11857039?\nAnswer: 11857039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/276 and 43\/368.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13855 is divided by 103?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 8. Suppose -2*p - 22 = r. Let g be ((-2)\/(-6))\/((-2)\/p). Solve -g*s + 0*s = -12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.206392 + 2.59357. Let o = 2.44 - -0.36. Let h = o - a. Round h to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6888 divided by -6?\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*z = -2*k + 11, 1 = -k - 3*z. Suppose -7*q + 2*q = u - k, 4*q - 4 = 5*u. Suppose 4*f = -0*f + 8. Put 7, q, f in decreasing order.\nAnswer: 7, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 1\/24*j**4 + j**2 + 0*j + 0 + 0*j**3. Let a(c) = c + 2. Let v(d) = -4*d - 11. Let k(o) = -22*a(o) - 4*v(o). What is k(t(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 + 2*t**4 - t**4 + (3 + 10 - 3)*(-2*t**4 + 5*t**4 - t**4) - 14*t**4 + 0*t**4 + 8*t**4.\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.052 and -0.22.\nAnswer: -0.01144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 155850.4 years?\nAnswer: 1558.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5456 - 229175\/42. Let t = m - -5\/6. Suppose 4*i = h + 4*h + 4, 0 = -5*i - 2*h - 28. Which is the third smallest value? (a) i (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 774152207?\nAnswer: -774152206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Let f = -26525\/4 + 6631. Put p, -2, 21, f in descending order.\nAnswer: 21, p, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2171*w**3 - 3523*w**2 - 2. Let r(v) = 6513*v**3 + 10572*v**2 + 7. Let a(o) = 2*r(o) + 7*z(o). What is the third derivative of a(c) wrt c?\nAnswer: -13026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 7*k + 8. Let q(h) = h**2 + 3*h**2 - 7*h**k. Let n(f) = -f. Give q(n(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100111221101022 (base 3) to base 13\nAnswer: 1080c20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -19 + 2 - 3781\/(-199). Solve 4*q + 17 = 3*l, -9*q + p*l - 10 = -7*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i**2. Let h(g) be the first derivative of -4\/3*g**3 + 0*g + 0*g**2 - 42. Give h(q(z)).\nAnswer: -324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1095591 divided by 176.\nAnswer: -1095591\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -266\nAnswer: 5\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660515080 to the power of 1\/4, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16334 - 293875\/18. Find the common denominator of 1\/((-12)\/9) + (-570)\/(-48) and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5792151.\nAnswer: 3, 109, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 = -11*x + 1030. Let w = x + -142. Which is the closest to 1? (a) 20 (b) w (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264607 is divided by 2021?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7123 + 7127. Sort -1, -189, s, -5, 0.\nAnswer: -189, -5, -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v - 115 = 25*v. Put v, 10, 179, 4 in descending order.\nAnswer: 179, 10, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*c - 1\/3 - 2\/3*c**3 + 1\/3*c**4 + 0*c**2.\nAnswer: (c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5 - 19285*n**4 + 96575*n**3 + 96325*n**2 - 868770*n + 695160 = 0. Calculate n.\nAnswer: -3862, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 173472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.1 and -4.2.\nAnswer: -17.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 245447, 490893, 736335, 981773?\n\"Answer: -2*s**2 + 245452*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*h**2\/6 - 1041*h\/2 - 1392.\nAnswer: (h - 87)*(37*h + 96)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 90555*b**3 + 2*b**2 - 8*b - 2. Let p(u) = 135832*u**3 + 3*u**2 - 13*u - 3. Let c(v) = -8*o(v) + 5*p(v). Is c(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.115837 - 5.884163. Let k be -2 - (-12)\/5 - 0. Is v bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 1, b: 1, k: 1, x: 1}. Give prob of picking 1 k and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 219 and 399617695?\nAnswer: 1198853085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(7980\/(-272)) - (-20)\/(-150)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2670630 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1109643175 to the nearest integer?\nAnswer: 33311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 16 = 3*q, 2*q + y + y = -6. Let f be (-2 - q) + (-7 - -15). Let d = 0 + 1. Put f, -3, 0, d in descending order.\nAnswer: f, d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 + -139. Let t(n) be the second derivative of 0 + n - 1\/6*n**3 + 0*n**w. Let z(k) = -k. Calculate t(z(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 0.4 (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 s when three letters picked without replacement from ksssksssssskssssssks.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/15 + (21\/(-9) - -2). Let c(b) = -b**2 + 4*b - 3. Let j(f) = -f. Determine s*c(g) - 4*j(g).\nAnswer: g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, b: 2, y: 12}. What is prob of picking 1 b, 1 y, and 2 i?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + -0.03. Let q = m + 3.08. Let y be (-3)\/((-39)\/12 - -1). Which is the nearest to -2? (a) y (b) 3\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/11 + 106\/6996\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 - 9*t**2 - 49*t + 242. Give i(4).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 28. What is the biggest value in 0.02, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 5*t**2 + 4*t. Suppose 5*k + 4*b = -40, 0 = 5*b - 0*b. Let g = k + 6. Let c be (-40)\/(-7) - g\/7. Calculate v(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g*i**3*j - 38015*g*i*j*l - 143*g*i - 406*i**3*l + 6*i**3 + 13*j*l wrt j?\nAnswer: 3*g*i**3 - 38015*g*i*l + 13*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 6. Suppose -l*w - 3 = 1. Let h be 1\/(w - 15\/(-6)). Solve -2*t = -h*c - 7*t - 25, 4*c - 3*t + 11 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 6:07 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(75) + (sqrt(75) + 1 - sqrt(75)))*-1 + sqrt(75) - sqrt(75))**2 - (4*(sqrt(75) - (sqrt(75) + -1*sqrt(75))))**2) + 1)*4.\nAnswer: -8988 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2725 = -4*f + 3*c, -3*c - 1355 = -5*f + 3*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 39*f - 35*f - 2 - 17. Let u be k(7). List the prime factors of (-3)\/(-9)*u*(-3 - -42).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24149 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t*t**(-19)*t*t)\/t))*t*t)\/(t*t*t**(-28)*t*t) assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 + 32*u**2 - 181*u + 343. Give d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -15, 21 in descending order.\nAnswer: 21, 3, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(13*w - 4 + 4) - 1 - w + 1)*(-2*w + 58 - 33 - 30).\nAnswer: 54*w**2 + 135*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(-3)\/((-3)\/2). Suppose -13 + 57 = 2*m. Let l = t + m. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14. Which is the second smallest value? (a) h (b) -0.4 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.136573 from 4.\nAnswer: 4.136573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1325*o**3 - 3*o**2 + 6*o + 6. Let l(w) = 11924*w**3 + 28*w**2 - 56*w - 56. Give 28*i(t) + 3*l(t).\nAnswer: -1328*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 70*m**2 + m + 1. Let c be j(1). Suppose 2*d + d + 15 = 0, 3*f - 2*d = 37. Calculate the greatest common divisor of c and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14835 + -8.\nAnswer: 14827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4623 (base 9) to base 10\nAnswer: -3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllelleldllellld. What is prob of picking 2 e and 1 l?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -9. Suppose 5*o - 1500 = -1270. Calculate the remainder when o is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 314 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 11304960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3538 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 5\/3 (c) -0.0628847 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.6 + -29. Let z = r + 2. What is the nearest to 2\/65 in -3\/4, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*g**5 + 6*g**4 + 195*g**3 - 258*g**2 + 72*g = 0. Calculate g.\nAnswer: -4, 0, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 71. Solve 0 = 6*a - 5*a - x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -174, -382, -700, -1152, -1762, -2554?\nAnswer: -3552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 219, 555, 1027, 1635, 2379, 3259?\n\"Answer: 68*a**2 - 4*a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - k - 3 - 4, 50 = 5*p + 4*k. Let w be 36 - 4 - (16\/(-4) + 6). Calculate the highest common factor of p and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 10. Let i be a(-6). Suppose -17 = i*z - 25. Solve z = 4*x - 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 6, -6, 0, -148 in decreasing order.\nAnswer: 6, 0, -4, -5, -6, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27017, 108200, 243473, 432836?\nAnswer: 676289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35298 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -798 by -6.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.02 + -63. Let l(n) = 5 + 2*n**2 + 2*n**2 + 7*n - 3*n**2. Let o be l(-7). Which is the biggest value? (a) o (b) u (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725399672 is divided by 9191?\nAnswer: 9188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2608 + -2642. Let h = -7711 - -38721\/5. Let p = h + t. Sort -2\/13, p, 4, -5 in ascending order.\nAnswer: -5, p, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -48*w**3 + 840*w**2 + 429*w + 54 = 0.\nAnswer: -1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 4*sqrt(272)*-2)*-2.\nAnswer: 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476957318.\nAnswer: 2, 238478659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3121782467696155\/731524711218 + 2072\/188634531. Let f = -8535\/2 - p. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1e22a59?\nAnswer: -1e22a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*x - 13*x. List the prime factors of (-19 + x)\/(3\/(-24)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 - 2)*(3 - 3 + v**2 + (1 + v - 1)*(v + 0*v + 2*v) - 2 + v**2 + 2) - 4*v**2 + 4*v**2 + 3*v**2 to x*v + o + w*v**2 and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(114) - (sqrt(114) + (-2*sqrt(114) - sqrt(114))*4))\/(sqrt(30)\/(sqrt(35)\/(sqrt(112) - sqrt(7)))) + -4.\nAnswer: -4 + 16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let r be 1 + -1 - (-6)\/(-3). Let i be h(r). Solve 0 = -s + i*s + 4*z + 5, 5*s + 2*z + 13 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**4 + 1 + 35*v**2 + 10*v + v**4 + 11*v - v**3 - 23*v as p*v**4 + l*v**3 + j*v + u*v**2 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*w + i, 0 = w - 2*i + 4 - 1. Let x(l) = -2*l**3 - 14*l**2 - 20*l - 14. Let a(d) = d**3 + 5*d**2 + 7*d + 5. What is w*x(g) + 14*a(g)?\nAnswer: 4*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22 + -17)\/(3\/(-5 - -2)). Let n(h) = -h**3 - 2*h**2 + h - 9. Let p be n(-3). Sort -2, 5, p, c in increasing order.\nAnswer: c, p, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 + 1.8\nAnswer: -97.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 469920 and 16192?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4 + 4. Let h(y) = 5*y. Let w be h(1). Suppose w*x = 20, -j - 8 = -4*x + x. Solve -3*o + p = -j*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200101100212 (base 3) in base 2?\nAnswer: 1011000010101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10353\/145 + -63)*15\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82349 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 54 + 36*f**2 - 6*f - 8*f**2 - 11*f**2 - 16*f**2 to the form b*f**2 + v + x*f and give v.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + 0. Let s = -3.252 + -0.048. Let p = s - -0.3. Which is the closest to -2\/9? (a) 3 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d = 9. Let b = 2 - -3. Solve d*f = 4*f + b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggg. Give prob of sequence gng.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - 326)*(16\/6)\/(-4)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 13. Let k = h + -16. Solve -k = -s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21321 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 7*l**3\/3 - 1172. Let r(v) = 25*v**2. Calculate r(q(z)).\nAnswer: 1225*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891401163.\nAnswer: 3, 197, 1508293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oou when three letters picked without replacement from {u: 7, o: 3, e: 2}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, -143, -6\/23 in decreasing order.\nAnswer: 0.5, -6\/23, -4, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**2*h*k + 8*g**2*h + 8*g**2*k - 198*g**2 - 38*g*h*k + 501*g*h - 2*h*k + 2 wrt g?\nAnswer: -6*h*k + 16*h + 16*k - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1699 - 1000. Let m be 13*(2 + j) + -3. Let s = m + -245935\/27. Calculate the common denominator of -37\/42 and s.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 8. Let s(k) = k**2 - 6*k - 1. Let p be s(i). What is the highest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4474.\nAnswer: 2, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43016334769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 79*s - 237. Let g(k) = -1. Calculate 237*g(d) - z(d).\nAnswer: -79*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45*-1*(6 - 38\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53453 is divided by 681.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-18 + (-18 - -24) + 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**43\/(a**(2\/15)*a*a*a)**39 assuming a is positive.\nAnswer: a**(-826\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*s**3 + 168*s - 1?\nAnswer: -2124*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2982 divided by -994\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -202202012 (base 4) to base 9\nAnswer: -235022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 219 in 2\/9, 3\/2, -2, -2\/19?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 4*m + 4. Let z(t) = t**3 + 21*t**2 + 17*t - 48. Suppose 10 = n - 17. Calculate the lowest common multiple of z(m) and n.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 15 + 0 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*z**2 + 44*z**2 + 44*z**2 + (-2 + 1 + 0)*(4*z - z**2 - 4*z) + 5*z**2 + 7*z**2 + 9*z**2 to the form q*z + t*z**2 + c and give t.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 5*i**2 + i - 5. Let r be (-1)\/(-7) + (-684)\/84. Let z = 16 - 44. Let u be 9\/6 + z\/r. Calculate f(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:44 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3210003 (base 4) to base 3.\nAnswer: 202000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -679.44 - 219.66. Let p = m + 899. What is the nearest to p in -5, 3\/2, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 13*z + 6 - 1 - 3. Let c(w) = 4*w + 1. Determine -8*c(s) + 3*y(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) 2\/7 (c) 3\/163 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -34. Suppose -3*s - a*s = 0. Solve s = 3*f - 2*n + 10, 0 = 2*n - 4*n - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*n**2 + 8743*n**3 - 4382*n**3 + 76*n**2 - 4366*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*d - 24, 5*d - 3*d + 26 = 4*c. Calculate the remainder when 24 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27 + 18*n - 27 - 37*n - 50 wrt n.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 651473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18\/3 - 8)*(-2)\/(-22)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8391132 and 5648932?\nAnswer: 864286596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5911*q = 5907*q + a, -32 = 4*q - 5*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3 + l**2*v + 65054329*l*v + 42531491*v wrt l.\nAnswer: 6*l**2 + 2*l*v + 65054329*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -241 - 230. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2055*a**4*v**3 + 39*a**3*v**3 - a**2*v**3 - 549*a**2 - 3*a*v + v - 2 wrt a.\nAnswer: -49320*a*v**3 + 234*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66468 and 1044.\nAnswer: 199404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 2. Let n be g(-5). Let m = -5748\/17 - -338. Let f = 18 - 17.9. What is the nearest to f in m, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * 1.3\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 217\/14)\/((-6)\/8). Suppose -22*r = y*r - 3420. Calculate the highest common factor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19a4 - 1?\nAnswer: -19a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**3 - q**2. Suppose -4*n - 10*n = 14. Let l be p(n). What is the third derivative of 28*y**3 + 6*y**3 - 9*y + l*y**2 + 9*y wrt y?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 171\/(-8 + -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-3\/5)*a)*a**(-2\/9))\/(((a*a*a**(2\/3)\/a*a*a*a)\/a)\/a**1) assuming a is positive.\nAnswer: a**(-103\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.47 + -11. Let h = -2231 - -2230.55. Let f = i + h. What is f rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -164*l + 37. Let a(g) = 168*g - 37. Let x(s) = -4*a(s) - 3*d(s). Find the first derivative of x(h) wrt h.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(-3*c**2 + c**2 + 0*c**2) + 5*c - 5*c - 2*c**2 - 2*c + 2*c - 3*c**2 to w + t*c + r*c**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + 1 + 91*x - 182*x + 3 + 105*x.\nAnswer: 14*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6775 and 2981.\nAnswer: 74525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448 and 14?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 95*k**2 + k - 1. Let q be j(3). Let u = q - -303. What is u rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, t: 15}. What is prob of picking 1 h and 3 t?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/30*264\/(-16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (972\/24)\/27*(-3 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212220 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 11 = 11 - 1. Put 4, 7, -12, f, 5 in decreasing order.\nAnswer: 7, 5, 4, f, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/75*1\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/3)\/s)\/s)\/s)**26*(s*s\/(s*(s*s\/s**(1\/9)*s)\/s))\/s**(-9\/5) assuming s is positive.\nAnswer: s**(-2689\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1973968 and 39\/493492.\nAnswer: 1973968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*n - 431*n = 2427. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30492120 and 4326?\nAnswer: 213444840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i)*(i - i + 2*i**2) - 2*i**3 + 4*i**3 - i**3 + (-1533 - 503 - 490)*(-4*i**3 + 2*i**3 + 3*i**3).\nAnswer: -2527*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*3*111\/((-1332)\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*p - 15 = 0, 0 = 3*m - 0*p - 4*p - 21. Let k = 3313\/3 + -1104. What is the closest to 1\/4 in 2, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -557*n**6\/60 - 155*n**3\/2 - 797*n**2. What is the derivative of q(i) wrt i?\nAnswer: -3342*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*2*6 + sqrt(85))\/(sqrt(5)*-1*2).\nAnswer: -13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/2990 and 37\/9966245.\nAnswer: 259122370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/5))\/(d**(10\/7)*d))\/(d**3\/(d*d**2)))**(2\/7) assuming d is positive.\nAnswer: d**(-128\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 988888 * 100.\nAnswer: 98888800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 65716363*g**2. Let u(d) = d. Determine t(u(p)).\nAnswer: 65716363*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8359.87 tonnes?\nAnswer: 8359870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 18. Let w be a(15). Suppose 0 = w*u - 4*u + 207. What is the units digit of (u\/15)\/(9\/45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z = q - 28*z - 10241, q - 3*z = 10281. What are the prime factors of q?\nAnswer: 2, 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/306)\/((13\/(-13))\/3)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23743424*m**4 + 2*m**2 - 12566049 wrt m.\nAnswer: 569842176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 24, 3, 2 in increasing order.\nAnswer: -4, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/193 + 305\/5404. Let r = q - -11\/84. Let m be 50\/(-250)*((-11)\/(-6) + -1). What is the nearest to m in r, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 + 3*w - 7. Determine i(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 - 3*t - 7. Let u(m) = 3*m**2 - 3*m - 6. Let x(i) = -4*l(i) + 5*u(i). Let z = 0 - -4. Let r = z + -8. Determine x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = -2*x + 5*a, -x = a + 3*a + 113. Let f = x + -461. Calculate the common denominator of 1\/7 and (-6)\/(-9) + f\/60.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 78*r + 218*r - 76*r - 71*r - 2 as j + y*r**2 + c*r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 5*f + 8, 4*f + 4217 = -t + 4218 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325539451 to the nearest integer?\nAnswer: 18043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 5:49 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -77181834 divided by 38590917\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1. Let v(i) = -2*i**2 + 90*i + 239. Let f(b) = b**2 - 30*b - 80. Let t(q) = 11*f(q) + 4*v(q). Let d(y) = l(y) + t(y). Find p, given that d(p) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-111)\/(964146\/(-101))).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o**41\/o)\/o))\/o**(-4\/19))**(6\/17) assuming o is positive.\nAnswer: o**(-4422\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.63? (a) -5 (b) 0.04 (c) -0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 90 = 40. Suppose 3*d - 20 = g, -2*g + d - 20 + 0 = 0. Let s be (g\/q)\/((-70)\/25). Which is the third smallest value? (a) s (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -800*x + 1679*x - 846*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*t - 185, 2*x = -4*t - 0 + 82. Suppose 6 = 6*a - 4*a. Suppose a*g = 38 + 13. Calculate the remainder when x is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -6. Let v = 3 + m. Let k be (-66)\/90 - (-1)\/3. Is k equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z**3 - 39*z**2 + 111. Let f(a) = 25*a**3 + 77*a**2 - 223. Let b(j) = -4*f(j) - 9*v(j). What is the first derivative of b(i) wrt i?\nAnswer: -3*i**2 + 86*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -87. Calculate the remainder when (-1)\/m*46 - 6 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000463487378 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 50\/275 - ((-80)\/(-22))\/(-2). Let u(x) = 14*x**j + 20*x**2 - 28*x**2 - 7*x + 7*x. Let f(n) = 3*n**2 + 8. What is u(f(w))?\nAnswer: 54*w**4 + 288*w**2 + 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (19 + -23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37540*x - 3428*x - 1581*x.\nAnswer: 32531*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-6)\/(-4)*(-5)\/15. Suppose -k*j - 1 = -5, -17 = 5*q - j. Let x(t) = -t**3 - 3*t**2 - 2*t - 4. Determine x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 1313 = -45*g - 45*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 5*j**2 + 4. Let v = 4 - 9. Let q be o(v). Solve q = t - 0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 5. Let m be j(3). Suppose -a - 20 = -m*a. Let i(q) = -q**3 + 9*q**2 + 5*q - 6. What is the remainder when i(9) is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 + 2)*(5 - 5 + v)*(0 - 5 + 3) to the form h*v + a and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 4, 62 = 12*s + 1422*b - 1420*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 c when four letters picked without replacement from crdccrc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12417? (a) 3\/1199 (b) 0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*q + 14 = q, 2*b + q = 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2386, -2582, -2754, -2890, -2978, -3006, -2962?\n\"Answer: 2*i**3 - 210*i - 2178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -50. Let x(q) = 4*q**3 - 5*q**2 - 5. Let b(s) = -s**3 + s**2 + 1. What is c*x(i) - 15*b(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8956, -15007, -21058, -27109?\nAnswer: -33160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1987175 and 19\/202.\nAnswer: 3974350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3658*w + 61065 = -2824*w - 303*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 45*o**2 - o + 3. Let g be c(-2). Suppose d + 555 = 4*d - 3*p, -d + 3*p = -g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826797671.\nAnswer: 7, 37, 757, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4326868241.\nAnswer: 67, 64580123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 19404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 4*w**2 - 33*w - 2. Calculate b(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 5c53?\nAnswer: 5c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1 + 3*s**3 + 2*s - 1 - 2*s**3 + 7*s**2 + 0*s. Calculate the lowest common multiple of 14 and g(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0964913 and -182.\nAnswer: -17.5614166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1396\/43 + 93707\/2795. Let a = k + -3676\/585. Find the common denominator of a and 4\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -0*j. What is the units digit of ((-5)\/(-1) - -207) + j\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-39)\/((-819)\/(-70)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146 - -153. Suppose 8*z = a*z + 2149. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 653360\/21 - 3001513\/84. Let w = -3980 + -637. Let l = u - w. Find the common denominator of l and -73\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8697 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.5. Let k = -12 - -14. Suppose 0*j + 3*j = -3*r + 15, -r + k*j + 2 = 0. Which is the second biggest value? (a) -3 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28870330 or 28870336?\nAnswer: 28870330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/24)\/(2\/(-20))*(-5672)\/1418.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-265216)\/(-40))\/8 - 1\/(-5). Let i = f - 1077. Is i at most as big as -249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 699798233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4 - 28. Let k be -3*(n\/(-6) + (-3)\/9). What are the prime factors of 8\/k*324\/(-8) - 3?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*t, -5*z + 16 - 18 = -t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/12 - x**2\/2 - 156443*x. Let d(u) = -5 + 0*u**3 + 2*u - u**3 + 8*u**2 - 3*u**2. Calculate -d(l) + 5*v(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-380)\/44 - (54\/3)\/(-2).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 z, and 1 j when four letters picked without replacement from {z: 9, m: 1, j: 1, f: 1, i: 2, o: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -21. Suppose l - 4*y + 9*y = g, -2 = -l - 4*y. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(2)*-1)*-1 + 4.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 38*s**2 + 104*s - 26. Let a be x(-35). Suppose 4*i + 4*k = -0*k - 4, -4*k - a = -i. Which is smaller: 2\/217 or i?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 7*a - 4. Let v be g(-8). Let l be 1*v\/4 - 11. Let o(w) = -w**3 - 12*w**2 + 18*w. List the prime factors of o(l).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 404.\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*3*5*(((sqrt(192) + 1 + sqrt(192))*2)**2 - (-4 + (0 + sqrt(192))**2)).\nAnswer: -259917 - 11520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**2*f + 35*a**2*i**3 - 66*a**2*i + 248242*a*f*i**3 + 5*i**3 - 4 wrt f.\nAnswer: 4*a**2 + 248242*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(612)*-2)**2 - ((sqrt(17) + 0)*-5 + sqrt(17))*3.\nAnswer: -84*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38483744 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 233*b + 1205. Give k(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 16*f**7\/7 - 7*f**3 - 14. Find the third derivative of n(l) wrt l.\nAnswer: 1920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 958090.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -35 and -43871.9493.\nAnswer: -43906.9493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*k + 11 = 5*l + 92*k, 5*l = -2*k + 19. Solve 2*c + l*c + 25 = -x, 4*c + 5*x = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -7, -3, -94 in descending order.\nAnswer: 3, -3, -5, -7, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-42)*8*(-21)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 446*d**2. Let w(q) = q. What is g(w(i))?\nAnswer: 446*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (1753\/2)\/(28\/8). Let c = r + -35263\/140. What is the common denominator of -87\/118 and c?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412396116 divided by -10428\nAnswer: 39547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -620.2 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 15 - 26)*(-17 + 610*i - 72 + 100 - 11) as w*i + r and give w.\nAnswer: 2440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 147090 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 356\/(-60) + -2 + 2 and 2\/6*1 + 364\/(-132).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 + 0*g**2 + 43*g + g**2 - 6 - 36*g - g**3. Suppose -28 = -3*f - 10. Let x be d(f). Solve -4*o + 22 = 2*u + 2, 5*u + o - 14 = x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/12*27\/(-2). Let x = -18 + d. What is the derivative of x*q - 3*q**4 + 19 - 7*q**4 - 9*q wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u, -5*u + 126 = 4*f - 0*u. Let i = f + 58. Let g = i - -65. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090 is divided by 452?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus 2653?\nAnswer: -2666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 110036563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17607.\nAnswer: 3, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053989 to four decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhhb when four letters picked without replacement from {y: 10, h: 7, b: 1}?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12102833?\nAnswer: 12102833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.6281 and 3?\nAnswer: -25.8843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51452667 a multiple of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 501, -2, 2, 17, -3, -1 in descending order.\nAnswer: 501, 17, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:32 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**6\/3 - u**5\/4 - 869*u**4\/4 - 972*u. What is the third derivative of d(f) wrt f?\nAnswer: 240*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 40. Let y be d(0). Let j = y - 9. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 12:12 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1126, -1154, -1204, -1276, -1370, -1486, -1624?\nAnswer: -1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64045 by -109.\nAnswer: -64045\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67\/4 - -17. Let a = 8.213 + -0.013. Let u = 8 - a. Is c not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*q - 212 - 66, -5*a + 5*q + 725 = 0. Let p = -741\/5 + a. Let n be 26\/182 - (22\/(-7))\/(-1). What is the biggest value in n, 5, 0.5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6610?\nAnswer: 2, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 370*a**3 + 14*a**2 - 68*a + 12 + 26*a**2 - 374*a**3 + 20.\nAnswer: -4*(a - 8)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/5)*x*x*(x**6*x)\/x*(x\/x**6*x)\/x**(-7) assuming x is positive.\nAnswer: x**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/198*11)\/(2\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -93*o**3 - 4*o**2 - 6*o - 7. Let z(x) = x**3 + x**2. Let j(m) = y(m) + 4*z(m). Let u be j(-1). What is the highest common divisor of 132 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 589*y + 2352. Let a be z(-4). Let h(k) = 22*k + 79. Give h(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7213321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -10 (b) 1 (c) 13\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -45, -4, 1\/2, 4.\nAnswer: -45, -4, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:07 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 25, -4*c + 2 = -x - 2*c. Calculate the least common multiple of 21 and (-24496)\/(-96) - (-2)\/x.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.3 - -7.14. Let x = p - -0.16. Let d = x + 16.13. Round d to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = j, 3*j - 12 = 4*c + 22. Suppose 6*k - j = 9*k, -4*o + 3*k = -1842. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 24*g. Solve -1\/2*i**2 - 1\/4*i**5 + 1\/4*i + 0*i**3 + g + 1\/2*i**4 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7139085?\nAnswer: 3, 5, 23, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11) + 1)*5)**2 + 3.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 889.112 hours in seconds?\nAnswer: 3200803.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/(-22))\/(10\/(-4)). Sort -3\/7, f, -0.3 in descending order.\nAnswer: f, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 635 and 3?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 16. Suppose 0*a - 2*a = 5*f - 22, -3*f + a + o = 0. Differentiate -5 - 3*l**f - 5*l**4 + 0 wrt l.\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 25\/186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000 - -313?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353503 is divided by 1700.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2563 or -2561?\nAnswer: -2563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:33 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.2 (b) -3 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 10:52 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 12, q: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11207 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/2 - (1591814\/(-72485) + 354\/(-19293)).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.82755 to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (4 - 21)) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37336180.5+10\nAnswer: -37336170.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 3. Let k be 1 - -1 - q\/14. Let f = 6 - 6.3. Which is the third smallest value? (a) k (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 9) in base 14?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 39 + 16 = 0. List the prime factors of ((-25)\/(-3))\/(q\/(-99)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2424 + 16928\/7. Let o = n - -6. Sort o, 0, -1\/8 in decreasing order.\nAnswer: o, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 58.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 3. Let l be 1 + (24\/(-2))\/2. Does 6 divide k(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 > 16304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -314*m**2*z**2 - 667*m**2*z - 11*m**2 + 257*m*z + 3*m - 537*z**4 + 5*z**3 + 2 wrt z.\nAnswer: -628*m**2 - 6444*z**2 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 12:05 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6949 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 258, 458, 808, 1362, 2174?\nAnswer: 3298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wopop?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let l(u) = u + 44. Let s = -8 + -10. Let t be l(s). Let d(n) = 4*n + t - 49 + 23. Calculate q(d(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 = 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*l - 29, -2*o = -l - o - 9. Let r be (-2)\/l - (-1101)\/2220. Let z = -2\/37 - r. Which is the third smallest value? (a) z (b) -0.02 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 1098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-244)\/(-120) - 3 - 4\/(-6). Let m = 1 - 1. Which is the smallest value? (a) m (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275651689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5*3\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.9409 times 113.21\nAnswer: -332.939289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, 1, 4 in ascending order.\nAnswer: -5, 0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5766, 11524, 17278, 23028, 28774, 34516, 40254?\n\"Answer: -2*y**2 + 5764*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392182 (base 12) to base 7.\nAnswer: 10651151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11128\/7 + 1590. What is the closest to x in -3, -1\/9, 3\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2579\/3 - -860. What is the closest to 0.1 in -34, -1\/8, 2\/13, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585545671?\nAnswer: 17, 1609, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*h**4 - 5*h**2 - 735.\nAnswer: 60*h**3 - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35923085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -121. Let u be (-14736)\/m*12\/11. Let y = 251 + u. Which is greater: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8436490 and 41338801.\nAnswer: 413388010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 12, 0.01, -0.07, -2\/19 in decreasing order.\nAnswer: 12, 0.1, 0.01, -0.07, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -0.3 (b) -3\/7 (c) 1\/2139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:22 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38b4 (base 14) in base 12?\nAnswer: 591a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*(-395)\/4029?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 841 - -652. What are the prime factors of y?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 4*a - 10, 2 = -h + 3*a - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -124, -133, -144, -157, -172?\n\"Answer: -m**2 - 6*m - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 21. Calculate the greatest common divisor of 26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36009557 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-6 + -2)) + -32.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-9)\/6*2. Let h be 2\/(-2)*2 - s. Let r(x) = -x + 14. Let a be r(h). What is the highest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, v: 1, n: 3, p: 1}. What is prob of sequence nhn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 8*i - 7. Let c be w(9). Let t(s) = -2*s + 2. Let m(b) = -4*b + 5. Let g(n) = c*m(n) - 5*t(n). Let f be g(1). Solve f = -0*x - x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9580\/1437 - 1\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3775*p + 3784*p = 7757*p + 16632 for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0077 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22220021102 - -120?\nAnswer: -22220020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 + 14*c - 53. Let s be p(4). What are the prime factors of (7 + 757 - -2) + s?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7039 + -0.0821. Let c = w - 0.014. Put c, -0.5, -1 in descending order.\nAnswer: -0.5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.4 (b) -0.4 (c) 3 (d) 2\/15 (e) 1 (f) 34 (g) -1537.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -63. Let j be 2\/(c - -7)*12. Suppose 0 = 2*f - 3*f + 3*w + 4, 2*f - w = j. Solve -4*q - 9 = -f, -4*u + 10 = 3*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1 in decreasing order.\nAnswer: 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2047 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420412?\nAnswer: 2, 61, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19837 by 605.\nAnswer: -19837\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*t - 68. Find the common denominator of 11\/16 and 1155\/t*(-3)\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2 - 14553*c + 145630 = 0.\nAnswer: -14563, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 - 6414780\/300. Round w to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/12 - 2597\/(-294) - -72781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-50)\/24)*(7875\/70)\/(-45)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60111.\nAnswer: 3, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -25.3, -27, -0.1, 2, 0.4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.5 - 31. Let h = 16 + g. Let i = -2.521 + h. Round i to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7799\/5 + -1553. Calculate the common denominator of -77\/1140 and p.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1 + 11 = 0. Let l(u) = -1 + q + 2*u - 2. Let j(h) = 5*h**2. Determine l(j(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 25*a + 330. Determine c(-36).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 143936 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.1. Let h = 1 - 1.1. Let q be ((-2)\/3)\/(14\/6). Sort h, q, b.\nAnswer: q, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 182*j - 386. Let z(r) = -37*r + 77. Let t(g) = -3*v(g) - 16*z(g). What is the derivative of t(c) wrt c?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 5*v - 57 = 8, 3*q + 20 = 2*q - 1913*v + 1915*v for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310 (base 9) in base 10?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, i: 2, k: 4, p: 1}. Give prob of sequence gkpg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516969.\nAnswer: 3, 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1917 - -1968.92. Let s = j - -0.08. Let x = s + -50. Which is the second biggest value? (a) 0.04 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*w. Suppose -7*u + 699975 = -w*u. Suppose 3*b - 140015 = 4*b - 3*t, -t - u = b. What is b rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167 + -165. Let u = -158 + 249. Let l = -90.6 + u. Which is the nearest to 0.2? (a) v (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y. Let i(r) = 5*r + 3. Suppose j = -4*n + 13, 4*j + 5*n = 4*n - 8. Let k(x) = -26*x - 16. Let s(q) = j*k(q) - 16*i(q). What is s(g(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/((-280)\/(-96)))\/((-6)\/20). What is the third derivative of 17*s**3 - 3*s - 6*s**2 + 5*s + d*s**2 - 6*s**2 wrt s?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13223 + -22?\nAnswer: 13201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2362751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114683237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-1))\/((-2)\/6). Let o be 5\/(-3 - -1 - d). Suppose o*t + 2*g = 4*g + 1651, -3*t = -g - 991. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 4:18 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = 2*b - 116 - 196 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6178 is divided by 1226.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*q - 1)*(-1 - 1 + 4)*(144 + 62 - 106) as t*q + w and give t.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**4 + j**4 + 2*j**4)*(2*j - 270 + 266 + 4*j) + 33*j**5 - 2*j**5 + 4*j**5.\nAnswer: 29*j**5 + 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + 2*v + 1. Let w be r(2). Let n be (4 + w - 1)*-1. Solve 4*b = -3*a + n, -b = -5*a - 0*b - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -6 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*h - 18. Suppose 0 = -h*q + 13*q - 14. Which is smaller: q or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59, 163, 321, 527, 775, 1059, 1373?\n\"Answer: -t**3 + 33*t**2 + 12*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 13769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 2*v + 16. Let n(g) = g**3 + 6*g**2 + 5*g - 3. Let x be n(v). Solve -5*s + 39 = 2*c + x, 0 = 2*c - 5*s + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - 8.2. Let i = k - -8.8. Which is the closest to 0? (a) -5 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22629977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.1406g in milligrams?\nAnswer: 38140.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11910414 - -190457415\/16. Let d = 6823 + h. Find the common denominator of d and 93\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l*p**2*u - 5*l*p**2 - 4*l*p*u**3 - 11*l*u**4 - 8*p**2*u**3 - p**2*u**2 wrt u?\nAnswer: -24*l*p - 264*l*u - 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3328) + -3*sqrt(3328))\/((2*sqrt(28))\/sqrt(7)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + b**5 + 0*b**3 + (4*b - 4*b - b**3)*(0*b + 6*b**2 + 0*b).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:51 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*p**3 - d**3*p - 25*d**2*p**3 - 128*d**2*p wrt p.\nAnswer: -18*d**3*p - 150*d**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4353311\nAnswer: 5\/4353311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96841.24l to millilitres.\nAnswer: 96841240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 111, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32.96 and -4.\nAnswer: -36.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 25. Let w be u(-10). Which is the third smallest value? (a) 0.3 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00330851 rounded to five decimal places?\nAnswer: 0.00331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1416832 and 531312?\nAnswer: 4250496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78970\/7 - 1586586277\/140637. Let a = j + 1707767\/642912. Calculate the common denominator of (-254)\/144*(4 - 2) and a.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1834049134?\nAnswer: 2, 47, 19511161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m - 4. Let x be a(-4). Let j be 2\/15 - (-4)\/x. Factor h**4 + 0 + 5\/3*h**2 - j*h - 7\/3*h**3.\nAnswer: h*(h - 1)**2*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1095 or -1093?\nAnswer: -1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 2*w + 3*w)*(-3 + 3 - w) + (-w - w + 0*w)*(2*w + 0*w + 4*w) + 0*w**2 - 8*w**2 + 3*w**2 as i*w + u*w**2 + x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 5*c**2 - 4*c - 10. Let u be t(6). Is (-15117)\/u*((-160)\/24 - -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/3*(-2093)\/20930.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178\/167673 - 5645020903\/24480258. Let a = 9242757\/1606 + l. Let c = a - 5529. Calculate the common denominator of c and 91\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/144 and 99\/48688.\nAnswer: 438192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 1.576. What is o rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 12, 11\/111, 5, 0.086 in increasing order.\nAnswer: -1\/3, 0.086, 11\/111, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 13 + -9 + (10 - (2 - 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 8*s**2 + 7*s + 4. Give r(-8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.548 and 79?\nAnswer: 359.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 25 - 1 = 48 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 67*1 + (4 - 1). Suppose 0*l + l - t = 0. Calculate the highest common factor of l and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/18 and (1742\/1209*1)\/(-1 + 85).\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7 + 0*b + 2*b - 3*b + 2*b. Let s be h(-3). Suppose f + 4 = 0, 3*q - 2*f - 544 = -s*f. What is the greatest common factor of q and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 90. What is n(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(7\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 11 (c) -4\/1193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -131*m**3 - 10*m**2 - 6*m - 6. Let a be y(-2). Suppose -2666 = -32*q + a. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6112704.15us?\nAnswer: 0.000010106984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3399, 0, 9, -3, -9.\nAnswer: -9, -3, 0, 3, 9, 3399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 15*n - 39*n.\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 10. Let r be 1350\/13 - (-1 + t). Let s = r + -104. Which is the smallest value? (a) -2\/11 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -22*a. Let m(q) = 351*q. Let o be -26*(19\/(-8) + (-29)\/232). What is o*z(w) + 4*m(w)?\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -123*q**2 + 2*q. Let x(j) be the third derivative of -j**4\/24 - 109*j**2. Determine x(z(g)).\nAnswer: 123*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326180 is divided by 2091.\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Express -40*v**4 + 8345*v**3 - 4148*v**3 - 4173*v**3 - 161*v**4 + (-v**4 + 2*v**4 - 3*v**4)*(4 - 2 - 1) as m*v**3 + d*v + l*v**2 + r + i*v**4 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 90387 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/((-22)\/(-132)). Suppose x - 70 = -3*v, w*x - 4*x = 5*v - 111. Solve 3*y + 4*g = v, -2*y + 4*g = -y + 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -8.982, 2\/11, 3, -9, 11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 37*c + 29*c + 38*c - 102*c. Let o(k) be the first derivative of -2*k**2 - 1. Give 7*h(i) + 3*o(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2529171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**3 + 6*r**2 - 6*r - 4. Let u(s) be the first derivative of -3*s**4\/2 + 5*s**3\/3 - 5*s**2\/2 - 3*s - 8638. What is 5*k(o) - 6*u(o)?\nAnswer: o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138 - -141) + 5 + -10 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 - 14*z + 3. Let c(n) = 3*n**2 - 14*n + 6. Let a(p) = -2*b(p) + 3*c(p). Determine a(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 - (-2 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4 + 56*p**3 - 5716*p**2 + 100576*p - 178752 = 0?\nAnswer: -114, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -285, -1014, -2441, -4800, -8325, -13250, -19809?\nAnswer: -28236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 30*r - 50. Let t be a(-28). Solve 0 = -11*l + t*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8840 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6476*o**2 - 30*o - 31. List the prime factors of k(-1).\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 75. Suppose -5*t + m = 5. Solve k + 1 = t*v - 5, 29 = k + 5*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**6\/60 + s**4\/12 + s**3 + 52*s**2. Let a(k) = -k**3 - k - 3. Let j(r) = 5*a(r) + 3*h(r). Determine j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 128325?\nAnswer: 1411575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 135 = -5*p - 0*p, 0 = 3*c - 5*p - 41. Let z = -699 - -704. Calculate the remainder when (6\/(-9))\/((20\/(-234))\/z) is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*h + 1662 = 7*l, 3*h = 5*l - 2071. Suppose -28 = 7*w - l. Let p(y) = -y**2 - 9*y. Calculate the remainder when w is divided by p(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 3*f - 13 = 3*t, 4*t + 3767*f = 3771*f + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - w + 12*w**4 - 2*w**3 - 8*w**2 - 2 - 17*w**4 to the form a + y*w + d*w**2 + l*w**4 + c*w**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 24785341003*i + 24785341003*i.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhx. What is prob of sequence hy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 320919.4l in millilitres?\nAnswer: 320919400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2718 + 2715 + 3*g - 2*g. Give y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16. Let g(t) = t**3 + 1. Give -g(w) + u(w).\nAnswer: -w**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 o when four letters picked without replacement from mooooooooomomommom.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5\/4)*v**(-4\/3))**38)**41 assuming v is positive.\nAnswer: v**(-24149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495223 is divided by 7503?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4 - 52*x**3 - 230*x**2 - 296*x - 120 = 0.\nAnswer: -2, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2567*d**2 - 42*d - 185. Let o be b(-5). What is o rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -60*r + 121. Give o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 23095.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67008 - 34259. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 k when four letters picked without replacement from {k: 3, h: 1, w: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 + -8.89. What is the third smallest value in z, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.9191mm to kilometers.\nAnswer: 0.0004909191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3212718 to the nearest integer?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.29\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2 + 0*b - 3*b + 2*b. Let r(m) = 5*m - 60. Let q = -225 + 238. Let w be r(q). What is a(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**2 + 2 + 11*o + 1\/72*o**4 - 7\/36*o**3. Let u(x) = 0. Calculate x.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0 + 3\/2*u**3 - 2*u + 1\/2*u**2 + 1\/24*u**4. Let w(n) be the first derivative of h(n). Give w(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*b = 175*b - 76*b - 8163225. What are the prime factors of b?\nAnswer: 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (6 - 2) - 1. Let r = i - -6. Find the first derivative of 3*a**4 - a**r + a**4 - 1 wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 17 = 3*x - f, f + 11 = 2*x. Suppose 0*p - 3 = -p. Suppose 3*t + p*n - 385 = x, 0 = 5*t - 2*n - 629. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22793 + -22516. What is the remainder when 1411 is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4469, 871 in ascending order.\nAnswer: -4469, -10, 871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/623, -2, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = g. Let w be (-200)\/g - 255\/(-153). What is the greatest common factor of 21 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 1843?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + 4.87. Which is the second smallest value? (a) s (b) 5\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 16 (c) 0 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31, -75, -141, -241, -387, -591, -865, -1221?\n\"Answer: -2*y**3 + y**2 - 33*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1459180 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6*o = -294. Let z be (-56)\/o*3\/2. Sort -219, z, -5.\nAnswer: -219, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4255841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*j - 5931 = 0, -2*j + 211 - 6124 = -3*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**2 - 748707*n - 701687 wrt n.\nAnswer: 2*n - 748707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 63, 87, -1.2634, 1\/6?\nAnswer: -1.2634","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 4*y + 4 + 6, 2*o + 3 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4 + 35*z**3 + 85*z**2 + 45*z = 0. Calculate z.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*v - 5*d, -6*v - 3*d + 3 = -11*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -333 + 328. Let n(h) = -h**3 - 6*h**2 - 3*h + 7. Calculate n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -n - 82 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/4995 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/64)\/((-612)\/48))\/(1\/(264\/6))\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(2233\/315 + -7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:15 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 12. Let x be v(7). Solve 6*h + x = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 10060?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/20 - o**4\/8 - 24*o**2. Let y(p) = 2*p. Give h(y(n)).\nAnswer: -12*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f**3 + 10*f**2 - 13*f + 6. Let i(z) = -4*z**3 - 3*z**2 + 4*z - 2. Let q be 12 + 675\/180*(-8)\/6. Calculate q*i(c) + 2*s(c).\nAnswer: -2*c**3 - c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-9)\/5 - 1\/5. Suppose -4*r - 90 = -2*f, -40 = -4*f - c*r + 120. Find the second derivative of -20*m + 18*m - f*m + 27*m**5 + 7*m**5 wrt m.\nAnswer: 680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -122*(-5 - 6\/(-4))?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*s + 3*s. Suppose 3*u = 4*w - 2, -w + 3 + 1 = u. Sort 3, s, w in descending order.\nAnswer: 3, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - (1 + -2))\/(2\/(-206))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 - 22*i + 11. Let t(k) = -k**2 - 2*k + 1. Let n(c) = -22*t(c) + 2*v(c). Let r(u) = 16*u**2. Give n(r(x)).\nAnswer: 2048*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 2098118.\nAnswer: -63\/2098118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**2 - 8. Let z(c) = 2*c**2 - 3*c + 1. Let v be z(0). Let u(n) = -n**2. Give v*g(w) - 5*u(w).\nAnswer: -2*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ppvvppppppppvpvppppp.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.57 - -0.07. Let i = r + 1. Which is the second smallest value? (a) i (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100010101011 (base 2) to base 8.\nAnswer: -24253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-6 + (-6 - -12)). Solve 2*t - 5*d = -j*d - 25, 4*d - 22 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 817.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 749623, 749629, 749635, 749641, 749647?\n\"Answer: 6*w + 749617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from guggukucccgcgg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67315898 and 14?\nAnswer: 471211286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.13825 (b) -2\/9 (c) 2\/49 (d) -494 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 25 = -4*r, -3*y - 3*r - 2*r + 47 = 0. Suppose 1 = -c - 5*j - 3, 0 = -5*c - 3*j + 2. Calculate the greatest common factor of y and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2650 (base 11) to base 14.\nAnswer: 137d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -9*x - 92. Suppose -x*j + 1488 = -7*j. Calculate the least common multiple of 9 and j.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108*g - 1858 + 1858.\nAnswer: -1108*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n. Let f(a) = a. Let o(i) = -21*i. Let k(j) = 28*f(j) + o(j). Let r(g) = -6*g. Let u(h) = 5*k(h) + 6*r(h). Give w(u(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 92081\nAnswer: -92081.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 27*n - 30. Let f be r(-14). Which is smaller: f or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Suppose -x*u + 7 - 1 = 0. Suppose q + 4*y + 8 = -0, u*q = 5*y + 23. What is the remainder when 7 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14109 - 14100. Solve -5*l - f = -s - 2*l, 0 = 2*s - 2*l - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.34 and 24?\nAnswer: -104.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*m - 2 + 16, -11 = 5*m - 2*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1839123 and 5716.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*t - 173*t - 69*t - 31*t - 3 + 49*t to the form h + p*t and give p.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59297 - -6072. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 5*i + 76. Calculate t(0).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 5 - 372\/(-62). Suppose 0 = -9*f + 7*f - 3*r + 795, -h*f + 4*r + 788 = 0. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 5:51 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 18 = 4*r + v, -r - 3*v = 13. Suppose -4*b - r*u + 194 = -0*u, 1 = u. Suppose 5*l + 92 = -4*g - 87, g - 2*l + b = 0. Round g to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4114 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: Let h = 0.02 + -0.02. Let g = 0.03 - h. Let v = g + -0.43. Which is the second smallest value? (a) 2\/3 (b) 1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/10)\/((-3)\/12). Let h(j) = j**2 - 2. Let s be h(v). Suppose 35 = 3*z + g, 0 = -2*z + s*g + g + 38. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*n + 146, -4*p - 16 = -4*n + 88. Suppose -9*r + 19*r - n = 0. Solve 7 = -2*s + r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2675 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/(-3))\/((-5)\/(-45)). Let w be ((-8)\/12)\/(4\/g). Let s = w - 7. Solve -4*x = 5*h + 36, s*h + 12 = 3*x - 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 3. Let f(r) = 3*r - 4. Let h(j) = 3*f(j) + 4*y(j). Let a(g) = -10*g. Calculate h(a(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and (11 - 17)\/((-3)\/14).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 360?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150*r**5 + 3*r**4 - 178*r**2 - r wrt r.\nAnswer: -9000*r**2 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 0*w**2 + 3 - w + 4*w - 4*w**2 + 3*w**2. Let k be l(3). Let a(s) = -s**3 + 5*s**2 - 2*s + 1. Let o(u) = u**2 - 1. Let n(j) = a(j) - o(j). Give n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 4. Let h be 192\/120 - (-14)\/10. Let d(a) = -3. Suppose -29 = -2*n + 3*v - 6, -v = -n + 9. What is h*z(c) + n*d(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -13045\/51 != -256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 + -264. Solve 0 = f + 3*s - m, 9 = 5*s - 2*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3468 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 91.8. What is the closest to i in 44, 0.4, 2\/3, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 12 (b) 4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {v: 2, b: 2, j: 1, d: 1, t: 7, l: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4.94. Let u = -2.94 - m. Let f = u + 7. What is the nearest to -0.1 in -4\/7, -5, f?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 37 = -45 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -15*a**2 + 2*a + 9*a**3 - 6*a**3 - 4*a**3 - 23*a. Let y be t(-14). Calculate the greatest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 + 13*w + 60. Calculate c(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f, 0 = 2*z + f - 5*f + 4. Let t be 14 + (-7 + 9 - (z - 0)). Solve t*a = 20*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3534 + 21263\/6. Calculate the common denominator of r and -77\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47, 138, 245, 332, 363?\n\"Answer: -6*t**3 + 44*t**2 + t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388346915 to the nearest integer?\nAnswer: 19707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 + 1077. Is j\/10 - 6\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-4)\/(-490)*(-20)\/18*3. Let s be (-1 + 1)*1\/(-2). Is s > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r. Let t be r\/((-5)\/((-15)\/9)). Solve t = 7*g - 3*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 9*v - 3*v)*(2*v + v - v + 2*v + v - 5*v + 3 - 3 - v - 2*v - 3 + 3 + (-v + 3 - 3)*(-1 + 0 + 3) + 3*v - 3*v - 3*v - 4*v + 4*v + 5*v).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 a when four letters picked without replacement from abdaddaaahahdadhdbb?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.21 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 14908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 19512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 8. Let p be g(5). Let i be 2*(p - 1)*4. Let c be (-13)\/26 + i\/6. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 14*a**2 - 14*a - 19. Let p(g) = -g**2 - 4*g + 49. Let b be p(-7). Let z be 3*515\/105 + 8\/b. Calculate u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 750*s + 9609. What is q(-13)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 6:04 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -533 - -1102. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from {q: 4, e: 2, d: 3, t: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y. Let d be c(-5). Let m be 7 + (d + 3 - 1). Solve -5*p - 1 - m = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -251.6778966 to the nearest integer.\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -50*r + 16. Let k(b) = 19*b + 65. Let m be k(-4). Let f(d) = 10*d - 3. Let q(w) = m*f(w) - 2*x(w). Give q(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 102, 85, 50, -9, -98, -223, -390?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 259882 divided by -977?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*j + j - 5, -2*k - j - 10 = 0. Let f(u) = -12*u - 179. Let z be f(-15). Sort -1, -2, k, z in descending order.\nAnswer: z, -1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 4*z**2 + 4*z**2)*(10*z - z + 0*z) - 5*z**2 - 2*z**3 + 5*z**2.\nAnswer: 79*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 886.8732cm?\nAnswer: 8.868732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 0*g**3 - 3*g**3)*(-7*g + g + 0*g) + 7*g**4 + 240*g - 240*g + 0*g**3 - 3*g**4 + 0*g**3.\nAnswer: 34*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110011101000110 (base 2) in base 3?\nAnswer: 22000001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - m = 3*o + 5*m - 3, o + m = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1387*t**2 + 78*t**2 + 1309*t**2 - 23*t**3 - 20*t.\nAnswer: -23*t**3 - 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*t - 663*t = 5*w - 5, -2*t + 14 = -w - 3*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511263 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 11*t**4\/4 - 6*t - 5. What is the derivative of p(b) wrt b?\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**6\/18 + c**5\/3 - c**4\/4 - c**3 + 16. Factor z(u).\nAnswer: -u**2*(u - 3)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248 - -250. Suppose -4*b + 644 = w*j, 5*b = 9*j - 14*j + 815. List the prime factors of b.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 7) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + (-28 - -27) + -19)\/1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965.3028ng in kilograms?\nAnswer: 0.0000000009653028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/((1296\/(-8640))\/((-531)\/(-12))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*y**4 - 60*y**2 + 56941 wrt y?\nAnswer: 116*y**3 - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 10 = -2*h, 0 = -2*g + 4*h + 16. What is the greatest common factor of 42 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = -48. Let x be ((-12)\/(-7))\/(10\/140). Calculate the remainder when (68\/(-1))\/(x\/(-12)) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 2, -1, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5\/9, -2\/5, 63065 in ascending order.\nAnswer: -5\/9, -2\/5, 5, 63065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/3, -17\/8 in ascending order.\nAnswer: -17\/8, -1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -409, -814, -1209, -1588, -1945, -2274, -2569, -2824?\n\"Answer: i**3 - i**2 - 409*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 + 5802025*p**2 - 5802010*p - 11604040 = 0. Calculate p.\nAnswer: -1, 2, 1160404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**3 + 2705*n**2 - 313490*n - 316200 = 0.\nAnswer: -1, 170, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*25\/(-2250) - (-4)\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h + 4 + 3 - 7.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, e: 9, r: 4}. What is prob of sequence erar?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134411406.\nAnswer: 2, 3, 101, 293, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 14}. Give prob of sequence es.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 3495 + 6*x + 3497 - 6992.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -3*f**4\/4 - f**2 - 5*f + 4. Let z = -99 + 95. Is o(z) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 2*i**2 + 151 + 107*i - i**2 + 24*i - 105 as h*i**2 + n*i + j and give n.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 73 = -7. Suppose -5*s = -f - 22, -r = -2*f - 2*s - 3*s. Let k be 4\/((-3)\/(3\/f)). Solve 2*b = -k*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 3*m**2 - 3*m + 15. Let d be w(-4). Suppose -16 - d = -31*f. Solve -v = f*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-16) - (-28796)\/16. Let y = s - 540. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 124533 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -111, -164, -217, -270?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1920))\/(sqrt(726)*1 - sqrt(726) - sqrt(6)))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -67 - (8 - -22).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2\/7 + 81*m\/7 = 0. What is m?\nAnswer: -81, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - 1741*b**3 + 94025*b**2 - 94025*b**2 + (0*b**3 + b**3 - 5*b**3)*(-4 + 3 - 1).\nAnswer: -1733*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 2*(-1)\/(-6)*-51. Suppose -f - 2*o + 2 + 11 = 0, 0 = 4*o - c. Is f\/40 - 52782\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134734 rounded to three decimal places?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -105, -164, -223?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1032223 - -11?\nAnswer: -1032212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 133 - 290 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1486*q + 1760*q - 355*q + 262*q + 499*q)*(-3 - 3 + 9).\nAnswer: 10956*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*g = 20, 4*g - 12 + 40 = 4*l. Suppose 120 = 3*i + x + x, -3*i = -5*x - 141. Calculate the greatest common factor of l and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 172623231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-22) - (59160\/2856 + 1\/(28\/(-6)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 4. Let t(p) be the third derivative of p**5\/60 - p**4\/8 + 2*p**3\/3 + 3*p**2. Let w be t(3). Let z be m(w). Sort z, -1, 4 in ascending order.\nAnswer: -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 38*v. Let y be g(1). Suppose 5*q + y = -0*z + z, 4*z - 3*q = 118. Calculate the least common multiple of z and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63*g**2 - 18*g**2 - 22*g**2 + 1075 - 25*g**2 + g**3 wrt g?\nAnswer: 3*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:50 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*18\/28 + 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 22*n - 8. Let m be ((-18)\/5)\/9 - (-206)\/(-10). Let y be b(m). Suppose -108 = 4*a - y*a. Solve 0*l - a = 4*l - 4*z, z = -1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 11:02 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 353 = j, -3*j = -12*r + 7*r - 1049. What is the first derivative of -54*z - j + 189 + 198 wrt z?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213162 is divided by 1733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1824 + 2823. What is the highest common divisor of f and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2766896 and 4196.\nAnswer: 2902473904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-11\/5)*q\/((q**(-2\/7)*q)\/q)*q)**(1\/16) assuming q is positive.\nAnswer: q**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 + 25*g + 73. Let l(v) = 9*v**2 - 49*v - 139. Let c(t) = -5*a(t) - 3*l(t). Factor c(j).\nAnswer: -2*(j - 13)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/10*128\/112)\/((-6)\/(-45))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5243985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y**(2\/3)*y*y\/(y**5*y)*y**(3\/8))**8 assuming y is positive.\nAnswer: y**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 8. Let y be w(-13). Suppose -6 = -y*h + 14. Suppose 0 = -h*d + 2*d - 2. What is the second smallest value in -5, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48929 and 4763?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(sqrt(192) - -1*sqrt(192))*4 + (sqrt(192) + 1 + 1*sqrt(192) - sqrt(192) - (sqrt(192) - (4 + sqrt(192)*-1 + sqrt(192)))**2))*-1.\nAnswer: -1560*sqrt(3) - 1035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5351 + 665. Suppose -4*o = -3*h - g, 0*h - 3002 = -2*o + 3*h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7523.318 to the nearest one hundred.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132350484 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*t + 14 = 0, 5*i - 3*i + t - 10 = 0. Let b be (-466)\/(-5) + 3\/(-15). Is 31 a factor of i*b\/6*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180848 is divided by 171.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 12*o - 13. Let x be i(-9). What is the least common multiple of 4 and (4\/(-7))\/((-4)\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4220 (base 9) to base 2.\nAnswer: 110000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-19)*(-24)\/(-12)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bee when three letters picked without replacement from {e: 3, b: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) - (sqrt(3) + -2)) + 0 + (sqrt(3) - sqrt(243)).\nAnswer: -8*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 6.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8*l - 20*l + 7*l)*(3 - 3 + 2) - 4*l + 0*l + 0*l + 0*l - 2*l - 2*l)*(-3*l + 7*l - 2*l).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 1887 = 84*s - 102*s. What is the least common multiple of 2295 and s?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 - 6*m - 5. Give v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 13*h**5\/10 - h**4\/12 + h**3\/3 - h**2\/2 - 67*h + 2. Give b(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t + 5*t + 3*t + 4*t. Let i(h) = -3*h. Determine c(i(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(4*b**3 - 2*b**3 + b**3)*(-6 + 2 + 2) to the form m*b + u*b**2 + w*b**3 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1077624, -1077546, -1077468?\n\"Answer: 78*y - 1077702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -632*m**4*u**2 + 31*m**2*u**2 + 13*m wrt m.\nAnswer: -15168*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8*a = 24. Let p(y) be the third derivative of 1\/420*y**a - 3*y**2 + 0*y - 1\/210*y**5 + 0 + 0*y**4 + 0*y**3. Suppose p(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - g + 30. Give t(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j - 5*k = -4, -5*k = -5*j. Let u be j\/4*4 - -2. Solve -5*s = 4*p - u*s - 6, -p - 5*s + 11 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b - 38*b - 16 = 0. Solve -2*g = -3*u + b*u - 10, -u + 25 = 5*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 - 2. Let m = -7278.66 - -7278.8. What is the nearest to w in 3, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*z - 280*z = 10363. What is the remainder when z is divided by 135?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 14 = c, 2*c + 35 = -5*d - 2*c. Suppose 3*w - 3*q = -15, 3*w = w - 4*q + 14. Sort d, -4, w.\nAnswer: -4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 165*g + 28059. What is f(-175)?\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-615)\/492*44\/10)\/2.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6843750 divided by -2\nAnswer: -3421875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605668914 divided by -27.\nAnswer: -22432182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-70)\/(-4))\/(74\/3404).\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 79. Let v(x) = x + 2. Let u be v(5). Let g = -8 + u. Which is the closest to g? (a) w (b) -1\/2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhnhnnhnfnqnh. What is prob of sequence qfn?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1644544 + -2672804. Let x = z - -18260. Round x to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*i**2 - i**3 + 63*i - 16*i + 5*i**3 - 42*i.\nAnswer: 4*i**3 + 313*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-15 - (4 + -5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82975 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (19 + -11 + -20)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*l**2\/10 + 3361*l - 551\/10.\nAnswer: (l + 551)*(61*l - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = -2. Let g be 1*(0 + b - -6). Suppose 2*s + 2*s = 40. Calculate the highest common factor of s and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1392126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 - -4.2. Let n be 2\/4 - 27\/6. Let w(j) = j**3 + 5*j**2 + 3*j - 4. Let u be w(n). Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19903, 19744, 19585, 19426, 19267, 19108?\n\"Answer: -159*a + 20062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 783 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94 and 8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 8, p: 2, w: 3, q: 5}. What is prob of sequence ooqw?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 76. Which is the biggest value? (a) p (b) -0.1 (c) -5 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 240*r - 25. What is the hundreds digit of q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 4*y**2 + 3*y + 3. Let s(m) = -9*m - 4. What is -4*l(w) - 3*s(w)?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1047 + -1048. Which is the nearest to i? (a) 6.6 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 10, 4*s - 59 = 2*r - 3*r. Let t be 4\/(s\/36) + -3. What is the units digit of ((-4)\/t)\/((-3)\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 280471 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 555 = -8*c + 12*c, 3*z = -5*c + 714. What is the remainder when c is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52061, 52094, 52145, 52220, 52325, 52466, 52649?\nAnswer: 52880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1426441*a - 4*a**3 - 1426441*a - 1 - 5.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.23 + -0.41. Let b(k) = -2*k**3 - 26*k**2 + 49*k + 21. Let f be b(-14). Let p be (-13)\/f*(-6 - 0). What is the nearest to 1 in p, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*u - 5. Which is the closest to u? (a) -5 (b) -3 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + u = -3*u - 452, 4*u - 916 = -4*b. Let q be 0 - (-3)\/((-9)\/3). Find the common denominator of -27\/8 and b\/33 + q*3.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:59 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8101 or 8099?\nAnswer: 8101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*((-594880)\/156)\/(-55).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2142, -2134, -2126, -2118, -2110, -2102?\n\"Answer: 8*s - 2150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3)\/((-5)\/70). Solve 4 = -0*d + d, k + a = 4*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-10) + 3)\/(4\/10). Let v be 2\/(-7) + ((-1026)\/(-21))\/w. What is the greatest common factor of 48 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k**2. Let x(a) = 3*a + 5. Let c(z) = 4*z + 7. Let s(m) = -5*c(m) + 7*x(m). What is w(s(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 17*p - 3*y - 9 = 0, 0 = -4*p - 4*y + 20. Calculate the remainder when (-237)\/(-4)*28\/21 is divided by 1*(-9)\/p + 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 6*n - 126. Suppose 4*v + n*c - 9839 = 6*c, -2*v + c + 4927 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -574 - -1104. Calculate the least common multiple of v and 371.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62107*p**4 + 2*p**3 + 2*p + 3*p**3 - p**2 + 62111*p**4 - 1 as x + c*p**4 + u*p**3 + h*p**2 + n*p and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 345834272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(39)\/sqrt(12) - (sqrt(1573) + (sqrt(1573) + -1 + sqrt(1573) - sqrt(1573))))**2 + (2*sqrt(832) - sqrt(832))\/(sqrt(4) - -1*sqrt(12)\/sqrt(3)).\nAnswer: -41*sqrt(13) + 24053\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1922)\/62*10\/(-155). Factor 48\/13*t + 288\/13 + 2\/13*t**h.\nAnswer: 2*(t + 12)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5053 times 5\nAnswer: 2.5265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*w - z - 27, 5*w + z - 48 = 0. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 43.7. What is the closest to -1 in -0.5, -4, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**5 + 5862*q**4 + 3*q**3 - 72205*q**2.\nAnswer: -60*q**2 + 140688*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**2*o**3 - 4*m**2*o**2 - 54*m**2 wrt o.\nAnswer: -6*m**2*o**2 - 8*m**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 19. Suppose 4 = w - 4. What is the least common multiple of w and z(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581832977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -191\nAnswer: 19.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 89 - 35 = 0. What is the remainder when o is divided by (-714)\/(-45) - 2\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 6031.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2029*f**3 + 152*f**2 - f + 682020 wrt f?\nAnswer: -6087*f**2 + 304*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 612602*c - 612757*c + 1.\nAnswer: -155*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*q - 12 = -42, -q = 0. Sort 3, -1, -5, t in descending order.\nAnswer: t, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-1*sqrt(729)).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 105\/14*8\/6. Suppose -x*w = -7*w - 3. Let r(m) = 2*m**2 + m. Let v be r(1). Solve -2*h = -v - w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -15*a - 82. Let p be f(-6). Solve -4*x - p = v - 0*v, 0 = v - x - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/h**(-1\/9))*h)\/h)\/h)\/h*h*h\/h**(1\/2)*h)\/(h**0\/h)**(1\/22) assuming h is positive.\nAnswer: h**(43\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3647869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2753 + 2754. Which is the second biggest value? (a) 5 (b) 2\/7 (c) p (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3397 = -9*d + 2867. What is the greatest common factor of 87 and d?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 23*a + 26. Let p be h(-22). Suppose 2*d - 14 = -4*x, -p*x + 18 = -6*d + 4*d. Solve 4*g - 20 = -4*z, g - 1 = -2*z + x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - -10) - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 3. Let w be o(0). Let y = 19 - 7. Suppose 0*d - y = -w*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1025721051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m*t**3 + m*t - 37527*m - 56490*t**3 + 4 wrt t?\nAnswer: 3*m*t**2 + m - 169470*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138485634 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: Divide -2154 by -359.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -742154732*d**2*r - 5*d*r + 183*d - 108284 wrt d.\nAnswer: -1484309464*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23616 and 12637440.\nAnswer: 518135040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1*(-1)\/(-5)). Let w(k) = 4*k**3 + 2*k**2 - 3*k - 3. Let l(o) = -7*o**3 - 4*o**2 + 5*o + 5. Let p(r) = q*w(r) - 3*l(r). Give p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = 213. Let z be (-2)\/(-7) - k\/7. Let j(m) = -m**3 - 9*m**2 + 9*m - 6. Let f be j(z). Sort -3, 11, f in decreasing order.\nAnswer: 11, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 54 = -42 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16761 and -3?\nAnswer: 16764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/35)\/(1\/(-5)). Let f(n) = 9*n**2 + 2*n + 1. Let y be f(w). Suppose -2*t + 5*t - 9 = 0. What is the highest common divisor of y and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(-2*((sqrt(396) + (sqrt(396)*1 - sqrt(396)))*5*2 - 5*(0 + sqrt(396) + 1)))**2.\nAnswer: -79400 + 2400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/10 + 4*z**3\/3 - 28*z**2. What is the derivative of x(y) wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 117*n - 119*n + 12 = 0, 2*p + n - 4 = 0. Let v(y) = -y + 4. Give v(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3747324366 rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1\/(-1)*180\/(-2) and ((-26)\/(-4) + (-7 - -5))*6?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -20*q + 19. Let a(n) = -2*n**2 + 0*n**2 + 11 - 11 + 0. Give z(a(p)).\nAnswer: 40*p**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*((sqrt(114) + -1*sqrt(114))*-6 - sqrt(114) - sqrt(114)))\/(sqrt(384)*1 + (sqrt(6) - sqrt(12)\/(sqrt(10)\/sqrt(5)))) + 0.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-3*(-4)\/144)\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*g + 330786 - 328626 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/18 + 2 + (-25617)\/(-18) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110100101100000 (base 2) in base 6?\nAnswer: 10522120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000070123319 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -437, -659, -881?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1415445*x**4 - 3*x**2 - 35302263.\nAnswer: 5661780*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - -32. Suppose -53*q - 8 = -g*q. List the prime factors of (q - -7) + -5 + 196.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saeltsd. Give prob of picking 1 t, 1 d, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 6*u + 11. Let l be i(-8). Let s be (1\/2)\/(l\/(-40)). Solve 3*q = 0, s*q = -5*p + 5*q + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.03, -2, 0.06, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.478 times -14900\nAnswer: 22022.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5990*q**2 + 80*q + 29 wrt q.\nAnswer: 11980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/1)\/((-13)\/(-39)) + 0. Let f be (-12)\/(-7) + (-4)\/(-14). Suppose 136 = z*n - 2*g, -6*n + n = f*g - 248. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-101 + 99) + ((-56)\/20 - (-1)\/(-5)). Let r = 0 + 2. Let x = 0.2 - -0.8. Put r, 3, x, d in increasing order.\nAnswer: x, r, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-28)*(-4)\/8. What is the fourth smallest value in -5\/4, -2, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -5 (b) -4 (c) -0.4 (d) 0.14 (e) -2\/183 (f) 25 (g) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 970074, 1940143, 2910212, 3880281, 4850350?\nAnswer: 5820419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14243 + -14071. Calculate the lowest common multiple of s and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**6\/240 - t**5\/240 + t**3\/2 - 2*t. Let i(q) be the second derivative of g(q). Factor i(a).\nAnswer: -a*(3*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205 and 465227.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 3, 0, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.8.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 11) to base 4\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 330, 735, 1276, 2019, 3030?\n\"Answer: 11*z**3 + 2*z**2 + 322*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((132\/16)\/33)\/((-49)\/56).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s**3 - 129*s - 128. Let q be c(-1). Let v(z) = 4*z**2 - 40*z - 29. What is v(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*a + 32 + 8, 5*a = 4*x - 1. Let m = x - -10. Suppose s + m*s - 5 = 0, 3*i = -s + 67. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3072?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqt when three letters picked without replacement from twtwttttwwwtq?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 2*x**3 - x**3)*(8*x**2 + 11*x**2 + 2*x**2) + (-4*x + 0*x + 6*x)*(-2*x**3 + 0*x**3 + 0*x**3)*(x - 1 + 1).\nAnswer: 38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2\/15 (b) -2\/9 (c) -5 (d) 1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, 2, -4, 26, -2, 111 in decreasing order.\nAnswer: 111, 26, 24, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/2*((-10)\/10)\/((-9)\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47026726.\nAnswer: 2, 17, 1383139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 4*r + r)*(695*r + 436*r - 767*r) in the form w*r**2 + v*r + c and give w.\nAnswer: -1820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -686.7 - -687. Sort 2\/13, c, 81, -0.2 in increasing order.\nAnswer: -0.2, 2\/13, c, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880778 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3564) + 0 + (sqrt(3564) - sqrt(3564)*-2)*2)*-6 - (-1*sqrt(3564)*-1 - sqrt(3564))*3*-6)**2.\nAnswer: 6286896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 28.6. Let r = o - -13.6. What is the nearest to r in 1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6242 - 6242.2. Let g(a) = a**2 + 6*a - 3. Let w be g(-6). Let s = 143.5 - 144. What is the closest to 1 in s, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 196 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.05 + 0.05. Let g = 5.8 + r. Let q = 0.475 - 0.175. Which is the nearest to g? (a) -2 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d - 180. Let q be 27\/5 + (-8)\/20. Suppose 0 = n - q*n + d. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-914)\/(-26) - (5 - 252\/52). Let p be 32\/5 + 21\/i + 3. Suppose -p*h + 7*h + 78 = 0. What is h rounded to zero dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000455359023 rounded to 6 decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/5 + 88*n\/5 + 968\/5 = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/(-125) + 1007\/265. Let t be (1 + 0)*3*3. Solve -s + g*s = -t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6*w = -w + 35, 5*w = -4*i - 27. Let n be ((-21)\/12)\/((-2)\/i). Is n not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002172146 to 6 dps.\nAnswer: 0.000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1554 = 5*g - 246, -6*g + 1635 = 5*x. Calculate the remainder when x is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, r: 3, b: 5}. What is prob of sequence bbbn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110012 + 101002020001?\nAnswer: 101001202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-13)\/d)\/d)\/(d\/d**6))\/((d*d**(-3\/4)\/d*d)\/d**7) assuming d is positive.\nAnswer: d**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:19 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/5 - 108*b\/5 - 2916\/5 = 0. Calculate b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e + -4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 1712.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42944 by 3.\nAnswer: 42944\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -258892a0 + -1?\nAnswer: -258892a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12257 * -0.1.\nAnswer: -0.012257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**5\/5 + 54*v**4\/5 - 213*v**3\/5 - 546*v**2\/5 + 468*v + 840 = 0?\nAnswer: -2, 5, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 1. Let v = 93 - 91. Let k be t(v). Suppose p = 0, 2*g - g = -k*p + 109. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240.37 - -244.1705. What is t rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(12259\/322)*26.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 15) in base 11?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9798 and 8?\nAnswer: 39192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -72?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 36. Solve -17*d**2 + 7*d**2 + a*d**2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3004346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271202917?\nAnswer: 14591, 18587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 3*x + 14, 10*x = 2*i + 150 - 178 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502*v = -501*v - 1550. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 1. Let y be (6 + 15)*(-180)\/(-14). Suppose b*n = 1208 - y. List the prime factors of n.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + n = -6*i + 85, -i + 43 = 4*n. Let z(a) = -a**2 + a + 12. Let j be z(0). Let o be -3 + 8 - j\/(-3). Calculate the highest common factor of o and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(5\/6)*g**(-3\/4)\/g)\/(g*g*g*g**11*g*g*(g*g**(-10)*g*g)\/g) assuming g is positive.\nAnswer: g**(-115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 - (7 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 3*z + 297 = 0, -z = -4*q + 589. Suppose -5*c - 42 + q = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - -2) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 2. Suppose 10 = -4*x + 9*x. Suppose 9 = -2*d + 3*v, -x*d - 5*v - 3 + 2 = 0. Let h(a) = 4 - 2 + a**2 + 2 + 2*a**2. Give d*h(q) + 7*l(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-8) - -6) + (-297)\/120?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 240*m + 14429. Determine x(120).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2) + 3*-1. Let n be (3\/i)\/(1\/2). Suppose 5*y + 7 + 3 = 0. Does n = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, z: 13, l: 3, d: 1, y: 1}. What is prob of sequence lz?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 7\/5 (b) -2\/7 (c) -5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3348 = d + v, -8*v + 7*v - 10064 = -3*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134\/1 - (2 + 0 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12a57 - -73?\nAnswer: -129c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**4 + 155108*u**3 - 3004983938*u**2 - 90254243040*u - 677168668800 = 0?\nAnswer: -15, 38792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*n + 3*n. Let s(a) = 23*a + 2. Let r be s(n). What are the prime factors of ((-24)\/(-10))\/(r\/(-280))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 863*z - 855*z - 18936 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z - 52. Let h = 18 - z. Suppose -5*q - h*y = -9385, 4*q - 5*y - 5219 = 2316. Round q to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247 - -372. Let a = d + -124.9994. What is a rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a**2 - 9*a + 19*a + 3 - 15*a**2 + 6. What is v(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 4:38 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -531*g**2*m - 989561978*g**2 + 110*g*m - 118*m wrt m?\nAnswer: -531*g**2 + 110*g - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 7:21 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f + 1\/4*f**4 - f**2 + f**3 + 1\/6*f**6 - 3\/5*f**5 - 2. Solve k(y) = 0 for y.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 39*y + 40*y - 6, 0 = 3*i - 4*y - 31 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 - 190*s + 148*s - 2*s**2 + 1 + 0*s**2 - s**2 - s**2 + (s - 6*s + s)*(2*s + 4*s - 4*s) + s - s - s**2.\nAnswer: -18*s**2 - 42*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 3*p - 5. Let j be a(-3). What is the highest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 - -199. Solve g = l*d + 12, -2*d - 6*g = -2*g + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1322 + 1326. Which is the closest to -0.1? (a) l (b) 5 (c) 8 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 30858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -2*l + 2*l**2 - 2\/3*l**3 - 1. Factor i(f).\nAnswer: -2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/14 and -17\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (62 - (-5 + 45))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9\/4, -1\/6, -3, 3\/4, 2\/19?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408901980.26 + -0.5?\nAnswer: 408901979.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*i**3 + 80*i**4 + 5 + 5*i**2 + 30*i - 166*i**3 + 0.\nAnswer: 5*(i - 1)**2*(4*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7733 + 10.7733. What is the second smallest value in 6\/5, -3, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613587761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -45*v - 2. Let s(w) = 28*w. Determine s(j(i)).\nAnswer: -1260*i - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**5 - 8396*k**4 - 152424*k**3 = 0.\nAnswer: -18, 0, 2117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 105 = 99. Let v be 12\/d + 20\/7. Let -2\/7*n**2 + v*n + 8\/7 = 0. What is n?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - m - 1. Let y be r(-1). Let d(h) = h**3 + 5*h**2 - 5*h + 8. Let c be d(-6). Solve 2*x - 15 = 5*t - 38, -c*t - y = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4 - 0. Let o(l) = 3 - d - l + 2. Let j be o(4). Solve j = 4*r - r, y = -2*r - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -6\/12331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r**3\/r)\/r*r))\/r)\/r)**(-18) assuming r is positive.\nAnswer: r**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15781 and 8213?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 + 1 - 11) + 22 + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-6 - (-3 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(7*(-9)\/(-2394)). Calculate the greatest common divisor of j and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99120 = -61*x + 73*x. Is x a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/9 + 2215972*w\/9 + 55398050\/9 = 0. Calculate w.\nAnswer: -1107961, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6390*t + 49579*t**3 - 976*t - 49578*t**3 + 238*t**2 + 8747*t.\nAnswer: t*(t + 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 7*m**2 - 45*m + 173. Let o be w(4). Solve 24*p = o - 241 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*-0.9\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 4:06 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, -40, -142, -326, -616, -1036?\n\"Answer: -4*b**3 - 5*b**2 - b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1876 + -1876.4. What is the second biggest value in 0, 18, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/20020 and 33\/628.\nAnswer: 3143140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {y: 6, o: 4, p: 3}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + -0.3. Let m = 0 + 0.3. Let w = m - 0.3. Which is the nearest to 0? (a) 2 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**29*a*a**(-38)*a assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9747070*i**4 - 338*i**2 - i - 3137.\nAnswer: 233929680*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*m. Let g be 3\/(-6)*(-6 - m). Suppose -34 = -4*q - 3*t, 8*t = -q + g*t. What is the remainder when 19 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/9 + 55\/72. Let v be ((-5)\/12)\/((-1)\/(-3)). What is the closest to 2 in -3\/2, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1967682 to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g = 8*g + 23400. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72*922\nAnswer: 66384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 51 - -30) + -14 + 33.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/4 + (-15)\/(-4). Suppose -i = -5 + b. Let l(y) = 5 + 3*y - i - 4 - y**2. What is l(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-160)\/(-180))\/(4\/18). Suppose -3110 = -a*g + 2374. List the prime factors of g.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1\/(-8) - 315\/(-140). Suppose s*p - 4202 = u, 5*p - 4*p - u = 2103. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1, 0, -2.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*u + 3*x - 116, x - 55 = -2*u. Let t = 70 - u. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-28) - 3)\/(-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*sqrt(1088)*2 - -4*(-4 + sqrt(1088) + 2))**2.\nAnswer: 5888*sqrt(17) + 2302272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -17. Let u = j + 9. What is the highest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390498 is divided by 1583?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.58 + 0.26. Round j to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 453, 54, -2\/17, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-104)\/(-65))\/((-24)\/20))\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -490 - -490. Let g(c) = 27*c - 20*c - 9*c + 1 + 6*c**2 + r. Determine g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*j = -270*j + 190 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 4, l: 2, n: 6, h: 2}. What is prob of sequence hr?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {i: 4, t: 6, w: 4, b: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3636 - 3655. Is -131\/7 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**3 - w**4 + 5*w**2 + 4 + w**3 + 0*w**3 - 3*w**3 to h + u*w**4 + t*w**3 + l*w**2 + v*w and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.052? (a) 1 (b) -5 (c) 1.5034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 9. Let a be -60*3*z\/45. Suppose -2699 = -a*f + 2081. List the prime factors of f.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838691533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/(-702))\/((-3)\/(-117))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32021 (base 4) to base 8\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 502 + 43. Suppose -3*b + w = 31. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 832605 and 22137?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13394120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 22*u**2 + 18*u - 1. What is v(-23)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7880427, 7880426, 7880425, 7880424?\nAnswer: 7880423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 30 + 78)*(4*g**3 - 3*g**3 - 2*g**3) + 6*g**3 - 2*g**3 - 2*g**3.\nAnswer: -74*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13440 and 252420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/523 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 17 = -5*u, 31 = -4*q + u + 65. Which is the fourth smallest value? (a) 34 (b) 5 (c) 2\/9 (d) 1 (e) q\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z - 30. Give i(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792 = -13674905*k + 13675103*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 16*m**2 - 37*m + 8. Let b be d(18). Let n = -0.104 + -0.896. Sort b, n, 0 in increasing order.\nAnswer: b, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 4:27 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046029517 to seven dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305328353?\nAnswer: 11, 41, 101, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 + 877*a - 691*a - 789*a to the form y + p*a + x*a**2 + g*a**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2726 is divided by 904?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.222, -2, 1\/19, -5, -94, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993 times -11.346?\nAnswer: -22612.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.51218t to kilograms.\nAnswer: 3512.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1519 divided by 5.\nAnswer: 1519\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -56.98, 2, -2579?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 828 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**4 + 4*h + 7*h**4 + 7*h**4 - 18*h**4 - 144 - 2*h as d + l*h**3 + r*h**4 + f*h**2 + v*h and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8\/(q*q*q**12) assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7064106420.\nAnswer: 2, 3, 5, 7, 16819301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4022230 + -2?\nAnswer: 4022223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112549581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -55*t**3 + 33*t**2 + 11*t - 17. Let u(c) = 26*c**3 - 16*c**2 - 5*c + 8. What is -13*u(a) - 6*w(a)?\nAnswer: -8*a**3 + 10*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -308 + 431. Suppose 0 = -4*s + 11 + 1. Suppose 0 = s*q - 12, c = 3*h + 2*h - 3*q. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = -161*j - 283*j - 30 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, 281, 471, 661?\n\"Answer: 190*p - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1224, -5, -0.021, -2?\nAnswer: 0.1224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from cmmyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 328 - 320. Suppose 0 = x - 3*i - i - 21, -3*i = 12. Calculate the remainder when b is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-12)\/(-88)*6*2\/18\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2649 * -2\nAnswer: -0.5298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let a = 48 + -29. Let w(y) = 299 - 299 + a*y. Give w(z(x)).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, f: 7}. Give prob of picking 1 f and 2 g.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 equal to -160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 53 + 32. Let v = n - 17. Is v less than or equal to 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:43 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 15*t**2 + 98*t**2 - 4*t.\nAnswer: 83*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*8*(-1965)\/(-2620)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 10}. Give prob of sequence mm.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/5))**(4\/7) assuming w is positive.\nAnswer: w**(-24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - p = -3*p + 38, 4*p = -4. Calculate the remainder when v is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 25, -11, -2, 416, 5 in descending order.\nAnswer: 416, 25, 5, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 11. Let d(i) = i**3 - 2*i**3 - n*i**2 + 5 - 3*i**2. Let m be d(-6). Solve 0 = -6*b + 3*b + 3*r, b = m*r - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b - 70. Let g be i(-20). Suppose -5*q + g = -0*u - 4*u, -u = -4*q + 13. Put q, -3, -1, 5 in decreasing order.\nAnswer: 5, q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/49 and 8\/20*(129\/(-14))\/3.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*t**2 + 36*t - t**2 - 2*t**4 + 18 - 4*t**3 + 5*t**2 = 0. What is t?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -555327 or -555333?\nAnswer: -555327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -337 - -2?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8451, -33786, -76009, -135120, -211119?\nAnswer: -304006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1662\/(-680) - (-196)\/140 and (-7)\/6*1023\/31.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1577?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*c**2 + 5739*c - 5739*c)*(c + 3*c + 3*c).\nAnswer: 553*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15880 - 3831*u - 15880)*(-2 + 0 + 0)*(0*u**3 - u**3 + 0*u**3).\nAnswer: -7662*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-942\nAnswer: -941.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 39.34 (b) 6\/11 (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**27*r**(-15\/7)*r**(-3)*r**11 assuming r is positive.\nAnswer: r**(230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:29 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220469 or 220531?\nAnswer: 220469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2035 - 825226*f - 2035.\nAnswer: -825226*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*n**2 - 15 - 155*n - 158*n**2 - 157*n**2.\nAnswer: -4*n**2 - 155*n - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -124*i - 31. What is the units digit of v(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 142*n - 11 - 64*n to the form p + a*n and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-23 - 121 + 58)*(-k - 4*k + 3*k).\nAnswer: -172*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30374152 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12682858 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67947, -136106, -204265, -272424, -340583?\nAnswer: -408742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4*a - 7. Suppose 4*t + 4*l - 92 = 0, -6*t + 5*l + 105 = -t. Let p = 20 - t. What is the least common multiple of r(p) and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*r - 35*r + 33. Let z = 49 - r. Calculate the greatest common divisor of z and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/(7\/(-14)). Suppose 23 = h*y - 52. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 7*z - 20. Calculate i(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113615215 (base 7) to base 5.\nAnswer: 3300440414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17072036 to the power of 1\/2, to the nearest integer?\nAnswer: 4132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f**6 - 11*f**2 + 1\/1680*f**8 - 1\/1050*f**7 + 0 + 0*f**3 + 0*f**4 + 0*f + 0*f**5. Suppose v(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 114 (b) -0.5 (c) 8 (d) -12 (e) -0.9 (f) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 18*y**3 + 16 + 14 + 10.\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904263.\nAnswer: 3, 383, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 1226*j + 802516\/3.\nAnswer: 2*(j - 1586)*(j - 253)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((7 - 14) + 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 486 divided by -281.\nAnswer: -486\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0302283281 to 5 decimal places.\nAnswer: -0.03023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 1, -1.\nAnswer: -10, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 13. Suppose 2*n + 5*k - 7 - 8 = l, -n + 12 = 4*k. Suppose -2*o + 20 - 12 = n. What is the least common multiple of o and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 99*v**4 + v**2 - 4*v. Let t(b) = b**4 - b**2 + b. Let d(n) = -g(n) - 3*t(n). Find the third derivative of d(x) wrt x.\nAnswer: -2448*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -48 - -35) + 2 - (-5 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -161859 > -161859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*y - 100 = -264*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103960*k + 103961*k + 48 + 3*k**3 - k**3 + k**4 to h + c*k**2 + f*k**3 + j*k**4 + g*k and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12642242, 12642242, 12642244, 12642248, 12642254?\n\"Answer: i**2 - 3*i + 12642244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o - 1. Let i(x) = -7*x + 0 - 1 - 3*x. Let g be (-32)\/96 + (120\/(-9))\/(-4). Suppose -21 = 6*m - g*m. Calculate m*c(d) + 5*i(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11*c + 6*c = 3350, -1335 = -2*l + c. Is 35 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5943168 millimeters to meters.\nAnswer: 0.0005943168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -805*g**6\/24 - g**4\/24 - 764*g**3\/3 + 6414*g**2. Find the second derivative of f(t) wrt t.\nAnswer: -24150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -10\/3 (c) -0.05 (d) 0 (e) 7653\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4151 + -4103. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 13*t**3\/6 + 8*t**2 - 22*t. What is the first derivative of g(j) wrt j?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {l: 3, e: 4, r: 4, q: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*(36\/(-27) + 1). Suppose -3*b - 11 = -l*t - 2*b, 0 = -2*b - 2. Suppose -1\/7*c**4 - 8\/7*c**3 - 24\/7*c**t - 32\/7*c - 16\/7 = 0. Calculate c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1270992479, 2541984959, 3812977439, 5083969919, 6354962399?\n\"Answer: 1270992480*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*d - 70*d + 26 = 0. What is the closest to -2 in d, 16, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15729 (base 13) in base 3?\nAnswer: -2001220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 12*f**2 + 2*f + 5. Let s be y(-6). Let h be (-4)\/8 - s\/(-2). Let u be (-2)\/((-2)\/h + (-147)\/318). Which is greater: -54 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 2156935587 - 2156935587.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 0, 62, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467979168.\nAnswer: 2, 3, 479, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462878 and 988.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/8 of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 523*g**2 + 57 + 530*g**2 to w*g**2 + h + d*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -0.2. Let i = t - 1.75. Let u be ((-2)\/65)\/((-2)\/10). What is the second smallest value in -3, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000120 (base 3) to base 8.\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 + 421406*b + 6320865 = 0. Calculate b.\nAnswer: -421391, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*s - 74560 + 77320 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38299\/7112 - 473\/127. Calculate the common denominator of y and -97\/420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 517 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 12040 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 5. Let w be r(-7). Let m(s) = -19*s**2 - 2*s + 2*s + 17*s**w. Let h(i) = -4*i - 5*i + 11*i. What is m(h(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 3*k + 4440 = 0. Let l be 37\/k*30\/(-4). Let v = 0.017 - 0.417. What is the second smallest value in l, -0.037, v?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + 1 - (-24 + 21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -78996, -78989, -78978, -78963, -78944, -78921?\n\"Answer: 2*g**2 + g - 78999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37675\/3 - 12846. Let p = -10361\/36 - s. Calculate the common denominator of p and 113\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-75))\/(18\/(-15)). Let h = -18 - -18.3. What is the second biggest value in h, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009925418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39906444.\nAnswer: 2, 3, 61, 54517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 11:16 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18418736 to the power of 1\/2, to the nearest integer?\nAnswer: 4292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 62 = 2*r, 8*r - 4*r = 3*z - 138. Let t(f) = -26*f**3 - 22*f**2 + 12*f - 8. Let j be t(r). What is j rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24334 + 234*q - 93*q - 24334.\nAnswer: 141*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 183360407 to the power of 1\/3, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = 11*m - 24 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 13. What is the least common multiple of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - z + 22. Let m(g) = 4*g**3 + 2*g - 1. Let t be m(1). Let b(u) = -u**3 + 6*u**2 - 7. What is the lowest common multiple of r(0) and b(t)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 70224.3 years?\nAnswer: 7022.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1024 or 1022?\nAnswer: 1022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + (-32)\/6. Let q be (-2)\/m*10\/(-26). Let u = -4453 + 4454. Which is the closest to u? (a) -0.1 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23\/4, 5, 28, 6, 3, -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 39. Suppose -5*m = -131 - r. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1742756951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 20120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z. Let l(t) = -1600*t**2. Calculate l(a(y)).\nAnswer: -160000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*d = -651, -4*d - 671 - 418 = -5*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25847402 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: Simplify ((b**(1\/6)\/(b\/b**0))\/(b**(-2\/5)*b)**(-22))**15 assuming b is positive.\nAnswer: b**(371\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23519705, 23519710, 23519713, 23519714, 23519713, 23519710?\n\"Answer: -w**2 + 8*w + 23519698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.10627 - 33.89373. Which is the closest to 0.7? (a) -1\/2 (b) i (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449271.631 plus -0.3?\nAnswer: 449271.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -169*z**3 - 388*z**2 - 5*z + 30. Let d(x) = 84*x**3 + 194*x**2 + 2*x - 12. Let o(k) = -10*d(k) - 4*g(k). Find the third derivative of o(a) wrt a.\nAnswer: -984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 18*z**2 + 4*z + 4. Let g(a) = -5*a**2 - 162*a - 59. Let h be g(-32). Let b(l) = 2*l**3 - 17*l**2 - 5*l - 5. Determine h*o(n) + 4*b(n).\nAnswer: -2*n**3 + 22*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnytinttmmkkkk. What is prob of picking 2 m and 1 i?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:23 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12291 + 12314. Solve 107 - f = -12*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67583 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.52 - -47. Let f = 21 - y. Round f to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3\/5 (c) 0.494 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -3\/4, 4.09, -0.5.\nAnswer: -3\/4, -0.5, -2\/15, 4.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11230574 and 6.\nAnswer: 33691722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -0, -5*g + 39 = 4*h. Solve y - g*m + 3*m = 14, 3*m = -12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59951\/10 - 5995. Let w(l) be the second derivative of o*l**2 - 2\/15*l**3 + 1\/10*l**4 - 1\/25*l**5 + 6*l + 1\/150*l**6 + 0. Solve w(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.3 - -5.3. What is the third biggest value in -2\/15, 1\/3, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2707, -2729, -2751, -2773?\nAnswer: -2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17954.\nAnswer: 2, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 14. Let g be -1 + 2 + (0 - 3). Let h(t) = t + 2. Let l be h(g). What is the closest to l in p, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 3. Let u be t(7). Suppose 16 = -u*n - 0. Is n\/(-10) + 168\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9754469\/6180928 + 3\/96577. Calculate the common denominator of 2*44\/(-6) + 1 and f.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-4))\/((-1)\/(-30)). Let y = 205 - r. Let a = 36 - 26. What is the highest common factor of a and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -627624 (b) 4 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s + 1. Suppose -20 = 2*c + 2*z + 2*z, -c + 2*z + 2 = 0. Let y be u(c). Suppose y = 2*h - h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.12 - 1.22. Let c = z + 0.1000188. Round c to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:18 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -2*m**6\/15 - m**3\/3 - 23*m. Find the second derivative of l(i) wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -172*n + 3902. Does 33 divide c(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12 and -191\/1817008620.\nAnswer: 1817008620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 + 288*p**2\/5 + 584*p\/5.\nAnswer: -2*p*(p - 146)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 99169 to the power of 1\/2, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.1585 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 343448801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -76705.1727 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 59 = 79. Let c(v) = -v**2 - 47 + 35*v + 0*v**2 - 7*v + 2. List the prime factors of c(x).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -70\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 801?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 8. Let v(w) = -1. Let q(h) = 2*h**2 - 12*h - 3. Let g be q(6). Let a be 2*3 - (-1)\/g*0. What is a*v(o) - c(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -16*c + 27*c. Do 1\/226 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**11\/498960 - s**10\/68040 + s**9\/90720 + 8*s**5\/15 + 12*s**2 + s. Let k(c) be the third derivative of z(c). Solve k(g) = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -3)*3*2.\nAnswer: -18 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -12*p - 50. Let r be f(-14). Let c = -115 + r. Solve 2*t - 10 = 6*t + c*j, 5*t + j + 18 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:15 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - h**3 + h**3 - 3*h**5 + 0*h**5 + h**5 - 3*h**5 + 3*h**5 + h**5 + 57*h**2 + (-h - 6*h + h)*(h**4 - 3*h**4 + 3*h**4).\nAnswer: -6*h**5 + 57*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52441*c**3\/4 - 5916673*c**2\/4 - 258670*c - 11300 = 0.\nAnswer: -20\/229, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45450 + -45445. Solve 3*i - h = 5*w - 6*w, 3*w - 5 = -4*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2005, -1774, -1437, -958, -301, 570, 1691, 3098?\nAnswer: 4827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from jvwwvjjjvjvjj?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)\/(sqrt(7) - (sqrt(7) + -3*sqrt(7))) - sqrt(21)) + (sqrt(84)*2 + sqrt(84))\/sqrt(4))\/(2*(-2*sqrt(7)*-2 + sqrt(112)*-5)).\nAnswer: -7*sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 14*x**2 - 13*x + 3. Let w be z(-13). Let y(u) = 13*u**2 + 2*u - 10. What is the tens digit of y(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (2 - (-1 - -1)). Suppose i + p*i = 0. Let g be (i + 9)\/(2\/26). 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: Expand (0*a**4 - a**4 - 2*a**4)*(1 - 2 + 0 + (-4 + 0 + 5)*(1 + 2 - 4)) + (-2*a**3 + 4*a**3 + 0*a**3)*(-2*a - a + a) - a**4 + a**4 + 2*a**4.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxmxmmxmxmssxmx. What is prob of sequence smx?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 8. Let l be x(6). Let d(h) = 33*h + 2. Let z be d(l). Suppose -2*p = -0*p - 34. Calculate the greatest common divisor of z and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3943 + 179. Is x a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, 258, 0, 14 in descending order.\nAnswer: 258, 14, 5, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - f - 3. Suppose 21*y + 42*y - 126 = 0. Let a(o) be the third derivative of 7*o**5\/60 + o**4\/12 + 7*o**3\/6 + o**2. Calculate y*a(x) + 5*t(x).\nAnswer: -x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4306547, 4306546, 4306545, 4306544, 4306543, 4306542?\nAnswer: 4306541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 + 31*c**2 - 31*c - 6. Does 3 divide w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 2. Suppose 0 = 6*o - o. Let g be b(o). Let p be ((g - -1) + -3)*-1. Solve 2*y + p*y - 2 = -w, y - 4*w = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5457 is divided by 264?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 423173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 424*w**2 - 460*w - 15485. Calculate u(-423).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -47?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/533 - 52831\/4264. What is the common denominator of r and 51\/(-40)*(-1 + -3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123030003112 + 3?\nAnswer: 123030003121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/40 and 36\/85.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43 * -747.2\nAnswer: 32129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 9:11 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -70901 (base 12) in base 4?\nAnswer: -203300101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2\/11 (c) 5 (d) 0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -5161?\nAnswer: -1032.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 6*j + 4*m = -9*j - 44, 0 = 36*j + 3*m - 84 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1253 - 646. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*u + 26, 8 = -u - 3*g + 2*g. Let i = -7 - u. Solve 2*l + 2*l = 4*z + 28, i = -5*z - 2*l - 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*s + 8*s - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1125504738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 135*h - 1126. Give k(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 12\/25 of a day?\nAnswer: 41472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4783 by -47.\nAnswer: -4783\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**(1\/2)*r))**(40\/3)\/(r**0)**10 assuming r is positive.\nAnswer: r**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**16*h)\/(h*(h\/(h*h**(2\/37)*h))\/h*h) assuming h is positive.\nAnswer: h**(668\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 5*r**4\/12 - 85*r**3\/6 + 4*r**2. What is the derivative of d(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/5 - 36\/(-20). Let v be (-4 + p)*-2 - 5. Let o be ((0 - v)*-329)\/1. Round o to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9109*-19.\nAnswer: -173071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/21*0\/4)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 28 - (76 + 13)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5764 - 5744. What is the nearest to 1 in b, 3, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10\/7)\/x)\/(x\/(x**(-7)*x)))**(-1\/20)*x*x**(1\/2)*x*x*x**(-9)*x*(x*x**8)\/x*x\/(x\/(x*x*x**(2\/7)\/x*x*x))*x assuming x is positive.\nAnswer: x**(289\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2\/41, 17\/24, -4 in increasing order.\nAnswer: -19, -4, -2\/41, 17\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(18\/(-20)*80\/(-48)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -18*z + 65 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1027 and 29509.\nAnswer: 30305743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 19, 7, 9 in ascending order.\nAnswer: -5, 0, 7, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 5*u - 3. Suppose -3*w - 2 = -5*j, -4*j - 10 = w - j. Give d(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25046 + -24881. Calculate the remainder when 182 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/60 + o**4\/2 + 8*o**2. Find the second derivative of p(k) wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1dcb3 - -e?\nAnswer: 1dcc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 95.3729 - 95.0729. Suppose 3 = x + 2*x. What is the closest to x in -1, i, -0.41, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000470916 to 6 decimal places.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 9*t - 147. What is the hundreds digit of k(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5116?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 14. Let l(s) = -f*s - 15*s + 27*s + 0 - 2. Give l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8413 - 8375. Solve -74*n - 112 + f = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 3, -40\/9, 0, 1\/2?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-5)*16\/(-84)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 7 - -3) + 1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 1535 = -c - 1534, 7*r + 5*c + 46 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*c**5 - 990*c**4 + 3024*c**3 - 2840*c**2 + 192*c = 0. What is c?\nAnswer: 0, 3\/41, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.06 (b) 4954 (c) -4 (d) -0.4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 + 2*i**2 + 3*i**2 + (0*i**2 + 4*i**2 - 3*i**2)*(1 + 3 - 3) - 50*i**2 - 29*i**2 - 14*i**2 to the form p + c*i**2 + q*i and give c.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1709584310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 8) in base 12?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -167960308, -167960303, -167960296, -167960287, -167960276, -167960263, -167960248?\n\"Answer: k**2 + 2*k - 167960311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16935?\nAnswer: 3, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2746 and 57\/5492.\nAnswer: 5492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 2. Determine w(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**4 - 34236*h - 45*h**3 + 34236*h + (8*h**3 - 18*h**2 + 18*h**2)*(-3*h + 5*h - h) as b*h**4 + r*h**2 + s*h + l + m*h**3 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(72)\/(sqrt(40)\/sqrt(5))))**2 + -5 - ((sqrt(1900)*1 + 3)**2 + (-2*sqrt(1900)*3)**2).\nAnswer: -70295 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 8 - (7 + -17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41529370?\nAnswer: 2, 5, 4152937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 - 6*x**2 + x**2 + 3*x**2 - 2*x**2 to the form y*x**2 + w + p*x**3 + f*x and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 + 889*l**3 + 897*l**3 - 1782*l**3 in the form o + b*l + s*l**3 + f*l**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 21*t + 407. Let n = t - -33. Suppose q + o - 6*o = 22, 0 = 5*q + 3*o + 2. Put -2, q, n in descending order.\nAnswer: q, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2328 divided by -6.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43.46 in 3, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 0*y + 1\/2*y**2 - 5. Let k(a) = 26*a**2 + 29*a**2 + 5*a - 5*a. What is q(k(b))?\nAnswer: 55*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2746 - k**2 - 36*k - 2747 + 0*k**2 to f + j*k + a*k**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(1 - (-2 - -2)). Let f be ((-2 - -4) + -1)*2. Let o be 1 - (h + -2 - f). Solve -5*t - 3*u - 4 + o = 0, -4*t + 40 = -4*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4118, -7155, -10256, -13421?\n\"Answer: -32*d**2 - 2941*d - 1145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1640085228 to the nearest integer?\nAnswer: 40498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11567 is divided by 330?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 3*n**2 - 2*n - 4. Suppose -50*i - 15 = -45*i. Let q be s(i). Differentiate -22*f**q - 12*f**4 - 23*f**4 + 22*f**2 - 42 wrt f.\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/77, 2\/11, -2?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -12.6 (b) -0.4 (c) 0.3 (d) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 219.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*d**4 - 6*d**3 + 57*d**2 - 149638?\nAnswer: -56*d**3 - 18*d**2 + 114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/7 - 1440*p\/7 - 259200\/7 = 0. Calculate p.\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-45)\/(-20))*4 - 1. What is the second derivative of 42*a**4 - 42*a**f + 65*a**4 - 226*a wrt a?\nAnswer: 780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103347, -103789, -104217, -104625, -105007, -105357, -105669, -105937?\nAnswer: -106155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by -4.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -g + 15, -3*g - 6 = -2*x - 76. Suppose -2*y + y - 2 = 0, w - g = 3*y. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/4 - 3 - -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 993 = 13101. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -24*x**3 + 26*x**2 - 5*x - 5. Let h(y) = 24*y**3 - 27*y**2 + 4*y + 4. Let t(a) = 4*f(a) + 5*h(a). What is the third derivative of t(q) wrt q?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 20. Let u = 8.02 - g. Let w = -0.02025 + u. What is w rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -0.3, -3.\nAnswer: -121, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231 + -223. Let p(g) = -f*g**3 + 28*g**3 + 2 - 8*g**2 + 10*g - 21*g**3. What is p(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671337791 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: Convert 253 (base 13) to base 12.\nAnswer: 29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - 2*q + 2. Let k(x) = -x**2 - 6*x - 4. Let w(r) = -r**2 - 5*r - 3. Let a(l) = 4*k(l) - 5*w(l). Let t(m) = -6*a(m) + 3*j(m). Factor t(i).\nAnswer: 3*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/2 - 100*q - 3840.\nAnswer: 5*(q - 64)*(q + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p - 33. Let q be v(-6). Differentiate -8 + d**q + 39 - 7*d**3 with respect to d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 + 109*d + 4. Give n(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 218*r - 10. Let c(y) = y**2 + 20*y + 76. Let z be c(-15). Let a be h(z). What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7071138145 + 1194.\nAnswer: 7071139339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0*r**5 + 1\/231*r**7 + 0*r**4 - 4*r + 0*r**3 + 0 + 0*r**2 + 0*r**6. Let s(h) = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 24*a**2 + 5. Let b(n) = -n**2 + 1. Let t(f) = 5*b(f) + x(f). Let z be t(-19). What is the tens digit of -1 + z\/8 + 9303\/84?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1*-2)\/(sqrt(1008)*1 + sqrt(1008) + sqrt(1008)))\/(-6*(sqrt(80) - sqrt(80)*-2)*-3).\nAnswer: sqrt(2)\/3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, b: 5, q: 2, w: 10}. Give prob of picking 2 q.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 12, -5*b + 12 = 3*m + 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5 = -d, 2*b + 0*b = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = -2*n, -4*n + 3*n + 8 = -2*o. Let v be (6\/n)\/(1 + (-420)\/402). Which is bigger: -18 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -182\/27 < 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*n**3 - 62*n**3 + 100*n**3)*(-2*n**2 + 2*n**2 - 4*n**2) + n**5 + n**5 - 4*n**5.\nAnswer: 98*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*i + 27 = 3*i, 3*i - 9 = 0. Suppose 0 = -a - 0*a + h. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-6))\/((-6)\/(-32)). Calculate the highest common divisor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**4\/2 + 15*l**3 - 5*l**2 - 20*l + 96. What are the prime factors of f(-22)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2157*s + 15494. Let x be q(-7). Solve -2*u + 24 = 5*w, -w + x*u - 6 = 390*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, -56043.\nAnswer: -56043, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63.5? (a) 5 (b) -2 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from ppzjbpzpppjjpppj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:23 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1 - 4. Let b = 9 - 8. Solve 2*d - b = g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -11111001110011100111111?\nAnswer: -11111001110011101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*t**2 + 11*t**2 + 710*t**2.\nAnswer: 1037*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -7. Let w = k + 10. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - t = 0. Suppose 2*l - 6*l + 8 = t. Find the first derivative of -19 - 12 - 9 + l*b + 26 wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e745 - 1?\nAnswer: -5e746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5940.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 41. Let m = b - 25. Put 4\/7, m, -0.5 in decreasing order.\nAnswer: m, 4\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3515405 + -123?\nAnswer: -3515531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -87.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, and 1 s when three letters picked without replacement from {e: 2, r: 3, g: 3, i: 7, s: 1, z: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1040*c + 537558. Calculate u(-517).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msnaeznaz. What is prob of picking 1 e and 1 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**5\/15 - 11*h**3\/6 + 11*h**2\/2 - 5. Let v(b) be the second derivative of w(b). What is the derivative of v(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 104*y**5\/7 - 2052*y**4\/7 - 6632*y**3\/7 + 25860*y**2 + 423000*y\/7 + 216000\/7 = 0.\nAnswer: -8, -3\/2, -10\/13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 5, j: 9, a: 1}. What is prob of sequence qq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/60 - v**4\/6 - 5*v**3\/6 + v**2 - 12. Let i(y) = y + 4 + 4 - 3. Let f be i(0). What is m(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bbf3 (base 16) in base 10?\nAnswer: -48115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 44432.7\nAnswer: 17773.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(91)\/sqrt(7) + 2)**2.\nAnswer: -16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = w, 4 = w + w. Suppose -2*y + 5*t = -54, -n*y + 2*t + 3*t + 81 = 0. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 141 and -2704579981.\nAnswer: -2704579840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 11985*s - 23950.\nAnswer: -5*(s + 2)*(s + 2395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**4 + 82*v**3 - 226*v**2 - 1361568*v wrt v.\nAnswer: -24*v**2 + 492*v - 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2. Let m(i) = -i - 191. Calculate m(h(n)).\nAnswer: 4*n**2 - 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -591913392955 and 0.\nAnswer: -591913392955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Suppose 0 = -r - 2*h + 33, -34 + 121 = p*r + 2*h. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -295, -265, -211, -127, -7, 155?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 0. Suppose -c*r = -4*r - 20. Suppose 0 = -2*p + r*a + 58, 2*a + 2*a + 162 = 5*p. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 72 = 182 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 548.04889 - 0.04889. Does 12 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 2, 3, 39, 11\/7?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104125 + 0.1?\nAnswer: 104125.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -171, -321, -471, -621?\n\"Answer: -150*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 6340*g**2 - 31616*g - 25280.\nAnswer: -4*(g + 1)*(g + 4)*(g + 1580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/(-5) + 9 + 2863\/70 and -4\/11265?\nAnswer: 22530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1332 by -261.\nAnswer: 148\/29","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -561.2 + 561. Let n = -2.3 + -0.7. Let k = 17 + -117\/7. Which is the nearest to -2\/5? (a) n (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1136*g - 1136*g - 3 + 2*g**2 + 3.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/4 or -1?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6673332 divided by -29269\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1427, 1453, 1491, 1535, 1579?\n\"Answer: -j**3 + 12*j**2 - 3*j + 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-3*b + 0*b + 0*b)*(0 - 1 - 1).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/(-9)) + 12*13\/(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2823486.\nAnswer: 2, 3, 163, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-84)\/36 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885820.\nAnswer: 2, 5, 13, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 9:48 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3 - 549966*l**2 + 1099926*l - 549962 = 0.\nAnswer: 1, 274981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**2*u**2 - 5353*i**2 - i*u**2 - u**2 - 2849*u + 1 wrt i?\nAnswer: -4*i*u**2 - 10706*i - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 8236?\nAnswer: -8230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.04. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.52 + -16.52. Which is bigger: 120 or s?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {l: 2, s: 2, j: 8}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -304 + 303. Calculate the common denominator of 0 - g - 582\/444 and 24\/36 + 10\/(-18).\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -530217*s + 3 - 1 + 1930216*s - 4. Let z be g(-2). What is z rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**3 + 15*j**2 - 26*j + 8. Let m(w) = -5*w**3 + 16*w**2 - 25*w + 7. Let v(k) = -4*a(k) + 3*m(k). Is v(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1389 * -0.742491.\nAnswer: -1031.319999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 5*f + 2. Suppose -3*u + 6*u - 5*n - 4 = 0, -4*u = 2*n - 14. Let v = u - 9. Let z be (1 + v\/(-9))*3. Determine r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 9*z**2 - 6*z**2)*(-3 + 0 + 1)*(-3*z**3 + z**3 - z**3).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32086 is divided by 103?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 10.7.\nAnswer: 5.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50125*s + 827545 wrt s.\nAnswer: 50125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:42 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 3. Let t(y) = -y - 2. Let z(w) = -3*t(w) - 2*u(w). Let f(i) = -2*i**2. Let k(b) = -3*b**2. Let n(r) = -5*f(r) + 3*k(r). Determine n(z(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*v**3*x + 424*v**3 wrt x.\nAnswer: 85*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 5, -8, -27, -52?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*q**4 + 17*q - 1 wrt q?\nAnswer: 420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6886 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130 - 114 - u**2 - u**2 + (-3 - 2*u + 3)*(0*u - 2*u + 5*u) to o + x*u**2 + g*u and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-21)*j**(-16\/3)*((j\/(((j\/(j**(1\/8)\/j)*j)\/j)\/j*j))\/j)\/(j\/(j\/(j**11*j))) assuming j is positive.\nAnswer: j**(-965\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3015 - 9*z**3 + 3015. Calculate g(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16575*x**3 - 10352*x**3 - x**2 + 9793*x**3 + x**2)*(-6*x + 0*x + 0*x) to the form g*x**2 + p + z*x**3 + f*x**4 + y*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -4*h**2 - 11*h - 1. Is a(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61872211?\nAnswer: 3761, 16451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 7*a - 5. Give q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/(2\/(-9)). Suppose -4*u - w*t = -24, 3*t - 41 = -5*u - 14. Let a = -3 + u. Solve a = -o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = 0, -5*k + 0*k - 158 = g. Let b be 3\/4 - 12136\/k. Is 15 a factor of 2\/4 - b\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 3 - 2*k**3 - k - 3*k - 1. Let f be x(3). Find the third derivative of -f*d**5 + 3*d**2 - 24*d**2 + 9*d**5 wrt d.\nAnswer: -480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*c)*(-3 + 5 - 1) + c - 2 + 2 + 1 + (-3 + 1 + 1)*(-2 - c + 2) - 18*c - 19*c + 23*c - 1 + c + 1.\nAnswer: -15*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1135624595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.1113.\nAnswer: 0.04452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(-46)*(m\/m**0)**(-2\/19)*((m**(2\/7))**29)**(-22) assuming m is positive.\nAnswer: m**(-85010\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -20165*((-6)\/57 - 21\/(-19)). Let i = p + 403189\/20. What is the common denominator of i and -73\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + 14 + 0 - 3) + -1 + -4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/667013 and 29\/8004156.\nAnswer: 8004156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259578*x - 13 - 8 + 20.\nAnswer: 259578*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3348162 divided by 186009\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3) - (-5 + 0). Let s(h) = h + 5. Let t be s(-5). Suppose t = -w - x*w + 150. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + (8 - (-198)\/(-12)). Factor 0 - z*c**2 + 3*c - 9\/2*c**3.\nAnswer: -3*c*(c + 1)*(3*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4764416*o**4 - 10*o + 54677?\nAnswer: -57172992*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 66 in increasing order.\nAnswer: 3, 6, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -418.187 - -418. What is p rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-14)\/(-6))\/((-2879)\/(-43185))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 - (-5 + 9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*d = -309*d - 1001 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 83*d**2 + 187*d**2.\nAnswer: 105*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from llc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/(-1476))\/((-6)\/24)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m - 4. Let i(u) = -u. Let t(q) = i(q) - 3*r(q). Calculate t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 3:25 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 219347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -12*f**2 + 182*f - 350. What is i(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18 + -40)\/(2\/(-32)). Suppose 4*h = 2*n - 352, -n - 2*h + s = n. Factor -88*o**3 - 87*o**3 - o + n*o**3.\nAnswer: o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 15 = 2*u + 3*t, 0 = 5*u - 4*t + 26. Let i = 10 + u. Which is the closest to -0.1? (a) -4 (b) i (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -135, -265, -409, -573, -763, -985, -1245, -1549?\n\"Answer: -d**3 - d**2 - 120*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:18 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*y - 8*t = 116*y - 202, -37*y + 2*t = -1556 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1342 divided by -1342.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.432 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 26\/8 + 0 + -4. Sort 8, c, -2\/11 in decreasing order.\nAnswer: 8, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33805 rounded to the nearest 100?\nAnswer: -33800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from jkwkbjwyykkkbyb?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/2, -2\/3, -2\/9, -6, 0, 45, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + a + 1 = 0, 0 = -61*m + 66*m - 4*a + 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391594631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -8\/17 (c) -1\/6 (d) -2\/9 (e) 2\/11 (f) 4829 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.654 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:05 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:34 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1699145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by (0 - 26\/5)*(-215)\/86.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152685.\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-3))\/((-182)\/39). Which is the biggest value? (a) k (b) -0.5 (c) -5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.334973 + -0.3?\nAnswer: 288.034973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(5))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 8 = 18*q - 3*p, 3*q + 3*p = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, -40, -4, -3, 2943 in ascending order.\nAnswer: -40, -4, -3, 1, 3, 4, 2943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, -33, -70, -121?\n\"Answer: -7*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 9344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31 times -35.2117\nAnswer: 1091.5627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32868)\/13695 - 1386\/(-40))\/((-3)\/4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91977033.5 rounded to the nearest one hundred thousand?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*i = 16, -55 = -3*x + 5*i + 13. Calculate the lowest common multiple of 891 and x.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((160\/(-42))\/(-20))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*n = 0, -2*f + n + 6 = -4. Differentiate 53*j**4 - 108 + 20*j**f + 11*j**4 - 29 wrt j.\nAnswer: 336*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465221398 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = -1. What is the highest common divisor of 4 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58.8548 * -92.\nAnswer: 5414.6416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + d**4 - d**3)*(3*d - 2*d + 0*d) + (188 - 188 + 18*d**3)*((-2 + 0 + 0)*(-4*d - d + 3*d) + d + d + d)*(5*d + d - 3*d).\nAnswer: 379*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/9 + 2\/6. Suppose 0 = -3*r - f*n + 89, -3*r + n + n = -59. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3244.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/4 and -11202*5\/(-3980) + -14.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877092.\nAnswer: 2, 3, 73091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 e, and 1 g when three letters picked without replacement from gzvegvv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195650*k*t**2 - t**2 - 4*t - 11020 with respect to k.\nAnswer: 195650*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25861\/103 - 251. Let x = 484\/927 - f. Let k = 1020\/7 + -146. Which is the closest to -0.1? (a) -0.3 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/13)\/z**(-15))\/(z**(-8)*(z\/(z**(4\/13)*z))\/z) assuming z is positive.\nAnswer: z**(315\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 10, g: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 287099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1136 and 52131?\nAnswer: 59220816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8186544 by 4093272.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*d + 4*h, 11*h - 6*h = -15. Suppose 26*u + d*u = 48915. List the prime factors of u.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -513 + -3d486?\nAnswer: -3d999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 + 140*g - 465 = 0.\nAnswer: -31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/3 - 6620*t**2\/3 - 5506624*t\/3 - 1358961856\/3 = 0.\nAnswer: -2198, -556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4785 or -5597?\nAnswer: -5597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 631261000 rounded to the nearest one million?\nAnswer: 631000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k**2 - 4*k - 11. Determine a(-2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, o: 3, m: 2}. Give prob of picking 2 h and 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940127.3 decades to millennia.\nAnswer: 9401.273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*m = -5 - 3, 0 = -3*y + 5*m - 10. Suppose y = 2*b + z - 949, 9*b - z - 955 = 7*b. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqhdqeev. What is prob of picking 1 h and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 8:36 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*v - 22*v + 48 = -5*v, -5*k + 3*v - 24 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7976 = 519*w - 4480 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 1, 19 in ascending order.\nAnswer: 1, 5, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20 - 22 - -3)*-5. Put -31, p, 2, -1, 1\/9 in increasing order.\nAnswer: -31, p, -1, 1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12565768 and -109\/219900940?\nAnswer: 439801880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 + 1. Let f be d(-1). Let y(k) be the first derivative of k**3\/3 - 9*k**2\/2 + 5*k + 66668. Calculate y(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -1130182 + 1130166. Let p(g) = 4*g**2 + 5*g - 2*g**2 - 6 - g**3 + g**2. Let v(s) = s - 1. Calculate i*p(w) - 5*v(w).\nAnswer: -w**3 + 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times 21?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20984 - 20984.17919. What is n rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 times -0.194\nAnswer: -44.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(6) - -3*(sqrt(6)*1 - sqrt(6))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20110237*i**5 - 11588023*i?\nAnswer: 402204740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*t - 3, 4*a - 3*t + 7 - 18 = 0. Let x be (-1)\/2*0\/(-2). Solve -a*z = -x - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 136*j**2 - 5*j - 18. Let q(g) = -67*g**2 + 3*g + 10. Give 3*p(f) + 5*q(f).\nAnswer: 73*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 993775226 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55191 or 61260?\nAnswer: 61260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfzr when four letters picked without replacement from fykyjzkkzrrr.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8880*r + 23. Let p(u) = -5920*u + 16. Give 5*m(d) - 7*p(d).\nAnswer: -2960*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3662 + 3664. Let s = -0.04 + -0.26. Let x = 9 + -13. Put q, s, x in descending order.\nAnswer: q, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 4. Let l be h(-2). Let w(f) = f + 6*f - l*f + 13 - 7*f. Let j be w(5). Solve -d = -j*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.5 + -20. Let g be (1 - (1 - 1))*-1. What is the closest to g in -5, b, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + 26 + 9 + 10*y**2 - 37 - y)*(3 + 5 - 5).\nAnswer: 12*y**3 + 30*y**2 - 3*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/9 + -3 - 46\/6. Let c(f) = 35*f + 63. Let q(t) = -23*t - 42. Let a(m) = s*q(m) - 5*c(m). Is a(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5382 + -3897. Calculate the highest common divisor of 275 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134430410 (base 5) in base 15?\nAnswer: -dceda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 20*v + 12. Determine o(-25).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -123. Solve -l - 3 = -2*p, 0*p = l + 4*p + d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5020 to the nearest one hundred.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.98 + 3. Let i = z - -0.01. Let h = 0.23 - i. What is the third biggest value in 0.1, h, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + y - 2. Let z be p(5). Let n = z - -44. Suppose -5*x + 3 = -57. Calculate the least common multiple of n and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 291777*b + 1. Let g be i(1). Let x = g + 118222. What is x rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -1441.547.\nAnswer: 11532.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 - 35952*b\/5 - 161568288\/5.\nAnswer: -2*(b + 8988)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-1 - (1 + -6))) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2. Let j be (-4)\/16 - 57\/12. Let t(c) = 4*c**2 + 5. Let n(i) = 3*i**2 + 4. Let x(o) = j*n(o) + 4*t(o). Determine x(v(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 3*b + 4*b - 2*b. Let d(k) = -13*k. Calculate d(a(t)).\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-344)\/(-14)*5\/(150\/5)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312704 and 920.\nAnswer: 35960960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -457*o + 459*o - 18, 3*z - 13 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -143*f**2 + 39. Suppose -136*k + 138*k + 10 = 0. Let v(m) = 18*m**2 - 5. What is k*y(a) - 39*v(a)?\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4\/5 + 8*h**3\/5 - 2*h**2 - 8*h\/5 + 9\/5 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16879440 to the nearest integer?\nAnswer: 4108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h + 2*h - 3 - 2 + 3*h. Let q be o(-8). Suppose 0 = r + 2*r - q*n - 81, 3*n = r - 37. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9218 + 9224. Let i(l) = 4*l**3 - 2*l**2 + 2*l - 1. Let k be i(1). Solve 0 = -k*o + 5*o - q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -527417 divided by -8?\nAnswer: 527417\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 + 6*y - 2. Let h be z(-6). Let d(b) = -10 + 19 - 7 + 5*b. Calculate d(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(-1 + sqrt(7) + 3 - sqrt(56)\/(2*sqrt(8)))*2*4)**2.\nAnswer: 512*sqrt(7) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5 - 1. Let i(d) = 10*d**2 + d. Suppose -3*w + 42 = -w. What is the remainder when w is divided by i(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(931) - ((sqrt(931) - 4*sqrt(931)) + sqrt(931)) - sqrt(931)) + 4)**2 + -4.\nAnswer: 28*sqrt(19) + 3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(sqrt(17) + 1) + sqrt(17) + 3*sqrt(272) + sqrt(17) + ((sqrt(425) - (sqrt(425) + -1) - sqrt(17)) + -1*sqrt(272))*-3)**2.\nAnswer: 630*sqrt(17) + 62502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2821 divided by -51.\nAnswer: -2821\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2671745 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549500?\nAnswer: 2, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/13440 and -45\/4256?\nAnswer: 255360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1.18 (b) 16\/207 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 3*l**2 - 4*l**2 + (-2*l - 4 + 4)*(-1738*l - 2 + 7 - 5) in the form z*l**2 + g*l + f and give z.\nAnswer: 3477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9387.\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3 - 2 + 5*s + 2*s - 3. Is 28 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in 1, 4\/5, 0.2, 22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + (-66 - -26) - -23 - -64?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 103192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115770*q**4 + 14332*q**2 - q - 7?\nAnswer: 2778480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/20873 or 1?\nAnswer: 4\/20873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**3\/6 - s**2\/2 - 22*s. Calculate u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-489 - -495) + ((-2)\/3)\/(1\/18). Let a = -7 - -11. Let t(h) = -4 + 4 + 6 - 2 - a*h - h**2. What is t(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416465829?\nAnswer: 3, 13, 3559537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*z = -24, l - 2*z - 3*z = 6. Suppose m + l*m = -147. What are the prime factors of -4 - (-6 + 4) - m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (13 + -29 + (2 - -13) + -4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 c when three letters picked without replacement from ecoohooeceocooeeco.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 6.4 (b) 2 (c) 3320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**7\/168 - p**6\/30 - p**5\/40 + p**4\/12 + p**3\/8 - 38*p. Let l(n) = 0. Calculate n.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1831411.\nAnswer: -732564.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1470*(40\/(-27) - 0). Let y be (-61056)\/(-28) + (-8)\/14. Let f = x - y. Calculate the common denominator of f and 45\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 323*d**3 - 156*d**3 - 172*d**3 - 2*d**2 - 13*d + 2 + (d**2 + 4*d**2 - 3*d**2)*(3*d - 2*d + d).\nAnswer: -d**3 - 2*d**2 - 13*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -140, -427, -984, -1901, -3268, -5175?\nAnswer: -7712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4*19\/6)\/((-2)\/6). Let p = 13 - r. Suppose 5*i + 2*h = p, 6*i - i - 49 = -3*h. Solve 0*g + g + i = 3*j, 3*g + 5*j - 23 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1224 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1999, -6728, -14193, -24394, -37331, -53004?\n\"Answer: -1368*y**2 - 625*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/(-50) - ((-10960)\/(-825))\/8 and -17\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*h**3 - 20*h**3 + 2*h + 9*h**3 - 2*h**2 - 1 to f + m*h + v*h**2 + x*h**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78983 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/24 - -7*1. Let u = -1 - 0. Put v, u, 5 in ascending order.\nAnswer: u, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-5) + ((-91)\/35 - -2). Solve r - 5 = t*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (57 + -33)) + 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/14)\/(n\/n**0))\/((((n\/n**(1\/7))\/n)\/n)\/(n*n**(2\/7)))*(n**(-1\/4)\/n)**(3\/13)\/(n**(-7\/4)*n**(3\/10)\/n) assuming n is positive.\nAnswer: n**(1601\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 9*p**2 - p + 10. Let a be l(9). Let z = a + 0. What is the units digit of -1*z*-1*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b + 4 = u, -4*b + 4 = -u. Let n(i) be the first derivative of u*i + 10\/27*i**3 - 1 + 1\/9*i**2. Determine y so that n(y) = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5716.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2 + 84*g - 720 = 0.\nAnswer: 12, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + 23914?\nAnswer: 23911.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3000)\/(-75))\/(2\/(-4)). Which is the second smallest value? (a) -1 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 + -64. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.26688 days in seconds?\nAnswer: 714258.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1647590625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 7:20 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 9*v + 8. Let n be d(7). Let g be (n + -18)*(2\/(-8) - 0). Calculate the remainder when 57 is divided by g*1*1 + (-510)\/(-17).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16713 = 697*z - 78*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Let d = 6 - 1. Suppose -r*m + 2*m = 4, n = d*m + 26. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3984.1 * -1.436\nAnswer: 5721.1676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -15*c**4\/4 - 6*c**2 - 25*c. What is the derivative of v(z) wrt z?\nAnswer: -90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 + 5 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 - 3*s + 22. Let g(l) = -6*l**2 - 4*l + 22. Let x(t) = 4*g(t) - 5*w(t). Let f be x(-7). Let p = -28 + f. 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 value of (-2)\/(-3)*(-15)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*t - 6, -4 = 4*l - 2*t - t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 28*b**3 - 90*b**2.\nAnswer: -2*b**2*(b - 9)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2 - 792210*m - 792205 = 0. What is m?\nAnswer: -158441, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*u - 2158 + 717 + 725 + 716.\nAnswer: -521*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*p + 8, -4*b - b = 4*p - 1. Suppose 2*a + b = 7. Suppose -j = -a*l + 359, -5*j + 181 = 2*l - 30. What are the prime factors of l?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 39637, -2\/29, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - ((-5 - -2) + 1). Suppose d = 2*c - 6 - 16. Let j = -162 + 163. Calculate the least common multiple of j and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/4 - 1995213*a\/2 + 1326958305123\/4.\nAnswer: 3*(a - 665071)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 6*j + 20. What are the prime factors of b(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 37 + 6*z**2 + 8*z**2 as i*z + g*z**2 + h and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 39 = -87. What is the greatest common divisor of 174 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265057723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:39 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:58 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -139480 times 2.61\nAnswer: -364042.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2419*g**2 + 2421*g**2 - 12*g**3 + 78*g**3.\nAnswer: 66*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/19297693 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -68*r + 11. Let g(n) = 133*n - 21. Determine 6*g(p) + 11*o(p).\nAnswer: 50*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 2:28 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6)*(-2)\/(-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69177567 to the nearest integer?\nAnswer: 8317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maa when three letters picked without replacement from mmmamammmmmmma.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -9. Let q(t) = -13. Let c(w) = 3*h(w) - 2*q(w). Let x(z) = -220*z - 58. Let f(d) = 5*c(d) + x(d). Find the first derivative of f(a) wrt a.\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = 2*z - 108. Let w be (24\/(-6))\/(z\/(-14)). Calculate the highest common factor of 238 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764.15501007 + 1.14?\nAnswer: 1765.29501007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -316 + 354. Calculate the least common multiple of p and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*(-8)\/(-42). Let w = 2\/42479 - -62231727\/169916. Let d = -369 + w. Which is the second biggest value? (a) d (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 7, 11, 17, 25?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*2)**2 + 5 + 3 + (6*(sqrt(77)*2 + sqrt(77)) - sqrt(77))\/sqrt(11).\nAnswer: 36 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*j - 4*p - 914 = 1004 - 1674, -4*j = 3*p + 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(6 + 3 + 5)*(4 - 4 + 2*p**2) in the form z*p + t + s*p**2 and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5793 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r + 25 = 0, -3*r = -5*s + 25. Suppose -2*u - 3 = s*u - 5*j, -2*u = 3*j + 29. Let h = -5 - u. Solve -h*l + 15 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7495 and -0.07.\nAnswer: -0.262465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2167 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2782601, -5565205, -8347809, -11130413?\n\"Answer: -2782604*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 5\/3, -80, 416\/29?\nAnswer: 416\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 357884791729 and -7.\nAnswer: 357884791722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*i = 395, 4*y - 596 = -3*i - 245. Suppose -4*s = -4*u + y, -4*u + s = -4*s - 89. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -788*(-3)\/18 + 376\/24 + -15. Is h smaller than 141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 0.5 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 6, b: 1, q: 1}. Give prob of sequence lbv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Let h = 4 - 4. Suppose 2 = -h*a + 2*a. Solve -s*k + k = a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 414 + 419 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 139.\nAnswer: 138.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 31*f - 30 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 2*v + 1. Let m be r(-1). Suppose -7*i + m*i = 36. What is the units digit of (-3)\/(i\/(-3)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -163, -246, -329?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1065\/2 or -533?\nAnswer: -1065\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*b - 12, 0*b + 12 = 3*m + 4*b. Let n(o) = o**2 - 20*o + 70. Let r be n(15). Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*m**2 + 1172*m + 526368 wrt m.\nAnswer: -116*m + 1172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -19, 4, -3, -1\/8, -5, -7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/8 + (-3)\/(-6). Let t = -12 - x. Suppose 5*l + 24 = l. Is t less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -450, -673, -5 in decreasing order.\nAnswer: -5, -450, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76.849 - -0.151. Let n = l - 76.9999934. Round n to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.192+185038904.253\nAnswer: 185038904.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -997841, -1995676, -2993501, -3991316, -4989121, -5986916, -6984701?\nAnswer: -7982476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1593554 by 3.\nAnswer: -1593554\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 164991409.3 rounded to the nearest 1000?\nAnswer: 164991000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(1\/(0 - -1)). Let s(o) = -o**3 - 4*o**2 + 2*o - 13. Let i be s(-5). Put i, 1, x in decreasing order.\nAnswer: i, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(7332\/585 + (-12)\/(-15)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174002*h**2 - 174006*h**2 + 347999*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -877581.\nAnswer: 28\/877581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/f**(-10))**(3\/7) assuming f is positive.\nAnswer: f**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102*m + 1\/3*m**2 + 0.\nAnswer: m*(m - 306)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 472*f**3\/3 + 104*f**2 + 706. Find the second derivative of u(x) wrt x.\nAnswer: 944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 20*x - 90 = 0. Let j be (-3 + 114\/x)\/(12\/10). What is the smallest value in 0.08, 3, j?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + v - 3. Suppose -2*l - 26 = -5*r + 19, 0 = 5*l + r + 72. Let o be ((-44)\/8*-2)\/1. Let y = l + o. What is q(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4432 + -567303\/128. Let u = -601\/128 + o. Let c = 239\/52 + u. Is c smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (18 + 30 + -50).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 + 202. What is the common denominator of -76\/9 and (-58)\/261 + 4\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 5*r**4\/4 + 35*r**3 - 10*r**2 - 420*r + 302. Solve f(m) = 0.\nAnswer: -21, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11766*z. Let b(m) = -3*m**2 - 19*m. Give n(b(a)).\nAnswer: -35298*a**2 - 223554*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153 - -147.8. Let v = 10.2 + r. Let w be (-6)\/(-9)*3\/(-14). What is the second smallest value in w, -3, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0 + (1 + 0 - 2)*(-1 + 4 - 4))*(-4 - 5*x + 5*x - x**3).\nAnswer: -4*x**3 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a week in seconds?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/((-20)\/666)*1750\/150 is divided by 267?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1021922 rounded to 4 dps?\nAnswer: -0.1022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4217146 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 u when four letters picked without replacement from {u: 1, c: 10, x: 5, d: 2, o: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 2*z - 3. Suppose 40*v = 22*v. Let f be ((-2)\/(-4))\/(3\/24). Suppose -f*q - 5*a - 17 - 3 = v, -2*q + 4*a - 10 = 0. Give s(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235050381*n**4 - 326522301*n**2?\nAnswer: -5641209144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -46*s + 12215. Is 267 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-25\/3)*j)*j)\/j**(5\/3))\/((j*j*j**15*j)\/(j\/(j*j*j**15*j))) assuming j is positive.\nAnswer: j**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/63*3*8\/48?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -584216217*p**2 + 377368957?\nAnswer: -1168432434*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 42\/5 of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8130 - 3986. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.029, -1, 1\/5, 8.25?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2010 and 14874?\nAnswer: 74370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1519968764 and -20.\nAnswer: 1519968744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15109 + 15543. What is the remainder when n is divided by 234?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 4*g**5\/5 + g**3\/3 + 1. What is the third derivative of q(p) wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266802631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.063 - 19.063. Put 6, -0.012, 2, s in descending order.\nAnswer: 6, s, 2, -0.012","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -15*z**2 + 202*z + 12. Calculate the remainder when i(13) is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 1. Let a(o) = -3*o - 2. Calculate -a(v) - c(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115344 and 122553?\nAnswer: 1960848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*u - 2 = 0, -a + 4*u + 15 = -6. Solve -n = -a*j - 25, -4*j + 9*j + 25 = -2*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.00221 meters to centimeters.\nAnswer: 8000.221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77*o**3 + 212 wrt o?\nAnswer: -231*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 296*x**2 + 8 + 309*x**2 + 294*x**2 - 923*x**2 - 22.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/152 - (-3)\/(-12)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1190 - 16243*f - 596 - 594.\nAnswer: -16243*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46, -513, -1784, -4261, -8346, -14441?\n\"Answer: -67*i**3 + 2*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2743\/15 + 183. Suppose -2*w - 4*l = -w + 4, -w + 4*l = -12. Suppose -j = 3*m + 5, -m - 2*j + w*j = -3. Is g != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3 + 4 - 5 + 4*x - x**2. Let o(b) = -b**2 + 5*b - 5. Suppose -142 = 2*i - 136. Give i*j(a) + 2*o(a).\nAnswer: a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4 + 1362*h**3 + 335806*h**2 + 34984398*h + 1261621152 = 0?\nAnswer: -213, -176, -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16144812.\nAnswer: 2, 3, 149489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3934824 and 0.4.\nAnswer: 0.15739296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 6:51 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i. Suppose i = 4*w - 7 - 1. Suppose r = -5*u - 1, -r = -w*u + 4*r + 5. Solve 2 = 2*z - 2*m, u*z = -2*z - 5*m + 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-2))\/(1\/(-2)). Let o = -1 + j. Let f be (-45 - -1)*o\/(-4). What is the highest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*s - 18, -6 = 2*r - 8*s + 4*s. Let g = 8 - 15. List the prime factors of g\/(0 + 2 - r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781939 + 190053 = 86*j - 58*j. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522*g + 510*g = -15492. List the prime factors of g.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 3*p + 109. Let i be y(-8). Solve 19*r - 2 = i*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = v - 2*v + 3227, 0 = 5*v - 5*b - 16255. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 431376374 to the nearest integer?\nAnswer: 20770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 184 = 29*j. Suppose 0*s = 2*s - 2*l - j, -5*l - 12 = -s. Solve m + c = 8, 7*c = 5*m + s*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 784 + 778, j = -5*a - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40173015 (base 8) to base 16.\nAnswer: -80f60d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((1 + (sqrt(2592) - -5*(sqrt(2592) + 0)))**2 + 3)*4 + -4).\nAnswer: 5184*sqrt(2) + 1119780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.815148l in millilitres?\nAnswer: 3815.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/134, 0, 5 in descending order.\nAnswer: 5, 1\/134, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 5, d: 8}. Give prob of sequence od.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1769 (base 13) to base 6\nAnswer: -24015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223 + 102202132033?\nAnswer: 102202132322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -72 and -59 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*t = -49, 15 = -2*t + 13 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3024 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*b = 11*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/65501884 and 39\/14.\nAnswer: 65501884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 3*r - 3*r)*(-4*r + 6*r + 0*r) to the form o*r**2 + m + f*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/513 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2861*t = -2858*t + 3*y - 36, 1 = 12*t + y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634*m - 1165*m - 3*m**2 - 2*m**3 + 322*m.\nAnswer: -2*m**3 - 3*m**2 - 1477*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, 25, -32, -5, -9 in decreasing order.\nAnswer: 25, -1, -5, -9, -10, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (13 + -5 + -25)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 - 148*j**2\/9 + 454*j\/3 + 168.\nAnswer: 2*(j - 63)*(j - 12)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9))**(-7\/5)\/(z**(-2)\/z)**25 assuming z is positive.\nAnswer: z**(3389\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 110, 236, 410, 632?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19291129 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -276, -280, -286?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**5 - 6*n**4 + 154725*n**3 - 25520057*n?\nAnswer: 20*n**3 - 72*n**2 + 928350*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, 1 t, and 1 a when four letters picked without replacement from {t: 8, a: 1, u: 3, z: 6}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173*u**3 - 6*u + 170*u**3 + 14*u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3810 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43736 and 1540.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -624, -2, -2\/7, -0.1 in ascending order.\nAnswer: -624, -2, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 6) in base 9?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-792))\/5*((-36)\/(-6))\/3?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 19*d + 20*d = 9, -4*x + 11 = -d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 + 7063353?\nAnswer: 7063260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/120 + 7*d**5\/60 - d**4\/8 - d**3\/3 + 15*d**2. Is h(-7) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3078 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 10 = -3*d, -5*d = 2*p - 33 + 6. Let g be 5\/(-135)*(12\/(-36))\/(2\/36). Which is the nearest to p? (a) -6 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = l + 27, 3*d + l = -2*l - 21. Put 0, 13, d in descending order.\nAnswer: 13, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224359735 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53327 divided by -94.\nAnswer: -53327\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 3, -5, -464 in descending order.\nAnswer: 3, -5, -55, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8\/(w*w\/w**(-13\/3)))**(-5\/8) assuming w is positive.\nAnswer: w**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78963 and 24.\nAnswer: 631704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30104 and 21.1.\nAnswer: 30125.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**6 - 70250*x**5 - 15251809*x**2?\nAnswer: -360*x**3 - 4215000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 5. What is the remainder when (-9)\/h - 214\/(-4) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 52*c + 219. Calculate the smallest common multiple of d(-17) and 75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001282 rounded to six decimal places?\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c, 286*c + 16651 = 2*h + 287*c. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 182, 177, 172?\n\"Answer: -5*v + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -26*m + 175 - 49 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -188, 1027, 3044, 5857, 9460, 13847, 19012?\n\"Answer: -h**3 + 407*h**2 + h - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/4)*r**(4\/13)*r*r)**34)**(-3\/7))**(2\/9) assuming r is positive.\nAnswer: r**(-1819\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*l**3 + l**4 - 6*l + l**2 - 3*l + 19*l - 9*l - 26 - 12*l**3 in the form u*l**4 + f*l**2 + m*l**3 + p + q*l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 2:06 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 8*k. Let q be b(7). Let y = -2 + q. What is the remainder when 14 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 299890 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001086300644 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 10 = -1. Let q = -4 + 18. Let u be ((-20)\/14)\/((-18)\/q). Which is bigger: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3943\/17 - -232. Let p = 14361 - 14358. What is the second biggest value in x, p, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/5))**35\/(q**14\/(q\/(q\/(q**6\/q)*q))))**7 assuming q is positive.\nAnswer: q**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2)*-5)**2 - (sqrt(18) + 0 + sqrt(2)).\nAnswer: -4*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-15)*(-2)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -514?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12*m**2 - 8349*m - 1444719. Let a(i) = -3*i**2 - 2087*i - 361182. Let x(v) = 21*a(v) - 5*j(v). Factor x(q).\nAnswer: -3*(q + 347)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m**3\/3 + 7*m**2\/2 + 6*m - 3. Let c be g(-4). Suppose c = b + 1. What is the remainder when b is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44369*t - 44344*t - 152 = -3*v + 5*v, 5*t - 23 - 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 741.6 + -719.6. What is the closest to 88 in 0, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 686*v**2 + 230*v + 1. Is 5 a factor of u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5\/(d**1*d)*(d\/(d**(-1)\/d))**(-1\/38) assuming d is positive.\nAnswer: d**(111\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 - 3*v + 3. Let n(r) = 26*r**2 - 16*r + 16. What is 16*g(p) - 3*n(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1038\/7266)\/(2\/12).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20 and 9\/236.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {m: 3, l: 13, r: 2}.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 99900?\nAnswer: 99900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (0 + 1))\/(30\/(-195)). Suppose 4*p + 16 = -2*i, 4*i + b = -5*p - 7. Suppose i = 8*l - 11*l. Solve l = t + t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409331 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.42049 minutes to seconds.\nAnswer: 2425.2294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67366, -67378, -67402, -67444, -67510, -67606, -67738, -67912?\nAnswer: -68134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 103 (b) -2\/5 (c) 53.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 4*a**2 + 6*a**2 - a**2 - 3*a**2 + 5*a**2 + (-2*a**2 - 4*a + 4*a)*(-3 + 1 + 6) + 0 + 0 - 3*a**2 as u*a**2 + w*a + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v - 8. What is the third derivative of -3*j**4 + j**2 + 3*j**5 + 3*j**v + 2*j**2 wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -556236*n**2 + 5*n + 7999 wrt n?\nAnswer: -1112472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-56)\/112)\/(6\/4). Which is the nearest to -2\/3? (a) x (b) 2 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-80)*-32 + 62\/(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (302330\/(-18032))\/617*((-12)\/5 - 2*-1)\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/7)*a**(-15\/2)\/a)\/(a*a**(2\/17))**(-19\/2) assuming a is positive.\nAnswer: a**(354\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 416504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6)**(-2\/5) assuming a is positive.\nAnswer: a**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 8 = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/6)\/((-1)\/3). Solve 9 = 4*q + m, 4*q - q = -v*m + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36, 30, 192, 444, 780?\n\"Answer: -m**3 + 54*m**2 - 89*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -53. Let b = 9 - u. Suppose t + b*t - 87 = 0. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*g - 34 = -13*g + 9*g, -5*g - 4 = -p - 4*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 9:56 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2692950 and 2275?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208523070 by -31095.\nAnswer: 6706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**3 + 4*c**2 + 9. Let u(r) = r**3 - r**2 + 1. Let i(v) = -6*u(v) + z(v). Let b be 276\/(-27) - (3\/18)\/(189\/(-252)). Determine i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1054 - -15?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 1088.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.022 + 0.008. Which is the nearest to 1\/2? (a) 2\/5 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 11 - 37786*r**2 + 22 - 7.\nAnswer: -37786*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m + 6, 2*m = -4*h + 104. Let x = h + -21. Solve 3*o - 12 = -x*u, -3*o - o - 6 = -2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uww when three letters picked without replacement from {w: 5, u: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -423 - 981. Suppose 0 = -11*a + 96 + i. Calculate the smallest common multiple of a and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00061270712 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - 2*u**2)*(-146 - 123 + 5).\nAnswer: 528*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6391 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1308*t**3 + 3488*t**2 - 1744. Let z(r) = r**3 - 2*r**2 + 1. Calculate -i(q) - 1744*z(q).\nAnswer: -436*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 4*y**2 - 9*y - 6. Let n(f) = f**2 + 22*f + 13. What is the remainder when n(6) is divided by g(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2452900 rounded to the nearest ten thousand?\nAnswer: -2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 3. Let v be i(-4). Let t = -6 + v. Solve 3*x + 2*x - 4*a = -7, 4*x = 3*a - t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -16*v - 25. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-99) - (-54880)\/1617.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 4 = 5*v. Is -2*(-58)\/(-4)*v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -3, 1092, -5 in decreasing order.\nAnswer: 1092, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1349 in -0.3, -2, -1, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 2, 1, -177, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*g**4 - 1319*g**3 - 147736*g**2.\nAnswer: 240*g - 7914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 73 - 77. Determine w, given that 0*w - 4\/7*w**3 + 0 + 6\/7*w**t + 0*w**2 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 1.8. Let k = -23.5 - -19. Let s = k - 0.5. What is the second biggest value in s, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 15. Let r be 196\/9 - 2\/z. Let -33*j**2 + 37\/2*j**3 - 4 + r*j - 7\/2*j**4 = 0. What is j?\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 12*f + 1100. Let n be l(-91). Solve -13*t + 105 = n*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h + 20. Let r be (-26)\/h*(-4)\/(-2). Let u = 181 - 192. Is u greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 993, 1997, 3011, 4041, 5093, 6173, 7287, 8441?\n\"Answer: g**3 - g**2 + 1000*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 4*d + 20, 254 = -3*i - d + 257 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 0.4 (c) -2475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:55 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9935, -9933, -9931, -9929, -9927?\nAnswer: -9925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-15)\/(-2))\/3)\/(14\/((-616)\/(-275))). Let l be -2*(-1)\/20*2. Determine r so that 1\/5 - q*r + l*r**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 8*q**2 + 19*q + 10.\nAnswer: -(q - 10)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 31 = -5*t, -904*t = j + 4*j - 880*t + 149 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -207286\/117 and -1771 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -28942584.44 to the nearest 1000.\nAnswer: -28943000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220 - -2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/182240 and 59\/22597760.\nAnswer: 22597760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.363 + -0.763. Let i = -0.2 - -0.3. Let h be 0 + 1*(-1)\/(-7). What is the nearest to i in h, d, 3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:23 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + b - 3. Let h be f(0). Let w be -12*(h\/2 + 1). Let z = w + -6. Solve z = -d + 3*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45951\/102 + (-1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56663736 divided by 233.\nAnswer: -243192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let g = z + 3. Suppose -3*t + g*a = -491, 43 = t + 4*a - 102. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j**4 - 3*j**4 - 4*j**4)*(253 - 93 + 155) to o*j**4 + v*j**3 + w*j + k*j**2 + r and give o.\nAnswer: -3465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/50 and -12\/275?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1360637 - 3079757 = -34*q + 4833802. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 26*h - 5*h**4 - 2 + 2*h**2 - 2*h**3 + 28*h to l*h**3 + c + z*h**2 + m*h + q*h**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8 (b) -7 (c) -4 (d) 0.5 (e) 1\/6 (f) 0.0325 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5352?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffii. Give prob of sequence fff.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -36. Let h = 27 + d. Suppose 0 = 2*x - o + h - 30, -5*o + 70 = 5*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 4*p**2 + 2*p + 3250. Let q(n) = 43*n - 2. Calculate g(q(x)).\nAnswer: 344*x - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 = -3*s - 2*s + 3*i, 3*s - 5*i = 235. Calculate the greatest common factor of s and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130315.\nAnswer: 5, 226063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 9) to base 13\nAnswer: -cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024970715 rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.5 and -0.37?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + 1221415?\nAnswer: 1221400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (1 - -3)\/(-4)*13. Suppose 0 = 2*v + 8, 9*v + l = -a + 4*v. Solve -w - a*h + 14 = -0*w, 2*w + 2*h - 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 195*n + 7231. Give c(-37).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/4)\/x)\/(x*x*x**(-9\/7)*x))\/((x*(x*(x*x**(2\/13))\/x*x*x)\/x)\/(x**13*x)) assuming x is positive.\nAnswer: x**(2687\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61610 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(3*w + 2*w - 6*w) + 3*w - 1 + 1 - 1535*w + 745*w + 3 + 728*w as l*w + m and give l.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 2*i**2 + 3*i - 2. Suppose 250 - 70 = 60*o. Give j(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48698616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(1200)*-3 + sqrt(12)).\nAnswer: -sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/(-6) + (-2)\/3. Let u be (-8)\/14 + 131\/(-7)*m. Let z = 90 - u. Let n(g) = -g**2 - 2*g - 3. What is n(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(-1 - 3 + 5)*(-2 + 1 - 2 + (-1 + 6 - 3)*(-1 + 3 - 4))*(0*b + 5*b - 6*b) in the form l + f*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3\/26 (c) -3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6 - -16) + (1 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 428.43 to the nearest integer.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 + -0.33. Let u = -0.08 + r. Are u and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462 a factor of 81859038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.43 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32826 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 24 = -h. Let j be ((-2)\/h)\/(10\/(-915)). Let p = j + -9. Sort -6, p, -5 in descending order.\nAnswer: p, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ca4 - -7?\nAnswer: -2c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose -p + a*p = 6. Suppose -5*s - 5*w + 15 = -2*w, -9 = -p*s - 3*w. Solve -c = 5*g + 7 + s, 0 = -5*g - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*g - 2*g - 149*g as o + w*g and give w.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -l + 11, 2*l + j - 25 = -2*j. Suppose -l = 3*u - 29. Suppose 0*v = v + 5*g - 19, 31 = 4*v + u*g. Solve 4 = -v*q + 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 - 25*k + 25*k.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 239771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 6*g + 11. What is i(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 26 = -5*a - 20*m, 25*m + 103 = a - 51 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 + 4*n**2 + 3*n + 2. Let z be v(-1). Let j = -0.9 + -0.1. Which is the closest to j? (a) z (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2. Let w(c) be the first derivative of -18*c**2 + 4*c - 34. Give w(l(f)).\nAnswer: 36*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -40, 45, -3, -2\/79?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*k - 203*k + 538*k + 24*k.\nAnswer: 610*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1361172.\nAnswer: -272234.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppgnngggngnnpp. Give prob of picking 1 p and 2 g.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3 + 32991*u**2 + 89618793*u - 5965432395 = 0. What is u?\nAnswer: -5531, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 117 + (-5 - ((-11 - -20) + 30))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - ((-4 - -4) + 1 - 2)) + (1752 - 1705)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103 - (220 + -142) - (65 - -1) - (-5 + 1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -91 times 1923.858\nAnswer: -175071.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 537286, 1074580, 1611874, 2149168, 2686462?\n\"Answer: 537294*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610*h - 614*h - 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7425 and 312268275?\nAnswer: 936804825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**3 + 14*g**2 - 79*g + 114. What is the units digit of o(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130088 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 14) to base 9\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2360\/9 + 30703\/117. Calculate the common denominator of 82\/105 and h.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00156671 to 5 dps.\nAnswer: -0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 33*o**2 - 156*o - 420.\nAnswer: 3*(o - 5)*(o + 2)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 987*c**5\/10 + 515*c**4\/6 + 8347*c**2. Find the second derivative of x(g) wrt g.\nAnswer: 11844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -971792*t**4 + 49528.\nAnswer: -3887168*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9.9 times -0.023159\nAnswer: 0.2292741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {f: 3, l: 3, c: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1088 = 2*u, 1100 = 5*y - y + 5*u. Suppose 0 = -0*s + 2*s - y. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**2 + 5*j**3 - 16*j**2 + 37*j**2.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39164376 and 40311?\nAnswer: 352479384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -3 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -279*j + 61*j + 6322 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 185a?\nAnswer: -1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*v + 2 - 78*v - 78*v + 52*v as h*v + j and give h.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 10*u**2 - 2*u - 16. Let p be c(-10). Suppose 5*j - 4*f - 1068 = 0, p*j - 3*f + 657 = 7*j. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-67 - -86) - 106?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 21*q**2 - 11*q - 1. Let y = 54 + -22. Suppose 0 = 2*p - 4*v + y, -4*v - 2 = 4*p + 26. Is b(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18946 = 35*s - 1984. Calculate the greatest common divisor of s and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/60 + 29*y**3\/30 - 31*y**2\/5 - 248*y. Let k(q) = 0. What is q?\nAnswer: -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:58 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10)*(h*h*h*h**(-3\/4)*h)\/h*h**(2\/13)\/h**(-1\/14))**(-3\/8) assuming h is positive.\nAnswer: h**(8217\/2912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 18. Let m(z) = -2*z**3 - z**2. What is the remainder when 57 is divided by m(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1944 and 4884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 65*q**2 + 123*q - 734. Calculate j(-67).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + 19*c - 52. Determine u(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/38 (b) 2\/141 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6378811\/404 - 11218\/505. Let i be (2432\/(-10))\/(8\/(-520)). Let a = i + k. What is the common denominator of a and -43\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 14) in base 2?\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/15 (b) -0.1 (c) -9 (d) 9 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 6. Let k be l(-6). Suppose q = -3*q + 4*i - 4, 0 = 2*q + 2*i - 10. Let h = q + k. Sort 4, h, -3 in descending order.\nAnswer: 4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -2, -1\/37463, 4\/3?\nAnswer: -1\/37463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -58*q + 538. Is 39 a factor of x(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-4 - (12 - 4 - 13))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8068641941 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 16. Suppose -5*m - 15 = -3*z + 2, -f*z + 4*m = -24. Suppose 2*b - z*b = -50. Solve 0 = -5*n + 4*g + b, 0 = 4*n - 2*g - 15 - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -4*g. Solve -2*o + 4 = -g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k - 4*k**2 + 3*k**2 - 3*k**4 + 355 - 352 in the form y*k + s + x*k**4 + n*k**2 + g*k**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*i**5*q + 101*i**3 - 4*i**2*q + i*q - 6*i + 1111*q - 3 wrt i?\nAnswer: -1000*i**3*q + 606*i - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/4 in -4.8, -2\/11, 29, 0.3?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550260, -550265, -550274, -550287, -550304, -550325?\nAnswer: -550350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 705 = 3*f, -2*f + 13*x - 12*x = -472. Solve -f = -3*c - 224 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497776802?\nAnswer: 2, 248888401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112112221 + 110?\nAnswer: 10112120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y = 354 + 478. Calculate the remainder when 94 is divided by y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-8 - (-1 - 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from grggwgrrrggwg?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184762467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18363 + -41004582\/2233. Let x = d + -279053\/53592. Calculate the common denominator of x and -167\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 66, -4, -47.5, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 471*l + 858. Calculate z(-2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1334 and 44689?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102762353*a - 112470772*a - 178657734*a.\nAnswer: -188366153*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158152890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 69942439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*c)*(-65 - 16*c + 65)*(4 - 4 + 3).\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7687150469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*b - 156 = 0, -3*l + 5*b + 217 + 41 = 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*h = -85*h - 546 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2445*c - 2566*c - 52947 = 1310*c for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2. Let b(v) = 80*v. Determine j(b(l)).\nAnswer: -12800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107238804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-40))\/(2\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 8*h = 296. Suppose -5*c - 94 = -z, -4*c = -6*z + 2*z + h. Calculate the greatest common factor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a millennium in years?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*d**3*k**3*w + 3*d**2*k**2 - 11*d**2*w + 28*d*k*w + k**3 wrt d?\nAnswer: 108*d*k**3*w + 6*k**2 - 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f = -45. Let m(g) = g**2 + 7*g + 6. Suppose 2*w = 23 - 5. What is the remainder when m(f) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13)*1 - (sqrt(117) + 3))**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 + 48*s**4 - 452*s**3 - 7200*s**2 - 16400*s + 24000 = 0 for s.\nAnswer: -10, -5, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -14*z + 114. Let q be r(8). Which is the closest to 1\/4? (a) q (b) -1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*n - 51*n - 37*n)*(2*n - n - 2*n)*(81 - 81 - 35*n**2).\nAnswer: -5985*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(35)\/sqrt(125))**2 + (sqrt(77)\/(-1*sqrt(11)*1))**2.\nAnswer: -8*sqrt(7)\/5 + 582\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24240692.194 and 1.\nAnswer: -24240691.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 w when four letters picked without replacement from bbbbbbbbbbwbbbb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 9 - 3 - 27)*(0*a - 3*a + a) as f + b*a and give b.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 143?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2 + -26 - -9 - -10) - 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14*d - 44. Let q be t(3). Let v(s) = -7*s**3 + 2*s**2 + 2*s. Let h(c) = 14*c**3 - 5*c**2 - 5*c. Determine q*h(b) - 5*v(b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + p - 50. Let a be s(0). Let v be a\/(-3)*24\/(-10). Let l be (-6)\/(-5)*v\/(-16). What is the closest to l in -4, -1\/2, -3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 + 47 + 1945*r - 81 as c + q*r and give q.\nAnswer: 1945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-100)\/(-36) - 4\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 + 17773208649\nAnswer: 17773208646.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwo when three letters picked without replacement from {w: 3, n: 3, u: 3, o: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3))**41)**15 assuming z is positive.\nAnswer: z**205","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-343 - -397) + -6 + 1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + (-8)\/(-6). Suppose 2*q - r - 36 = 0, 2*q - 5*r + 1 = 45. What is the units digit of q - (0 + 1 + l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*p**2 + 40*p**2 - 132*p**2 - 49*p**2 in the form y*p + w + d*p**2 and give d.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1800 and 3270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 3704000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (119266\/(-10953) - (-8 + -3)) + (-1007)\/(-9) + 1?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**3\/2 - 165867*u**2\/2 + 110584*u - 36862.\nAnswer: -(u + 18431)*(3*u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 11*q + 48. Let x be d(5). Is x smaller than -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2 = -3*t, 2*t + 3*y + 32 = -y. Let x(s) = -s. Let u be x(t). Let m = 30 + -26. Solve -m*q = -u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46213 + -30211. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 385\/4509?\nAnswer: 385\/4509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 1, w: 2, b: 1, n: 1, y: 2}. Give prob of sequence ny.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 698 + 1300. Suppose -s - 93 = -9*o. Which is the third smallest value? (a) 2\/5 (b) o (c) 2\/11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 13) to base 11\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12602\/3 + 9766541\/2325. Are c and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -0*s. Let z(x) = 3 - x**s - 3. Let l(w) be the first derivative of 5*w**2\/2 + 3. Give l(z(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -31, -41.\nAnswer: -41, -31, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 233. Calculate j(115).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -108*k - 209. Determine m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:44 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2 + 3 - 5 + 3 + 1 + 2 - 2 + (0 - 2 + 4)*(-2 + 5 - 1) + 4 - 4 - 1 + 2 - 1 - 5)*(2*y + 2*y - 8*y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -47072.\nAnswer: 47070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**8\/252 + g**7\/126 - 47*g**6\/360 + g**5\/45 + 17*g**4\/18 + 8*g**3\/9 + 95*g**2. Suppose q(w) = 0. Calculate w.\nAnswer: -4, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 41\/328 - 2*3\/48. Sort n, 4, -390 in descending order.\nAnswer: 4, n, -390","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4997 + 3940 - 5884 - 2639 + 8*l - 2423.\nAnswer: 8*l - 12003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**6\/10 - x**3\/3 - 11*x**2 - 26*x. What is the derivative of s(w) wrt w?\nAnswer: -12*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11090 or 11091?\nAnswer: 11091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u = j - 483, 5*u - 2*j - 198 = -104 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 5*f. Find the second derivative of 6*a - 2*a + 0*a + f*a**4 wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-128)\/9 - (-12)\/54. Let c be ((-36)\/(-21))\/((-4)\/z). Let b be ((-2)\/(-3))\/(c\/54). Solve 3*q = q + b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 1 + 0 + j**3 + 1 + 4*j**2. Let l be s(-3). Suppose -u - 5 = -l*u. Put -3, u, -2 in ascending order.\nAnswer: -3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*m = 5*m - 1396, 0 = 3*v - 3*m - 1038. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(5\/13)*l\/(l\/l**(-14)) assuming l is positive.\nAnswer: l**(-174\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - -3) + 1 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -15. Suppose i*c = -t + 2*c - 45, 0 = -5*c + 15. List the prime factors of (14\/4)\/((-4)\/t).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 49.65. Let w = h - 16.65. What is the third smallest value in w, -2\/19, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Suppose a*m + m = 12. Solve 0 = m*k - 1 + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*s**4 - s**4 - 15*s**4 + (2 - s**4 - 2)*(1 + 6 - 5) + 335*s**4 - 186*s**4 + 277*s**4 + s - s - s**4.\nAnswer: 398*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*u + 5*k + 2, 0 = -5*u - k + 1. Suppose 16 = 2*h - u. What is the second derivative of 2*x**3 - 5*x - h*x**3 + 2*x**3 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 516706*n + 1. Let q(i) = -4*i. Determine g(q(a)).\nAnswer: -2066824*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-175) + ((-1)\/2)\/(1365\/134940)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*a**4 + 4 - 19*a**5 + 3*a + 8*a**5 - 63*a**4 + 10*a**5 wrt a?\nAnswer: -20*a**3 - 1620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29437 = -887*a + 4607 + 3589 - 16900 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.983 - 33. Let k = -0.0145 + -0.0056. Let p = n - k. What is p rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) -27 (d) -1\/4 (e) -2 (f) -7 (g) 862\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Let f = o - -2. Suppose -2*r + 4*v - 64 = -5*r, -f*v - 72 = -5*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*i = -187*i - 104. Calculate the highest common factor of 1448 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120930 by -58.\nAnswer: -2085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 51 = -4*a, 5*i = 554*a - 553*a - 27. Calculate the remainder when (-10 - -11)\/(1\/89) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 82\/3*y - 2\/3*y**2.\nAnswer: -2*y*(y + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1984 (base 16) to base 4\nAnswer: 1212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45267241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*q - 1188, 0*q + 5*q + 2*k - 1473 = 0. Suppose -4*h + 0*h + 8 = 0. Suppose h*v - 122 = -0*v + 2*a, -5*v + 2*a = -q. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -20 + 1120\/64?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.170057, 51, 1 in increasing order.\nAnswer: 0, 0.170057, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -290*c**4 + 2*c**3 + 765*c**2 wrt c.\nAnswer: -6960*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.226039l?\nAnswer: 4226.039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -0.5, 42, 0.07, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 908.323 millennia in decades?\nAnswer: 90832.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 451 + -10867. Find the common denominator of -93\/8 and 4\/(-14) + 972\/h.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -34 + 52. Is -12\/67 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/6 - 8818579*d**2\/3 + 17637157*d\/6 = 0. Calculate d.\nAnswer: 0, 1, 17637157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 + b**3 + 10*b**3 + (2*b**3 + 0*b**3 + 0*b**3)*(-2 + 0 + 4) - b**3 - 7*b**3 + 0*b**3 in the form g + t*b + y*b**2 + z*b**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-12)\/b*b**(-2\/23)*b*b**(4\/5)*(b**4\/b)\/b)**(-2\/71))**(4\/13) assuming b is positive.\nAnswer: b**(6704\/106145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 544247 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 0, 2190\/19.\nAnswer: -80, 0, 2190\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4564375 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*g - 138 = 0, -5*m + g + 668 = -3*g. Suppose 0 = -k - 21 + m. Calculate the remainder when k is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z + 16. Let v be p(0). Suppose 3*t + 4*o - v = -54, 0 = 5*o + 25. Let j = 7 + t. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/n*n**(-1\/4)\/n*n*n**(-1)*n*n**(-4))**35 assuming n is positive.\nAnswer: n**(-315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -3*t**4\/4 + t**3\/3 - 10. Let i be h(1). Which is greater: -32\/13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4009 - 4003. Let v(p) = p. Let b(u) = u**2 - 7*u + 1. Let t be b(7). Suppose -s + 0 + t = 0. Let c(o) = -8*o - 1. Determine i*v(q) + s*c(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.777 - -897.777. Let g = -1000.9 + c. What is g rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6710696 or -6710708?\nAnswer: -6710708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -236 in -2, -0.5, 2\/3, -0.2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -10*m - 18. Suppose -d + 2*d + 767 = 2*y, -3*y + 4*d + 1143 = m. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 23256 divided by 1\nAnswer: 23256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 6:11 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132104 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5445000 rounded to the nearest ten thousand?\nAnswer: 5450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342454?\nAnswer: 2, 7, 61, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -1294?\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 582 - 584. Let m be 2 + 0 + (-26)\/4. Let r = m - -5. Which is the fourth smallest value? (a) r (b) u (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*t - 5*j, 5*t + 2*j - 4 = t. Suppose -2*h - t*r = -2*r - 13, 2*r = 5*h - 28. Solve 3*f = d + f + h, -4*d = 4*f + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -1 - (-3 - -1). Let w be 4 + -2 + 0\/b. Suppose o + 38 = -k, w*o = -4*k - 20 - 62. Find the common denominator of o and -26\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25365 and 73425.\nAnswer: 1395075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + i + 20. Which is the nearest to 0.1? (a) i (b) 3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z - 284. Let a be g(-41). Let k = 11 + -1. Suppose 0 = -2*s + 44 + k. Calculate the greatest common divisor of s and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1032)\/1290)\/(2\/95))\/(3 - 1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 - 2*b - 1. Let k(m) = 67*m**2 + 5*m + 4. Let v(i) = k(i) + 4*z(i). Let w(j) = 2*j. Calculate w(v(x)).\nAnswer: 102*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3984543\/20615 + -6\/2945. Let l be (6 + 380)*3\/6. Let i = x + l. Which is the closest to 0? (a) i (b) -0.1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1330)\/(-25) + 1\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**6\/6 + p**5\/2 + 25*p**4\/4 - 30*p**3 + 18*p. Solve k(d) = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2)*(-177*z**2 - z**4 + 102*z**2 + 123*z**2) to the form p*z**2 + t*z + q*z**3 + y + m*z**4 and give p.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402609507.\nAnswer: 3, 134203169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 5*v**2 - 3*v**2 + (0*v + 0*v - 2*v**2)*(1 - 4 + 1) - 5*v**2 + 5*v**2 + v**2 - 247*v**2 + 156*v**2 + 170*v**2.\nAnswer: 86*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -868*z - 45. Let b(m) = -867*m - 59. What is -3*b(l) + 4*r(l)?\nAnswer: -871*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449 is divided by 120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10449*m = 10371*m + 2262 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 60*p**2 + 46*p + 36. Let x(q) = -6*q**2 + 5*q + 4. Let j(f) = 2*o(f) - 19*x(f). Let t(u) = -2*u**3 - 5*u**2 - 3*u - 3. Give 4*j(v) - 5*t(v).\nAnswer: 2*v**3 + v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75.65 - -75. Let f = j - -0.95. Which is the third smallest value? (a) f (b) 5 (c) -0.5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 - 2*m + 3. What is d(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2. Suppose -25*z - 51*z = 0. Let l(n) be the third derivative of 0*n**3 + 1\/12*n**5 + 0*n**4 + 0 - 8*n**2 + z*n. What is l(p(i))?\nAnswer: 45*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0*g**5 + 0 + 5\/6*g**4 - 1\/6*g**3 + 0*g - 27*g**2 - 2\/35*g**7 + 0*g**6. Find the second derivative of p(r) wrt r.\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + l**2 + l - 11. Give m(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-28) + ((-4)\/16)\/(1\/2)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 799425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -20*s - 4. Let k(i) be the second derivative of -i**4\/12 - 10*i**3 - 11*i**2\/2 + 15*i. Let p(u) = 4*k(u) - 11*o(u). Determine w so that p(w) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 15 = -3*o - 4*y, 2*o - 10 = -y. Suppose 3*s = -x + 8*s + 9, o*s = -5. What are the prime factors of 2\/x - (-296)\/16?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37c7b4 (base 13) to base 5.\nAnswer: -320412000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 11:41 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 153*b - 1697. Calculate z(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44083 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 + (-5 - -10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 3*j**2 - 3*j - 17. Let t be y(-7). Suppose 0 = 137*i - 111*i - 416. What is the greatest common divisor of t and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 26*k**2 + 28*k + 88. Give t(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10671466 to the nearest one hundred thousand.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -479, -482, -487, -494, -503?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5333565*t**3 - 2532089*t**2 - 3 wrt t?\nAnswer: -32001390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 23 - 42 = -v, -7*r - 80 = -14*r + 5*v for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24592211 to 3 dps.\nAnswer: 0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Let x be c\/3 + 2 + -9. Let p = x + 12. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/5))\/(k\/((k*k**26)\/k)*k) assuming k is positive.\nAnswer: k**(124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2389949, -4779901, -7169857, -9559817, -11949781, -14339749, -16729721?\nAnswer: -19119697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/9 + 2*d**3\/3 - 4*d**2\/9.\nAnswer: -2*d**2*(d - 2)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**2 + 16*r**2 + 18*r**2)*(-3*r + 2*r - 12*r + (5 - 2 + 0)*(4*r - 7*r + 2*r) - r + 2*r - 2*r + (5 - 5 + r)*(-10 + 2 - 2)).\nAnswer: -702*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 5 (c) 0.176 (d) 2\/11 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*u + 96*u = -7613. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 4*w + 43. Calculate o(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + f + 2*f + (0 + 1 + 1)*(-2*f + 2*f + 3*f) - 950 + 612*f + 950 + (-3 + 2 + 2)*(3 - 3 - 2*f) + 0*f + f + 0*f.\nAnswer: 615*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/12 - 1\/(-3). Factor -k**4 - 5*k**s - k**3 + 7*k**3 + 2*k + 0*k - 2*k**3.\nAnswer: -k*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 2*d**4 - 2*d**4 + (5*d**2 + 0 + 0)*(-5*d**3 + 0*d**3 + 3*d**3).\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 0 (b) -5\/2 (c) -0.177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5570000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*r + 13*r**5 + 34*r**3 + 7*r - 34*r**3 wrt r?\nAnswer: 260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*s + 616 = 0, 3*d + d = -s + 1246. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -6*c - 4. Let m(k) = -3*k - k + c*k. Let n(l) = -6*l. What is m(n(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pux when three letters picked without replacement from {x: 1, d: 1, j: 5, u: 4, p: 1, i: 3}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggpgggggpgggggppgp. What is prob of picking 2 g?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 13 + 31 - 5*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(((-135)\/(-36))\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1\/((-3)\/(-1) - 2390\/800)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 - 50. Let p = 707 + x. What are the prime factors of p?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 23*a**2 - 14*a - 12. Let m be j(-11). What is the greatest common factor of 105 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004377 rounded to seven dps?\nAnswer: 0.0000438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + ((-13 - 2) + 2 - (11 + 19 + -48))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u - 9. Let p(r) = -7*r + 5. Let a(w) = 5*n(w) + 7*p(w). Let v = -9 + 15. Give a(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-208150473)\/(-9)*(-3)\/(-20). Let k = x - 3470045. Let u = -873 - k. Calculate the common denominator of -29\/6 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - j = j - 6, -2*i + 4 = j. Suppose i = -r + 1. Is r smaller than -1\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 2945748?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19303331053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1877, -1616, -1355, -1094?\n\"Answer: 261*h - 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34736 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 8) to base 6.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 23*r**2 - 17*r - 17. Let u(l) = -4*l**2 + 3*l + 3. Let p(x) = 6*a(x) + 34*u(x). Let o(z) be the first derivative of 87*z**2 + 642. What is p(o(t))?\nAnswer: 60552*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/42*-3)\/(-15))\/((-351056)\/307174).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 0.4, 0.1, 2\/165, 14, 0, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.70522cm to micrometers.\nAnswer: 7052.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2448))*-4 - (sqrt(2448)*-3 + -5))**2.\nAnswer: -24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/17 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 22038*k - 9892*k + 7 + 1 - k - 2 + 2 - 1 + 1 + k + (0*k - 3*k + 2*k)*(5 - 2 - 4).\nAnswer: -31929*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -1134\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjjjjudddjdjdddjdd. What is prob of picking 4 d?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -71.442 and -7.9?\nAnswer: 63.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**2 - 4. Let n(f) = -f**3 - 9*f**2 + 5. Suppose 45*d + d = 184. What is d*o(i) + 3*n(i)?\nAnswer: -3*i**3 + 5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25695 and 15.\nAnswer: 25695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 58. Suppose -3*z + 5*n - 1620 = 0, n = b*z + 579 + 501. What is z rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*o - 164 = 4*a, -4*a = -o + 133. Let c = 56 + a. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 2, p: 1, e: 1, s: 2}. What is prob of sequence txe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(6 + -8 + 0 + 0). Does 18 divide a\/((-2)\/(-5)) + 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-60))\/(21\/(-140))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**2\/4 - 5*k\/4 - 105\/2 = 0. Calculate k.\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 7875*y + 7875. Give k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.96689 centuries in months?\nAnswer: 27560.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -26*a + 21. Let s(y) = -2*y + 1. Give -6*s(r) + w(r).\nAnswer: -14*r + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -482 - -414 - 1344\/(-20).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:11 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167 + 171. Is 78\/q*(-10 + 22) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.492 + 4.492. Which is the third smallest value? (a) -0.2 (b) -10 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 13*z**2 - 79*z + 8. Give b(7).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/(-5) - 4 - -3. Suppose 150 = 14*s - u*s. Solve 0*x - s = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271781 is divided by 67944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f**3 + 10731*f**2 - 1309242*f - 327981 = 0. Calculate f.\nAnswer: -1003, -1\/4, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100781 or -9?\nAnswer: -100781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, 2304, -42, 2 in increasing order.\nAnswer: -42, -15, -4, 2, 2304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4. Let v(g) = -3 - 1 + 3 - 4. Let n(k) = 6*a(k) - 5*v(k). Let r(w) = -2*w + 4. Suppose 6*p = 2*p - 4. Determine p*r(i) + 4*n(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(2\/5)\/o))**(-2\/29))**(-21) assuming o is positive.\nAnswer: o**(336\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1638, 4022, 7886, 13968, 23006, 35738, 52902, 75236?\n\"Answer: 123*g**3 + 2*g**2 + 1517*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 660 divide 319590449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1\/y*y)\/(y**(-5)\/y))\/(y\/(y*y\/(y\/y**17*y*y))*y\/(y*y**10*y)))**36 assuming y is positive.\nAnswer: y**1188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + -4.1. Let j = 3002\/9 + -334. Which is the nearest to -3? (a) h (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 308, 737, 1190, 1661, 2144, 2633, 3122, 3605?\n\"Answer: -n**3 + 18*n**2 + 382*n - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-3 + 0 - -2). Let t be ((-14)\/7)\/(f\/6). Let k(u) = u - 2*u**2 - u**3 - 5*u**2 - 8*u. Calculate k(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s**4 + s)*(5 - 3 + 0 + (0 + 1 + 1)*(6 - 4 - 4) - 1 - 2 + 4 - 6 + 0 + 4 - 1 + 1 - 4 + (-4 + 3 + 3)*(-4 + 0 + 1) - 2 + 1 - 2).\nAnswer: -48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*a + 4*y + 1960 = 100*a, 3*a + 4*y - 1952 = 0. What is the greatest common divisor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*m + 87 - 43 - 42)*(-3 + 6 + 0)*(2 - 3 + 2) in the form d*m + z and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 666915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -31) + (1 + -1 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 6*t**2 + 85 - 85 + 21*t.\nAnswer: -2*t**2 + 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -3.5. Let l = 2004\/11 - 182. Sort 2, t, l in descending order.\nAnswer: 2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.11 + -916.89. What is the biggest value in -0.4, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h. Let x(o) = -218*o. Give x(t(d)).\nAnswer: 872*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442820?\nAnswer: 2, 5, 7, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19034955 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, 0.7, 3, -1.4873, 2\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*n - 8, -5*i = 2*n + 6 - 16. Put i, 4, 0.2 in ascending order.\nAnswer: 0.2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2, q - b + 2*b = -46. Let w be 2\/3 - q\/36. Suppose 5*k + 5*y = 5, -2*k - 5*y - w - 11 = 0. What is the lowest common multiple of 8 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from zhhzss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/99)\/(((-7)\/(-1))\/(-14)))\/(-36)?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*l + 120*l = -1415. Calculate the highest common factor of 13867 and l.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(520)*-1*-6 + sqrt(520))\/((sqrt(10)*-1 - sqrt(10))*4))**2 - ((sqrt(3328) + 1)*-1 + 1)**2) + 2.\nAnswer: -52579\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = -9 + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 1, c: 2, q: 2, k: 2, i: 3}. What is prob of picking 2 k and 1 j?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85287.\nAnswer: 3, 28429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 - 218 = 0. Let g = -53 - c. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 44*o + 40. Give a(43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:57 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*h = 110*h + 3780. What is the highest common factor of 24 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804 is divided by 197.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552102896.\nAnswer: 2, 2837, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3 = 4*u, -3*u + 5*n - 16 = -12 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 226*t**2 + 2441*t + 186. Determine w(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-3)\/50)\/(192\/20)). Solve -157*n + s*n - 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -1, -7, -4, -21\/29?\nAnswer: -21\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5 + 119*z**4 + 2835*z**3 - 359*z**2 - 8752*z - 5676 = 0. What is z?\nAnswer: -86, -33, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(110) - (-1*sqrt(110)*-4 - sqrt(110)))\/(sqrt(40)\/(sqrt(16)\/sqrt(4))*2).\nAnswer: -9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 30357864?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-180)\/(-32))\/9)\/(-15*(-1)\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 37*x - 461. What are the prime factors of i(26)?\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-10)\/(-5) + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2 + 8*n - 5. Let q be y(5). Suppose 0*b = -b + q. What is the common denominator of -12 and 4\/6*((-1276)\/b - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-35396)\/(-14)) + (-6)\/4. Let g = 2529 + b. Which is greater: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 13, n: 5, t: 2}. Give prob of picking 3 k.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 140347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoa when three letters picked without replacement from {a: 8, z: 2, o: 9}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9064 and -2329.\nAnswer: -11393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b. Let c(p) be the first derivative of 3*p**2\/2 - 4*p - 44. Let j(z) = -13*z + 18. Let q(r) = -9*c(r) - 2*j(r). Determine q(u(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/3 (b) 2\/655 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*z - 24, 0 = c - 4*z - z. What is the least common multiple of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-20) - 9\/(-4). Let k(o) = o**2 - 5*o - 5. Let j be k(6). Let t = c + j. Calculate the least common multiple of t and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 7, 26, 12, -1, 5 in increasing order.\nAnswer: -17, -1, 5, 7, 12, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 558 + -556. What is the second derivative of -502*n**2 + 1002*n**2 - u*n - 501*n**2 + 30*n**4 - 9 wrt n?\nAnswer: 360*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1336563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 9:29 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t + t**4 + (-3*t + 4*t - 3*t)*(3*t**3 - t**3 + 0*t**3) + 0*t**4 + 0*t**4 - t**4 + 24*t**4 - 3*t - 115*t**4 + 59*t**4.\nAnswer: -36*t**4 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 46*v**5\/5 + 20*v**4 - 122*v**3\/5 - 208*v**2\/5 + 152*v\/5 + 32\/5 = 0.\nAnswer: -2, -4\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 502*z**5\/5 + 15*z**2\/2 + 18*z + 147. Find the second derivative of u(q) wrt q.\nAnswer: 6024*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -2*w**3\/3 - 19*w**2 - 36*w - 3148. Calculate h(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818514471?\nAnswer: 3, 19, 73, 229, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*30\/(-10)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9207, -18410, -27599, -36768, -45911, -55022?\n\"Answer: v**3 + v**2 - 9213*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, k: 2, g: 2}. What is prob of sequence kk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -178d68 (base 16) in base 10?\nAnswer: -1543528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*r + 55 + 14, -49 = -3*r - 2*h. Suppose -r*m + 145 = -603. Calculate the greatest common divisor of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57700 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -129158, -128513, -127868, -127223?\n\"Answer: 645*p - 129803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*i**3*q**2 - 176197*i**3*q + i**3 - 254*i**2*q**2 - i**2*q - 2934*i**2 wrt i?\nAnswer: -132*q**2 - 1057182*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 11 + 7*o)*(3 - 2 + 2 + (-1 + 3 - 3)*(7 - 2 - 3) - 2 + 1 + 0 + (-1 - 3 + 7)*(0 + 2 - 1)) as s*o + f and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01487720469905 from -0.4.\nAnswer: -0.41487720469905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*k - 33 = 17, -24379*k + 24381*k - 33 = -11*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-20)\/6)\/((-6)\/233622) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 2*u + 1. Let x be w(1). Let s(n) = -7*n**3 + 3*n + 2. What is the least common multiple of 3 + (104\/4)\/x and s(-1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239129 is divided by 282?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n - 100 = -124*g + 119*g - 23*n, 0 = -4*g - n + 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -315 times -2438\nAnswer: 767970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -37539925 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1867 - 14*p + 1867)*(-p**2 + 2*p**2 - 2*p**2) + (-3*p + 4*p + p)*(0 + p**2 + 0) as h*p + s*p**3 + i*p**2 + q and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j**2\/15 - 2661844*j\/15 + 760544 = 0 for j.\nAnswer: -190136, 30\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1870.3776 * -16.\nAnswer: -29926.0416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:24 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.28, -3, -0.69, 0.04.\nAnswer: -3, -0.69, -0.28, -0.01, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -174291200 to the nearest 1000000.\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 - (-217 + 420 - 263)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkqqqqtkkiqqkbsk. Give prob of sequence kkks.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/49 - 207\/245. Let j = -461.1 - -482. Let k = j - 21. Which is the smallest value? (a) k (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**17*((w**(1\/13)\/w)\/w)\/w)**(-27\/2) assuming w is positive.\nAnswer: w**(-4941\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1764 and -5\/11424?\nAnswer: 239904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -124\/19*h + 42\/19 - 6\/19*h**2 = 0.\nAnswer: -21, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 7*g**2 + 7*g - 4. Let s be t(6). Let q(m) = m. Let j be q(s). Solve j*v + 6 = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*a**4 + 0)*(-116*a + 19 - 148*a + 331*a).\nAnswer: 134*a**5 + 38*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307 - 812. Let p = x + 505. Find u, given that 6\/13*u - 2\/13*u**2 + p = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (7 + -4 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -y - 11, o = -3*o - 2*y - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*d + 361*d = 148*d + 138*d - 2728 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16479.\nAnswer: 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + z - 3997*z**2 + 3997*z**2 + 3*z**3.\nAnswer: 3*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1235215, -1235213, -1235213, -1235215, -1235219, -1235225, -1235233?\n\"Answer: -c**2 + 5*c - 1235219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 44. Let u(d) = 107*d - 7. Let r(h) = -1830*h + 120. Let g(s) = -7*r(s) - 120*u(s). Calculate g(x(q)).\nAnswer: -30*q - 1320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 7\/4*m**2 - 1\/8*m**4 + 0 + 3*m - 1\/8*m**3 = 0.\nAnswer: -3, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 262725.6 nanometers?\nAnswer: 262.7256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8118 and 7667.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(504) + sqrt(504) - sqrt(504))\/(((sqrt(48)\/sqrt(3))\/sqrt(2) - sqrt(8)) + sqrt(8)) + 2.\nAnswer: 2 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1)*28\/(-539)*-11?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/4 - (-26392)\/936. Let o = z - 342\/13. Is 2 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -168*m**3 + 2*m**2 + m. Let c be a(-1). Suppose -3*v - v - 4*j + 140 = 0, -j - c = -5*v. Let z = v + -14. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-2*v + 3*v - 3*v) - 3*v + 2*v - 3*v - 4783*v + 2369*v - 7472*v - 1993*v - 5254*v.\nAnswer: -17139*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - p - 9*p)*(-2*p + p**2 + 2*p) + 0 + p**3 + 0 + (0*p**2 + p**2 + p**2)*(2*p - 1 + 1) - 2*p**3 - 2*p**3 + 3*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1173 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 934950 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5 (c) -22 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q + 662 = -266*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -461\/4 less than -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*t = 3*c + 1, 2*c - 4 = -t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-21)\/(c*c\/(c\/(c\/(c\/(c*c**11)))*c)) assuming c is positive.\nAnswer: c**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -9. Solve 4*s = b - 0*b + 6, -5*s = -5*b - r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40528687 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/8 + (-105)\/84.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(280)\/((sqrt(10) - -2*sqrt(10))*-3).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-2 - 3)\/(-35)). Let o(u) be the first derivative of -2*u**3 + v*u**3 - u**3 - 5*u**2 - 3. What is the second derivative of o(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 304 or 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40542, -81258, -122148, -163218, -204474, -245922, -287568?\nAnswer: -329418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -0*c + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21209*m - 21209*m - 616*m**3.\nAnswer: -616*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**5))\/g*g**(-4))**(1\/3) assuming g is positive.\nAnswer: g**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/13)*x)\/x)**(-27) assuming x is positive.\nAnswer: x**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46 + 0 - -9)\/(2\/(-4)). Calculate the highest common divisor of t and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215 - -364. Let b = -499 + w. Round b to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z + 60 = 28*z. What is the greatest common factor of 105 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:18 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r - 5. Let y = 55 + -10. Suppose 0*j - 5*j = -y. Calculate the remainder when u(-2) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37030 = 5*y + o, 0 = -2*o + 3*o - 5. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34470 = 2*x - 2*y, 0 = -2*x + 33*y - 36*y + 34450. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/((-516)\/(-602))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.1 and 0.2691?\nAnswer: 2.3691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 8:32 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5154.\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 151443768, 151443766, 151443762, 151443756?\n\"Answer: -u**2 + u + 151443768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -3, -2, -64063, -7, -5.\nAnswer: -64063, -7, -5, -4, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**3\/3 - 3*f**2\/2 - 18*f. Let x(d) = -4*d + 54. Let b be x(13). What is t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 493, 984, 1475?\n\"Answer: 491*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*r = -19, 3 - 11 = 2*l + 2*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 10 + 5. Suppose -k + 44 = 5*f, -5*k - 30*f + 25*f = -160. What is the remainder when k is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4)\/(84\/63)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4109 - -4105. Let r(k) = -17*k - 6. Give r(d).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - n = 0, -4*q + 5*n = 18 - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z + 2. Let y be (0 + z)\/(-6 - (-145)\/25). Suppose 4*x = -b + 7, -y*b - 21 = -4*x + 16. Solve 0 = 5*f - 5*o - 35, 2*f - x*f = -5*o - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - -8. Let z = o - -8. Let m = 134 - z. What is the greatest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -32*u - 31 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*12\/18*(-6)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3*y**3 - q**3*y**2 + 3301*q**3*y + 3*q*y**2 - 8547*y**5 wrt y?\nAnswer: -12*q**3 - 512820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6.020848, -1\/4, -8, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 + -1 + 2\/2. Let i = q + -16. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1fdaf?\nAnswer: 1fdb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 153828\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 599*o + 5483. Give q(190).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**2\/3 + 7559428*m\/3 - 17638698 = 0?\nAnswer: -3779721, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 11480790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 12. Let p = -65 + 43. Let c = g - p. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 88*i**4\/5 - 6964*i**3\/5 - 6092*i**2\/5 + 192*i = 0. Calculate i.\nAnswer: -1, 0, 3\/22, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Suppose c = m + 2. Is 1\/5 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*w - 0*w - 156, 0 = -w - 2*q + 30. What is the remainder when w is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 22*c**2 + 7*c + 6. What is the units digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 140*g = 3*b + 144*g - 4 + 59, -g + 61 = 5*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3640 is divided by 1107?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222221120222 (base 3) to base 12.\nAnswer: 4325bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*c + 2 = 2*c, -1 = -l + 4*c. Let r be ((-10)\/(-125))\/(l + 1). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 49\/35 - 6\/(-10). Find the second derivative of -j + 3*j - j - g*j**5 + 2*j wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87028 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u**3 - 103*u**2 + 12*u + 52. Let q be m(11). Is 1033 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-3)\/((-3)\/3). Let u(x) = -2*x. What is the units digit of u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3))**(-1\/34)*(t\/(((t\/t**(-1\/20))\/t)\/t)*t)\/(t**(3\/2)*t*t))**(-22) assuming t is positive.\nAnswer: t**(6061\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d**(3\/8)\/d*d))\/d*d)*d*d\/(d**(-6)*d))**(-7\/5)\/((d**1\/d)**(-2\/23)\/(d*d\/d**(1\/3)*d\/((d*d**(1\/10))\/d*d))) assuming d is positive.\nAnswer: d**(-1051\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -12. Suppose 4*a - 2*n = 10, 4*a - r*a - 6 = 4*n. List the prime factors of (-255)\/(-10)*a\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 7*v**2 - 9*v + 6. Let d be t(8). Let n(k) = -10*k**2 + 2*k - 1. Let r(w) = w**2. Let y = 23 - 41. Let u(l) = d*n(l) + y*r(l). Factor u(i).\nAnswer: 2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/13)*j**(-20)*j assuming j is positive.\nAnswer: j**(-244\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*b + 15, 5*b - g = -3*g + 21. Let u(t) = t + 2. Let z(h) = -h. Let s be z(-6). Let d(m) = -m - 2. What is b*u(y) + s*d(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.5, -2\/19, 10, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 7:37 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b - 2*b - b - b**2. Suppose 0 = h + 31 - 25. Let v(k) = -8*k - 44. Let u be v(h). Let o(m) = -2*m**2 + 3*m. What is u*o(w) - 6*z(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/41 and -3\/5?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) -14862\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 - 118*q**2 + 14740*q\/3 - 32096.\nAnswer: 2*(q - 118)*(q - 51)*(q - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i - 474*i + 569*i - 1174*i - 2000*i.\nAnswer: -3064*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 1.8. Let t = -2.160974 - -0.160985. Let y = t + v. Round y to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibui when four letters picked without replacement from {b: 2, u: 13, i: 5}.\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*w + 542 = 2860 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 24*u = -40. Suppose -3*g + 925 = u*q, q - 185 = -2*g - g. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((330\/(-28))\/33)\/(8\/((-416)\/5)).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + 21\/9. Let d = 59 + -25. Suppose -4*t + d = -m*t. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - -2) + 4 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbneweqqqvbvebw. Give prob of picking 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.529 + -0.071. Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z + 4*p = -40282, 3*z = -3*p + 60432. Let q be -7*z + 25\/25. Round q to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffu when three letters picked without replacement from ugfufff?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 + 2*f**2 - f. Let j = -76 - -79. Let r be (-1)\/(j\/((-18)\/(-2))). Let h(t) = 0*t**3 + t**3 + 3*t**2 - t + 4*t**3. Calculate r*n(y) + 2*h(y).\nAnswer: -2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 z when three letters picked without replacement from zzmbzeg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 22 = 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20588 + 20590. What is the smallest value in -15, -4\/11, s, 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2252 + 2267 + 11*u**2 - u + 0*u**3 - u**3. Let n be c(11). Solve 4*v + 12 = -n*g, g = -0*v + 2*v + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*l**4)*(-1 + 1 + 1) - 44*l**4 - 15*l**4 - 164*l**4 to the form b*l**3 + r*l**4 + m*l**2 + a*l + u and give r.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*i**3 + 105*i**2 + 33*i + 3.\nAnswer: 3*(i + 1)*(5*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31382.406 seconds to hours.\nAnswer: 8.717335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 12*p**3 + 6*p**2 - 6*p. Let s be g(1). Solve -5*k - 2 = -s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127, -12, 905, 3206, 7473, 14288, 24233, 37890?\n\"Answer: 97*f**3 - 181*f**2 - 21*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*s + 71721 = 377*s - 135*s for s.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 2035 - 327 = -98*c for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -245.062 - -244. Let w = 416.538 + -416.6. Let x = w - i. Which is greater: x or 1\/80?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 - 7 = -5*u, 14 = 4*y + 3*u. Suppose -o - f + 24 = 0, -4*f + 1 = y. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 6. Let b be m(4). Let t = b + 5. Determine x, given that -13*x**2 - 10*x**3 + 4 + 8*x + x**t + 10*x**2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(2*(-3)\/(-3560)). Let w = t - 1109. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/3 + 178*g\/3 - 60 = 0. What is g?\nAnswer: -90, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 2*r. Let v be n(-2). Let f be ((-2)\/(-6))\/((-3)\/(-9)). Suppose 4*h - 5*o + 30 = 0, 3*h - 2*o = 2*o - 23. Put f, v, h in ascending order.\nAnswer: h, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 2*s**2 - 7*s - 2. Let t(o) = 8*o**3 + 7*o**2 + 20*o + 6. What is 2*t(d) + 7*z(d)?\nAnswer: 2*d**3 - 9*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -34*v + 6. Let f be x(5). Calculate the common denominator of (-1)\/3 - f\/12 and (2\/(-22))\/((-2)\/(-12)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 825 + -295. Let q = p - 487. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(10)\/sqrt(2)*-6 + sqrt(5)) + (-4 + sqrt(5) + sqrt(5)*2 - (sqrt(720) - sqrt(720)*-2)))**2 - (-2*(2*sqrt(3630))\/(sqrt(378)\/sqrt(7)))**2.\nAnswer: 304*sqrt(5) + 55444\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2800 = -3*h + 3*t + 1292, 0 = 3*h + 5*t - 4076. What are the prime factors of h?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-144)\/(-120))\/(-3))\/(108\/30)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, and 1 p when three letters picked without replacement from {o: 2, x: 1, p: 6, c: 5, a: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40642.3 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2, 11, 1\/217, 4, -3\/5, 1.\nAnswer: -2, -3\/5, 1\/217, 2\/7, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1.6 (b) 2\/3 (c) -10 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 89 = 4*u, -4*v + 132 = 3*u + 49 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51656956?\nAnswer: 2, 13, 947, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3368766593322 + 3368766593322 + 4*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1617169.\nAnswer: 73, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330374452335 less than 0.3?\nAnswer: -1330374452334.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/30 - -19\/30. What is the nearest to h in -11, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627 at least as big as 2616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14 + (-1624)\/(-147) + -13?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - 12*j - 19. Let s(a) = -3*a**2 - 9*a - 16. What is -4*c(w) + 5*s(w)?\nAnswer: -3*w**2 + 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -0.5, -1, -0.06?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 681*u - 1548. Let x be a(12). Round x to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -338 + 509. Suppose m - 186 = 5*q. Put 0, 5, q, 16 in descending order.\nAnswer: 16, 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/2139 and -19\/372.\nAnswer: 8556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 4. Let x = 3 + -6. Let y(g) be the second derivative of -2*g**3\/3 - 5*g**2\/2 + g. Calculate x*n(o) - 2*y(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a = 0. Suppose 11400000 = -a*q - 3*q. What is q rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-24))\/(2\/(-16)). Suppose q*a - 9 = 3*a. Does 11 divide 15*1 + 10 + a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81016241 - -6?\nAnswer: 81016247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - y - 1. Let j(q) be the first derivative of 15*q**4\/2 - 15*q**2\/2 - 15*q - 551. Determine j(x) - 15*l(x).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 282215 + 282215.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4733*i - 4791*i + 9432*i.\nAnswer: -92*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -5. Solve b - g = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*g + 3170, 3188 = -50*g + 52*g - 2*f. Is g >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -20 + -3 + 4. Let w(s) = s**3 + 20*s**2 + 29. Let i be w(n). Solve 9 = 5*y + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 73 + 21 - 2*h)*(-h + h + 2*h) to the form a + p*h + m*h**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 78?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-710*g - 133*g + 64*g) + g + 2*g + g.\nAnswer: -1554*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 77*y**3 + 13*y**2 - 43*y + 6. Let x(r) = 232*r**3 + 37*r**2 - 130*r + 17. Let b(c) = 17*t(c) - 6*x(c). What is the second derivative of b(w) wrt w?\nAnswer: -498*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2 + 388*f - 64. Let d be o(54). Calculate the highest common divisor of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2855 - -1.7145. Sort f, -3, 0.09 in decreasing order.\nAnswer: f, 0.09, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*b**2 + 3*b**3 + 14*b**2)*(48 - 104*b - 48).\nAnswer: -312*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -23*m**2 + 90*m + 25. Let x(v) = -23*v**2 + 80*v + 22. Let p(f) = 8*l(f) - 9*x(f). Let d(r) = 4*r**2. Give d(p(h)).\nAnswer: 2116*h**4 + 368*h**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 - 2*i**2 - 3. Let p(x) = -13*x**3 + 9*x**2 + 13. What is 9*l(n) + 2*p(n)?\nAnswer: n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 16*q = -4, 2*f + q + 9 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 22 = -0. Let l be -11 - (1 + m)\/1 - -3. Sort l, 0, -2, -3.\nAnswer: l, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3032 = 2*i, -2*i + 4*l = 3*i - 7580. Suppose -2*r + 5822 = i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**2 - h**2 + 3 - h**3 + 3*h + 6 + 7*h**2. Let f be d(15). Suppose -2*q = -5*q + f. What is the remainder when 67 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 24 = 4*g, g = 2*g - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06857 - -0.14076. What is u rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53085549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26330 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 3 = 73*m - 79*m. Let p(h) be the second derivative of 1\/5*h**5 + 0 + 8\/15*h**m + 0*h**2 - 2\/75*h**6 - 8\/15*h**4 - 13*h. Factor p(i).\nAnswer: -4*i*(i - 2)**2*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148.26 - 149. Which is bigger: t or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 5, -3, 3, -22, -5, -2 in descending order.\nAnswer: 5, 3, -2, -3, -5, -22, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k + 4*k**2 + 2*k**3 + 8*k + 6*k**2. Let a(o) = -o**3 - 5*o**2 - 3*o. Let d(y) = -5*a(y) - 3*t(y). Find the third derivative of d(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + (-5 - 4) + (-2 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r - 5*r)*(5 + 6 + 8)*(-1 + 3 + 0).\nAnswer: -114*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 1 + 5. Let b(v) = v**2 + v + 1. Let y(a) = -3*a + 2 - 3*a**2 - 1 - 3. Let x be 102\/27 + 2\/9. What is d*y(l) + x*b(l)?\nAnswer: -2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*f = -75, a = -2*f + 14 + 25. Suppose 5*w = 3*w + 5*c + 6, 12 = 4*w - c. What is the remainder when a is divided by ((-34)\/(-6))\/(w\/9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 438? (a) -2\/5 (b) 1 (c) -2\/9 (d) -0.5 (e) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 78551.8ug?\nAnswer: 0.0785518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + -1)*-1 - -42 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1846 is divided by 155?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.1441 plus 26847?\nAnswer: 27014.1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19996 bigger than -139966\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5050\/8888 + 3\/(-4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 0. Let b = 8.14 - 8. Sort i, b, -1 in descending order.\nAnswer: b, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(140)\/sqrt(7) + sqrt(5) + (2 + sqrt(5))*-2 - (sqrt(125) + -3*(sqrt(125) + 1)))**2.\nAnswer: -24*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 3*h**2 - 3*h**2 + (2 - 2 - h + (3 - 3 - h)*(1 + 2 - 2) + h + 0*h - 2*h - 6*h - 3*h + 5*h + 1 - 2*h - 1 - 2*h - 2*h + h)*(-2*h + 0*h + 4*h).\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7703\/9 or -855?\nAnswer: -7703\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*q - 8246, 5*q - 9*q + u = -16478. Round q to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6996 and 72292.\nAnswer: 216876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 490*t**3 - 44*t + 52. Let f(y) = 70*y**3 - 6*y + 7. Calculate -22*f(i) + 3*l(i).\nAnswer: -70*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -27 + 3 + (4 - (-8 - -5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (60\/(-70))\/((27\/14)\/(-9)). Solve 2*o + 18 = -0*o - 5*x, 4 = -i*o - 2*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) 2\/3 (c) 4199 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:45 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 8*r + 6. Suppose 5*j = -2*n + 7 - 19, 0 = -4*j - 2*n - 8. Let f be 10*(-1 + 2) + 2 + j. Calculate the least common multiple of 34 and k(f).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.883 - -3.183. Sort -1, -1\/2, -0.2, w in ascending order.\nAnswer: -1, -1\/2, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (1\/(-4))\/(9\/(-1044))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1) - 2) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(0 + sqrt(1573)) - -4*(0 + (sqrt(1573) - sqrt(1573)*2)) - (4 + (sqrt(1573) - 1*sqrt(1573)*-2) + -1)*-3)**2.\nAnswer: 1188*sqrt(13) + 127449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431708336 is divided by 1187.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 122 + -120 - (1 + -4 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 426794851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/20 - t**4\/12 + t**3\/2 - 2*t**2 + 2*t. Let s be d(-3). Is 5 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 121641822.\nAnswer: 1216418220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, 121, 4, -4\/43, 0.03?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 25*h**3\/6 + 227*h**2 - 328*h. Let p be d(-18). Solve p*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/4 + 803*g**3\/4 - 45297*g**2\/2 + 914193*g - 12539394.\nAnswer: -(g - 677)*(g - 42)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/24 + 3*v**2\/2 - 10*v. Let s(l) be the first derivative of c(l). Determine s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27260 - -27259.9. Put 6, 3\/4, -36, r in descending order.\nAnswer: 6, 3\/4, r, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13895 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 466 - 221. Let d = q + -160. What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231246 (base 7) in base 10?\nAnswer: -41292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)\/(f\/(((f*f*f**(1\/14)\/f)\/f)\/f)))\/(f**3\/(f*f**(-7)*f)) assuming f is positive.\nAnswer: f**(-307\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2837282 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: What is the third smallest value in 0.3, -7\/4, -2, -1\/4, -0.8, 7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 - 10*u**2 - 4*u + 3. Let r be g(-5). What is the first derivative of -393*x**2 + x**3 + r*x**2 + 4*x**3 - 146 wrt x?\nAnswer: 15*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u - 2. Let s be d(-2). Suppose 4*y + s = n - 2*n, y + 5*n = -14. Let r be y\/(-6) - (-10)\/(-6). Which is bigger: -2\/13 or r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86418484937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 - 3 - (-155 + 149))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52553920259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccoccoccjccccccc.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(16)\/sqrt(2)) + sqrt(35) + (sqrt(245) + sqrt(245)*3)\/sqrt(7))\/(5*sqrt(252)*-2*-6).\nAnswer: sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -232ab4 (base 12) to base 14\nAnswer: -109c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 2, a: 1, v: 2}. What is prob of picking 2 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - 4*(sqrt(605) + 1 + sqrt(605) - sqrt(605))) + sqrt(605) + -5*sqrt(605)*1 + -2)**2.\nAnswer: 924*sqrt(5) + 29681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -170946, -341887, -512828, -683769, -854710?\n\"Answer: -170941*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199832977.\nAnswer: 17, 11754881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 1:59 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -406, -403, -400, -397?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -643?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 - 160.999375. Round n to 5 dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85.9064847 - -0.1009153. Let o = 9 - -77. Let z = o - s. What is z rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 18 = -o + 4*o + g, -248*g + 226*g = 0 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466126353 divided by -11291.\nAnswer: 41283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3\/157 (c) 4.629\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201 - 187. Suppose 0 = -5*c, b = 4*x - 5*c - 146. Calculate the remainder when 109 is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3933 - -5775. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 62, 3, -66.\nAnswer: -66, 2, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-7) - (-837)\/(-434). Does 5\/391 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 90265842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -25*p**3 + 8*p + 56. Let s(u) = -9*u**3 + 3*u + 19. Let f(x) = -4*a(x) + 11*s(x). What is f(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 83*a**2 + 186*a.\nAnswer: a*(83*a + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263 is divided by 417?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9202495 litres in millilitres?\nAnswer: 920.2495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddih. Give prob of picking 2 d and 1 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -555, -2205, -4911, -8637, -13347?\nAnswer: -19005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 105. Suppose -i = -5*t + 30. Suppose -3*a = t - 73. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 77*x**2 - 9*x - 2. Let n(t) = -9925 + 3308 + 3305 + 3312 + t. What is n(p(f))?\nAnswer: 77*f**2 - 9*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:00 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18799709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 6*p + 9. Let i be b(-7). Let m(a) = -4 + 4 + a - a**i + 5*a. Let w(s) = s**2. Calculate w(m(l)).\nAnswer: l**4 - 12*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -6144368423809.\nAnswer: -6144368423809.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537554?\nAnswer: 2, 3, 109, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(32*s + 7 - 14*s - 19*s)*(-16 - 1 + 0) to the form o*s + q and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 3*r**3 - r**3)*(1596*r - 748*r - 848*r - 8513*r**2) + 0 + 0 - 2*r**5.\nAnswer: 17024*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h + 5*z - 238, -113 = -h - z. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1760 = 5*m, -6*m + 5*m + 3538 = 2*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, 1\/8, 19.2 in increasing order.\nAnswer: -1, -0.5, 1\/8, 19.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m - 3*m)*(-23 - 1 - 7).\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:27 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2105 = 5*y, 5*y + 5*b + 413 = 4*y. Which is greater: y or -411?\nAnswer: -411","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 7. Let l(x) = -x - 8. Determine -5*l(i) + 4*n(i).\nAnswer: i + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-2)*7\/42*84\/3234?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w + 210 = 0. Suppose -11*s = -46 - w. Let q be 2472\/28 + 2\/(-7). Calculate the highest common factor of s and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1430441 (base 7) to base 2\nAnswer: 101110111100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 50317466 and 50317466 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 3*y**2\/2 + 9. Let r(f) be the first derivative of -5*f**2 - f - 11251. Give j(r(g)).\nAnswer: -30*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227 divided by -6?\nAnswer: -409\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*z - 17*z - 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16809 (base 16) to base 10.\nAnswer: -92169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4607*f**2 + 9210*f**2 - 4600*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 9) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*y**3 + 2*i**3*y + 31*i**2*y**2 - 160*i*y**3 - 4*i*y**2 wrt y.\nAnswer: 6*i**3 - 960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3739118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 629*i**2 - 236542 + 236542 as a*i + c*i**2 + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1962 and 2240822.\nAnswer: 20167398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-5)*(-310)\/217. Suppose 2*x + x = 54. Suppose 13 + x = 3*l + 5*i, 3*l + 4*i - 29 = 0. Which is bigger: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (33 + -10 - 15) - (1 - -30)) + 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/5048 and 77\/25240.\nAnswer: 25240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5328001, 10656010, 15984019, 21312028?\nAnswer: 26640037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/6)\/((35\/(-15))\/7). Let z be ((-3)\/(6\/v))\/(6\/27). Calculate the highest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 smaller than -2104\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082\/(-1*2 - (-345)\/138).\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 38*j + 228. Let x be h(-9). Is 1*39279*(-38)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 + 3*g**2 + 2*g. Determine b(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11110 (base 2) to base 12\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -3*o, -2*i + 2*o = -0*o - 16. Solve i + 11 = 6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 846*p**5 - 12*p**2 + 646*p + 12*p**2 + 226*p**5 wrt p.\nAnswer: 21440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6312820 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*a + 100, 3*x - 3*a - 266 = -a. Round x to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 4335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*a - 14*a + 48 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41245 divided by 5.\nAnswer: -8249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 0.31 (c) 11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*l**4 - 3040*l**3 - 239740.\nAnswer: 100*l**3 - 9120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26014*0.09.\nAnswer: -2341.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*s - 2*s - 3*s)*(0 + 2 + 0) + 4*s - 2*s - 4*s + s - 4*s + 2*s - 2*s + 5*s - 2*s + 4*s - 11*s - 6*s)*(351 - 351 - 53*s**2).\nAnswer: 1007*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.19 and 43428.12603074.\nAnswer: 43428.31603074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6*h - 2)*(-20 + 5 + 71 + 56) to the form o*h + b and give o.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r**2 + 718*r + 171. Calculate y(80).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 443939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10207932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -21*c**4 + 16449*c**3 - 358821*c**2 + 2034879*c - 552486 = 0.\nAnswer: 2\/7, 11, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6122.2 + -100268.657.\nAnswer: -94146.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 196\/42 + 2 + (-5)\/3. Suppose 0 = b*j - 15. Find the first derivative of -j + 22*p - 5 - 8 wrt p.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -4.2.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 270640 <= 270638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -267 - 63. Let u be y\/12*1*2. What is the units digit of 0 + (u - (2 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 o, and 1 a when three letters picked without replacement from oaaatitaitaaaaaitata.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82842?\nAnswer: 2, 3, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*f**3*i**2*t - 15*f**3*i + 484*f**2*i**2*t - f**2*i*t + 7*f**2*t - 58*f*t - 2*i**2*t + i*t wrt i.\nAnswer: -42*f**3*t + 968*f**2*t - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/(-30) - 322\/(-220) and -43\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(99) - -2*sqrt(99))*-2)\/((sqrt(99) + (4*(-1*sqrt(99) - sqrt(99)) - sqrt(99)))\/sqrt(11)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 + (7 - 13))*(32\/10)\/8. What is f in 600 + 40*f + 2\/3*f**o = 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574563434.\nAnswer: 2, 3, 262427239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -5 (c) -13 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26731 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -3 + -2)*1 + -5 + -4*((sqrt(637) - (2 + sqrt(637))**2) + sqrt(637)).\nAnswer: 60*sqrt(13) + 2554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 4. Let v(w) = -7*w + 7. Let a(g) = 90*g - 90. Let k(l) = -2*a(l) - 27*v(l). Let j = 7 + -5. Determine j*k(z) + 5*m(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 163aa3 (base 15) in base 3?\nAnswer: 2000122112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 494\/6 + 6\/(-18). Suppose -m = 5*g + 98. What is the common denominator of 8\/g + 1682\/(-288) and 117\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7740)\/8)\/((-5)\/(-300)). Round y to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2883 is divided by 2875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 124 = 25*y - 23*y, y - 70 = 2*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198a7 (base 11) to base 6.\nAnswer: -332133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28380 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + -1 + (-16 - -14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0206 less than 263?\nAnswer: 262.9794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10577 + -10576. Let k = -0.2 + 0.2. Which is the fourth smallest value? (a) -5\/12 (b) l (c) -3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence repv when four letters picked without replacement from edpvr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 461.38468 to the nearest integer.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/5 (b) 18 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-16))\/((-5)\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -142505230 (base 7) to base 9\nAnswer: -18576117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) + sqrt(85)\/sqrt(5))*3 + 3 + (sqrt(68))**2 - (sqrt(17) + 5 + sqrt(17) + 0 + sqrt(170)\/sqrt(40)).\nAnswer: 9*sqrt(17)\/2 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125601 (base 7) to base 14.\nAnswer: 8871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 0*x - 20 = -5*x, -4*n - x = -21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 2, 0 in increasing order.\nAnswer: 0, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*z + 4. Let y(p) = 59*p + 11. Let b(v) = -16*v - 3. Let h(i) = 22*b(i) + 6*y(i). Give h(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 9:15 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202*v**6 - v**5 - 129*v**3 - 10*v**2 - 3751.\nAnswer: 24240*v**3 - 60*v**2 - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -23*t + 4. Let g be (1 + (-3)\/((-6)\/(-16)))*t. Which is the biggest value? (a) 2\/5 (b) 0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/29? (a) 0.1 (b) -1 (c) 0 (d) -1\/2 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28 - 12)\/(4\/(2 + 0)). Is 5 a factor of (4 - z\/6)*(-9)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 468*i - 37. Determine h(-1).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147228323 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 5:29 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 24, 14*s = 15*s + 2*q + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -535987 and -863.\nAnswer: -536850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -1940027.\nAnswer: 97001.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**4\/4 - 5*u**3\/3 - 3*u**2\/2 + u + 6. What is the units digit of m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*i = -18, -3*i - 4 = -1. Let b(f) = -f**2 - 7*f + 4. Calculate the remainder when n\/(-14) + 225\/21 is divided by b(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + (5 - 4))\/((-6)\/16). What is the tens digit of (-1872)\/(-27) - a\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - g = -2*y + 79, 685*y + 4*g + 0*g + 41 = 694*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 10:41 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/225*(-215)\/9460?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/34599103 and -23\/462.\nAnswer: 207594618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1429027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161.7 * -0.1.\nAnswer: -16.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.227 - 0.127. Let s = x + -7. Let k = -0.4 + 0.2. What is the third smallest value in -0.5, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*u - 5290, -2*o - 4*u + 106 = 2246. Let m = o - -1531. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g + 7. Let m be f(-7). Let l(y) = y + 3. Let u be l(-5). Let x be (3\/3)\/(u\/(-14)). What is the highest common factor of x and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 3 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2. Let l(f) = f**2 - 2*f. Let o(w) be the first derivative of 5*w**3\/3 - 11*w**2\/2 - 14. Let x(y) = 33*l(y) - 6*o(y). Determine x(i(h)).\nAnswer: 27*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 z, 1 r, and 1 k when four letters picked without replacement from {z: 2, r: 2, f: 4, m: 1, k: 7, s: 4}?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -724 (base 9) in base 13?\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 3 = -8*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 95. Let p = -92 - x. Which is the nearest to -1? (a) -7 (b) -2\/19 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = 2. Suppose 0 = 4*d + r*l + 3*l - 169, 0 = d - 4*l - 58. Suppose 0 = -2*x + 10, 79 + d = 3*u - 5*x. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 10 + 281*v**2 - 1 - 10 - 399*v**2.\nAnswer: -118*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 218.089499 + -188.08949284. Let w = 30 - c. What is w rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - 111. Find the third derivative of -q*d**3 + 4*d**3 + 3*d**3 + 2*d**4 - 3*d**4 - 129*d**2 wrt d.\nAnswer: -24*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 344618, 344616, 344614, 344612?\n\"Answer: -2*j + 344620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 570407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.6. Suppose 5*n - 4*f + 0*f + 15 = 0, 14 = 4*n + 2*f. Let h = 2 + n. What is the second smallest value in h, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(((-620)\/744)\/(19\/6)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8392*a**2. Let h(c) = c**2. Calculate v(h(x)).\nAnswer: -8392*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366484 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201011102 + 201?\nAnswer: 2201012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 91149736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/6, 20, -0.09, -0.3, 0.063?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129056 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5243 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-1404)*(-1656)\/690\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(7)*3 - sqrt(7))) - (-1*sqrt(5082))\/sqrt(6))**2.\nAnswer: 72*sqrt(7) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 707 - 672. Find the second derivative of -u*p**5 + 166*p + 16*p**5 + 138*p**5 wrt p.\nAnswer: 2380*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 634530 divided by -21151\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - g + 15 = 0, -103*p - 4*g + 24 = -105*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (-3 + sqrt(300) + 0 - sqrt(300) - sqrt(300)) - 2*-3*sqrt(300)) + -2 + -4.\nAnswer: -3 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 3*q + 1. Let t(l) = -2 - 12 - 3 - 5*l**2 + 7*l + 15. Determine 7*j(f) + 3*t(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 75 (b) -2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 668239.\nAnswer: -4\/668239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 20 = -x, y - 3*x - 29 = -34 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - 51\/6) + (-21)\/14. Solve j = 10*c - 16, 3*c - 2 = -f*j + 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -39*l - 5058. Calculate d(-129).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 4*n - 8, -50*y = -51*y + n + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -888199 * -0.2.\nAnswer: 177639.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4100 - 20420?\nAnswer: -11320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 1 = -11. Suppose -5*m = -w*m + 60. Find the common denominator of -20\/11 and 153\/m - (-6)\/15.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d - d + 5 - 7 + 7. Let x(l) = l - 3*l + l - 6*l - 6. Let v(a) = 5*x(a) + 6*z(a). Let w(n) = -7*n**2. Calculate w(v(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**3 - 8*x**2 - 297*x - 325. What is d(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3892 = -2*n - l, 3*n = -n - l + 7784. List the prime factors of n.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -62*c**6\/3 - 101*c**2 + 507*c. What is the first derivative of t(a) wrt a?\nAnswer: -2480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (109\/(-2) + 25883\/(-4706)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 26*j + 6 + 0*j.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 14 = 5*t, -3*t = 5*q - 1 - 0. Suppose 3*f = -3*v + 10107, 2*f + v = -t*v + 6742. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22350330 and 243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7 = -3*p, 5*t - p - 35 = 4*p. Suppose -5*z = -0*c - c - 14, c = -z + 4. Let b**2 - b**2 + 3*b**3 + z*b**t = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*l - 63. Let r = l - -25. Suppose -u = -p + u + 19, -r*p - u = -40. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -4. Let w = 588 + -605. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 450 = -4*n, -2*n - 2*n = 16. Let k = -160 - u. Calculate the smallest common multiple of k and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 11*b - 17. Let l be (-1)\/(-2) + 50\/4. What are the prime factors of c(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**9\/72 - 3*z**7\/70 - z**5\/20 - 23*z**4\/24 - 2*z**2 - 46*z. Find the third derivative of r(f) wrt f.\nAnswer: -840*f**3 - 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665914.5um in meters?\nAnswer: 0.6659145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbv when four letters picked without replacement from bbbbvbbbbbbbvbbbbb.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.83 + -7.06. Let r = -2.77 + t. Which is the third smallest value? (a) 5 (b) -2 (c) r (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958\/16 + 1 + 84\/672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1 + 1506*f - 11*f**2 - 1497*f + f**3 + 14. Give v(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 51\/57 + 0 + 0.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 15*y + 14. Let c be (2 - 1)\/(5*(-3)\/(-135)). Let j be n(c). Let s = 308 - j. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 3*i + 49, 0 = 3*r + 29756*i - 29761*i - 105 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5994.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 7*w**2 - w - 7. Let u be p(-7). Let x = 7 - u. Suppose 0 = -h + 7 + x. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*g + 140, 5*u - 47 = 4*u - 3*g. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7818818 = -7818818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -51.1. Let t = 2 + i. Let a = -0.26 - -0.06. Sort t, -2, a.\nAnswer: -2, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28338 and 95622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-210))\/((-26)\/(-14)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298744151.\nAnswer: 298744151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b - 24. Let t be v(-8). Suppose 5*d = t, -4*d + 7 = 4*k - 1. Suppose 4*c = -k*o + 2798, 2*o - 2229 - 569 = c. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 + -0.4. Suppose 31*q = -q + 128. Which is the nearest to q? (a) 4 (b) l (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose 6*n - a*n - 76 = 0. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 0)*(2 - 2\/5). Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51818, 103634, 155450, 207266?\nAnswer: 259082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 + 2 = 0. Calculate the lowest common multiple of 1 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23066 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**21\/v))\/v*v**26*v assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**2 + 2*m**2 + 15*m**2 - 2*m**2 - 250 + m as g*m + y + r*m**2 and give y.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1998 rounded to three decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, -440\/5161 in increasing order.\nAnswer: -440\/5161, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7161 and 3838947.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4064880 to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 58 = 2*y, -2*y - 5*b + 130 = 3*y. Let k = 28 - y. Suppose -1 = q - k*l + 5, 3*l = q + 2. Solve -5*i + q = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 8. Suppose 116*z = 118*z - 8. Let a(h) = -5*h**3 + 5*h**2 - 5*h + 5. Let j(i) = 5*i**3 - 4*i**2 + 4*i - 4. What is y*j(p) + z*a(p)?\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i = 81 + 37242. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7756 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*d**2 + 34041*d - 7566 = 0. What is d?\nAnswer: -1261, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = 15. Let r be (3\/x)\/(-1*(-3)\/(-3)). Find p, given that 6*p**2 - r - 4 - p**2 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x**3 - 11*x**2 - 11*x. Let o(i) = -i**3 - 36*i**2 + 35*i - 85. Let z be o(-37). Let c(g) = 8*g**3 - 6*g**2 - 6*g. Determine z*c(a) + 6*f(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211025.\nAnswer: 5, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -2. Let o be 214\/(-14) + k\/(-14). What are the prime factors of (-15)\/(-2)*(-18)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 5. Let z(m) = -m**3 + 3*m**2 - m - 3. Let o be z(-3). Suppose c - o = -55. Let b(p) = -p + 1. Let g(y) = c*i(y) - 3*b(y). What is g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2953*y + 90617 = 451*y - 69511 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*d + 288*d + 140 = 0. What is the second biggest value in -0.2, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f + 9*f - f**2 - f**3 - 30*f**3 - f**2 - 18*f. What is b(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 + 6*i + 2. Let u(t) = -9*t**2 + 11*t + 3. Suppose 771*k - 1422 = 297*k. Give k*u(q) - 5*y(q).\nAnswer: -2*q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 5*t. Let j be r(4). Let m = -0.05 - -1.05. Which is the smallest value? (a) m (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 5308\/11, 31?\nAnswer: 5308\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12308714, -12308686, -12308668, -12308666, -12308686, -12308734?\nAnswer: -12308816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -110*b + 152*b. Factor -b + 1\/2*a + 15\/2*a**2 + 7\/2*a**4 + 19\/2*a**3.\nAnswer: (a + 1)**3*(7*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 60\/28)*14. Calculate the highest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*g = -24*g - 593*g + 36414 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3*x)**9)**(-1\/91)*((x\/x**(-13))\/x**(-7))**(-41) assuming x is positive.\nAnswer: x**(-78387\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -325885\/32 - -10185. Calculate the common denominator of -99\/208 and r.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 15. Suppose -5*b = k - 0. Let w be (-6 - -8)\/(b\/(-5)). What is the greatest common divisor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y. Let g(c) be the first derivative of -5*c**2\/2 + 40. Determine s(g(n)).\nAnswer: -45*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*19\/(-190))\/(1*(-20)\/1240)?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1332024 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - 12*r + 3213*r**2.\nAnswer: 3213*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*y - 43. Calculate the greatest common factor of 40 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 18. Let z(n) = -n**2 + 4. Let p be z(0). Calculate the highest common factor of p and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(891))**2 - (-4 + sqrt(176)).\nAnswer: -4*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*m - 3*q, -m + 0*q + 20 = 3*q. Let n be 1\/(-1*(-1)\/m). Solve -3*p + 13 - 3 = n*o, 5*o - 3*p - 40 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8399 - 8393. Solve 2*i = -7*d + s*d + 2, 8 = 4*d + 2*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**4\/6 + 2*k**3\/3 + 35*k. Find t such that v(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1392.1726 + -1392. What is b rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -2. Let b = 23 - h. Let r(w) = -9*w**2 + 2*w**b - 9*w**2. Let j(y) = -2*y**2. Give r(j(o)).\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -208a2a63?\nAnswer: -208a2a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**10\/30240 - t**9\/15120 + t**8\/6720 + t**7\/2520 + t**4\/4 - 2*t. Let s(c) be the third derivative of r(c). Factor s(o).\nAnswer: -o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -58) + (182 - 226)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -29 and -17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 - 0.1. Let y = -2.1 - t. Put 1, 0.2, y in decreasing order.\nAnswer: 1, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-54)\/27 - (1 - 11). Sort -3\/2, z, 2\/5, -2\/9 in increasing order.\nAnswer: -3\/2, -2\/9, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n + 2. Let l be p(2). Let s = 312 + -163. Suppose -3*g - s = -l*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -666 and 4.5.\nAnswer: -661.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 - 7*t**2 - 7*t - 7. Let z = -23 + 20. Let p(f) = -f**3 - 3*f**2 - 3*f - 3. What is z*v(x) + 7*p(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s - 17. Let v be m(-11). Let q = v - 81. Suppose -q*x + 10*x + 50 = 0. Solve 2*b + w - 5 = -2*w, w - x = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1430971 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 1444?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juu when three letters picked without replacement from jjjjjuju?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 7:57 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7215 by -1443.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3107405 and 5264?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502138982.7 rounded to the nearest ten thousand?\nAnswer: 502140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 214 - 166 = -3*m, 5*m = -4*y - 41 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 7*l - 2*l. Let h be ((-10)\/(-30))\/(l\/(-3)). Suppose -h - 5 = -2*m. Solve b = -m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 6, h: 4}. Give prob of picking 2 t.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12521 + 125321\/10. Let u be (19588\/(-576) - -2)*2. Let s = 572\/9 + u. What is the common denominator of s and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d8dc (base 14) to base 16.\nAnswer: -1be5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38216 and 13631872.\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/7, 112, 6\/13, -0.2?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-6))\/(6\/(-11652)). Let a = 38889\/8 - s. Calculate the common denominator of a and 25\/118.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4395*b**5*k**2 - 7*b**5*k + 39*b**2 + 211*k**2 wrt b?\nAnswer: 263700*b**2*k**2 - 420*b**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/14 + (-56)\/(-196)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -3 + (45 - 58)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 249, 251, 253, 255?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 31168.\nAnswer: 280512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 45. Let z = -28 - s. Suppose 6*o = 2*o + z. Solve -6*h + o*h = -6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(8\/(-10)) + 1. Let w(v) = 2*v**2 + v. Let c be w(-1). Let l = c - 0. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3287 and 1261343.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 277403.5 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14 + (-70)\/588*6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w - 10. Let l be o(3). Suppose l*i = 59 - 19. Let s(z) = -10*z**3 + 3*z + 5. Let m(a) = -11*a**3 + 4*a + 6. What is i*m(k) - 6*s(k)?\nAnswer: 5*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 103, 143, 177, 205, 227, 243?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 4) + 3 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.89 + -0.11. Let t = 1.69 - 1.79. Let r = 1.9 - 1.4. What is the nearest to t in b, r, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-47)\/(-1175) + 153\/(-75). Sort m, 1, 3, -255 in decreasing order.\nAnswer: 3, 1, m, -255","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2392*i + 5811*i + 6586*i - 160080 = 0 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 8, 418*h - 415*h - 14 = d for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 593.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1627 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**2 - 13*f**2 - 15*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 18*s + 26. Let k be g(-19). Let a(y) = 6*y**2 + 23*y + 9. What is the hundreds digit of a(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(847))*4)**2 - sqrt(847).\nAnswer: -363*sqrt(7) + 13568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149446299.\nAnswer: 3, 49815433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -31 + 20 + 29?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.77820115 rounded to one dp?\nAnswer: -27.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -362, -1560, -3558, -6356, -9954, -14352?\n\"Answer: -400*v**2 + 2*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1134229 and -0.1519?\nAnswer: 1134228.8481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130431 + -211882.\nAnswer: -342313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 7985418?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2705141 (base 8) to base 9.\nAnswer: -1372426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 572?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p**(-1\/5))**(-38)\/(p**(-7)*p*p**(-1)*((p**(-5)*p*p)\/p)\/(p\/(p\/((p**(-1\/3)*p*p)\/p)*p)*p)) assuming p is positive.\nAnswer: p**(-4841\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391985 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -791 + 859. Suppose 63*k + 15 = h*k. Suppose 3*g + 16 = 5*l, 4*l - 4 = -l - 3*g. Solve 2*r + k*r = -5*j, -l*j + 4*r - 30 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/2784 and 59\/4248732?\nAnswer: 33989856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -63 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 - -4.89. Let v be 1\/(-3)*3\/5. Let u(i) = -i**2 + 5*i + 2. Let r be u(5). Which is the nearest to 0.3? (a) w (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h - 5. Let b be k(5). Let w be 4\/1 + 125\/b. Let o be (2\/16)\/(3 - 2). What is the nearest to 0.1 in w, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + s. Suppose -2*x + s*x = -2*w + 16, 4 = -3*w - 4*x. Calculate the lowest common multiple of w and (-4)\/(-10) - 2\/5*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, t: 9}. What is prob of sequence tt?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 5*q**2 - 2*q + 815. Let d be a(0). Suppose s - d = -4*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7578148 and 860?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - 267. Let h = 315712\/7 + -45448. Let x = k - h. Calculate the common denominator of x and -39\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 greater than or equal to 5080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 4.01. Let c = -4.9 + 0.9. Let q = c + v. Which is bigger: 2\/5 or q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67756, 67765, 67780, 67801?\nAnswer: 67828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 5*i + 14. Suppose 2*m + f = 1606, 3*m - 3*f + 2412 = 6*m. Let v = m + -794. What is o(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636502206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 10 = 3*l. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*k - 15 = 0, 14 - 4 = -2*z - 7*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 10 = 4*f, t = 3*f + 5. Suppose l = 3*l - 2*w - 130, 331 = t*l + w. Suppose 4*p - 8 = 16. Calculate the greatest common divisor of p and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13345 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 270750577 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 39739.2 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.3504 - -0.1154. Let s = -0.065 + y. Let p = 5.30058 + s. Round p to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + 2 + -21 + (144 - -1). Solve 41*u + r + 25 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1928, 2952, 3966, 4964, 5940?\nAnswer: 6888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 4 + 25. Let y be (k - -2)\/(20\/(-7) - -3). Let h be (-2 - (1 + -2))*-7. What is the highest common divisor of h and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -433, 1557, 3561, 5585, 7635, 9717, 11837, 14001?\n\"Answer: a**3 + a**2 + 1980*a - 2415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-492174)\/(-1394493) + 83\/1598*-7.\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0*r**6 + 0*r**3 + 0*r**5 + 11\/12*r**4 - 3\/14*r**7 + 0 + 0*r**2 + 8*r. What is the third derivative of n(j) wrt j?\nAnswer: -540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128.1 - -132. Let j = o + 1.1. Which is the nearest to -1\/6? (a) 3 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -53?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -196, -191, -184?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/102)\/((-2)\/6*-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2016?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 666.3 to the nearest ten.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*v - 143*v - 279 + 7167 = 0 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 4)*136\/(-12). Let z = p - 11. Let h be (-4)\/(-24) - z\/66. What is the biggest value in h, -3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 25 = -2*o - 7, -65 = -5*n - 5*o. Suppose -f = -3*t + 74, 5*f - 66 = -3*t + 2*f. What is the greatest common divisor of n and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 3570.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-39)\/1300)\/((-9)\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1163*m + 10471 = 1012 + 16994 + 20377 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Let a(p) = 3*p + 4 - p + m*p. Suppose -4*y - 2*t = -3*t + 23, -5*t + 40 = -5*y. What is a(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 - 4*u - 2. Let a(q) = 2*q**3 - 5*q - 2. What is -4*a(i) + 5*b(i)?\nAnswer: 7*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 + 7*a - 3. Let g be f(-8). Suppose 5*n = -5*b + 265, 0*b = g*b - n - 235. Let d = b - 36. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -50 - 6 - -46?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.4475 years to decades.\nAnswer: 1.14475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3283833.43999904 - 3283833. Let q = -179.44 + 179. Let w = p + q. Round w to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 149 = u, 0 = 2*m - m + 4*u + 56. Let g be (-1)\/(-2)*-3 + 18\/m. Is (-8)\/g*(0 - (-771)\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 times -3\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 76 + -2 - (69 + -163 - -80)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from uuzzzokouoouoooooo.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/22848 and -103\/13440.\nAnswer: 228480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.4 + -4. Let j = -17168 - -17155. What is the nearest to 0 in 1, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 739*a - 38026. Determine q(53).\nAnswer: 1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/97 (b) -1 (c) -200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**32*z*z)\/(z*z**(-9)*z))\/(z**(2\/9))**(-1\/41))**(7\/2) assuming z is positive.\nAnswer: z**(105917\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001054044408 to 6 dps.\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 4*c + 4740 = 0. Let x = c - 543. Let i = -117 + x. What are the prime factors of i?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 22*r - 3*r. Is 3 a factor of ((-65)\/r)\/13*-30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/3)\/2)\/(63\/189).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o. Let d(l) = -389*l + 1645*l + 2 + 14 - 16. Determine d(f(a)).\nAnswer: 2512*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35939788 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 259, 5 in decreasing order.\nAnswer: 259, 43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793 + 793 + 57*p.\nAnswer: 57*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(6\/(-3)) + 1. Suppose -h*g - 2*k - 62 = 2*k, -78 = 2*g - 4*k. List the prime factors of g\/(-2)*(-24)\/(-15).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 4*i + 23 = 16*f, 0 = f + 4*i + 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36219, -36211, -36199, -36183, -36163, -36139?\n\"Answer: 2*j**2 + 2*j - 36223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.1. Let k = s - 0.3. Which is the closest to 0.1? (a) -1\/9 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570454 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3736, -403\/16, -1\/2 in ascending order.\nAnswer: -403\/16, -1\/2, -0.3736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5123 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/42)\/((-1)\/(-3)). Sort 10\/13, -1\/4, 3\/4, l in decreasing order.\nAnswer: 10\/13, 3\/4, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 0 - 13*t - 1\/12*t**4 + 0*t**3 + 12*t**2. What is the derivative of c(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, v: 1, c: 3}. Give prob of picking 3 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -0*v - 50*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 60*k + 30 = -34*k, 5*s + 15*k - 156 = -16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35 + 1)*8\/12. What is the third derivative of 2*n**2 + n**2 - y*n**4 - n**2 wrt n?\nAnswer: -576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-480)\/300*(-30)\/(-12)*-1*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 11:06 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 61 - 67. Suppose m*q - 1 = 7*q. Is (-7 + q)*-46 + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -39?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -90, -307, -676, -1203, -1894?\n\"Answer: -g**3 - 70*g**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-14 - -2 - -13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*f + f - l, -l - 3 = -f. Let o(u) = -u**3 - u**2 + u. Determine o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -20, 6, -2, -2\/3 in ascending order.\nAnswer: -20, -7, -2, -2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8123 is divided by 2349?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10860169174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5193? (a) -1 (b) -52 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103049879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 4, w: 2, o: 1, e: 2}. Give prob of sequence eex.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -5. Let o(f) = 16*f**2 - 6*f + 11. Let y(u) = 3*u**2 - u + 2. Calculate p*y(c) - 2*o(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxzwxzzwqxxxzx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110121 + 133212312?\nAnswer: 133102131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*c**2 + 2875*c**2 + 256*c**2.\nAnswer: 3394*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 534 and 3912?\nAnswer: 348168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -6 + 1 + (-2 - 12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5064 divided by -173064?\nAnswer: -211\/7211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35047514 is divided by 211?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132.1 + -132.3. Which is the nearest to 2\/63? (a) o (b) -2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-1)*(-118)\/(-177). Suppose -41 - 7 = -4*f. Suppose -5*a + k = -10, 2*k - f = a - k. Solve y*h = -a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5538*l + 5544*l + 5535*l + 5531*l - 22149*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1698736)\/(-676) - 2\/(-26) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/30 + j**3\/5 + 2*j**2\/5 - 32*j. Suppose a(t) = 0. What is t?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(102))\/(1*sqrt(294)))**2 + 1 + (-1 + sqrt(17)*1)*6.\nAnswer: 843\/49 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*(s*s**(-3)*s)\/s*s)\/s*s\/s**9*s\/s**(-3)*s*s\/s**(-2) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77016 (base 8) to base 10.\nAnswer: 32270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, e: 11, u: 1}. Give prob of sequence em.\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333.1 rounded to the nearest ten?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - c806?\nAnswer: -c7db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(f + 2*f - 4*f) - 5 + 5 + 15*f as q*f + i and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 11*x + 204. Suppose -4*m + x + 123 = -5*q, 0 = -2*m - 3*q + 107. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1526, 3063, 4600, 6137, 7674, 9211?\nAnswer: 10748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:46 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 119*z**2 - 1007*z + 991. What is p(-127)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k - 15. Suppose -4*l - 35 = l. Let v be j(l). Suppose v*z = 9*z + 188. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 7 = -2*z. Let w = z + 6. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00070784738 to six decimal places.\nAnswer: -0.000708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**3 - 7*f**3 + 4*f**3 + (3*f**3 + 2*f**3 - 7*f**3)*(-2 + 3 + 1) - 1 + 3*f - 4*f**3 - 3*f as d*f + h + n*f**2 + z*f**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**0)*d*d**(-10)*d**10\/d*d*d**(-7) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 - -322. Let i = h + -471.591. Let u = i - 1.47. Round u to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w - 65. Let a be (-1 + -2)*(-80)\/(-12). List the prime factors of m(a).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/3 - 148391*m**2 - m\/3 + 148391 = 0 for m.\nAnswer: -1, 1, 445173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1726 + -335. Let p = c - 502. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -3. Let w(o) = -o**3 + 17*o + 19. Let k be w(-7). Let n = 238 - k. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129*((-79)\/((-24174)\/(-34)))\/(2\/(-18))?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -60. What is the second derivative of -45*f**3 + 49*f + 27*f**3 + k*f**3 + 8*f**3 wrt f?\nAnswer: 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 364 and 48516?\nAnswer: 339612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15791c - -c?\nAnswer: 15792a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2575 + 1352 - 1811)*(3*q - 2*q - 3*q) in the form g + m*q and give m.\nAnswer: 6068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-72))\/(3\/9). Is 0 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19334, 13019, 6702, 383, -5938?\nAnswer: -12261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 1962*q**2 - 320787*q.\nAnswer: -3*q*(q + 327)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Let n be (i - (-3)\/(-3))*-4. Solve g = -3*f - 4*g + 20, g = n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 5*u**2 + 6*u - 5. Let l be j(4). What is the units digit of l\/3 + 3 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 11*q = -5*q. Put -5, 5, -1, q in descending order.\nAnswer: 5, q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*f - 172*f - 9524 = 141*f + 10444 for f.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*d + 645 = -20*g + 6*g - 12*g, -g = -5*d + 20 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.605 - -7.1. Let c = 0.41 + u. What is c rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102.022 - 0.478. Let s = o - -102. Which is the nearest to -1? (a) -1\/4 (b) -40 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 10383e75?\nAnswer: -10383e71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 1, a: 2, s: 1, d: 2}. What is prob of sequence ads?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -26. Let m = -0.77 - g. Let z = m + -0.73. Sort -1, z, 4.\nAnswer: -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5078, 1\/3, -3?\nAnswer: 5078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3590012 less than 22075961?\nAnswer: 25665973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7452179 * 1\nAnswer: 7452179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5200 - -5227. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(75)*-2 - (sqrt(6) - (sqrt(864)*-2 + sqrt(6)))\/sqrt(2)))**2.\nAnswer: 55488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 19 = -21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3.8. Let l = 9 + -7.5. Let f = 1.8 - l. What is the nearest to f in 2, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2247180 and 1248?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16837111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -626*k + 611*k. Suppose 2 = -4*j + 10. Solve k - 5 = -2*s + 5*a, -j*a = 2*s + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/148 and 105\/3404.\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 345011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuujju.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 1.06. Let m = 0.01 + 0.39. Let t = -0.2 + m. What is the closest to y in 3\/4, t, -3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -4 - (-3 - (-1 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 7*s**2 + 2*s + 9. Let q be (-6)\/1 + 20\/(-10). Suppose -6*b + 235 = 61. What is the remainder when g(q) is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/20 - a**4\/12 - a**3\/6 + 5*a**2\/2 + a. Let b = 11 - 11. Suppose -3*w + 0*w = b. Give v(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 167 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 78*w - 245. Solve w*k + 5*t = 8, 0 = k - 10*t + 5*t + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.57039kg to tonnes.\nAnswer: 0.00957039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.273052mg?\nAnswer: 0.002273052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96150487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -327 + 222. What is the common denominator of 39\/10 and (-2)\/12*d\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 20985492?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -779 at least as big as -779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 115299, 2, 3.\nAnswer: -6, 2, 3, 115299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03009 to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108) + 2) + sqrt(108))**2.\nAnswer: 480*sqrt(3) + 2764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.5, 1200, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, 0.1, 0.5, 6132, 2?\nAnswer: 6132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -8) + 4 + (7 + -16 - -37)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 4. Let d be s(-8). Let u be ((-3)\/(-4) - 1)\/(1\/d). Solve -1 = j - 3*b, -15 + 0 = -5*j + u*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6 + -0.6. Let b = k - 7. Sort 1, b, 3 in increasing order.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8115529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2173\/17 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*p - 316*p = 315*p + 119 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 540 + -527. Let o be (w - 12)\/(17\/(-2)). What is the third biggest value in o, 2, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let x(l) = -l**2 + 11*l. Let b(g) = -11*s(g) - 2*x(g). Let u(w) = -4*w**2. Give b(u(q)).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.02, -2, 2\/13, 0.0081, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56442784?\nAnswer: 2, 281, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f + 26 = 4*t, 3*t - 4*f = 26. Let l = 33 - t. Suppose j + 5*i - l = 0, -3*j = 5*i + 2 - 53. Solve -5*k - 10 = 0, 5*n + 2*k - 3*k - j = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148.9799 - 22334.\nAnswer: -22185.0201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*s + 5*s + 86, q - 51 = 3*s. Let b = -16 + q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 330, -47, 2, -4, 5 in increasing order.\nAnswer: -47, -21, -4, 2, 5, 330","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:41 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - c**2 + 2*c**2 + 3 - 190*c - 5*c**2.\nAnswer: -8*c**2 - 190*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385304, 770607, 1155910, 1541213, 1926516, 2311819?\nAnswer: 2697122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 713, 637, 429, 23, -647?\n\"Answer: -11*o**3 + o + 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.49 + -6.99. Sort s, -2\/11, 0, 1 in increasing order.\nAnswer: -2\/11, 0, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -717?\nAnswer: 2151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 12*w - 5*w + 10 + 11*w - 8*w**2. Give a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 203b6762?\nAnswer: 203b6760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + -10110214?\nAnswer: -10110123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20687 + 41371 - 23*l - 20684 + 8*l.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 541156137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7649*b + 3 + 0 - 7650*b - 3.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276404, -552825, -829246, -1105667?\nAnswer: -1382088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (-3)\/(-3) - 3. Is s equal to 10\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74a1 (base 13) to base 2\nAnswer: -11111100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/165 + 9720\/(-396).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 10:51 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2. Let c(i) = -7*i + 5. Let v(l) = l. Let o(a) = -c(a) - 4*v(a). Let d be o(9). Let w(x) = -3 + 0 + d*x + 0 - 6*x. Calculate w(p(z)).\nAnswer: -32*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -105, -95\/8, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.62405 rounded to 0 dps?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(36)\/sqrt(4)) + 0 + 3.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 4:56 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m = 4*x - 85, -5 = -5*m. What is the smallest common multiple of 36*(20\/15)\/4 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25837160 and 9760?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 176505\/(-12) + 4 + (-26)\/8. Let s = j + 21640. Suppose -17*v - s = -21*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeszennsessnznee. What is prob of picking 1 n, 2 e, and 1 s?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 297077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -21*l + 8*l**2 + 21*l. Let c(k) = k**2. What is o(c(y))?\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -0.06.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f = 16*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m + 4*i - 140, 4*i + 4 = 0. Let u be (-36)\/(-14)*(-112)\/(-24). What is the highest common divisor of u and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 54*f**2 + 11*f - 11. Let t(w) = 30*w**2 - 2*w + 4*w - 58*w**2 - 2 + 39*w**2. Let g(b) = 2*o(b) - 11*t(b). Let k(y) = 2*y. Give g(k(r)).\nAnswer: -52*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {v: 5, t: 1, m: 2, n: 1, s: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/369923 and 53\/59665.\nAnswer: 1849615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5*5\/(-50))\/(40\/141440*26)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:57 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2430089312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g - 9 - 6*g**2 + 7*g**2 - 3. Give s(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w + 1. What is o(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.861.\nAnswer: 6.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/13*(-1)\/2*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (0 - 0) + (-65524)\/(-28). Let k = 2300 - x. Let d = 38 + k. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1106.923 - 1107.0730002. Let i = -0.15 - j. What is i rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (-4 + -1)) + (4 - -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 18286 = -91126. Does 46 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 1. Let i(c) = -2*c + 2. Let h be i(3). Suppose 6*n = 3*n + 45. Calculate the remainder when v(h) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3592\/195 - 274\/15. What is the nearest to -1 in 4\/15, o, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1377 or -1042?\nAnswer: -1042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 8*j - 1. Let o be y(-7). Suppose -2*a - 304 = 2*a. Let c = o - a. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/130 and 28\/65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*m - 5, -10*j - 165*m + 17 = -164*m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 7*p**2 + p - 1. Let d be s(-5). Suppose 2*m = -0*m + 5*z + d, 0 = 5*m + z - 132. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -4\/9 (b) -1\/4 (c) 1\/5 (d) -5 (e) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(200) + 1 + (-5*(1 + sqrt(200) + sqrt(200)) - -3*(-1 + sqrt(200))))**2.\nAnswer: 600*sqrt(2) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 7 - 13. Let v(y) be the second derivative of 8*y**3 - 6\/5*y**6 + 8*y**2 + 5\/3*y**i + 4*y - 12\/5*y**5 + 0. Suppose v(m) = 0. Calculate m.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 240, 4, -51?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 10*v**2 - 13*v + 24. Let d be ((-18)\/15)\/(((-63)\/(-60))\/(-7)). Let w be u(d). What is the greatest common divisor of w and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*k + 83, -3*m = 5*k - 4*m - 103. Suppose -6 = -2*r + 4*b, -5*r = -3*b - 9 - k. List the prime factors of (-3)\/r - 606\/(-42).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 49.28?\nAnswer: 49.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (408\/120)\/(1869\/210 + -9).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 263992 = 83496. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(6\/1))\/((-3)\/15). What is the nearest to -1 in 2, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.02 - 9.3. Let f = 10 - 9.68. Let m = v - f. What is m rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*q - u, -q - 2*u + u = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 89522155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170 + 120. Let k = q - -44. Is 4 a factor of (1 - 2)\/(k\/78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*h - 0, -4*h - 11 = 169*v - 172*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 72188848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 5:49 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1281.5232 months?\nAnswer: 10.67936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089467929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*d**2 - 314*d**2 - 177*d**2)*(10*d**3 - 2*d**2 + 2*d**2).\nAnswer: -5390*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113003122 - -13?\nAnswer: -113003103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-4 - 19) + 23\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19605517 is divided by 847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 8*p - 3. Let d be s(8). Let y be 14 + (-4 - 3\/d). What is the tens digit of (y\/(-3))\/(9\/(-54))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59345647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -251857, -503653, -755451, -1007251, -1259053, -1510857, -1762663?\n\"Answer: -g**2 - 251793*g - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 21*z**2 + 9*z. Let y(o) = 26*o**2 + 17*o. Give -9*c(s) + 5*y(s).\nAnswer: -59*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, -80, -198, -352, -548?\n\"Answer: -d**3 - 9*d**2 - 54*d + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 6:44 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -279 (b) -2 (c) 0.17 (d) -2\/5 (e) 4\/9 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*2 + (2*sqrt(7)*6 - sqrt(7)) + (sqrt(1575)*3)\/sqrt(9).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a56057 (base 11) to base 3.\nAnswer: -212011222102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-36)*t)\/t)\/t)**(-2\/119))**(2\/21) assuming t is positive.\nAnswer: t**(-48\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3 - 1769*i**2 - 7088*i - 7092 = 0. Calculate i.\nAnswer: -2, 1773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + s**2 + 0*s**2)*(-19 + 7 - 5)*(-3 + 3 - s**2)*(-7 - 9 + 1) as f + o*s + v*s**4 + z*s**3 + y*s**2 and give v.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4195013*g**3*m**2 + 12*g**3 + 265223*g**2 - 2*m**2 wrt m?\nAnswer: -8390026*g**3*m - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -210. Let m = -152 - d. Solve -3*p = -p - m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2.2. Let q = 0.2 - t. Let u(p) = p**3 - 14*p**2 + 11*p + 24. Let y be u(13). Which is the closest to 0? (a) q (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3*y - 3*r**3 + 24722828*r**2*y - 2*r**2 - 5*r*y + r - 81*y - 3516 wrt r.\nAnswer: 12*r*y - 18*r + 49445656*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 15. Let y be (g\/(-2))\/((-9)\/(-18)). Is y at least 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n. Let d(l) = 2*l**2 - 383. What is d(h(f))?\nAnswer: 128*f**2 - 383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -479.92 - -479.9. Let p be -1 + 2 - (-8)\/16. Sort -2, p, l in increasing order.\nAnswer: -2, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 + -102. Let i be -108*1\/(a\/18). Which is greater: i or -41?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -93*x**4\/4 - 5*x**3\/3 + 10231*x**2\/2 - 7794. What is the second derivative of u(v) wrt v?\nAnswer: -558*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 60*m - 29. Let g be c(6). Suppose -7*l + 329 = -2*l + x, 5*l - g = x. Calculate the greatest common divisor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24170 is divided by 121.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98164, -98162, -98160, -98158, -98156?\n\"Answer: 2*b - 98166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s*s\/(s\/(s\/(s*s\/(s*s*s**(-2\/5))*s))))*s)\/s**(1\/5))**(-16\/7) assuming s is positive.\nAnswer: s**(-96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.407618 - 0.013382. Let a = -21.7 - q. What is a rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 24. Suppose -d + g*d - 83 = -x, -x - 2*d = -71. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140168?\nAnswer: 2, 7, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (-4 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x - x - 5*x + 4*x - 3*x + 0*x + (-4 - 2 + 5)*(2 + 2*x - 2) - 2*x + 3*x + 3*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*j = -2*q + 12, -5*q = 2*j - 16. Factor 0*y**3 + 28*y**2 + 12 - 2*y**3 - 40*y - q*y**3 + 6*y.\nAnswer: -2*(y - 3)*(y - 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100548 != 100538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l, s - 8 = 3*s + l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 359759794 and 18.\nAnswer: 3237838146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -x, f - 8 = -5*x + 2. Solve -4*i = -12, -3*v + x*i - 6 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/51 + (-6)\/(-51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 - 3*g**2 + 6*g**2 + g**3 - 11*g + 8*g**2 - 12. Let l be f(-8). Solve c - 5*c - 4*m + l = 0, -3*c = 4*m - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 4 + 1359 - 1912 - 706 + (2 - 5 + 5)*(-1 + 4 - 1) - 2 + 1 + 0 + 4 - 1 - 1)*(1 - 2*o + 1 + 4*o).\nAnswer: -2504*o - 2504","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Suppose 0 = -q + 3 + b. What is the second derivative of -h**4 + h + 6*h**4 - 7*h**q wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302, -867, -1690, -2771, -4110?\nAnswer: -5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -62. Let n be (0 - -1)*2 + 6\/r. Let t = 121 - n. What are the prime factors of t?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(12)\/sqrt(3))\/(sqrt(22)\/sqrt(44)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*u + 14 + 50, 5*k - 55 = 5*u. What is the greatest common divisor of k and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12309714239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36360 and 89829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*b - 147*b - 236*b + 10450. Factor -15\/2*g**2 + b*g - 15\/2.\nAnswer: -5*(g - 3)*(3*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -1523595.1149\nAnswer: 1523567.1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11102012 (base 4) in base 9?\nAnswer: -32612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125609.27 rounded to the nearest one thousand?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*d**2*f + 819*a*d*f*h + 3*a*d - d**2*f*h - d**2*h + 22183*d**2 + f with respect to h.\nAnswer: 819*a*d*f - d**2*f - d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 + 2010011332?\nAnswer: 2010011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, r: 7, z: 2}. What is prob of picking 2 i and 2 r?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b7 + 7?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 - h - 1. Let w be v(-1). Let i be (w\/(-3))\/((-4)\/(-6)). Suppose 0*b = -i*b. Solve 4*u - 16 = b, -3*z + 2*u = 5*u - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/27))**(-1\/11) assuming h is positive.\nAnswer: h**(2\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3)*1*4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 2. Let q be f(-1). Let a(z) = -z**3 + 30*z**2 + 65*z + 27. What is the remainder when a(32) is divided by (-122)\/(-6) + q\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/4 + 45*h\/2 - 93\/4.\nAnswer: 3*(h - 1)*(h + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 84, 72, 70, 84, 120, 184, 282?\n\"Answer: w**3 - w**2 - 16*w + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 63*v + 7. Is u(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = 141*c - 108*c - 2781. Calculate the remainder when c is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zez when three letters picked without replacement from {z: 2, f: 2, s: 2, e: 2, w: 1, u: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 23*g + 74. Suppose -31*s + g*s = 150. What is the highest common divisor of s and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let g = -3 - 2. Let p(h) = -6*h + 5. Let n(t) be the first derivative of -12*t**2 + 21*t - 1. Let m(d) = g*n(d) + 21*p(d). What is c(m(v))?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/17085 and -3\/45560?\nAnswer: 136680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/8 - 0. Let y be -1 - ((-616)\/12)\/7. Let u = y + -6. What is the closest to u in -2, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ild when three letters picked without replacement from {d: 5, u: 1, i: 4, l: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195122 = -13*j - 194875 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 plus -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 4*g + 290000. Suppose 10*r - 3*r = 3*r. Let q be o(r). Round q to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/980368 and -55\/1102914.\nAnswer: 8823312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -150 in 4\/9, 2\/17, -872?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 13423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 4*s - 3. Let p be r(-6). Suppose -5*n + 4*h = -117, -2*h + 4 = -0*h. Suppose 2*l = 61 - n. What is the greatest common factor of l and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58176 - 58176 - 15133*v - 8100*v as q + y*v and give y.\nAnswer: -23233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 12:44 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-20)*6*3\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9391 + 10401. Solve -s*v + 1017*v + 49 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 146 = -27*a. Solve -a*p + p + 9 = -5*i, 4*i = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + j - 4*j - 15 = 0, -53 = -5*u + 4*j. What is the remainder when 33 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 165 = -15*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 25*w**4 - 25*w**3 + 15*w**2. Let v(z) = -z**5 + 13*z**4 - 13*z**3 + 7*z**2. Let d(a) = 2*l(a) - 5*v(a). Factor d(g).\nAnswer: 5*g**2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 2. Let w(q) = -q**3 - 3*q**2 - 2*q - 1. Let x be w(-2). Determine f(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1101 - 1633 - 2300)*(-4*y + y - y)*(2 + 1 + 0) to p*y + w and give p.\nAnswer: 33984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 5*d**2 + 4*d. Let c be s(6). Let f = c - -36. Let y(w) = -39*w - 33. Let o be y(-1). Calculate the greatest common divisor of o and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6 + (-19992)\/(-3330)). Suppose -4*g = 5*p - 14, -4*g = 4*p - p - 10. Suppose i = p*i - z - 119, 5*z = -5*i + w. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 975*o = 959*o - 112 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*u - 212*u = 245*u + 10808 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -342459 or -342462?\nAnswer: -342462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 - 98 + 98. Let r(s) = -2*s**2 + 7*s - 7. Let m(o) = 6*o**2 + o**2 - 5 + 5*o - 8*o**2. Let l(j) = -7*m(j) + 5*r(j). Determine w(l(n)).\nAnswer: -45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*x + 6 = 0, -28*n + 27*n - 11 = 5*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12784 is divided by 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(204) - (-3*sqrt(204)*-2 + sqrt(204)))\/(-3*sqrt(432) - sqrt(12)).\nAnswer: -5 + 6*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 - -35 - (-16 - -4)\/(-2). Solve d = -o - 5*t + 12, 2*o - 3*t - 16 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/5 - 1792*v**3\/5 - 695223*v**2\/5 - 10781552*v\/5 - 42671552\/5 = 0.\nAnswer: -1237, -539, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 not equal to 8.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -1, 4, -2 in ascending order.\nAnswer: -44, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6091\/10 + 607. Calculate the common denominator of o and 43\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-54 + 0)\/(38\/(-57))*727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -817*g - 812*g - 819*g + 2496*g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - -11. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-4)*18)\/(31\/682) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j + 1. Let l be a(2). Suppose 6*h - l*h - 24000 = 0. What is h rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2033 - -1?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/321594 and 71\/288?\nAnswer: 15436512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, c: 5}. Give prob of sequence cvc.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (214 - (-2 - -4))\/(-2). Suppose 2*k = 83 + 359. Let h = d + k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u - 27 = -n, 5*u + 44 = 2*n. Let a(f) = -2*f - 11. Let k be a(u). Let q(z) = 3*z**3 - 10*z**2 - 13*z + 7. Is q(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 4*u + 219. Let m(k) = -k**3 - 6*k**2 + 17*k + 8. Let s be m(-8). What is the remainder when y(s) is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 13*m**2 - 16. What is a(13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13020)\/(-56)*(-116)\/(-290).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/(-340))\/(5 + (-260)\/16)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.7165889 rounded to 3 dps?\nAnswer: 23.717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 84*c + 24077. List the prime factors of b(0).\nAnswer: 24077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 + 189 = 13*f. Solve -f*h + 27*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105\/17 - 1769\/102. Let o = -2\/705 + 75479\/15510. Calculate the common denominator of o and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 345\/(5*(-39)\/(-13))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (4 - 12) - 0) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -787, -785, -783, -781, -779?\n\"Answer: 2*k - 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*q + 9*q. Let s(j) = -q + 27*j**2 - j**3 - 678*j + 653*j - 7. Let u be s(26). Solve v = -v + u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 + k**2 - 5*k - 5. Let c(n) = -n**3 + n + 1. Calculate 5*c(q) + l(q).\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93\/4 or 23?\nAnswer: 93\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/715212 and -49\/59601?\nAnswer: 715212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*a - 117, 2*t - 4*a = -2*a - 234. Let d = t + 315. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 39723*i + 1152731. What is v(29)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -49 in decreasing order.\nAnswer: 0.4, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 - 8*g + 4. Let j be b(-6). Let h = 3 + j. Suppose -m - h = -59. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + 3*w)*(-4 - w**2 + 4) + 3*w**3 + w**3 - 3*w**3 + (-1 + 1 + 2*w**2)*(3*w - 4*w + 3*w) - 3*w**3 - 1 + 1 - 3*w**3 - 4*w + 4*w.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 309, 463, 617?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 3)*-4 + 104\/(-24). Which is the closest to 0.3? (a) w (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.4 + -5.23. What is k rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6)*k\/(k**(-1\/3)*k))**(-23\/3) assuming k is positive.\nAnswer: k**(-23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7736808334 rounded to three dps?\nAnswer: 0.774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f + 2*f. Let q be 1 + (f + -1)\/(-1). Solve -3 = 3*a, -2*l = 3*a - q*a - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/39)\/d))\/(d\/(d**(2\/5)\/d)*d) assuming d is positive.\nAnswer: d**(-107\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3\/4 - 36961*b**2\/2 - 4579705*b\/4 - 7109025 = 0.\nAnswer: -73860, -55, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.014, -6, -2\/9 in increasing order.\nAnswer: -6, -2\/9, -0.014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 3:02 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 5*w**3\/6 + w**2\/2 - w. Let s(h) = h + 1. Let q = 5 - 6. Give q*m(t) + 3*s(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39475 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:23 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -710*o**3 + 1141*o**2 + 560*o - 4 = 0. Calculate o.\nAnswer: -2\/5, 1\/142, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6364 (base 9) to base 6\nAnswer: -33351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126013776 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.23 - 0.93. Let t = -29 + 35. Let g = t - q. Which is the third biggest value? (a) 2 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 6*f - 4*f)*(-7*f**2 - 3*f**2 + 2*f**2) - 3*f**3 + 3*f**3 - 3*f**3 + (3*f + 2*f - 2*f)*(-14*f**2 - f**2 + 3*f**2).\nAnswer: 41*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -71.765184*-7\nAnswer: 502.356288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -6. Let n be 4\/(-22) + (-24)\/k. Let g(s) = n*s - 3*s - 2 + 2. Let u(x) = x**2. Give u(g(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -4. Let n(b) be the first derivative of -b**3\/3 - 2*b**2 + 8*b - 169. Let q be n(u). Solve q*y - 3*o - 19 = -4, 0 = 3*y + 2*o + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1831)\/(-7) - 1\/(28\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16704)\/(-1740)*((-225)\/(-220))\/9?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6737, -1\/2, -5, -4, 0.2, 0.1 in descending order.\nAnswer: 6737, 0.2, 0.1, -1\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*m**3*x**3 + 2*m**3*x**2 - 20*m**3 - m*x**3 + x**5 wrt x.\nAnswer: -474*m**3 - 6*m + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3198457 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*n - 622 = 0, w + 2*w - 930 = 2*n. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 + 2*r - 35)*(2*r + r - 5*r - 3*r + 0*r + r + (-5 + 2 + 1)*(4*r - r - 5*r) + 0*r - 3*r + 9*r) as m*r + k + l*r**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2464*h + 1610*h - 1969*h to the form z*h + r and give z.\nAnswer: -2823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*l - 2 + 24*l + 24*l to the form p*l + g and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1892 + 1136. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 = -4*z, z = 4*f + 3 - 20. Suppose 0 = 2*o + 3*q - 13, -23*o = -19*o - 3*q + 1. Sort -7, z, 5, o in decreasing order.\nAnswer: 5, o, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 389159\/15 - 25943. Determine q, given that -2\/15*q**2 - 16\/15*q - l = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*l + 21 = -2*k, 3*k + 2*l = 19. Solve 0 = -k*f + 2*s + 13, 4 = -f - 3*s + 2*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-1\/25)*((t\/(t\/(t\/(t\/(t*t**(-29)))*t*t)))\/t)\/t*(t**(12\/11)*t)\/(t**(9\/11)*t) assuming t is positive.\nAnswer: t**(-7361\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7098, 14340, 21582, 28824, 36066?\nAnswer: 43308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g**(7\/6)\/g)\/(g\/g**(5\/4)*g**(-5\/2)*g) assuming g is positive.\nAnswer: g**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3508487*g**2 - 10297190 with respect to g.\nAnswer: 7016974*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -146 (b) 2 (c) 5 (d) -3 (e) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffkfkvfkvff. What is prob of sequence vkv?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18200090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 16*h**2 + 11*h + 9. What is d(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*q - 230 + 212 = 414. Which is the fourth biggest value? (a) 1\/4 (b) 1 (c) 2 (d) q (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 - -183. Let b = 191 + -88. Let o = f - b. Which is greater: -6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1443 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62*k**2 - 182 - 27*k**2 - 144*k**3 - 35*k**2 wrt k.\nAnswer: -432*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 986953.7us?\nAnswer: 986.9537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -15. Suppose s = -3*s + n*b, -4*b = -12. Solve 3*k + s*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 159 - 59 = -14*w + 5*b, 5*b = -12 + 2 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430*769.6.\nAnswer: 330928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 - 41) + (-3 - -16) + -47?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 112*t**3 - 2*t**2 - 39*t + 115. Is o(6) a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*o**4 - 83*o**2 - 42*o + 31?\nAnswer: 216*o**2 - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5626175.39 to the nearest one hundred.\nAnswer: 5626200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -1 - (0 + 0). Suppose -2*c + 3 + 1 = s. Let q be (1 + -2)\/(c\/6). Sort 4, q, 1 in descending order.\nAnswer: 4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1966 divided by -88.\nAnswer: -983\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 8*s - 8. Let u be q(6). Let k be 2\/4 + 20\/(-8). Find the common denominator of -53\/8 and k\/(-28) + 2\/u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * 0.253.\nAnswer: 12.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 1944*u. Let h(z) = 129*z**2. What is o(h(b))?\nAnswer: 49923*b**4 + 250776*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 m, 1 a, and 1 l when four letters picked without replacement from ahhhammhhalqhmhhmmhh.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -41652.\nAnswer: 1\/10413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -39*w + 207. Suppose 0 = i - 2. Calculate the highest common divisor of i and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*q + 5, -3*q - 2*v = 2*v - 18. Suppose -b + 18 = q*b. Suppose 3*l - 3 = b. Sort l, 0, -5.\nAnswer: -5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.47 + 16.47. What is the nearest to -2\/5 in 2\/3, 4\/3, 479, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - 13.5. Let c = -11 - z. Let m = 34\/3 - 12. What is the second smallest value in -5\/2, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*v + 73, 2*w - 4*v - 4 = -26. Let r = 31 + w. Find the common denominator of 79\/4 and (37\/(-20))\/(2\/r).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Suppose 0 = -q*d + 4. Suppose d*b = -4*h + 110, -2*h - 281 = -5*b + 18. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 67?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 - 2*i**3 + 4020*i - 13*i**3 - 1709*i - i**3.\nAnswer: -7*i**3 + 2311*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*q = -8*k + 74, 2473*k - 4*q - 72 = 2469*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 1. Let s(b) = 6*b**2 + 3*b - 2. Let g(t) = 3*h(t) + s(t). Let w(o) = o**2 - 1. Calculate -g(y) + 5*w(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -49. Suppose 5*l - 85 = 2*u, 5*u - 85 = 3*l - 8*l. What is the highest common divisor of a and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10552670 or -10552683?\nAnswer: -10552683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, f: 5, n: 3, z: 1}. What is prob of picking 1 f, 2 n, and 1 w?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10*w = -42. Let g be 6 + w\/(-14)*(-3 + 1). Suppose -n + 17 = -5*b, b + 11 = 11*n - g*n. Solve 5*d + 2*j + 11 = 0, n*d = -4*j + 4 - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3*q + 4 = -18, 3*c + 2*q = 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {n: 4, f: 9, w: 1, g: 4, v: 1, x: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7091507948 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 421058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 685\/2 + -343. Put c, 4, -7 in descending order.\nAnswer: 4, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -128, -4, -1, 2.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 8:06 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10112 (base 3) to base 13.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 + 32*p**4 + 24*p**3 - 160*p**2 + 100*p.\nAnswer: 4*p*(p - 1)**2*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = 1. Suppose 0 = -0*w + a*w - 9. Suppose 32 = m + w*m. Solve 2*u - h = 15, -3*u - 30 = -m*u + h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 3*u**2 - 3*u. Let n(c) = c**2 - 7*c - 4. Let i be n(8). Determine b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 5, -42737, 1, -4 in decreasing order.\nAnswer: 5, 2, 1, -4, -5, -42737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*n - 0*t + 33, 5*n - 37 = -t. Let w = n - 6. Let v(a) = 6*a**3 - 2*a + 2. Let s be v(w). Solve -20 = -s*y + y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5156858.511 to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - g - 13)*(6*g**4 - 22 + 22).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -54. Suppose b = -31*m + 27*m. Solve m = 3*t + 8 + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -6.\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m + 3. Suppose -c - 7 = -m*c - 5*i, -4*i = 2*c - 8. Suppose 0 = -c*k + 3*k + 9. Solve -3*a + 3*y + 12 = k, 24 = 5*a + 4*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - j + 0 - 5 = 0, 3*t + 3*j - 15 = 0. Factor 17*p**4 - 4*p**3 - 14*p**4 + 3*p**t - 2*p**3.\nAnswer: 3*p**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**3*p*u + 13*n**3*u - 3*n**3 - 115*n**2*u - n**2 + 2*p*u + p wrt n.\nAnswer: -12*p*u + 78*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*v + 17 + 23 = 0, -2*y + 3*v = 20. Let q(r) = -r - 5. Give q(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 6*w - 24, 0 = 2*w - 35*v + 30*v - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12558 or -12510?\nAnswer: -12510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -759 (base 15) to base 6\nAnswer: -11403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3888*h**2 - 10*h - 55 + 34 + 24316*h**2. Let c be g(-9). Let r = 2924737 - c. What is r rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904 = 4*d - 2*g - 830, -3*d - 2*g = 52 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (14 - (-29 - -14)) + 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 2, n: 2}. What is prob of picking 1 g and 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 1039 - 2500 + 950 + p**3 as g*p + y + w*p**3 + h*p**2 and give y.\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 201183 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 431694 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(832))**2 - -6*(0 + sqrt(13)) - ((sqrt(78)\/sqrt(6))**2*-3 + sqrt(1300) + sqrt(1300)*3 + sqrt(1300)).\nAnswer: -44*sqrt(13) + 871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -1 - (-44 - -45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -34*n. Let o(v) = -58*v + 54. Give r(o(m)).\nAnswer: 1972*m - 1836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*-8718.295\nAnswer: -26154.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/27)\/l)\/(l\/(l**(-3\/4)*l)) assuming l is positive.\nAnswer: l**(-181\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1596 - -2811. Suppose -3*a + q = -888. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -338, -5, 2 in ascending order.\nAnswer: -338, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(204)*2)\/(sqrt(12) + (sqrt(432)*-1 - sqrt(12))) + 1)**2.\nAnswer: 10*sqrt(17)\/3 + 434\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -24. Let u = 10.49 - -1.51. Let y = l - u. Which is the second biggest value? (a) 0.2 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -49) + -14 + -26 - (50 - 2).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -28823*b - 505. Let d be m(-35). What is d rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45332 or -90665\/2?\nAnswer: -90665\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-7) + 0\/6. Let s be (-2)\/6 + 20\/14. Let a = s - w. Put a, 2\/9, 0.3 in descending order.\nAnswer: 0.3, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24702 by -6.\nAnswer: -4117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2360 and 850?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -179*j**2 - 2*j + 2. Let n be y(2). Let w = n - -416. Let z = -908 + w. Round z to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5969*x**5 + 1989*x**4 - 43*x**2 + 12717*x - 43.\nAnswer: 358140*x**2 + 47736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 2*w)*(2*w - 2*w - 3*w) + 1468 - 758 - 2*w**2 - 773.\nAnswer: w**2 - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 210. Suppose -5*i = -13 - l. What is the remainder when i is divided by 8\/44 - (-150)\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 10 = -4*w + 2*t, 0 = 2*w + 3*t - 5. Suppose -5*g + 11 = w*y + 3, -g = 5*y + 11. Let b = y + 3. Solve 8 = 2*q + 2*p, b = -p + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 3*o**5\/5 - 3*o**4\/4 - 5. Let u(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.179ns in microseconds?\nAnswer: 0.176179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 2 = -u + 38 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 + 4*i**2 + 3. Suppose -5*h = -57 + 32. Let m(k) = 9*k**3 - 7*k**2 - 5. Determine h*g(p) + 3*m(p).\nAnswer: 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 57 - 356 = -27*d. Let w(u) be the first derivative of -d + 4\/15*u**3 + 8\/5*u - 6\/5*u**2. Factor w(t).\nAnswer: 4*(t - 2)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 23. Suppose -2*h + 3*h - r = 0. Calculate the remainder when 44 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -41 - 7 + 1 + 9 - 4*d**2 - 78*d = 0. What is d?\nAnswer: -19, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*((-255)\/(-75))\/17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-430)\/(-8) - (0 + 3\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 65*h + 315 = 0, -3*h = -s + 6*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(24)\/sqrt(6)))**2*-5.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964487360.\nAnswer: 2, 5, 12389023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140356543?\nAnswer: 373, 376291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b51 (base 13) in base 15?\nAnswer: -1d14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(2 + 2 + -2). Let d(f) = 4*f**3 - 8*f**2 + 3*f. Let s(l) = 5*l**3 - 9*l**2 + 4*l + 1. Let j(q) = c*d(q) - 3*s(q). Calculate j(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*s**4 + 17*s**3 + 5*s**2 - 894.\nAnswer: 24*s**3 + 51*s**2 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 610 + -105. Let l = 503 - r. Let m = -17.9 - -2.9. Which is the biggest value? (a) l (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 166311 = -691309. What are the prime factors of n?\nAnswer: 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8468 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: List the prime factors of 507566339.\nAnswer: 7, 67, 1082231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 124707281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -312142 and 2.\nAnswer: -624284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + t. Suppose -5*m = 10 - 0. Let y(v) = -2*v**2 - 3*v + 3. Let d(n) = m*q(n) - y(n). What are the prime factors of d(4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 3. Let u be h(-6). Let r = u + -8. Suppose -234 = 35*m - 654. Calculate the remainder when m is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-2*1 + -1*sqrt(78)*-1 + sqrt(78))*4)\/((sqrt(216) + -3*sqrt(216) + sqrt(216) - sqrt(216)) + (sqrt(486) - sqrt(486)*2 - sqrt(486)) + sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -130223?\nAnswer: -520892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 - -157. Let p be 5 - (s\/15)\/(4\/78). Let h be (-595)\/(-3) + 1\/(-3). What is the greatest common divisor of p and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-5))**(-2\/135)\/(c**(-3))**(-1\/7) assuming c is positive.\nAnswer: c**(-349\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20072*a**5 - 6*a**3 + 181*a**2 - a - 2561 wrt a.\nAnswer: -1204320*a**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(1\/9)*l))\/l**(-3\/5)*l*l**0*l**(2\/11))**(-10\/7))**(26\/3) assuming l is positive.\nAnswer: l**(-43004\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 2:31 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -313449700 rounded to the nearest one million?\nAnswer: -313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22082757 is divided by 1932.\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -19622.\nAnswer: -5\/19622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*f + 37 - 6 = 0, 5*s = -2*f + 26. Solve -l - 14 = -3*x, -6*x = -3*x + s*l - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 29969?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -263*p**3 - 5*p**2 + 132*p**3 + 129*p**3 + 9*p + 20. What is the least common multiple of 36 and o(-4)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 9 + (-4477134)\/552)\/((-2)\/(-8)). Round n to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930144030 a multiple of 2395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(28\/(-88)))\/(-11*(-22)\/847)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-5 - ((-8 - 3) + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrvltvmmtms. Give prob of sequence vl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239 take away -37716701210?\nAnswer: 37716699971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1136, 2, 132\/13, 0.2, 4 in increasing order.\nAnswer: 0.2, 2, 3, 4, 132\/13, 1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 510476316 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.7 + -33. Let z = -0.3 - h. Which is the second smallest value? (a) z (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1015\/33 - 92\/3. Let w be (62\/18 - 3)*(-9)\/24. Which is the closest to 0.1? (a) h (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 16*n = -5400. What is the highest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95175841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -502164 by -41847.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6635957300 to the nearest integer?\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, 39, 3, -5, 2\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q + 7 = -36*q, 0 = -c + q - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 304340279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 13.9 (c) 0.3 (d) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*a - 90 = -4*d, -2*a + 131 = 5*d. Calculate the smallest common multiple of d and 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-8)\/(-20)*5. Is 1\/3 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 + 23 + -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -332633.92509852 + 332545.9251. Let j = -167 + 255. Let l = j + a. What is l rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + (2 - -6)\/48. Is c at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(-16)\/12. Suppose 3*u - 14 = -5*n - 1, 5*n - g*u = 33. Suppose -2*m + 15 = 3*m, -n*m - 51 = -3*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 1)*(-440)\/(-33). Suppose 0*z + q - x = -2*z, -q = 3*z - 60. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -28*j - 2756. Is j a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87.1, -2\/7, -2\/5, -1\/7, 0 in ascending order.\nAnswer: -87.1, -2\/5, -2\/7, -1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*b + 3*b - 3*w, -b = -3*w - 13. Suppose o + 2*a = 18, b = 5*a - 21. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.62 - -0.12. Let f = d + 1.7. Let g = -59 - -241\/4. What is the nearest to f in 1\/3, -1, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -2737.\nAnswer: -2741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, -19, 4 in decreasing order.\nAnswer: 4, 3, -13, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 181 + 348 - 173.\nAnswer: -2*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -618 + 620. Solve 3 = -4*g + 3*q + 4, f*q = g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + h**3 + 17962*h**2 - 18020*h**2 + 18 in the form y + r*h**3 + o*h + n*h**2 and give n.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*((-39)\/6)\/((-1)\/(-4)). Let t(b) = 3*b**2 - 70*b + 28. What is the hundreds digit of t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-540)*15)\/((-58)\/(-87)) - (-61)\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*c + 15 - 44, 4*c + 26 = -5*q. Let w(h) = h + 6. Let m be w(q). Suppose -2*b - b = m. Solve k + 2*k - 15 = b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 9*m - 11958 = -5*x, -4*x - m = -9572. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119 - 171) + (0 - -28)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*i + q - 19, 162 = 5*i - q. Suppose i*j + 6 = 35*j. Let a = 3 - j. Solve a = n - 4 + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 31. Let s be (2*-3 - 2) + 1. Let a be 6\/(-2) + d + s. Do a and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n**2 - 4*n + 3. Let j be o(3). Suppose -2*z + z = j. Solve v + 0*v**2 - v**2 + z*v**2 = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 219 = -3*a, 4 - 10 = 2*a. Suppose n*h - 49*h = 9904. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38040*m**4 - 117*m**2 + 96*m wrt m?\nAnswer: 912960*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 - 8.3. Let a = -3 - s. Let u = 0 + a. Which is smaller: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163\/74712 or -1?\nAnswer: -163\/74712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 922 - 914. Calculate the smallest common multiple of q and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k + 0*k - 16*k**2 - 4*k**4 + 2*k**2 + 7*k**2 - 8*k**3 - 3. Let w(f) = 3*f**4 + 7*f**3 + 7*f**2 + 3*f + 2. Let j(z) = 4*t(z) + 6*w(z). Factor j(p).\nAnswer: 2*p*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 5 - -7 - 9) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -68 and -1828\/27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3050.55 and 675.\nAnswer: 3725.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -190?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*-2*-5)\/sqrt(11).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2144770213?\nAnswer: 313, 6852301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3\/2 + 5820*h**2 + 1705015*h\/2 + 846690 = 0 for h.\nAnswer: -2171, -156, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 2\/7, -25, 166, -1\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13133458?\nAnswer: 2, 13, 463, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 728 and 10?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + de54fc?\nAnswer: de54fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78345 by 45.\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -219 - -215. Which is the nearest to -1\/3? (a) -5 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -10*k + 15*k - 1259, 3*w - 1257 = -5*k. Is 42 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*t**2 - 1070*t + 1070*t)*(1 + 3*t**2 - 1) - t**4 + 6*t**4 - 3*t**4 to the form h*t + x*t**3 + l + j*t**4 + w*t**2 and give j.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (127*b + 5 + 15 - 124*b)*(1 + 2 + 1) to k*b + r and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -467, -5, 4, -10, -41 in ascending order.\nAnswer: -467, -41, -10, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23696, 22922, 22148?\nAnswer: 21374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679184693?\nAnswer: 11, 5483, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**3\/6 - j**2\/2 + 4*j. Let u(a) = -3*a**3 - 2*a - 1. Let m be u(-1). What is s(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891088.\nAnswer: 2, 11, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3, 1\/79, -1\/6, 2817, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:19 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -33. Let i = o + 16.999894. Round i to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 0*r**2 + 0 + 10*r + 0 + 5*r**2 + 2*r**4 - 2 to z*r**4 + w*r**3 + p*r**2 + x + g*r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 279155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4984924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*h - 201 - 33 = -12*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*-6*(-3)\/27\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 68*o + 672. Determine m(56).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.805297902 take away 1.6?\nAnswer: -0.794702098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-10) - (1 + 6\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.81, -1\/5, 71, 0?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -15528\nAnswer: 5\/3882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -174*j - 362. List the prime factors of m(-16).\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 + 5*w + 25. Let v(x) = 2*x**2 + 3*x + 13. Let o(n) = -3*t(n) + 5*v(n). Let k be o(3). What is the nearest to k in -0.1, -17, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.3 and -72 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26735 (base 9) in base 12?\nAnswer: -a57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 79 = 65. Let j = -33 + w. Let o(m) = 34*m - 1. List the prime factors of o(j).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5287 is divided by 1742?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 1, q: 2}. What is prob of sequence pq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4817623t to nanograms.\nAnswer: 481762300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 + 22\/6. Let c be (-8)\/(-12)*3 - 0. Sort 1, y, c, 0 in increasing order.\nAnswer: 0, 1, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 12*k. Let v(t) = -125*t**2 + 12*t + 3. Let g(f) = 258*f**2 - 20*f - 5. Let a(x) = -3*g(x) - 5*v(x). Determine w(a(l)).\nAnswer: -1788*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-38)\/4*14\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 280378829597?\nAnswer: -280378829594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - h - 3. Suppose 5*a = -z + 4*z + 9, -2*z + 2*a - 6 = 0. Let f = 3 + z. Give l(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 94123658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s - 4. Let w(i) = i. What is c(o) - 8*w(o)?\nAnswer: 6*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*r**2 + 105*r**2 - 323*r**2 + 142*r**2 + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142186545 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18885460.5s?\nAnswer: 218.58171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 7*z**2 + 7*z + 9. Let d be m(8). Let n(x) = 6*x - 1. Let g be n(d). Suppose -3*w + g*w = 24. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 6*x - 63. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4984.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -191.3 (b) -0.7 (c) 15.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6*f = 2*f. Suppose 2*x - 6 = -2*v, 0 = -2*v - f*v - 4*x. What is the smallest common multiple of v and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19134821621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/8 + (-72)\/(-96). Let a(q) = q**2 - 7*q + 4. Let i be a(7). Let j(r) = -r**2 - 12*r - 4. Let c be j(-11). Put u, c, i in decreasing order.\nAnswer: c, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 3) + 1 + 8 + 2 + (0 - 0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjpjjfjff. What is prob of picking 1 f and 1 p?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 92 = 5*i. Suppose 16*d + 0 = -0. Suppose 3*k = 2*y - 3*y + 57, 5*y + 5*k - 245 = d. Calculate the remainder when y is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 18504*h**2 - 110920*h - 295872.\nAnswer: -2*(h - 9246)*(h - 8)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 68.70898 years?\nAnswer: 6.870898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - -3 - (-1 + -13 + (-56 - -73) - 5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -3, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/972)\/(50\/(-45)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let q(f) = -27297351*f. Give q(t(u)).\nAnswer: -27297351*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 407693.4ml?\nAnswer: 407.6934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*p = -266 + 38, -3*j + 2*p = -208. What is the greatest common divisor of j and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24736372 and 4346.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -510 divided by -3.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s + 1. Let l(x) = x**2 + 12*x - 9. Let r be l(-13). Let f(g) = -g**3 + 5*g**2 - 5*g + 7. Let t be f(r). Give n(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 22 = -4*l, 4*o + 12 = -2*l + l. Suppose 0 = c + 4 - l. Let a(n) = n**2 - 4*n - 3. Determine a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 19*z - 31. Let y be h(-17). Let t be y - (3 + (-65 - -2)). Suppose -t = -3*x - 4*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (5 - -4) - (2 + (12 - 22))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79896\/29961*54\/(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8941158 divided by -9?\nAnswer: -993462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/20 - p**4\/3 - p**3\/3 + 9*p**2\/2 - 19*p. What is the units digit of y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*q**2 + 28*q + 9*q - q**5 - 8*q**3 + 65*q**3 - 14*q + 8*q**4 + 29*q.\nAnswer: -q*(q - 13)*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -206\/3, 2936, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/80 and -43\/56?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6565.98049 rounded to the nearest ten?\nAnswer: -6570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*c, 545*c - 546*c = -5*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -261 divided by 5\nAnswer: -261\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*u + 3, 2*s - 7 = -2*u + 3*s. Suppose -9 = -3*g, -g + 109 = -2*x - 2*g. Let w = x + 166\/3. Is u greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*g)*((-g**3 - 2*g**3 + g**3)*(-g - g + 0*g) + g**4 + 0*g**4 + 2*g**4).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*s - 66, 2*s - 113 = -s + 4*f. Solve 0 = -45*k + s*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1446046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -218 times 956\nAnswer: -208408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 0*o - 4*o + 2*o. Let h = 6 + 13. Let q(w) = -h + 4*w + 19. Calculate q(s(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:20 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8736 = 15936181*n - 15936013*n for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: In base 12, what is 23999 + -591?\nAnswer: 23408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/7*3*(-3)\/171?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39023 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shsu when four letters picked without replacement from hshsosuhffouh?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.828 + -15. Let y = z + 0.17200556. What is y rounded to seven dps?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -165 and -296173551857.\nAnswer: -296173552022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(7)*5 + ((sqrt(77) - 1*sqrt(77) - sqrt(77))*-6)\/sqrt(11).\nAnswer: 31*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2 + 5. Let d(h) = y - 5 - 2 - 2*h. Let u(c) = 2*c**2 + 2*c - 2*c. Determine u(d(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 17 + 66 + 74 + 20)*(19*x + x + 407 - 19*x) in the form c*x + r and give r.\nAnswer: 50061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/123 and -65\/89913.\nAnswer: 89913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 0*u - 22*u + (0*u - 3*u + 5*u)*(-5 + 4 + 2) - u - 2 + 4 + 0.\nAnswer: -25*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-23 - (-63 + 67))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -3*k + 4*k + 50 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 2*q**5 - 37 - 38 + 5*q**5 - 3*q**5 - 3*q**5 - 5*q**5 + 4*q**5 - q**5 + (-5*q**3 + 2*q**3 + q**3)*(-2*q**2 + 5*q**2 - q**2) + 2*q + q**5 - 2*q.\nAnswer: -8*q**5 - 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -20724181?\nAnswer: -20724179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 - 16*t**3 + 18*t**3 - 2*t - 5 + 3*t**2 + 3*t**2 + 63*t**3 to the form n*t**3 + q + r*t**2 + w*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297226142 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1. Let m(p) be the first derivative of -3*p**2\/2 - 7*p - 40. Give m(u) + 5*z(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2753, 2651, 2475, 2219, 1877, 1443, 911?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4\/5 + 4*h**3 + 79*h**2 + 234*h - 1584\/5 = 0.\nAnswer: -8, -6, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from tcmmtcmtcmmtotccc?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443420 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -721*u**6\/120 + 53*u**5\/30 - u**3\/2 - 632*u**2. Find the third derivative of d(a) wrt a.\nAnswer: -4326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dcae06 (base 15) to base 7.\nAnswer: 155246466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1163050 and 15400?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9353, -36428, -81551, -144722, -225941?\nAnswer: -325208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcgg when four letters picked without replacement from gzzzczgzzcccccc?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 2*i - 2. Let y be h(2). Let f(a) = a**3 - 6*a**2 + 2*a - 7. Let v be f(y). Solve -v*p - 7 = 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 4*y - 8*z + 11*z, 3*y = -5*z + 268. Which is greater: 97 or y?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -370042\/15 + 24659. Let c = w - -68\/15. What is the common denominator of 29\/5 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 32827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w. Let i(v) = v**3 + v**2 + 3. What are the prime factors of i(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 190 (b) 0.1 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/12 - 48836*h\/3 + 2539303\/12.\nAnswer: (h - 195331)*(h - 13)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/((-45)\/90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-1\/3)))**(-35)*j**(2\/9)\/(j\/j**(-1)))\/(j*j\/(j**3\/j)*j*j**(-6)*(j**(2\/3))**(-35)) assuming j is positive.\nAnswer: j**(344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7956102 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 7232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1794 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/4 + q**3\/2 + q. Calculate h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 17 - 20\/(-2) - 20) + 0\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 6 + 2*p - 2*p - 20 to the form c*p + z and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -3*m + 21, 5*m = -1552*b + 1549*b + 33 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75573212 + 1461.\nAnswer: -75571751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {g: 1, o: 4, u: 2, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(176) + 5)**2 + (sqrt(396) + sqrt(396) + 2)**2 + 0.\nAnswer: 96*sqrt(11) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 234, 230, 226, 222?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*r - z = 12, 0 = 5*z + 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -21, -155 in ascending order.\nAnswer: -155, -21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01363603911 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1339555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58626964637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863961779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 18*v = 108. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 87 - 487. Let z = t - 3. What is the remainder when z is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 19 = -2*h + 27, 0 = -2*q - 5*h + 7 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -10) + (-7 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 89, 528, 1251, 2252, 3525, 5064, 6863?\n\"Answer: -q**3 + 148*q**2 + 2*q - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -583 + 179. Let x = 729 + k. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9853357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 + 1 = 4*x, 4*x - 21 = -n. Let o be -838*4\/(32\/x). Let z = -295 - o. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 + -4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15.1 - 861\nAnswer: -876.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401 + -321?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/14 - 4\/(-14). Let i(u) = -2*u**3 + u**2 - u - 1. Let s be i(k). Let q be 3580\/(-2148)*(-6)\/85. Put -1\/9, q, s in ascending order.\nAnswer: -1\/9, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1297743, 2595532, 3893323, 5191116, 6488911, 7786708, 9084507?\nAnswer: 10382308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -139\/3 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68028 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: Sort 56\/5, -4, -2, -3\/8, -0.6, -0.4 in ascending order.\nAnswer: -4, -2, -0.6, -0.4, -3\/8, 56\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1586 (b) -8231 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgcr when four letters picked without replacement from crrccgc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (374\/10285)\/(2\/10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5943475 and 310?\nAnswer: 11886950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - f + 1)*(f + 0 + 0) - 2 - 2*f**2 + 2 + 18*f - 18*f - 8*f**2 - 952*f + 952*f - 70*f**2 + (6 - 3 - 2)*(f**2 - 1 + 1).\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -847dd (base 15) to base 13.\nAnswer: -1193b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(576)*-1 + sqrt(576))\/sqrt(12) + 3)**2 + ((sqrt(132)\/sqrt(4)*-6)\/(sqrt(132)\/(sqrt(48)\/sqrt(4))) + -1)**2.\nAnswer: 12*sqrt(3) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = g + 3*g. Suppose 0 = 2*i - 2*o - 86, 0 = 3*o - 3 + 6. Let d = i + -42. Solve -3*l = -d*b - 4*b + 27, -2*b - g*l - 4 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 2, -3 in descending order.\nAnswer: 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 684980*o**6*z**2 - 534*o**2*z**2 - 156*o**2*z wrt o.\nAnswer: 82197600*o**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10307 or -9727?\nAnswer: -9727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 7:43 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -125802514, -125802518, -125802524, -125802532, -125802542, -125802554, -125802568?\n\"Answer: -l**2 - l - 125802512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -50*u + 281. Let d(i) = -33*i + 187. Let x(p) = 7*d(p) - 5*s(p). Is x(11) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) - sqrt(12)\/sqrt(4)) - (sqrt(300) + sqrt(300) + -1) - (-5 + (-2*sqrt(6)\/sqrt(2) - sqrt(36)\/sqrt(108))**2).\nAnswer: -20*sqrt(3) - 19\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*1\/36 - (-14)\/(-28). Does m = 1.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21135794 by -10567897.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39144 is divided by 167.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*9\/9)\/((-3)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 3)*(1 + 6 + 10)*(3*m**2 + m**2 + 3*m**2).\nAnswer: -833*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + -1.1. Let v = 3841 - 26883\/7. Which is the fourth smallest value? (a) v (b) -2 (c) n (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -305, 5, -8.08, -0.2, -6 in increasing order.\nAnswer: -305, -8.08, -6, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*a - 16 - 4 = 0, 10 = -5*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyywyyyyywywy.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + k + 6*k - 4*k. Let s(b) = -8*b**2 + 3*b**2 + 2*b**2. Calculate x(s(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 5*l**2 + 3. Let y be f(5). Find the second derivative of -5*r**3 - 9*r + 5*r**4 - 4*r**4 + 5*r**y wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 take away 249312.8?\nAnswer: -249213.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 17 (c) 0.106 (d) 1\/87 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 60*v**3 + 180*v**2 - 160*v.\nAnswer: 5*v*(v - 8)*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-9))\/((-8)\/12). Which is the nearest to -1? (a) 0.6 (b) v (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 10*a + 6. Calculate x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 4*c - 1068. Sort -4, c, 1, 3, 5 in increasing order.\nAnswer: c, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-25*n - 6*n + 2*n)*(n**3 - n + n).\nAnswer: -29*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 2*d + 2. Suppose 4 = 2*y - 4*y. Let a be j(y). Is 2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m + 1335. Calculate j(-74).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) - sqrt(495)*3)\/sqrt(5).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592918202 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: Let k(s) be the first derivative of -s**3\/6 - 55*s + 25. Let r(v) be the first derivative of k(v). Let x(o) = 6*o. Calculate -18*r(a) - 2*x(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d. Let t(f) be the first derivative of -105*f**2 + 2313. Give o(t(l)).\nAnswer: -840*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.294586 rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - ((2 - 0) + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -59, 10710, 7 in ascending order.\nAnswer: -59, -3, 7, 10710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -327.8 - -301. Let s = 26.631 + n. Round s to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12049 - 12049.3. What is the nearest to -1 in 0.2, u, 1.24?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/17 + -1 - 9768\/(-204). Solve -42*u = -26*u + w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 7*v - 1. Let o be f(6). Suppose -o*y + 34 + 6 = 0. Find u, given that 2*u + 2*u**2 - y*u - 4*u**2 + 2*u = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 2256, 6 in ascending order.\nAnswer: -7, 4, 6, 2256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 120 + 51)*(0*k - 4*k + k) + k + 2*k - k + (7*k - 13*k - 13*k)*(4 + 3 - 5).\nAnswer: -492*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 0*b + 54\/11*b**3 + 0 + 2\/11*b**4 + 100\/11*b**2 = 0.\nAnswer: -25, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80133*k**3 - 86529*k?\nAnswer: 480798*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132265.\nAnswer: 3, 5, 142151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7154 in 1\/10, -0.2, 132\/7, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2061 times -1\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/264397158 and -67\/171080514?\nAnswer: 2908368738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5867 + 6218. Let d = l - 6045. What is d rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**3 - f**2 + f + 3. Is 36 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*m + 69, y + 5*m - 61 = 43. List the prime factors of y.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -328 - -580. Solve 20*f + k = -22*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101010122 - -12?\nAnswer: 20101010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y + 27. Let j be a(13). Let c = j - -93. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 186834433?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, g: 4}. Give prob of sequence mgm.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -70*m - 6. Let d be j(-6). Calculate the common denominator of -2*1 - ((-585)\/d - 2) and -85\/26.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 - -0.1. Let o = 0.03 + j. Are o and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2\/7 + 156*l\/7 + 992\/7 = 0?\nAnswer: -31, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 + 162*o - 11. Give i(-27).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -379*p + 5366. What is q(14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2359595.\nAnswer: 5, 7, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-6\/11)*o)**(-1\/10)*((o**2\/o)\/o)\/((o**(2\/13)*o)\/o*o) assuming o is positive.\nAnswer: o**(-929\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9738146578 minus 0.5?\nAnswer: -9.4738146578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -f - 5*v, 0*f - 3*v - 15 = -3*f. What is the units digit of 693\/28 + 2\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/4*(-48)\/(-180). Solve -l*s - 3*s + 5 = -4*p, -3*p + s - 12 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 492.1 to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -112932508371610 take away -4?\nAnswer: -112932508371606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 24*y + 294. Let u be g(-7). Calculate the greatest common factor of u and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 0 - (-18)\/3. Suppose -2*q + a = -2*l, 2*q + l = -q + 18. Solve 4*g + 13 = q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 5) + -3 + (41 - (19 - -14)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(900))\/((sqrt(3) - -2*sqrt(3))*-2))**2 + (-2 + (sqrt(432) + -1)*-2)**2.\nAnswer: 5209\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (1 + -19) - (-7 - 1) - -20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132175366\/24045 - -5497. Let z = 1001863\/288540 - f. What is the common denominator of 12 - (1 + (-3)\/4) and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/22 + 5928\/66 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(16\/(-13152)) + 1. Let g = -407 + t. Solve l - 3*y - 23 + 6 = 0, g*y + 27 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 + 1 - 1 + (-2 + 3 - 3)*(0*x**5 + 4*x**5 - 2*x**5) + 2*x**3 - x**5 - 2*x**3.\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 9*q - 15. Determine r(5).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6*3)\/(-2). Let v be (-2 + -2 - 1) + z. Let w = 2 - v. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 1. Let g(k) = 322*k - 5. Give g(f) - 5*q(f).\nAnswer: 337*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2 - 6\/(-3)). Let l = 3 + d. Determine f, given that f**2 - 3 - 3 + 5 - l*f + 3*f**3 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -422 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**2 + 0*u - 1\/12*u**4 + 0 + 0*u**3. Let x(r) = -3*r. Give x(d(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:43 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10354361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1393*t**2 - t - 8. What are the prime factors of n(-3)?\nAnswer: 2, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (8 - 3 - 8) - -1) + -30 + -6?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 0)\/(-3)*-2. Let y be p + (-3)\/(-4 - -3). Let g = 4 + y. Let l(b) = -2*b + 6. Give l(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 19*n**5 + 5040*n**4 - 24*n**3 - 2455*n**4 - 112*n**2 - 2481*n**4 - 17*n**5 + 60*n = 0 for n.\nAnswer: -1, -1\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7 + 13 - l.\nAnswer: -l + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - 35 - (-4 + 24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2828774*l**2. Let p(b) = -8*b. Determine t(p(k)).\nAnswer: 181041536*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3731 or -2?\nAnswer: 3731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/3 - 188*b**4 - 20062*b**3\/3 - 3864*b**2 + 286136*b\/3 + 155744 = 0. What is b?\nAnswer: -31, -3, -2, 4, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37673 - 20024. What are the prime factors of w?\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3))\/d**(-34)*(d\/((d*d**15\/d*d*d)\/d))**(-12\/5))**29 assuming d is positive.\nAnswer: d**1972","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -74340.545 rounded to the nearest 100?\nAnswer: -74300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 619*o - 69*o - 131 + 130 as w + s*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from txtgftglxttgfggft.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y + 0*y)*(2554*y - 4037*y - 1267*y - 2080*y - 5082*y).\nAnswer: -19824*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 + (7 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 380*n**3 - 406*n**3 + 0*n.\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + 0*g**2 - 56 - 4*g**2 + 0*g**2.\nAnswer: -g**2 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18490 is divided by 9206.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 16*s**2 + 46*s - 177. Let a be k(18). Let u = 8 + -6. Solve a*w + u*c - 2 = -0*c, 4*w - 2*c = -16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**(-2\/7)*f**(1\/13)\/(f*(f**8\/f)\/f)*((f*f\/(f*f**(1\/5)*f))\/f**(1\/15))\/((f*f*f*f\/(f*(f**(-3\/5)*f*f)\/f))\/f**(2\/29)) assuming f is positive.\nAnswer: f**(-388567\/39585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -16*t - 19. Let g(p) = -46*p - 56. What is 4*g(n) - 11*k(n)?\nAnswer: -8*n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8615 and 588950.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**2 + 12*r**2 - 5*r**2 + 2*r**2 - 2*r**2. Let g(z) = 6599*z**2. Calculate n(g(p)).\nAnswer: 87093602*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -552863729 + 552863192.999731. Let w = -536 - h. Round w to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1227125 (c) 18 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 7*c. Solve -r - 4 = -c*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128\/29 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001599989 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 197*c**3\/6 - 258*c**2 - 474*c. What is the derivative of f(o) wrt o?\nAnswer: 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4309\/(-1668))\/31 + 3*((-3495)\/(-108) + -1)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**4 + 7*d**3 + 3*d**2 - 9*d - 6. Let k(h) = 3*h**4 + 6*h**3 + 3*h**2 - 9*h - 6. Let v(m) = -2*k(m) + 3*z(m). Factor v(a).\nAnswer: 3*(a - 1)*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 - -1.6. Let v = -79445\/2 - -39722. What is the biggest value in h, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.4925737566 + 0.4?\nAnswer: -14.0925737566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 22 - 35\/(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4448*m - 119*m**3 - 4448*m.\nAnswer: -119*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) - (-1)\/3. Is p != -1\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2431 + 3146. What is the remainder when k is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {q: 4, d: 3, a: 2, g: 1, o: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(-2*u**3 - 6*u + 42 + 10*u - 2*u) - 2*u**2 - 2*u**3 + 2*u**2.\nAnswer: -10*u**3 + 8*u + 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {n: 1, j: 2, d: 1, f: 1, v: 1, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 34*x**2 + 78*x - 594.\nAnswer: 2*(x - 3)*(x + 9)*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 7*t. Let k(c) = -c**3 - 4*c**2 + 7*c. Let z(n) = -3*k(n) - 4*l(n). Find the second derivative of z(y) wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)\/(l*l**(-3)))**(-46) assuming l is positive.\nAnswer: l**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 1.2. Suppose 23 = 5*b + 2*w, 2*b - w + 3 - 14 = 0. What is the closest to j in 0, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 15 + 31. Solve z + 11 = -5*i - 17, 2*i - s*z - 2 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + -10)*6\/(-2). Suppose k*l - 6 = 10*l. Suppose -12*w**2 + 35*w**4 - l*w + w**3 - 23*w**4 + 2*w**3 = 0. What is w?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 94a + 1761?\nAnswer: 21ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*s - 14 + 39, 3*q = s - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -32540135?\nAnswer: -32540145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6 = -y, 0 = -2*y - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 - 14*t - 6. Let f = -8 + 16. Let y be m(f). Let s = -5 - -9. Solve 17 = 3*i + 4*v, v + s*v = y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -1\/124?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-672)\/122640*(14\/2)\/(63\/90)?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.55 - -9.957. Let q = -0.093 - s. Which is the biggest value? (a) 3 (b) 2\/57 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230297925?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 4:24 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 8*g + 3. Let u be k(-9). Let y be (-19)\/4 + 9\/u. Which is the nearest to 0.1? (a) 4 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217\/4 + -55. Let v be (2\/6)\/(2\/(-42)). Let l = 6 + v. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 8*l - 3. Suppose -2*k = -4*o + 88, k + 80 = l*o + 3*k. Suppose -86*w + 83*w = -o. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*j - 3*g - 76, -5*j = g - 68. Suppose j = -2*w + 52. Calculate the greatest common divisor of w and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 36. Let w(y) be the third derivative of y**o + 0 + 1\/60*y**6 + 0*y + 1\/4*y**4 - 1\/3*y**3 - 1\/10*y**5. Let w(v) = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/25*(1 + -3). Suppose -10*a + 13*a = 6. Let u be -4*a*(-1)\/2. What is the nearest to -0.1 in h, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t - 11*t - 9. Suppose p = t*h + 2*p - 3, h - 3*p = -9. Suppose q + y + 37 = 3*q, 3*q - 2*y - 54 = h. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1617) + sqrt(1617))\/(sqrt(99)\/(-2*sqrt(9))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60834183889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 + (-1 + 3)*4\/(16\/1292) is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.7 - 0.3. Let m = 5.0503 + -0.0743. Let y = 0.024 + m. What is the third biggest value in y, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*p - 388*p + 180*p**3 + 1620*p - 382*p - 462*p.\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 352 = -43*o, 138 = 3*o + 1168*y - 1163*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1047 + -885. What is the remainder when i is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3250 + -0.2\nAnswer: 3249.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -139 - 37 + 57 + 18*d. Calculate x(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 43 (b) 3 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let b(u) = -8*u**2 - 18*u + 4. What is b(a(p))?\nAnswer: -8*p**2 - 18*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 2*r = -11*p + 11600, p = -3*r + 2886. Is p a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4 - 262*n**3 + 9206*n**2 - 40698*n + 31752 = 0.\nAnswer: 1, 4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*j = -21, -708*c + 7*j + 32 = -710*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -709 >= -710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1012, -1012, -912, -664, -220, 468?\n\"Answer: 8*k**3 + 2*k**2 - 62*k - 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/36 - d**3\/9 + d**2\/6 - 22*d - 2. Determine h so that x(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 8*y**2 - 8*y - 10. Let w be h(-7). Which is the nearest to -1? (a) 4 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 44*r**2 + 2*r - 42. Let s = 76 - 52. What is the remainder when u(44) is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 33 + 67. Differentiate w**2 + 37 - t*w**3 + w - w**2 - 70 with respect to w.\nAnswer: -30*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13186648 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 1. Let v(f) = -2*f + 1. Let g = 72 - 78. Calculate g*u(x) - 2*v(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/109920 and 47\/480900.\nAnswer: 3847200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*k**2 + 67*k**2 - 112*k**2.\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/15)\/((-3)\/(-15)). Suppose -6 - 9 = -3*b, 2*n - 3*b = -5. What is the second derivative of -h*j + 4*j - j**5 - j**n wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nggozfcoc. Give prob of picking 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 2*q + q)*(163*q**2 + 130*q**2 - 113*q**2) - 3*q**3 - q**3 + 6*q**3.\nAnswer: -538*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3219, 6441, 9663, 12885, 16107, 19329?\n\"Answer: 3222*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-33)\/(-18)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7011?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -5143?\nAnswer: -5143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c**2 + c - 55. Let i be b(0). Suppose 4*s + 5 = -7. Calculate the smallest common multiple of s\/(-2) - i\/10 and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96781 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -17\/296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*n + 38 = -50, -5*n = -10. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.4 (c) 4 (d) -0.1 (e) 0.5253\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103458.\nAnswer: 2, 3, 43, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103799 and 24?\nAnswer: 2491176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 13\/(39\/(-48)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/61 and 23\/6344.\nAnswer: 6344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 + 166 + 8*b**3 - 59 - 26 to the form d*b + h*b**3 + q + v*b**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -145)\/((-10)\/(-22)). Let w = a + 187922\/585. Let i = -2059\/234 - w. What is the common denominator of 41\/11 and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4063.9 rounded to the nearest 10?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/5 - -2*2 - -3. Is ((-57)\/o)\/((-11)\/44) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -13. Suppose -2*a - 1 = -d. Suppose -2*j = -j - a. Solve 0*p = -p - 3, j*g + p = -9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407575 (base 8) in base 5?\nAnswer: 414123101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - i + 11 = 4*i, -4*i + 17 = 5*h. Let r(d) = 95*d**3 + d**2 - 4*d + 4. What is the units digit of r(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3)\/((-1)\/(-22)). Let i = 43\/2 - q. Suppose 2*l + 2 = 2*t, -5*t = -4*t + 2*l - 10. Put i, -0.3, t in descending order.\nAnswer: t, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21857757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 18*u - 1007. Solve 3*r + 3*a + u = 50, -11 = 3*r + 4*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*((sqrt(50)\/(sqrt(10)\/sqrt(2))*-3)\/(sqrt(22)\/(sqrt(99)\/sqrt(36))))**2.\nAnswer: -405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 5*f**2 + 5*f**2. Let h(u) be the third derivative of -u**6\/120 + u**3\/6 - u**2. Let b(m) be the first derivative of h(m). What is t(b(s))?\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6 + (-1 + 1 + 2)*(-2 - 2 + 6) - 1 + 3 + 0)*(-2 + 5*m**2 + 2)*(-2*m + 0*m + 3*m).\nAnswer: 35*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d - 5*d + 40*d**3 - 3*d**4 - 20 + 14*d**3 - 14*d**3 with respect to d.\nAnswer: -12*d**3 + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 10. Let s(n) = n**3 - n**2 - 2*n - 2. Let a be s(-2). Let m be g(a). Suppose 4*j - v = -m*v + 40, -v + 59 = 5*j. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 74 - (124 - 174)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/738)\/(2100\/840)?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23322 + -45078. Let h = -10237 - c. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 3\/8, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3432446073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2212*s + 8*s**2 + 12*s**2 - 2212*s - 2*s**2.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 - 1 + 1 - 77*t to y + w*t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 y, and 1 k when four letters picked without replacement from {y: 10, e: 2, k: 3}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42025\/7 - -6003. Let u = -4 + 2. What is the closest to a in 1\/2, u, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/4 + 2023*j\/2 + 178511\/4.\nAnswer: (j + 1303)*(3*j + 137)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 + 3*i. Let v(z) = 11*z**2 - 5*z. What is -3*v(a) - 5*x(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/1*(-12)\/(-24). Let g(y) be the first derivative of -3*y**2 - 8*y - 4. Is g(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 13 = 4*m, -5*y + 14 = -m. Let r(t) = 0*t**3 + t**3 - 1 + 0*t**3 - 3*t**2 - 2*t. What is r(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 - 1924*q**3 + 39720*q**2 - 186076*q - 227722 = 0.\nAnswer: -1, 11, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 161.83?\nAnswer: 64.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*u - 111*u - 97*u + 6484888 = 0. What are the prime factors of u?\nAnswer: 41, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 - 84. Calculate the highest common divisor of 154 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -22. Let z = 25 + v. Solve 0 = z*u - 3*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*24 + (-28)\/(-7). Suppose 0 = -4*a - 268 + o. Is (5\/(-6))\/5 + (-5110)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112100273 to the power of 1\/3, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3\/2, 4, 2\/13, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, q: 1, o: 3, s: 3, k: 1}. Give prob of picking 1 k, 1 o, and 1 x.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10025, 2, -5, -1 in decreasing order.\nAnswer: 2, -1, -5, -10025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide (168232\/204)\/(2\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3 + 2350*b**2 - 277865*b + 1831620 = 0. What is b?\nAnswer: 7, 196, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -486*u**4 + 4429*u**2 - 124*u + 9858 wrt u?\nAnswer: -5832*u**2 + 8858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*s + 4*s - 6*s)*(-537 - 714 + 643)*(2 - 2 - 1).\nAnswer: 2432*s + 1216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0 - 3. Let j(l) = -l + 2*l + 38*l**3 - 2*l**2 - 33*l**3. List the prime factors of j(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 8:12 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 131, 3\/5, -102, 1?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6116401799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 88, 159, 268, 421, 624?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-64)*-2)\/((-5)\/20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**1*w*w)\/w**(-6))\/(w**(1\/5)*((w\/(w\/(w*(w\/(w\/w**(-5)))\/w*w)))\/w)\/w))\/(w**(-2)*w**5)**(-3\/4) assuming w is positive.\nAnswer: w**(381\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/423, 0.5, -13, 1\/5, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (120\/16 - (5 + -10))*2. Solve 0 = 12*j + s - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -478698*s + 239501*s + 61 + 239405*s to the form a*s + z and give z.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0 + 0*d**2 + 1\/3*d**4 - 18*d + 0*d**3. Let s(i) = 20*i**2. Determine s(j(x)).\nAnswer: 320*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/20*5\/(-2). Solve -3 - 1 = -c*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 31*y**2 + 141*y - 3. Let r be q(-8). Is 341 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 116\/(-36) - -3 - (-20)\/9. Suppose -4*x + 3*f + 151 = 0, 3*x - 34 = -u*f + 58. Let j be (-5)\/(25\/(-3)) - x\/(-10). Solve -21 = -j*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s - 21. Let i(m) be the first derivative of -9*m**2\/2 + 31*m + 577. What is -5*i(z) - 7*u(z)?\nAnswer: 3*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/5))**39*(i*i**(4\/5)\/i)**(-11))**(2\/47) assuming i is positive.\nAnswer: i**(-2\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*c - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -31, -95, -185, -301, -443, -611?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9410539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 18. Suppose 0 = -4*x + 23 + 9. Let v = x + s. Solve 5*g + 45 = 5*f, 14 + v = f - 5*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 7901 - 7850 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3982 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -807.99 rounded to the nearest ten?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 11, -4, -1, 7\/5, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 556675453 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyyekyyyyceehuy. Give prob of sequence eky.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46216, -93410, -140590, -187750, -234884, -281986?\n\"Answer: i**3 + i**2 - 47204*i + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 4787 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - 4*q**4 - 2*q**5 + (161*q**4 - 305*q**4 + 146*q**4 - 52*q**3)*(-q - 2*q + 5*q) + (0*q**2 + 0*q**2 + 3*q**3)*(-3*q**2 + 3*q**2 - 7*q**2).\nAnswer: -19*q**5 - 104*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142890344*q**4 + 130830816*q wrt q?\nAnswer: 1714684128*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9402 + 9402. Let s(n) be the second derivative of -2*n + f - 1\/10*n**6 - 1\/4*n**4 + 0*n**3 + 0*n**2 + 3\/10*n**5. Factor s(b).\nAnswer: -3*b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**2 - 213*h - 380. What is q(-28)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*w + 2*q - 7*q, -5*q = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 8. Let z(x) = -1. Let u(p) = r(p) + 4*z(p). Let l be u(7). Suppose 4*j + l = 31. Let t(y) = 2*y + 5. What is t(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -555 - 1?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/25326 and 47\/50511.\nAnswer: 426413862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -80b - 4?\nAnswer: -80f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/373 - -60779\/1492. Let i = h - 40. Let p be (-38)\/(-8) - (-2)\/8. Which is the second biggest value? (a) p (b) i (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 427, 428, 427, 424?\n\"Answer: -y**2 + 4*y + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29855*r**3 - 364 - 29855*r**3 + 8*r**4 + 5*r**4 - 19*r wrt r.\nAnswer: 52*r**3 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 125 + -4?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 3:45 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9490\/25 - 3\/5. Suppose b = 4*g - u + 2*u, 0 = -4*u - 20. Let p = 111 + -99. What is the greatest common factor of p and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = 211 - 193 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 696 and 12361192?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 9258 - 2664 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3\/2, -1.03552, -2 in increasing order.\nAnswer: -2, -3\/2, -1.03552, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/84)\/((-5)\/(-10))*36\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6948\/32 + 3\/(-24) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 238262763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*c + c - 21, -18 = 2*j + 4*c. Let n be -4 + -3 - j - -56. Suppose 0 = 2*t - n - 10. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93698.63 minutes in milliseconds?\nAnswer: 5621917800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-5 - (1 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let t be o + 2\/(-1) - -56. Suppose 6*h = 3*h + 18. What is the highest common factor of h and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167 - -33. Suppose -28*l = -8*l + c. Let j(r) = -r**2 - 2. Let x be j(3). Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**(-2\/3)*n))\/n)\/n*n)\/(n*n**21*n*n))\/((n\/((n**(-5\/7)*n*n)\/n))\/(n**(1\/15)*n)) assuming n is positive.\nAnswer: n**(-2518\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -7) + (54 - 61 - (3 - 2 - 10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 87 = 3. Calculate the remainder when g is divided by ((6 - 27)\/(-3))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 3*d - 2. Let g = 8 + -2. Let k be o(g). Let b = -7 - -11. Solve -b*s - k = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1353 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 8 = -4*b, -113 + 92 = -3*r - 2*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -29*j + 39 + 6*j - 44 + 4*j. Let q(b) = -189*b - 49. What is 49*i(d) - 5*q(d)?\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*g - 7. Suppose g*q + 2*u = 10, -q + u = -0 + 5. Suppose -n = n - 4. Solve q = -2*h + n - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w + 12. Let k be l(3). Calculate the highest common divisor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 - 9718419?\nAnswer: -9718189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-2)\/2)\/1. Let h(s) = 2*s. Let t = 16 + -13. Let k be h(t). Solve a = k*d - d - 5*o - 5, 0 = -d - o + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -3. Let p(m) be the second derivative of -m**5\/20 + 5*m**4\/12 - m**3\/6 + 5*m**2\/2 + 74*m + 25. Calculate p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 3*f + 2. Let x be s(-4). Let u be (-2 + (x - -3))*-1. Solve -4*r + u = -7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25508592.9ns in days?\nAnswer: 0.00000029523834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w + 1. Let z = 3 - 4. Let q be m(z). What is the tens digit of (q\/3)\/((-2)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7376*m**3 + 6*m**2 - 11*m + 190. Let z(r) = -2459*r**3 + 2*r**2 - 4*r + 69. Determine -4*u(x) + 11*z(x).\nAnswer: 2455*x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.5. Let v(g) = 10*g - 111. Let k be v(11). Which is the nearest to k? (a) r (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, 5, 46.67 in decreasing order.\nAnswer: 46.67, 5, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166078 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 21 + 48. Suppose -3*i = -5*i. Let n = i - -8. Calculate the remainder when z is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156.78 - -150. Let f = m + -1.12. Let z = f - -8. Which is greater: -41 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4900)\/600*(-60)\/21)\/(4\/(12\/15))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/206128 and -36\/247.\nAnswer: 3916432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1779\nAnswer: 177.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2019 + -2062. Which is greater: -1\/4 or i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -1\/120*d**6 - 2*d**2 + 13\/24*d**4 + 11\/60*d**5 + 0*d - 76 - 5\/2*d**3. Determine i(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -44769418.\nAnswer: -44769417.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 164*m**3 - 2*m**2 + 25*m**5 + 25*m**4 - 92*m - 154*m**3 + 4*m**2. Factor d(v).\nAnswer: 4*(5*v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*d + 127, 2*q = 3*d - q - 78. Suppose -2*w - 12 = -3*y, d = 4*y + 2*w - 7*w. Let k = y - 25. What is k rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/70)\/((-4)\/(-10)). What is the nearest to -1\/6 in -5, t, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 175248*b + 1226687.\nAnswer: (b + 7)*(b + 175241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1728403138 divided by -2?\nAnswer: 864201569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -14. Suppose -7*u - 90 = -5*u. What is the smallest common multiple of u\/(-18) + (-38)\/(-4) and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7382 + -44179\/6. Calculate the common denominator of u and 40\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*p + p = 0, 2*f + 60 = -11*f + 8*f + 7*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99\/7? (a) 0 (b) 1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2100 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.29394611 and -0.295499.\nAnswer: 2.99844711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -83782089 rounded to the nearest one million?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 111002100?\nAnswer: 111002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x - 89. Let g = x + 96. Suppose 2*h + 1055 = g*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(77)\/sqrt(99).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 360.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4085\/2 + 2003. Suppose -2*v + 5*u + 75 = 6, -49 = -2*v + u. Suppose 0*s = 2*s + v. Find the common denominator of x and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/8 - 353*k**2\/4 + 2845*k\/8 + 1775\/4 = 0. What is k?\nAnswer: -710, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (39 - 20)\/(-38)*81\/(-6). Factor -z - 9\/2*q - 3\/4*q**2.\nAnswer: -3*(q + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*((c\/(c*c*c**(-12)*c*c*c))\/c)\/c*c*c*c**(-19)*c*c**(2\/9)\/c**(8\/3) assuming c is positive.\nAnswer: c**(-94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2248756324 to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 83 + -78 + (-1 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15152*f - 169*f**2 - 15152*f - 2445*f**2 as x*f + y + r*f**2 and give r.\nAnswer: -2614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2) + (-15)\/(-2 - -1). Let m be (t\/4)\/(0 + 1). Solve -m*c + 6 = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-40))\/((-4)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 248759, 248851, 248997, 249197, 249451, 249759, 250121?\n\"Answer: 27*f**2 + 11*f + 248721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 + 53 = 3*y. Suppose y = 5*p - p. Let v be (-8)\/(-10)*p\/1. Solve 0*c - v = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*1*5) + sqrt(102) - (sqrt(102) + sqrt(102) + sqrt(102)*1)*6)\/(-2*(sqrt(486) + sqrt(486) + sqrt(486)*-1 + sqrt(54)*6)) + -5.\nAnswer: -5 + 7*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*x = -16, 2*k + 5*x = 6 - 0. Let i be (k\/(-1) - 4)\/5. Which is the third biggest value? (a) -3 (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 259*p**2 + 268*p + 2574. Calculate z(-258).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -42766?\nAnswer: -42771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -19*r**3 + r**2 - 1. Let n be (-2)\/(-4)*(0 + 2). Let i be p(n). Let a = i - -32. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1034 (base 5) to base 4\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/72 + 137\/504. Sort m, -15, 2.\nAnswer: -15, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/4 + 4*n - 9 = 0. Calculate n.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1696, -1672, -1648, -1624, -1600, -1576?\n\"Answer: 24*n - 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**16\/f*f)\/(f*f\/(f*f**12\/f*f*f)*f))\/(f\/(f**(-3)*f)*f)**(-13))**(-10\/3) assuming f is positive.\nAnswer: f**(-790\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 27*l**2 + 13*l + 6. Let q be v(13). Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -28) + -26 + (10 + 63 - 3).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - j + 9*j + 4. Is c(6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five sevenths of a week?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/23))\/(j*j*j**0*j))**(4\/21) assuming j is positive.\nAnswer: j**(-64\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 270407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*h + 1 + 29, 3*h - t - 17 = 0. Suppose -u = -3*u + h. Suppose -1\/2 + 2*s + s**u - 4*s**3 + 2*s**5 - 1\/2*s**4 = 0. What is s?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 441 - 401. Suppose 5*i + 3150 = l*i. What is the least common multiple of 18 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-45)\/(-1650)*8\/6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 244310961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002909008888 rounded to five decimal places?\nAnswer: 0.00291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from {f: 4, o: 8, b: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:04 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(875) + sqrt(875))\/(sqrt(7)*-2*1 + sqrt(343) + 2*sqrt(343)))**2.\nAnswer: 6125\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1522 - 2638. Let k = -1633 - v. Let r = -354 - k. What are the prime factors of r?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629*p**3 - 2*p - 223*p**3 - 866 + 864.\nAnswer: -852*p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100443999 to the nearest integer?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -192*m - 20. Let d(w) = 115*w + 12. Let u(y) = 5*d(y) + 3*j(y). Let t(a) be the first derivative of 0*a**2 + 0*a + 1 - 7\/3*a**3. Give t(u(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1963 = -2*d + 1837. Round d to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**7\/315 - f**6\/30 - 13*f**5\/90 - f**4\/3 - 4*f**3\/9 - 11*f**2 + 20. Let o(g) be the second derivative of y(g). Factor o(j).\nAnswer: -2*(j + 1)**2*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g + 18 = -m, -18 = -m - 4*g. Which is greater: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - h**2 - 4*h - 1. Let d(v) = -4*v**3 - v**2 - 5*v. Let k(s) = 3*c(s) - 2*d(s). Let n = 125 - 127. Determine k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11817229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + (sqrt(3) - (2 + sqrt(3))))*-4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 9*v = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*w - 2*u - 30, -5*w + 109 = -3*u. Let n = 29 - w. Calculate the greatest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1dabb (base 16) to base 5\nAnswer: 12342111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 5*j**2 - 7*j - 4. Let h be -4*13\/((-104)\/(-6)). Let a be z(h). Which is greater: -2\/1151 or a?\nAnswer: -2\/1151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-1\/10))\/((f\/f**(-11\/2))\/f))\/(f*f**(1\/11)*f*f)**(-3) assuming f is positive.\nAnswer: f**(323\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 minus -2520.9?\nAnswer: 2869.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*w**2 + 109*d**2*w**3 - 824*d*w**3 wrt d.\nAnswer: 12*d*w**2 + 218*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-110) - (-162)\/(-33). Calculate the remainder when 1266\/(-10)*u - -4 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4 + 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**10*f)**34)**(-8\/15))**(1\/10) assuming f is positive.\nAnswer: f**(-1496\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4) - 3\/(-2). Suppose v*c - 9 = -2*d, 6*c = 2*c - d + 12. Solve c*n + 1 + 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 - 121792*l - 221540860 = 0.\nAnswer: -28505, -1943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -9*f**6\/10 - 6*f**5\/25 + 27*f**4\/20 + 2*f**3\/5 - 206. Solve a(g) = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 1. Let t be f(1). Let w = 0.8 + -0.73. Let v = -0.23 - w. Which is the nearest to -1\/4? (a) v (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42635022, -85270048, -127905074, -170540100, -213175126?\nAnswer: -255810152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Let k = -0.014 + 0.864. Let p = -0.45 + k. What is the second biggest value in v, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 581106535*f*r - 493532185*f wrt r.\nAnswer: 581106535*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 0) + (-1)\/(-1). Suppose -2*z + m = -13. Is ((-174)\/z)\/(-3)*20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 - 136. Suppose -g*a + 6*a - 32 = 4*x, 0 = 5*x - 3*a + 34. Let n(v) be the third derivative of -v**5\/60 - v**4\/4 - v**3\/6 + 2*v**2. Determine n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 113*d = -109*d - 12, 2*s - 18 = -2*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 - 4*d - 3. Let w be z(5). Suppose -5*s = -2*o - 46, o + w*o + 86 = -s. What is the common denominator of -83\/10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(5 + 103\/(-2) + 18).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592607 is divided by 118511?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 817.81 - 820. Which is smaller: -4\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 1 = -b. Let s(r) = -r**2 + 7*r - 2. Calculate the smallest common multiple of (3 - b)\/(-2) - -9 and s(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2. Let i be 3\/6 + (-12)\/(-8). Let d(c) = 0*c**2 - 6*c**2 + 5*c**2 - i*c**2. Calculate d(f(p)).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200470770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 87 + 42 + 353621*j.\nAnswer: 353621*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -0.2 (c) 0.2 (d) -1 (e) -2.4 (f) 32\/13 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*r + 90. Let l = -30 + r. Let h(z) = z**2 + z - 2. Determine h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42503555 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4611759 or 4611870?\nAnswer: 4611759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71205328795\/3349 - -21261669. Let x = b - -6\/197. Is x greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 7 + -20 + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idii when four letters picked without replacement from {h: 8, d: 1, i: 5, b: 4}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*x + 15 = 0, -3*x + 7 = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -444 + 4?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 greater than -258839\/3582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021059 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119315 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 288, 416?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/24 - 9*m**2. Suppose 0 = -31*t + 25*t + 18. What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40896 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 + -311. Let l = 153 + f. What is the smallest value in 0.12, 2, l, 0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 - -222. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1627*t + 32543. Determine n(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -44\/2889 (c) -1515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooosoooooo. What is prob of picking 2 o?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucj when three letters picked without replacement from hjuuc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6034 divide 240984883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5335899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w - 2*x - 2, 2*x = 2. Suppose 0*r + w = r. Suppose -5*j = -10*j + 25. Solve 5*k = -c - 10, k - j*c + r = 27 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 - 4209*n**3 + 1490958*n**2 - 10273164*n + 14616120 = 0. What is n?\nAnswer: 2, 5, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 446054 + -247203. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*j - 4*y, -3*y = -3*j - 6*y + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.3598.\nAnswer: -0.2598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:38 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10102 - -40244?\nAnswer: 30142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k + 79*k - k**2 + 0*k**2 - 2*k)*(-11 - 3*k + 11).\nAnswer: 3*k**3 - 198*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35531, 35565, 35599, 35633, 35667, 35701?\nAnswer: 35735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17005 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/11 + (29 - 0). Let w be -1*a\/20*(-16)\/(-6). Let i = -3454 - -27597\/8. Is i at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 367*b - 3307 - 39999. Suppose -3*i + i - 2*k + 18 = 0, 5*k + 51 = 3*i. Calculate the lowest common multiple of b and i.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilpilpil. Give prob of picking 1 i and 1 l.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h + 0*h - 2*h)*(4 - 6 + 0) + 0*h - 3*h + 5*h)*(54*h - 138*h - 58*h) + 6 - 4*h**2 - 6.\nAnswer: -856*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Suppose -v - 5 = 2*p - 4*p, -5*v - 4*p + 31 = 0. Suppose y*r + 359 = v*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 775808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 8. Let l be f(-10). Suppose -3*y = -o + 12, -2*o = 2*y - 0*y - l. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 14 + 10 = 3*s, 3*g - 32 = -4*s. Suppose 2*m - 151 = -147. Solve 0*y - 8 = -4*y + 2*t, m*t = y - s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 2*m - 9. Suppose 16 + 36 = -5*b + 3*g, 8 = 2*g. Let f be k(b). Suppose -f - 39 = -2*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/96 and -19\/6515536.\nAnswer: 39093216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1542 - 453. Suppose -2*m + g = -843. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5 = f, 5*f + 17 = 4*i + 8*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 12316*z - 6249*z - 6035*z + 9)*(-z**3 + 0*z + 0*z).\nAnswer: z**5 - 32*z**4 - 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 g when four letters picked without replacement from {g: 2, f: 17}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98993.585 rounded to the nearest one hundred?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87312 divided by 107?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -15797 + 7901 + 13*z + 7901. Let c(n) = -n. Calculate c(r(v)).\nAnswer: -13*v - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*i + 29071 = -336*i - 7448 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 6 + 6.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -65*t + 69*t - 23, -3 = -3*c for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542911 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.167 - 0.286\nAnswer: -0.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 429 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 133140 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 2*c**2 + 4*c - 2. What is o(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -2 (c) -5 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7\/65 (b) 15 (c) -1\/6 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 112*y + 370. Let c be j(59). Solve 4*u - 2*d = 14, 16*d - c = -2*u + 20*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, k: 3, l: 3, n: 1}. Give prob of picking 1 n, 1 v, and 2 k.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129 + 131. Solve h - 6 = -3*x, 0*h + 3*h = -y*x + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g + 92*g + 83*g - 12*g to t + u*g and give u.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010011000101000001 + 1000?\nAnswer: 10001010011000101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 424 and 36.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 320891 and 320819 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d - 1. Let t be o(-5). Let f = 12 - t. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1310071*t**4 - 155117*t**2 wrt t?\nAnswer: -31441704*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 9*l - 9. Suppose -l*b + 4*b = 0. Suppose 31 = 5*g + 2*z, -2*z - 4 = -2*g - 0*g. Solve 5*j - 3*x - 17 = b, -g*j + 2*x - 3*x + 21 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*y**3 + 124*y**3 - 266*y**3 - 337.\nAnswer: 3*y**3 - 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1074451627 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-145424)\/(-3576) + 82\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7097768.6467 - -1.09.\nAnswer: -7097767.5567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27387 = -3*u + 2*n, 4*u - 57*n - 36536 = -61*n. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423980*f - 3258037*f - 892387*f - 4 + 3.\nAnswer: -3726444*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 6:00 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80958897 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 8*l**3 + 3*l**2 - 1 - 6*l**3 as s + u*l**2 + h*l**3 + x*l and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6186 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/6 - 227*s**3\/3 + 1343*s**2\/2 - 5348*s\/3 + 3560\/3.\nAnswer: (s - 445)*(s - 4)**2*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7011*u - 7017*u - 4.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {e: 5, j: 3, u: 1, n: 3, w: 7}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 24*t + 402. Let k(n) = -920*n. Give k(q(y)).\nAnswer: -22080*y - 369840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(16 - 16 + p) + 2*p + 0*p + 0*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111 (base 5) in base 13?\nAnswer: -481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2737243 and 0.612?\nAnswer: 1675192.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = l - 23 - 16, -81*l = -79*l - 6 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4092502)\/(-404349) - (4\/(-18) + 0 - 92\/(-9))?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7948 is divided by 1984?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18598197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3969, 10, -5.\nAnswer: -5, 10, 3969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 886.3 and 0.06.\nAnswer: 53.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**3*o - 793*l**2*o**2 - 3*l*o**2 + l + o**2 - o wrt l.\nAnswer: -24*l*o - 1586*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1002?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 1\/3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/25, 0.2, -0.1, 0.480858 in decreasing order.\nAnswer: 0.480858, 0.2, 1\/25, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/(-24))\/(-7) - (-175)\/30. What are the prime factors of (-2 + 1)\/(h\/(-2136))?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/15)*i*i**(2\/5)*i\/(i*i\/i**(-1\/7))*(i**(-1\/2)*i)\/i*i**(3\/8)*(i**3\/i)\/(i\/((i*i\/(i\/i**(-1\/2))*i)\/i*i)) assuming i is positive.\nAnswer: i**(2323\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 + -6 - 0 - 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.007, 3, -5, 2, 0.31?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1)*3 + (13 - 8). Let z(q) be the third derivative of 0*q**4 + 0*q + 1\/15*q**5 + 0 + 3*q**u - 1\/2*q**3. Differentiate z(m) with respect to m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) 0.06 (c) 38\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.625762 millimeters?\nAnswer: 0.004625762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*(11799 - (6 - 9)). Let m = -2830 + y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/3402 and 121\/21546.\nAnswer: 64638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.449 - -0.938. Let x = -0.49 - v. Let q = -0.079 - x. What is the closest to -0.1 in q, 0.1, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -h. Suppose 2*g + 9 = h*g. Suppose -i = g*i + 8. Put i, 0, -4\/5 in decreasing order.\nAnswer: 0, -4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -209439*f - 838. Is h(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 104\/3*6\/1. Find the common denominator of (-774)\/g - 6\/39 and (-3)\/(-14)*(14\/48)\/((-117)\/5694).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3072156 minus 2?\nAnswer: -2.3072156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -60034 (base 7) to base 6\nAnswer: -150451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 1418. Let a(v) = -324*v. What is a(h(k))?\nAnswer: -324*k - 459432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 8.\nAnswer: -4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by -43727?\nAnswer: 270\/43727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2 - 2. Suppose -5*x - 5*i = -3*x - 16, r*i = 0. What is the remainder when 21 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.02 and -0.26?\nAnswer: -0.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(4*3*(-5)\/90). Find the second derivative of -49*u**3 - 26*u**3 + 104*u - 46*u**o - 3*u**3 wrt u.\nAnswer: -744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.544771587 rounded to 2 dps?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, w: 3, e: 3}. Give prob of sequence eev.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 1011?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-546))\/((-3)\/(-39))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.43779 millimeters to nanometers.\nAnswer: 11437790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 2\/5, 453, 0, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -30*y - 814. Let q be u(-28). Let k be -3*((-2)\/1 - 0). What is the greatest common divisor of q and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*b*m**3 + 26*b*m**2 + b*m + 3*b - 1071*m**2 - 2*m + 99826 wrt m.\nAnswer: -72*b*m + 52*b - 2142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 3*u**2 + 3*u**2 + (u**2 + 0*u**2 + 0*u**2)*(5*u - 6 + 6).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1*55)*(-96)\/120. Let i = c + -41. Determine q, given that -4*q**i + 5*q**3 - 3*q**3 + 131*q**2 - 133*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98635 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118838.\nAnswer: 2, 3, 7, 17, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and 72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 541495 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 15*r - 39. Calculate i(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1913141 divided by 1913141.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 33366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = -z + 48. Solve 2*d = -5*x + 5, -2*x + 23 - 2 = -z*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3 - 5. Let d(u) = 5*u**2 - 3*u**2 + 4*u**g. Let a(c) = -2*c. Give a(d(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 5)\/(-32 - -31) - -10. Which is the biggest value? (a) 2 (b) v (c) 38\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40397, -40396, -40393, -40388, -40381, -40372, -40361?\nAnswer: -40348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14736 - -14739. Solve -6 = -3*l, 4*l - 16 + k = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3*m**8\/28 + 5*m**4\/12 + 8*m + 6. Let h(j) be the first derivative of u(j). Find the third derivative of h(l) wrt l.\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17, -3, 1 in ascending order.\nAnswer: -17, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let b be (4\/(-6))\/((-6)\/45). Let o(h) be the third derivative of h**4\/12 + h**3\/3 - 6*h**2. Calculate b*i(d) - 2*o(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(0 + 0 + 14*v)*(2*v + 749*v**2 - 661*v**2 - 3*v) in the form z*v**3 + x + n*v + q*v**2 and give z.\nAnswer: 2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45543, 91027, 136493, 181935, 227347, 272723, 318057?\nAnswer: 363343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 901 divided by -1452\nAnswer: -901\/1452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 367 and -2.1599?\nAnswer: 369.1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1078585 (base 10) to base 4\nAnswer: 10013110321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/5)\/((-3)\/(-10)). Let g = 7 - q. Let f be 1\/2 - (-2 + g). What is the second biggest value in -1\/5, f, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45.4 + 45.400664. What is m rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let v(n) = -9*n**2 - 2*n - 46. Determine v(g(k)).\nAnswer: -9*k**2 + 2*k - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:13 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.864 decades to years.\nAnswer: 1678.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 9*q - 5. Let z be s(5). What is the highest common divisor of 56 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/5 + 107124*a**2\/5 - 1434443922*a\/5 = 0.\nAnswer: 0, 26781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/212 and 97\/212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24435, -24391, -24345, -24297, -24247, -24195, -24141?\n\"Answer: w**2 + 41*w - 24477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 4*b**2 - 2*b + 1. Let u be f(4). What are the prime factors of 2\/(-6)*3*u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -1\/56*f**8 + 0 + 0*f**7 - 2*f + 0*f**2 + 0*f**6 - 1\/12*f**4 + 0*f**5 + 0*f**3. What is the third derivative of m(u) wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 10*v + 1. Let o be p(10). Let t(k) = -k**2 - 5*k - 2. Let n be t(-4). Put n, 5, o in descending order.\nAnswer: 5, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 6) in base 13?\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**3 + 276*r**2 + 540*r + 268 = 0.\nAnswer: -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1451 + 1664. Suppose -3*s + 45 = -342. Suppose -3*p = s + f. Round p to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23384847 is divided by 1605.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/22670 and -46\/271965?\nAnswer: 1233089310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let y = 0.5 - n. Suppose -54 + 732 = 895*u - 1121*u. Which is the fourth biggest value? (a) y (b) -3\/7 (c) 15 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0391547 to 4 decimal places.\nAnswer: -0.0392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29697.77 centuries in millennia?\nAnswer: 2969.777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000197551 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:23 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/4 - 41\/12. Let n = 287.3 + -253. Let k = n - 34. What is the second smallest value in -4\/7, q, k?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -2\/15 (b) -0.2 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -801185*j*l**4*z**3 + 6*j*l**2*z + 7*j*l + 13*l**2*z**3 - 65*l wrt l?\nAnswer: -19228440*j*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101362 + 22114.5.\nAnswer: 123476.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 820 - 770. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6437285 is divided by 1768.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -153, -134, -107, -72, -29?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 2735286596?\nAnswer: 2735286596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -624.000018 + 624. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 7:43 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*o - 46*o + 75*o + 23*o + (0*o + 2*o - 3*o)*(0 - 1 + 3) + o - 2*o - o to the form m*o + p and give m.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4204181*y - 3842710 with respect to y.\nAnswer: 4204181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -683\nAnswer: -136.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -16. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/5 - 53510024*y**2\/5 - 178957720290048*y\/5 - 357915226540032\/5.\nAnswer: -4*(y + 2)*(y + 6688752)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.2 - 2.4. Let z = t + -0.8. Let r = -112 - -563\/5. Which is the biggest value? (a) -1 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2929340.4 months?\nAnswer: 2441.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 12*v**2 - 126*v - 11. Let s(n) = 2*n**2 + n + 2. Give -g(c) - 6*s(c).\nAnswer: 2*c**3 + 120*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1)\/((23312\/(-235))\/(-124))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444263131 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/1 - -2) + 0. Let x = -66 + 66.2. Let j = 0 + 0.1. What is the nearest to x in y, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31985 - -31984.8. Which is the third biggest value? (a) -5 (b) f (c) -11 (d) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147576 to the power of 1\/2, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 20. Solve 2*u - 3*u = l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 5 = l + 6*d, 4*l = -5*d + 20. Solve 4*g + 5*b + 1 = 7, g - l*b = -11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 14 + 0 - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r**2 - 5*r + 3. Let a be z(1). Sort 0.2, 5, a.\nAnswer: a, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1036, -2140, -3248, -4360?\nAnswer: -5476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16608046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5121*d - 5121*d + 261*d**2. Let s(p) = 2*p**2. Give t(s(g)).\nAnswer: 1044*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 6. Let m be s(-8). Suppose 7 = -4*k + 3*g - 8, -20 = -2*k - 4*g. What is the closest to m in k, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*i = -7*w + 15, 5*w + 3*i - 25 = 0. Let b(h) = -15*h - 1. Let q be b(-3). Let p = q + -42. Solve -5*y + p*t = -w, 3*y - t - t - 7 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v**5 - 18*v**5 - 28*v**5)*(3 - 3 + 1 + (5 - 5 - 2)*(-3 + 0 - 1)*(-6 + 4 + 0) + 2 + 2 + 1).\nAnswer: 640*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2474809 to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.08435 kilograms in nanograms?\nAnswer: 69084350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -90, -2 in increasing order.\nAnswer: -90, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, 0.5, -1, 2.2 in descending order.\nAnswer: 2.2, 0.5, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 604432503199 take away -4.9?\nAnswer: 604432503203.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 1, z: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254 - 2*y**3 + 254 - 383*y**2.\nAnswer: -2*y**3 - 383*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 46*j - 28. Let c be h(1). Calculate the greatest common factor of 1314 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s + 2. Let y(o) = 638*o + 143. Determine 429*j(f) - 6*y(f).\nAnswer: 33*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 32. Let p = -168 + 181. Are p and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-20) + (246\/10 - 1). Let d be (-1 - 4)\/(-5)*97. Suppose y = -95*t + d*t. Solve -t*l - 15 = -7*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12578066, 25156122, 37734176, 50312228, 62890278, 75468326, 88046372?\n\"Answer: -y**2 + 12578059*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 + 1 - 5*4\/(-20) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34165 - -34165.2. Let g = -13\/7 - -46\/21. What is the closest to 2\/3 in -4, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*d = t, 0 = 5*d. Let f be 0 - (-1 + (-14)\/(-12)). Is f smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/7 (b) -56 (c) -4 (d) -817 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*a - 2*r, -3*r + 37 + 35 = 2*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 + 1196457*j\/2 - 598229.\nAnswer: (j - 1)*(j + 1196458)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 11*z + 9. Let h be o(-8). Suppose h + 565 = s. Suppose -c - c + 2*n + 1580 = 0, -4*n + s = c. What is c rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2. Suppose 0 = 3*f + 2*x + 5, -2*x - 4 = f + 3. Let c be (-3 - (-3 - 0))\/f. Let s(r) = c*r + 13*r + 4*r + r. What is s(a(g))?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) 29\/6 (b) -7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (14 - 4\/1). Let r = -4 - -30. What is the remainder when 24 is divided by r\/1*6\/u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 27771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*k**3 - 39*k**4 - 22*k**3 + (16*k - 6*k + 19*k)*(3*k**3 - 3*k**3 - 2*k**3).\nAnswer: -97*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*u + 42, -5*u - 34 = -4*c - 2*u. Let l(x) be the first derivative of 3*x**2\/2 - 14*x + 5. Does 7 divide l(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*127\/762*135\/(-7).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oto when three letters picked without replacement from {o: 4, t: 16}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6*u)\/u*u**(-2\/21)*u*u\/(u*(u*u**(-7))\/u)*u\/u**(1\/7)*u)\/((u**2)**(-2\/23))**(-36) assuming u is positive.\nAnswer: u**(4589\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1669*p + 8102*p**2 + 835*p - 220*p**3 + 834*p + 1603*p**3 wrt p?\nAnswer: 8298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117\/287 or -19\/14?\nAnswer: -19\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46683, 93377, 140071, 186765, 233459?\n\"Answer: 46694*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93096 and 261617.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -3\/7 (c) -104 (d) 4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12 and -21\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 109 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - t - t = 12, 2*m - 6 = -2*t. Let y = 106.8 - 106.6. Which is the third smallest value? (a) -0.5 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012433 (base 5) in base 2?\nAnswer: -100000011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74401 - -126101. What is l rounded to the nearest 1000?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 825 and 15125?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9507185 rounded to one decimal place?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3815696*l + 15262800. Calculate k(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14*t + t + 9*t.\nAnswer: -4*t + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 + 15. Let z = 196 + j. Solve 0 = -f - z*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2 + q + 5 + 9. Suppose l - s + 3*s = 3, -5*s + 11 = 2*l. Let v be f(l). Solve n = v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 12*v**2 + 10*v + 13. Let m be w(11). Suppose -3*u - 2 = 4*s, s + 8 = 4*u - m. Factor -2 - 2*c**u + c**4 + 3*c + 3*c**2 + c - 3*c**3 - c.\nAnswer: (c - 2)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 + b**3 + 3*b**2 - 5*b**3)*(41*b + 41*b - 70*b + (-3 + 3 + 6)*(0*b + 2*b + 0*b)).\nAnswer: -24*b**4 + 72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 70021?\nAnswer: -70017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52228 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 33*t - 11. Calculate v(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1749 - 4.8251. Which is the third biggest value? (a) i (b) -791 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(1*6\/(-3)). Suppose 29 = -d*w + w. Round w to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 12*o + 2. Let f be q(-10). Let h be (280\/1190)\/(22\/f + 1). Is -2 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*j**4 - 46*j**4 + 224*j + 225*j**2 + 94*j**4 + 144*j**3 + 320*j + 327*j**2.\nAnswer: 2*j*(j + 2)**2*(j + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3091962 != -3091960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13*n**2 + 4*n + 4. Let y be w(-2). Let c = -45 + y. What are the prime factors of (-1)\/(-2 + (2 - c\/9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(1\/16)\/h)**(-2\/103))**7)**(-12) assuming h is positive.\nAnswer: h**(21\/206)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 12388*l\/11 + 12390\/11.\nAnswer: -2*(l - 6195)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 7*n**2 - 3*n + 16. Let s be p(7). Calculate the remainder when (-791)\/(-21) - s\/(30\/8) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -294.8 (b) -1 (c) 0.5 (d) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 43312231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6386256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 76538293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 630, 2\/145, -17.4?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2047*m = -41815 + 230139 for m.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*x - 50 = 0, -3*h + 0*h = x - 20. Solve -2*z = -4*o, 2*o = h*z + 5*o - 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.124 - 0.176. Which is the second biggest value? (a) p (b) 1 (c) 5.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 11220 = 5*o. What is o rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14367 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*p - 21, -i + 5*p + 0*p = 12. Find l, given that -6 - i*l + l**3 - 7*l**2 + 13*l**2 + l**3 + l**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9440 by -472.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-139224)\/(-36) - 4\/3. Suppose u = -2*w - 3*x + 16153, 2*x = -3*w + 18438. Suppose -5*s = -1177 - w. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/3, 22, -2.82?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**7\/42 - 19*n**4\/12 - 8*n. What is the third derivative of l(v) wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 216*l**3 - 75*l**3 + l**2)*(0*l - 3*l + 4*l)*((0 + 1 + 1)*(-4*l + l + 2*l) - l + 3*l - 8*l).\nAnswer: 2328*l**5 + 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-72)\/(-68))\/6)\/((-33)\/(-33))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - o**2 + 6*o**2 + 13*o**3.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 193787910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -51*n**2 - 2*n - 65. What is the first derivative of a(h) wrt h?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 0.06, -1\/5 in descending order.\nAnswer: 0.06, -1\/5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313754 and 5110.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) + (sqrt(960) + sqrt(960)*-1 - sqrt(960)) - sqrt(15))\/(sqrt(10)\/sqrt(2)*-2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15063.998454 - -15064. Round j to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*q + 4, 3*b = -2*b - 4*q - 37. Let x = -5 - b. Let m be ((-9)\/(-15))\/((-8)\/5). Are m and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.06 - 46.06. Let p = 54474.3 - 54429.29688. Let r = p + s. Round r to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*w - 413216 = -6778061. List the prime factors of w.\nAnswer: 47147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 74 = -8*f + 125, -5*f - 3*v + 39 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -60, -2 in ascending order.\nAnswer: -60, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**3 + 39*y**2 + 5464*y + 58155569?\nAnswer: -6*y**2 + 78*y + 5464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -67. What is the smallest common multiple of 54 and p?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*j = -42, 3*j + 22 + 49 = 5*a. Calculate the remainder when a is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 6*j**2 - 5*j - 13. What is the remainder when 101 is divided by n(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15651 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 15 + 12)*(-2*g + 3*g - 8*g).\nAnswer: -175*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.17426.\nAnswer: -0.69704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*n - 3 = 0, 2*o - 176 = -4*n - 166 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 6 = 2*l. Suppose l*v - 10*v = -275. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -349*w**4 - 5*w**3 + 18*w**2 + 20417*w + 1 wrt w.\nAnswer: -8376*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:11 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {d: 1, g: 1, z: 2, v: 4, e: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 64. Let o be (576\/39)\/(-6) + a. Which is smaller: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 48 = 48. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/12 - 3*l**2 - 19. Let v(a) = 4*a + 5. Let c(n) = -5*n - 6. Let b(d) = 5*c(d) + 6*v(d). What is k(b(o))?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6\/396*-6 - 27\/(-55)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(6 + (-74)\/12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 5)*(-166*h**3 - 2*h**4 - 29218*h**2 + 29191*h**2 + 38*h**3) as s*h**2 + q*h**3 + t*h + d + p*h**4 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/114, -2\/3, 29\/41, 1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 140458 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 25 + ((-3040)\/180)\/(-19)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 18*j**2 - 1\/2*j**3 + 0*j - 13\/24*j**4 - 9\/20*j**5 + 0. What is the second derivative of i(q) wrt q?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 32 - 53)*(-g**5 + 12*g**5 - 63*g**5).\nAnswer: 2860*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265 and 4251660?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = k - v - 5, 4*k = v - 25. Let y(x) = -170674*x + 282. Let o be y(k). Round o to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*l - 415, 0 = n - 0*n + 2*l - 80. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + (6\/18 - 0))*1494*-2?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899052 is divided by 302?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*q + 2, 4*t - 28 = -q. Suppose -k - t*k = -630. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, 0, 11, 0.2, -0.018 in decreasing order.\nAnswer: 11, 2, 0.2, 0, -0.018, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = q + 24. Let t be ((-2)\/3)\/(8\/q). Differentiate -28 + p**4 + t*p**4 + 5*p**4 wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l*l**(-2\/11))\/l)*l*l\/(l*l\/(l*l*l**(4\/19))))**(4\/15) assuming l is positive.\nAnswer: l**(400\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r + 33*r - 5*r + 25*r + 69*r - 16*r.\nAnswer: 134*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*8\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -295 and -64.3.\nAnswer: 18968.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1780 - 1745. Calculate the remainder when 242 is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/60 - 38\/(-84). Let b = 66 - 66.039. Let r = b - -9.039. Sort 1\/3, -2\/3, c, r in increasing order.\nAnswer: -2\/3, c, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2\/6 + 0). Let o = f + 7. Suppose 0 = o*k - 3*k - 12. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(0 + 0 + sqrt(128)*-2 + -1 + sqrt(128) + -2 + 1*sqrt(128)*-1))**2.\nAnswer: 128*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 3. Let h = -2 - z. Let n = h - 2. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(14)\/(3*sqrt(2)) - 4*sqrt(21)\/sqrt(3)) - (sqrt(28)*-4 + sqrt(7) + -2 + sqrt(28)))**2.\nAnswer: -24*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.4 + -69. Which is the second smallest value? (a) -18 (b) -2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 827*h + 12350. Calculate x(-15).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(3*g**4 + 0*g**4 - 4*g**4)*(0*g - 4*g + 11*g).\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 550\/(175\/7)*108\/(-99)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4976.27 rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 317 (c) -13625\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10124250905967 and -0.5.\nAnswer: 10124250905966.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -891405\nAnswer: -2\/891405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 409, 1092, 2227, 3814, 5853, 8344?\n\"Answer: 226*i**2 + 5*i + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*l - 35, 0 = -3*x - 2*l + 18 - 1. Let f be x - (2 - -2) - -5. What are the prime factors of ((-2056)\/32 + f)\/(1\/(-4))?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fccf when four letters picked without replacement from ccfcf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 1752?\nAnswer: -1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3\/3 - 17*z - 5. Let q be d(-7). Calculate the greatest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + t - 4)*(0*t + 0*t + t) + 2*t**2 + t**2 - 2*t**2 + 4*t**2 + 2*t**2 - t**2 + (-2*t**2 + 4*t**2 - 3*t**2)*(-1 - 1 - 2).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3705 or 8806?\nAnswer: 8806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:21 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 28*p - 261. What is the units digit of g(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -25.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1)\/(2\/4). Let x(d) = 2*d**2 - 4*d + 2. Let a be x(j). Let c = 6 - a. Solve 0 = 2*r + 5*g + 23, -4*r + c*g = -0*g + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7258991 (base 11) in base 16?\nAnswer: -c36f87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*((-186)\/(-42) + -1). Let s be 5*j\/(-32)*4. Sort -3, s, 7.\nAnswer: s, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97805 is divided by 1288?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19254588949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*d - 51*d = 105. Suppose -d*f + 2*f + 211489 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 - 7*d**2 - 3*d - 2. Let l be i(-2). Let h(b) = b**3 + 2*b**2 - b - 5. Let p be h(l). Let c(r) = 32*r**2 - 2*r + 5. Is c(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 434\/4 - 1\/2. Let v = -75 + d. Suppose -340*z = -323*z - 51. Calculate the highest common factor of v and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/13 - 3048932*d\/13 = 0.\nAnswer: 0, 1524466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)*5 + -1*1*sqrt(130))\/(-1*(sqrt(640) - (sqrt(640)*-1 + sqrt(640)))).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)*2\/(-2). Suppose 3*i = -2*h, 6*i = -3*h + i - s. What is the third derivative of 3*c**6 + c**6 - h*c**6 - 2*c**2 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3561*y + 2950*y + 2 - 2571*y + 2973*y.\nAnswer: 6913*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -55*a + 466. Is n(-55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 72*y**2. Let d be k(-2). Let o = d - 157. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -534380 - -2457070. Let v = -1922685.000005 + y. Let t = -5 + v. What is t rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7734.3 + 7735. Is f smaller than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 + b + 1. Let o(s) = -s**4 + 9*s**3 + 10*s**2 - 9*s - 9. Let m(j) = 18*h(j) + 2*o(j). Factor m(n).\nAnswer: -2*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2 + 2158*c. Let s(m) = -2*m + 6. Determine v(s(l)).\nAnswer: -24*l**2 - 4172*l + 12732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 9*o + 8. Let y be n(-9). Find g, given that -8*g + y*g**2 - 4*g**2 - 2*g**2 + g**2 - 3 = 0.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibiqwbvevqbvvbvb. Give prob of sequence vwvb.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10221010?\nAnswer: 10221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Suppose 0 = i - 3*s + 2*s - 7, 0 = 3*i - 4*s - 23. Let w(p) = 3*p. Let o(c) = i*w(c) - 7*t(c). Let b be o(0). Which is bigger: b or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6*x = -2*x + 341, 3*q - x = -1088. Let z = 610 + q. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*-5.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:27 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 14 - 22 - 20 to q*k + d and give d.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 9*m + 0*m)*(-3*m + 7*m - 3*m) as a*m**2 + c*m + w and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8307 + 9725. What is the remainder when u is divided by 101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00990722 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 436998 and 5972306.\nAnswer: 17916918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 2*u - 3\/2*u**2 + 0 - u**3. List the prime factors of f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 5*q**2 + 29*q - 269. What is the tens digit of u(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.11 and 22989.\nAnswer: -48506.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:03 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p. Let t(k) = 8*k + 3. Let w(z) = -6*z - 2. Let m(a) = 2*t(a) + 3*w(a). Calculate m(q(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 11. Suppose 7*w - 4*w = -2*i + k, -4*i = -4*w - 60. Find the second derivative of 0 + i*r**2 + 0 + 2*r - 4*r wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 562.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014713345 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01278114286 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.027 + 2.027. Which is the nearest to x? (a) -0.2 (b) 0.3 (c) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 3:34 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*t**6 - 2*t**5 + 616*t**2?\nAnswer: 3720*t**3 - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 - q + 1. Let k(s) = -16*s**2 + 4*s. Give -2*k(b) - 10*n(b).\nAnswer: -18*b**2 + 2*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/3))**28\/(f**(2\/3))**(2\/5) assuming f is positive.\nAnswer: f**(556\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 74314.36cm?\nAnswer: 743143600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/((m*m**(1\/4))\/m))\/m))\/(m*m**(-23)\/m*m*m) assuming m is positive.\nAnswer: m**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 8*x + 3. Let g(l) = -l**2 + l - 2. Let h be g(3). Let t be j(h). Solve -2*y + t*y - 3 = -c, -y + 4*c = 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 645 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2080 + -628. Suppose -19*l + 21*l = n. Let f = l + 391. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/29 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -43181843.\nAnswer: 3\/43181843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2 + 1) + 9. Put z, -15, -3 in decreasing order.\nAnswer: z, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -5, 4.24, 268, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/5 - 4*t**4\/3 + 8*t**3\/3 + 127*t. Factor l(u).\nAnswer: 4*u*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 445 + 1741 = -105*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let u(f) = -f**2 + f. Let g(l) = l**2 - 2*l - 3. Let c(d) = o*u(d) + g(d). Differentiate c(q) with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609095652 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 0.297. Let f = -0.037 - o. Let m = 0.019 - -1.981. Which is the nearest to -2? (a) m (b) -2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -84.9. Let d = 15 + -69\/5. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*s + 85, 2*s + 3*s = 4*u - 69. Calculate the highest common divisor of 128 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -104, -2.\nAnswer: -104, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) 0.1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, n: 4, y: 3}. What is prob of picking 2 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 7*g - 31. Let h be v(10). Put h, 2\/17, -3 in increasing order.\nAnswer: -3, h, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 16. Let l = j - 13. What is l rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154504*a**3 - 2359*a**2 + 2*a + 3?\nAnswer: 927024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19a4 (base 11) to base 12.\nAnswer: -1572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35465027, 35465017, 35465007, 35464997, 35464987?\n\"Answer: -10*d + 35465037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48072.\nAnswer: 2, 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 227*s + 232*s = -10, -10 = -w - 3*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 10. What is the remainder when 39 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.66931um in centimeters?\nAnswer: 0.006866931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.42 times -0.1?\nAnswer: 0.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124410121 (base 5) in base 6?\nAnswer: 131112205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(162) + 0 - (4 + sqrt(162) + sqrt(162) + 2))**2.\nAnswer: 72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 205160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7868 is divided by 105.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*r - 144*r + 8640 = 0 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1908303?\nAnswer: 3, 19, 33479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2550 and 23\/2584170.\nAnswer: 12920850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-4)*(-11572)\/(-350053).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/9720 and 35\/234.\nAnswer: 126360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 176, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -376245 divided by -376245?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**4 - q**2*v + 216*q**2 + 1363*q - v wrt q?\nAnswer: 36*q**2 - 2*v + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 4*x + 30. Calculate the remainder when (-6)\/(4\/x*5\/(-42)) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8625262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -599251.9199993 - -599252. Let t = -161 - -161.08. Let r = t - v. What is r rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 210 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (8 - 0)) + (20 + -5 - 6)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 6 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214652 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -809361.\nAnswer: -32\/809361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011100110010001111 (base 2) to base 4.\nAnswer: 100130302033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.207 bigger than 58929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 3 (b) 2\/29 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**1*h)**(-5) assuming h is positive.\nAnswer: h**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1096246 (base 11) to base 15.\nAnswer: -27b608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 87880?\nAnswer: 87880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 7:30 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13469, 0.3, -4\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 773515321 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 - 205164738*i + 3507714143217387 = 0 for i.\nAnswer: 34194123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11107 - 11103. Put 1, -2\/7, p, 2, -1 in descending order.\nAnswer: p, 2, 1, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 0*z + 0*z)*(0*z - z + 3*z)*(-4 - 1 + 1)*(-2 - 1 + 5).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 693*g**2 + 6*g - 99. Determine w(0).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -4*r**2 - 21\/2*r**3 - 113\/24*r**4 + 0*r - 24. Differentiate w(v) wrt v.\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*a + 132*a - 127*a = 805 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 14*w - 62. Let d(l) = -2*l**2 + 12*l + 61. Give -6*d(h) - 5*t(h).\nAnswer: 2*h**2 - 2*h - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(720)*2)**2 + (sqrt(55)*-2)\/sqrt(11) + (-5 + sqrt(5)*-1 + -4)**2).\nAnswer: -17796 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1755, 3748, 6187, 9270, 13195, 18160, 24363, 32002?\nAnswer: 41275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -619 or -592?\nAnswer: -619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:41 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 - 3 = 0. Suppose w*q - 3*q = -2. Solve 3 = -q*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/12*(-30)\/35. What is the nearest to -2 in f, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*b + 5, 0 = -2*l - 5*b + 695. Suppose 0 = -4*j - f - 227 + 700, -3*j - 4*f = -l. What is the remainder when j is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -28. Let k = 17 + i. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 5*k**2 + k**2)*(4 - 3 + 1) - k**2 - 2*k**2 + 2*k**2 + 5*k + 2*k**2 - 5*k + (2*k**2 + 0 + 0)*(0 + 0 + 1) - 2*k**2 + 3*k**2 + k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58185054?\nAnswer: 2, 3, 359167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54700 - 23987. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**8\/2520 + p**7\/2520 + p**6\/1080 - 11*p**3\/3 - 28. Let m(b) be the third derivative of n(b). Factor m(k).\nAnswer: -k**2*(k - 1)*(2*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 - 9*m**4 + 40141*m**2 - 302*m + 7760.\nAnswer: -40*m**3 - 108*m**2 + 80282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65 - 14*v**2 + 65 to x + q*v + c*v**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -122?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) 0.07 (c) -3\/8 (d) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 773*n**4 + 2*n + 414?\nAnswer: 3092*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**7\/70 + 3*x**6\/40 + 3*x**5\/20 + x**4\/8 + x**2 + 4. Let b(r) be the second derivative of f(r). Solve b(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1, 17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10056448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7849804t in kilograms?\nAnswer: 784.9804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -20. Solve -5*o = -3*b + 37, -3*o + 5 = k*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**7\/252 + 7*d**6\/180 + 2*d**5\/15 + d**4\/9 - 4*d**3\/9 - 4*d**2\/3 + 5*d. Factor p(w).\nAnswer: (w - 1)*(w + 2)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, -6, 175, -42, -0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 139?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 20*h + 2*h)*(-6*h + 2*h + 2*h) - 4*h**2 + 2*h**2 + 3*h**2 as p*h + z + y*h**2 and give y.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 287083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 11*y - 4829. Suppose 0*l + 280 = -4*l - 3*a, 0 = -2*l + 2*a - 154. Let p = l + y. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(66) - sqrt(66)*1) + sqrt(66))*5*-1)\/(2*sqrt(384)*2) + -5)**2.\nAnswer: 5*sqrt(11)\/4 + 16659\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y - 21. Let w = -13 + 24. Let g(h) = 8 - 1 - w*h + 6*h. Let i(s) = 17*g(s) + 6*u(s). What is i(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - n**2 + n + 1. Let k(y) = -6*y**3 - 5*y**2 + 6*y - 2. Let q = -138 - -137. Let m(s) = q*k(s) + 5*g(s). Let z = -2 + 2. Give m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 75*i + 6740. Calculate the remainder when 8973 is divided by z(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 + 4121554*p\/11.\nAnswer: 2*p*(p + 2060777)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and (20812\/363)\/(1\/3*2)?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -12033?\nAnswer: -12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22325, 22249, 22113, 21911, 21637, 21285?\nAnswer: 20849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1648798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -141. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.51, -2\/7, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, -2\/7, -0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*p - 33*p + 62*p to the form h + f*p and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*p + 2*q, -p + 5*p + 28 = 4*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + (sqrt(130) - 5*sqrt(130)) + sqrt(130) - sqrt(130) - sqrt(130)) + sqrt(130))*-2 - sqrt(130))\/(sqrt(110)\/sqrt(539)).\nAnswer: 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 71 (b) 13 (c) -4 (d) -9 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 2013?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6860053.\nAnswer: 281, 24413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 5, q: 5}. Give prob of picking 1 n, 2 z, and 1 q.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2400 (base 7) to base 13\nAnswer: 52b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23129.\nAnswer: 101, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 84 - 32*k**2.\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*r + 13 - 13)*(49 - 2*r + 25*r - 50 + 81*r) in the form q*r**2 + p*r + t and give q.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994705?\nAnswer: 5, 198941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 30 = r, -5*r = -87*c + 80*c + 18 + 41 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6306216 (base 7) to base 9\nAnswer: 1375400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, 3\/7, 0, 16\/33, 2, -2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4912\nAnswer: 3\/4912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23432737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11465 - 11461. Put 300, -5, 5, o in decreasing order.\nAnswer: 300, 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -515 - -1132. What is the remainder when a is divided by 76?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*v*y**3 + 105*v*y**2 - 5*v*y - 7730*y**3 - 4*y**2 wrt v.\nAnswer: 85*y**3 + 105*y**2 - 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/279 and -5\/1116.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -19, 3 in ascending order.\nAnswer: -19, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 107142210?\nAnswer: -107142208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238793346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 153*h**5 - 7*h**4 - 6*h**2 + 2258*h + 3. Let j(w) = w**4 - 2*w**2 + 1. Let c(p) = g(p) - 3*j(p). What is the second derivative of c(t) wrt t?\nAnswer: 3060*t**3 - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**7\/14 + 231*i**6\/10 - i**4\/6 + 15*i**3\/2 + i**2\/2 + 4892*i. Find the third derivative of z(m) wrt m.\nAnswer: 180*m**2 + 16632*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001421322 to five dps.\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - q**2 - 3*q + 100. List the prime factors of z(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*w + 4*o - 3190, -4*w - 2*o + 183 + 17 = -32 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6058499 or -6058598?\nAnswer: -6058499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55.8581 + 9.1591. Let u = 46.9 + x. What is u rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/9)\/(4\/(-6)). Suppose z = -3*y - z + 4, -o = z. Suppose -5*s - m = -y - 12, 0 = -s + m + 4. Solve -2*t - 10 = 0, -s*k - t = -2*t + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1070 and 140?\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5552 (base 6) to base 11.\nAnswer: -a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 16038.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36372713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82.9 - 82.913926. What is k rounded to 4 decimal places?\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43\/2 - 211\/10. Let q = 1605\/8 + -201. Which is the nearest to k? (a) q (b) 2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**3 + 14882*b**2 + 9924*b.\nAnswer: -2*b*(b - 2481)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)\/w)**(-6)\/(w*w**(2\/5)*w*w**(-2\/15)*w*w*w))\/(((w*w\/w**(-5\/2))\/w*w*w**(-4\/5))\/(w*w**(-5)*w**(3\/7))) assuming w is positive.\nAnswer: w**(1147\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35, 34, 221, 586, 1189, 2090, 3349, 5026?\n\"Answer: 10*t**3 - t**2 + 2*t - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 2*y - 42. What is r(0)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -932 (base 14) to base 13.\nAnswer: -a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -392438661*x - 635695472.\nAnswer: -392438661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-240) + 527\/(-496))*(-33)\/(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 11*d**3 - 6119*d. Let f(k) = 13*k**2. What is l(f(m))?\nAnswer: 858*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392879762 to the nearest integer?\nAnswer: 19821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) 4 (c) -2 (d) 35 (e) 8\/1925\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 3, j: 3}. Give prob of sequence za.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axfaaaqxqqaf. Give prob of picking 2 f and 1 a.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 - 5*d - 3. Suppose 4*i - 17 = i + a, -28 = -5*i + 2*a. Suppose -3*r - 34 = -i*u + u, -25 = -2*u + 5*r. Is p(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (199*m - 199*m + 5*m**4 + 7*m**3)*(-2 + 0 + 4) as g*m**4 + w*m**2 + a + k*m**3 + p*m and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 3*q**2 - 12*q + 7. Let v be y(5). Let a be (5336\/668 - 5) + v. Is a at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -3)\/(6\/((-27)\/(-9))). Solve 3*s + 0*s + 2*o - 6 = 0, t = -2*s + 3*o + 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1166111 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 765443 * -26.\nAnswer: -19901518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 - 6*h - 14. Let i be r(6). Let v = i - 47. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2299) + -1)**2 - ((sqrt(38)\/(1*sqrt(2)))**2 + -5 + sqrt(76)\/sqrt(4)).\nAnswer: -23*sqrt(19) + 2289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -148, -26 in increasing order.\nAnswer: -148, -26, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 7*g - 30. Let u = g + -33. Does 6 divide u - -5 - (-88 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 21866 - 21866.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13133203 (base 4) to base 10\nAnswer: -30691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 24*u - 44. Let h be l(2). Is (-1)\/2*h + 7439 + -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/(-88)*56\/(-196)*-14.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 3 (c) -1 (d) -6\/7 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/w**15)\/w)\/w**(-23) assuming w is positive.\nAnswer: w**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*t**4 + 12*t**4 - 6*t**4 + 2*t**4 + 0*t**4 - 4*t**4 + (-t + 5*t - 2*t)*(0*t**3 + 2*t**3 + 0*t**3) + 38*t**4 + 5887*t**3 - 5887*t**3.\nAnswer: 83*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 223506\/131 and 1706 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 8:40 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19432, -19429, -19426, -19423, -19420, -19417?\nAnswer: -19414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 490 = -3*y. Suppose -4*h - 14 = 3*a - 125, 0 = -3*h + 5*a + 134. Calculate the remainder when y is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 14. Let d = 44 - 14. Suppose 5*x - d - 25 = 0. What is the units digit of j(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) - 1\/4*-38. Solve 6*v + 15 = u*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1469, 1463, 1455, 1445, 1433?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 6*s**2 + 6*s - 3. Let z = 8 - 3. Let b be r(z). Let u(v) = b + v**2 + 0 + v - 3. Let j(c) = c**2 + 2*c - 4. Calculate -j(d) + 2*u(d).\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35274184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9354504 and 3384.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*r = -2*r - 2, 5*r = -4*s + 19. Suppose -s = u - 3. Let y be u*-1 + (-16)\/(-2). Which is smaller: 7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65.806+3\nAnswer: -62.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(10\/65 - (-93)\/(-13)). Let z be h\/7*5\/15. Which is bigger: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42848.29l in millilitres?\nAnswer: 42848290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w + 3*g - 81 = 18*w - 20, -4*w - 84*g = -212 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 869.625 less than 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwlx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:41 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*s = -41, 0 = 20367*r - 20372*r + 5*s - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -74, -70, -66, -62?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * -61290.\nAnswer: -3187080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ifxifixxiifx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**5 - 8*t**4 - 40*t**3 + 80*t**2 + 36*t - 72 = 0.\nAnswer: -3, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174329425 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7*p - 135 = 5*b, -5*b - p = 150. Are b and -29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**4\/4 + 8*g**3\/3 - 11*g**2\/2 + 8*g - 795. Calculate h(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9269618 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Let t(l) = 14*l**2 + 6*l. Let v(z) = -13*z**2 + 3*z - 4*z - 4*z. Let q(x) = 5*t(x) + 6*v(x). What is q(d(r))?\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:17 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -392257 or -392286?\nAnswer: -392257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 26.6. Let t = -32.6 + 31. Let s = w + t. Which is the third biggest value? (a) 1\/4 (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 1211*u + 1208*u + 1205*u - 3625*u - 14.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/42? (a) 3 (b) -0.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*k + 2719, 10*u - 3*k - 2743 = 8*u. Suppose -u = -4*z + o, z + 3*o - 191 = 141. Is 31 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(-2 + (sqrt(2057) + -1 + sqrt(2057))*-3)*-1)**2.\nAnswer: -1188*sqrt(17) + 666477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -41*f**2 - 3*f + 2. Let k be q(3). Let m be k + (-7 - 1)\/2. What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*f + 140151, -2*k = -1491*f + 1488*f - 70107. What are the prime factors of k?\nAnswer: 3, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*((-2*j - j + 5*j)*(-5 + 0 + 3) + 53*j + 40*j - 30*j) in the form o + k*j and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -355.39 times -0.2?\nAnswer: 71.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 221104 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2767*r**7\/7 + 82*r**3\/3 - 5*r**2\/2 + 344. Find the third derivative of a(v) wrt v.\nAnswer: -332040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -15*a - 41. Let v be f(-8). Let u = v - 34. Is (-2)\/(-6) - 5\/(u\/(-9078)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23232743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 - 0.18. Let o = w - -0.0113. What is o rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**2 + 0 - 5\/12*z**4 + 3*z + 1\/6*z**3. Determine n so that l(n) = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-11.76.\nAnswer: -1.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - 107d?\nAnswer: -108b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-4 + 6))*1*2 + -1 - -14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -1\/20*t**5 + 0*t**2 - 10*t - 1\/6*t**3 + 0 + 1\/6*t**4. Determine n so that s(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436*-28786.\nAnswer: -12550696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2188 - 1256*f**3 + 6479 - 2149 - 2142.\nAnswer: -1256*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 15*d**2 + 9*d + 4. Give w(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 + -330.6. Let l be -3 - (2 - (1 + 2)). Let y be 475\/(-133) - 6\/l. Which is the third biggest value? (a) 2\/5 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2362 - 2983 + 3*a**2 + 8288 - 2943.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/4 - 4\/(-16). Let q = 4 - u. Solve -2*h + 5*h + 4*p + 11 = 0, 5*p - 5 = q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 11*l - 7 = g, 19 = -5*l - 4*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*p - p - 32, 2*p + 52 = -2*m. Which is smaller: -22 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 - 6 - j**2 + 4 + 3 + 3*j**2 in the form d + b*j + z*j**2 + l*j**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182550 and 6510950.\nAnswer: 19532850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 572\/2655 - -2\/295. Let q = -8 + 4. Let z = -2 + 0. Which is the second smallest value? (a) z (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from uyduuuuuuuydududuy.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.302289ml to litres.\nAnswer: 0.002302289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -21. Let p be (-116)\/3*(-6)\/(-4). Let q be ((-2)\/3)\/(p\/87). Put q, h, -1, -2 in decreasing order.\nAnswer: h, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449485.09 seconds in days?\nAnswer: 28.350521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91967\/36 - 10231\/4. Which is the biggest value? (a) w (b) -2\/25 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 20 = 9*u. Let c be (4\/u)\/(-2 + 1444\/720). Let v = -76 + c. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 81*y - 9. Calculate n(-42).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 16, -1, -11730 in decreasing order.\nAnswer: 16, 6, -1, -11730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-41 - (-17 + -42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*p**4*w**3 - 2*p**4*y**3 - 2*p**2*w**3*y**3 - 2*p**2*w**3*y + 7*p*y**3 wrt p.\nAnswer: -720*p*w**3 - 48*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039774717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7993, -31335, -69997, -123973, -193257, -277843, -377725?\n\"Answer: a**3 - 7666*a**2 - 351*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1573*p - 74. Let l(q) = -3145*q + 184. Determine -2*l(k) - 5*t(k).\nAnswer: -1575*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1747 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026280\/561 != 3611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -226, -343, -464, -589, -718?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:55 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 18164951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/((-48)\/(-42) + 2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -47*o**6\/15 - 91*o**3\/6 + 13*o. Find the second derivative of q(g) wrt g.\nAnswer: -1128*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + -5)\/(-6)*1. Suppose -3*n - 2*n + 30 = 0. Put n, t, 2 in descending order.\nAnswer: n, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/4, -1\/3, 7034 in decreasing order.\nAnswer: 7034, 3, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 349, 711, 1209?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 87 + 52 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.07 + -30. Let i = 0.52 - 0.82. Which is the nearest to 2\/3? (a) i (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-690)\/(-24) + 107\/(-4) + 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24713047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 68*s**3 + 47*s**2 + 2. Suppose -9*m = -42 + 33. Let i(n) = -2*n**2 - 1. Let u(r) = m*h(r) + 2*i(r). What is the third derivative of u(x) wrt x?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 537, 558, 579, 600, 621?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*g**3 - 6*g**2 + 3*g**2 - 15*g**3 to m*g**2 + r*g + k*g**3 + d and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 667.547 years to centuries.\nAnswer: 6.67547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 2:43 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-6)*12\/63. Which is the second smallest value? (a) -4 (b) 2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -80*k**3 + 12*k**2 + 32*k + 84. What is the units digit of s(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a5241a - -4?\nAnswer: -3a52416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24912 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.3 and -411.\nAnswer: 2178.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 46*g**2 - 11*g + 6. Let n(a) = 96*a**2 - 22*a + 13. Let p(v) = 4*n(v) - 9*s(v). What is the second derivative of p(t) wrt t?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -906 and 2\/57631 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 71.89964 micrograms?\nAnswer: 0.00000000007189964","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/228 and -109\/11360?\nAnswer: 647520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 311 divided by -5\nAnswer: -311\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13749 is divided by 334?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866296 is divided by 9625.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 15. Suppose -5*d = -3*k - 16, -o*k + 3*d = k. Suppose -1986 = -k*y - 3*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14))\/((-57)\/(-12))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146168 by 968.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -95. What is the remainder when x is divided by (-78)\/(-9)*3\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o**2 - 2*o + 2*o**2)*(6*o**2 + 55*o**3 - 52*o**3 + 5*o**2).\nAnswer: 3*o**5 + 14*o**4 + 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t**3 - 13*t**2 - 6*t - 8. Let a(p) = -6*p**3 - 12*p**2 - 6*p - 8. Let b(l) = -6*a(l) + 5*x(l). List the prime factors of b(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -16*y**2 + 2*y - 72. Let d(n) = -3*n**2. What is v(d(b))?\nAnswer: 96*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*c - 9 + 34. What is the closest to c in 1\/7, 2, 0.013, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0, 42, -4\/5, -3.88, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*o + 21 = 0, -127*o + 37 = 5*s - 133*o for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*q - i - 12, 2*q + 3*i = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 4*g - 31 + 3*g + 0*g to the form y + r*g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 27*j + 495 = 43*j. Solve 0 = -j*d + 328 - 339 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3330\/19, 16, 5, -53, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112370069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: a41c8 (base 14) to base 6\nAnswer: 12251020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-1)\/3*(-4)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = 45. Let x(p) be the third derivative of -p**5\/60 + 11*p**4\/24 - 8*p**3\/3 + 364*p**2. Let l be x(s). Solve l*f + 10 = 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 55360*f**2 - 3949908*f + 11351376.\nAnswer: 4*(f - 68)*(f - 3)*(f + 13911)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/7)*g*g*g)\/g*g*g*g**(-3)*(g\/g**(2\/19)*g)**(24\/5) assuming g is positive.\nAnswer: g**(7283\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(125))**2 + sqrt(125) + -5.\nAnswer: -5*sqrt(5) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39580 and 298829?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4) + 1)\/((-14)\/12 + 1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62194, -5, 1, 21 in descending order.\nAnswer: 62194, 21, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -47 - -48 - 5\/((-13232)\/(-4412) + -3) is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160 + 106 + 407)*(-4 - 2 + 1)*(0*v**2 + 2*v**2 - v**2).\nAnswer: -3365*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n**(-1\/4))**(-33) assuming n is positive.\nAnswer: n**(561\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28 + (-5 - (2\/6 + 180\/(-54))). Let n be ((-206)\/(-12))\/((-4)\/6). Let x = p + n. Calculate the common denominator of 31\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 5, d: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.708 times 2?\nAnswer: -3.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 + 8 = 0. Find d such that -3*d**4 - 5*d - 9*d**2 - 9*d**3 - d + o*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18037 divided by 281?\nAnswer: 18037\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304437 divided by -14497.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 2*w)*(1 - 2 + 3) + (-4 + 2*w + 4)*(-9 - 14 - 110).\nAnswer: -264*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 - -171. Solve 10 = 13*o - j*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 + 72*t**2 + 1 + 2*t**4 + t**3 - 10*t**4 + 2*t - 70*t**2 - 11*t**4 as u*t**2 + k*t**4 + h*t**3 + c*t + l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-10))\/(5 - (-57)\/(-10)). Which is greater: -5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 2:59 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 1966?\nAnswer: 636984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 575 (base 12) to base 3\nAnswer: 1002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77427 and 12?\nAnswer: -929124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10744 and 1?\nAnswer: 10744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3 + 3717*d**2 + 3708*d - 7428 = 0.\nAnswer: -1238, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 744, 1121, 1502?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, g: 8}. What is prob of picking 2 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(((s*s**(-4)\/s)\/s)\/s))*s\/(s**(3\/4)\/s))**(18\/11))**47)**(-3\/7) assuming s is positive.\nAnswer: s**(24111\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 1\/60*g**5 + 0*g - 7*g**2 - 7\/12*g**4 - 9\/2*g**3 + 30. Determine z(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698047 = 6*w + 226453. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 6*u**2 - 21*u + 15. Let k(s) = s + 1. Let i(c) = -b(c) + 4*k(c). What is the tens digit of i(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -20982.9 - -18479. Round z to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 15 = -34*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 0*p**4 + p**4 + (-1 + 3 - 1)*(2*p**4 - p**4 - 2*p**4).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2716872 by 905624.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49097, 48727, 48357, 47987, 47617?\nAnswer: 47247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*v + 155, 4*f - 7*v = -3*v + 100. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - 3)*(1\/(-2) + 0). Suppose -6*n + k*n = -1082. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 924 = 1507. List the prime factors of p.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(208) + 3 + (sqrt(13) + 0)*-3.\nAnswer: 3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -119*c - 553. What is the tens digit of f(-53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27510 less than -27510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-583)\/(-212) + (-1 - (-2)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.648297 litres to millilitres.\nAnswer: 9648.297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a + 160. Let x be ((-1)\/(-3))\/(5\/(-345)). Let c = a + x. Calculate the smallest common multiple of c and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17295*r**3 + 3*r**2 - 17253*r**3 + 2*r**2 - 5*r**2.\nAnswer: 42*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 2. Is h(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.84 - 0.8. Let n = 0.002 + x. Round n to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let s(b) = 4*b**4 + b**2 + b - 4. Let a(m) = 0*m + m**2 + m + 0*m**2 + m**4 - 1. Let r(i) = p*s(i) + a(i). Differentiate r(q) with respect to q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/9 and 67\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9518*k - 41 + 39 + 9498*k in the form n + w*k and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-7 - (-4 + 6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(55)\/(5*(sqrt(11) + sqrt(99) - sqrt(11))) + -5)**2 - (-4 + ((sqrt(5) - (sqrt(5) + -1)) + -1)**2 + (2*sqrt(245) - sqrt(5))).\nAnswer: -41*sqrt(5)\/3 + 1216\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7246.173 decades?\nAnswer: 724.6173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d + 2*d + d)*(20*d**2 - 8*d**2 - d**2) - 3*d - d**3 + 3*d + (0*d - d - d)*(d**2 - d**2 - d**2) in the form x + z*d**2 + b*d**3 + f*d and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 113 = 2*l - l, -39 = -2*y + 3*l. Is 3*(-9)\/y + 4472 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 1:14 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.684650916 to 3 dps.\nAnswer: 0.685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-6)\/(-36))\/(40\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxkkxxxxkxx. Give prob of picking 1 x and 3 k.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67130 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 19 = 5*a, -67*o + a = -62*o - 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = -6. Let -l**5 + 2*l**5 - o*l**5 + 2*l**2 - 4*l**2 + 3*l**3 = 0. Calculate l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2384 (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1156 and 68?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14998 - 4190 = -70*w - 260*w - 2358 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 15. Let d be 10\/o - (-9)\/(-12). Let m(i) = -i**2 - 4*i - 2 + 0 - 2*i**2. What is m(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72167 - 72162 + 144329 + 8*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 5*a - 13. Let f(k) = 3*k + 55. Let n be f(-14). What is the units digit of x(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118981280 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y**3\/5 - 5777*y**2\/5 + 8131*y\/5 + 2784 = 0. Calculate y.\nAnswer: -1, 29\/12, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265 - -145. Is 41 a factor of 1590\/8 + 6\/x*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:03 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q + 80 = -2*y, 386 = -4*q + 5*y + 393 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(1\/5)*r*r**(1\/3)*(r*r**(2\/3))**32)\/((r**(1\/8)*r\/(r**(1\/2)*r))\/(r**(1\/4)\/(r\/(r\/r**(-3))))) assuming r is positive.\nAnswer: r**(7211\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-10 - -30) + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*d + 229*d - 5*l - 40 = 0, -3*d = 2*l + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31887*b*t**3 + 28301*b*t**2 + 4*t**3 wrt t?\nAnswer: 191322*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6*d - 2205 = 3*d, -2*q - d + 1105 = 0. Suppose 1705 = -4*r - q. Let t = -357 - r. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 61. Solve 0 = 3*x - i*h + 7, 0*x - 3*h + 11 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 - 78*i**2 + 34*i - 111. Calculate k(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9589 plus 0.16?\nAnswer: 1.1189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36931?\nAnswer: 36931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77993.79389 take away -5?\nAnswer: 77998.79389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362 - 399. Suppose -7*a + 2*a - 185 = 0. Let v = j - a. Solve v = 5*p - m + 13, -m = p + 2*m - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 + 10*j**2 + 858*j + 4277. What is k(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1722 (base 11) to base 13.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8164 - -13757. Suppose g + 3*g - 2784 = -2*u, -4*u - 3*g + x = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.81 + -0.94. Let s = j + 0.1446. What is s rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 8, -1, 4, -5 in descending order.\nAnswer: 17, 8, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-131 + -1)\/(-3)*73. Suppose -l + d - 2*d = 803, -4*d + o = -4*l. Let p = -3255\/4 - l. Calculate the common denominator of 115\/6 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvzvivvziiiziii. Give prob of sequence ziv.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - 10\/(-4). Let f be (2\/(-6))\/((-31)\/465). What is the third derivative of 7*z**f + m*z**2 - 7*z**2 + 5*z**4 - 5*z**4 wrt z?\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514*s = 511*s + 33. Which is the smallest value? (a) -1\/4 (b) s (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = g + 17, -5*i = -6*i + 4*g + 2. Let y = i - 2. Sort 5, -2, y in decreasing order.\nAnswer: 5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**3 + 11*s**2 - 18*s - 28. Let g be c(8). Do g and 5140 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmjt. Give prob of sequence mjm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(-6*-1*sqrt(7) - (-1 + sqrt(252) - sqrt(252)))**2.\nAnswer: -7590 - 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 61557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 42\/(1461\/(-2196) + (-52)\/(-78)).\nAnswer: 97, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 382 + -380. What is the third biggest value in i, -3.4, -1\/5?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 655934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -606 - -636. Which is the nearest to -0.3? (a) l (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9844 + 10354. What is the remainder when k is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (5*(sqrt(99)*-2 + sqrt(99)))\/(1*sqrt(1089)))**2.\nAnswer: 10*sqrt(11)\/11 + 36\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 827.9098l in millilitres?\nAnswer: 827909.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 2*b + 2*b + (-36*b + 21*b + 23*b)*(-3 + 2 + 4) to j*b + a and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.04 + 27. Let s = 66.96 - b. Let c = 66.99999963 - s. What is c rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 34. Determine s(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20796724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20.179*470\nAnswer: -9484.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = n - 495. Suppose 10*u = 6*u + n. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 != 448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19525\/4 + -4899. Find the common denominator of -131\/700 and g.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 7. Suppose -6 - 1 = -2*k + 3*h, 0 = -l*h - 25. Is ((-6)\/k)\/((-6)\/(-92)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 60*o - 158. Calculate the smallest common multiple of h(4) and 492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.3671 centuries in millennia?\nAnswer: 69.03671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.293 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -9) + 25\/(-9). Which is the nearest to 0? (a) 0.1 (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 54663*m - 21*m**2 - 54663*m + 7*m**2.\nAnswer: -14*m**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**5\/20 + 3*q**4\/2 + 5*q**3\/2 - 10*q**2 + 75*q. Let c be g(10). Round c to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 161\/181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4490 and 153.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-54) - 3435\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120262396.\nAnswer: 2, 127, 236737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368983285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -723, -1093, -1467, -1845, -2227, -2613?\nAnswer: -3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006765943.\nAnswer: 29, 1993, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = m - 2947, 4*h + 1704 + 12936 = 5*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 36162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) + 14\/(-8). Let z = t - -6. Solve -o - z = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**3 - 10036*d**2 - 221550 with respect to d.\nAnswer: -18*d**2 - 20072*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 <= -7293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 42525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 24*m + 8*m**2 - 1 - 1 - 3*m**2 in the form p*m**2 + q + k*m and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1026\/11 + -95. What is the common denominator of 32\/7 and m?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361274 by 1.\nAnswer: 361274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(v**11*v))*v*v))*v**9*v)**(2\/29) assuming v is positive.\nAnswer: v**(48\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*d*n**5*q + 3*d*n**2 - 20*d*q**2 + d*q + n**5*q**2 - 2*q**2 wrt n?\nAnswer: 1560*d*n**2*q + 60*n**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 + 11*k + 771. What is the remainder when s(0) is divided by 268?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/4)\/(3\/(-4)). Let x be (0 - 6\/(-4)) + 300\/(-120). Let z be 0\/(-3)*3\/(-6). What is the closest to -2 in z, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/9 + 596*m**4\/9 + 58802*m**3\/9 + 1880600*m**2\/9 - 3940000*m\/9 + 2000000\/9.\nAnswer: 2*(m - 1)**2*(m + 100)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9691 is divided by 4755?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 10:52 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*r + 239 = 874, 2*h - 3*r = 259. Let d = 124 - h. Solve -2*b + d = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 1. Let x be q(7). Suppose -2*s + f - x = 8, s = 3*f - 9. Let k = s - -27. Solve 3*g + k = -0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 6*b**2 - 6*b + 1. Let v be w(-5). Suppose 0 = -3*f + v*f - 660. What is f rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1709 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: Collect the terms in -6*o**2 + 0*o**2 + 1 - 7*o**2 - 7*o**2.\nAnswer: -20*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4573.704 years?\nAnswer: 54884.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1663, -6785, -15359, -27373, -42815, -61673, -83935?\nAnswer: -109589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/6*42\/(-28). Suppose -3*p + 2 = -m*p. Let z = 1353\/221 - 75\/13. Is p at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 556 + -556.00325. What is g rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*j - 1305 = 0, 0 = -4*j - 1 + 13. What is the greatest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 668*x - 1328.\nAnswer: -2*(x - 332)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -464 + 461.97. Let u = -0.7 - -0.73. Let b = r + u. Is b >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355 is divided by 164.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.5 (b) 41\/2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 18 - 14 - 1 + 5 - 3 + 2 - 4 + 1 + (-2 + 3 - 2)*(1 - 2 + 2) + 1 - 3 + 0)*(2*w - 5 + 4 - 1) in the form r + j*w and give j.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 70 - 80. Find a, given that -32*a - 3*a**3 - 8*a - 27*a + 6*a**r + 91*a = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6779.\nAnswer: 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v**3 + 7*v**2 - 28*v - 12. What is the units digit of i(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-21))**48 assuming k is positive.\nAnswer: k**(-1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/31))**(2\/11)\/((c*c**9*c*c)\/((c*(c**(-29)\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-14667\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (17920230\/1995)\/(2\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 1) + (-3 + 16)*1. Let g(j) = 7*j - 5 + q + 3*j**2 + 2*j**3 - 2 - 4*j. Determine g(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(-15*s + 191 - 33*s - 9*s + 51*s).\nAnswer: 18*s - 573","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**2 - 51*w**2 + 21*w**2 + 17*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9109399*w**2 + 9717741.\nAnswer: -18218798*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16002*g**3 + 32*g**2 + 2*g + 1 wrt g?\nAnswer: -96012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 116, 216, 326, 446?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 17, 4, -9, -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(16\/16*(-20)\/30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 8 = 3*u, 3*u + 31 = -3*d + 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 - -133. Sort -5, x, -3, -0.1 in ascending order.\nAnswer: x, -5, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16435, 3, -1\/2, -0.2 in descending order.\nAnswer: 3, 0, -0.2, -1\/2, -16435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20835685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 15977*l + 623077. Calculate u(-39).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 10530?\nAnswer: 105300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or -1035?\nAnswer: -1035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 7) to base 16\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - c**2 + 15*c + 251 - 253)*(-c + 5*c - 2*c).\nAnswer: -2*c**3 + 30*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((2\/4)\/1). Let o be (-4 + -2)\/(4\/6). Let c = o + 9. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 4, i: 1, o: 2, u: 7}. Give prob of sequence jl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6 - 2\/6. Is 111 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 168061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*p + 323*p + 13 = 3*c, -4*c - 44 = 10*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142644?\nAnswer: 2, 3, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1057.7 - 1056. Put 4, b, -1 in decreasing order.\nAnswer: 4, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from ynnbwybyyx?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {x: 1, c: 3, o: 3, h: 3, a: 2, s: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -0*h - 2*h. Let v = 118 + h. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*o + 18, -3*n = -2*o + 3*o - 19. Which is smaller: -0.096 or n?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -3)\/(-4) - -154. Let b(h) = -2*h**2 - 43*h - 51. Let o be b(-19). What is the greatest common divisor of o and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -18*t**2 + 3. Let w(y) = 12*y**2. What is f(w(j))?\nAnswer: -2592*j**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -106. What is the second derivative of -4 - 4*z + v*z**5 - 4*z**5 + 4 wrt z?\nAnswer: 520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + l. Let u be f(-5). Let w = u + 912\/7. Let y = 6 + -11. Which is the closest to w? (a) 5\/4 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 1, s: 1, a: 1, g: 5}. Give prob of sequence sgb.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-36))\/10*7\/(-14).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19610*l**3 + 6617*l**3 + 7553*l**3 - 19640*l**3.\nAnswer: -25080*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-10) - (24 - 23).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = -3, -2*c - 3*d = -2429. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190529928284 - 0.955.\nAnswer: -190529928284.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 5*r + 21, 0 = 4*r - 20. Let w = s - 2. Solve -w*i + 16 = -4*k, 5*k + 4*i = 4*k - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1056 + 2777. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1368939 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.75*58809.\nAnswer: 44106.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:42 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*a - 26 = 336, 5*d = -2*a + 454. Suppose d = 4*g - 0. Solve -x - 2*b = 2, -2*x + 4*b = -b - g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 333, 400, 515, 690?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (57 - (1 + -3))\/((-720)\/16) and -17\/185?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 10 = -4*c, -f + 57 = -4*c + 56 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/972 and 43\/54.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6734, 27298, 61572, 109556?\n\"Answer: 6855*c**2 - c - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54244297.5 rounded to the nearest one thousand?\nAnswer: 54244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/20 and -83\/1584544?\nAnswer: 7922720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*m + 8 - 82*m + 28*m + 27*m to the form g*m + z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21)\/((-7)\/(-49))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3027.\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 32 = -5*o, 0*o = -4*j - 3*o + 24. Let u(c) = c**2 - 3 + 4 - j. What are the prime factors of u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6576979 meters in nanometers?\nAnswer: 657697900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 6*h + 3. Let g be i(6). Suppose -3*c + 120 = -2*r, g*c - c - 80 = -5*r. Suppose -2*m - 2*m = -c. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 9. Let t be g(-6). Suppose 30 = t*r + 3*v, -2*r = -r + 4*v + 5. What is the greatest common factor of 6 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*w = -11, 5*i = 2*w - 6*w + 11. Let g be 1 - ((-5884)\/(-40) - i). Let l = -143 - g. Which is the second biggest value? (a) 5 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*((-16)\/136 - 94\/68)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2172346705, 2172346706, 2172346707, 2172346708, 2172346709, 2172346710?\nAnswer: 2172346711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 + 15*o**2 + 14*o = 0. What is o?\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa (base 11) to base 9.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/91)\/((-672)\/(-196))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awjnwwyywwwzjjyzjyw. What is prob of picking 1 y, 1 w, and 2 j?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = -4*v + 154, -2*n - 5*v = -159. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = 5*f + 413, 0 = -o - 2*f + 87. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k + 3. Determine a so that -a**2 + 3 - 3*a - 2 - k = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7527.05757 - -7527. Round u to 3 decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325531.\nAnswer: 31, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11669124 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/9 and -17\/9178.\nAnswer: 82602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5267802, 5267759, 5267684, 5267577, 5267438, 5267267?\n\"Answer: -16*l**2 + 5*l + 5267813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 9*l**2 + 8*l + 7. Is z(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -203\/4, -0.0273?\nAnswer: -0.0273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 24, -660, -2, 4 in decreasing order.\nAnswer: 24, 4, 0, -2, -4, -660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert d6dcd (base 16) to base 8.\nAnswer: 3266715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (0 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 691.1 and 0.3.\nAnswer: 691.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3 - 9195085*h**2 + 82755430*h - 128730560 = 0 for h.\nAnswer: 2, 7, 1839008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8178.198 milliseconds?\nAnswer: 0.1363033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*q + q + 3*q)*(q + q + 2*q) + 4*q**2 - 2*q**2 - q**2)*(-3*q + 3*q + 4*q)*(-5*q + 4*q + 0*q).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 7*q - 183 = -3*t - 3*q, -5*q = 0. Calculate the greatest common factor of t and 2379.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.1 (b) 12 (c) -3 (d) 7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -5, -72, -3.\nAnswer: -72, -5, -4, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52659.28 days?\nAnswer: 75829363.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 11*u + 3, -2*v + 2*u - 3538 = 0. Let o = v + 4671. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by ((-44)\/(-6) - 0)*9\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42450 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47345 divided by -2.\nAnswer: 47345\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.89 - 38. Let f = -0.89 + u. What is the closest to -1 in f, -0.2, -1\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/(v*v**5))**39*(v*v**(4\/7)*v*v)\/v**2*v\/v**(-3\/7)*v\/v**(-6) assuming v is positive.\nAnswer: v**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, -21, -103, -217, -363?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*q**2 - 3 + 489*q**2 - 414*q**2 + 3.\nAnswer: -330*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 25 = j, -5*r = -j - 10. Is 1\/65 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22002131233 (base 4) to base 15\nAnswer: 36eaaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a - 6. Let w(l) = l. Determine -i(p) + 4*w(p).\nAnswer: -4*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.4 - -36. Let p = f - -0.4. Let k = -22.1 - -26.1. Which is the closest to 2\/7? (a) k (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-37)\/(556850\/140)*(-5)\/2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 31968045*j. Let v(r) = -7*r**2. Give v(s(q)).\nAnswer: -7153691307854175*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5100.019 years in decades?\nAnswer: 510.0019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -87968*p**2 + 43983*p**2 + 43984*p**2. Let k(z) = 12*z + 95. Calculate k(j(n)).\nAnswer: -12*n**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/9 - 2*r**2\/3 + 4*r\/3 - 5. Determine k so that n(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*((sqrt(117) - (3 + (sqrt(117) - (sqrt(117) + 1*sqrt(117))))) + sqrt(117)) + -3)**2.\nAnswer: -1440*sqrt(13) + 17248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 2 = 32*r. Let f = 9 - r. What is the highest common factor of 40 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 4*m + 4. Let f be i(-6). Let k be (-15)\/25 - (-54)\/(-10). Let t = k - f. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (21 + -2 - 12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.16 - 3993.\nAnswer: -3971.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 22379\/19676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, c: 6}. What is prob of picking 3 c and 1 b?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/4 + 4*z**3\/3 - 2*z**2 + 3285. Let x(d) = 3*d**2 - 3*d - 1. Calculate -3*h(p) + 4*x(p).\nAnswer: 3*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 times 212?\nAnswer: -26500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*k + 14 + 3, 0 = p + 3*k + 4. Suppose -2*j = -4*o - 26, -j + 4*o = -p*j + 16. Solve j*u = -4*m + 2*u - 2, 0 = -4*m + u + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqq when three letters picked without replacement from qqqqqqqqqqqqqqqqpj?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*(-4)\/(-14))\/((-300)\/525). Factor -3\/4*g**2 + 9\/4*g - z.\nAnswer: -3*(g - 2)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26599053.0185 - 26745166. Let t = 146029 + o. Let g = t + 84. What is g rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose -5*b + 11 = -4. Suppose 5*a = -2*p - 33, -9 = -4*p + 3*a + 2*a. Put q, p, b in descending order.\nAnswer: b, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33179 is divided by 1442?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, h: 2, e: 1}. What is prob of sequence ez?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -12 + 7 - 13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/116 - -15161\/812. Which is greater: 20 or u?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -2*m**3\/3 + 3*m**2\/2 + 914*m. Let t(p) = 21*p - 16. Determine -11*s(x) - 2*t(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/10)\/((-18)\/135). Let l be (5 - n)\/(2\/(-892)). Suppose 0 = -2*f - 0*f + l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2306, 2302, 2298, 2294, 2290?\n\"Answer: -4*l + 2310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 3 = -s. Let r = -7 - s. Solve -p - 22 = 5*h, 5*p - 12 - 23 = r*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, p: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2124)\/1593)\/((-34)\/3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + 0.87. Let n = y - 1.37. Let v = n - -0.9. Round v to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 6*d**2 + 169*d + 644. Determine u(-4).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*x - 2. Let h be 9\/(18\/(-4)) + (-5)\/(-1). Let m(i) = -i**2 + 6*i - 4. Let o be m(h). Put 3, x, o, -4 in increasing order.\nAnswer: -4, x, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) -0.3 (b) 0.2 (c) 0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 50*x**2 + 166*x + 661. Determine k(-4).\nAnswer: 797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5076 or 0.0465?\nAnswer: -5076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4104 - 1471. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145998773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-6 - -1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n + 5. Let o(f) = -2*f - 4. Let s(y) = -5*a(y) - 6*o(y). Let r be s(-1). What is the second derivative of 8*i + 7*i - 16*i**r - 6*i wrt i?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799636964 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**3*s**5 - 12461*b**3*s**2 + 10835*b*s**5 - 7*s**2 wrt s?\nAnswer: -240*b**3*s**2 + 650100*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1624*u - 2*t = 1627*u + 6, 0 = -2*u + 4*t + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 215 = 103*q - 148 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/(-8))\/9*(-2)\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 - 2.6. Sort 0.5, 0, p, 2\/3.\nAnswer: p, 0, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-337 - 223 + 92)*(0 + 0 - 3*t) + (-4 + 1 + 5)*(-2*t + 3*t + t) + 2*t + 2 - 2 to the form b + i*t and give i.\nAnswer: 1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32709, -32695, -32667, -32619, -32545, -32439, -32295?\nAnswer: -32107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + d + 4*d - 293494*d**3.\nAnswer: -293494*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 724 - 6514\/9. Which is the second smallest value? (a) t (b) 2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r = 5*r. Solve 0 = -l - 5*d + 11, 5*l - 11 = -r*d - 3*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 25. Let s = -2832 - -2818. Does z = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 1332271?\nAnswer: -1332269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(36)\/sqrt(4))*-5.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 2058?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 71617, 286611, 644975, 1146709?\n\"Answer: 71685*o**2 - 61*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171921649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**6\/120 - g**5\/60 - 11*g**4\/24 - 12*g**2 - 2. List the prime factors of r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1614, 4763, 10126, 17703, 27494, 39499, 53718?\nAnswer: 70151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-2 + 0 + 3). Suppose 3*b - 102 = -4*l, -3 = -c*b + 1. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15398*v - 1. Let m(c) = -2*c**2. Calculate m(s(y)).\nAnswer: -474196808*y**2 + 61592*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11\/6 (b) -1\/2 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 366977 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 445102 + 2?\nAnswer: 445104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.111 - -0.889. What is the closest to 1 in 2, l, -3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 599 - 597. Solve 0 = 11*o - q*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 - -10.09. Let m = g - 11. Let b be ((-12)\/10)\/(-3)*1. What is the closest to m in -2\/5, 5\/3, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 319528254 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 7050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 35 = -5*g, 3*g + 1 = 4 - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 362?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3412 times 155.061\nAnswer: 529068.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47567392 divided by 383608.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 13 + -83 + 86?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = -0*b + 3*b, b + 5*w - 21 = 0. Suppose -z = h - b - 1, -5*z = h - 2. Calculate the highest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t = 27*t. Suppose 4*s + 5*y - 640 = -t*s, s - 4*y = 160. Does 40 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(1 - 6) + (-46)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c. Let q(f) = -9*f + 1. Let n = -477 + 482. Determine n*x(r) + 3*q(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2584\/(-238))\/(2\/(-28)). Find the second derivative of h*p**2 - 28*p + 0*p - 3 - 12*p - 39*p**2 + 6*p wrt p.\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2322*d + 255*d - 687*d + 1508*d.\nAnswer: 3398*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6*o + 714 = 0. Let c = -93 + o. Suppose 7 + c = b. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -265677345 - 5?\nAnswer: -265677352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122918?\nAnswer: 2, 41, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041747 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 66383.5 (b) -3\/4 (c) 3\/7 (d) 0.06 (e) -1\/6 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -722574584 take away 1780?\nAnswer: -722576364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28100183?\nAnswer: 19, 1478957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*l + 360, 5*l - l = -3*d + 563. Is 185 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3011 + 5?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-368)\/(-64) - 3\/4. Suppose -22*l + 6 = -38. Solve i + l*q - 5 = q, 4*i - q = y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15722.2 - 15722. What is the nearest to -6 in v, 1.9, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -0.64. Let s be (-2*(-9)\/(-60))\/((-96)\/(-64)). Sort s, k, 0.5, 2 in descending order.\nAnswer: 2, k, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**2. Let i(b) = -b**2 - 7*b - 9. Let y be i(-7). Let q(c) = -c - 7. Let l be q(y). Let z(f) = 44*f - 44*f + f**l. Give z(m(o)).\nAnswer: 49*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-28)*(-2)\/3*5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**2*j**3 + 3266420*b**2*j**2 + 6*b*j**3 - 352*j**3 wrt j?\nAnswer: -36*b**2 + 36*b - 2112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50\/63 + -3895\/252. What is the common denominator of -1\/8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 - 4*k + 1. Let x(g) = -3*g**2 + 3*g. Let h(z) = -2*u(z) - 3*x(z). Determine c so that h(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 65 = -w, w = 522*h - 519*h - 2 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 17*y = -5*k + 72, 2*k = y + 9. What is the remainder when 514 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 + 2*r**2 - 3*r**3 - 2*r**3 + 3*r to q + s*r**3 + o*r**2 + n*r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/7, -868, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 3*l**2\/2 + 13*l - 16. Let h be p(-3). Suppose h*v + 5*m - 366 - 39 = 0, -v + 4*m = -96. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7 - -13 - (1 - -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (700\/355 - 2) + 86350\/(-100323)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2\/18 - -12*21\/(-81)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 1405*c - 30048. Calculate i(-21).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(2\/((((-32)\/(-2))\/(-4))\/(-4)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iipppipppp. Give prob of sequence ipi.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**2 + 7*d - 1. Let o(m) = -10*m**2 + 10*m - 2. Let b be (56\/(-20))\/((-7 - (-272)\/40)*-2). What is b*v(r) + 5*o(r)?\nAnswer: -r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*((sqrt(3) - (sqrt(48) + -3)) + 1) - ((sqrt(363) + 0)*-4 + (sqrt(363) + 1)*6))**2.\nAnswer: -224*sqrt(3) + 4712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*v + 114*v - v**3 + 1 - v**2 + 5*v**3 - 58*v to f*v + i*v**2 + q + a*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 - h**4 + 0*h**3 + (5*h - 3*h + 2*h)*(-2*h**3 + 4*h**3 - h**3) + 0*h**2 - h**4 + 0*h**2.\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.1 (c) -79 (d) -4\/3 (e) 2\/3 (f) 21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.42939 to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**3 + i**2 - 2*i - 3. Let b be k(-1). Suppose -b*o + 1777 = -2095. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -v - 5*p + 10, 2*v + 3*p + 26 = 4*p + 24 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 32, 26, 14, -4, -28?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3035, -9, -2\/23?\nAnswer: -3035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -120 and -124 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 1. Let j be a(2). Let z(p) be the first derivative of -8\/9*p + 20\/9*p**2 - 50\/27*p**j + 2. Find x such that z(x) = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 4. Suppose -2*g = 3*g + 5*s + 15, -s = -g - 5. What is b(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5 (c) -4 (d) 0.5 (e) 441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3368*o + 8. Let g be (-2)\/(2\/15 - 308\/1485). Suppose -5*k = -z + g, -5*k - 3*z = -5*z + 24. Let a be l(k). What is a rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1573) + sqrt(1573) + -1)**2 - (sqrt(13) - 3*sqrt(26)\/sqrt(2))) + (-1*sqrt(1573) + 1)*2.\nAnswer: -64*sqrt(13) + 6294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -25, 2, 2.5, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Let w be 8\/(-3) - f\/12. Let q(y) = y**3 + 3*y**2 - 4*y - 4. Let u be q(-4). Is u greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14*(m\/(m*m**(-2\/9)))\/m)**6 assuming m is positive.\nAnswer: m**(238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -1, -3202 in ascending order.\nAnswer: -3202, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3\/5 (b) -0.2 (c) -2478 (d) 5\/7 (e) 4 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -19. Let g be (j\/(-6))\/((-1)\/(-195)). Suppose -25 - g = -2*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c*h - 9217*c + 39312*h - 1 wrt c?\nAnswer: -4*h - 9217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.318 days to milliseconds.\nAnswer: 9963475200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*h = 245*h + d - 13, 2*h - 4*d + 12 = 0. What is the smallest common multiple of h and 813?\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 1. Let x(s) = s - 1. Let m(j) = -t(j) - x(j). Let o(c) = c. Give o(m(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:21 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 57, -8, -2, 299 in decreasing order.\nAnswer: 299, 57, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69, -15, -221, -603, -1215, -2111, -3345, -4971?\n\"Answer: -9*j**3 - 7*j**2 + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8433 by 9.\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f**2 - 5*f - 20. Let g = 242 - 171. Calculate the remainder when g is divided by d(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1 + -3 + 25. Let g = j + -19. Factor 2\/3*v**3 + 0 + 4\/3*v**4 + 0*v + 2\/3*v**5 + 0*v**g.\nAnswer: 2*v**3*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -61*p - 481. What is i(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 61. Let b(m) = -m + 21. Let v(h) = -17*b(h) - 6*l(h). Let n(d) = 0*d + 3 - d - 4. Let i(p) = n(p) + v(p). Determine i(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**3 + 2*c**2 - 1. Let o be 1\/(1\/2) + -1. Let l be 2\/(-5)*-5 - 2. Let g = l - o. What is t(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qar when three letters picked without replacement from {q: 7, e: 1, a: 4, r: 1}?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(20\/7)*f\/f**(-2\/19)*f*f*f**(-4\/5)*f assuming f is positive.\nAnswer: f**(5998\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 57, -4, -111 in descending order.\nAnswer: 57, 0.2, -3, -4, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b9 - 8ba?\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxxs when four letters picked without replacement from jusjxuuuuusuuxuuujs?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - -1) - (-49 + 24 + -60 + 27)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w\/w**(-9)*w))**(-1\/4)\/(w**(-9)*w**(-2\/21)) assuming w is positive.\nAnswer: w**(487\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*sqrt(2736)*-2.\nAnswer: -432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -1, -3 in ascending order.\nAnswer: -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + f + 47 = 0, 18*f + 9 = 15*f. What is the remainder when (-55)\/(-3) + (-2)\/6 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -594248 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 51. Let n = q - 10. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/(-1))\/(9\/12). Is (1068\/t)\/(12\/10)*12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 11. Let h be r(5). Let b be (-154 - 1) + 3\/(-3). Let q = -1400\/9 - b. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**3\/3 + 3*c**2 - 2*c - 1. Let h(b) = b**2 - 11*b + 6. Let i be h(11). Let y be -1 + 8 - (i - 3). Give l(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*w - 105*w = -2*q - 20, 0 = 2*w - q - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3300*f**3 + 5*f**2 + 188*f + 10. Let d(c) = -1650*c**3 - 3*c**2 - 87*c - 6. Let b(r) = 5*d(r) + 3*n(r). Find the second derivative of b(m) wrt m.\nAnswer: 9900*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -38*y**2 - y + 1. Let x be i(1). Let o be (-4)\/22 - x\/88. Which is the nearest to -0.1? (a) o (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*f, 0 = -w - 2*f + 1 + 11. What is the remainder when 101 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 9, 78 in increasing order.\nAnswer: -2, 4, 9, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 572. Let a(w) = w + 280. What is -13*a(d) - 6*t(d)?\nAnswer: -d - 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59\/2 + -30. Let x = -0.8 + 1.4. Let p = x + -2.6. What is the closest to 0 in -3\/4, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 k when four letters picked without replacement from kkzzzzkkzzkkkz?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - d + 1. Let l be w(2). Suppose -2*v - l = -3*v. Find the second derivative of 0*g**4 - 4*g**4 - v*g + 20*g wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g - 2. Let b be w(3). Suppose -4*t = -7*t + 213. Suppose -t = -k + b. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -573000 - 5?\nAnswer: -573005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -2\/5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, d: 4, r: 7}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 3*r**6\/20 + r**5\/20 + r**4\/6 - r**3\/2 - 57*r**2. Let o be p(3). Round o to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 - 27*v - 233. Determine j(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12344 (base 9) in base 15?\nAnswer: 26d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.67 + -285.33. Let w = 286.000119 + x. Round w to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {e: 19, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480600 and 1068000.\nAnswer: 9612000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106242520?\nAnswer: 2, 5, 3581, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 337 = 68. Which is bigger: s or -82?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*y - 29*y + 128. Let s = 34 - y. Suppose 0 = s*h + 3*l + l - 2, -3*h = 2*l + 5. Is h equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - i - 9. What is the tens digit of g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -5*m + 10*m. Suppose 1 = 2*z - 13. Suppose 0 = -3*i - d + z, 5*d - 3 = -2*i + 4*d. Solve 9*u - b = i*u - m, 4*b = 3*u + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 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: 0.1*26459\nAnswer: 2645.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1215*o**3 - 43*o - 1214*o**3 + 169*o - o**2 + 2 to the form c + g*o + v*o**2 + b*o**3 and give g.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7771 - -a9b1?\nAnswer: 3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-11 - 0)) + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 - -1.15. Is 2\/13 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0 - 2 - 3)*(5*l - 9*l + 17*l) in the form d + x*l and give x.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -356 equal to 0.379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.959 - 0.041. Let z be (282\/(-1645))\/(4\/(-150)). Which is the biggest value? (a) f (b) z (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 6. Suppose -m = c - 5*m + 24, 2*c - 4*m = -28. Let z be s(c). Let u = 1 - z. Which is bigger: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 546534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -62413?\nAnswer: -6240f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 6*u**2 - 7*u + 7. Let r be t(5). Let v = -52 - -121. Suppose -65*k = -v*k - 28. Sort -4, k, r in decreasing order.\nAnswer: r, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*g - 5, 5*a + 8 = -0*g - 3*g. Let p be (-2 - 1*-8) + g. Suppose -p*h = -43 - 22. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*u)*(2*u - 2*u**2 - 2*u) + 2 - 2 - 2*u**3)*(-6 - 3 + 0).\nAnswer: 54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 5962\/88)*2\/(-20)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.7 - -14.6. What is the third smallest value in 2, d, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 634*v*y**3 - 2457*y**3 with respect to v.\nAnswer: 634*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607989579?\nAnswer: 3, 202663193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -14. Let o(v) = -v**2 + 5*v + a + 1 - 5. Let c = -8 - -11. Determine o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.1, 5, 208, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {v: 1, r: 1, w: 1, d: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 401772779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o + 395 = s, 3*o = -2*s + 777. Suppose -s = -0*z - 3*z. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90499997 = 5*k - 3*j, -4*k + 13144377 - 85544381 = 4*j. Round k to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 121148 = 38522. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2 - 39*k - k**4 - 16*k - 11*k**4 + 16*k**4 wrt k.\nAnswer: 48*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 70*n**3 + 300*n**2 - 520*n + 320.\nAnswer: 5*(n - 8)*(n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9807\/37 + -265. Let s be (-21)\/1617*21 - 64\/(-33). Let d = -1075\/6 - -179. Sort s, d, r in increasing order.\nAnswer: d, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43470*l**6 - 23*l**2 + 33*l + 17.\nAnswer: 5216400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 871 + -584. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170698 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.28518457 less than -57?\nAnswer: -67.28518457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2358776 (base 9) in base 10?\nAnswer: -1279302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36868376 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - t = 4*t + 29, -5*c - 2*t + 10 = 0. Let k = 5.4 - 5. Let w be (-5)\/(-3*(-80)\/144). What is the closest to -1 in c, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3*(-66)\/4. Let p = -10 + b. Calculate the highest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, t: 9, c: 2}. Give prob of sequence ttyy.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3642*l**2. Let w(p) = 1123*p. Calculate d(w(i)).\nAnswer: 4593031818*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 9*n + 25. Suppose 4*s - 63 = 3*r, 2*r + s + 48 = -r. Is m(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 + 127. Let c be 1640\/25 + 2\/5. Suppose c = -3*s + l*s. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6322936\/11 or -574812?\nAnswer: -574812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 120, 130, 146, 168?\n\"Answer: 3*x**2 + x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 26683 in descending order.\nAnswer: 26683, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**7\/735 + 4*n**6\/105 - 32*n**5\/105 - 47*n**2. Factor k(t).\nAnswer: -2*t**2*(t - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8 - 1. Let w = k - 0.5. Let h be (1 - 3)*(2 - -9)\/44. Which is the third smallest value? (a) -5 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12148914 by -12148914.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = 3. Let b = -1.95 + -0.05. Let o = -138 + 143. Put o, p, b in descending order.\nAnswer: o, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 12*j**2 - 21*j - 38. Determine b(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*b**3 - 60*b**3 + 476*b**3 + 208*b**3 + 290*b**3.\nAnswer: 664*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q = 30. What are the prime factors of (-158)\/(-7) + q\/(-70)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1740 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8785*i - 316264. Determine m(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - 56. Let m = p - -48. Calculate the common denominator of -1\/2 and 286\/m - (7 + -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*y)*(5*y**2 - 5*y**2 - 4*y**2).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-1 + 3)\/2. Let x = 6 - 0. Suppose x*u - 17 = -q + 3*u, -2*u = -8. Solve -v*s - 6 = a, a + 13 = -4*s + q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v + 3*j - 23154, 3*v - 69392 = 5*j. Suppose -7689 = -w - 5*n, -3*w - 28*n + 31*n + v = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9342.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*i + 2, 3*q + 3*i + 4 = 1. Let a be (-4)\/((6 - 4) + -4). Suppose q = -2*r - a*r + 140. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2704090*p**4 + 3448956*p wrt p?\nAnswer: -32449080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*f**3*s**2 - 3*f**3*s + 4*f*s**4 + 3*f*s wrt s.\nAnswer: 52*f**3 + 48*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36070.9 times -0.3\nAnswer: -10821.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.265482ug?\nAnswer: 0.002265482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -2. Suppose f - 3 = w + 5, 4*w + 20 = f. Let s be f\/(-3)*207\/184. Which is the smallest value? (a) 0.2 (b) s (c) x (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5))\/(y**(-14)\/y) assuming y is positive.\nAnswer: y**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1632 = -f, -158 - 250 = -c + 2*f. What are the prime factors of c?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*r**4*y**2 - 302*r**4 - r**3*y + 30*r**2*y**2 + 2*y**2 - 75 wrt r.\nAnswer: 504*r*y**2 - 7248*r - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -111*s - 1. Let k(n) = 2538518*n. What is k(m(q))?\nAnswer: -281775498*q - 2538518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 96, 65, 36, 9, -16, -39?\n\"Answer: w**2 - 34*w + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -7 - ((-5 - 17) + -3). Let c(u) = -u**3 + u**2 + 7*u + 5. Let k be c(-5). What is the highest common divisor of k and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 11. Let c be b(-8). What is the closest to -1 in -2, c, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 20 = -4*h. Let g be h + ((-2)\/2)\/1. Solve w = 1 + g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1042 + 923 = 3*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba223a6 + b?\nAnswer: ba223b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -40. Let x = 6 - 9. What is the third biggest value in x, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/((-5152)\/106) + 332\/(-2656) and -25\/276.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44014285 is divided by 5535.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-8) - 5)*((-596)\/28 - -21).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g - 38 = 5*i, 5*i + 44 = -2*g. Let n(j) = 8*j - 43 - 5*j + j**2 + 6*j + 36. Calculate n(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 36. Let g(w) be the second derivative of -w**6\/360 + 7*w**5\/120 - 7*w**4\/12 - 4*w. Let s(d) be the third derivative of g(d). Give s(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*z - 3 = 0, -2*i - 5*z + 127 = 120 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/56 and -13\/35301.\nAnswer: 282408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6593848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1625, -2, 5, 10 in decreasing order.\nAnswer: 1625, 10, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4588.73 times -31\nAnswer: -142250.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3 + (1 + sqrt(72))**2 - sqrt(72))*6 + (sqrt(50) + sqrt(2))**2*-1 + ((sqrt(6)*-3)\/sqrt(3))**2.\nAnswer: 36*sqrt(2) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206 + 7*f - 70 - 64 - 66 to the form v*f + s and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/9324 and 9\/2590.\nAnswer: 46620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 170397 divided by -9?\nAnswer: -18933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81590 by -199.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-3\/13)*((s*s**(-10))\/s)\/s*s\/(s\/(s\/s**1))*s\/(s\/(s**(2\/3)*s)*s)*s*s*s*s assuming s is positive.\nAnswer: s**(-217\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -853870.5 - -3\nAnswer: -853867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1 - 34?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 4:52 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -631 (base 10) to base 4\nAnswer: -21313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-74)\/(-6) - 1\/3. Solve 0 = -4*t + t + 2*q - v, -2*t - 4*q = -8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**2. Let q = 141 - 127. What is the least common multiple of m(2) and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 11*x + 8*x = 22, 5*g + 4*x = -28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d - 72*d - x = -56915, 0 = 5*d - 4*x - 142281. What are the prime factors of d?\nAnswer: 11, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -2, 4, 14 in descending order.\nAnswer: 14, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-35))\/((-2)\/(-20)). Suppose 0 = 5*h - h - x. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (98 - 54) - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1756, 1759, 1762, 1765, 1768, 1771?\n\"Answer: 3*m + 1753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*r + 2, -j - 5*r - 3 + 4 = 0. What is the third biggest value in j, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:06 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -651 + 915. Let s(v) = -v + 26*v**2 - j + 264 - 8*v**2. Determine s(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1700)*-4 + sqrt(1700) + -4)*2)**2.\nAnswer: 8640*sqrt(17) + 551376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aww when three letters picked without replacement from awwwawaw.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1400.4 + -1400. Let g = -0.3 + 1.3. What is the nearest to g in 0.1, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 11) in base 4?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {j: 2, v: 4, q: 4, l: 9}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34562.6 rounded to the nearest one hundred?\nAnswer: -34600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 greater than or equal to 775763\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 47\/19975*-5515\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 5, -0.5, 7\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2566043275.\nAnswer: 5, 43, 2387017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-172)\/258)\/((-26)\/(-1911)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, x: 1, a: 4, n: 5, d: 2, u: 4}. What is prob of sequence annd?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 - 3476*c**2 + 17418*c - 20916 = 0. Calculate c.\nAnswer: -1743, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 246 (base 8) to base 16\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -1\/7 (c) 2\/19 (d) -0.2 (e) 0.18 (f) 98 (g) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*f + 5, 7*f + 24 = -5*v + 11*f. Suppose -h + 4 = -22. What is the units digit of (-632)\/(-52) + v\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*46\/18)\/(122\/549)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5 - 1002*i**4 + 22134*i**3 + 109370*i**2 - 130500*i = 0. What is i?\nAnswer: -522, -5, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.8 and -0.4993684.\nAnswer: 0.3006316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 11*s**3\/3 + s**2\/2 - 2*s + 3. List the prime factors of o(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630077 and 40831.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 132946?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 312\/5*i - 2\/5*i**2 + 0.\nAnswer: -2*i*(i - 156)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561585757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 528, 2080, 4686, 8364, 13132, 19008, 26010, 34156?\nAnswer: 43464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, and 1 v when three letters picked without replacement from {v: 2, q: 4, i: 1, f: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 6*k - 83. Let c be q(-12). Is c greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -4 + 6 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5776 is divided by 1919?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 7*x**2 + x. Let k be v(7). Suppose 2*m + 15 = k*m. Let -18*y**2 - 1 - 132*y**2 - 30*y - 1 - 250*y**m = 0. What is y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-15) + 29\/(-60))*-2. Let g be 3\/(1 + 1\/2). Let i = 8660 + -8659.5. Which is the nearest to g? (a) i (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*p - 89*p = -2*z + 4, 3*z = 4*p - 424 + 395 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 - -123. Solve i - 5*i = -j - 10, 5*i = 3*j + p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11) + -1)*-1.\nAnswer: 1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092428 divided by -4?\nAnswer: -523107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n + 47685 - 118189. Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/11 - 32632*f**3\/11 - 199658892*f**2\/11 - 542939080312*f\/11 - 553662127148162\/11.\nAnswer: -2*(f + 4079)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27514.\nAnswer: 2, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j + 12. Calculate x(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-3 - 1) - ((-4)\/(-3) + -3). Let l(c) be the first derivative of -16*c**2 + b*c**3 + 11 + 8*c. Factor l(g).\nAnswer: 2*(g - 2)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -6) + 2\/((-6)\/105). Let v = r - -131. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q. Let h(l) be the first derivative of 3*l**2\/2 - 1. Determine x(h(u)).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63784*q + 63180*q + 21140 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Suppose -8 = -4*x - 24. Let h be 2*(6\/x)\/3. Give p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 26*t - 20. Let k be z(12). List the prime factors of (-69*k\/16)\/((-4)\/192).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23557136 and -23557136 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 23482, 178\/5, -1\/6 in increasing order.\nAnswer: -1\/6, 178\/5, 23482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-114*1))\/((-11)\/(-220)*10)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 466.0336 hours?\nAnswer: 1677720960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - sqrt(325)*-1) + 0 + (sqrt(117) + sqrt(117)*-1)**2 + sqrt(117) + -5 + 2.\nAnswer: -3 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r - 167 = 133 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*g + 328*g - 767*g.\nAnswer: 53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 701.1 or -2074?\nAnswer: 701.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyyt. Give prob of picking 2 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1053186, -1053188, -1053206, -1053246, -1053314, -1053416?\nAnswer: -1053558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52778401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**4\/4 - 9*w**3\/2 - 41*w**2. Let l be n(5). Solve l*q + 0*y + 3 = 3*y, 0 = -3*q + y - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12522 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*t - 5*t = 0, 2*r = -2*t. Solve -2*n - 3*n = r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -926 divided by 40\nAnswer: -463\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-74)*(-11)\/5*4. Let k = v + -9431\/7770. Calculate the common denominator of k and -91\/22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12618 or -12617?\nAnswer: -12617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - 567\/(-72)) + (-8142)\/16. Let d = h + 509. Factor 2\/7*l**3 - 2\/7*l**2 + d + 0*l.\nAnswer: 2*l**2*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + 32. Let w be 231\/i - (-4)\/14. What is the derivative of 3 - w*u**4 + 12*u**4 + 3 wrt u?\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.3. Let y = -1.1 - -5.1. Let l = -145\/3 - -48. Which is the second biggest value? (a) l (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457439.\nAnswer: 61, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 141, 403, 789, 1299, 1933, 2691?\nAnswer: 3573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/42)\/(-33 - 6985\/(-220)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.94 + 1.02. Let g = l + -0.87. Round g to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/5 + 40324*s + 2016700 = 0 for s.\nAnswer: -50, 201670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*d + 334*d - 40515 + 3955 = 0 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-10)*(r**(5\/6)\/r)\/(r\/r**(-9)) assuming r is positive.\nAnswer: r**(-121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -285117046, -570234094, -855351142, -1140468190, -1425585238?\n\"Answer: -285117048*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.97 * -5.\nAnswer: 164.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/37, 6\/7, -2\/5 in descending order.\nAnswer: 6\/7, -8\/37, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9\/5 (b) 0.5 (c) -0.045 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -690, -758, -936, -1278, -1838, -2670, -3828, -5366?\n\"Answer: -9*j**3 - j**2 - 2*j - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*b + 44 = 0, 25 + 15 = l - 5*b. What is the remainder when 123 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.95 + 0.05. Which is bigger: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/814*-44)\/98*14\/(-24)?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-1409861\nAnswer: -1268874.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7703020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -n + 2*c + 125, -6 = -3*c. Let j be 662\/16 + 15\/(-40). Calculate the highest common factor of n and j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97302095 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -84.6, 0.2, -1345, 2\/7, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1328 (b) 0.3 (c) -0.4 (d) 7\/8 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffyuyyyzz. What is prob of sequence zuff?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 16*m = 13*m + 4*m. Determine z, given that 2\/7*z**2 + m + 0*z - 2\/7*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 98 = 7*j. Which is the nearest to j? (a) 1\/8 (b) 3\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 2. Suppose a - 26 = -3*a - 5*j, 0 = k*a + j - 10. What is the second smallest value in a, -0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/((l*l**(-6))\/l)*l)\/l))\/(l*l**(-5)*l))**(6\/23) assuming l is positive.\nAnswer: l**(-18\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y**2 + y**3 - 8 - 5 + 79042*y - 79051*y. What is z(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3.7382 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(72)*-1 + sqrt(72) + sqrt(72) + sqrt(72))*2 - (-2*sqrt(72) - sqrt(72))*-6)**2.\nAnswer: 14111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 14*y - 4*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 146. What is the closest to 0 in z, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2496 divided by -2496.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 + -48. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*x**6 + 2*k*x**3 - 18*k*x - 10*k - 409*x**6 - 2*x**2 wrt x.\nAnswer: 120*k*x**3 + 12*k - 49080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 127?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23077944 is divided by 20999?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 - (-50)\/18. Suppose -3 = -5*q + 12. Let v = q - 0. Solve -v*c + 12 = -3*w, 2*w - 3 - 4 = -a*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {r: 9, f: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/2)\/(((f**(-1\/3)\/f)\/f)\/f*f)*(f**(-6)\/f)\/(f\/(f\/(f**1\/f)*f)*f)*(f\/(f**2*f)*f*f*f**(-8\/5)*f)**(2\/5) assuming f is positive.\nAnswer: f**(-811\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.048133 + -184\nAnswer: -183.951867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908505.\nAnswer: 3, 5, 13, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-2) + (-14 - 210\/(-12)). Let u(w) = w**3 - 11*w**2 - 15*w + 38. Give u(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/5919 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338 and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-15))**(4\/11))**(1\/7) assuming k is positive.\nAnswer: k**(-60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6*w*w)\/(w\/w**(2\/3)*w))\/(w**(-3\/7)*w*w*w\/(((w\/w**(2\/13))\/w)\/w)) assuming w is positive.\nAnswer: w**(803\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5698, -46485, -157202, -372817, -728298?\nAnswer: -1258613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from ihiihhhiwhhhhihhhhd.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12680 is divided by 397.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 3. Suppose 4*h = 12 - 48. Determine i(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -3032?\nAnswer: -3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -613662 divided by -32298?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/((-88)\/(-16)) - 2\/(-2). Let l(n) = 10*n**3 + n**2 + n + 1. Calculate l(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 8*k**4 - k)*(-28 - 45 - 149) to i*k + x*k**2 + s*k**4 + h + p*k**3 and give s.\nAnswer: -1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22253*o**3 + 3016 wrt o?\nAnswer: 66759*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14442 divided by 4814\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 37955*n**2 + 227595*n - 341325.\nAnswer: 5*(n - 7585)*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -4\/7 (b) 58 (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**6\/120 - 11*h**5\/60 - 5*h**4\/3 - 14*h**3\/3 - 131*h**2. Factor x(w).\nAnswer: (w - 14)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/2 + 88611672*s - 1308671402439264.\nAnswer: -3*(s - 29537224)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + 37\/(1 - 0) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*t - 7*m + 13*t**3 + 1 wrt t.\nAnswer: -2*m + 39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvszczcvrrcrzssc. Give prob of sequence cccc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 18*h**2 - 3. Let n(c) = c**3 + 9*c**2 + 18*c + 8. Let f be n(-5). Give m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 15*j**2 - 51*j - 13. Let v be b(-10). Suppose -2*g + 30 = 3*g. Sort -2, g, v.\nAnswer: v, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*d + 174, 2*z + 4*d - 1 = 115. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -418995 and 2.1189.\nAnswer: -418992.8811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 34100640 divided by 85\nAnswer: 401184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129*q**4 + 222*q**4 - 123*q**4 + (2*q**2 - 4*q**2 + q**2)*(0 - q + 0)*(-3*q - 2*q + q).\nAnswer: -34*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/r**3)*r**(1\/3)*r assuming r is positive.\nAnswer: r**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 44 = -i - 3*i, -4*d = 2*i - 16. Suppose 318 = 2*n - i. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 3*n + 39. Suppose -28 = -4*q - 4*y, 0 = 4*q + 3*y - 10 - 11. Give i(q).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 39*g**4 - 2*g**3 - 3 - 10*g**4 - 2*g**2 + 0*g**4 to the form a*g**4 + m*g**2 + t*g + u + z*g**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.04, -0.1, 1.2, 2\/7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2807486mm?\nAnswer: 0.02807486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2834, 5675, 8518, 11363?\n\"Answer: w**2 + 2838*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let v = -3 + u. Which is bigger: v or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 <= -0.317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2075, 4.\nAnswer: -2075, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 - 98.21. What is c rounded to two dps?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by (((-261)\/(-6))\/(-1))\/((-50)\/100)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60547 + 13*f**2 + 45*f + 4*f**2 + 60547.\nAnswer: 17*f**2 + 45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*j - 214*j = -5*k + 8, 0 = 15*j - 2*k - 43. Find z such that -26\/9*z - 1 - 8\/3*z**2 - 2\/3*z**j + 1\/9*z**4 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 11:36 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69090\/420*(-16)\/(-56).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = 21*p + 24. Suppose -p*g - 13000008 = 4*h - 6*h, 3*g = -4*h + 25999994. What is h rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65645\/173217 + -2\/5973. Let k = 977\/312 + -10\/39. What is the common denominator of k and x?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxlxxxx. Give prob of picking 2 x.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6. Suppose 3*n + 3 - 15 = p. Find the third derivative of -26*q**6 - 5*q**2 + 35*q**6 - n*q**2 wrt q.\nAnswer: 1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 44\/24 + (5 - 70\/12). Let x(n) = -1 + 6*n + 7*n + n. What is the units digit of x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v + 2 - 2*v)*(-4*v + 0*v + 2*v)*(8 - 3 - 1)*(5*v - v - 2*v).\nAnswer: -16*v**3 - 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1148 divided by 41\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v - 4*v + v)*(4 - 6 + 7) in the form c + k*v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 767 and 9360.\nAnswer: 552240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83987 = 11*q - 233466. What is the greatest common divisor of 107 and q?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from qqsdbtttfsq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (5*(sqrt(1539) + (sqrt(1539) - (sqrt(1539) + sqrt(1539)*-4))))**2) + sqrt(1539).\nAnswer: -961875 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3960.395 kilograms?\nAnswer: 3960395000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-97)\/(42680\/(-240)) - (142\/99 + -1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*s + r, 0*s - 25 = 5*s - 5*r. Let g be s - 66\/(-14) - (-87 + 91). What is the fourth smallest value in 14, -1, g, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*d = -108*d - 34680. Calculate the remainder when d is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 35642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -43.1. Let a = -137\/3 - -1775\/39. What is the nearest to 1 in a, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/1672800 and 73\/12240?\nAnswer: 5018400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 = -15. Let l(y) = -2*y**2 - 13*y - 12. Let o(n) = -n**2 - 6*n - 6. Let m(c) = 2*l(c) - 5*o(c). Is m(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5389 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.835 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6522 and -23\/10?\nAnswer: 32610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*s - 47 = 0, -18 = 3*s - 3. Let k = z - -7. Sort 0, -5, k.\nAnswer: -5, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44819308?\nAnswer: 2, 653, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from jjjwjoujjvvjtu?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by 3?\nAnswer: -110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 9. Let k be z(-5). Suppose -49 = k*f + 5. What are the prime factors of (-3)\/f*-1 + (-275)\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Let a = -3 + l. Let m(g) = -3*g**3 - 3*g**2 + 3*g + 1. What is the remainder when m(a) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/100 and 1468\/(-5720) - 42\/231.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -75*y - 180. Let f(l) = 68*l + 165. Let m(o) = -10*a(o) - 11*f(o). Let q(w) = -w**2 - 9*w - 6. Let g be q(-7). Give m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 76 and -0.870961322.\nAnswer: 75.129038678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/185 + -539\/370. Which is the nearest to q? (a) 0.053 (b) 0 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-4)\/(-40)). Suppose 3*a - 15 = i*j + 10, -j = -4*a + 5. Solve c + a*u - 12 = -2*u, 0 = 5*c - 2*u - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7 (b) -4 (c) -2\/19 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678 + 132 = 5*l + w, 648 = 4*l - 3*w. Suppose -l = -y - 5*y. What is the highest common factor of 216 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = -0*q. Let k be (-1 - 0) + 3*-1. Which is the second smallest value? (a) k (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28653991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgclhlgzolgglglzcccc. What is prob of picking 1 h and 2 l?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*x = -672, -2*n - x - 460 = 3*x. Let c = -79 - n. Find the second derivative of v**2 - 4*v**2 - 150*v + c*v wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d9b (base 15) in base 9?\nAnswer: 8752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -292*l + 286*l. Calculate the remainder when l is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0*l**3 + 3*l**2 - 1\/18*l**4 - 37*l + 0. Factor y(i).\nAnswer: -2*(i - 3)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/6)\/(50\/15) + 0. Let -m + 32\/5*u**2 + 18\/5*u**3 + 2*u = 0. What is u?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 12537786.\nAnswer: 5\/2089631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*y + y. Suppose 4*v - 5*u + 1 = 6, -2*u - 4 = -2*v. Let n(p) = 3*p + v - p + p. Give n(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(550) - ((sqrt(550) - (sqrt(550) + 1*sqrt(550) + sqrt(550)) - sqrt(550)) + sqrt(550))*5)\/sqrt(10))\/((sqrt(11) - (1*sqrt(275) - sqrt(275)))*-6).\nAnswer: -11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 - 99*l**2 + 100*l - 132. Let r be x(32). Let b(j) = 12*j. Let s(i) be the first derivative of i**2\/2 - 1. Give r*s(k) + b(k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2)*i*i)\/(i\/(i\/(i*i**(2\/3)*i*i)))*i*i\/i**(2\/13)*i*i**(2\/23)*i)**(-23) assuming i is positive.\nAnswer: i**(-1136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 1)*((-1)\/(-2) + -1). Suppose -3*q = 5*v - 991, 5*q - 3*v + v - 1631 = j. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.3. Let w = 0 - f. Let c = 2635 + -2635.4. What is the closest to 2 in c, w, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 359432 and 3938?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 3?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -814 by 22.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 6. Let z be l(-8). What is the nearest to z in -5, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1)\/2*2*-8 and (-8)\/10*(-34 + 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34952 + -17314. List the prime factors of t.\nAnswer: 2, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 10:44 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {a: 5, o: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 1 = -28*a. Let n(w) = 30*w**2 - 5*w - 20. Let j(i) = -i**2 + i - 1. Let h(g) = a*n(g) + 5*j(g). Differentiate h(m) with respect to m.\nAnswer: 50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2072*i**4 + 2*i**3*u**3 - 108*i - 13*u**3 wrt i?\nAnswer: 24864*i**2 + 12*i*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l - 392 + 452 - 956 = 1552 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1365 - 1347. Calculate the greatest common divisor of b and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 6 = -2*d, 36 = 4*d - 4*f. Does -1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*(1 + sqrt(847) + sqrt(847)) + 6*-2*sqrt(847) + (-3 + sqrt(847) + -1 + sqrt(847) - (sqrt(847) + 0 + sqrt(847) + -3)))**2)*5*-1.\nAnswer: -423515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*q - 7, -5*n + n = -2*q + 16. Let r(g) = g**3 + 11*g**2 + 4*g + 3. Is r(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 66099.5?\nAnswer: -132199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 306 divided by 3\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054199 litres in millilitres?\nAnswer: 5.4199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 11*t - 27 = t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 5, a: 5}. What is prob of sequence ta?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 526593 by -1.\nAnswer: -526593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3988 equal to -3986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 + 225\/(-18))*(-132)\/165. Find o such that 4\/3 - v*o + 2\/3*o**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2 + 19*z + 2 + 1. Is 6 a factor of k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 + 3*j**2 - j**2)*(0 + 0 - 2)*(j**2 - 2*j**2 - 7*j**2).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/36 + (-2)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*g = 243*g + 19243. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/17)*k**0*k**27*k*k**(-25))**(-42) assuming k is positive.\nAnswer: k**(-2730\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 10*t**2 + 11*t + 3. Let x be l(11). Suppose 110 - 38 = -x*p. Let c = p + 52. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 6 + 12*i**2 + 6 + i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3)*1)\/(4\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -7 + -129 + 127\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5044 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*i + 23307 + 23760, 0 = -10*n + 5*i + 235365. What are the prime factors of n?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -11) + (220 - 212).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 4284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2796 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p**3 + 3*p**3 - 13*p**3.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 1196*o - 19. What is a(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 17. Suppose -4*j + 11 + 1 = q. Solve -a - 4*y = -2, 0*y + j*y - 6 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.1254 to 1 dp.\nAnswer: -129.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 + -45. What is the second derivative of 6*t - a*t**2 + 10 - 32 + 15*t - 19*t wrt t?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39570059.\nAnswer: 39570059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 1122\nAnswer: 8\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**2 + 15*y**2 + 608*y - 50*y**2 + 19*y**2.\nAnswer: 2*y**2 + 608*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**2 - 567*s - 5. Calculate p(-81).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/13, 12, 2\/17, 4, 1\/4, -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 11 + 11. Let s(w) = -14*w**2 + 21*w**2 - 5*w**k. Let t(f) = -3*f**2. What is t(s(r))?\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48978.4721 - 49024.4721046. Let v = c - -46. What is v rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) 1 (b) -1 (c) -5.97 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 18 + 21. Let q be (-24)\/(-2) - b\/(-3). Solve 4*h = 3*h - 3*t + q, -h = -3*t + 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10537 - 10533. Let g = 5 + 0. Suppose 4*f + 112 = g*c, c + f - 3 - 14 = 0. Solve 0*d - 4 = -o*r + 4*d, -4*r - 4*d = -c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 + -4 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7008972736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q - 322. Let w be x(-25). Sort -3, 4, w, -10 in ascending order.\nAnswer: -10, -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*p = -375, -330 = -3*b - b - 2*p. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 7*q - 1. Let s(p) = -p - 24. Let z be s(-19). What is the units digit of x(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -15. Let v = y - -19. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2099 = -3466*h + 3469*h - 5*q, -4*h = 5*q - 2717. Calculate the remainder when h is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2522.\nAnswer: -1\/2522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*f + 29 - 24 - 24*f + 6*f.\nAnswer: -86*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -19797377.\nAnswer: -3\/19797377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -12*y + 1657. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*h = -50 - 31, -a = -2*h - 25. Suppose -z - 4*c - 1 = -a, -5*z = -2*c - 40. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*c. Suppose a + 2*n = -c*a + 9, 4*n = 4*a - 24. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1107702*k**2 + 858877 wrt k?\nAnswer: -2215404*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -97\/4. Let p(b) be the second derivative of b**4\/12 + b**3\/6 + b**2 - 2*b. Let d be p(0). What is the nearest to 0 in d, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61525 (base 7) to base 9\nAnswer: 22531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 2) to base 16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o**2 - o - 1. Let k be b(-1). Suppose k = 4*f - 3. Let f + 5 - 75*g**2 + 70*g**3 - 18*g**2 + 15*g**2 = 0. Calculate g.\nAnswer: -2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15117811 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 - u**3 + u**3 + (-4*u - 3*u**3 + 4*u)*(-43*u**2 + 11620 - 11620).\nAnswer: 126*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*y + 41 = 0, 0*y = i + 3*y - 18. Let p(j) = 2*j - 30. Let x be p(i). Solve 3 - 1 = -2*c - v, x = -3*v - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c - 34 - 14*c**2 - 22*c - 9*c.\nAnswer: -14*c**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w. Let d(z) = -47*z + 30. Let l(h) = h - 30. Let u(m) = 3*d(m) + 3*l(m). Calculate u(f(a)).\nAnswer: -690*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*-3 + 9 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 85*y**2. Let l(t) = -38*t**2. Calculate j(l(u)).\nAnswer: 122740*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000109809 to six decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 17*b**2 + 29*b + 19. Let s be c(15). Let p be (-14)\/s*(-44)\/(-77) - -2. Solve -3*y - 15 = 4*q, -q + 2*y + y + 15 = p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787 != 2536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159\/8 + -20. Let q = 5.18 - 0.18. Which is the closest to 2? (a) q (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -848*v**2 + 153 - 299 + 146 as n*v + x + w*v**2 and give w.\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162 or -107?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100100 (base 2) in base 11?\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**3\/6 - 9*s**2\/2 - 2*s. Suppose 4*d + q - 26 = d, -2*q - 11 = -3*d. Suppose d*m = 3*m. Give n(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 226?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 16*w**2.\nAnswer: -w**2*(w + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4030632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10872 = -2*w, -16*w + 12*w + y + 21678 = 0. Does 39 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 754 = 2*a, 0 = -5*a + 4*c - 1341 - 516. Let y = -352 - a. Solve -x - 4 = 0, u + 3*x = -x - y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 55*o**2 - 105*o - 370. Let r(s) = 8*s**2 - 15*s - 53. Let y(h) = 3*a(h) - 20*r(h). Factor y(w).\nAnswer: 5*(w - 5)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -123 and 176.86.\nAnswer: -21753.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -237? (a) -471 (b) -202 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c + 10*c - 2*c)*(-2*c**2 - 5*c**2 + 5*c**2) + 6*c**3 - 2*c**3 + 0*c**3)*(1 + 2*c - 1).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-4) + 12 + 3. Let k(r) be the first derivative of -9*r**2\/2 + 4*r - 1. Let m(i) = 3*i - 1. Calculate p*m(g) + 2*k(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -29. Let d be (2 - 3)*j\/(-4). Which is smaller: 0.3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750*c**3 - 1662*c**3 + 907*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9691 = -3*t, 5*o + 4586 = 2*t - 1870. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9772.389l?\nAnswer: 9772389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 142, 221, 300, 379?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772075220.\nAnswer: 2, 5, 7, 5514823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 38*h - 7*h - 78*h)*((-4 + 0 + 1)*(-2*h - h + 5*h) + (-1 - 1 + 0)*(0 - 2*h + 0)).\nAnswer: -4*h**4 + 246*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 247*b. Let k(u) = -56*u. Calculate k(t(d)).\nAnswer: -13832*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*r**5 + 214251*r**4 + 77779224*r**2 wrt r.\nAnswer: -2580*r**2 + 5142024*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcxc. Give prob of picking 1 c and 2 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021201211 + 11?\nAnswer: -1021201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3343, 6689, 10039, 13393, 16751?\n\"Answer: 2*i**2 + 3340*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -31169775*x. Let z(k) = 5*k. Give g(z(v)).\nAnswer: -155848875*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 - a - 985. Let s(q) = 11*q**2 - 2*q - 1974. What is -9*f(d) + 4*s(d)?\nAnswer: -d**2 + d + 969","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 602, 1202, 1802?\nAnswer: 2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4945579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0781 and 1835.\nAnswer: 143.3135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = p - 5*t, 2*p - 5*p + 5*t - 13 = 0. Suppose -p*d = -688 + 208. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**3\/6 + q**2\/2 + 5*q. Let b be k(0). Suppose 2 = s - b. Solve -s*m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30064 and 11274?\nAnswer: 90192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 245, 267, 299, 341, 393, 455, 527?\n\"Answer: 5*u**2 + 7*u + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 686707 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 14 = -c. Suppose -p - c*p + 60 = 0. What is the least common multiple of 4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-2\/7))\/u**(1\/7))\/(u\/(u\/((u\/u**2)\/u))*u)**(-43))\/((u\/((u*(u**(-2\/3)*u*u)\/u)\/u))**20\/(u**(-2))**(-10\/13)) assuming u is positive.\nAnswer: u**(-14374\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -23*j. Let z(m) be the first derivative of 81*m**2\/2 + 775. Give z(g(h)).\nAnswer: -1863*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 747, 2999, 6755, 12015?\n\"Answer: 752*g**2 - 4*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*v + 13 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Let f(b) = 13*b - 1. Let g(c) = 2*f(c) + 9*j(c). Determine g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -0.05, 4\/45 in decreasing order.\nAnswer: 4\/45, -0.05, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -80430117 and -0.7.\nAnswer: -80430117.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/527287?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -45*g + 52*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1321021210 (base 4) to base 9\nAnswer: 835624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3084, -6168, -9252, -12336, -15420, -18504?\n\"Answer: -3084*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = t. Let k(m) = m**3 + 2*m**2 - 1. Let j be k(t). Let y = 2 + j. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -3, -354, 3 in descending order.\nAnswer: 3, -2, -3, -4, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47247812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7975 and 6259?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3061782 divided by -1?\nAnswer: 3061782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 1011010110000101111?\nAnswer: 1011010110000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 18. Is d\/6 - 2420\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 1 - 4*f + 1. Let u = 156923 + -156923. Calculate m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-493)\/34*(6 - (1177 + 9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507.\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/768*(2 - 6\/1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 58 = -3*l, -2*l = 4*n + 2*l - 56. Suppose -2*h + 10 = n. Put 5, 3, h in ascending order.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1746*b - 234436 = -974*b + 1954*b for b.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 54092 and 1.6156.\nAnswer: 54093.6156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + ((sqrt(1216)*2)**2 - sqrt(1216))) + -6*(sqrt(152)\/(sqrt(16)\/sqrt(2) + sqrt(8)) + 0).\nAnswer: -11*sqrt(19) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/11 - 2*w\/11 - 40\/11 = 0.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -137 - -22?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*z + 50, -14*z - 3*z + 22*z - 2*d + 64 = 0 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 36 = -4*k, 4*j - 35 = k + 16 - 21 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 669*b**2 + 2467*b + 25. Let f(j) = 2*j**3 - 1004*j**2 - 3701*j - 40. Let p(g) = 5*f(g) + 8*h(g). Find the second derivative of p(y) wrt y.\nAnswer: 12*y + 664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2046 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 137844268797?\nAnswer: -137844268796.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 84*k + 92*k + 0*k**3 - 7*k**2 - 173*k + 3*k**3 to the form h*k**2 + s*k**3 + g*k + n and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0464074 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 4595*j + 4694*j - 9256*j.\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.49.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)*s*(s\/(s\/((s\/s**(2\/9))\/s)))\/s*s**(1\/5)*s**(7\/3) assuming s is positive.\nAnswer: s**(-31\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1407 + 1293.2. Let m = k - 0.2. Which is smaller: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 20 - 19)*(-4 + 2 + 5)*(-3*s + 8*s + 22*s).\nAnswer: -2754*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 30. Let i be (-8)\/6*3\/14. What is the nearest to i in -1, 2\/17, v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g**2 - 2*g + 13. Let c be 16\/(-40) - (-214)\/10. Let y be (24\/(-10))\/(9\/(-30)). Let r = c - y. Let z(i) = 5*i**2 - i + 6. What is r*z(h) - 6*o(h)?\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/58432 and 167\/43824.\nAnswer: 175296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -30651*i - 367820. Calculate t(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s - 6*s + 9*s + 8*s. Let u(g) = -g. Calculate c(u(r)).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -337661.512 and 24841.\nAnswer: -312820.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 220*j**2 + 3*j - 3. Is q(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - 3*q**2 - 10*q + 18. What is the tens digit of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1446428*g + 144. Let k be d(-2). What is k rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 12*q**2 - 93*q + 57. Let l be u(15). Is 2712 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*i + 1096 = -361 + 173 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 60018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u*u\/(u*u\/(u\/(u**(1\/4)\/u*u))))*u*u*u)*u*u)**(-12))**(4\/13)\/((u\/u**6*u\/u**6)\/((u*u**(-6\/11))\/u**(-3\/4))) assuming u is positive.\nAnswer: u**(9049\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6715233 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one fifths of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -5. Let z be ((175\/15)\/7)\/(1\/3). Let f(s) = 3*s. Let q(r) = -5*r - 1. Let l(y) = z*f(y) + 4*q(y). Let p(n) = -n - 1. Give h*l(k) + 12*p(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 968743 = 2*d - 3*p, 0 = 2*d + 2*p - 986456 + 17748. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1176)*1)\/(-5*sqrt(200)))**2.\nAnswer: 147\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9285657 - -9285876.01036. Let g = z - 219. What is g rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*l + m, 4*l - 5*m + 21 = -19. Let f(g) = 3*g**2 - 7. Let v(a) = 4*a**2 - 8. Determine l*v(y) + 6*f(y).\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ualucaaluca?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(1 + sqrt(252) + 2 + sqrt(56)\/(sqrt(72) - sqrt(8)) + -5 + 1))**2.\nAnswer: -13*sqrt(7) + 1175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 0*q - q + 192*q**2 - 38*q**2. Let i(m) = -4*m - 10. Let a be i(-3). Is o(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6150 + -6146. Solve -o*y = -2*z - 20, 2*z - 3*y - 5 = -4*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13761410 = -14*q + 601410. Round q to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -11 + 16 - (3 - -2) - (-52 - -8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/77 - 186\/(-66). Solve 2*a - c = 1 - 10, c = -4*a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 - 2 = 2*p, -4 = p - 3*v. Let s = -2 + 5. Suppose c + i + s*i - 19 = 0, -p*c + i = -32. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.5. Which is the second biggest value? (a) u (b) 5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684)*4 + sqrt(684))*-3 + sqrt(684) + sqrt(684))*-2*-6*6*1)**2*6.\nAnswer: 3595497984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245830471 and 381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 327 = 2*y - 401, 3*y - 19 = y + 5*m for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/13))**(-25))**(15\/4) assuming h is positive.\nAnswer: h**(-5625\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181834*b - 181836*b + 8 = 0, w - 108 = -3*w - 7*b for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 365152 - 4?\nAnswer: 365145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -22) + (-443 - -487)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3325676, 13302507, 29930558, 53209829, 83140320?\n\"Answer: 3325610*z**2 + z + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 975731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 7*h = 6*h - 20, 0 = 4*t + 2*h + 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 4*g**2 - 5*g - 2. Calculate q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 13*k - 9. Let g be n(8). Let j = -22 + g. Suppose 15 = -2*a + j. Which is greater: a or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6995 + 11569729\/1654. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 1. Let h(b) = 2*b. Let u be 32\/5 + (-20)\/50. Let q be (u\/9)\/((-2)\/9). Let w be (1 + -1 + -1)*-2. Give q*h(a) + w*z(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11392)\/4094*-23 + 3*-12.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 98. Suppose 0 = -4*g - 3*x + 68, 5*g + d = -4*x + 127. What is the smallest common multiple of g and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*d - 9. Suppose -d - 3 = -2*r. What is the first derivative of -2*s**3 + 6 + s**3 + r - 3 wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6720 and 38380?\nAnswer: 12895680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.72, -30\/7, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 97. Suppose 3*a - 6*a = u. Let f(s) = s**2 + 13*s + 6. Let m be f(a). Calculate the highest common divisor of 40 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99617 (base 11) in base 6?\nAnswer: -3032540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-138)\/(-4) - (-9)\/(-6) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Let l(n) = n**3 - 5*n**2 + 4*n. Let d be l(m). What is the closest to d in -3, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = -4*p + 9*p. Let d = p - 65. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 45*y - 453. Give s(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**7\/280 + w**6\/180 + w**3\/3 + w. Let d(f) be the second derivative of u(f). Find the third derivative of d(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 4:25 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 322, 371, 420, 469, 518?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a - 1. Let h(q) = 3*q**2 - 6. Let x(g) = h(g) + 6*v(g). Factor x(c).\nAnswer: 3*(c + 2)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112133 + 101202?\nAnswer: 220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510495?\nAnswer: 5, 7, 103, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -82.7 (c) 3\/4 (d) -0.2 (e) -140\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11355630 (base 7) to base 13.\nAnswer: -292977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1272*p**2*v**2*w + 33*p**2*v + p**2 - 1866*p*v**2 + 2891*p + 2*v**2*w - v**2 + 2*v - 5*w wrt v?\nAnswer: 2544*p**2*w - 3732*p + 4*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 4*q = -41, 12*t + 5*q = 10*t + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -331, -20, -1\/10, -1, -2\/15?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:18 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*v - 43, v - 5 = 2*l + l. Let i be (-3 + v*33)*(-12)\/18. Let f = -56 + i. Calculate the highest common factor of f and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4247*c = 4239*c + 288. Calculate the remainder when 49 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/357 and 137\/342846?\nAnswer: 5828382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = -98 + 188 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -7*u**3\/2 + 1696*u**2 - 33395*u\/2 + 41525 = 0.\nAnswer: 5, 3322\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*f + 5*y, 4*f - 21748*y + 21749*y + 14 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 0. Let n be (b + 2)\/(1\/(-3)). Let u = 7 + n. What is the greatest common factor of 40 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 6*m - 54 = 0. Let n(g) be the third derivative of -g**6\/120 + g**5\/6 - 3*g**4\/8 + 2*g**3\/3 + 2*g**2. What is the units digit of n(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(1\/3)*q)\/q))\/q**(-1\/26)*(q*q**(1\/4))\/(q*q*q**(6\/7)) assuming q is positive.\nAnswer: q**(-985\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 569*b**3 - 14*b**2 - 10*b + 5. Let x(f) = 853*f**3 - 22*f**2 - 16*f + 8. Give 8*r(n) - 5*x(n).\nAnswer: 287*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3491 + 7994. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8*d**2. Let l(j) = -25*j**2. Give l(p(r)).\nAnswer: -1600*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -24*n + 12. Suppose 6*a - 3*a = -2*w - 14, w - 11 = 3*a. List the prime factors of v(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146589 - 10554203\/72. Let z = d - 21\/8. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**4 + 3*r**4 + 0*r**4 + r**4 - 2*r**4 - r**4 + (-2*r + 4*r - 3*r)*(4*r**3 + r**3 - 4*r**3) - 2*r**4 - 3*r**4 + 3*r**4 - 142*r**4 + r**4 - 108*r**4.\nAnswer: -256*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.8 + 165.8. Let j = 2.863 + 146.037. Let y = m - j. Round y to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -95 (b) -3 (c) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 12) to base 3.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0667471649 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-62*(-48)\/22320).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 8\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 12*q + 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 51*b - 774. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y + 190. What is m(-33)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(-t + 2*t + t)*(1 - 2 + 3)*(-6 + 3 + 12) to n + y*t and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = 9*s - 192 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -39 + 41 - (138 - 1) - (-6 + 12).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 21 = a, 0 = 4*a - 5*k - 132 + 153 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 9:04 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -310.5163 + -6.1137. Let w = g - -318. Let d = w + -30.87. Round d to zero decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 12*a - 3*a)*(-1 + 0 + 2)*(-a + 2*a - 2*a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 76*h**3\/3 - 75*h**2\/2 - 71. What is the second derivative of g(w) wrt w?\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19425 and 525.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/286 and 93\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 7*u - 14. Suppose 5*c + 4*m + 205 = 0, 0 = 7*m - 5*m + 10. Let t = 37 + c. Solve t*y + 10 = u*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -72*v**3 + 10*v**2 - 2*v. Suppose -4*a + 43 = -5. Let t be d(a). What is t rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3824347, 7648684, 11473019, 15297352, 19121683?\nAnswer: 22946012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**2 + o + 4. Let l(f) = 8 - 24 + 8 + 60*f + 6*f**2 + 3 - 62*f. What is 3*a(t) + 2*l(t)?\nAnswer: -9*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*f - 4. Suppose 13 = f*m - 3*z + 8*z, 4*m = -2*z + 18. Solve 3*v - 16 = -m*g + v, -g + 2*v = -9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuk when three letters picked without replacement from uuukuuuuuuku?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*j - 3. Suppose -3*i = j*a - 55, 3*i - 3*a - 28 - 41 = 0. Suppose -1 = -2*b + i. Solve b = 4*w - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 4:13 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 401 + -402.936. Let m = 196.1 + -198. Let k = m - n. What is k rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25473, 25470, 25467, 25464?\n\"Answer: -3*c + 25476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*u**4 + 644*u**3 - 344*u**2\/3 + 16*u\/3 = 0. Calculate u.\nAnswer: 0, 2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/4 - 5*r**2\/2 - 73*r + 4. Let l(i) = 8*i**2 + 12. Calculate 12*a(d) + 5*l(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -517, 1, -4 in ascending order.\nAnswer: -517, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 16*f + 16*f - 14*f in the form h + l*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 1940*f**3 + 80275*f**2 - 450500*f.\nAnswer: 5*f*(f - 5)*(f + 53)*(f + 340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1218 and 3263457.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -27289\nAnswer: 27289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -4*y**4 + y**3\/6 + 5*y**2 - 2*y + 11. What is the second derivative of n(k) wrt k?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -181543, -181518, -181477, -181420, -181347, -181258, -181153?\n\"Answer: 8*o**2 + o - 181552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*s = 49*s + 96*s + 3560 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -24*w. Let o(n) = -6. Let v(l) = l - 14. Let a(b) = -7*o(b) + 3*v(b). What is u(a(p))?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -194, -2079, -3980, -5903, -7854?\n\"Answer: -g**3 - 2*g**2 - 1872*g + 1681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y**2 - y - 169. Let b be x(0). Let c = b - -1185\/7. Put -2, -3, c in decreasing order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 6. Let a = 21 + -13. Let m = a + -7.8. Sort m, 0.3, p in descending order.\nAnswer: 0.3, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 54*h - 41 - 112. Solve -2*l - h*s = -14, l - 18 + 31 = 2*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*x - 117*x - 71*x)*(-50*x**3 + 8 - 17 + 9 + 7*x**3).\nAnswer: 6407*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 8*r**2 + 3*r - 9. Let f(v) = -v**2 - v + 5. Let c be f(0). Suppose -c*o + 40 = -0*o. What is the units digit of t(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/20 + 11*p**2. Let o(n) = 2*n - 2. Let d(j) = j + 1. Let v(r) = -4*d(r) - 2*o(r). Give q(v(h)).\nAnswer: -192*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -963*i - 14 - 17 - 33 + 64 to the form y*i + q and give y.\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**2 + 2028*k - 20. Let j(c) = 17*c**2 + 5072*c - 48. Give -5*j(q) + 12*m(q).\nAnswer: -q**2 - 1024*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17719430 + -2780570. Round d to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 6*o**2 + 5*o - 9. What is q(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08227069 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 100 = 16*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3))**(-1\/34) assuming o is positive.\nAnswer: o**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1632, 3258, 4886, 6516, 8148?\n\"Answer: h**2 + 1623*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11648938787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 53582, -4.\nAnswer: -4, 31, 53582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295665 is divided by 1002?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345717837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z + 26*z + 3*z**3 - 101*z + 46*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*c**2*n + 10*c*n + 2*c - 4 wrt c.\nAnswer: -258*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 898575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - n)*(61*n - 76*n + 44*n + (2*n - 6*n + 3*n)*(0 + 0 + 1)).\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 4. Let a(p) = 168*p**2 - 4*p + 10. Give a(y) + 2*b(y).\nAnswer: 168*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*m + 2*d, -3*m - 2*m + 162 = -d. Suppose 3*b - m = -4*v + 7*b, 20 = 3*v - 2*b. Let w be 16\/(-18)*v\/48. Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k**2 + 6*k - 6. Let i(b) be the first derivative of b**3\/3 - b**2\/2 + b + 2. Let r(s) = -17*s + 113. Let y be r(7). What is y*i(z) - u(z)?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 658\/7335815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/34 + 1850\/(-2550). Sort 0.21, -0.3, z, 1\/2, 0.2 in descending order.\nAnswer: 1\/2, 0.21, 0.2, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(19\/3)*w*w**(-29) assuming w is positive.\nAnswer: w**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 5. Let b(l) = l. Suppose -8*r - 12 = -44. What is r*b(t) - n(t)?\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from {f: 3, c: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/21, -2, -0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -371580.256 rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*n = -14*n - 2760 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1804*b - 1808*b + 5406*b - 3 - 1804*b + 6.\nAnswer: -10*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146964 divided by 111.\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 7910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4457, -33409, -111423, -263027, -512749?\nAnswer: -885117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 20?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.53 - -6.53. What is the smallest value in 0.4, k, 6\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*h - 7 + 5 = 0, -2*h - 8 = -l. What is the greatest common divisor of 108 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 385\/2 (b) 1\/6 (c) 14.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4, 2\/11, 3\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*h + 29*h + 4*v - 2*v - 6, 4*v + 27 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -57. Let f(d) = 3*d**3 + 2*d**2 - 1. Let x be f(-1). Let p be 4*(-1)\/x - -19. What is the greatest common divisor of a and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*b)*(1 - 2 + 4) + (2 + 3*b - 2)*(-1 + 6 - 2))*(-6 - 3 + 3).\nAnswer: -90*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7944, 24317, 40690?\nAnswer: 57063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -13*u + 296. Solve 9*w = -5*p + 12*w + 23, 0 = 2*p - w - u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.47 + 344.63. Round l to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42929069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8) + 78\/104 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + j + 2 + 2*j.\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104660.\nAnswer: 2, 5, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 6:28 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 210671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-10))\/((-6)\/15). Suppose -g*m + 11 = -m. Let x = -4 + m. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64\/15 - -23\/5. Let c = 5959\/7940 + -1\/1985. Sort 2, -1\/5, t, c in increasing order.\nAnswer: -1\/5, t, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -86. Let z = o + 31. Let l = z - -18.99999832. Round l to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*z + 540 = 81*z - 94*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pphh when four letters picked without replacement from hpfpfpffpfhfp?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006965617 to four decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1715 - -1718. Sort 30, v, -0.3, 0, 2\/17.\nAnswer: -0.3, 0, 2\/17, v, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 15*r - 4*d - 24, 3*d + 12 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 z when three letters picked without replacement from etztteeett?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-189)\/24 - -8)*8. Solve j = 2*h + y, 3*y = -3*h + 4*y + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 11, s: 3}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392580 divided by 392580.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1179 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z**2 - 20*z + 14. Give u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/2))\/(c*c**(-2)) assuming c is positive.\nAnswer: c**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25100429 - -25100471.798348. Let l = t - -0.197452. Let v = l + -43. Round v to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Let g(i) = -5*i + w*i - 3*i. Let s(m) be the second derivative of -m**4\/6 + 9*m. Determine g(s(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 + -11111011110110?\nAnswer: -11111011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(-1*-4*6*1*(-4*sqrt(448) + sqrt(448)))**2)*-1.\nAnswer: -11612157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-28) - (-6)\/(-84)*-8. Which is the nearest to 2? (a) n (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {g: 1, f: 3, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6010656 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -2, -5.\nAnswer: -24, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801430027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 + 415\/2. Let p(l) be the first derivative of 0*l**3 - 1\/3*l**6 + 0*l + 0*l**4 - 1 - z*l**2 + 0*l**5. What is the second derivative of p(b) wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(32) - 4*sqrt(512) - sqrt(2048)*1)**2 + (1*sqrt(32) + 0 - sqrt(32))**2 + sqrt(2048) + 0.\nAnswer: 32*sqrt(2) + 16932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c, -4*f - 4*f + 3*f = -3*c + 30 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 426 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 12*q + 3705 = 0. Let s be ((-114)\/q)\/(6\/10). What is the nearest to -0.1 in 26, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - 9313?\nAnswer: -9322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6094 - -6103. Solve -p*s + 6 = 42 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from wtmjjioo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -18. Let v be y\/4*(-2)\/3. Let s be 16\/(2\/v) + 1. What is the highest common factor of 99 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045 is divided by 121?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from gggvpggxpggxpggppvpg.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = -3*j - 4*g, -g - 1 = j. Suppose 12 = 4*p + l, p - 5*l + 11 = -7. Suppose 11 = j*c - k, -p*k = k + 9. Solve 0 = m + c*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*d**5*s + 2*d**3 + 2*d**2*s - 2156*s wrt d.\nAnswer: 2940*d**2*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 216705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - -1)*(-66)\/(-4719)*-13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5990*s - 3956*s + 11509*s - 2 as l*s + h and give l.\nAnswer: 13543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3318*g + 448491 + 62305 = -2116*g for g.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 + 7*l**2 - 7. Let t = 12 + -23. Let c = t + 4. Let y(a) = -2*a**3 - 4*a**2 + 4. Suppose -2*n = 4, x - n + 0 = -2. Give c*y(m) + x*d(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32750163451 - -3?\nAnswer: -32750163448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.3571 nanograms in milligrams?\nAnswer: 0.0000593571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1141608 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, -4\/5, 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*c**5 - 213*c.\nAnswer: -1020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7042, -1, -205.\nAnswer: -7042, -205, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 287 = 85. Suppose 0 = -3*t - 2*s + 1032, -36*t = -35*t - s - 344. Let j = t - u. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*20)\/(36\/42)*10842\/52. Calculate the highest common factor of 175 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10284765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(-2)\/((-1)\/(3\/12)). Let s = k + -5. Is -1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*c**2*p**2 + c**2*p*v - 3*c**2*p + c*v - 2*p**5*v - 2*p*v wrt p?\nAnswer: -92*c**2 - 40*p**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Let u = 398 - 395. Suppose 3*x + u*r - 11 = 4*x, -x + g*r = 17. Put -5, -6, 4, x in descending order.\nAnswer: 4, x, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sha when three letters picked without replacement from sshaaauarsrsrsslhhh?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 19. Suppose n = 4*t + 8. Solve -4*y + c + 21 = -0*y, 35 = t*y - 3*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199524?\nAnswer: 2, 3, 13, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/8 and -1\/19100.\nAnswer: 38200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 832291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-105)\/(-18) + -2)\/((441\/(-476))\/(-21)). Which is bigger: 88 or w?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2\/5 - 41702*d\/5 - 1001424\/5 = 0.\nAnswer: -24, 41726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4.1, 0.3, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/7)\/a)\/a*a)**44\/(a**(-1))**22)**(2\/85) assuming a is positive.\nAnswer: a**(132\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/10*-3*12\/(-54)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083568.\nAnswer: 2, 67723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v**2 + 46*v - 47*v**2 - 46*v. Let o(r) = 27 + 14 - 41 - r - r. Calculate n(o(l)).\nAnswer: -256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*k + 109*k = -1884*k + 65675 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:05 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-28))\/((240\/350)\/8). Solve -2*g + z*k + 5 = 0, k - 58 + 62 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*k + 8644*k - 448901 = -6*k + 669931 for k.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)\/(m**5*m))\/((m\/(m\/((m*m**(-2\/7))\/m)))\/m*m)**(-36))**(-12\/7) assuming m is positive.\nAnswer: m**(1704\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/21 - 11\/84. What is the second biggest value in -0.3, v, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21*3\/35 + (-1)\/(-5). Suppose -5*a - 177 = -5*h + 18, k*a = -3*h + 122. Calculate the highest common factor of 140 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2 - 1\/2*l**2 + 5\/4*l**4 - 1\/3*l**3 - l. Let p = 26 + -27. Calculate a(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(-2 + 2 + sqrt(300)) + 4)**2.\nAnswer: 480*sqrt(3) + 4836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 353, 2698, 5031, 7346, 9637, 11898?\n\"Answer: -z**3 + 2352*z - 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:15 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 865, 863, 861, 859, 857?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 5*n + 38*n. Let j(m) = -m**3 - m**2 - m + 1. Let g(y) = -y**3 - 7*y**2 - 5*y + 4. Give n*j(v) - g(v).\nAnswer: -3*v**3 + 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5724 + -3828. What is the highest common divisor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 0, -5, -32 in ascending order.\nAnswer: -32, -5, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 3, -1\/3, -28.\nAnswer: -28, -7, -1\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 59602*w**3 + 31554*w**2 + 252432. Let k(v) = -2*v**3 - v**2 - 8. What is -63108*k(t) - 2*n(t)?\nAnswer: 7012*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-4 + (7 - -3) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 3:53 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -850 (b) -0.2 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377476 is divided by 188447.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 26*z - 32*z. Suppose -5*t = -15, 0*t + 108 = 3*q - t. Suppose -q = -0*s - s. What is the remainder when s is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*n + 129*n = 67*n + 9580 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -182*r**2. Let l(t) = -6*t**2 - 25*t - 5. Let x(j) = -5*j**2 - 20*j - 4. Let d(o) = 4*l(o) - 5*x(o). What is d(f(y))?\nAnswer: 33124*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 388*j**3 - 61836*j**2 + 2380428*j + 6692220 = 0. What is j?\nAnswer: -255\/97, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13370 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012224 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*(k\/k**(-1))\/k)\/(k**1\/k)**(-3\/5)*(((k**(1\/3)*k)\/k)**(-2\/77))**(-1\/16) assuming k is positive.\nAnswer: k**(9241\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8. Suppose -3*n - 3 = 2*x - 0*n, k = -4*x - 3*n + 3. Solve -x*q = -4*o - 8, -2*q - 15 = -5*q - 3*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1781*j = 2203*j - 10972 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7492 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/(-240) - 3\/(-18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j - 535483 = 564180. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 122*p**2 - 3707*p + 18*p**3 + 122*p**2 + 3707*p.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14516992 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.2. Let g = 41.204 - 41. Let l = v - g. What is l rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w - 3*w - 4*w)*(-4*w**2 - w**2 + 3*w**2) + (w + 3*w - 3*w)*(2*w**2 - 2*w**2 + 2*w**2) - 4*w + 4*w + 5*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 35, -4, 3, -5 in increasing order.\nAnswer: -5, -4, 2, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/((-6)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1776 by 6.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148.864 - 0.164. Let p = z - 133. What is p rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 1742a2181?\nAnswer: -1742a2185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1401200023 (base 5) to base 7.\nAnswer: 42032310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144882107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - h + 1. Let n(w) = -63*w**3 - 126*w**2 - 126*w + 126. Determine n(q) - 126*p(q).\nAnswer: -63*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 2. Let x be u(3). Let q = -1453 - -1473. Let z be -176*(-10)\/q - 11. What is the greatest common divisor of z and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -26, 0.4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 181 = -3*r, u - 6*u + 5*r = -235. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 + 13548*r + 6160617 = 0 for r.\nAnswer: -4003, -513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.5, -1\/3, -1220762?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + p + 316 - 83, -3*r + 139 = -p. Suppose 0 = -2*b + i + r, -2*i + 91 = 4*b - i. Calculate the highest common divisor of 115 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-13))\/(3*12\/(-117))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -57377 = -57366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-1*8\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(-14) + 81\/18 + 1455\/945.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*-4 - sqrt(22))\/(sqrt(242)*3).\nAnswer: -13*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h - 28. Let m be f(7). Suppose 5*z - 2*v = 41, -3*v - 2 = m*z - 13*z. Let t(q) = 9*q + 9. Does 6 divide t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1597 = 65*y - 167 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + -0.4. Let t = -2.036 - -0.086. Let r = o + t. What is r rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*a + 12, -4*z - 5*a - 8 = -26. Suppose f - 4*k - 38 = -0*f, 0 = f - z*k - 28. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-354))\/((-51380)\/33030).\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - -87.06. Let j = s + -107. Which is the third biggest value? (a) j (b) -5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1856595388 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 255420.\nAnswer: 255420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948231824 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*f - 912 + 3486. Suppose 0 = 3*c - d - 14, 5*c + d + 10 = -4*d. Suppose -3*w - 24 - 16 = -2*m, 3*m - f = c*w. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -480747*f + 13460945. What is b(28)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2970 != -29691\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 24*r**2\/5 + 36*r\/5 + 8\/5.\nAnswer: -4*(r - 1)*(r + 2)*(5*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16345, 70132, 159793, 285340, 446785, 644140, 877417, 1146628?\nAnswer: 1451785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2305 = 4*h - 2162, 0 = -9*v - h + 364 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -645 + 648. Let q(r) be the first derivative of 0*r**3 + 5\/4*r**4 + 4 + m*r + 0*r**2. What is the derivative of q(n) wrt n?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54405 (base 7) to base 12\nAnswer: 7a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/300 - 6\/(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 + 42 = 4*w, -65*c - 36 = -62*c + w + 4*w - 216 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -112) + -22 - ((1 - 4) + 8).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 200*i**2. Let q = -5 + 6. Let t be g(q). Suppose 4*w - 56 = 5*l + t, 2*w = 4*l + 134. Round w to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42833789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19595628 a multiple of 821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/(-6))\/((-6)\/(-4)). Suppose -a*k + 5*d + 33 = 0, k + k + 1 = -d. Is 5 a factor of (-6)\/12 + 21\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 54*t + 5.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1770*m**6*q**2 + 11*m**2*q**2 - 7*m**2*q wrt m?\nAnswer: -212400*m**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9959705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 12. Let l = -21 + 16. Let r = l - b. What is the remainder when 4 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175*-0.08781.\nAnswer: 15.36675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 2*a - 3*a)*(0 + 4 - 3) + (-2 - 2 + 2)*(7 - 3 - 3)*(3*a - 9*a + 2*a) to u + l*a and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 28. Suppose 0 = -0*c + 4*c + 20. Let x(a) = -a**2 + a + 3. Let n be x(3). Put n, c, f in decreasing order.\nAnswer: n, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/3 + 17452278*r - 228436505541963 = 0. What is r?\nAnswer: 26178417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4256, -4259, -4262, -4265, -4268?\nAnswer: -4271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/5 + (-6)\/(30\/(-5849))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14\/3 - 29\/6. Let t be (-672)\/560*20\/3 - -3. Which is the nearest to k? (a) -2 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 3718050.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 258*k - 255*k - 6, 0 = 2*i + 3*k - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ama when three letters picked without replacement from mhaahyayhyz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 636511*t. Let w(c) = 2*c. Give r(w(i)).\nAnswer: 1273022*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*t = -245*t + 2830960. Does 255 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.0559, 0.2, -0.3, -0.117 in descending order.\nAnswer: 0.2, 1\/6, 0.0559, -0.117, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17 and 1.4624?\nAnswer: 15.5376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31773769, 31773766, 31773763?\n\"Answer: -3*m + 31773772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-22)\/(-12))*(-36)\/(-18)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95037 and 2133?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/15*(-3)\/(-4)*-20\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 0 + 38\/3*k**2 + 22\/3*k**3 + 6*k + 2\/3*k**4 = 0?\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 718*b + 5232. Determine c(-8).\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 1, y: 1, b: 1}. Give prob of picking 1 t and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2\/11 - 3830256*r\/11 + 1833857628192\/11 = 0?\nAnswer: 957564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/3 and 23\/238.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 7*d - 3. Let r = 7 - 3. Suppose 0 = r*x - 5 + 17. What is the tens digit of w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53925850 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g = -54*g - 18. Put 1, 0, g, -1 in decreasing order.\nAnswer: g, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.2467 + 0.2367. Let c = n + 29. What is the closest to -1 in c, -1\/2, 1\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 443.6 * -0.0611.\nAnswer: -27.10396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39602 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 + -2 - (-23 + 34)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2988 by 5.\nAnswer: 2988\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60343756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15546 divided by -6\nAnswer: -2591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2*3\/(-90))\/(109\/12))\/((-3044)\/7610)\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165104 is divided by 3056?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 2*p + 4*q, 3*q - 24 = -494*p + 491*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -686, -1529, -2710?\nAnswer: -4229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00271073411 + -0.03211804628. Let w = 248.97060298783 - q. Let v = 249 - w. What is v rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 7, i: 6, m: 1, j: 4}. Give prob of sequence jm.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 + 300*r**2 - 299*r**2 - 2*r**3 + 3*r - 2 - r**3 + 5*r**3 in the form b*r**4 + h*r + s*r**3 + c + m*r**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120143 (base 6) to base 10.\nAnswer: 57087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 379230.6ng?\nAnswer: 379.2306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + d + 59 = -0*d, -5*c - 3*d = 79. Let q(j) be the third derivative of j**5\/60 + 3*j**4\/8 + j**3\/6 + 6*j**2. What is the units digit of q(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98431536 a multiple of 813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or 3\/34?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let q(g) = 2*g + 1. Let z = 12890 + -12891. Give z*r(w) - q(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-97336)\/(-52) + 9 + (-805)\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**0\/m)\/m*m))**(-10)\/(m**0)**6 assuming m is positive.\nAnswer: m**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + w**3 - 3*w**2)*(86*w + 3 - 129*w + 61*w).\nAnswer: 18*w**4 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 12036663 = 4*n - 12036678, 0 = 5*h - 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -2.215?\nAnswer: -0.2215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*w + 265, -h - 2*h - 87 = -2*w. Calculate the remainder when w is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + 2. Let x = -260 + 534. Suppose 3*t = x - 232. What is the remainder when n is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0 - 3) + 18 + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -116280, -116480, -116680, -116880?\n\"Answer: -200*i - 116080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*-2*5)**2 - 4*(sqrt(425) + 1 + sqrt(425))**2 - ((1 + sqrt(425))**2 + 1)*-2) + -2.\nAnswer: -60*sqrt(17) + 36548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**6\/240 - d**5\/30 - d**4\/12 + 2*d**2 - 1. Let f(m) be the second derivative of v(m). Solve f(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1418 - 1447 - (2 + -1 + (8 - (0 + -2))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 43 = 5*g, -y + 0*y = g + 17. Let l(m) = m**3 + 15*m**2 + 12*m - 6. What are the prime factors of l(y)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.9 rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 16*p + 105 = 0. Solve -j + p = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 + 33*f**3 - 209*f**2\/3 - 237*f - 404\/3.\nAnswer: (f - 4)*(f + 1)**2*(f + 101)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8476*f + 16953*f - 8477*f - 58*f**2.\nAnswer: -58*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1810, -3624, -5436, -7246, -9054?\nAnswer: -10860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, x: 14}. Give prob of sequence xx.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.048 and 0.03647.\nAnswer: 0.00175056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 550 and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 821640.1mg?\nAnswer: 821640100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 182*o - 47*o - 254 = 0, -5*v - 10 = -3*v + 3*o for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 - (-100 + 16) - 67.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Suppose -18 = -3*w - g. Suppose -2*f + f + w = 0. What is the highest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - 4)*-2*(-9)\/378. Which is smaller: z or -1885?\nAnswer: -1885","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/9 + (-1 - -2). Let u(q) = -9*q**2 + 3*q - 12. Let s(l) = 18*l**2 - 5*l + 21. Let g(b) = 4*s(b) + 7*u(b). Calculate g(m).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 452 - 35661?\nAnswer: -35207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 20512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9068029231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 1:24 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6550641197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -74, -138, -246, -398, -594, -834, -1118?\n\"Answer: -22*j**2 + 2*j - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-48)*4)\/(16\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4553 - 1477 - 1536 + 326*b**2 - 1540.\nAnswer: 326*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(7*2\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 3 - i**2 + 2 - 16*i**3 in the form s + x*i**2 + f*i**3 + d*i and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 56*n + 2854. Determine i(-51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.6 - 0.2. Let q = 9.16 + -0.16. Let w = q + f. Sort -2\/19, w, -3 in increasing order.\nAnswer: -3, -2\/19, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/199523937 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 5*r - 6. Let s(t) = 16*t + 5 - 2*t + 11*t + t**3 + 88*t**2 - 62*t**2. Let n be s(-25). Calculate a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1431 - 1414. Calculate the highest common divisor of 27081 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 7:20 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 357 = -10*j. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 0, 4*a + 0*z - 86 = -2*z. Let j = 16 + -11. Suppose 0 = 5*u + 25, -x - j*u = a - 6. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {g: 1, q: 1, d: 1, r: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211970555*q**4 + 599688798*q wrt q.\nAnswer: 2543646660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vybvvyyggy. Give prob of sequence vgy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10004 times -0.0108\nAnswer: 108.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-9)*(-6)\/16. Suppose -3*s = 3*s. Which is the closest to -1\/3? (a) s (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3786 and 65507896?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 7:10 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -5*w - 4*v - 24, 4*v = 5*w - 372. Suppose -16*h - 72 = -20*h. What is the least common multiple of h and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from kjojoojojkoooojoj?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 12*y**2 - y - 10. Let w be i(-12). Let l(b) = 5*b**3 + b - 1. Let h be l(1). Differentiate 8*m**2 - 2 - w + h + 3 with respect to m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7223 + 4523. Let d be -2705 - (-2)\/3*6\/18. Let y = d - i. What is the common denominator of -117\/10 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 4 = -5*l. Suppose -s - c + 23 = -l*s, 4*c = -5*s - 8. Is s not equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*j - 4 = 4, -j = -f + 9. Let p be -4 + (f - 1) + 2. Put p, -5, -3 in ascending order.\nAnswer: -5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2930*v**5 - 4*v**4 + 4*v**3 + 13*v**2 + 28833*v + 1?\nAnswer: 175800*v**2 - 96*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*d + 43, -4*g = -4*d - 32 - 12. Calculate the remainder when 167 is divided by 6\/((d - -7) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*v + 3 - 3.\nAnswer: -122*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 976\/(-120) + 4\/(-20))*(-1 - 11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 864*i**3 - 3*i**2 + 2*i - 1. Let g be a(2). What is the common denominator of 5*(-1 - 0) + g\/1196 and 41\/16?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**3*s**2 - 2216*j*s**3 + 24*s**3 + 2*s**2 + 8*s wrt j.\nAnswer: -6*j**2*s**2 - 2216*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and 85323.4?\nAnswer: -3242289.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -4, -13, -26, -43, -64, -89?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 3*d**2 - 4*d - 4. Let c(a) = a**3 - a**2. Let b(y) = -c(y) + t(y). Let r(x) = x**3 - x**2 - x + 4. Let j be r(0). Is 4 a factor of b(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2415320, 4830642, 7245962, 9661280?\n\"Answer: -h**2 + 2415325*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287 + 1768 = 114*m - 795 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z**2 - 3*z - 5. Let j(u) = -29*u**2 + 5*u + 8. Let y(h) = -3*j(h) - 5*x(h). Let s(g) = -2*g**2. What is s(y(d))?\nAnswer: -578*d**4 - 68*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -351 from 8.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*-3*11\/(-55)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 761, 1519, 2291, 3083, 3901, 4751, 5639?\n\"Answer: b**3 + b**2 + 748*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from ppnggb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*o**2 + 15*d**2*o*y**2 - 2*d*o**2*y**2 + 2*d*y**2 - 2*d - 4*o**2 wrt d.\nAnswer: -6*o**2 + 30*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 143083960 rounded to the nearest 100000?\nAnswer: 143100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/3, -31.8411, 3\/17 in increasing order.\nAnswer: -31.8411, -2\/3, -0.2, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y - 2*x, -4*y - 23*x + 19*x + 32 = 0. Suppose 0 = -y*g + 3*a + 186, -2*a - 251 = -4*g - a. What is the highest common divisor of g and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i**2 - 2*i - 1. Let f be m(-1). Let b be (f\/6)\/(4\/(-72)). Suppose 0 = -3*z + 6*z - b. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011001010 (base 2) in base 11?\nAnswer: 3683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 - -2)\/((-16)\/24) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90065610013\/1777080 - -52280\/44427. Let z = u - 50686. Let m = -17\/59 - -5285\/118. Find the common denominator of z and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4, 2, -1\/2, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 43*r + 2454. Determine p(-57).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5320 - -5792. What is the lowest common multiple of 4 and p?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114021 - 14*h**2 - 228214 + 6*h**2 + 114193.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.05 (c) 0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/27)\/(26\/36). Let h = -256\/117 - u. Find the common denominator of h and 17\/230.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -27. Solve -y*a - 11 = 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b**2 + 26*b**2 - 1 + 13*b - 2*b**2 - 17*b in the form v + n*b + f*b**2 and give f.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 284372 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -53. Let u(j) = -j**2 + 8*j - 7. Let l be u(6). Suppose -p + 73 = 4*k - y*p, 4*k = -l*p + 93. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -22*j**2 + 120*j + 222. Let k(q) = 9*q**2 - 40*q - 74. Let c(s) = 8*k(s) + 3*y(s). Let d be c(-2). Sort -4, 4, d.\nAnswer: -4, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102214557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -36*c**3 + 21*c**2 + 21*c + 21. Let y(d) = 7*d**3 - 4*d**2 - 4*d - 4. Suppose b + 19 = o, -b - 3*o - 31 = 2*o. What is b*y(k) - 4*f(k)?\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*g - 10*g**3 - 58*g**3 + 81*g**3 - 40*g.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 1014*x + 2*x**2 + 2320*x + 36 as k*x**2 + s + w*x and give w.\nAnswer: 3334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*n**2 + 556*n - 556*n - 1875*n**2 in the form r + b*n + f*n**2 and give f.\nAnswer: -1735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -61.06. Let c = -6 - -5.6. Suppose 0 = -2*p - 10, 4*p + 12 = -3*z + 5*z. What is the second smallest value in c, z, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -15687.42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 836517?\nAnswer: -836514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1795 divided by 1.\nAnswer: -1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/24426 and 49\/12486?\nAnswer: 50830506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**6\/360 - b**5\/30 + b**4\/3 + b**3\/3 - 5*b**2\/2 + 10*b - 2. Let x(n) be the second derivative of j(n). Calculate x(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 25.9, -0.5, -541, -12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 738585*v**4 - 2240393?\nAnswer: 2954340*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 55 = u. Let z(x) = -x + 5. Let g(t) = -t + 6. Let d(s) = 3*g(s) - 2*z(s). Let c be d(u). What is the biggest value in c, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10308 + 70712. Is r a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -53, -229, -583, -1175, -2065, -3313?\nAnswer: -4979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 0 - 81*j - 17\/15*j**6 + 0*j**4 + 0*j**5 + 13\/3*j**3 + 0*j**2. Find the second derivative of m(w) wrt w.\nAnswer: -408*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 81, 127, 177?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 232 = -34*h + 48, -h + 4*h + 6 = -h + l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 862, 1287, 1710?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2\/4 + 261665*p\/2 - 523325\/4 = 0. What is p?\nAnswer: 1, 104665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 11:43 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-8)))\/k)**(-7)\/(k*k\/(k**(-1\/16)*k)*k*((k*k**(-2))\/k)\/k) assuming k is positive.\nAnswer: k**(1023\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -9. Suppose -4*p + c = -0. Let k(v) = 5*v**2 - 2*v - 1. What is the tens digit of k(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - 165\/(-9). Let x be 0 + 4\/(4\/c). Suppose 5*a - x = -5*j + 3*a, 5*j = 5*a + 5. Solve 0 = q - j*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 5*a + 2, 5*d + 6*a - 9*a = 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 47. Let u = 3 + 1. Suppose -u*p + d = -9. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from msmtmtim?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 78 + 6. Let q = a + 24. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -1, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*d**2 + 2\/9*d**3 + 10\/9*d + 8\/3.\nAnswer: 2*(d - 4)*(d - 3)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -23. Let g be (-182)\/(-105) + 0 + d\/(-6). What is the nearest to g in -0.1, 1\/3, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7740 + 7739.99. Which is the nearest to -0.63? (a) o (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 38 - 17)*(3 - 2*o - 3) to j + d*o and give d.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -16. Let j = -9 - s. Suppose -2*n + j*n - 12 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/2 - 1035*d\/2 - 391956.\nAnswer: 3*(d - 712)*(d + 367)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -259, 9, -5 in ascending order.\nAnswer: -259, -5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + (sqrt(624)\/(1*sqrt(12)))\/(sqrt(400) + sqrt(400)*-2))*-3.\nAnswer: -3 + 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 102.3. Let t = l + 4.3. What is the smallest value in 0.3, -0.4, 0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8710 + 217752\/25. Which is the smallest value? (a) -0.045 (b) k (c) 2\/7 (d) 2\/17 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + -2. Let u be (q\/10)\/(-1 + 35\/50). Find the second derivative of 5*w + 13*w + 4*w**2 - 10*w - u*w**2 wrt w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjyltyh. Give prob of picking 1 l, 1 j, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3*1*(-35)\/(-21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 70.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 317294 from 0.7.\nAnswer: -317293.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15840?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8880*o + 44678. Give t(5).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**2 + 21195*s = 0. What is s?\nAnswer: 0, 4239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 88?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(170) - sqrt(170)*-1)*2)\/((-4*sqrt(90))\/sqrt(9)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1121494 and 3762.\nAnswer: 10093446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -31413 (base 5) to base 10\nAnswer: -2108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9390 + -7914. Calculate the greatest common divisor of q and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y - y. Solve y = -z - 3*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 3 + -1 + 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2219 = 84. Let o = 1282\/3 - n. Find t, given that -o + 1\/6*t**3 + 0*t**2 - 1\/2*t = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 7*y. Let k be n(4). Solve 3*b - k = 2*h - b, -5*h = 3*b - 35 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1666 = -21*r + 4*r. Does 8 divide r\/(-21)*-15 - 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) -5 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 432*c + 13886. What is p(35)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -31*o**4\/4 - o**3\/3 + 5*o**2\/2 - 3*o - 6. Let s be k(1). Let j be -2 - (-88)\/14 - s\/(-105). Solve 6 - j = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5227 (base 14) in base 11?\nAnswer: -a6a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 22*r**2. Let o(w) be the first derivative of w**3\/3 - 31. What is h(o(q))?\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1014610 (b) 5 (c) 4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/3, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + j + 20 = 0, 3*g - 48*j + 46*j = 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 193, 220, 257, 304, 361?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -32*n**2 - 23*n**2 + 46*n**2. Let b(v) = 3*v - 2*v - 2*v. What is k(b(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46418.7l to millilitres.\nAnswer: 46418700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -19*f**5\/12 + 31*f**4\/24 + 38*f**3\/3 + 58*f**2. Let v be o(24). What is v rounded to the nearest one thousand?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from bmjpjlm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5200)*4 - sqrt(520)\/(sqrt(50)\/sqrt(5)))\/((1*sqrt(20)*-4)\/(-1*sqrt(5)*6)))**2.\nAnswer: 177957\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 825\/(-45) + 30 + -7?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + y = 32, -5*c = -2*c + 4*y + 48. Let g = -18 - c. Let d(r) = -8*r - 3. What is the tens digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 31*s - 13. Let b(l) = -l - 2. Let d(f) = -16*f + 4. Let x(u) = -2*b(u) + 2*d(u). Let t(v) = 6*r(v) + 4*x(v). Find the first derivative of t(y) wrt y.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -781*g**3 - 626*g**3 + 250*g**3 - 5*g + 5*g.\nAnswer: -1157*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/5)*a**(-10) assuming a is positive.\nAnswer: a**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o = -2*f - 30, -11 = -2*o - 3*f. Solve -5*q - 4*k + 24 = 0, 0 = 3*q + o*k - 5*k - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1153365942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -28*g**2 - 59*g - 6. Let v be n(-2). Which is the second biggest value? (a) 1160 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 1 + (48\/(-4))\/(-6). Let p be -12 + s + 3\/(-5709)*-5699. Let y = p + 222751\/19030. What is the common denominator of y and 121\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 20*r = 153. Let q(d) = -7*d**2 - d**3 + 12*d - r*d - 3 + 2*d**3. Give q(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*u - 185*u + 944 = 139*u. Solve 13*i - 2*o = 10*i - 18, -i - u*o = -8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22001 is divided by 489.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cig when three letters picked without replacement from igigiicciiiiciiiii.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Let y = 5 - 1. Suppose 0 = -2*h + y*l + 34, 35 = -0*h + h + a*l. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 = -5*x + 2*r, 0 = -x + 2*r + 2. Solve -2 = -2*z + 4*h, -3 - x = -5*z + 2*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**4\/4 + a**3\/3 - a**2\/2 + 13*a - 5. Let d be u(0). Solve d*b + 6 = 15*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12729, -51745, -117045, -208629, -326497, -470649, -641085?\n\"Answer: -13142*a**2 + 410*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 8*f**2 + 33*f - 273. Let j be u(7). Solve -h - g = -1, -5*g - 2 = 3*h - j*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7699 is divided by 1863?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/8)\/(203\/(-28) - -7). Let a(b) = b**2 - 2*b + 3. What is a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q + 2 = 0. Let b = -7 + 6. Does b = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/(-32)*1\/(-45).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5219*j - 540*j - 3833*j - 5. Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5701 in 5, 0, 60\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 238, 1076, 3324, 7678, 14834, 25488?\n\"Answer: 116*n**3 + 9*n**2 - n + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 + 19029*p - 2456590\/3.\nAnswer: (p - 43)*(p + 57130)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66633012 + 0.0918.\nAnswer: -66633011.9082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 8, 2, 4 in descending order.\nAnswer: 15, 8, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30500000 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -9.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88520 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/7*b**4 + 0 + 3840\/7*b**2 - 288\/7*b + 646\/7*b**3.\nAnswer: b*(b + 12)**2*(27*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*y + 16 = 0, -y + 4*y - 30 = -5*w. Let o(b) = 389*b - 52. Is o(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - 8\/(-5). Find the second derivative of 7 - 7 + c*y - y**4 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48509 - 24261 + 12755*u - 24248 in the form w + z*u and give z.\nAnswer: 12755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 18*y - 10. Calculate the lowest common multiple of l(-10) and 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, 29, 158?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193611729082 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p - 46 + 113 = -73. Solve 161*u + 20 = 166*u - 5*l, -l - 4 = p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.61, 0.7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22 + 17*l**2 + 14*l + l + 22 wrt l.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115 * 37165.\nAnswer: -4273975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -16. Suppose p = -3*z - 5, 4*p + r + 2 = -5*z. Solve -5*n + n = 3*u, 5*n = z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5291 and 2146210?\nAnswer: 1032327010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 1196376?\nAnswer: 13160136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/(h*h**(4\/3)*h*h))**(-2)*((h*h**(-2))\/h**(2\/9))**(-3\/2) assuming h is positive.\nAnswer: h**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 74532960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 110*j + 20427 = -165*j - 357*j for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2 + 67*d - 132. What is the ten thousands digit of n(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*b - 110200, 7*z - 2*z = -5. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -118, -252, -440, -682?\n\"Answer: -27*k**2 + k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 534, 827, 1156, 1533, 1970, 2479, 3072?\nAnswer: 3761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3799618.26 minus 8.33?\nAnswer: -3799626.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 11 + -16 + 11 - (4 - 2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000847203 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gktz when four letters picked without replacement from llllkghltllzllghllgl?\nAnswer: 1\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132614821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/5)\/(3\/(-820)). Let a = o - -920. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 111. Let b(y) = y + 7. Let o be b(-7). Let a be d(o). Round a to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 507 + -5572\/11. Let c = -13\/77 + s. Sort -4, c, 1\/6 in ascending order.\nAnswer: -4, 1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*l - 25. Suppose -3*t + 2*t = -9. Suppose 0 = -3*s + t, -f - 2*s + 6 + 4 = 0. Solve -5*d = k - l, -23 = k + f*k - 4*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b8 + 6?\nAnswer: 4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -3\/2*i**2 + 25\/3*i**3 - 19 + 4*i. Is 9 a factor of q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 5. Let f be j(3). Is f equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388\/(-1540) + (-1)\/((-2)\/6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09 and 7?\nAnswer: 6.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-272)\/(-3) - (-18)\/(-27). Suppose 15 = -15*c - a. Let h(y) = -y**3 - 7*y**2 - 2*y - 6. Give h(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - d - 2. Let x(u) = -3*u + 4. Let c be x(0). Suppose -7 = c*i - 23. What is n(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 244564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = -3*m - 86, -22*m = -18*m - 2*y + 38 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6363 - 2*y + 6363 + y**3.\nAnswer: y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1061 - -1082. Calculate the highest common factor of 84 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - (4 - -6)\/2. Which is the third smallest value? (a) -5 (b) o (c) 0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058521759 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 v when three letters picked without replacement from {v: 1, p: 1, u: 1, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 17860 = 0. Let c = 35775\/8 - l. Let f = 4047 + -24409\/6. What is the common denominator of c and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20 - (-2)\/(-4)*0. Let u be 1 + (-2 - 1)*1. Let c = x - u. What is the smallest common multiple of c and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*l = -j - 12, -5*j - 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1948004\/35 < -55657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 856*d**6 + 3*d**4*t - 2*d**2*t - 562*d*t - 2*d wrt d.\nAnswer: 102720*d**3 + 72*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.6 (b) 3 (c) 6 (d) 0.2 (e) 2950\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*m + 49*m - 49*m)*(1 - 2 + 3) to g + f*m and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**4\/24 - 404*r**2. Let f(g) = 22*g**2. Calculate f(y(z)).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -118*q - 8218. What is the least common multiple of 1104 and i(-79)?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1303773 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 7. Let i be (n\/2)\/((-1)\/310). Suppose 5*w = -45 + i. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 - 7*t + 1. Let o be y(7). Suppose -k + o = -2. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 549780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4459 + -4458. Which is the third smallest value? (a) 0.4 (b) 0.11 (c) l (d) -4\/5 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/2918 and 5\/24.\nAnswer: 35016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/45*6\/3*(20 + -19)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (26\/12)\/((-150)\/225). Which is the third smallest value? (a) -5 (b) -4 (c) h (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -6, -3, 2198\/9.\nAnswer: -6, -3, 42, 2198\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/43, -1, -4, -0.13?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18463 and 1497.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5873*u - 7*k - 39 = -5875*u - 44*k, 3*k - 7 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 41.8. What is v rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 7*v**3 + (-7*v + v + 3*v)*(5*v + v**2 - 5*v) - 2*v**3 - v**2 + v**2 to k*v**2 + i*v + j + p*v**3 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46921960 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84\/(-60))\/(4\/(-10)) + (-3)\/6. Let u = -37 + 40.2. Let r = -0.8 - u. Which is the nearest to 1? (a) p (b) r (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/9 (b) 0.17 (c) 26 (d) 5 (e) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.93 - -2. Let s = w + -1.07. What is the nearest to s in -2\/7, -1\/6, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.478 - 23.6318146.\nAnswer: -25.1098146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 + (15 - 28) + 418989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 10*z + 12. Determine c(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218625 divided by -4.\nAnswer: -218625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 3 (b) 1\/2 (c) -17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14591, -58358, -131303, -233426?\nAnswer: -364727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*t + k**3*z**2 + 2*k**2*t**2*z**2 + k*t - 2*k*z**2 + t**2*z - t**2 wrt z.\nAnswer: 2*k**3 + 4*k**2*t**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4517 + -2.\nAnswer: -4519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5\/7 + 4350*s**4\/7 - 266886*s**3 + 108502416*s**2\/7 + 52430365989*s\/7 + 2088612009450\/7 = 0.\nAnswer: -93, -50, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -79\/14 (b) 2\/7 (c) 5\/2 (d) 0.04 (e) 9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + (-11 - (-93)\/9). Is -2 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/12)\/(9\/6)*-46. Suppose -51 = 22*k - d*k. Calculate the remainder when k is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + (-9 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -545357 (base 9) in base 4?\nAnswer: -1033130311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) -5 (c) 2\/9 (d) -9 (e) 2\/3 (f) 6886\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -129 + 39 + 45 + 44 - 1025*k as f*k + u and give f.\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 85\/(-15) + 33064\/6. Suppose -14*h - 5*h = -o. List the prime factors of h.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10) + (-838)\/10. Let v be (-6)\/(-5)*180\/l*-14. Let x = 41 - v. Solve x*s - 10 = -35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 900\/7 - 3\/7*a**3 - 480\/7*a + 69\/7*a**2 = 0.\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11450 divided by -6?\nAnswer: 5725\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.512969km in meters?\nAnswer: 2512.969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:37 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9))**(-6\/5)\/(q\/(q**5\/q)*q*q**(-3)\/q) assuming q is positive.\nAnswer: q**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:59 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 151991769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -21, 2 in decreasing order.\nAnswer: 5, 2, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/90)\/(3\/(-12)*-4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434 and 3286.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 6066.\nAnswer: 1\/6066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1.9, -5, -130\/7 in decreasing order.\nAnswer: 0.5, -1.9, -5, -130\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -209424 + -184?\nAnswer: -2095a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55\/2 - 136\/5. What is the common denominator of (553\/(-14))\/(3 + 6) and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from rroaadk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269859 is divided by 269859.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -51*a**3 + 3*a + 2. Suppose -11 = 5*z + 2*u, 0*u - 9 = -3*z + 4*u. Is 28 a factor of i(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one halves of a milligram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 + 20.4. Let j = h - 32. Let i = j - -7. Which is the nearest to -0.1? (a) -5 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004091 to 6 dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3076 times -3.3702?\nAnswer: 10366.7352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 117 = -4*d. Let u = d - -82. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7070 + y**2 - 7070 + 10*y**3.\nAnswer: 10*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 630.2638ug?\nAnswer: 630263.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 4*n**2 + 3*n. Let a be w(3). Let m = -3051 - -3048. Sort a, -1, 13, m in decreasing order.\nAnswer: 13, a, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*z**3 - 4790*z**2 - 120915?\nAnswer: 9*z**2 - 9580*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55691854 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 23*t**2 + 7 + 59*t**3 - 60*t**3 + 10*t - t. Is f(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88014, 88016, 88018?\n\"Answer: 2*s + 88012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 1, u: 2, k: 6, v: 1, a: 10}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rryyyrr. Give prob of sequence ry.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*w + 626 = 174*w - 61. Sort w, 267, 0 in ascending order.\nAnswer: 0, w, 267","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99403357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 93*c**3 + 2*c**2 - 7 + 25*c**3 - 2 - 34. Let z(r) = 237*r**3 + 5*r**2 - 85. Let s(k) = 5*a(k) - 2*z(k). Differentiate s(v) with respect to v.\nAnswer: 348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -1.9. Let o be 24\/(-9)*(-2)\/40. Suppose 203 - 183 = 5*i. Which is the second biggest value? (a) o (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 64?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.09 - 0.09. Let q = c + -2.2. Round q to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/66 and 131\/880?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**5 + 401*h**4 + 4*h**2 + 620*h + 25 wrt h?\nAnswer: 80*h**3 + 4812*h**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u - 15. Let a(h) = -4*h - 4. Let b(m) = 22*a(m) - 6*t(m). Calculate b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -11\/2 (c) 3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-6) + (-3)\/9. Let r be ((-2)\/y)\/((-1)\/(-3)). Solve 0 = 3*x + r*n - 9, 2*x + 2 + 3 = -5*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 530 - 527. What is the closest to 2\/7 in -1\/7, -2\/13, i, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 271 + -14994?\nAnswer: -14723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*i - 2*i. Suppose x = 3*x - i*t - 128, -5*x + 296 = -4*t. Is 102\/4*x\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g + 2*g**2 - 9*g - 15*g - 4*g**2 - 19*g - 6.\nAnswer: -2*g**2 - 50*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 53.6 + -48.6. Which is the nearest to 0.1? (a) 7 (b) v (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.99*-1131\nAnswer: 1119.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 17. Let r be 2\/(-5) - 321\/(-15). Let x be 2\/(-14) - (-108)\/r. Solve s = -f + x*c - 4 - 14, 0 = -2*f - 2*c + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + 2 + 5274 + -5211.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8682059 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.041 + -93.959. Let b = 93 + u. Which is smaller: b or -0.042?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -13. Let j(u) = u - 10 - 7 + g. Let m(d) be the second derivative of d**3\/2 - d. What is m(j(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 50111315 (base 7) to base 9\nAnswer: 7705428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 6. Let l = -28\/3 - p. Which is the nearest to l? (a) 5 (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0225 - -0.0775. Let a = -10 - 10. Let l be ((-1)\/(-26))\/(5\/a). What is the closest to d in -2\/3, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 7*a**2 - 10*a + 6. Let j be d(10). Let v be (j\/3)\/(6\/9). Suppose -5*h + v = 3*l, 0 = -5*h - 4*l + 3*l + 101. Solve 5*g - g = -h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.18 + -2.18. What is the fourth smallest value in w, -5, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.09 + -0.09. Let y = 3 - d. Suppose k = 6*k + 10. Sort y, 1, k in descending order.\nAnswer: 1, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 47*z**4\/2 + z**3\/2 + 207*z. Let s(w) = -w**2. What is v(s(b))?\nAnswer: 282*b**4 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - f**3 + (1 + 1 + 0)*(0*f**3 - 3*f**3 + 4*f**3).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -16. Factor 0*l**v + l**2 - l**2 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7*r**3 + r**4 + r - 15*r - 9*r**3 to the form b*r**3 + v + j*r**4 + p*r**2 + g*r and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -0.1, 190648, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9143*r**3 - 29845 wrt r?\nAnswer: 27429*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 555*h + 3062. What is z(-5)?\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, m: 5, f: 4}. Give prob of sequence ff.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - b)*(-5 + 0 + 3) + b + 5*b - b + 3 - 14*b - 3.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211829801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*j*v - 6*f*v**3 - 8*j*v**3 + 3*j*v**2 - 3*j*v - 18*j - v**3 wrt v?\nAnswer: -36*f*v - 48*j*v + 6*j - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 + 3 = 0. Which is the closest to 0.1? (a) 0.9 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 40268389?\nAnswer: -40268389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1580715832 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283 - -283.2112. Round k to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481 - 1890 + 481 - 13*u + 18*u + 444 + 483.\nAnswer: 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31358*s**2 + 56426*s.\nAnswer: -62716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 29*o - 66. Let n be l(3). Let s = 32 + -18. What is the highest common factor of s and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2186 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/((-1)\/(-2)). Suppose -2*k + 1 + f = 0. Let u(t) = 92*t - 1. Is u(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -84.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 3252 - 3274 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239416 (base 16) in base 5?\nAnswer: -1044103140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w - 8*w - 2*w + 6*w as b*w + q and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*r = -276*r + 6*r - 38800 for r.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3828222720?\nAnswer: 2, 3, 5, 7, 29, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45796.2 and -0.039.\nAnswer: 1786.0518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329469 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 14 = 5*i, 3*i - 3*j + 2 = 8. Let r be -6*i\/3 + -20 + 18. Let u be r*34\/(-20) + 4\/10. Put 5, u, 0.3, 4\/3 in increasing order.\nAnswer: u, 0.3, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - 27. Let l = 147 + g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l + 17442 = 873*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -3. Suppose -d + 3*k = -5, 9 = -127*d + 124*d - 3*k. Put 566, n, d in increasing order.\nAnswer: d, n, 566","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 - 75. Suppose 178 = 4*f - z. Suppose -2*a = 3*a - f. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -581757, -1163509, -1745261?\nAnswer: -2327013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4.8, 0.079, -0.3 in decreasing order.\nAnswer: 0.079, -0.3, -0.5, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/22)\/(309\/2266).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 12. Let n be z(12). Suppose n*k = -2*k. What is c in k*c - c**5 + c**3 + 0 - 1\/4*c**2 + 1\/4*c**4 = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7261565750283 + -0.4\nAnswer: 7261565750282.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 308*h**2*w**2 + 283*h*w**2 + 2*h + 2*w wrt h?\nAnswer: 616*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 44*h - 40. Calculate the remainder when 74 is divided by y(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuutuuutu. What is prob of sequence uut?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25855576\/19 or 1360819?\nAnswer: 25855576\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677212 - 292622 - 269638 = -118*v. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:01 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 8. Let a be b + 4 + -3 + 2. What is the closest to 1 in -2\/3, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/25256 and 69\/1036.\nAnswer: 934472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1534 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15892 divided by 548?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1867725?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*g + 42*g - 16. Solve 0 = g*d - 2*r, r - 4*r - 22 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + 0*a**4 - 3*a**4 - 14*a**4 + 13*a**4 - 99*a**4 + (-3 + 3*a**4 + 3)*(-1 + 2 + 0) - 4*a**4 + 0*a**4 + 2*a**4.\nAnswer: -102*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 1\/9, 1\/253, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2563313529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025297422 to 7 decimal places.\nAnswer: 0.0025297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 548\/274*253\/11\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2929567?\nAnswer: 383, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/7 + 110*j**3\/7 + 2269*j**2\/7 - 48410*j\/7 - 15000 = 0. What is j?\nAnswer: -28, -2, 15, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3700783, -3700789, -3700795, -3700801, -3700807?\n\"Answer: -6*y - 3700777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*s - 3, -9 = -7*s + 4*s - 3*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 5*z**4\/2 - 29*z**3\/3 - z**2 - 10. Find the third derivative of b(u) wrt u.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 38 = f, 3 = 2*n - f - 15. Suppose 0 = -u + 2*u - n. Solve -2*j = -q + 5, -2*q + 3*j + 2 = -u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.699591 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1485 - 1465 - 3*i - 20.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*y - 4 = 0. Suppose -1 = y*r - 41. Solve -r = 5*f - 0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, 2 in ascending order.\nAnswer: -10, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 17 = 3*r. Suppose -12 = -c + 2*l, 8 = -c + 2*l - 5*l. What is the closest to -2 in c, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (-4*(1*sqrt(637) - sqrt(637)) + sqrt(637) - sqrt(637)) + 1 + sqrt(637) + sqrt(637) + -5)**2 + -4 + -5.\nAnswer: -112*sqrt(13) + 2551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -359 by 4.\nAnswer: -359\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001560732795 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u - 1772 = 2038 - 332. Let v = -104 + 247. What is the remainder when v is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/21 + (-180)\/(-7). Suppose -f = -3*l + l. Calculate the remainder when 0 + 53 + (-4 - -1) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/5673 + 50915\/402783. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c2cd (base 16) to base 14\nAnswer: 9b83b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 64\/(-8)*(-2)\/(-4). Does 3 divide ((-10)\/o)\/(3\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -50. Sort w, 5, 3, 1.\nAnswer: 1, 3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17875698 divided by 6?\nAnswer: 2979283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -0.1, 5, -4, -39.\nAnswer: -39, -4, -0.1, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 - 5202699.\nAnswer: -5202749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Suppose -4*u + 4*a = 4, -g*a + 13 - 2 = -u. What is the greatest common factor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.202 and 0.1?\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2089\/26 + 54\/13. Let q = 53 - d. Calculate the common denominator of 5\/(-7)*1*-3 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 9*m**2 + 2*m - 3. What is the tens digit of t(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 50020521 (base 6) to base 7\nAnswer: 14630551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16228248 to 4 dps.\nAnswer: 0.1623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 8*v - 4. Let k be l(-3). Suppose 5*x = 69 + k. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101873.8ng to milligrams.\nAnswer: 0.1018738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 2)*(185 - 16*f**3 - 185 + f).\nAnswer: -128*f**3 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 - 5*b**2 - 9*b + 7. Let q be s(-4). What is the tens digit of -5*(3 - 2) - q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w - 2. Suppose 5*z = 7 + 13. What is the least common multiple of z and (-96)\/(-9) - w\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 2. Suppose 5*f = -4*x - 6, 5*x - 3*x - 2 = 0. Let o be 595\/65 + f\/13. Suppose 0 = -5*t - o + 19. Calculate q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 + 100.7. Suppose -3*q - 5*g + 8 + 7 = 0, 0 = g - 3. What is the closest to 9 in -1, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x + 3 - 29*x - 3.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34054428 divided by -3\nAnswer: 11351476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, k: 1, w: 3, v: 3, e: 1}. What is prob of sequence nk?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-30) - 18\/45) + 0. Factor -10\/3*y**2 - 2\/3*y**5 + 2*y**3 + h*y**4 + 0 + 4\/3*y.\nAnswer: -2*y*(y - 1)**3*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -390 + -129a504?\nAnswer: -129a894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -4. Suppose -3*g - g = -t. Which is the biggest value? (a) g (b) 0.2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -737*i**2*n**3*z - 33*i**2*n*z**2 - 840*i*n**2*z - i*n*z**2 + n**3 + 7*n wrt i?\nAnswer: -1474*n**3*z - 66*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77522 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 12 = -d + 6*d, 0 = -3*x - 9. Suppose 4 = d*z - z. Let t be z + (-3)\/2 - (-10)\/20. What is the nearest to -3 in -2, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-35)\/(-4200))\/((-2)\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/5592 and -65\/5592.\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*y + 11. Let l = y + 8. Suppose 2*t + l - 1 = -q, -2*q + 6 = -4*t. Let r(b) = b**2 - b + 1. What is r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(2\/11)*g)\/g)*g)\/(g*g**(-6\/11)))\/(g*g*g*g**(-4\/13)*g**(-19)) assuming g is positive.\nAnswer: g**(2527\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - c = -17, 5*g - 5*c - 1950 = -2035 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-74)\/37)\/(-2*1\/2). Solve -z = 2*y + 5, 0*z + 6 = -f*z - 2*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 1\/5*w**6 + 0 + 0*w**2 - 7\/12*w**4 + 0*w**5 - 2*w + 0*w**3. Find the third derivative of s(j) wrt j.\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r\/(r**19\/r))*r**(-9)*(r**2)**40 assuming r is positive.\nAnswer: r**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3345 - 117605.1?\nAnswer: -117606.4345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/28 - (15 - (770\/49 - 17)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-1*-2)\/((1*sqrt(100))\/sqrt(10)) - (sqrt(66)\/sqrt(6)*-3 + sqrt(11) - sqrt(77)\/sqrt(7)*1).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 5)*((-3 + 4 - 2)*(2*i + 1 - 1) - 1 - i + 1 + (1 + 0 + 1)*(4 - 4 + i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.012 + 0.388. What is the closest to -2\/9 in 4\/3, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjt when three letters picked without replacement from {v: 3, j: 1, z: 2, e: 1, t: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 4. Let u(g) = 2*g**2 + 3*g - 3. Let f = 268 - 272. Let z(s) = s**2 + 2*s - 2. What is f*u(r) + v*z(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8805078 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 27. Let s = -18 + 26. Solve 0 = -t*h + h + s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by -4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 - 2*y**3 + 3*y**3 + (-2 + 4 - 4)*(-7*y**3 + 10*y**3 + 13*y**3) to the form i + d*y**3 + v*y + n*y**2 and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 322055?\nAnswer: -322051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/12)\/((-3)\/(-16522)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/2 + 13*a**4\/6 + 7*a**3\/2 + 5*a**2\/2 + 2*a\/3.\nAnswer: a*(a + 1)**3*(3*a + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1161 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -66c6 (base 13) to base 2\nAnswer: -11100000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 21. Let m be (21\/(-14))\/((-18)\/r). What is the nearest to m in -2\/11, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7831298.\nAnswer: 2, 167, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*t - k - 331, -201 = 3*t - 3*k. Let x = t + 191\/3. Factor 0*s**2 + 4\/3*s**3 - 4\/3*s + x*s**4 - 2\/3.\nAnswer: 2*(s - 1)*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (223\/2676*(-4)\/(-2))\/((-1)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 1329*w**2 + 50*w**2.\nAnswer: 1377*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4216747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5*t*(t**5*t)\/t*t**(2\/5)\/(t*t*t**(-2)\/t) assuming t is positive.\nAnswer: t**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 36) + -5 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6179 and 21030143.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8241 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 965665, 965669, 965673, 965677?\n\"Answer: 4*j + 965661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11*a + 43*a + 1 as g + d*a and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340750069.\nAnswer: 11, 983, 31513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/5)\/((-11)\/(-1265)). What is the hundreds digit of 1*a\/(-8)*(1 - 21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7748*y**2 + 7748*y**2 - y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.982 take away 0.393?\nAnswer: 465.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(27)\/((sqrt(1089) - sqrt(1089)*2) + sqrt(9)) - sqrt(12)\/(sqrt(8)\/sqrt(50)))**2.\nAnswer: -23409\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2706487.\nAnswer: 21651896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from iihpfphf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 211056 = -717524. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.1. Suppose 7*b - 9*b = -6. Suppose -5*a - 4*h = -22, 4*a + 4 - b = 3*h. What is the closest to 0 in a, 0.07, u?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 64. Let j = o - 26. Solve -j*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, and 1 v when three letters picked without replacement from {d: 1, v: 1, z: 6, m: 2, p: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47275902 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*h = -8*h, 5*g + 2*h = 0. Let z(o) = -o**3 + o**2 - 2*o - 2. Calculate z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -o + 2, 0*d + 3*d - 26 = -o. Suppose -3*h - 60 = 54. Let l = 15 - h. Calculate the remainder when l is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.1641 times -0.63\nAnswer: 15.853383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1341 + -7?\nAnswer: -1348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (55\/10 + -3)*-2. Let z be c\/(-10)*-12 - 0. What is the tens digit of ((-18)\/(-8))\/(z\/(-160))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -239*b**3 + 707*b**3 - 232*b**3 - 232*b**3 + 3*b**2 + 1 as c + s*b**3 + w*b + a*b**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 11*x**3 + 3*x**3 + 7*x**3 + 2*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 2. Let k be w(0). Suppose 15 = k*y + y. Suppose -p = y, p - 14395 = 2*h + 2*h. What is h rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 19*o**2 - o - 2. Let g be y(-1). Suppose 3*n + 13 = 4*r, r = 5*r + 2*n - g. What is the units digit of (-129 - 2)\/(r - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -411 (base 8) to base 14.\nAnswer: -14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 12:19 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**3\/3 + 4142. Let d(f) be the second derivative of -19*f**4\/12 - 2*f. Give n(d(u)).\nAnswer: 361*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 12:11 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3860 and 9629156.\nAnswer: 48145780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5988507937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**4*h**2 + 181*g*h**2 + 276*h**2 with respect to g.\nAnswer: -20*g**3*h**2 + 181*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 359640 divided by -6\nAnswer: -59940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-66))\/((98\/12)\/7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -25 + (50 - 23) + (-35)\/(-5). Let w be (-82)\/(-7) - 2\/(-7). Solve w*x = d*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1406)\/740 - 3\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*t**3 - 53*t**3 + 2 + t**2 + 83*t**3 + (2*t + 2*t - t)*(-5*t**2 - 3*t**2 + t**2).\nAnswer: -61*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 2) + -1 - -116 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5\/17 (b) -1 (c) 0.1 (d) 6\/11 (e) -8.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 47176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 912*q**3 + 2*q**2 - 82*q.\nAnswer: 5472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55196 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10408.2*-2604.\nAnswer: -27102952.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*u + 168 - 316 = 204. Suppose 4 = 2*h, 0 = -a + 3*h + h - 8. Solve -u*q + 3*q = a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/4 - 7561*l**3 - 515015*l**2 - 8760168*l = 0.\nAnswer: -34, 0, 30312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {p: 3, s: 2, h: 12}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g**2 - 29*g**2 - 3*g**2)*(-1 - 2 + 2)*(-g - 2*g + 6*g) - 231*g**3 + 573*g**3 - 120*g**3 as l + m*g**2 + h*g**3 + p*g and give h.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 953701784 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3356 and 24?\nAnswer: 20136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -369412, -369407, -369402, -369397, -369392?\n\"Answer: 5*t - 369417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u + 0*u + 0*u in the form c + w*u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -5*c. Let r be (-4)\/c*78\/(-12). Suppose -r = -p + 157. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 20 = -2*l, -4*l - 6*n = -3*n - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 118*l - 689. What is the hundreds digit of x(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07310124 - 110\nAnswer: -110.07310124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 677, 3\/7, 4, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5255850.2 rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 20 = q. Let v = -6 + q. Let p(d) = d**3 + 4*d**2 + 4*d + 3. List the prime factors of p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/(-230)*(-414)\/(-2277)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1008789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {b: 3, z: 1, o: 2, p: 2, v: 1, a: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31412 take away 4989900?\nAnswer: -5021312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 + -2.4000304. What is m rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.7, 0.1, -20\/2019?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*1*1\/(-6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*u - 24 - 130*u + 158*u + u**2 in the form c + x*u**2 + b*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77212 + 112412. What is the highest common factor of 50 and g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + v + 11, -1508*q - 3*v = -1512*q + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, 1, -16, 6, -651 in decreasing order.\nAnswer: 6, 3, 1, 0, -2, -16, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 7 + (-1 - 5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1010198, 1010202, 1010206?\nAnswer: 1010210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 63929725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 11) in base 3?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 7\/138, 0.5, 1.52, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-4) - (-2)\/2)*(-3240)\/3600.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (120 - 252) + 10?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -473, 32844 in decreasing order.\nAnswer: 32844, -1, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -28, 29, 0.17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -5*c**4\/24 + 4*c**3\/3 + 11*c**2 - 56*c. Let s = -11 + 6. Let b(u) = -5*u + 7. What is s*l(o) + 6*b(o)?\nAnswer: -5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 15, -1\/3, -2\/45, -2, -0.021, 0.7, 2\/13?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/2)\/((-12)\/(-8)). Let i(m) = -m**2 - 1. Let t(p) = -3*p**3 + 3*p**2 + 3. Let c(v) = -36*v - 966. Let f be c(-27). What is f*i(j) + r*t(j)?\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -318338355.8 rounded to the nearest 1000000?\nAnswer: -318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}